From fbd10a48d4525e2bc5fb880e81dfb6f1ae6720a8 Mon Sep 17 00:00:00 2001
From: Awni Hannun <awni@apple.com>
Date: Wed, 29 Nov 2023 12:41:56 -0800
Subject: [PATCH] docs

---
 docs/build/html/.buildinfo                    |     4 +
 docs/build/html/_sources/cpp/ops.rst.txt      |     6 +
 .../html/_sources/dev/extensions.rst.txt      |   948 ++
 .../examples/linear_regression.rst.txt        |    77 +
 .../_sources/examples/llama-inference.rst.txt |   382 +
 docs/build/html/_sources/examples/mlp.rst.txt |   131 +
 docs/build/html/_sources/index.rst.txt        |    49 +
 docs/build/html/_sources/install.rst.txt      |   102 +
 .../_autosummary/mlx.core.Device.rst.txt      |    28 +
 .../_autosummary/mlx.core.Dtype.rst.txt       |    28 +
 .../_autosummary/mlx.core.Stream.rst.txt      |    28 +
 .../python/_autosummary/mlx.core.abs.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.add.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.all.rst.txt  |     6 +
 .../_autosummary/mlx.core.allclose.rst.txt    |     6 +
 .../python/_autosummary/mlx.core.any.rst.txt  |     6 +
 .../_autosummary/mlx.core.arange.rst.txt      |     6 +
 .../_autosummary/mlx.core.arccos.rst.txt      |     6 +
 .../_autosummary/mlx.core.arccosh.rst.txt     |     6 +
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 .../_autosummary/mlx.core.arctan.rst.txt      |     6 +
 .../_autosummary/mlx.core.arctanh.rst.txt     |     6 +
 .../_autosummary/mlx.core.argmax.rst.txt      |     6 +
 .../_autosummary/mlx.core.argmin.rst.txt      |     6 +
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 .../_autosummary/mlx.core.array.T.rst.txt     |     6 +
 .../_autosummary/mlx.core.array.abs.rst.txt   |     6 +
 .../_autosummary/mlx.core.array.all.rst.txt   |     6 +
 .../_autosummary/mlx.core.array.any.rst.txt   |     6 +
 .../mlx.core.array.argmax.rst.txt             |     6 +
 .../mlx.core.array.argmin.rst.txt             |     6 +
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 .../_autosummary/mlx.core.array.cos.rst.txt   |     6 +
 .../_autosummary/mlx.core.array.dtype.rst.txt |     6 +
 .../_autosummary/mlx.core.array.exp.rst.txt   |     6 +
 .../_autosummary/mlx.core.array.item.rst.txt  |     6 +
 .../_autosummary/mlx.core.array.log.rst.txt   |     6 +
 .../_autosummary/mlx.core.array.log1p.rst.txt |     6 +
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 .../_autosummary/mlx.core.array.ndim.rst.txt  |     6 +
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 .../mlx.core.array.reciprocal.rst.txt         |     6 +
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 .../_autosummary/mlx.core.array.rst.txt       |    66 +
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 .../_autosummary/mlx.core.array.size.rst.txt  |     6 +
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 .../_autosummary/mlx.core.array.sqrt.rst.txt  |     6 +
 .../mlx.core.array.square.rst.txt             |     6 +
 .../_autosummary/mlx.core.array.sum.rst.txt   |     6 +
 .../mlx.core.array.tolist.rst.txt             |     6 +
 .../mlx.core.array.transpose.rst.txt          |     6 +
 .../_autosummary/mlx.core.array.var.rst.txt   |     6 +
 .../_autosummary/mlx.core.array_equal.rst.txt |     6 +
 .../mlx.core.broadcast_to.rst.txt             |     6 +
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 .../python/_autosummary/mlx.core.cosh.rst.txt |     6 +
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 .../python/_autosummary/mlx.core.erf.rst.txt  |     6 +
 .../_autosummary/mlx.core.erfinv.rst.txt      |     6 +
 .../python/_autosummary/mlx.core.eval.rst.txt |     6 +
 .../python/_autosummary/mlx.core.exp.rst.txt  |     6 +
 .../_autosummary/mlx.core.expand_dims.rst.txt |     6 +
 .../_autosummary/mlx.core.fft.fft.rst.txt     |     6 +
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 .../python/_autosummary/mlx.core.full.rst.txt |     6 +
 .../python/_autosummary/mlx.core.grad.rst.txt |     6 +
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 .../mlx.core.greater_equal.rst.txt            |     6 +
 .../python/_autosummary/mlx.core.jvp.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.less.rst.txt |     6 +
 .../_autosummary/mlx.core.less_equal.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.load.rst.txt |     6 +
 .../python/_autosummary/mlx.core.log.rst.txt  |     6 +
 .../_autosummary/mlx.core.log10.rst.txt       |     6 +
 .../_autosummary/mlx.core.log1p.rst.txt       |     6 +
 .../python/_autosummary/mlx.core.log2.rst.txt |     6 +
 .../_autosummary/mlx.core.logaddexp.rst.txt   |     6 +
 .../_autosummary/mlx.core.logical_not.rst.txt |     6 +
 .../_autosummary/mlx.core.logsumexp.rst.txt   |     6 +
 .../_autosummary/mlx.core.matmul.rst.txt      |     6 +
 .../python/_autosummary/mlx.core.max.rst.txt  |     6 +
 .../_autosummary/mlx.core.maximum.rst.txt     |     6 +
 .../python/_autosummary/mlx.core.mean.rst.txt |     6 +
 .../python/_autosummary/mlx.core.min.rst.txt  |     6 +
 .../_autosummary/mlx.core.minimum.rst.txt     |     6 +
 .../_autosummary/mlx.core.multiply.rst.txt    |     6 +
 .../_autosummary/mlx.core.negative.rst.txt    |     6 +
 .../_autosummary/mlx.core.new_stream.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.ones.rst.txt |     6 +
 .../_autosummary/mlx.core.ones_like.rst.txt   |     6 +
 .../python/_autosummary/mlx.core.pad.rst.txt  |     6 +
 .../_autosummary/mlx.core.partition.rst.txt   |     6 +
 .../python/_autosummary/mlx.core.prod.rst.txt |     6 +
 .../mlx.core.random.bernoulli.rst.txt         |     6 +
 .../mlx.core.random.categorical.rst.txt       |     6 +
 .../mlx.core.random.gumbel.rst.txt            |     6 +
 .../_autosummary/mlx.core.random.key.rst.txt  |     6 +
 .../mlx.core.random.normal.rst.txt            |     6 +
 .../mlx.core.random.randint.rst.txt           |     6 +
 .../_autosummary/mlx.core.random.seed.rst.txt |     6 +
 .../mlx.core.random.split.rst.txt             |     6 +
 .../mlx.core.random.truncated_normal.rst.txt  |     6 +
 .../mlx.core.random.uniform.rst.txt           |     6 +
 .../_autosummary/mlx.core.reciprocal.rst.txt  |     6 +
 .../_autosummary/mlx.core.reshape.rst.txt     |     6 +
 .../_autosummary/mlx.core.rsqrt.rst.txt       |     6 +
 .../python/_autosummary/mlx.core.save.rst.txt |     6 +
 .../_autosummary/mlx.core.savez.rst.txt       |     6 +
 .../mlx.core.savez_compressed.rst.txt         |     6 +
 .../mlx.core.set_default_device.rst.txt       |     6 +
 .../mlx.core.set_default_stream.rst.txt       |     6 +
 .../_autosummary/mlx.core.sigmoid.rst.txt     |     6 +
 .../python/_autosummary/mlx.core.sign.rst.txt |     6 +
 .../python/_autosummary/mlx.core.sin.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.sinh.rst.txt |     6 +
 .../_autosummary/mlx.core.softmax.rst.txt     |     6 +
 .../python/_autosummary/mlx.core.sort.rst.txt |     6 +
 .../_autosummary/mlx.core.split.rst.txt       |     6 +
 .../python/_autosummary/mlx.core.sqrt.rst.txt |     6 +
 .../_autosummary/mlx.core.square.rst.txt      |     6 +
 .../_autosummary/mlx.core.squeeze.rst.txt     |     6 +
 .../mlx.core.stop_gradient.rst.txt            |     6 +
 .../_autosummary/mlx.core.subtract.rst.txt    |     6 +
 .../python/_autosummary/mlx.core.sum.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.take.rst.txt |     6 +
 .../mlx.core.take_along_axis.rst.txt          |     6 +
 .../python/_autosummary/mlx.core.tan.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.tanh.rst.txt |     6 +
 .../_autosummary/mlx.core.transpose.rst.txt   |     6 +
 .../mlx.core.value_and_grad.rst.txt           |     6 +
 .../python/_autosummary/mlx.core.var.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.vjp.rst.txt  |     6 +
 .../python/_autosummary/mlx.core.vmap.rst.txt |     6 +
 .../_autosummary/mlx.core.where.rst.txt       |     6 +
 .../_autosummary/mlx.core.zeros.rst.txt       |     6 +
 .../_autosummary/mlx.core.zeros_like.rst.txt  |     6 +
 .../python/_autosummary/mlx.nn.Conv1d.rst.txt |     8 +
 .../python/_autosummary/mlx.nn.Conv2d.rst.txt |     8 +
 .../_autosummary/mlx.nn.Embedding.rst.txt     |     8 +
 .../python/_autosummary/mlx.nn.GELU.rst.txt   |     8 +
 .../_autosummary/mlx.nn.GroupNorm.rst.txt     |     8 +
 .../_autosummary/mlx.nn.LayerNorm.rst.txt     |     8 +
 .../python/_autosummary/mlx.nn.Linear.rst.txt |     8 +
 .../mlx.nn.MultiHeadAttention.rst.txt         |     8 +
 .../_autosummary/mlx.nn.RMSNorm.rst.txt       |     8 +
 .../python/_autosummary/mlx.nn.ReLU.rst.txt   |     8 +
 .../python/_autosummary/mlx.nn.RoPE.rst.txt   |     8 +
 .../_autosummary/mlx.nn.Sequential.rst.txt    |     8 +
 .../python/_autosummary/mlx.nn.SiLU.rst.txt   |     8 +
 .../mlx.nn.value_and_grad.rst.txt             |     6 +
 .../_autosummary/mlx.optimizers.Adam.rst.txt  |    18 +
 .../mlx.optimizers.Optimizer.rst.txt          |    20 +
 .../mlx.optimizers.OptimizerState.rst.txt     |    17 +
 .../_autosummary/mlx.optimizers.SGD.rst.txt   |    18 +
 .../mlx.utils.tree_flatten.rst.txt            |     6 +
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 .../mlx.utils.tree_unflatten.rst.txt          |     6 +
 .../mlx.nn.gelu.rst.txt                       |     8 +
 .../mlx.nn.gelu_approx.rst.txt                |     8 +
 .../mlx.nn.gelu_fast_approx.rst.txt           |     8 +
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 docs/build/html/_sources/python/array.rst.txt |    45 +
 .../html/_sources/python/data_types.rst.txt   |    52 +
 .../python/devices_and_streams.rst.txt        |    17 +
 docs/build/html/_sources/python/fft.rst.txt   |    22 +
 docs/build/html/_sources/python/nn.rst.txt    |   172 +
 .../html/_sources/python/nn/module.rst.txt    |     7 +
 docs/build/html/_sources/python/ops.rst.txt   |    94 +
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 .../build/html/_sources/python/random.rst.txt |    45 +
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 docs/build/html/_sources/quick_start.rst.txt  |    93 +
 .../build/html/_sources/using_streams.rst.txt |    16 +
 .../_sphinx_javascript_frameworks_compat.js   |   134 +
 docs/build/html/_static/basic.css             |   930 ++
 docs/build/html/_static/css/badge_only.css    |     1 +
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 docs/build/html/_static/css/theme.css         |     4 +
 docs/build/html/_static/doctools.js           |   264 +
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 docs/build/html/_static/file.png              |   Bin 0 -> 286 bytes
 docs/build/html/_static/jquery-3.6.0.js       | 10881 ++++++++++++++++
 docs/build/html/_static/jquery.js             |     2 +
 docs/build/html/_static/js/badge_only.js      |     1 +
 .../_static/js/html5shiv-printshiv.min.js     |     4 +
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 docs/build/html/_static/pygments.css          |    74 +
 docs/build/html/_static/searchtools.js        |   531 +
 docs/build/html/_static/underscore-1.13.1.js  |  2042 +++
 docs/build/html/_static/underscore.js         |     6 +
 docs/build/html/cpp/ops.html                  |   141 +
 docs/build/html/dev/extensions.html           |  1036 ++
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 docs/build/html/examples/llama-inference.html |   514 +
 docs/build/html/examples/mlp.html             |   252 +
 docs/build/html/genindex.html                 |   788 ++
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diff --git a/docs/build/html/.buildinfo b/docs/build/html/.buildinfo
new file mode 100644
index 000000000..39cf7df46
--- /dev/null
+++ b/docs/build/html/.buildinfo
@@ -0,0 +1,4 @@
+# Sphinx build info version 1
+# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
+config: 5b1e2769941ea186df86318a9fdcef20
+tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/docs/build/html/_sources/cpp/ops.rst.txt b/docs/build/html/_sources/cpp/ops.rst.txt
new file mode 100644
index 000000000..4d2d1404e
--- /dev/null
+++ b/docs/build/html/_sources/cpp/ops.rst.txt
@@ -0,0 +1,6 @@
+.. _cpp_ops:
+
+Operations
+==========
+
+
diff --git a/docs/build/html/_sources/dev/extensions.rst.txt b/docs/build/html/_sources/dev/extensions.rst.txt
new file mode 100644
index 000000000..36f44a4bb
--- /dev/null
+++ b/docs/build/html/_sources/dev/extensions.rst.txt
@@ -0,0 +1,948 @@
+Developer Documentation
+=======================
+
+MLX provides a open and flexible backend to which users may add operations 
+and specialized implementations without much hassle. While the library supplies
+efficient operations that can be used and composed for any number of 
+applications, there may arise cases where new functionalities or highly 
+optimized implementations are needed. For such cases, you may design and 
+implement your own operations that link to and build on top of :mod:`mlx.core`.
+We will introduce the inner-workings of MLX and go over a simple example to 
+learn the steps involved in adding new operations to MLX with your own CPU 
+and GPU implementations. 
+
+Introducing the Example
+-----------------------
+
+Let's say that you would like an operation that takes in two arrays, 
+``x`` and ``y``, scales them both by some coefficents ``alpha`` and ``beta``
+respectively, and then adds them together to get the result 
+``z = alpha * x + beta * y``. Well, you can very easily do that by just 
+writing out a function as follows:
+
+.. code-block:: python
+
+    import mlx.core as mx
+
+    def simple_axpby(x: mx.array, y: mx.array, alpha: float, beta: float) -> mx.array:
+        return alpha * x + beta * y
+
+This function performs that operation while leaving the implementations and 
+differentiation to MLX. 
+
+However, you work with vector math libraries often and realize that the 
+``axpby`` routine defines the same operation ``Y = (alpha * X) + (beta * Y)``. 
+You would really like the part of your applications that does this operation 
+on the CPU to be very fast - so you decide that you want it to rely on the 
+``axpby`` routine provided by the Accelerate_ framework. Continuing to impose 
+our assumptions on to you, let's also assume that you want to learn how add 
+your own implementation for the gradients of your new operation while going 
+over the ins-and-outs of the MLX framework. 
+
+Well, what a coincidence! You are in the right place. Over the course of this 
+example, we will learn:
+
+* The structure of the MLX library from the frontend API to the backend implementations.
+* How to implement your own CPU backend that redirects to Accelerate_ when appropriate (and a fallback if needed).
+* How to implement your own GPU implementation using metal.
+* How to add your own ``vjp`` and ``jvp``.
+* How to build your implementations, link them to MLX, and bind them to python.
+
+Operations and Primitives
+-------------------------
+
+In one sentence, operations in MLX build the computation graph, and primitives 
+provide the rules for evaluation and transformations of said graph. Let's start 
+by discussing operations in more detail. 
+
+Operations
+^^^^^^^^^^^
+
+Operations are the frontend functions that operate on arrays. They are defined 
+in the C++ API (:ref:`cpp_ops`) and then we provide bindings to these 
+operations in the Python API (:ref:`ops`). 
+
+We would like an operation, :meth:`axpby` that takes in two arrays ``x`` and ``y``,
+and two scalars, ``alpha`` and ``beta``. This is how we would define it in the 
+C++ API:
+
+.. code-block:: C++
+
+    /**
+    *  Scale and sum two vectors elementwise
+    *  z = alpha * x + beta * y
+    *
+    *  Follow numpy style broadcasting between x and y
+    *  Inputs are upcasted to floats if needed
+    **/
+    array axpby(
+        const array& x, // Input array x
+        const array& y, // Input array y
+        const float alpha, // Scaling factor for x
+        const float beta, // Scaling factor for y
+        StreamOrDevice s = {} // Stream on which to schedule the operation
+    );
+
+
+This operation itself can call other operations within it if needed. So, the 
+simplest way to go about implementing this operation would be do so in terms 
+of existing operations. 
+
+.. code-block:: C++
+
+    array axpby(
+        const array& x, // Input array x
+        const array& y, // Input array y
+        const float alpha, // Scaling factor for x
+        const float beta, // Scaling factor for y
+        StreamOrDevice s /* = {} */ // Stream on which to schedule the operation
+    ) {
+        // Scale x and y on the provided stream
+        auto ax = multiply(array(alpha), x, s);
+        auto by = multiply(array(beta), y, s);
+        
+        // Add and return
+        return add(ax, by, s);
+    }
+
+However, as we discussed earlier, this is not our goal. The operations themselves 
+do not contain the implementations that act on the data, nor do they contain the
+rules of transformations. Rather, they are an easy to use interface that build 
+on top of the building blocks we call :class:`Primitive`. 
+
+Primitives
+^^^^^^^^^^^
+
+A :class:`Primitive` is part of the computation graph of an :class:`array`. It 
+defines how to create an output given a set of input :class:`array` . Further,
+a :class:`Primitive` is a class that contains rules on how it is evaluated 
+on the CPU or GPU, and how it acts under transformations such as ``vjp`` and 
+``jvp``. These words on their own can be a bit abstract, so lets take a step 
+back and go to our example to give ourselves a more concrete image. 
+
+.. code-block:: C++
+
+    class Axpby : public Primitive {
+      public:
+        explicit Axpby(Stream stream, float alpha, float beta)
+            : Primitive(stream), alpha_(alpha), beta_(beta){};
+
+        /**
+        * A primitive must know how to evaluate itself on the CPU/GPU
+        * for the given inputs and populate the output array.
+        *
+        * To avoid unecessary allocations, the evaluation function
+        * is responsible for allocating space for the array.
+        */
+        void eval_cpu(const std::vector<array>& inputs, array& out) override;
+        void eval_gpu(const std::vector<array>& inputs, array& out) override;
+
+        /** The Jacobian-vector product. */
+        array jvp(
+            const std::vector<array>& primals,
+            const std::vector<array>& tangents,
+            const std::vector<int>& argnums) override;
+
+        /** The vector-Jacobian product. */
+        std::vector<array> vjp(
+            const std::vector<array>& primals,
+            const array& cotan,
+            const std::vector<int>& argnums) override;
+
+        /**
+        * The primitive must know how to vectorize itself accross
+        * the given axes. The output is a pair containing the array
+        * representing the vectorized computation and the axis which
+        * corresponds to the output vectorized dimension.
+        */
+        std::pair<array, int> vmap(
+            const std::vector<array>& inputs,
+            const std::vector<int>& axes) override;
+
+        /** Print the primitive. */
+        void print(std::ostream& os) override {
+            os << "Axpby";
+        }
+
+        /** Equivalence check **/
+        bool is_equivalent(const Primitive& other) const override;
+
+      private:
+        float alpha_;
+        float beta_;
+
+        /** Fall back implementation for evaluation on CPU */
+        void eval(const std::vector<array>& inputs, array& out);
+    };
+
+The :class:`Axpby` class derives from the base :class:`Primitive` class and 
+follows the above demonstrated interface. :class:`Axpby` treats ``alpha`` and 
+``beta`` as parameters. It then provides implementations of how the array ``out`` 
+is produced given ``inputs`` through :meth:`Axpby::eval_cpu` and 
+:meth:`Axpby::eval_gpu`. Further, it provides rules of transformations in 
+:meth:`Axpby::jvp`, :meth:`Axpby::vjp`, and :meth:`Axpby::vmap`. 
+
+Using the Primitives
+^^^^^^^^^^^^^^^^^^^^^
+
+Operations can use this :class:`Primitive` to add a new :class:`array` to 
+the computation graph. An :class:`array` can be constructed by providing its 
+data type, shape, the :class:`Primitive` that computes it, and the 
+:class:`array` inputs that are passed to the primitive.
+
+Let's re-implement our operation now in terms of our :class:`Axpby` primitive.
+
+.. code-block:: C++
+
+    array axpby(
+        const array& x, // Input array x
+        const array& y, // Input array y
+        const float alpha, // Scaling factor for x
+        const float beta, // Scaling factor for y
+        StreamOrDevice s /* = {} */ // Stream on which to schedule the operation
+    ) {
+        // Promote dtypes between x and y as needed
+        auto promoted_dtype = promote_types(x.dtype(), y.dtype());
+
+        // Upcast to float32 for non-floating point inputs x and y
+        auto out_dtype = is_floating_point(promoted_dtype)
+            ? promoted_dtype
+            : promote_types(promoted_dtype, float32);
+
+        // Cast x and y up to the determined dtype (on the same stream s)
+        auto x_casted = astype(x, out_dtype, s);
+        auto y_casted = astype(y, out_dtype, s);
+
+        // Broadcast the shapes of x and y (on the same stream s)
+        auto broadcasted_inputs = broadcast_arrays({x_casted, y_casted}, s);
+        auto out_shape = broadcasted_inputs[0].shape();
+
+        // Construct the array as the output of the Axpby primitive
+        // with the broadcasted and upcasted arrays as inputs
+        return array(
+            /* const std::vector<int>& shape = */ out_shape,
+            /* Dtype dtype = */ out_dtype,
+            /* std::unique_ptr<Primitive> primitive = */
+            std::make_unique<Axpby>(to_stream(s), alpha, beta),
+            /* const std::vector<array>& inputs = */ broadcasted_inputs);
+    }
+
+
+This operation now handles the following:
+
+#. Upcast inputs and resolve the the output data type.
+#. Broadcast the inputs and resolve the output shape.
+#. Construct the primitive :class:`Axpby` using the given stream, ``alpha``, and ``beta``.
+#. Construct the output :class:`array` using the primitive and the inputs.
+
+Implementing the Primitive
+--------------------------
+
+No computation happens when we call the operation alone. In effect, the 
+operation only builds the computation graph. When we evaluate the output 
+array, MLX schedules the execution of the computation graph, and calls
+:meth:`Axpby::eval_cpu` or :meth:`Axpby::eval_gpu` depending on the 
+stream/device specified by the user. 
+
+.. warning::
+    When :meth:`Primitive::eval_cpu` or :meth:`Primitive::eval_gpu` are called,
+    no memory has been allocated for the output array. It falls on the implementation
+    of these functions to allocate memory as needed
+
+Implementing the CPU Backend
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+Let's start by trying to implement a naive and generic version of 
+:meth:`Axpby::eval_cpu`. We declared this as a private member function of 
+:class:`Axpby` earlier called :meth:`Axpby::eval`. 
+
+Our naive method will go over each element of the output array, find the 
+corresponding input elements of ``x`` and ``y`` and perform the operation 
+pointwise. This is captured in the templated function :meth:`axpby_impl`. 
+
+.. code-block:: C++
+
+    template <typename T>
+    void axpby_impl(
+            const array& x,
+            const array& y,
+            array& out,
+            float alpha_,
+            float beta_) {
+        // We only allocate memory when we are ready to fill the output
+        // malloc_or_wait synchronously allocates available memory
+        // There may be a wait executed here if the allocation is requested
+        // under memory-pressured conditions
+        out.set_data(allocator::malloc_or_wait(out.nbytes()));
+
+        // Collect input and output data pointers
+        const T* x_ptr = x.data<T>();
+        const T* y_ptr = y.data<T>();
+        T* out_ptr = out.data<T>();
+
+        // Cast alpha and beta to the relevant types
+        T alpha = static_cast<T>(alpha_);
+        T beta = static_cast<T>(beta_);
+
+        // Do the elementwise operation for each output
+        for (size_t out_idx = 0; out_idx < out.size(); out_idx++) {
+            // Map linear indices to offsets in x and y
+            auto x_offset = elem_to_loc(out_idx, x.shape(), x.strides());
+            auto y_offset = elem_to_loc(out_idx, y.shape(), y.strides());
+
+            // We allocate the output to be contiguous and regularly strided
+            // (defaults to row major) and hence it doesn't need additonal mapping
+            out_ptr[out_idx] = alpha * x_ptr[x_offset] + beta * y_ptr[y_offset];
+        }
+    }
+
+Now, we would like our implementation to be able to do this pointwise operation 
+for all incoming floating point arrays. Accordingly, we add dispatches for 
+``float32``, ``float16``, ``bfloat16`` and ``complex64``. We throw an error 
+if we encounter an unexpected type.
+
+.. code-block:: C++
+
+    /** Fall back implementation for evaluation on CPU */
+    void Axpby::eval(const std::vector<array>& inputs, array& out) {
+        // Check the inputs (registered in the op while contructing the out array)
+        assert(inputs.size() == 2);
+        auto& x = inputs[0];
+        auto& y = inputs[1];
+
+        // Dispatch to the correct dtype
+        if (out.dtype() == float32) {
+            return axpby_impl<float>(x, y, out, alpha_, beta_);
+        } else if (out.dtype() == float16) {
+            return axpby_impl<float16_t>(x, y, out, alpha_, beta_);
+        } else if (out.dtype() == bfloat16) {
+            return axpby_impl<bfloat16_t>(x, y, out, alpha_, beta_);
+        } else if (out.dtype() == complex64) {
+            return axpby_impl<complex64_t>(x, y, out, alpha_, beta_);
+        } else {
+            throw std::runtime_error(
+                "Axpby is only supported for floating point types.");
+        }
+    }
+
+We have a fallback implementation! Now, to do what we are really here to do. 
+Remember we wanted to use the ``axpby`` routine provided by the Accelerate_
+framework? Well, there are 3 complications to keep in mind:
+
+#.  Accelerate does not provide implementations of ``axpby`` for half precision
+    floats. We can only direct to it for ``float32`` types 
+#.  Accelerate assumes the inputs ``x`` and ``y`` are contiguous and all elements
+    have fixed strides between them. Possibly due to broadcasts and transposes, 
+    we aren't guaranteed that the inputs fit this requirement. We can 
+    only direct to Accelerate if both ``x`` and ``y`` are row contiguous or 
+    column contiguous. 
+#.  Accelerate performs the routine ``Y = (alpha * X) + (beta * Y)`` inplace. 
+    MLX expects to write out the answer to a new array. We must copy the elements 
+    of ``y`` into the output array and use that as an input to ``axpby``
+
+Let's write out an implementation that uses Accelerate in the right conditions. 
+It must simply allocate data for the output, copy elements of ``y`` into it, 
+and then call the :meth:`catlas_saxpby` from accelerate. 
+
+.. code-block:: C++
+
+    template <typename T>
+    void axpby_impl_accelerate(
+            const array& x,
+            const array& y,
+            array& out,
+            float alpha_,
+            float beta_) {
+        // Accelerate library provides catlas_saxpby which does
+        // Y = (alpha * X) + (beta * Y) in place
+        // To use it, we first copy the data in y over to the output array
+
+        // This specialization requires both x and y be contiguous in the same mode
+        // i.e: corresponding linear indices in both point to corresponding elements
+        // The data in the output array is allocated to match the strides in y
+        // such that x, y, and out are contiguous in the same mode and
+        // no transposition is needed
+        out.set_data(
+            allocator::malloc_or_wait(y.data_size() * out.itemsize()),
+            y.data_size(),
+            y.strides(),
+            y.flags());
+
+        // We then copy over the elements using the contiguous vector specialization
+        copy_inplace(y, out, CopyType::Vector);
+
+        // Get x and y pointers for catlas_saxpby
+        const T* x_ptr = x.data<T>();
+        T* y_ptr = out.data<T>();
+
+        T alpha = static_cast<T>(alpha_);
+        T beta = static_cast<T>(beta_);
+
+        // Call the inplace accelerate operator
+        catlas_saxpby(
+            /* N = */ out.size(),
+            /* ALPHA = */ alpha,
+            /* X = */ x_ptr,
+            /* INCX = */ 1,
+            /* BETA = */ beta,
+            /* Y = */ y_ptr,
+            /* INCY = */ 1);
+    }
+
+Great! But what about the inputs that do not fit the criteria for accelerate?
+Luckily, we can always just direct back to :meth:`Axpby::eval`.
+
+With this in mind, lets finally implement our :meth:`Axpby::eval_cpu`.
+
+.. code-block:: C++
+
+    /** Evaluate primitive on CPU using accelerate specializations */
+    void Axpby::eval_cpu(const std::vector<array>& inputs, array& out) {
+        assert(inputs.size() == 2);
+        auto& x = inputs[0];
+        auto& y = inputs[1];
+
+        // Accelerate specialization for contiguous single precision float arrays
+        if (out.dtype() == float32 &&
+            ((x.flags().row_contiguous && y.flags().row_contiguous) ||
+            (x.flags().col_contiguous && y.flags().col_contiguous))) {
+            axpby_impl_accelerate<float>(x, y, out, alpha_, beta_);
+            return;
+        }
+
+        // Fall back to common backend if specializations are not available
+        eval(inputs, out);
+    }
+
+We have now hit a milestone! Just this much is enough to run the operation 
+:meth:`axpby` on a CPU stream! 
+
+If you do not plan on running the operation on the GPU or using transforms on 
+computation graphs that contain :class:`Axpby`, you can stop implementing the 
+primitive here and enjoy the speed-ups you get from the Accelerate library. 
+
+Implementing the GPU Backend
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+Apple silicon devices address their GPUs using the Metal_ shading language, and 
+all GPU kernels in MLX are written using metal. 
+
+.. note::
+
+    Here are some helpful resources if you are new to metal!
+
+    * A walkthrough of the metal compute pipeline: `Metal Example`_
+    * Documentation for metal shading language: `Metal Specification`_
+    * Using metal from C++: `Metal-cpp`_
+
+Let's keep the GPU algorithm simple. We will launch exactly as many threads 
+as there are elements in the output. Each thread will pick the element it needs 
+from ``x`` and ``y``, do the pointwise operation, and then update its assigned 
+element in the output. 
+
+.. code-block:: C++
+
+    template <typename T>
+    [[kernel]] void axpby_general(
+            device const T* x [[buffer(0)]],
+            device const T* y [[buffer(1)]],
+            device T* out [[buffer(2)]],
+            constant const float& alpha [[buffer(3)]],
+            constant const float& beta [[buffer(4)]],
+            constant const int* shape [[buffer(5)]],
+            constant const size_t* x_strides [[buffer(6)]],
+            constant const size_t* y_strides [[buffer(7)]],
+            constant const int& ndim [[buffer(8)]],
+            uint index [[thread_position_in_grid]]) {
+        // Convert linear indices to offsets in array
+        auto x_offset = elem_to_loc(index, shape, x_strides, ndim);
+        auto y_offset = elem_to_loc(index, shape, y_strides, ndim);
+        
+        // Do the operation and update the output
+        out[index] = 
+            static_cast<T>(alpha) * x[x_offset] + static_cast<T>(beta) * y[y_offset];
+    }
+
+We then need to instantiate this template for all floating point types and give
+each instantiation a unique host name so we can identify the right kernel for 
+each data type. 
+
+.. code-block:: C++
+
+    #define instantiate_axpby(type_name, type)              \
+        template [[host_name("axpby_general_" #type_name)]] \
+        [[kernel]] void axpby_general<type>(                \
+            device const type* x [[buffer(0)]],             \
+            device const type* y [[buffer(1)]],             \
+            device type* out [[buffer(2)]],                 \
+            constant const float& alpha [[buffer(3)]],      \
+            constant const float& beta [[buffer(4)]],       \
+            constant const int* shape [[buffer(5)]],        \
+            constant const size_t* x_strides [[buffer(6)]], \
+            constant const size_t* y_strides [[buffer(7)]], \
+            constant const int& ndim [[buffer(8)]],         \
+            uint index [[thread_position_in_grid]]);
+
+    instantiate_axpby(float32, float);
+    instantiate_axpby(float16, half);
+    instantiate_axpby(bflot16, bfloat16_t);
+    instantiate_axpby(complex64, complex64_t);
+
+This kernel will be compiled into a metal library ``mlx_ext.metallib`` as we 
+will see later in :ref:`Building with CMake`. In the following example, we 
+assume that the library ``mlx_ext.metallib`` will always be co-located with 
+the executable/ shared-library calling the :meth:`register_library` function. 
+The :meth:`register_library` function takes the library's name and potential 
+path (or in this case, a function that can produce the path of the metal 
+library) and tries to load that library if it hasn't already been registered 
+by the relevant static :class:`mlx::core::metal::Device` object. This is why, 
+it is important to package your C++ library with the metal library. We will 
+go over this process in more detail later. 
+
+The logic to determine the kernel, set the inputs, resolve the grid dimensions 
+and dispatch it to the GPU are contained in :meth:`Axpby::eval_gpu` as shown 
+below.
+
+.. code-block:: C++
+
+    /** Evaluate primitive on GPU */
+    void Axpby::eval_gpu(const std::vector<array>& inputs, array& out) {
+        // Prepare inputs
+        assert(inputs.size() == 2);
+        auto& x = inputs[0];
+        auto& y = inputs[1];
+
+        // Each primitive carries the stream it should execute on
+        // and each stream carries its device identifiers
+        auto& s = stream();
+        // We get the needed metal device using the stream
+        auto& d = metal::device(s.device);
+
+        // Allocate output memory 
+        out.set_data(allocator::malloc_or_wait(out.nbytes()));
+
+        // Resolve name of kernel (corresponds to axpby.metal)
+        std::ostringstream kname;
+        kname << "axpby_" << "general_" << type_to_name(out);
+
+        // Make sure the metal library is available and look for it
+        // in the same folder as this executable if needed
+        d.register_library("mlx_ext", metal::get_colocated_mtllib_path);
+
+        // Make a kernel from this metal library
+        auto kernel = d.get_kernel(kname.str(), "mlx_ext");
+
+        // Prepare to encode kernel
+        auto compute_encoder = d.get_command_encoder(s.index);
+        compute_encoder->setComputePipelineState(kernel);
+
+        // Kernel parameters are registered with buffer indices corresponding to
+        // those in the kernel decelaration at axpby.metal
+        int ndim = out.ndim();
+        size_t nelem = out.size();
+
+        // Encode input arrays to kernel
+        set_array_buffer(compute_encoder, x, 0);
+        set_array_buffer(compute_encoder, y, 1);
+
+        // Encode output arrays to kernel
+        set_array_buffer(compute_encoder, out, 2);
+
+        // Encode alpha and beta
+        compute_encoder->setBytes(&alpha_, sizeof(float), 3);
+        compute_encoder->setBytes(&beta_, sizeof(float), 4);
+
+        // Encode shape, strides and ndim 
+        compute_encoder->setBytes(x.shape().data(), ndim * sizeof(int), 5);
+        compute_encoder->setBytes(x.strides().data(), ndim * sizeof(size_t), 6);
+        compute_encoder->setBytes(y.strides().data(), ndim * sizeof(size_t), 7);
+        compute_encoder->setBytes(&ndim, sizeof(int), 8);
+
+        // We launch 1 thread for each input and make sure that the number of
+        // threads in any given threadgroup is not higher than the max allowed
+        size_t tgp_size = std::min(nelem, kernel->maxTotalThreadsPerThreadgroup());
+
+        // Fix the 3D size of each threadgroup (in terms of threads)
+        MTL::Size group_dims = MTL::Size(tgp_size, 1, 1);
+
+        // Fix the 3D size of the launch grid (in terms of threads)
+        MTL::Size grid_dims = MTL::Size(nelem, 1, 1);
+
+        // Launch the grid with the given number of threads divded among
+        // the given threadgroups
+        compute_encoder->dispatchThreads(grid_dims, group_dims);
+    }
+
+We can now call the :meth:`axpby` operation on both the CPU and the GPU!
+
+A few things to note about MLX and metal before moving on. MLX keeps track 
+of the active ``compute_encoder``. We rely on :meth:`d.get_command_encoder` 
+to give us the active metal compute command encoder instead of building a 
+new one and calling :meth:`compute_encoder->end_encoding` at the end. 
+MLX keeps adding kernels (compute pipelines) to the active command encoder 
+until some specified limit is hit or the compute encoder needs to be flushed 
+for synchronization. MLX also handles enqueuing and commiting the associated 
+command buffers as needed. We suggest taking a deeper dive into 
+:class:`metal::Device` if you would like to study this routine further.
+
+Primitive Transforms
+^^^^^^^^^^^^^^^^^^^^^
+
+Now that we have come this far, let's also learn how to add implementations to 
+transformations in a :class:`Primitive`. These transformations can be built on 
+top of our operations, including the one we just defined now. Which then gives 
+us the following :meth:`Axpby::jvp` and :meth:`Axpby::vjp` implementations.
+
+.. code-block:: C++
+
+    /** The Jacobian-vector product. */
+    array Axpby::jvp(
+            const std::vector<array>& primals,
+            const std::vector<array>& tangents,
+            const std::vector<int>& argnums) {
+        // Forward mode diff that pushes along the tangents
+        // The jvp transform on the the primitive can built with ops
+        // that are scheduled on the same stream as the primtive
+
+        // If argnums = {0}, we only push along x in which case the
+        // jvp is just the tangent scaled by alpha
+        // Similarly, if argnums = {1}, the jvp is just the tangent
+        // scaled by beta
+        if (argnums.size() > 1) {
+            auto scale = argnums[0] == 0 ? alpha_ : beta_;
+            auto scale_arr = array(scale, tangents[0].dtype());
+            return multiply(scale_arr, tangents[0], stream());
+        }
+        // If, argnums = {0, 1}, we take contributions from both
+        // which gives us jvp = tangent_x * alpha + tangent_y * beta
+        else {
+            return axpby(tangents[0], tangents[1], alpha_, beta_, stream());
+        }
+    }
+
+.. code-block:: C++
+
+    /** The vector-Jacobian product. */
+    std::vector<array> Axpby::vjp(
+            const std::vector<array>& primals,
+            const array& cotan,
+            const std::vector<int>& argnums) {
+        // Reverse mode diff
+        std::vector<array> vjps;
+        for (auto arg : argnums) {
+            auto scale = arg == 0 ? alpha_ : beta_;
+            auto scale_arr = array(scale, cotan.dtype());
+            vjps.push_back(multiply(scale_arr, cotan, stream()));
+        }
+        return vjps;
+    }
+
+Finally, you need not have a transformation fully defined to start using your 
+own :class:`Primitive`.
+
+.. code-block:: C++
+
+    /** Vectorize primitve along given axis */
+    std::pair<array, int> Axpby::vmap(
+            const std::vector<array>& inputs,
+            const std::vector<int>& axes) {
+        throw std::runtime_error("Axpby has no vmap implementation.");
+    }
+
+Building and Binding
+--------------------
+
+Let's look at the overall directory structure first. 
+
+| extensions
+| ├── axpby
+| │   ├── axpby.cpp
+| │   ├── axpby.h
+| │   └── axpby.metal
+| ├── mlx_sample_extensions
+| │   └── __init__.py
+| ├── bindings.cpp
+| ├── CMakeLists.txt
+| └── setup.py
+
+* ``extensions/axpby/`` defines the C++ extension library
+* ``extensions/mlx_sample_extensions`` sets out the strucutre for the 
+  associated python package
+* ``extensions/bindings.cpp`` provides python bindings for our operation
+* ``extensions/CMakeLists.txt`` holds CMake rules to build the library and 
+  python bindings
+* ``extensions/setup.py`` holds the ``setuptools`` rules to build and install
+  the python package
+
+Binding to Python
+^^^^^^^^^^^^^^^^^^
+
+We use PyBind11_ to build a Python API for the C++ library. Since bindings 
+for all needed components such as `mlx.core.array`, `mlx.core.stream`, etc. 
+are already provided, adding our :meth:`axpby` becomes very simple!
+
+.. code-block:: C++
+
+    PYBIND11_MODULE(mlx_sample_extensions, m) {
+        m.doc() = "Sample C++ and metal extensions for MLX";
+
+        m.def(
+            "axpby",
+            &axpby,
+            "x"_a,
+            "y"_a,
+            py::pos_only(),
+            "alpha"_a,
+            "beta"_a,
+            py::kw_only(),
+            "stream"_a = py::none(),
+            R"pbdoc(
+                Scale and sum two vectors elementwise
+                ``z = alpha * x + beta * y``
+                
+                Follows numpy style broadcasting between ``x`` and ``y``
+                Inputs are upcasted to floats if needed
+
+                Args:
+                    x (array): Input array.
+                    y (array): Input array.
+                    alpha (float): Scaling factor for ``x``.
+                    beta (float): Scaling factor for ``y``.
+
+                Returns:
+                    array: ``alpha * x + beta * y``
+            )pbdoc");
+    }
+
+Most of the complexity in the above example comes from additional bells and 
+whistles such as the literal names and doc-strings.
+
+.. warning::
+
+    :mod:`mlx.core` needs to be imported before importing 
+    :mod:`mlx_sample_extensions` as defined by the pybind11 module above to 
+    ensure that the casters for :mod:`mlx.core` components like 
+    :class:`mlx.core.array` are available.
+
+.. _Building with CMake:
+
+Building with CMake
+^^^^^^^^^^^^^^^^^^^^
+
+Building the C++ extension library itself is simple, it only requires that you 
+``find_package(MLX CONFIG)`` and then link it to your library. 
+
+.. code-block:: cmake
+
+    # Add library
+    add_library(mlx_ext)
+
+    # Add sources
+    target_sources(
+        mlx_ext
+        PUBLIC
+        ${CMAKE_CURRENT_LIST_DIR}/axpby/axpby.cpp
+    )
+
+    # Add include headers
+    target_include_directories(
+        mlx_ext PUBLIC ${CMAKE_CURRENT_LIST_DIR}
+    )
+
+    # Link to mlx
+    target_link_libraries(mlx_ext PUBLIC mlx)
+
+We also need to build the attached metal library. For convenience, we provide a 
+:meth:`mlx_build_metallib` function that builds a ``.metallib`` target given 
+sources, headers, destinations, etc. (defined in ``cmake/extension.cmake`` and 
+automatically imported with MLX package). 
+
+Here is what that looks like in practice!
+
+.. code-block:: cmake
+
+    # Build metallib
+    if(MLX_BUILD_METAL)
+
+    mlx_build_metallib(
+        TARGET mlx_ext_metallib
+        TITLE mlx_ext
+        SOURCES ${CMAKE_CURRENT_LIST_DIR}/axpby/axpby.metal
+        INCLUDE_DIRS ${PROJECT_SOURCE_DIR} ${MLX_INCLUDE_DIRS}
+        OUTPUT_DIRECTORY ${CMAKE_LIBRARY_OUTPUT_DIRECTORY}
+    )
+
+    add_dependencies(
+        mlx_ext
+        mlx_ext_metallib
+    )
+
+    endif()
+
+Finally, we build the Pybind11_ bindings
+
+.. code-block:: cmake
+
+    pybind11_add_module(
+        mlx_sample_extensions
+        ${CMAKE_CURRENT_LIST_DIR}/bindings.cpp
+    )
+    target_link_libraries(mlx_sample_extensions PRIVATE mlx_ext)
+
+    if(BUILD_SHARED_LIBS)
+        target_link_options(mlx_sample_extensions PRIVATE -Wl,-rpath,@loader_path)
+    endif()
+
+Building with ``setuptools``
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+Once we have set out the CMake build rules as described above, we can use the
+build utilities defined in :mod:`mlx.extension` for a simple build process. 
+
+.. code-block:: python 
+
+    from mlx import extension
+    from setuptools import setup
+
+    if __name__ == "__main__":
+        setup(
+            name="mlx_sample_extensions",
+            version="0.0.0",
+            description="Sample C++ and Metal extensions for MLX primitives.",
+            ext_modules=[extension.CMakeExtension("mlx_sample_extensions")],
+            cmdclass={"build_ext": extension.CMakeBuild},
+            packages = ["mlx_sample_extensions"],
+            package_dir = {"": "mlx_sample_extensions"},
+            package_data = {"mlx_sample_extensions" : ["*.so", "*.dylib", "*.metallib"]},
+            zip_safe=False,
+            python_requires=">=3.7",
+        )
+
+.. note::
+    We treat ``extensions/mlx_sample_extensions`` as the package directory
+    even though it only contains a ``__init__.py`` to ensure the following:
+    
+    * :mod:`mlx.core` is always imported before importing  :mod:`mlx_sample_extensions`
+    * The C++ extension library and the metal library are co-located with the python 
+      bindings and copied together if the package is installed 
+
+You can build inplace for development using
+``python setup.py build_ext -j8 --inplace`` (in ``extensions/``)
+
+This will result in a directory structure as follows:
+
+| extensions
+| ├── mlx_sample_extensions
+| │   ├── __init__.py
+| │   ├── libmlx_ext.dylib # C++ extension library
+| │   ├── mlx_ext.metallib # Metal library
+| │   └── mlx_sample_extensions.cpython-3x-darwin.so # Python Binding
+| ...
+
+When you try to install using the command ``python -m pip install .`` 
+(in ``extensions/``), the package will be installed with the same strucutre as 
+``extensions/mlx_sample_extensions`` and the C++ and metal library will be 
+copied along with the python binding since they are specified as ``package_data``.
+
+Usage
+-----
+
+After installing the extension as described above, you should be able to simply 
+import the python package and play with it as you would any other MLX operation!
+
+Let's looks at a simple script and it's results!
+
+.. code-block:: python
+
+    import mlx.core as mx
+    from mlx_sample_extensions import axpby
+
+    a = mx.ones((3, 4))
+    b = mx.ones((3, 4))
+    c = axpby(a, b, 4.0, 2.0, stream=mx.cpu)
+
+    print(f"c shape: {c.shape}")
+    print(f"c dtype: {c.dtype}")
+    print(f"c correctness: {mx.all(c == 6.0).item()}")
+
+Output:
+
+.. code-block::
+
+    c shape: [3, 4]
+    c dtype: float32
+    c correctness: True
+
+Results
+^^^^^^^^^^^^^^^^
+
+Let's run a quick benchmark and see how our new ``axpby`` operation compares 
+with the naive :meth:`simple_axpby` we defined at first on the CPU. 
+
+.. code-block:: python 
+
+    import mlx.core as mx
+    from mlx_sample_extensions import axpby
+    import time
+
+    mx.set_default_device(mx.cpu)
+
+    def simple_axpby(x: mx.array, y: mx.array, alpha: float, beta: float) -> mx.array:
+        return alpha * x + beta * y
+
+    M = 256
+    N = 512
+
+    x = mx.random.normal((M, N))
+    y = mx.random.normal((M, N))
+    alpha = 4.0
+    beta = 2.0
+
+    mx.eval((x, y))
+
+    def bench(f):
+        # Warm up
+        for i in range(100):
+            z = f(x, y, alpha, beta)
+            mx.eval(z)
+
+        # Timed run
+        s = time.time()
+        for i in range(5000):
+            z = f(x, y, alpha, beta)
+            mx.eval(z)
+        e = time.time()
+        return e - s
+
+    simple_time = bench(simple_axpby)
+    custom_time = bench(axpby)
+
+    print(f"Simple axpby: {simple_time:.3f} s | Custom axpby: {custom_time:.3f} s")
+
+Results:
+
+.. code-block::
+
+    Simple axpby: 0.114 s | Custom axpby: 0.109 s
+
+We see some modest improvements right away! 
+
+This operation is now good to be used to build other operations, 
+in :class:`mlx.nn.Module` calls, and also as a part of graph 
+transformations such as :meth:`grad` and :meth:`simplify`!
+
+Scripts
+-------
+
+.. admonition:: Download the code
+
+   The full example code is available in `mlx-examples <code>`_.
+
+.. code: `TODO_LINK/extensions`_
+
+.. _Accelerate: https://developer.apple.com/documentation/accelerate/blas?language=objc
+.. _Metal: https://developer.apple.com/documentation/metal?language=objc
+.. _Metal-cpp: https://developer.apple.com/metal/cpp/
+.. _`Metal Specification`: https://developer.apple.com/metal/Metal-Shading-Language-Specification.pdf
+.. _`Metal Example`: https://developer.apple.com/documentation/metal/performing_calculations_on_a_gpu?language=objc
+.. _PyBind11: https://pybind11.readthedocs.io/en/stable/
\ No newline at end of file
diff --git a/docs/build/html/_sources/examples/linear_regression.rst.txt b/docs/build/html/_sources/examples/linear_regression.rst.txt
new file mode 100644
index 000000000..19fc0d435
--- /dev/null
+++ b/docs/build/html/_sources/examples/linear_regression.rst.txt
@@ -0,0 +1,77 @@
+.. _linear_regression:
+
+Linear Regression
+-----------------
+
+Let's implement a basic linear regression model as a starting point to
+learn MLX. First import the core package and setup some problem metadata:
+
+.. code-block:: python
+
+  import mlx.core as mx
+
+  num_features = 100
+  num_examples = 1_000
+  num_iters = 10_000  # iterations of SGD
+  lr = 0.01  # learning rate for SGD
+
+
+We'll generate a synthetic dataset by:
+
+1. Sampling the design matrix ``X``.
+2. Sampling a ground truth parameter vector ``w_star``.
+3. Compute the dependent values ``y`` by adding Gaussian noise to ``X @ w_star``.
+
+.. code-block:: python
+
+  # True parameters
+  w_star = mx.random.normal((num_features,))
+
+  # Input examples (design matrix)
+  X = mx.random.normal((num_examples, num_features))
+
+  # Noisy labels
+  eps = 1e-2 * mx.random.normal((num_examples,))
+  y = X @ w_star + eps
+
+
+We will use SGD to find the optimal weights. To start, define the squared loss
+and get the gradient function of the loss with respect to the parameters.
+
+.. code-block:: python
+
+  def loss_fn(w):
+      return 0.5 * mx.mean(mx.square(X @ w - y))
+
+  grad_fn = mx.grad(loss_fn)
+
+Start the optimization by initializing the parameters ``w`` randomly. Then
+repeatedly update the parameters for ``num_iters`` iterations. 
+
+.. code-block:: python
+
+  w = 1e-2 * mx.random.normal((num_features,))
+
+  for _ in range(num_iters):
+      grad = grad_fn(w)
+      w = w - lr * grad
+      mx.eval(w)
+
+Finally, compute the loss of the learned parameters and verify that they are
+close to the ground truth parameters.
+
+.. code-block:: python
+
+  loss = loss_fn(w)
+  error_norm = mx.sum(mx.square(w - w_star)).item() ** 0.5
+
+  print(
+      f"Loss {loss.item():.5f}, |w-w*| = {error_norm:.5f}, "
+  )
+  # Should print something close to: Loss 0.00005, |w-w*| = 0.00364
+
+Complete `linear regression
+<https://github.com/ml-explore/mlx/tree/main/examples/python/linear_regression.py>`_
+and `logistic regression
+<https://github.com/ml-explore/mlx/tree/main/examples/python/logistic_regression.py>`_
+examples are available in the MLX GitHub repo.
diff --git a/docs/build/html/_sources/examples/llama-inference.rst.txt b/docs/build/html/_sources/examples/llama-inference.rst.txt
new file mode 100644
index 000000000..c1a6a7e84
--- /dev/null
+++ b/docs/build/html/_sources/examples/llama-inference.rst.txt
@@ -0,0 +1,382 @@
+LLM inference
+==============
+
+MLX enables efficient inference of large-ish transformers on Apple silicon
+without compromising on ease of use. In this example we will create an
+inference script for the Llama family of transformer models in which the model
+is defined in less than 200 lines of python.
+
+Implementing the model
+----------------------
+
+We will use the neural network building blocks defined in the :mod:`mlx.nn`
+module to concisely define the model architecture. 
+
+Attention layer
+^^^^^^^^^^^^^^^^
+
+We will start with the llama attention layer which notably uses the RoPE
+positional encoding. [1]_ In addition, our attention layer will optionally use a
+key/value cache that will be concatenated with the provided keys and values to
+support efficient inference.
+
+Our implementation uses :class:`mlx.nn.Linear` for all the projections and
+:class:`mlx.nn.RoPE` for the positional encoding.
+
+.. code-block:: python
+
+    import mlx.core as mx
+    import mlx.nn as nn
+
+    class LlamaAttention(nn.Module):
+        def __init__(self, dims: int, num_heads: int):
+            super().__init__()
+
+            self.num_heads = num_heads
+
+            self.rope = nn.RoPE(dims // num_heads, traditional=True)
+            self.query_proj = nn.Linear(dims, dims, bias=False)
+            self.key_proj = nn.Linear(dims, dims, bias=False)
+            self.value_proj = nn.Linear(dims, dims, bias=False)
+            self.out_proj = nn.Linear(dims, dims, bias=False)
+
+        def __call__(self, queries, keys, values, mask=None, cache=None):
+            queries = self.query_proj(queries)
+            keys = self.key_proj(keys)
+            values = self.value_proj(values)
+
+            # Extract some shapes
+            num_heads = self.num_heads
+            B, L, D = queries.shape
+
+            # Prepare the queries, keys and values for the attention computation
+            queries = queries.reshape(B, L, num_heads, -1).transpose(0, 2, 1, 3)
+            keys = keys.reshape(B, L, num_heads, -1).transpose(0, 2, 1, 3)
+            values = values.reshape(B, L, num_heads, -1).transpose(0, 2, 1, 3)
+
+            # Add RoPE to the queries and keys and combine them with the cache
+            if cache is not None:
+                key_cache, value_cache = cache
+                queries = self.rope(queries, offset=key_cache.shape[2])
+                keys = self.rope(keys, offset=key_cache.shape[2])
+                keys = mx.concatenate([key_cache, keys], axis=2)
+                values = mx.concatenate([value_cache, values], axis=2)
+            else:
+                queries = self.rope(queries)
+                keys = self.rope(keys)
+
+            # Finally perform the attention computation
+            scale = math.sqrt(1 / queries.shape[-1])
+            scores = (queries * scale) @ keys.transpose(0, 1, 3, 2)
+            if mask is not None:
+                scores = scores + mask
+            scores = mx.softmax(scores, axis=-1)
+            values_hat = (scores @ values).transpose(0, 2, 1, 3).reshape(B, L, -1)
+
+            # Note that we return the keys and values to possibly be used as a cache
+            return self.out_proj(values_hat), (keys, values)
+
+Encoder layer
+^^^^^^^^^^^^^
+
+The other component of the Llama model is the encoder layer which uses RMS
+normalization [2]_ and SwiGLU. [3]_ For RMS normalization we will use
+:class:`mlx.nn.RMSNorm` that is already provided in :mod:`mlx.nn`.
+
+.. code-block:: python
+
+    class LlamaEncoderLayer(nn.Module):
+        def __init__(self, dims: int, mlp_dims: int, num_heads: int):
+            super().__init__()
+
+            self.attention = LlamaAttention(dims, num_heads)
+
+            self.norm1 = nn.RMSNorm(dims)
+            self.norm2 = nn.RMSNorm(dims)
+
+            self.linear1 = nn.Linear(dims, mlp_dims, bias=False)
+            self.linear2 = nn.Linear(dims, mlp_dims, bias=False)
+            self.linear3 = nn.Linear(mlp_dims, dims, bias=False)
+
+        def __call__(self, x, mask=None, cache=None):
+            y = self.norm1(x)
+            y, cache = self.attention(y, y, y, mask, cache)
+            x = x + y
+
+            y = self.norm2(x)
+            a = self.linear1(y)
+            b = self.linear2(y)
+            y = a * mx.sigmoid(a) * b
+            y = self.linear3(y)
+            x = x + y
+
+            return x, cache
+
+Full model
+^^^^^^^^^^
+
+To implement any Llama model we simply have to combine ``LlamaEncoderLayer``
+instances with an :class:`mlx.nn.Embedding` to embed the input tokens.
+
+.. code-block:: python
+
+    class Llama(nn.Module):
+        def __init__(
+            self, num_layers: int, vocab_size: int, dims: int, mlp_dims: int, num_heads: int
+        ):
+            super().__init__()
+
+            self.embedding = nn.Embedding(vocab_size, dims)
+            self.layers = [
+                LlamaEncoderLayer(dims, mlp_dims, num_heads) for _ in range(num_layers)
+            ]
+            self.norm = nn.RMSNorm(dims)
+            self.out_proj = nn.Linear(dims, vocab_size, bias=False)
+
+        def __call__(self, x):
+            mask = nn.MultiHeadAttention.create_additive_causal_mask(x.shape[1])
+            mask = mask.astype(self.embedding.weight.dtype)
+
+            x = self.embedding(x)
+            for l in self.layers:
+                x, _ = l(x, mask)
+            x = self.norm(x)
+            return self.out_proj(x)
+
+Note that in the implementation above we use a simple list to hold the encoder
+layers but using ``model.parameters()`` will still consider these layers.
+
+Generation
+^^^^^^^^^^^
+
+Our ``Llama`` module can be used for training but not inference as the
+``__call__`` method above processes one input, completely ignores the cache and
+performs no sampling whatsoever. In the rest of this subsection, we will
+implement the inference function as a python generator that processes the
+prompt and then autoregressively yields tokens one at a time.
+
+.. code-block:: python
+
+    class Llama(nn.Module):
+        ...
+
+        def generate(self, x, temp=1.0):
+            cache = []
+
+            # Make an additive causal mask. We will need that to process the prompt.
+            mask = nn.MultiHeadAttention.create_additive_causal_mask(x.shape[1])
+            mask = mask.astype(self.embedding.weight.dtype)
+
+            # First we process the prompt x the same way as in __call__ but
+            # save the caches in cache
+            x = self.embedding(x)
+            for l in self.layers:
+                x, c = l(x, mask=mask)
+                cache.append(c)  # <--- we store the per layer cache in a
+                                 #      simple python list
+            x = self.norm(x)
+            y = self.out_proj(x[:, -1])  # <--- we only care about the last logits
+                                         #      that generate the next token
+            y = mx.random.categorical(y * (1/temp))
+
+            # y now has size [1]
+            # Since MLX is lazily evaluated nothing is computed yet.
+            # Calling y.item() would force the computation to happen at
+            # this point but we can also choose not to do that and let the
+            # user choose when to start the computation.
+            yield y
+
+            # Now we parsed the prompt and generated the first token we
+            # need to feed it back into the model and loop to generate the
+            # rest.
+            while True:
+                # Unsqueezing the last dimension to add a sequence length
+                # dimension of 1
+                x = y[:, None]
+
+                x = self.embedding(x)
+                for i in range(len(cache)):
+                    # We are overwriting the arrays in the cache list. When
+                    # the computation will happen, MLX will be discarding the
+                    # old cache the moment it is not needed anymore.
+                    x, cache[i] = self.layers[i](x, mask=None, cache=cache[i])
+                x = self.norm(x)
+                y = self.out_proj(x[:, -1])
+                y = mx.random.categorical(y * (1/temp))
+
+                yield y
+
+Putting it all together
+^^^^^^^^^^^^^^^^^^^^^^^
+
+We now have everything we need to create a Llama model and sample tokens from
+it. In the following code, we randomly initialize a small Llama model, process
+6 tokens of prompt and generate 10 tokens.
+
+.. code-block:: python
+
+    model = Llama(num_layers=12, vocab_size=8192, dims=512, mlp_dims=1024, num_heads=8)
+
+    # Since MLX is lazily evaluated nothing has actually been materialized yet.
+    # We could have set the `dims` to 20_000 on a machine with 8GB of RAM and the
+    # code above would still run. Let's actually materialize the model.
+    mx.eval(model.parameters())
+
+    prompt = mx.array([[1, 10, 8, 32, 44, 7]])  # <-- Note the double brackets because we
+                                                #     have a batch dimension even
+                                                #     though it is 1 in this case
+
+    generated = [t for i, t in zip(range(10), model.generate(prompt, 0.8))]
+
+    # Since we haven't evaluated anything, nothing is computed yet. The list
+    # `generated` contains the arrays that hold the computation graph for the
+    # full processing of the prompt and the generation of 10 tokens.
+    #
+    # We can evaluate them one at a time, or all together. Concatenate them or
+    # print them. They would all result in very similar runtimes and give exactly
+    # the same results.
+    mx.eval(generated)
+
+Converting the weights
+----------------------
+
+This section assumes that you have access to the original Llama weights and the
+SentencePiece model that comes with them. We will write a small script to
+convert the PyTorch weights to MLX compatible ones and write them in a NPZ file
+that can be loaded directly by MLX.
+
+.. code-block:: python
+
+    import argparse
+    from itertools import starmap
+
+    import numpy as np
+    import torch
+
+    def map_torch_to_mlx(key, value):
+        if "tok_embedding" in key:
+            key = "embedding.weight"
+
+        elif "norm" in key:
+            key = key.replace("attention_norm", "norm1").replace("ffn_norm", "norm2")
+
+        elif "wq" in key or "wk" in key or "wv" in key or "wo" in key:
+            key = key.replace("wq", "query_proj")
+            key = key.replace("wk", "key_proj")
+            key = key.replace("wv", "value_proj")
+            key = key.replace("wo", "out_proj")
+
+        elif "w1" in key or "w2" in key or "w3" in key:
+            # The FFN is a separate submodule in PyTorch
+            key = key.replace("feed_forward.w1", "linear1")
+            key = key.replace("feed_forward.w3", "linear2")
+            key = key.replace("feed_forward.w2", "linear3")
+
+        elif "output" in key:
+            key = key.replace("output", "out_proj")
+
+        elif "rope" in key:
+            return None, None
+
+        return key, value.numpy()
+
+
+    if __name__ == "__main__":
+        parser = argparse.ArgumentParser(description="Convert Llama weights to MLX")
+        parser.add_argument("torch_weights")
+        parser.add_argument("output_file")
+        args = parser.parse_args()
+
+        state = torch.load(args.torch_weights)
+        np.savez(
+            args.output_file,
+            **{k: v for k, v in starmap(map_torch_to_mlx, state.items()) if k is not None}
+        )
+
+
+Weight loading and benchmarking
+-------------------------------
+
+After converting the weights to be compatible to our implementation, all that is
+left is to load them from disk and we can finally use the LLM to generate text.
+We can load numpy format files using the :func:`mlx.core.load` operation.
+
+To create a parameter dictionary from the key/value representation of NPZ files
+we will use the :func:`mlx.utils.tree_unflatten` helper method as follows:
+
+.. code-block:: python
+
+    from mlx.utils import tree_unflatten
+
+    model.update(tree_unflatten(list(mx.load(weight_file).items())))
+
+:meth:`mlx.utils.tree_unflatten` will take keys from the NPZ file that look
+like ``layers.2.attention.query_proj.weight`` and will transform them to
+
+.. code-block:: python
+
+   {"layers": [..., ..., {"attention": {"query_proj": {"weight": ...}}}]}
+
+which can then be used to update the model. Note that the method above incurs
+several unnecessary copies from disk to numpy and then from numpy to MLX. It
+will be replaced in the future with direct loading to MLX.
+
+You can download the full example code in `mlx-examples <code>`_. Assuming, the
+existence of ``weights.pth`` and ``tokenizer.model`` in the current working
+directory we can play around with our inference script as follows (the timings
+are representative of an M1 Ultra and the 7B parameter Llama model):
+
+.. code-block:: bash
+
+    $ python convert.py weights.pth llama-7B.mlx.npz
+    $ python llama.py llama-7B.mlx.npz tokenizer.model 'Call me Ishmael. Some years ago never mind how long precisely'
+    [INFO] Loading model from disk: 5.247 s
+    Press enter to start generation
+    ------
+    , having little or no money in my purse, and nothing of greater consequence in my mind, I happened to be walking down Gower Street in the afternoon, in the heavy rain, and I saw a few steps off, a man in rags, who sat upon his bundle and looked hard into the wet as if he were going to cry. I watched him attentively for some time, and could not but observe that, though a numerous crowd was hurrying up and down,
+    ------
+    [INFO] Prompt processing: 0.437 s
+    [INFO] Full generation: 4.330 s
+
+We observe that 4.3 seconds are required to generate 100 tokens and 0.4 seconds
+of those are spent processing the prompt. This amounts to a little over **39 ms
+per token**.
+
+By running with a much bigger prompt we can see that the per token generation
+time as well as the prompt processing time remains almost constant.
+
+.. code-block:: bash
+
+    $ python llama.py llama-7B.mlx.npz tokenizer.model 'Call me Ishmael. Some years ago never mind how long precisely, having little or no money in my purse, and nothing of greater consequence in my mind, I happened to be walking down Gower Street in the afternoon, in the heavy rain, and I saw a few steps off, a man in rags, who sat upon his bundle and looked hard into the wet as if he were going to cry. I watched him attentively for some time, and could not but observe that, though a numerous crowd was hurrying up and down, nobody took the least notice of him. I stopped at last, at a little distance, as if I had been in doubt, and after looking on a few minutes, walked straight up to him. He slowly raised his eyes, and fixed them upon me for a moment, without speaking, and then resumed his place and posture as before. I stood looking at him for a while, feeling very much pain at heart, and then said to him, “What are you doing there?” Something like a smile passed over his face, as he said slowly, “I am waiting for someone; but it has been three quarters of an hour now, and he has not come.” “What is it you are waiting for?” said I. Still he made no immediate reply, but again put his face down upon his hands, and did not'
+    [INFO] Loading model from disk: 5.247 s
+    Press enter to start generation
+    ------
+    take his eyes from the ground. “What is it you are waiting for?” said I. “I am not accustomed to be thus questioned,” said he. “You look like a reasonable man—tell me, then, what are you waiting for?” “You would not understand,” he replied; “and how could you help me, if I were to tell you?” “I should not only understand, but would do all that I could,” said I. He did not
+    ------
+    [INFO] Prompt processing: 0.579 s
+    [INFO] Full generation: 4.690 s
+    $ python llama.py --num-tokens 500 llama-7B.mlx.npz tokenizer.model 'Call me Ishmael. Some years ago never mind how long precisely, having little or no money in my purse, and nothing of greater consequence in my mind, I happened to be walking down Gower Street in the afternoon, in the heavy rain, and I saw a few steps off, a man in rags, who sat upon his bundle and looked hard into the wet as if he were going to cry. I watched him attentively for some time, and could not but observe that, though a numerous crowd was hurrying up and down, nobody took the least notice of him. I stopped at last, at a little distance, as if I had been in doubt, and after looking on a few minutes, walked straight up to him. He slowly raised his eyes, and fixed them upon me for a moment, without speaking, and then resumed his place and posture as before. I stood looking at him for a while, feeling very much pain at heart, and then said to him, “What are you doing there?” Something like a smile passed over his face, as he said slowly, “I am waiting for someone; but it has been three quarters of an hour now, and he has not come.” “What is it you are waiting for?” said I. Still he made no immediate reply, but again put his face down upon his hands, and did not'
+    [INFO] Loading model from disk: 5.628 s
+    Press enter to start generation
+    ------
+    take his eyes from the ground. “What is it you are waiting for?” said I. “I am not accustomed to be thus questioned,” said he. “You look like a reasonable man—tell me, then, what are you waiting for?” “You would not understand,” he replied; “and how could you help me, if I were to tell you?” “I should not only understand, but would do all that I could,” said I. He did not reply, but still went on looking at the ground, and took hold of his bundle with a nervous trembling. I waited some time, and then resumed. “It is of no use to say you would not understand, if I were to tell you,” said he. “I have not told you why I am waiting for him,” said I. “And I am sure I should not understand,” replied he. “I will tell you then,” said I, “and, perhaps, you would not be surprised.” “No matter,” said he, “I shall be surprised anyhow; so tell me why you are waiting for him.” “He is my friend,” said I. “Yes,” said he, with a slight smile, “I know.” “He has been kind to me,” said I, “and I am waiting for him. I want to see him, and could have waited as I am now, for a much longer time.” “He will not soon come,” said he. “Unless he sees you here, he will not know of your having waited, and he will be very unlikely to come.” “No matter,” said I, “I shall wait for him.” “This is a strange thing,” said he, still with the same amused smile. “How did you know,” said I, “that he was coming? How should you be waiting?” “That is my secret,” said he. “And you expect him?” “Yes,” said I. “Are you disappointed then, if he does not come?” “No,” said I, “it is his secret, not mine.” “If he comes,” said he, “do you mean to go straight away?” “Yes,” said I, “I cannot be happy if I do not go straight away after him.” “Did you know this place before?” asked he. “Yes,” said I. “Is there any shop to buy food here?” “
+    ------
+    [INFO] Prompt processing: 0.633 s
+    [INFO] Full generation: 21.475 s
+
+Scripts
+-------
+
+.. admonition:: Download the code
+
+   The full example code is available in `mlx-examples <code>`_.
+
+.. code: `https://github.com/ml-explore/mlx-examples/tree/main/llama`_
+
+.. [1] Su, J., Lu, Y., Pan, S., Murtadha, A., Wen, B. and Liu, Y., 2021.
+   Roformer: Enhanced transformer with rotary position embedding. arXiv
+   preprint arXiv:2104.09864.
+.. [2] Zhang, B. and Sennrich, R., 2019. Root mean square layer normalization.
+   Advances in Neural Information Processing Systems, 32.
+.. [3] Shazeer, N., 2020. Glu variants improve transformer. arXiv preprint
+   arXiv:2002.05202.
diff --git a/docs/build/html/_sources/examples/mlp.rst.txt b/docs/build/html/_sources/examples/mlp.rst.txt
new file mode 100644
index 000000000..5763eeba0
--- /dev/null
+++ b/docs/build/html/_sources/examples/mlp.rst.txt
@@ -0,0 +1,131 @@
+.. _mlp:
+
+Multi-Layer Perceptron
+----------------------
+
+In this example we'll learn to use ``mlx.nn`` by implementing a simple
+multi-layer perceptron to classify MNIST.
+
+As a first step import the MLX packages we need:
+
+.. code-block:: python
+
+  import mlx.core as mx
+  import mlx.nn as nn
+  import mlx.optimizers as optim
+
+  import numpy as np
+
+
+The model is defined as the ``MLP`` class which inherits from
+:class:`mlx.nn.Module`. We follow the standard idiom to make a new module:
+
+1. Define an ``__init__`` where the parameters and/or submodules are setup. See
+   the :ref:`Module class docs<module_class>` for more information on how
+   :class:`mlx.nn.Module` registers parameters.
+2. Define a ``__call__`` where the computation is implemented.
+
+.. code-block:: python
+
+  class MLP(nn.Module):
+      def __init__(
+          self, num_layers: int, input_dim: int, hidden_dim: int, output_dim: int
+      ):
+          super().__init__()
+          layer_sizes = [input_dim] + [hidden_dim] * num_layers + [output_dim]
+          self.layers = [
+              nn.Linear(idim, odim)
+              for idim, odim in zip(layer_sizes[:-1], layer_sizes[1:])
+          ]
+
+      def __call__(self, x):
+          for l in self.layers[:-1]:
+              x = mx.maximum(l(x), 0.0)
+          return self.layers[-1](x)
+
+
+We define the loss function which takes the mean of the per-example cross
+entropy loss.  The ``mlx.nn.losses`` sub-package has implementations of some
+commonly used loss functions.
+
+.. code-block:: python
+
+  def loss_fn(model, X, y):
+      return mx.mean(nn.losses.cross_entropy(model(X), y))
+
+We also need a function to compute the accuracy of the model on the validation
+set:
+
+.. code-block:: python
+
+  def eval_fn(model, X, y):
+      return mx.mean(mx.argmax(model(X), axis=1) == y)
+
+Next, setup the problem parameters and load the data:
+
+.. code-block:: python
+
+  num_layers = 2
+  hidden_dim = 32
+  num_classes = 10
+  batch_size = 256
+  num_epochs = 10
+  learning_rate = 1e-1
+
+  # Load the data
+  import mnist 
+  train_images, train_labels, test_images, test_labels = map(
+      mx.array, mnist.mnist()
+  )
+
+Since we're using SGD, we need an iterator which shuffles and constructs
+minibatches of examples in the training set:
+
+.. code-block:: python
+
+  def batch_iterate(batch_size, X, y):
+      perm = mx.array(np.random.permutation(y.size))
+      for s in range(0, y.size, batch_size):
+          ids = perm[s : s + batch_size]
+          yield X[ids], y[ids]
+
+
+Finally, we put it all together by instantiating the model, the
+:class:`mlx.optimizers.SGD` optimizer, and running the training loop:
+
+.. code-block:: python
+
+  # Load the model
+  model = MLP(num_layers, train_images.shape[-1], hidden_dim, num_classes)
+  mx.eval(model.parameters())
+
+  # Get a function which gives the loss and gradient of the
+  # loss with respect to the model's trainable parameters
+  loss_and_grad_fn = nn.value_and_grad(model, loss_fn)
+
+  # Instantiate the optimizer
+  optimizer = optim.SGD(learning_rate=learning_rate)
+
+  for e in range(num_epochs):
+      for X, y in batch_iterate(batch_size, train_images, train_labels):
+          loss, grads = loss_and_grad_fn(model, X, y)
+
+          # Update the optimizer state and model parameters
+          # in a single call
+          optimizer.update(model, grads)
+
+          # Force a graph evaluation
+          mx.eval(model.parameters(), optimizer.state)
+
+      accuracy = eval_fn(model, test_images, test_labels)
+      print(f"Epoch {e}: Test accuracy {accuracy.item():.3f}")
+
+
+.. note::
+  The :func:`mlx.nn.value_and_grad` function is a convenience function to get
+  the gradient of a loss with respect to the trainable parameters of a model.
+  This should not be confused with :func:`mlx.core.value_and_grad`.
+
+The model should train to a decent accuracy (about 95%) after just a few passes
+over the training set. The `full example <https://github.com/ml-explore/mlx-examples/tree/main/mlp>`_
+is available in the MLX GitHub repo.
diff --git a/docs/build/html/_sources/index.rst.txt b/docs/build/html/_sources/index.rst.txt
new file mode 100644
index 000000000..a5bf3e9a2
--- /dev/null
+++ b/docs/build/html/_sources/index.rst.txt
@@ -0,0 +1,49 @@
+MLX
+===
+
+.. toctree::
+   :caption: Install
+   :maxdepth: 1
+
+   install
+
+.. toctree::
+   :caption: Usage 
+   :maxdepth: 1
+
+   quick_start
+   using_streams
+
+.. toctree::
+   :caption: Examples
+   :maxdepth: 1
+
+   examples/linear_regression
+   examples/mlp
+   examples/llama-inference
+
+.. toctree::
+   :caption: Further Reading
+   :maxdepth: 1
+
+   dev/extensions
+
+.. toctree::
+   :caption: Python API Reference
+   :maxdepth: 1
+
+   python/array
+   python/devices_and_streams
+   python/ops
+   python/random
+   python/transforms
+   python/fft
+   python/nn
+   python/optimizers
+   python/tree_utils
+
+.. toctree::
+   :caption: C++ API Reference
+   :maxdepth: 1
+
+   cpp/ops
diff --git a/docs/build/html/_sources/install.rst.txt b/docs/build/html/_sources/install.rst.txt
new file mode 100644
index 000000000..fd4f9becd
--- /dev/null
+++ b/docs/build/html/_sources/install.rst.txt
@@ -0,0 +1,102 @@
+Build and Install
+=================
+
+Install from PyPI
+-----------------
+
+MLX is available at Apple's internal PyPI repository. All you have to do to use
+MLX with your own Apple silicon computer is
+
+.. code-block:: shell
+
+    pip install apple-mlx -i https://pypi.apple.com/simple
+
+Build from source
+-----------------
+
+Build Requirements
+^^^^^^^^^^^^^^^^^^
+
+- A C++ compiler with C++17 support (e.g. Clang >= 5.0)
+- `cmake <https://cmake.org/>`_ -- version 3.24 or later, and ``make``
+
+
+Python API
+^^^^^^^^^^
+
+To build and install the MLX python library from source, first, clone MLX from
+`its GitHub repo <https://github.com/ml-explore/mlx>`_:
+
+.. code-block:: shell
+
+   git clone git@github.com:ml-explore/mlx.git mlx && cd mlx
+
+Make sure that you have `pybind11 <https://pybind11.readthedocs.io/en/stable/index.html>`_
+installed. You can install ``pybind11`` with ``pip``, ``brew`` or ``conda`` as follows:
+
+.. code-block:: shell
+
+    pip install "pybind11[global]"
+    conda install pybind11
+    brew install pybind11
+
+Then simply build and install it using pip:
+
+.. code-block:: shell
+
+   env CMAKE_BUILD_PARALLEL_LEVEL="" pip install .
+
+
+C++ API
+^^^^^^^
+
+Currently, MLX must be built and installed from source.
+
+Similarly to the python library, to build and install the MLX C++ library start
+by cloning MLX from `its GitHub repo
+<https://github.com/ml-explore/mlx>`_:
+
+.. code-block:: shell
+
+   git clone git@github.com:ml-explore/mlx.git mlx && cd mlx
+
+Create a build directory and run CMake and make:
+
+.. code-block:: shell
+
+   mkdir -p build && cd build
+   cmake .. && make -j 
+
+Run tests with:
+
+.. code-block:: shell
+
+   make test
+
+Install with:
+
+.. code-block:: shell
+
+   make install
+
+Note that the built ``mlx.metallib`` file should be either at the same
+directory as the executable statically linked to ``libmlx.a`` or the
+preprocessor constant ``METAL_PATH`` should be defined at build time and it
+should point to the path to the built metal library.
+
+.. list-table:: Build Options 
+   :widths: 25 8
+   :header-rows: 1
+
+   * - Option
+     - Default
+   * - MLX_BUILD_TESTS
+     - ON
+   * - MLX_BUILD_EXAMPLES
+     - OFF
+   * - MLX_BUILD_BENCHMARKS
+     - OFF
+   * - MLX_BUILD_METAL
+     - ON
+   * - MLX_BUILD_PYTHON_BINDINGS
+     - OFF
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.Device.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.Device.rst.txt
new file mode 100644
index 000000000..eafe9082b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.Device.rst.txt
@@ -0,0 +1,28 @@
+mlx.core.Device
+===============
+
+.. currentmodule:: mlx.core
+
+.. autoclass:: Device
+
+   
+   .. automethod:: __init__
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+      ~Device.__init__
+   
+   
+
+   
+   
+   .. rubric:: Attributes
+
+   .. autosummary::
+   
+      ~Device.type
+   
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.Dtype.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.Dtype.rst.txt
new file mode 100644
index 000000000..2ca0ac412
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.Dtype.rst.txt
@@ -0,0 +1,28 @@
+mlx.core.Dtype
+==============
+
+.. currentmodule:: mlx.core
+
+.. autoclass:: Dtype
+
+   
+   .. automethod:: __init__
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+      ~Dtype.__init__
+   
+   
+
+   
+   
+   .. rubric:: Attributes
+
+   .. autosummary::
+   
+      ~Dtype.size
+   
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.Stream.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.Stream.rst.txt
new file mode 100644
index 000000000..14a00e70b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.Stream.rst.txt
@@ -0,0 +1,28 @@
+mlx.core.Stream
+===============
+
+.. currentmodule:: mlx.core
+
+.. autoclass:: Stream
+
+   
+   .. automethod:: __init__
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+      ~Stream.__init__
+   
+   
+
+   
+   
+   .. rubric:: Attributes
+
+   .. autosummary::
+   
+      ~Stream.device
+   
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.abs.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.abs.rst.txt
new file mode 100644
index 000000000..90eca6f80
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.abs.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.abs
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: abs
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.add.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.add.rst.txt
new file mode 100644
index 000000000..291a4dcb6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.add.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.add
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: add
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.all.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.all.rst.txt
new file mode 100644
index 000000000..77a7722eb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.all.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.all
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: all
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.allclose.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.allclose.rst.txt
new file mode 100644
index 000000000..db268abac
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.allclose.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.allclose
+=================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: allclose
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.any.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.any.rst.txt
new file mode 100644
index 000000000..e7f8e2db1
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.any.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.any
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: any
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arange.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arange.rst.txt
new file mode 100644
index 000000000..6521b8bc4
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arange.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arange
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arange
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arccos.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arccos.rst.txt
new file mode 100644
index 000000000..5474960fe
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arccos.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arccos
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arccos
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arccosh.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arccosh.rst.txt
new file mode 100644
index 000000000..1925cef6f
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arccosh.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arccosh
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arccosh
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arcsin.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arcsin.rst.txt
new file mode 100644
index 000000000..c78d675df
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arcsin.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arcsin
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arcsin
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arcsinh.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arcsinh.rst.txt
new file mode 100644
index 000000000..dc25a7f61
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arcsinh.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arcsinh
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arcsinh
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arctan.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arctan.rst.txt
new file mode 100644
index 000000000..d132be2d4
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arctan.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arctan
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arctan
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.arctanh.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.arctanh.rst.txt
new file mode 100644
index 000000000..174616e82
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.arctanh.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.arctanh
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: arctanh
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.argmax.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.argmax.rst.txt
new file mode 100644
index 000000000..925d39c3a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.argmax.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.argmax
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: argmax
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.argmin.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.argmin.rst.txt
new file mode 100644
index 000000000..0f0696b9f
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.argmin.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.argmin
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: argmin
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.argpartition.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.argpartition.rst.txt
new file mode 100644
index 000000000..51ac000b9
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.argpartition.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.argpartition
+=====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: argpartition
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.argsort.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.argsort.rst.txt
new file mode 100644
index 000000000..0353eeae4
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.argsort.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.argsort
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: argsort
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.T.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.T.rst.txt
new file mode 100644
index 000000000..4008a16cc
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.T.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.T
+================
+
+.. currentmodule:: mlx.core
+
+.. autoproperty:: array.T
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.abs.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.abs.rst.txt
new file mode 100644
index 000000000..9374238e7
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.abs.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.abs
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.abs
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.all.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.all.rst.txt
new file mode 100644
index 000000000..8ca4f0a4a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.all.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.all
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.all
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.any.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.any.rst.txt
new file mode 100644
index 000000000..c24700a61
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.any.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.any
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.any
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.argmax.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.argmax.rst.txt
new file mode 100644
index 000000000..4e0aa26a6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.argmax.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.argmax
+=====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.argmax
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.argmin.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.argmin.rst.txt
new file mode 100644
index 000000000..aa2061e72
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.argmin.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.argmin
+=====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.argmin
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.astype.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.astype.rst.txt
new file mode 100644
index 000000000..9370e618a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.astype.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.astype
+=====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.astype
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.cos.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.cos.rst.txt
new file mode 100644
index 000000000..dec25f11d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.cos.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.cos
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.cos
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.dtype.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.dtype.rst.txt
new file mode 100644
index 000000000..ad99ac69a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.dtype.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.dtype
+====================
+
+.. currentmodule:: mlx.core
+
+.. autoproperty:: array.dtype
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.exp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.exp.rst.txt
new file mode 100644
index 000000000..e837cd4ad
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.exp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.exp
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.exp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.item.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.item.rst.txt
new file mode 100644
index 000000000..a592384c9
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.item.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.item
+===================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.item
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.log.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.log.rst.txt
new file mode 100644
index 000000000..cb28c3022
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.log.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.log
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.log
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.log1p.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.log1p.rst.txt
new file mode 100644
index 000000000..315678f81
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.log1p.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.log1p
+====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.log1p
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.logsumexp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.logsumexp.rst.txt
new file mode 100644
index 000000000..31e060adc
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.logsumexp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.logsumexp
+========================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.logsumexp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.max.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.max.rst.txt
new file mode 100644
index 000000000..52cc1312c
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.max.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.max
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.max
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.mean.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.mean.rst.txt
new file mode 100644
index 000000000..b871a0abb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.mean.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.mean
+===================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.mean
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.min.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.min.rst.txt
new file mode 100644
index 000000000..ae971e61a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.min.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.min
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.min
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.ndim.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.ndim.rst.txt
new file mode 100644
index 000000000..f351249cd
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.ndim.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.ndim
+===================
+
+.. currentmodule:: mlx.core
+
+.. autoproperty:: array.ndim
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.prod.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.prod.rst.txt
new file mode 100644
index 000000000..b0779ebdd
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.prod.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.prod
+===================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.prod
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.reciprocal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.reciprocal.rst.txt
new file mode 100644
index 000000000..c91a799fd
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.reciprocal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.reciprocal
+=========================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.reciprocal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.reshape.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.reshape.rst.txt
new file mode 100644
index 000000000..7925714c2
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.reshape.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.reshape
+======================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.reshape
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.rsqrt.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.rsqrt.rst.txt
new file mode 100644
index 000000000..5c35f68a5
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.rsqrt.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.rsqrt
+====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.rsqrt
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.rst.txt
new file mode 100644
index 000000000..21e66b5e4
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.rst.txt
@@ -0,0 +1,66 @@
+mlx.core.array
+==============
+
+.. currentmodule:: mlx.core
+
+.. autoclass:: array
+
+   
+   .. automethod:: __init__
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+      ~array.__init__
+      ~array.abs
+      ~array.all
+      ~array.any
+      ~array.argmax
+      ~array.argmin
+      ~array.astype
+      ~array.cos
+      ~array.cummax
+      ~array.cummin
+      ~array.cumprod
+      ~array.cumsum
+      ~array.exp
+      ~array.item
+      ~array.log
+      ~array.log10
+      ~array.log1p
+      ~array.log2
+      ~array.logsumexp
+      ~array.max
+      ~array.mean
+      ~array.min
+      ~array.prod
+      ~array.reciprocal
+      ~array.reshape
+      ~array.rsqrt
+      ~array.sin
+      ~array.split
+      ~array.sqrt
+      ~array.square
+      ~array.squeeze
+      ~array.sum
+      ~array.tolist
+      ~array.transpose
+      ~array.var
+   
+   
+
+   
+   
+   .. rubric:: Attributes
+
+   .. autosummary::
+   
+      ~array.T
+      ~array.dtype
+      ~array.ndim
+      ~array.shape
+      ~array.size
+   
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.shape.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.shape.rst.txt
new file mode 100644
index 000000000..56eeb06bc
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.shape.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.shape
+====================
+
+.. currentmodule:: mlx.core
+
+.. autoproperty:: array.shape
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.sin.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.sin.rst.txt
new file mode 100644
index 000000000..1b6810c8b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.sin.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.sin
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.sin
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.size.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.size.rst.txt
new file mode 100644
index 000000000..8409fe262
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.size.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.size
+===================
+
+.. currentmodule:: mlx.core
+
+.. autoproperty:: array.size
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.split.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.split.rst.txt
new file mode 100644
index 000000000..76fd5ac8c
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.split.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.split
+====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.split
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.sqrt.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.sqrt.rst.txt
new file mode 100644
index 000000000..636867649
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.sqrt.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.sqrt
+===================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.sqrt
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.square.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.square.rst.txt
new file mode 100644
index 000000000..d543174c0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.square.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.square
+=====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.square
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.sum.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.sum.rst.txt
new file mode 100644
index 000000000..456efc544
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.sum.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.sum
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.sum
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.tolist.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.tolist.rst.txt
new file mode 100644
index 000000000..0d8cdfaa0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.tolist.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.tolist
+=====================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.tolist
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.transpose.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.transpose.rst.txt
new file mode 100644
index 000000000..1c3845feb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.transpose.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.transpose
+========================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.transpose
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array.var.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array.var.rst.txt
new file mode 100644
index 000000000..6d43ec8d6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array.var.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array.var
+==================
+
+.. currentmodule:: mlx.core
+
+.. automethod:: array.var
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.array_equal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.array_equal.rst.txt
new file mode 100644
index 000000000..09d8e25bb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.array_equal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.array\_equal
+=====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: array_equal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.broadcast_to.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.broadcast_to.rst.txt
new file mode 100644
index 000000000..a938ea97d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.broadcast_to.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.broadcast\_to
+======================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: broadcast_to
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.concatenate.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.concatenate.rst.txt
new file mode 100644
index 000000000..4352200e8
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.concatenate.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.concatenate
+====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: concatenate
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.conv1d.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.conv1d.rst.txt
new file mode 100644
index 000000000..47c9d78df
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.conv1d.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.conv1d
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: conv1d
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.conv2d.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.conv2d.rst.txt
new file mode 100644
index 000000000..694185321
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.conv2d.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.conv2d
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: conv2d
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.convolve.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.convolve.rst.txt
new file mode 100644
index 000000000..975dc71b3
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.convolve.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.convolve
+=================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: convolve
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.cos.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.cos.rst.txt
new file mode 100644
index 000000000..a3fa49a78
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.cos.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.cos
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: cos
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.cosh.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.cosh.rst.txt
new file mode 100644
index 000000000..39437cfb7
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.cosh.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.cosh
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: cosh
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.default_device.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.default_device.rst.txt
new file mode 100644
index 000000000..21affc69d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.default_device.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.default\_device
+========================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: default_device
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.default_stream.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.default_stream.rst.txt
new file mode 100644
index 000000000..96b7d41ee
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.default_stream.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.default\_stream
+========================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: default_stream
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.divide.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.divide.rst.txt
new file mode 100644
index 000000000..7fe60717e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.divide.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.divide
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: divide
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.equal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.equal.rst.txt
new file mode 100644
index 000000000..f61f1189e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.equal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.equal
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: equal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.erf.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.erf.rst.txt
new file mode 100644
index 000000000..6682cd23a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.erf.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.erf
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: erf
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.erfinv.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.erfinv.rst.txt
new file mode 100644
index 000000000..0dde3b21c
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.erfinv.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.erfinv
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: erfinv
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.eval.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.eval.rst.txt
new file mode 100644
index 000000000..5b2891980
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.eval.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.eval
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: eval
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.exp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.exp.rst.txt
new file mode 100644
index 000000000..a70ea5d15
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.exp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.exp
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: exp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.expand_dims.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.expand_dims.rst.txt
new file mode 100644
index 000000000..704825958
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.expand_dims.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.expand\_dims
+=====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: expand_dims
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fft.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fft.rst.txt
new file mode 100644
index 000000000..62c8eeb7f
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fft.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.fft
+================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: fft
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fft2.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fft2.rst.txt
new file mode 100644
index 000000000..0f690a7d6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fft2.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.fft2
+=================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: fft2
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fftn.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fftn.rst.txt
new file mode 100644
index 000000000..06845adfa
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.fftn.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.fftn
+=================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: fftn
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifft.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifft.rst.txt
new file mode 100644
index 000000000..2b9d7f0e4
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifft.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.ifft
+=================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: ifft
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifft2.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifft2.rst.txt
new file mode 100644
index 000000000..e07f9a409
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifft2.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.ifft2
+==================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: ifft2
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifftn.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifftn.rst.txt
new file mode 100644
index 000000000..1e9b09941
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.ifftn.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.ifftn
+==================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: ifftn
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfft.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfft.rst.txt
new file mode 100644
index 000000000..0a028a59e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfft.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.irfft
+==================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: irfft
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfft2.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfft2.rst.txt
new file mode 100644
index 000000000..b638433be
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfft2.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.irfft2
+===================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: irfft2
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfftn.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfftn.rst.txt
new file mode 100644
index 000000000..6668b2903
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.irfftn.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.irfftn
+===================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: irfftn
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfft.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfft.rst.txt
new file mode 100644
index 000000000..a9ab1056d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfft.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.rfft
+=================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: rfft
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfft2.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfft2.rst.txt
new file mode 100644
index 000000000..aef04184e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfft2.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.rfft2
+==================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: rfft2
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfftn.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfftn.rst.txt
new file mode 100644
index 000000000..95b852f74
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.fft.rfftn.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.fft.rfftn
+==================
+
+.. currentmodule:: mlx.core.fft
+
+.. autofunction:: rfftn
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.full.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.full.rst.txt
new file mode 100644
index 000000000..b4bdd26ea
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.full.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.full
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: full
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.grad.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.grad.rst.txt
new file mode 100644
index 000000000..41e8dadea
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.grad.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.grad
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: grad
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.greater.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.greater.rst.txt
new file mode 100644
index 000000000..db867b536
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.greater.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.greater
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: greater
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.greater_equal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.greater_equal.rst.txt
new file mode 100644
index 000000000..b6b1b0989
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.greater_equal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.greater\_equal
+=======================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: greater_equal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.jvp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.jvp.rst.txt
new file mode 100644
index 000000000..b9f964c8b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.jvp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.jvp
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: jvp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.less.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.less.rst.txt
new file mode 100644
index 000000000..a5cf7dd43
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.less.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.less
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: less
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.less_equal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.less_equal.rst.txt
new file mode 100644
index 000000000..4398665a7
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.less_equal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.less\_equal
+====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: less_equal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.load.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.load.rst.txt
new file mode 100644
index 000000000..d02413969
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.load.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.load
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: load
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.log.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.log.rst.txt
new file mode 100644
index 000000000..21fac68bb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.log.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.log
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: log
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.log10.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.log10.rst.txt
new file mode 100644
index 000000000..d22e63ac1
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.log10.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.log10
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: log10
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.log1p.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.log1p.rst.txt
new file mode 100644
index 000000000..1331c99f1
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.log1p.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.log1p
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: log1p
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.log2.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.log2.rst.txt
new file mode 100644
index 000000000..4c36e519c
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.log2.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.log2
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: log2
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.logaddexp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.logaddexp.rst.txt
new file mode 100644
index 000000000..89c747529
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.logaddexp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.logaddexp
+==================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: logaddexp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.logical_not.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.logical_not.rst.txt
new file mode 100644
index 000000000..7a83ea811
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.logical_not.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.logical\_not
+=====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: logical_not
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.logsumexp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.logsumexp.rst.txt
new file mode 100644
index 000000000..89f6b86e0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.logsumexp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.logsumexp
+==================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: logsumexp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.matmul.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.matmul.rst.txt
new file mode 100644
index 000000000..261ae7fb2
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.matmul.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.matmul
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: matmul
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.max.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.max.rst.txt
new file mode 100644
index 000000000..74c2225e2
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.max.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.max
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: max
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.maximum.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.maximum.rst.txt
new file mode 100644
index 000000000..82485a103
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.maximum.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.maximum
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: maximum
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.mean.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.mean.rst.txt
new file mode 100644
index 000000000..1b6bd346d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.mean.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.mean
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: mean
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.min.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.min.rst.txt
new file mode 100644
index 000000000..4d6350e89
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.min.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.min
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: min
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.minimum.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.minimum.rst.txt
new file mode 100644
index 000000000..c535a3e6e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.minimum.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.minimum
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: minimum
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.multiply.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.multiply.rst.txt
new file mode 100644
index 000000000..93b185dc6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.multiply.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.multiply
+=================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: multiply
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.negative.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.negative.rst.txt
new file mode 100644
index 000000000..91a2cfbe0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.negative.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.negative
+=================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: negative
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.new_stream.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.new_stream.rst.txt
new file mode 100644
index 000000000..f8aa5249b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.new_stream.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.new\_stream
+====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: new_stream
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.ones.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.ones.rst.txt
new file mode 100644
index 000000000..d23dd1037
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.ones.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.ones
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: ones
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.ones_like.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.ones_like.rst.txt
new file mode 100644
index 000000000..6a1b99feb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.ones_like.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.ones\_like
+===================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: ones_like
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.pad.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.pad.rst.txt
new file mode 100644
index 000000000..e2b9becb6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.pad.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.pad
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: pad
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.partition.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.partition.rst.txt
new file mode 100644
index 000000000..3a6f78fc7
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.partition.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.partition
+==================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: partition
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.prod.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.prod.rst.txt
new file mode 100644
index 000000000..e64cd3098
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.prod.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.prod
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: prod
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.bernoulli.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.bernoulli.rst.txt
new file mode 100644
index 000000000..6dd4a2bae
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.bernoulli.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.bernoulli
+=========================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: bernoulli
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.categorical.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.categorical.rst.txt
new file mode 100644
index 000000000..b3533743b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.categorical.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.categorical
+===========================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: categorical
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.gumbel.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.gumbel.rst.txt
new file mode 100644
index 000000000..d01901fa0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.gumbel.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.gumbel
+======================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: gumbel
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.key.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.key.rst.txt
new file mode 100644
index 000000000..0939c55e0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.key.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.key
+===================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: key
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.normal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.normal.rst.txt
new file mode 100644
index 000000000..ae23c986d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.normal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.normal
+======================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: normal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.randint.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.randint.rst.txt
new file mode 100644
index 000000000..957a85b84
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.randint.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.randint
+=======================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: randint
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.seed.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.seed.rst.txt
new file mode 100644
index 000000000..735f72e8a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.seed.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.seed
+====================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: seed
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.split.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.split.rst.txt
new file mode 100644
index 000000000..867611d14
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.split.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.split
+=====================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: split
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.truncated_normal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.truncated_normal.rst.txt
new file mode 100644
index 000000000..c3cc7f4a6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.truncated_normal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.truncated\_normal
+=================================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: truncated_normal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.random.uniform.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.random.uniform.rst.txt
new file mode 100644
index 000000000..9301d1d20
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.random.uniform.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.random.uniform
+=======================
+
+.. currentmodule:: mlx.core.random
+
+.. autofunction:: uniform
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.reciprocal.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.reciprocal.rst.txt
new file mode 100644
index 000000000..0f6890917
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.reciprocal.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.reciprocal
+===================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: reciprocal
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.reshape.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.reshape.rst.txt
new file mode 100644
index 000000000..a7c5c9694
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.reshape.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.reshape
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: reshape
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.rsqrt.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.rsqrt.rst.txt
new file mode 100644
index 000000000..0fa61dc40
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.rsqrt.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.rsqrt
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: rsqrt
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.save.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.save.rst.txt
new file mode 100644
index 000000000..0e1a818b9
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.save.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.save
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: save
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.savez.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.savez.rst.txt
new file mode 100644
index 000000000..80430b269
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.savez.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.savez
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: savez
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.savez_compressed.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.savez_compressed.rst.txt
new file mode 100644
index 000000000..bc3a4e2fd
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.savez_compressed.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.savez\_compressed
+==========================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: savez_compressed
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.set_default_device.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.set_default_device.rst.txt
new file mode 100644
index 000000000..e381fcb7e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.set_default_device.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.set\_default\_device
+=============================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: set_default_device
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.set_default_stream.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.set_default_stream.rst.txt
new file mode 100644
index 000000000..fd614926b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.set_default_stream.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.set\_default\_stream
+=============================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: set_default_stream
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sigmoid.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sigmoid.rst.txt
new file mode 100644
index 000000000..69c020fdd
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sigmoid.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sigmoid
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sigmoid
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sign.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sign.rst.txt
new file mode 100644
index 000000000..19bf01602
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sign.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sign
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sign
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sin.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sin.rst.txt
new file mode 100644
index 000000000..edd0a0d25
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sin.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sin
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sin
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sinh.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sinh.rst.txt
new file mode 100644
index 000000000..59889278e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sinh.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sinh
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sinh
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.softmax.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.softmax.rst.txt
new file mode 100644
index 000000000..241aeec7e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.softmax.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.softmax
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: softmax
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sort.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sort.rst.txt
new file mode 100644
index 000000000..d72b031a7
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sort.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sort
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sort
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.split.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.split.rst.txt
new file mode 100644
index 000000000..80d545f03
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.split.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.split
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: split
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sqrt.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sqrt.rst.txt
new file mode 100644
index 000000000..5020c386f
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sqrt.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sqrt
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sqrt
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.square.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.square.rst.txt
new file mode 100644
index 000000000..06c6277b9
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.square.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.square
+===============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: square
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.squeeze.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.squeeze.rst.txt
new file mode 100644
index 000000000..7c4b7ae76
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.squeeze.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.squeeze
+================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: squeeze
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.stop_gradient.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.stop_gradient.rst.txt
new file mode 100644
index 000000000..309f02375
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.stop_gradient.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.stop\_gradient
+=======================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: stop_gradient
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.subtract.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.subtract.rst.txt
new file mode 100644
index 000000000..b25e6c50b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.subtract.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.subtract
+=================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: subtract
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.sum.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.sum.rst.txt
new file mode 100644
index 000000000..6800c8c6b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.sum.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.sum
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: sum
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.take.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.take.rst.txt
new file mode 100644
index 000000000..ec6579a79
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.take.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.take
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: take
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.take_along_axis.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.take_along_axis.rst.txt
new file mode 100644
index 000000000..3897da7dc
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.take_along_axis.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.take\_along\_axis
+==========================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: take_along_axis
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.tan.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.tan.rst.txt
new file mode 100644
index 000000000..d4aed157e
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.tan.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.tan
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: tan
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.tanh.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.tanh.rst.txt
new file mode 100644
index 000000000..8251066c0
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.tanh.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.tanh
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: tanh
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.transpose.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.transpose.rst.txt
new file mode 100644
index 000000000..2648d84a7
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.transpose.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.transpose
+==================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: transpose
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.value_and_grad.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.value_and_grad.rst.txt
new file mode 100644
index 000000000..b400a663d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.value_and_grad.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.value\_and\_grad
+=========================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: value_and_grad
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.var.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.var.rst.txt
new file mode 100644
index 000000000..8217874af
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.var.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.var
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: var
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.vjp.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.vjp.rst.txt
new file mode 100644
index 000000000..6dfc91397
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.vjp.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.vjp
+============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: vjp
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.vmap.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.vmap.rst.txt
new file mode 100644
index 000000000..d937e6071
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.vmap.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.vmap
+=============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: vmap
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.where.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.where.rst.txt
new file mode 100644
index 000000000..fbaa4504a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.where.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.where
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: where
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.zeros.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.zeros.rst.txt
new file mode 100644
index 000000000..9738ac24b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.zeros.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.zeros
+==============
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: zeros
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.core.zeros_like.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.core.zeros_like.rst.txt
new file mode 100644
index 000000000..8de29dbe5
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.core.zeros_like.rst.txt
@@ -0,0 +1,6 @@
+mlx.core.zeros\_like
+====================
+
+.. currentmodule:: mlx.core
+
+.. autofunction:: zeros_like
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.Conv1d.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.Conv1d.rst.txt
new file mode 100644
index 000000000..c4128b83b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.Conv1d.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.Conv1d
+=============
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: Conv1d
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.Conv2d.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.Conv2d.rst.txt
new file mode 100644
index 000000000..7bd1f08bb
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.Conv2d.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.Conv2d
+=============
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: Conv2d
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.Embedding.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.Embedding.rst.txt
new file mode 100644
index 000000000..ad2f3f2ce
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.Embedding.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.Embedding
+================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: Embedding
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.GELU.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.GELU.rst.txt
new file mode 100644
index 000000000..c963c84f2
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.GELU.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.GELU
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: GELU
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.GroupNorm.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.GroupNorm.rst.txt
new file mode 100644
index 000000000..762d9ffea
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.GroupNorm.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.GroupNorm
+================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: GroupNorm
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.LayerNorm.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.LayerNorm.rst.txt
new file mode 100644
index 000000000..cc0ac117d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.LayerNorm.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.LayerNorm
+================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: LayerNorm
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.Linear.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.Linear.rst.txt
new file mode 100644
index 000000000..627e6e6e6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.Linear.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.Linear
+=============
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: Linear
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.MultiHeadAttention.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.MultiHeadAttention.rst.txt
new file mode 100644
index 000000000..2c3a8fcc1
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.MultiHeadAttention.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.MultiHeadAttention
+=========================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: MultiHeadAttention
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.RMSNorm.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.RMSNorm.rst.txt
new file mode 100644
index 000000000..474b1355d
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.RMSNorm.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.RMSNorm
+==============
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: RMSNorm
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.ReLU.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.ReLU.rst.txt
new file mode 100644
index 000000000..944917de9
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.ReLU.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.ReLU
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: ReLU
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.RoPE.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.RoPE.rst.txt
new file mode 100644
index 000000000..392fbab7b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.RoPE.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.RoPE
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: RoPE
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.Sequential.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.Sequential.rst.txt
new file mode 100644
index 000000000..af6ee04ab
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.Sequential.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.Sequential
+=================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: Sequential
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.SiLU.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.SiLU.rst.txt
new file mode 100644
index 000000000..85069c9d5
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.SiLU.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.SiLU
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: SiLU
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.nn.value_and_grad.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.nn.value_and_grad.rst.txt
new file mode 100644
index 000000000..103cb3606
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.nn.value_and_grad.rst.txt
@@ -0,0 +1,6 @@
+mlx.nn.value\_and\_grad
+=======================
+
+.. currentmodule:: mlx.nn
+
+.. autofunction:: value_and_grad
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.optimizers.Adam.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.Adam.rst.txt
new file mode 100644
index 000000000..074080ea6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.Adam.rst.txt
@@ -0,0 +1,18 @@
+mlx.optimizers.Adam
+===================
+
+.. currentmodule:: mlx.optimizers
+
+.. autoclass:: Adam
+
+   
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+         ~Adam.__init__
+         ~Adam.apply_single
+   
+   
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.optimizers.Optimizer.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.Optimizer.rst.txt
new file mode 100644
index 000000000..613eb02cf
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.Optimizer.rst.txt
@@ -0,0 +1,20 @@
+mlx.optimizers.Optimizer
+========================
+
+.. currentmodule:: mlx.optimizers
+
+.. autoclass:: Optimizer
+
+   
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+         ~Optimizer.__init__
+         ~Optimizer.apply_gradients
+         ~Optimizer.apply_single
+         ~Optimizer.update
+   
+   
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.optimizers.OptimizerState.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.OptimizerState.rst.txt
new file mode 100644
index 000000000..b319b6d09
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.OptimizerState.rst.txt
@@ -0,0 +1,17 @@
+mlx.optimizers.OptimizerState
+=============================
+
+.. currentmodule:: mlx.optimizers
+
+.. autoclass:: OptimizerState
+
+   
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+         ~OptimizerState.get
+   
+   
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.optimizers.SGD.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.SGD.rst.txt
new file mode 100644
index 000000000..35a9759ed
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.optimizers.SGD.rst.txt
@@ -0,0 +1,18 @@
+mlx.optimizers.SGD
+==================
+
+.. currentmodule:: mlx.optimizers
+
+.. autoclass:: SGD
+
+   
+
+   
+   .. rubric:: Methods
+
+   .. autosummary::
+   
+         ~SGD.__init__
+         ~SGD.apply_single
+   
+   
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_flatten.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_flatten.rst.txt
new file mode 100644
index 000000000..554cf3fb4
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_flatten.rst.txt
@@ -0,0 +1,6 @@
+mlx.utils.tree\_flatten
+=======================
+
+.. currentmodule:: mlx.utils
+
+.. autofunction:: tree_flatten
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_map.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_map.rst.txt
new file mode 100644
index 000000000..0475ff44b
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_map.rst.txt
@@ -0,0 +1,6 @@
+mlx.utils.tree\_map
+===================
+
+.. currentmodule:: mlx.utils
+
+.. autofunction:: tree_map
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_unflatten.rst.txt b/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_unflatten.rst.txt
new file mode 100644
index 000000000..c8d6aa593
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary/mlx.utils.tree_unflatten.rst.txt
@@ -0,0 +1,6 @@
+mlx.utils.tree\_unflatten
+=========================
+
+.. currentmodule:: mlx.utils
+
+.. autofunction:: tree_unflatten
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu.rst.txt b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu.rst.txt
new file mode 100644
index 000000000..3e1668eb6
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.gelu
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: gelu
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu_approx.rst.txt b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu_approx.rst.txt
new file mode 100644
index 000000000..de08dc88c
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu_approx.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.gelu\_approx
+===================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: gelu_approx
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu_fast_approx.rst.txt b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu_fast_approx.rst.txt
new file mode 100644
index 000000000..c84114e6c
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.gelu_fast_approx.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.gelu\_fast\_approx
+=========================
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: gelu_fast_approx
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.relu.rst.txt b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.relu.rst.txt
new file mode 100644
index 000000000..93a69272a
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.relu.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.relu
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: relu
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.silu.rst.txt b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.silu.rst.txt
new file mode 100644
index 000000000..b30c17b06
--- /dev/null
+++ b/docs/build/html/_sources/python/_autosummary_functions/mlx.nn.silu.rst.txt
@@ -0,0 +1,8 @@
+mlx.nn.silu
+===========
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: silu
+
+   
\ No newline at end of file
diff --git a/docs/build/html/_sources/python/array.rst.txt b/docs/build/html/_sources/python/array.rst.txt
new file mode 100644
index 000000000..96ddd32b3
--- /dev/null
+++ b/docs/build/html/_sources/python/array.rst.txt
@@ -0,0 +1,45 @@
+.. _array:
+
+Array
+=====
+
+.. currentmodule:: mlx.core
+
+.. autosummary:: 
+   :toctree: _autosummary 
+
+    array
+    array.astype
+    array.item
+    array.tolist
+    array.dtype
+    array.ndim
+    array.shape
+    array.size
+    Dtype
+    array.abs
+    array.all
+    array.any
+    array.argmax
+    array.argmin
+    array.cos
+    array.dtype
+    array.exp
+    array.log
+    array.log1p
+    array.logsumexp
+    array.max
+    array.mean
+    array.min
+    array.prod
+    array.reciprocal
+    array.reshape
+    array.rsqrt
+    array.sin
+    array.split
+    array.sqrt
+    array.square
+    array.sum
+    array.transpose
+    array.T
+    array.var
diff --git a/docs/build/html/_sources/python/data_types.rst.txt b/docs/build/html/_sources/python/data_types.rst.txt
new file mode 100644
index 000000000..cbb5c9a3f
--- /dev/null
+++ b/docs/build/html/_sources/python/data_types.rst.txt
@@ -0,0 +1,52 @@
+.. _data_types:
+
+:orphan:
+
+Data Types
+==========
+
+.. currentmodule:: mlx.core
+
+The default floating point type is ``float32`` and the default integer type is
+``int32``. The table below shows supported values for :obj:`Dtype`. 
+
+.. list-table:: Supported Data Types 
+   :widths: 5 3 20
+   :header-rows: 1
+
+   * - Type 
+     - Bytes
+     - Description
+   * - ``bool_``
+     - 1 
+     - Boolean (``True``, ``False``) data type
+   * - ``uint8``
+     - 1 
+     - 8-bit unsigned integer 
+   * - ``uint16``
+     - 2 
+     - 16-bit unsigned integer 
+   * - ``uint32``
+     - 4 
+     - 32-bit unsigned integer 
+   * - ``uint32``
+     - 8 
+     - 32-bit unsigned integer 
+   * - ``int8``
+     - 1 
+     - 8-bit signed integer 
+   * - ``int16``
+     - 2 
+     - 16-bit signed integer 
+   * - ``int32``
+     - 4 
+     - 32-bit signed integer 
+   * - ``int64``
+     - 8 
+     - 64-bit signed integer 
+   * - ``float16``
+     - 2 
+     - 16-bit float, only available with `ARM C language extensions <https://developer.arm.com/documentation/101028/0012/3--C-language-extensions?lang=en>`_
+   * - ``float32``
+     - 4 
+     - 32-bit float
diff --git a/docs/build/html/_sources/python/devices_and_streams.rst.txt b/docs/build/html/_sources/python/devices_and_streams.rst.txt
new file mode 100644
index 000000000..bb9dfae2f
--- /dev/null
+++ b/docs/build/html/_sources/python/devices_and_streams.rst.txt
@@ -0,0 +1,17 @@
+.. _devices_and_streams:
+
+Devices and Streams
+===================
+
+.. currentmodule:: mlx.core
+
+.. autosummary::
+  :toctree: _autosummary
+
+   Device
+   default_device
+   set_default_device
+   Stream
+   default_stream
+   new_stream
+   set_default_stream
diff --git a/docs/build/html/_sources/python/fft.rst.txt b/docs/build/html/_sources/python/fft.rst.txt
new file mode 100644
index 000000000..9e4be084b
--- /dev/null
+++ b/docs/build/html/_sources/python/fft.rst.txt
@@ -0,0 +1,22 @@
+.. _fft:
+
+FFT
+===
+
+.. currentmodule:: mlx.core.fft
+
+.. autosummary:: 
+  :toctree: _autosummary
+
+  fft
+  ifft
+  fft2
+  ifft2
+  fftn
+  ifftn
+  rfft
+  irfft
+  rfft2
+  irfft2
+  rfftn
+  irfftn
diff --git a/docs/build/html/_sources/python/nn.rst.txt b/docs/build/html/_sources/python/nn.rst.txt
new file mode 100644
index 000000000..114fd8a90
--- /dev/null
+++ b/docs/build/html/_sources/python/nn.rst.txt
@@ -0,0 +1,172 @@
+.. _nn:
+
+.. currentmodule:: mlx.nn
+
+Neural Networks
+===============
+
+Writing arbitrarily complex neural networks in MLX can be done using only
+:class:`mlx.core.array` and :meth:`mlx.core.value_and_grad`. However, this requires the
+user to write again and again the same simple neural network operations as well
+as handle all the parameter state and initialization manually and explicitly.
+
+The module :mod:`mlx.nn` solves this problem by providing an intuitive way of
+composing neural network layers, initializing their parameters, freezing them
+for finetuning and more.
+
+Quick Start with Neural Networks
+---------------------------------
+
+.. code-block:: python
+
+    import mlx.core as mx
+    import mlx.nn as nn
+
+    class MLP(nn.Module):
+        def __init__(self, in_dims: int, out_dims: int):
+            super().__init__()
+
+            self.layers = [
+                nn.Linear(in_dims, 128),
+                nn.Linear(128, 128),
+                nn.Linear(128, out_dims),
+            ]
+
+        def __call__(self, x):
+            for i, l in enumerate(self.layers):
+                x = mx.maximum(x, 0) if i > 0 else x
+                x = l(x)
+            return x
+
+    # The model is created with all its parameters but nothing is initialized
+    # yet because MLX is lazily evaluated
+    mlp = MLP(2, 10)
+
+    # We can access its parameters by calling mlp.parameters()
+    params = mlp.parameters()
+    print(params["layers"][0]["weight"].shape)
+
+    # Printing a parameter will cause it to be evaluated and thus initialized
+    print(params["layers"][0])
+
+    # We can also force evaluate all parameters to initialize the model
+    mx.eval(mlp.parameters())
+
+    # A simple loss function.
+    # NOTE: It doesn't matter how it uses the mlp model. It currently captures
+    #       it from the local scope. It could be a positional argument or a
+    #       keyword argument.
+    def l2_loss(x, y):
+        y_hat = mlp(x)
+        return (y_hat - y).square().mean()
+
+    # Calling `nn.value_and_grad` instead of `mx.value_and_grad` returns the
+    # gradient with respect to `mlp.trainable_parameters()`
+    loss_and_grad = nn.value_and_grad(mlp, l2_loss)
+
+
+.. _module_class:
+
+The Module Class
+----------------
+
+The workhorse of any neural network library is the :class:`Module` class. In
+MLX the :class:`Module` class is a container of :class:`mlx.core.array` or
+:class:`Module` instances. Its main function is to provide a way to
+recursively **access** and **update** its parameters and those of its
+submodules.
+
+Parameters
+^^^^^^^^^^
+
+A parameter of a module is any public member of type :class:`mlx.core.array` (its
+name should not start with ``_``). It can be arbitrarily nested in other
+:class:`Module` instances or lists and dictionaries.
+
+:meth:`Module.parameters` can be used to extract a nested dictionary with all
+the parameters of a module and its submodules.
+
+A :class:`Module` can also keep track of "frozen" parameters.
+:meth:`Module.trainable_parameters` returns only the subset of
+:meth:`Module.parameters` that is not frozen. When using
+:meth:`mlx.nn.value_and_grad` the gradients returned will be with respect to these
+trainable parameters.
+
+Updating the parameters
+^^^^^^^^^^^^^^^^^^^^^^^
+
+MLX modules allow accessing and updating individual parameters. However, most
+times we need to update large subsets of a module's parameters. This action is
+performed by :meth:`Module.update`. 
+
+Value and grad
+--------------
+
+Using a :class:`Module` does not preclude using MLX's high order function
+transformations (:meth:`mlx.core.value_and_grad`, :meth:`mlx.core.grad`, etc.). However,
+these function transformations assume pure functions, namely the parameters
+should be passed as an argument to the function being transformed.
+
+There is an easy pattern to achieve that with MLX modules
+
+.. code-block:: python
+
+    model = ...
+
+    def f(params, other_inputs):
+        model.update(params)  # <---- Necessary to make the model use the passed parameters
+        return model(other_inputs)
+
+    f(model.trainable_parameters(), mx.zeros((10,)))
+
+However, :meth:`mlx.nn.value_and_grad` provides precisely this pattern and only
+computes the gradients with respect to the trainable parameters of the model.
+
+In detail:
+
+- it wraps the passed function with a function that calls :meth:`Module.update`
+  to make sure the model is using the provided parameters.
+- it calls :meth:`mlx.core.value_and_grad` to transform the function into a function
+  that also computes the gradients with respect to the passed parameters.
+- it wraps the returned function with a function that passes the trainable
+  parameters as the first argument to the function returned by
+  :meth:`mlx.core.value_and_grad`
+
+.. autosummary::
+   :toctree: _autosummary
+
+   value_and_grad
+
+Neural Network Layers
+---------------------
+
+.. autosummary::
+   :toctree: _autosummary
+   :template: nn-module-template.rst
+
+   Embedding
+   ReLU
+   GELU
+   SiLU
+   Linear
+   Conv1d
+   Conv2d
+   LayerNorm
+   RMSNorm
+   GroupNorm
+   RoPE
+   MultiHeadAttention
+   Sequential
+
+Layers without parameters (e.g. activation functions) are also provided as
+simple functions.
+
+.. autosummary::
+   :toctree: _autosummary_functions
+   :template: nn-module-template.rst
+
+   gelu
+   gelu_approx
+   gelu_fast_approx
+   relu
+   silu
diff --git a/docs/build/html/_sources/python/nn/module.rst.txt b/docs/build/html/_sources/python/nn/module.rst.txt
new file mode 100644
index 000000000..e14ba96f4
--- /dev/null
+++ b/docs/build/html/_sources/python/nn/module.rst.txt
@@ -0,0 +1,7 @@
+mlx.nn.Module
+=============
+
+.. currentmodule:: mlx.nn
+
+.. autoclass:: Module
+   :members:
diff --git a/docs/build/html/_sources/python/ops.rst.txt b/docs/build/html/_sources/python/ops.rst.txt
new file mode 100644
index 000000000..450588536
--- /dev/null
+++ b/docs/build/html/_sources/python/ops.rst.txt
@@ -0,0 +1,94 @@
+.. _ops:
+
+Operations
+==========
+
+.. currentmodule:: mlx.core
+
+.. autosummary:: 
+  :toctree: _autosummary
+
+   abs
+   add
+   all
+   allclose 
+   any
+   arange
+   arccos
+   arccosh
+   arcsin
+   arcsinh
+   arctan
+   arctanh
+   argmax
+   argmin
+   argpartition
+   argsort
+   array_equal
+   broadcast_to
+   concatenate
+   convolve
+   conv1d
+   conv2d
+   cos
+   cosh
+   divide
+   equal
+   erf
+   erfinv
+   exp
+   expand_dims
+   full
+   greater
+   greater_equal
+   less
+   less_equal
+   load
+   log
+   log2
+   log10
+   log1p
+   logaddexp
+   logical_not
+   logsumexp
+   matmul
+   max
+   maximum
+   mean
+   min
+   minimum
+   multiply
+   negative
+   ones
+   ones_like
+   partition
+   pad
+   prod
+   reciprocal
+   reshape
+   rsqrt
+   save
+   savez
+   savez_compressed
+   sigmoid
+   sign
+   sin
+   sinh
+   softmax
+   sort
+   split
+   sqrt
+   square
+   squeeze
+   stop_gradient
+   subtract
+   sum
+   take
+   take_along_axis
+   tan
+   tanh
+   transpose
+   var
+   where
+   zeros
+   zeros_like
diff --git a/docs/build/html/_sources/python/optimizers.rst.txt b/docs/build/html/_sources/python/optimizers.rst.txt
new file mode 100644
index 000000000..7f5d3a067
--- /dev/null
+++ b/docs/build/html/_sources/python/optimizers.rst.txt
@@ -0,0 +1,41 @@
+.. _optimizers:
+
+Optimizers
+==========
+
+The optimizers in MLX can be used both with :mod:`mlx.nn` but also with pure
+:mod:`mlx.core` functions. A typical example involves calling
+:meth:`Optimizer.update` to update a model's parameters based on the loss
+gradients and subsequently calling :func:`mlx.core.eval` to evaluate both the
+model's parameters and the **optimizer state**.
+
+.. code-block:: python
+
+    # Create a model
+    model = MLP(num_layers, train_images.shape[-1], hidden_dim, num_classes)
+    mx.eval(model.parameters())
+
+    # Create the gradient function and the optimizer
+    loss_and_grad_fn = nn.value_and_grad(model, loss_fn)
+    optimizer = optim.SGD(learning_rate=learning_rate)
+
+    for e in range(num_epochs):
+        for X, y in batch_iterate(batch_size, train_images, train_labels):
+            loss, grads = loss_and_grad_fn(model, X, y)
+
+            # Update the model with the gradients. So far no computation has happened.
+            optimizer.update(model, grads)
+
+            # Compute the new parameters but also the optimizer state.
+            mx.eval(model.parameters(), optimizer.state)
+
+.. currentmodule:: mlx.optimizers
+
+.. autosummary::
+   :toctree: _autosummary
+   :template: optimizers-template.rst
+
+   OptimizerState
+   Optimizer
+   SGD
+   Adam
diff --git a/docs/build/html/_sources/python/random.rst.txt b/docs/build/html/_sources/python/random.rst.txt
new file mode 100644
index 000000000..8ac3eaa11
--- /dev/null
+++ b/docs/build/html/_sources/python/random.rst.txt
@@ -0,0 +1,45 @@
+.. _random:
+
+Random
+======
+
+Random sampling functions in MLX use an implicit global PRNG state by default.
+However, all function take an optional ``key`` keyword argument for when more
+fine-grained control or explicit state management is needed.
+
+For example, you can generate random numbers with:
+
+.. code-block:: python
+
+  for _ in range(3):
+    print(mx.random.uniform())
+
+which will print a sequence of unique pseudo random numbers. Alternatively you
+can explicitly set the key:
+
+.. code-block:: python
+
+  key = mx.random.key(0)
+  for _ in range(3):
+    print(mx.random.uniform(key=key))
+
+which will yield the same pseudo random number at each iteration.
+
+Following `JAX's PRNG design <https://jax.readthedocs.io/en/latest/jep/263-prng.html>`_
+we use a splittable version of Threefry, which is a counter-based PRNG.
+
+.. currentmodule:: mlx.core.random
+
+.. autosummary:: 
+  :toctree: _autosummary
+
+   seed
+   key
+   split
+   bernoulli
+   categorical
+   gumbel
+   normal
+   randint
+   uniform
+   truncated_normal
diff --git a/docs/build/html/_sources/python/transforms.rst.txt b/docs/build/html/_sources/python/transforms.rst.txt
new file mode 100644
index 000000000..cc8d681d5
--- /dev/null
+++ b/docs/build/html/_sources/python/transforms.rst.txt
@@ -0,0 +1,16 @@
+.. _transforms:
+
+Transforms
+==========
+
+.. currentmodule:: mlx.core
+
+.. autosummary::
+  :toctree: _autosummary
+
+   eval
+   grad
+   value_and_grad
+   jvp
+   vjp
+   vmap
diff --git a/docs/build/html/_sources/python/tree_utils.rst.txt b/docs/build/html/_sources/python/tree_utils.rst.txt
new file mode 100644
index 000000000..84d5afa9b
--- /dev/null
+++ b/docs/build/html/_sources/python/tree_utils.rst.txt
@@ -0,0 +1,21 @@
+.. _utils:
+
+Tree Utils
+==========
+
+In MLX we consider a python tree to be an arbitrarily nested collection of
+dictionaries, lists and tuples without cycles. Functions in this module that
+return python trees will be using the default python ``dict``, ``list`` and
+``tuple`` but they can usually process objects that inherit from any of these.
+
+.. note::
+   Dictionaries should have keys that are valid python identifiers.
+
+.. currentmodule:: mlx.utils
+
+.. autosummary:: 
+  :toctree: _autosummary
+
+   tree_flatten
+   tree_unflatten
+   tree_map
diff --git a/docs/build/html/_sources/quick_start.rst.txt b/docs/build/html/_sources/quick_start.rst.txt
new file mode 100644
index 000000000..c3e2b678b
--- /dev/null
+++ b/docs/build/html/_sources/quick_start.rst.txt
@@ -0,0 +1,93 @@
+Quick Start Guide
+=================
+
+MLX is a NumPy-like array framework designed for efficient and flexible
+machine learning on Apple silicon. The Python API closely follows NumPy with
+a few exceptions. MLX also has a fully featured C++ API which closely follows
+the Python API.
+
+The main differences between MLX and NumPy are: 
+
+ - **Composable function transformations**: MLX has composable function
+   transformations for automatic differentiation, automatic vectorization,
+   and computation graph optimization.
+ - **Lazy computation**: Computations in MLX are lazy. Arrays are only
+   materialized when needed.
+ - **Multi-device**: Operations can run on any of the suppoorted devices (CPU,
+   GPU, ...) 
+
+The design of MLX is strongly inspired by frameworks like `PyTorch
+<https://pytorch.org/>`_, `Jax <https://github.com/google/jax>`_, and
+`ArrayFire <https://arrayfire.org/>`_. A noteable difference from these
+frameworks and MLX is the *unified memory model*. Arrays in MLX live in shared
+memory. Operations on MLX arrays can be performed on any of the supported
+device types without performing data copies. Currently supported device types
+are the CPU and GPU.
+
+Basics
+------
+
+.. currentmodule:: mlx.core
+
+Import ``mlx.core`` and make an :class:`array`:
+
+.. code-block:: python
+
+  >> import mlx.core as mx
+  >> a = mx.array([1, 2, 3, 4])
+  >> a.shape
+  [4]
+  >> a.dtype
+  int32
+  >> b = mx.array([1.0, 2.0, 3.0, 4.0])
+  >> b.dtype
+  float32
+
+Operations in MLX are lazy. The outputs of MLX operations are not computed
+until they are needed. To force an array to be evaluated use
+:func:`eval`.  Arrays will automatically be evaluated in a few cases. For
+example, inspecting a scalar with :meth:`array.item`, printing an array,
+or converting an array from :class:`array` to :class:`numpy.ndarray` all
+automatically evaluate the array.
+
+.. code-block:: python
+
+  >> c = a + b    # c not yet evaluated
+  >> mx.eval(c)  # evaluates c
+  >> c = a + b
+  >> print(c)     # Also evaluates c
+  array([2, 4, 6, 8], dtype=float32)
+  >> c = a + b
+  >> import numpy as np
+  >> np.array(c)   # Also evaluates c
+  array([2., 4., 6., 8.], dtype=float32)
+
+Function and Graph Transformations
+----------------------------------
+
+MLX has standard function transformations like :func:`grad` and :func:`vmap`.
+Transformations can be composed arbitrarily. For example
+``grad(vmap(grad(fn)))`` (or any other composition) is allowed.
+
+.. code-block:: python
+
+  >> x = mx.array(0.0)
+  >> mx.sin(x)
+  array(0, dtype=float32)
+  >> mx.grad(mx.sin)(x)
+  array(1, dtype=float32)
+  >> mx.grad(mx.grad(mx.sin))(x)
+  array(-0, dtype=float32)
+
+Other gradient transformations include :func:`vjp` for vector-Jacobian products
+and :func:`jvp` for Jacobian-vector products.
+
+Use :func:`value_and_grad` to efficiently compute both a function's output and
+gradient with respect to the function's input. 
+
+
+Devices and Streams 
+-------------------
+
+
+
diff --git a/docs/build/html/_sources/using_streams.rst.txt b/docs/build/html/_sources/using_streams.rst.txt
new file mode 100644
index 000000000..7b42e8d4b
--- /dev/null
+++ b/docs/build/html/_sources/using_streams.rst.txt
@@ -0,0 +1,16 @@
+Using Streams
+=============
+
+.. currentmodule:: mlx.core
+
+Specifying the :obj:`Stream`
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+All operations (including random number generation) take an optional
+keyword argument ``stream``. The ``stream`` kwarg specifies which
+:obj:`Stream` the operation should run on. If the stream is unspecified then
+the operation is run on the default stream of the default device:
+``mx.default_stream(mx.default_device())``.  The ``stream`` kwarg can also
+be a :obj:`Device` (e.g. ``stream=my_device``) in which case the operation is
+run on the default stream of the provided device
+``mx.default_stream(my_device)``.
diff --git a/docs/build/html/_static/_sphinx_javascript_frameworks_compat.js b/docs/build/html/_static/_sphinx_javascript_frameworks_compat.js
new file mode 100644
index 000000000..8549469dc
--- /dev/null
+++ b/docs/build/html/_static/_sphinx_javascript_frameworks_compat.js
@@ -0,0 +1,134 @@
+/*
+ * _sphinx_javascript_frameworks_compat.js
+ * ~~~~~~~~~~
+ *
+ * Compatability shim for jQuery and underscores.js.
+ *
+ * WILL BE REMOVED IN Sphinx 6.0
+ * xref RemovedInSphinx60Warning
+ *
+ */
+
+/**
+ * select a different prefix for underscore
+ */
+$u = _.noConflict();
+
+
+/**
+ * small helper function to urldecode strings
+ *
+ * See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/decodeURIComponent#Decoding_query_parameters_from_a_URL
+ */
+jQuery.urldecode = function(x) {
+    if (!x) {
+        return x
+    }
+    return decodeURIComponent(x.replace(/\+/g, ' '));
+};
+
+/**
+ * small helper function to urlencode strings
+ */
+jQuery.urlencode = encodeURIComponent;
+
+/**
+ * This function returns the parsed url parameters of the
+ * current request. Multiple values per key are supported,
+ * it will always return arrays of strings for the value parts.
+ */
+jQuery.getQueryParameters = function(s) {
+    if (typeof s === 'undefined')
+        s = document.location.search;
+    var parts = s.substr(s.indexOf('?') + 1).split('&');
+    var result = {};
+    for (var i = 0; i < parts.length; i++) {
+        var tmp = parts[i].split('=', 2);
+        var key = jQuery.urldecode(tmp[0]);
+        var value = jQuery.urldecode(tmp[1]);
+        if (key in result)
+            result[key].push(value);
+        else
+            result[key] = [value];
+    }
+    return result;
+};
+
+/**
+ * highlight a given string on a jquery object by wrapping it in
+ * span elements with the given class name.
+ */
+jQuery.fn.highlightText = function(text, className) {
+    function highlight(node, addItems) {
+        if (node.nodeType === 3) {
+            var val = node.nodeValue;
+            var pos = val.toLowerCase().indexOf(text);
+            if (pos >= 0 &&
+                !jQuery(node.parentNode).hasClass(className) &&
+                !jQuery(node.parentNode).hasClass("nohighlight")) {
+                var span;
+                var isInSVG = jQuery(node).closest("body, svg, foreignObject").is("svg");
+                if (isInSVG) {
+                    span = document.createElementNS("http://www.w3.org/2000/svg", "tspan");
+                } else {
+                    span = document.createElement("span");
+                    span.className = className;
+                }
+                span.appendChild(document.createTextNode(val.substr(pos, text.length)));
+                node.parentNode.insertBefore(span, node.parentNode.insertBefore(
+                    document.createTextNode(val.substr(pos + text.length)),
+                    node.nextSibling));
+                node.nodeValue = val.substr(0, pos);
+                if (isInSVG) {
+                    var rect = document.createElementNS("http://www.w3.org/2000/svg", "rect");
+                    var bbox = node.parentElement.getBBox();
+                    rect.x.baseVal.value = bbox.x;
+                    rect.y.baseVal.value = bbox.y;
+                    rect.width.baseVal.value = bbox.width;
+                    rect.height.baseVal.value = bbox.height;
+                    rect.setAttribute('class', className);
+                    addItems.push({
+                        "parent": node.parentNode,
+                        "target": rect});
+                }
+            }
+        }
+        else if (!jQuery(node).is("button, select, textarea")) {
+            jQuery.each(node.childNodes, function() {
+                highlight(this, addItems);
+            });
+        }
+    }
+    var addItems = [];
+    var result = this.each(function() {
+        highlight(this, addItems);
+    });
+    for (var i = 0; i < addItems.length; ++i) {
+        jQuery(addItems[i].parent).before(addItems[i].target);
+    }
+    return result;
+};
+
+/*
+ * backward compatibility for jQuery.browser
+ * This will be supported until firefox bug is fixed.
+ */
+if (!jQuery.browser) {
+    jQuery.uaMatch = function(ua) {
+        ua = ua.toLowerCase();
+
+        var match = /(chrome)[ \/]([\w.]+)/.exec(ua) ||
+            /(webkit)[ \/]([\w.]+)/.exec(ua) ||
+            /(opera)(?:.*version|)[ \/]([\w.]+)/.exec(ua) ||
+            /(msie) ([\w.]+)/.exec(ua) ||
+            ua.indexOf("compatible") < 0 && /(mozilla)(?:.*? rv:([\w.]+)|)/.exec(ua) ||
+            [];
+
+        return {
+            browser: match[ 1 ] || "",
+            version: match[ 2 ] || "0"
+        };
+    };
+    jQuery.browser = {};
+    jQuery.browser[jQuery.uaMatch(navigator.userAgent).browser] = true;
+}
diff --git a/docs/build/html/_static/basic.css b/docs/build/html/_static/basic.css
new file mode 100644
index 000000000..088967717
--- /dev/null
+++ b/docs/build/html/_static/basic.css
@@ -0,0 +1,930 @@
+/*
+ * basic.css
+ * ~~~~~~~~~
+ *
+ * Sphinx stylesheet -- basic theme.
+ *
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
+ * :license: BSD, see LICENSE for details.
+ *
+ */
+
+/* -- main layout ----------------------------------------------------------- */
+
+div.clearer {
+    clear: both;
+}
+
+div.section::after {
+    display: block;
+    content: '';
+    clear: left;
+}
+
+/* -- relbar ---------------------------------------------------------------- */
+
+div.related {
+    width: 100%;
+    font-size: 90%;
+}
+
+div.related h3 {
+    display: none;
+}
+
+div.related ul {
+    margin: 0;
+    padding: 0 0 0 10px;
+    list-style: none;
+}
+
+div.related li {
+    display: inline;
+}
+
+div.related li.right {
+    float: right;
+    margin-right: 5px;
+}
+
+/* -- sidebar --------------------------------------------------------------- */
+
+div.sphinxsidebarwrapper {
+    padding: 10px 5px 0 10px;
+}
+
+div.sphinxsidebar {
+    float: left;
+    width: 230px;
+    margin-left: -100%;
+    font-size: 90%;
+    word-wrap: break-word;
+    overflow-wrap : break-word;
+}
+
+div.sphinxsidebar ul {
+    list-style: none;
+}
+
+div.sphinxsidebar ul ul,
+div.sphinxsidebar ul.want-points {
+    margin-left: 20px;
+    list-style: square;
+}
+
+div.sphinxsidebar ul ul {
+    margin-top: 0;
+    margin-bottom: 0;
+}
+
+div.sphinxsidebar form {
+    margin-top: 10px;
+}
+
+div.sphinxsidebar input {
+    border: 1px solid #98dbcc;
+    font-family: sans-serif;
+    font-size: 1em;
+}
+
+div.sphinxsidebar #searchbox form.search {
+    overflow: hidden;
+}
+
+div.sphinxsidebar #searchbox input[type="text"] {
+    float: left;
+    width: 80%;
+    padding: 0.25em;
+    box-sizing: border-box;
+}
+
+div.sphinxsidebar #searchbox input[type="submit"] {
+    float: left;
+    width: 20%;
+    border-left: none;
+    padding: 0.25em;
+    box-sizing: border-box;
+}
+
+
+img {
+    border: 0;
+    max-width: 100%;
+}
+
+/* -- search page ----------------------------------------------------------- */
+
+ul.search {
+    margin: 10px 0 0 20px;
+    padding: 0;
+}
+
+ul.search li {
+    padding: 5px 0 5px 20px;
+    background-image: url(file.png);
+    background-repeat: no-repeat;
+    background-position: 0 7px;
+}
+
+ul.search li a {
+    font-weight: bold;
+}
+
+ul.search li p.context {
+    color: #888;
+    margin: 2px 0 0 30px;
+    text-align: left;
+}
+
+ul.keywordmatches li.goodmatch a {
+    font-weight: bold;
+}
+
+/* -- index page ------------------------------------------------------------ */
+
+table.contentstable {
+    width: 90%;
+    margin-left: auto;
+    margin-right: auto;
+}
+
+table.contentstable p.biglink {
+    line-height: 150%;
+}
+
+a.biglink {
+    font-size: 1.3em;
+}
+
+span.linkdescr {
+    font-style: italic;
+    padding-top: 5px;
+    font-size: 90%;
+}
+
+/* -- general index --------------------------------------------------------- */
+
+table.indextable {
+    width: 100%;
+}
+
+table.indextable td {
+    text-align: left;
+    vertical-align: top;
+}
+
+table.indextable ul {
+    margin-top: 0;
+    margin-bottom: 0;
+    list-style-type: none;
+}
+
+table.indextable > tbody > tr > td > ul {
+    padding-left: 0em;
+}
+
+table.indextable tr.pcap {
+    height: 10px;
+}
+
+table.indextable tr.cap {
+    margin-top: 10px;
+    background-color: #f2f2f2;
+}
+
+img.toggler {
+    margin-right: 3px;
+    margin-top: 3px;
+    cursor: pointer;
+}
+
+div.modindex-jumpbox {
+    border-top: 1px solid #ddd;
+    border-bottom: 1px solid #ddd;
+    margin: 1em 0 1em 0;
+    padding: 0.4em;
+}
+
+div.genindex-jumpbox {
+    border-top: 1px solid #ddd;
+    border-bottom: 1px solid #ddd;
+    margin: 1em 0 1em 0;
+    padding: 0.4em;
+}
+
+/* -- domain module index --------------------------------------------------- */
+
+table.modindextable td {
+    padding: 2px;
+    border-collapse: collapse;
+}
+
+/* -- general body styles --------------------------------------------------- */
+
+div.body {
+    min-width: 360px;
+    max-width: 800px;
+}
+
+div.body p, div.body dd, div.body li, div.body blockquote {
+    -moz-hyphens: auto;
+    -ms-hyphens: auto;
+    -webkit-hyphens: auto;
+    hyphens: auto;
+}
+
+a.headerlink {
+    visibility: hidden;
+}
+
+h1:hover > a.headerlink,
+h2:hover > a.headerlink,
+h3:hover > a.headerlink,
+h4:hover > a.headerlink,
+h5:hover > a.headerlink,
+h6:hover > a.headerlink,
+dt:hover > a.headerlink,
+caption:hover > a.headerlink,
+p.caption:hover > a.headerlink,
+div.code-block-caption:hover > a.headerlink {
+    visibility: visible;
+}
+
+div.body p.caption {
+    text-align: inherit;
+}
+
+div.body td {
+    text-align: left;
+}
+
+.first {
+    margin-top: 0 !important;
+}
+
+p.rubric {
+    margin-top: 30px;
+    font-weight: bold;
+}
+
+img.align-left, figure.align-left, .figure.align-left, object.align-left {
+    clear: left;
+    float: left;
+    margin-right: 1em;
+}
+
+img.align-right, figure.align-right, .figure.align-right, object.align-right {
+    clear: right;
+    float: right;
+    margin-left: 1em;
+}
+
+img.align-center, figure.align-center, .figure.align-center, object.align-center {
+  display: block;
+  margin-left: auto;
+  margin-right: auto;
+}
+
+img.align-default, figure.align-default, .figure.align-default {
+  display: block;
+  margin-left: auto;
+  margin-right: auto;
+}
+
+.align-left {
+    text-align: left;
+}
+
+.align-center {
+    text-align: center;
+}
+
+.align-default {
+    text-align: center;
+}
+
+.align-right {
+    text-align: right;
+}
+
+/* -- sidebars -------------------------------------------------------------- */
+
+div.sidebar,
+aside.sidebar {
+    margin: 0 0 0.5em 1em;
+    border: 1px solid #ddb;
+    padding: 7px;
+    background-color: #ffe;
+    width: 40%;
+    float: right;
+    clear: right;
+    overflow-x: auto;
+}
+
+p.sidebar-title {
+    font-weight: bold;
+}
+nav.contents,
+aside.topic,
+
+div.admonition, div.topic, blockquote {
+    clear: left;
+}
+
+/* -- topics ---------------------------------------------------------------- */
+nav.contents,
+aside.topic,
+
+div.topic {
+    border: 1px solid #ccc;
+    padding: 7px;
+    margin: 10px 0 10px 0;
+}
+
+p.topic-title {
+    font-size: 1.1em;
+    font-weight: bold;
+    margin-top: 10px;
+}
+
+/* -- admonitions ----------------------------------------------------------- */
+
+div.admonition {
+    margin-top: 10px;
+    margin-bottom: 10px;
+    padding: 7px;
+}
+
+div.admonition dt {
+    font-weight: bold;
+}
+
+p.admonition-title {
+    margin: 0px 10px 5px 0px;
+    font-weight: bold;
+}
+
+div.body p.centered {
+    text-align: center;
+    margin-top: 25px;
+}
+
+/* -- content of sidebars/topics/admonitions -------------------------------- */
+
+div.sidebar > :last-child,
+aside.sidebar > :last-child,
+nav.contents > :last-child,
+aside.topic > :last-child,
+
+div.topic > :last-child,
+div.admonition > :last-child {
+    margin-bottom: 0;
+}
+
+div.sidebar::after,
+aside.sidebar::after,
+nav.contents::after,
+aside.topic::after,
+
+div.topic::after,
+div.admonition::after,
+blockquote::after {
+    display: block;
+    content: '';
+    clear: both;
+}
+
+/* -- tables ---------------------------------------------------------------- */
+
+table.docutils {
+    margin-top: 10px;
+    margin-bottom: 10px;
+    border: 0;
+    border-collapse: collapse;
+}
+
+table.align-center {
+    margin-left: auto;
+    margin-right: auto;
+}
+
+table.align-default {
+    margin-left: auto;
+    margin-right: auto;
+}
+
+table caption span.caption-number {
+    font-style: italic;
+}
+
+table caption span.caption-text {
+}
+
+table.docutils td, table.docutils th {
+    padding: 1px 8px 1px 5px;
+    border-top: 0;
+    border-left: 0;
+    border-right: 0;
+    border-bottom: 1px solid #aaa;
+}
+
+th {
+    text-align: left;
+    padding-right: 5px;
+}
+
+table.citation {
+    border-left: solid 1px gray;
+    margin-left: 1px;
+}
+
+table.citation td {
+    border-bottom: none;
+}
+
+th > :first-child,
+td > :first-child {
+    margin-top: 0px;
+}
+
+th > :last-child,
+td > :last-child {
+    margin-bottom: 0px;
+}
+
+/* -- figures --------------------------------------------------------------- */
+
+div.figure, figure {
+    margin: 0.5em;
+    padding: 0.5em;
+}
+
+div.figure p.caption, figcaption {
+    padding: 0.3em;
+}
+
+div.figure p.caption span.caption-number,
+figcaption span.caption-number {
+    font-style: italic;
+}
+
+div.figure p.caption span.caption-text,
+figcaption span.caption-text {
+}
+
+/* -- field list styles ----------------------------------------------------- */
+
+table.field-list td, table.field-list th {
+    border: 0 !important;
+}
+
+.field-list ul {
+    margin: 0;
+    padding-left: 1em;
+}
+
+.field-list p {
+    margin: 0;
+}
+
+.field-name {
+    -moz-hyphens: manual;
+    -ms-hyphens: manual;
+    -webkit-hyphens: manual;
+    hyphens: manual;
+}
+
+/* -- hlist styles ---------------------------------------------------------- */
+
+table.hlist {
+    margin: 1em 0;
+}
+
+table.hlist td {
+    vertical-align: top;
+}
+
+/* -- object description styles --------------------------------------------- */
+
+.sig {
+	font-family: 'Consolas', 'Menlo', 'DejaVu Sans Mono', 'Bitstream Vera Sans Mono', monospace;
+}
+
+.sig-name, code.descname {
+    background-color: transparent;
+    font-weight: bold;
+}
+
+.sig-name {
+	font-size: 1.1em;
+}
+
+code.descname {
+    font-size: 1.2em;
+}
+
+.sig-prename, code.descclassname {
+    background-color: transparent;
+}
+
+.optional {
+    font-size: 1.3em;
+}
+
+.sig-paren {
+    font-size: larger;
+}
+
+.sig-param.n {
+	font-style: italic;
+}
+
+/* C++ specific styling */
+
+.sig-inline.c-texpr,
+.sig-inline.cpp-texpr {
+	font-family: unset;
+}
+
+.sig.c   .k, .sig.c   .kt,
+.sig.cpp .k, .sig.cpp .kt {
+	color: #0033B3;
+}
+
+.sig.c   .m,
+.sig.cpp .m {
+	color: #1750EB;
+}
+
+.sig.c   .s, .sig.c   .sc,
+.sig.cpp .s, .sig.cpp .sc {
+	color: #067D17;
+}
+
+
+/* -- other body styles ----------------------------------------------------- */
+
+ol.arabic {
+    list-style: decimal;
+}
+
+ol.loweralpha {
+    list-style: lower-alpha;
+}
+
+ol.upperalpha {
+    list-style: upper-alpha;
+}
+
+ol.lowerroman {
+    list-style: lower-roman;
+}
+
+ol.upperroman {
+    list-style: upper-roman;
+}
+
+:not(li) > ol > li:first-child > :first-child,
+:not(li) > ul > li:first-child > :first-child {
+    margin-top: 0px;
+}
+
+:not(li) > ol > li:last-child > :last-child,
+:not(li) > ul > li:last-child > :last-child {
+    margin-bottom: 0px;
+}
+
+ol.simple ol p,
+ol.simple ul p,
+ul.simple ol p,
+ul.simple ul p {
+    margin-top: 0;
+}
+
+ol.simple > li:not(:first-child) > p,
+ul.simple > li:not(:first-child) > p {
+    margin-top: 0;
+}
+
+ol.simple p,
+ul.simple p {
+    margin-bottom: 0;
+}
+
+/* Docutils 0.17 and older (footnotes & citations) */
+dl.footnote > dt,
+dl.citation > dt {
+    float: left;
+    margin-right: 0.5em;
+}
+
+dl.footnote > dd,
+dl.citation > dd {
+    margin-bottom: 0em;
+}
+
+dl.footnote > dd:after,
+dl.citation > dd:after {
+    content: "";
+    clear: both;
+}
+
+/* Docutils 0.18+ (footnotes & citations) */
+aside.footnote > span,
+div.citation > span {
+    float: left;
+}
+aside.footnote > span:last-of-type,
+div.citation > span:last-of-type {
+  padding-right: 0.5em;
+}
+aside.footnote > p {
+  margin-left: 2em;
+}
+div.citation > p {
+  margin-left: 4em;
+}
+aside.footnote > p:last-of-type,
+div.citation > p:last-of-type {
+    margin-bottom: 0em;
+}
+aside.footnote > p:last-of-type:after,
+div.citation > p:last-of-type:after {
+    content: "";
+    clear: both;
+}
+
+/* Footnotes & citations ends */
+
+dl.field-list {
+    display: grid;
+    grid-template-columns: fit-content(30%) auto;
+}
+
+dl.field-list > dt {
+    font-weight: bold;
+    word-break: break-word;
+    padding-left: 0.5em;
+    padding-right: 5px;
+}
+
+dl.field-list > dt:after {
+    content: ":";
+}
+
+dl.field-list > dd {
+    padding-left: 0.5em;
+    margin-top: 0em;
+    margin-left: 0em;
+    margin-bottom: 0em;
+}
+
+dl {
+    margin-bottom: 15px;
+}
+
+dd > :first-child {
+    margin-top: 0px;
+}
+
+dd ul, dd table {
+    margin-bottom: 10px;
+}
+
+dd {
+    margin-top: 3px;
+    margin-bottom: 10px;
+    margin-left: 30px;
+}
+
+dl > dd:last-child,
+dl > dd:last-child > :last-child {
+    margin-bottom: 0;
+}
+
+dt:target, span.highlighted {
+    background-color: #fbe54e;
+}
+
+rect.highlighted {
+    fill: #fbe54e;
+}
+
+dl.glossary dt {
+    font-weight: bold;
+    font-size: 1.1em;
+}
+
+.versionmodified {
+    font-style: italic;
+}
+
+.system-message {
+    background-color: #fda;
+    padding: 5px;
+    border: 3px solid red;
+}
+
+.footnote:target  {
+    background-color: #ffa;
+}
+
+.line-block {
+    display: block;
+    margin-top: 1em;
+    margin-bottom: 1em;
+}
+
+.line-block .line-block {
+    margin-top: 0;
+    margin-bottom: 0;
+    margin-left: 1.5em;
+}
+
+.guilabel, .menuselection {
+    font-family: sans-serif;
+}
+
+.accelerator {
+    text-decoration: underline;
+}
+
+.classifier {
+    font-style: oblique;
+}
+
+.classifier:before {
+    font-style: normal;
+    margin: 0 0.5em;
+    content: ":";
+    display: inline-block;
+}
+
+abbr, acronym {
+    border-bottom: dotted 1px;
+    cursor: help;
+}
+
+/* -- code displays --------------------------------------------------------- */
+
+pre {
+    overflow: auto;
+    overflow-y: hidden;  /* fixes display issues on Chrome browsers */
+}
+
+pre, div[class*="highlight-"] {
+    clear: both;
+}
+
+span.pre {
+    -moz-hyphens: none;
+    -ms-hyphens: none;
+    -webkit-hyphens: none;
+    hyphens: none;
+    white-space: nowrap;
+}
+
+div[class*="highlight-"] {
+    margin: 1em 0;
+}
+
+td.linenos pre {
+    border: 0;
+    background-color: transparent;
+    color: #aaa;
+}
+
+table.highlighttable {
+    display: block;
+}
+
+table.highlighttable tbody {
+    display: block;
+}
+
+table.highlighttable tr {
+    display: flex;
+}
+
+table.highlighttable td {
+    margin: 0;
+    padding: 0;
+}
+
+table.highlighttable td.linenos {
+    padding-right: 0.5em;
+}
+
+table.highlighttable td.code {
+    flex: 1;
+    overflow: hidden;
+}
+
+.highlight .hll {
+    display: block;
+}
+
+div.highlight pre,
+table.highlighttable pre {
+    margin: 0;
+}
+
+div.code-block-caption + div {
+    margin-top: 0;
+}
+
+div.code-block-caption {
+    margin-top: 1em;
+    padding: 2px 5px;
+    font-size: small;
+}
+
+div.code-block-caption code {
+    background-color: transparent;
+}
+
+table.highlighttable td.linenos,
+span.linenos,
+div.highlight span.gp {  /* gp: Generic.Prompt */
+  user-select: none;
+  -webkit-user-select: text; /* Safari fallback only */
+  -webkit-user-select: none; /* Chrome/Safari */
+  -moz-user-select: none; /* Firefox */
+  -ms-user-select: none; /* IE10+ */
+}
+
+div.code-block-caption span.caption-number {
+    padding: 0.1em 0.3em;
+    font-style: italic;
+}
+
+div.code-block-caption span.caption-text {
+}
+
+div.literal-block-wrapper {
+    margin: 1em 0;
+}
+
+code.xref, a code {
+    background-color: transparent;
+    font-weight: bold;
+}
+
+h1 code, h2 code, h3 code, h4 code, h5 code, h6 code {
+    background-color: transparent;
+}
+
+.viewcode-link {
+    float: right;
+}
+
+.viewcode-back {
+    float: right;
+    font-family: sans-serif;
+}
+
+div.viewcode-block:target {
+    margin: -1px -10px;
+    padding: 0 10px;
+}
+
+/* -- math display ---------------------------------------------------------- */
+
+img.math {
+    vertical-align: middle;
+}
+
+div.body div.math p {
+    text-align: center;
+}
+
+span.eqno {
+    float: right;
+}
+
+span.eqno a.headerlink {
+    position: absolute;
+    z-index: 1;
+}
+
+div.math:hover a.headerlink {
+    visibility: visible;
+}
+
+/* -- printout stylesheet --------------------------------------------------- */
+
+@media print {
+    div.document,
+    div.documentwrapper,
+    div.bodywrapper {
+        margin: 0 !important;
+        width: 100%;
+    }
+
+    div.sphinxsidebar,
+    div.related,
+    div.footer,
+    #top-link {
+        display: none;
+    }
+}
\ No newline at end of file
diff --git a/docs/build/html/_static/css/badge_only.css b/docs/build/html/_static/css/badge_only.css
new file mode 100644
index 000000000..c718cee44
--- /dev/null
+++ b/docs/build/html/_static/css/badge_only.css
@@ -0,0 +1 @@
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--- /dev/null
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diff --git a/docs/build/html/_static/css/fonts/fontawesome-webfont.woff2 b/docs/build/html/_static/css/fonts/fontawesome-webfont.woff2
new file mode 100644
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diff --git a/docs/build/html/_static/css/fonts/lato-bold-italic.woff b/docs/build/html/_static/css/fonts/lato-bold-italic.woff
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dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.citation):not(.glossary):not(.simple) .k{font-style:italic}html.writer-html4 .rst-content dl:not(.docutils) .descclassname,html.writer-html4 .rst-content dl:not(.docutils) .descname,html.writer-html4 .rst-content dl:not(.docutils) .sig-name,html.writer-html5 .rst-content dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.citation):not(.glossary):not(.simple) .descclassname,html.writer-html5 .rst-content dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.citation):not(.glossary):not(.simple) .descname,html.writer-html5 .rst-content dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.citation):not(.glossary):not(.simple) .sig-name{font-family:SFMono-Regular,Menlo,Monaco,Consolas,Liberation Mono,Courier New,Courier,monospace;color:#000}.rst-content .viewcode-back,.rst-content .viewcode-link{display:inline-block;color:#27ae60;font-size:80%;padding-left:24px}.rst-content .viewcode-back{display:block;float:right}.rst-content p.rubric{margin-bottom:12px;font-weight:700}.rst-content code.download,.rst-content tt.download{background:inherit;padding:inherit;font-weight:400;font-family:inherit;font-size:inherit;color:inherit;border:inherit;white-space:inherit}.rst-content code.download span:first-child,.rst-content tt.download span:first-child{-webkit-font-smoothing:subpixel-antialiased}.rst-content code.download span:first-child:before,.rst-content tt.download span:first-child:before{margin-right:4px}.rst-content .guilabel,.rst-content .menuselection{font-size:80%;font-weight:700;border-radius:4px;padding:2.4px 6px;margin:auto 2px}.rst-content .guilabel,.rst-content .menuselection{border:1px solid #7fbbe3;background:#e7f2fa}.rst-content :not(dl.option-list)>:not(dt):not(kbd):not(.kbd)>.kbd,.rst-content :not(dl.option-list)>:not(dt):not(kbd):not(.kbd)>kbd{color:inherit;font-size:80%;background-color:#fff;border:1px solid #a6a6a6;border-radius:4px;box-shadow:0 2px grey;padding:2.4px 6px;margin:auto 0}.rst-content .versionmodified{font-style:italic}@media screen and (max-width:480px){.rst-content .sidebar{width:100%}}span[id*=MathJax-Span]{color:#404040}.math{text-align:center}@font-face{font-family:Lato;src:url(fonts/lato-normal.woff2?bd03a2cc277bbbc338d464e679fe9942) format("woff2"),url(fonts/lato-normal.woff?27bd77b9162d388cb8d4c4217c7c5e2a) format("woff");font-weight:400;font-style:normal;font-display:block}@font-face{font-family:Lato;src:url(fonts/lato-bold.woff2?cccb897485813c7c256901dbca54ecf2) format("woff2"),url(fonts/lato-bold.woff?d878b6c29b10beca227e9eef4246111b) format("woff");font-weight:700;font-style:normal;font-display:block}@font-face{font-family:Lato;src:url(fonts/lato-bold-italic.woff2?0b6bb6725576b072c5d0b02ecdd1900d) format("woff2"),url(fonts/lato-bold-italic.woff?9c7e4e9eb485b4a121c760e61bc3707c) format("woff");font-weight:700;font-style:italic;font-display:block}@font-face{font-family:Lato;src:url(fonts/lato-normal-italic.woff2?4eb103b4d12be57cb1d040ed5e162e9d) format("woff2"),url(fonts/lato-normal-italic.woff?f28f2d6482446544ef1ea1ccc6dd5892) format("woff");font-weight:400;font-style:italic;font-display:block}@font-face{font-family:Roboto Slab;font-style:normal;font-weight:400;src:url(fonts/Roboto-Slab-Regular.woff2?7abf5b8d04d26a2cafea937019bca958) format("woff2"),url(fonts/Roboto-Slab-Regular.woff?c1be9284088d487c5e3ff0a10a92e58c) format("woff");font-display:block}@font-face{font-family:Roboto Slab;font-style:normal;font-weight:700;src:url(fonts/Roboto-Slab-Bold.woff2?9984f4a9bda09be08e83f2506954adbe) format("woff2"),url(fonts/Roboto-Slab-Bold.woff?bed5564a116b05148e3b3bea6fb1162a) format("woff");font-display:block}
\ No newline at end of file
diff --git a/docs/build/html/_static/doctools.js b/docs/build/html/_static/doctools.js
new file mode 100644
index 000000000..c3db08d1c
--- /dev/null
+++ b/docs/build/html/_static/doctools.js
@@ -0,0 +1,264 @@
+/*
+ * doctools.js
+ * ~~~~~~~~~~~
+ *
+ * Base JavaScript utilities for all Sphinx HTML documentation.
+ *
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
+ * :license: BSD, see LICENSE for details.
+ *
+ */
+"use strict";
+
+const _ready = (callback) => {
+  if (document.readyState !== "loading") {
+    callback();
+  } else {
+    document.addEventListener("DOMContentLoaded", callback);
+  }
+};
+
+/**
+ * highlight a given string on a node by wrapping it in
+ * span elements with the given class name.
+ */
+const _highlight = (node, addItems, text, className) => {
+  if (node.nodeType === Node.TEXT_NODE) {
+    const val = node.nodeValue;
+    const parent = node.parentNode;
+    const pos = val.toLowerCase().indexOf(text);
+    if (
+      pos >= 0 &&
+      !parent.classList.contains(className) &&
+      !parent.classList.contains("nohighlight")
+    ) {
+      let span;
+
+      const closestNode = parent.closest("body, svg, foreignObject");
+      const isInSVG = closestNode && closestNode.matches("svg");
+      if (isInSVG) {
+        span = document.createElementNS("http://www.w3.org/2000/svg", "tspan");
+      } else {
+        span = document.createElement("span");
+        span.classList.add(className);
+      }
+
+      span.appendChild(document.createTextNode(val.substr(pos, text.length)));
+      parent.insertBefore(
+        span,
+        parent.insertBefore(
+          document.createTextNode(val.substr(pos + text.length)),
+          node.nextSibling
+        )
+      );
+      node.nodeValue = val.substr(0, pos);
+
+      if (isInSVG) {
+        const rect = document.createElementNS(
+          "http://www.w3.org/2000/svg",
+          "rect"
+        );
+        const bbox = parent.getBBox();
+        rect.x.baseVal.value = bbox.x;
+        rect.y.baseVal.value = bbox.y;
+        rect.width.baseVal.value = bbox.width;
+        rect.height.baseVal.value = bbox.height;
+        rect.setAttribute("class", className);
+        addItems.push({ parent: parent, target: rect });
+      }
+    }
+  } else if (node.matches && !node.matches("button, select, textarea")) {
+    node.childNodes.forEach((el) => _highlight(el, addItems, text, className));
+  }
+};
+const _highlightText = (thisNode, text, className) => {
+  let addItems = [];
+  _highlight(thisNode, addItems, text, className);
+  addItems.forEach((obj) =>
+    obj.parent.insertAdjacentElement("beforebegin", obj.target)
+  );
+};
+
+/**
+ * Small JavaScript module for the documentation.
+ */
+const Documentation = {
+  init: () => {
+    Documentation.highlightSearchWords();
+    Documentation.initDomainIndexTable();
+    Documentation.initOnKeyListeners();
+  },
+
+  /**
+   * i18n support
+   */
+  TRANSLATIONS: {},
+  PLURAL_EXPR: (n) => (n === 1 ? 0 : 1),
+  LOCALE: "unknown",
+
+  // gettext and ngettext don't access this so that the functions
+  // can safely bound to a different name (_ = Documentation.gettext)
+  gettext: (string) => {
+    const translated = Documentation.TRANSLATIONS[string];
+    switch (typeof translated) {
+      case "undefined":
+        return string; // no translation
+      case "string":
+        return translated; // translation exists
+      default:
+        return translated[0]; // (singular, plural) translation tuple exists
+    }
+  },
+
+  ngettext: (singular, plural, n) => {
+    const translated = Documentation.TRANSLATIONS[singular];
+    if (typeof translated !== "undefined")
+      return translated[Documentation.PLURAL_EXPR(n)];
+    return n === 1 ? singular : plural;
+  },
+
+  addTranslations: (catalog) => {
+    Object.assign(Documentation.TRANSLATIONS, catalog.messages);
+    Documentation.PLURAL_EXPR = new Function(
+      "n",
+      `return (${catalog.plural_expr})`
+    );
+    Documentation.LOCALE = catalog.locale;
+  },
+
+  /**
+   * highlight the search words provided in the url in the text
+   */
+  highlightSearchWords: () => {
+    const highlight =
+      new URLSearchParams(window.location.search).get("highlight") || "";
+    const terms = highlight.toLowerCase().split(/\s+/).filter(x => x);
+    if (terms.length === 0) return; // nothing to do
+
+    // There should never be more than one element matching "div.body"
+    const divBody = document.querySelectorAll("div.body");
+    const body = divBody.length ? divBody[0] : document.querySelector("body");
+    window.setTimeout(() => {
+      terms.forEach((term) => _highlightText(body, term, "highlighted"));
+    }, 10);
+
+    const searchBox = document.getElementById("searchbox");
+    if (searchBox === null) return;
+    searchBox.appendChild(
+      document
+        .createRange()
+        .createContextualFragment(
+          '<p class="highlight-link">' +
+            '<a href="javascript:Documentation.hideSearchWords()">' +
+            Documentation.gettext("Hide Search Matches") +
+            "</a></p>"
+        )
+    );
+  },
+
+  /**
+   * helper function to hide the search marks again
+   */
+  hideSearchWords: () => {
+    document
+      .querySelectorAll("#searchbox .highlight-link")
+      .forEach((el) => el.remove());
+    document
+      .querySelectorAll("span.highlighted")
+      .forEach((el) => el.classList.remove("highlighted"));
+    const url = new URL(window.location);
+    url.searchParams.delete("highlight");
+    window.history.replaceState({}, "", url);
+  },
+
+  /**
+   * helper function to focus on search bar
+   */
+  focusSearchBar: () => {
+    document.querySelectorAll("input[name=q]")[0]?.focus();
+  },
+
+  /**
+   * Initialise the domain index toggle buttons
+   */
+  initDomainIndexTable: () => {
+    const toggler = (el) => {
+      const idNumber = el.id.substr(7);
+      const toggledRows = document.querySelectorAll(`tr.cg-${idNumber}`);
+      if (el.src.substr(-9) === "minus.png") {
+        el.src = `${el.src.substr(0, el.src.length - 9)}plus.png`;
+        toggledRows.forEach((el) => (el.style.display = "none"));
+      } else {
+        el.src = `${el.src.substr(0, el.src.length - 8)}minus.png`;
+        toggledRows.forEach((el) => (el.style.display = ""));
+      }
+    };
+
+    const togglerElements = document.querySelectorAll("img.toggler");
+    togglerElements.forEach((el) =>
+      el.addEventListener("click", (event) => toggler(event.currentTarget))
+    );
+    togglerElements.forEach((el) => (el.style.display = ""));
+    if (DOCUMENTATION_OPTIONS.COLLAPSE_INDEX) togglerElements.forEach(toggler);
+  },
+
+  initOnKeyListeners: () => {
+    // only install a listener if it is really needed
+    if (
+      !DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS &&
+      !DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS
+    )
+      return;
+
+    const blacklistedElements = new Set([
+      "TEXTAREA",
+      "INPUT",
+      "SELECT",
+      "BUTTON",
+    ]);
+    document.addEventListener("keydown", (event) => {
+      if (blacklistedElements.has(document.activeElement.tagName)) return; // bail for input elements
+      if (event.altKey || event.ctrlKey || event.metaKey) return; // bail with special keys
+
+      if (!event.shiftKey) {
+        switch (event.key) {
+          case "ArrowLeft":
+            if (!DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS) break;
+
+            const prevLink = document.querySelector('link[rel="prev"]');
+            if (prevLink && prevLink.href) {
+              window.location.href = prevLink.href;
+              event.preventDefault();
+            }
+            break;
+          case "ArrowRight":
+            if (!DOCUMENTATION_OPTIONS.NAVIGATION_WITH_KEYS) break;
+
+            const nextLink = document.querySelector('link[rel="next"]');
+            if (nextLink && nextLink.href) {
+              window.location.href = nextLink.href;
+              event.preventDefault();
+            }
+            break;
+          case "Escape":
+            if (!DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS) break;
+            Documentation.hideSearchWords();
+            event.preventDefault();
+        }
+      }
+
+      // some keyboard layouts may need Shift to get /
+      switch (event.key) {
+        case "/":
+          if (!DOCUMENTATION_OPTIONS.ENABLE_SEARCH_SHORTCUTS) break;
+          Documentation.focusSearchBar();
+          event.preventDefault();
+      }
+    });
+  },
+};
+
+// quick alias for translations
+const _ = Documentation.gettext;
+
+_ready(Documentation.init);
diff --git a/docs/build/html/_static/documentation_options.js b/docs/build/html/_static/documentation_options.js
new file mode 100644
index 000000000..b8457d918
--- /dev/null
+++ b/docs/build/html/_static/documentation_options.js
@@ -0,0 +1,14 @@
+var DOCUMENTATION_OPTIONS = {
+    URL_ROOT: document.getElementById("documentation_options").getAttribute('data-url_root'),
+    VERSION: '0.0.0',
+    LANGUAGE: 'en',
+    COLLAPSE_INDEX: false,
+    BUILDER: 'html',
+    FILE_SUFFIX: '.html',
+    LINK_SUFFIX: '.html',
+    HAS_SOURCE: true,
+    SOURCELINK_SUFFIX: '.txt',
+    NAVIGATION_WITH_KEYS: false,
+    SHOW_SEARCH_SUMMARY: true,
+    ENABLE_SEARCH_SHORTCUTS: false,
+};
\ No newline at end of file
diff --git a/docs/build/html/_static/file.png b/docs/build/html/_static/file.png
new file mode 100644
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diff --git a/docs/build/html/_static/jquery-3.6.0.js b/docs/build/html/_static/jquery-3.6.0.js
new file mode 100644
index 000000000..fc6c299b7
--- /dev/null
+++ b/docs/build/html/_static/jquery-3.6.0.js
@@ -0,0 +1,10881 @@
+/*!
+ * jQuery JavaScript Library v3.6.0
+ * https://jquery.com/
+ *
+ * Includes Sizzle.js
+ * https://sizzlejs.com/
+ *
+ * Copyright OpenJS Foundation and other contributors
+ * Released under the MIT license
+ * https://jquery.org/license
+ *
+ * Date: 2021-03-02T17:08Z
+ */
+( function( global, factory ) {
+
+	"use strict";
+
+	if ( typeof module === "object" && typeof module.exports === "object" ) {
+
+		// For CommonJS and CommonJS-like environments where a proper `window`
+		// is present, execute the factory and get jQuery.
+		// For environments that do not have a `window` with a `document`
+		// (such as Node.js), expose a factory as module.exports.
+		// This accentuates the need for the creation of a real `window`.
+		// e.g. var jQuery = require("jquery")(window);
+		// See ticket #14549 for more info.
+		module.exports = global.document ?
+			factory( global, true ) :
+			function( w ) {
+				if ( !w.document ) {
+					throw new Error( "jQuery requires a window with a document" );
+				}
+				return factory( w );
+			};
+	} else {
+		factory( global );
+	}
+
+// Pass this if window is not defined yet
+} )( typeof window !== "undefined" ? window : this, function( window, noGlobal ) {
+
+// Edge <= 12 - 13+, Firefox <=18 - 45+, IE 10 - 11, Safari 5.1 - 9+, iOS 6 - 9.1
+// throw exceptions when non-strict code (e.g., ASP.NET 4.5) accesses strict mode
+// arguments.callee.caller (trac-13335). But as of jQuery 3.0 (2016), strict mode should be common
+// enough that all such attempts are guarded in a try block.
+"use strict";
+
+var arr = [];
+
+var getProto = Object.getPrototypeOf;
+
+var slice = arr.slice;
+
+var flat = arr.flat ? function( array ) {
+	return arr.flat.call( array );
+} : function( array ) {
+	return arr.concat.apply( [], array );
+};
+
+
+var push = arr.push;
+
+var indexOf = arr.indexOf;
+
+var class2type = {};
+
+var toString = class2type.toString;
+
+var hasOwn = class2type.hasOwnProperty;
+
+var fnToString = hasOwn.toString;
+
+var ObjectFunctionString = fnToString.call( Object );
+
+var support = {};
+
+var isFunction = function isFunction( obj ) {
+
+		// Support: Chrome <=57, Firefox <=52
+		// In some browsers, typeof returns "function" for HTML <object> elements
+		// (i.e., `typeof document.createElement( "object" ) === "function"`).
+		// We don't want to classify *any* DOM node as a function.
+		// Support: QtWeb <=3.8.5, WebKit <=534.34, wkhtmltopdf tool <=0.12.5
+		// Plus for old WebKit, typeof returns "function" for HTML collections
+		// (e.g., `typeof document.getElementsByTagName("div") === "function"`). (gh-4756)
+		return typeof obj === "function" && typeof obj.nodeType !== "number" &&
+			typeof obj.item !== "function";
+	};
+
+
+var isWindow = function isWindow( obj ) {
+		return obj != null && obj === obj.window;
+	};
+
+
+var document = window.document;
+
+
+
+	var preservedScriptAttributes = {
+		type: true,
+		src: true,
+		nonce: true,
+		noModule: true
+	};
+
+	function DOMEval( code, node, doc ) {
+		doc = doc || document;
+
+		var i, val,
+			script = doc.createElement( "script" );
+
+		script.text = code;
+		if ( node ) {
+			for ( i in preservedScriptAttributes ) {
+
+				// Support: Firefox 64+, Edge 18+
+				// Some browsers don't support the "nonce" property on scripts.
+				// On the other hand, just using `getAttribute` is not enough as
+				// the `nonce` attribute is reset to an empty string whenever it
+				// becomes browsing-context connected.
+				// See https://github.com/whatwg/html/issues/2369
+				// See https://html.spec.whatwg.org/#nonce-attributes
+				// The `node.getAttribute` check was added for the sake of
+				// `jQuery.globalEval` so that it can fake a nonce-containing node
+				// via an object.
+				val = node[ i ] || node.getAttribute && node.getAttribute( i );
+				if ( val ) {
+					script.setAttribute( i, val );
+				}
+			}
+		}
+		doc.head.appendChild( script ).parentNode.removeChild( script );
+	}
+
+
+function toType( obj ) {
+	if ( obj == null ) {
+		return obj + "";
+	}
+
+	// Support: Android <=2.3 only (functionish RegExp)
+	return typeof obj === "object" || typeof obj === "function" ?
+		class2type[ toString.call( obj ) ] || "object" :
+		typeof obj;
+}
+/* global Symbol */
+// Defining this global in .eslintrc.json would create a danger of using the global
+// unguarded in another place, it seems safer to define global only for this module
+
+
+
+var
+	version = "3.6.0",
+
+	// Define a local copy of jQuery
+	jQuery = function( selector, context ) {
+
+		// The jQuery object is actually just the init constructor 'enhanced'
+		// Need init if jQuery is called (just allow error to be thrown if not included)
+		return new jQuery.fn.init( selector, context );
+	};
+
+jQuery.fn = jQuery.prototype = {
+
+	// The current version of jQuery being used
+	jquery: version,
+
+	constructor: jQuery,
+
+	// The default length of a jQuery object is 0
+	length: 0,
+
+	toArray: function() {
+		return slice.call( this );
+	},
+
+	// Get the Nth element in the matched element set OR
+	// Get the whole matched element set as a clean array
+	get: function( num ) {
+
+		// Return all the elements in a clean array
+		if ( num == null ) {
+			return slice.call( this );
+		}
+
+		// Return just the one element from the set
+		return num < 0 ? this[ num + this.length ] : this[ num ];
+	},
+
+	// Take an array of elements and push it onto the stack
+	// (returning the new matched element set)
+	pushStack: function( elems ) {
+
+		// Build a new jQuery matched element set
+		var ret = jQuery.merge( this.constructor(), elems );
+
+		// Add the old object onto the stack (as a reference)
+		ret.prevObject = this;
+
+		// Return the newly-formed element set
+		return ret;
+	},
+
+	// Execute a callback for every element in the matched set.
+	each: function( callback ) {
+		return jQuery.each( this, callback );
+	},
+
+	map: function( callback ) {
+		return this.pushStack( jQuery.map( this, function( elem, i ) {
+			return callback.call( elem, i, elem );
+		} ) );
+	},
+
+	slice: function() {
+		return this.pushStack( slice.apply( this, arguments ) );
+	},
+
+	first: function() {
+		return this.eq( 0 );
+	},
+
+	last: function() {
+		return this.eq( -1 );
+	},
+
+	even: function() {
+		return this.pushStack( jQuery.grep( this, function( _elem, i ) {
+			return ( i + 1 ) % 2;
+		} ) );
+	},
+
+	odd: function() {
+		return this.pushStack( jQuery.grep( this, function( _elem, i ) {
+			return i % 2;
+		} ) );
+	},
+
+	eq: function( i ) {
+		var len = this.length,
+			j = +i + ( i < 0 ? len : 0 );
+		return this.pushStack( j >= 0 && j < len ? [ this[ j ] ] : [] );
+	},
+
+	end: function() {
+		return this.prevObject || this.constructor();
+	},
+
+	// For internal use only.
+	// Behaves like an Array's method, not like a jQuery method.
+	push: push,
+	sort: arr.sort,
+	splice: arr.splice
+};
+
+jQuery.extend = jQuery.fn.extend = function() {
+	var options, name, src, copy, copyIsArray, clone,
+		target = arguments[ 0 ] || {},
+		i = 1,
+		length = arguments.length,
+		deep = false;
+
+	// Handle a deep copy situation
+	if ( typeof target === "boolean" ) {
+		deep = target;
+
+		// Skip the boolean and the target
+		target = arguments[ i ] || {};
+		i++;
+	}
+
+	// Handle case when target is a string or something (possible in deep copy)
+	if ( typeof target !== "object" && !isFunction( target ) ) {
+		target = {};
+	}
+
+	// Extend jQuery itself if only one argument is passed
+	if ( i === length ) {
+		target = this;
+		i--;
+	}
+
+	for ( ; i < length; i++ ) {
+
+		// Only deal with non-null/undefined values
+		if ( ( options = arguments[ i ] ) != null ) {
+
+			// Extend the base object
+			for ( name in options ) {
+				copy = options[ name ];
+
+				// Prevent Object.prototype pollution
+				// Prevent never-ending loop
+				if ( name === "__proto__" || target === copy ) {
+					continue;
+				}
+
+				// Recurse if we're merging plain objects or arrays
+				if ( deep && copy && ( jQuery.isPlainObject( copy ) ||
+					( copyIsArray = Array.isArray( copy ) ) ) ) {
+					src = target[ name ];
+
+					// Ensure proper type for the source value
+					if ( copyIsArray && !Array.isArray( src ) ) {
+						clone = [];
+					} else if ( !copyIsArray && !jQuery.isPlainObject( src ) ) {
+						clone = {};
+					} else {
+						clone = src;
+					}
+					copyIsArray = false;
+
+					// Never move original objects, clone them
+					target[ name ] = jQuery.extend( deep, clone, copy );
+
+				// Don't bring in undefined values
+				} else if ( copy !== undefined ) {
+					target[ name ] = copy;
+				}
+			}
+		}
+	}
+
+	// Return the modified object
+	return target;
+};
+
+jQuery.extend( {
+
+	// Unique for each copy of jQuery on the page
+	expando: "jQuery" + ( version + Math.random() ).replace( /\D/g, "" ),
+
+	// Assume jQuery is ready without the ready module
+	isReady: true,
+
+	error: function( msg ) {
+		throw new Error( msg );
+	},
+
+	noop: function() {},
+
+	isPlainObject: function( obj ) {
+		var proto, Ctor;
+
+		// Detect obvious negatives
+		// Use toString instead of jQuery.type to catch host objects
+		if ( !obj || toString.call( obj ) !== "[object Object]" ) {
+			return false;
+		}
+
+		proto = getProto( obj );
+
+		// Objects with no prototype (e.g., `Object.create( null )`) are plain
+		if ( !proto ) {
+			return true;
+		}
+
+		// Objects with prototype are plain iff they were constructed by a global Object function
+		Ctor = hasOwn.call( proto, "constructor" ) && proto.constructor;
+		return typeof Ctor === "function" && fnToString.call( Ctor ) === ObjectFunctionString;
+	},
+
+	isEmptyObject: function( obj ) {
+		var name;
+
+		for ( name in obj ) {
+			return false;
+		}
+		return true;
+	},
+
+	// Evaluates a script in a provided context; falls back to the global one
+	// if not specified.
+	globalEval: function( code, options, doc ) {
+		DOMEval( code, { nonce: options && options.nonce }, doc );
+	},
+
+	each: function( obj, callback ) {
+		var length, i = 0;
+
+		if ( isArrayLike( obj ) ) {
+			length = obj.length;
+			for ( ; i < length; i++ ) {
+				if ( callback.call( obj[ i ], i, obj[ i ] ) === false ) {
+					break;
+				}
+			}
+		} else {
+			for ( i in obj ) {
+				if ( callback.call( obj[ i ], i, obj[ i ] ) === false ) {
+					break;
+				}
+			}
+		}
+
+		return obj;
+	},
+
+	// results is for internal usage only
+	makeArray: function( arr, results ) {
+		var ret = results || [];
+
+		if ( arr != null ) {
+			if ( isArrayLike( Object( arr ) ) ) {
+				jQuery.merge( ret,
+					typeof arr === "string" ?
+						[ arr ] : arr
+				);
+			} else {
+				push.call( ret, arr );
+			}
+		}
+
+		return ret;
+	},
+
+	inArray: function( elem, arr, i ) {
+		return arr == null ? -1 : indexOf.call( arr, elem, i );
+	},
+
+	// Support: Android <=4.0 only, PhantomJS 1 only
+	// push.apply(_, arraylike) throws on ancient WebKit
+	merge: function( first, second ) {
+		var len = +second.length,
+			j = 0,
+			i = first.length;
+
+		for ( ; j < len; j++ ) {
+			first[ i++ ] = second[ j ];
+		}
+
+		first.length = i;
+
+		return first;
+	},
+
+	grep: function( elems, callback, invert ) {
+		var callbackInverse,
+			matches = [],
+			i = 0,
+			length = elems.length,
+			callbackExpect = !invert;
+
+		// Go through the array, only saving the items
+		// that pass the validator function
+		for ( ; i < length; i++ ) {
+			callbackInverse = !callback( elems[ i ], i );
+			if ( callbackInverse !== callbackExpect ) {
+				matches.push( elems[ i ] );
+			}
+		}
+
+		return matches;
+	},
+
+	// arg is for internal usage only
+	map: function( elems, callback, arg ) {
+		var length, value,
+			i = 0,
+			ret = [];
+
+		// Go through the array, translating each of the items to their new values
+		if ( isArrayLike( elems ) ) {
+			length = elems.length;
+			for ( ; i < length; i++ ) {
+				value = callback( elems[ i ], i, arg );
+
+				if ( value != null ) {
+					ret.push( value );
+				}
+			}
+
+		// Go through every key on the object,
+		} else {
+			for ( i in elems ) {
+				value = callback( elems[ i ], i, arg );
+
+				if ( value != null ) {
+					ret.push( value );
+				}
+			}
+		}
+
+		// Flatten any nested arrays
+		return flat( ret );
+	},
+
+	// A global GUID counter for objects
+	guid: 1,
+
+	// jQuery.support is not used in Core but other projects attach their
+	// properties to it so it needs to exist.
+	support: support
+} );
+
+if ( typeof Symbol === "function" ) {
+	jQuery.fn[ Symbol.iterator ] = arr[ Symbol.iterator ];
+}
+
+// Populate the class2type map
+jQuery.each( "Boolean Number String Function Array Date RegExp Object Error Symbol".split( " " ),
+	function( _i, name ) {
+		class2type[ "[object " + name + "]" ] = name.toLowerCase();
+	} );
+
+function isArrayLike( obj ) {
+
+	// Support: real iOS 8.2 only (not reproducible in simulator)
+	// `in` check used to prevent JIT error (gh-2145)
+	// hasOwn isn't used here due to false negatives
+	// regarding Nodelist length in IE
+	var length = !!obj && "length" in obj && obj.length,
+		type = toType( obj );
+
+	if ( isFunction( obj ) || isWindow( obj ) ) {
+		return false;
+	}
+
+	return type === "array" || length === 0 ||
+		typeof length === "number" && length > 0 && ( length - 1 ) in obj;
+}
+var Sizzle =
+/*!
+ * Sizzle CSS Selector Engine v2.3.6
+ * https://sizzlejs.com/
+ *
+ * Copyright JS Foundation and other contributors
+ * Released under the MIT license
+ * https://js.foundation/
+ *
+ * Date: 2021-02-16
+ */
+( function( window ) {
+var i,
+	support,
+	Expr,
+	getText,
+	isXML,
+	tokenize,
+	compile,
+	select,
+	outermostContext,
+	sortInput,
+	hasDuplicate,
+
+	// Local document vars
+	setDocument,
+	document,
+	docElem,
+	documentIsHTML,
+	rbuggyQSA,
+	rbuggyMatches,
+	matches,
+	contains,
+
+	// Instance-specific data
+	expando = "sizzle" + 1 * new Date(),
+	preferredDoc = window.document,
+	dirruns = 0,
+	done = 0,
+	classCache = createCache(),
+	tokenCache = createCache(),
+	compilerCache = createCache(),
+	nonnativeSelectorCache = createCache(),
+	sortOrder = function( a, b ) {
+		if ( a === b ) {
+			hasDuplicate = true;
+		}
+		return 0;
+	},
+
+	// Instance methods
+	hasOwn = ( {} ).hasOwnProperty,
+	arr = [],
+	pop = arr.pop,
+	pushNative = arr.push,
+	push = arr.push,
+	slice = arr.slice,
+
+	// Use a stripped-down indexOf as it's faster than native
+	// https://jsperf.com/thor-indexof-vs-for/5
+	indexOf = function( list, elem ) {
+		var i = 0,
+			len = list.length;
+		for ( ; i < len; i++ ) {
+			if ( list[ i ] === elem ) {
+				return i;
+			}
+		}
+		return -1;
+	},
+
+	booleans = "checked|selected|async|autofocus|autoplay|controls|defer|disabled|hidden|" +
+		"ismap|loop|multiple|open|readonly|required|scoped",
+
+	// Regular expressions
+
+	// http://www.w3.org/TR/css3-selectors/#whitespace
+	whitespace = "[\\x20\\t\\r\\n\\f]",
+
+	// https://www.w3.org/TR/css-syntax-3/#ident-token-diagram
+	identifier = "(?:\\\\[\\da-fA-F]{1,6}" + whitespace +
+		"?|\\\\[^\\r\\n\\f]|[\\w-]|[^\0-\\x7f])+",
+
+	// Attribute selectors: http://www.w3.org/TR/selectors/#attribute-selectors
+	attributes = "\\[" + whitespace + "*(" + identifier + ")(?:" + whitespace +
+
+		// Operator (capture 2)
+		"*([*^$|!~]?=)" + whitespace +
+
+		// "Attribute values must be CSS identifiers [capture 5]
+		// or strings [capture 3 or capture 4]"
+		"*(?:'((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\"|(" + identifier + "))|)" +
+		whitespace + "*\\]",
+
+	pseudos = ":(" + identifier + ")(?:\\((" +
+
+		// To reduce the number of selectors needing tokenize in the preFilter, prefer arguments:
+		// 1. quoted (capture 3; capture 4 or capture 5)
+		"('((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\")|" +
+
+		// 2. simple (capture 6)
+		"((?:\\\\.|[^\\\\()[\\]]|" + attributes + ")*)|" +
+
+		// 3. anything else (capture 2)
+		".*" +
+		")\\)|)",
+
+	// Leading and non-escaped trailing whitespace, capturing some non-whitespace characters preceding the latter
+	rwhitespace = new RegExp( whitespace + "+", "g" ),
+	rtrim = new RegExp( "^" + whitespace + "+|((?:^|[^\\\\])(?:\\\\.)*)" +
+		whitespace + "+$", "g" ),
+
+	rcomma = new RegExp( "^" + whitespace + "*," + whitespace + "*" ),
+	rcombinators = new RegExp( "^" + whitespace + "*([>+~]|" + whitespace + ")" + whitespace +
+		"*" ),
+	rdescend = new RegExp( whitespace + "|>" ),
+
+	rpseudo = new RegExp( pseudos ),
+	ridentifier = new RegExp( "^" + identifier + "$" ),
+
+	matchExpr = {
+		"ID": new RegExp( "^#(" + identifier + ")" ),
+		"CLASS": new RegExp( "^\\.(" + identifier + ")" ),
+		"TAG": new RegExp( "^(" + identifier + "|[*])" ),
+		"ATTR": new RegExp( "^" + attributes ),
+		"PSEUDO": new RegExp( "^" + pseudos ),
+		"CHILD": new RegExp( "^:(only|first|last|nth|nth-last)-(child|of-type)(?:\\(" +
+			whitespace + "*(even|odd|(([+-]|)(\\d*)n|)" + whitespace + "*(?:([+-]|)" +
+			whitespace + "*(\\d+)|))" + whitespace + "*\\)|)", "i" ),
+		"bool": new RegExp( "^(?:" + booleans + ")$", "i" ),
+
+		// For use in libraries implementing .is()
+		// We use this for POS matching in `select`
+		"needsContext": new RegExp( "^" + whitespace +
+			"*[>+~]|:(even|odd|eq|gt|lt|nth|first|last)(?:\\(" + whitespace +
+			"*((?:-\\d)?\\d*)" + whitespace + "*\\)|)(?=[^-]|$)", "i" )
+	},
+
+	rhtml = /HTML$/i,
+	rinputs = /^(?:input|select|textarea|button)$/i,
+	rheader = /^h\d$/i,
+
+	rnative = /^[^{]+\{\s*\[native \w/,
+
+	// Easily-parseable/retrievable ID or TAG or CLASS selectors
+	rquickExpr = /^(?:#([\w-]+)|(\w+)|\.([\w-]+))$/,
+
+	rsibling = /[+~]/,
+
+	// CSS escapes
+	// http://www.w3.org/TR/CSS21/syndata.html#escaped-characters
+	runescape = new RegExp( "\\\\[\\da-fA-F]{1,6}" + whitespace + "?|\\\\([^\\r\\n\\f])", "g" ),
+	funescape = function( escape, nonHex ) {
+		var high = "0x" + escape.slice( 1 ) - 0x10000;
+
+		return nonHex ?
+
+			// Strip the backslash prefix from a non-hex escape sequence
+			nonHex :
+
+			// Replace a hexadecimal escape sequence with the encoded Unicode code point
+			// Support: IE <=11+
+			// For values outside the Basic Multilingual Plane (BMP), manually construct a
+			// surrogate pair
+			high < 0 ?
+				String.fromCharCode( high + 0x10000 ) :
+				String.fromCharCode( high >> 10 | 0xD800, high & 0x3FF | 0xDC00 );
+	},
+
+	// CSS string/identifier serialization
+	// https://drafts.csswg.org/cssom/#common-serializing-idioms
+	rcssescape = /([\0-\x1f\x7f]|^-?\d)|^-$|[^\0-\x1f\x7f-\uFFFF\w-]/g,
+	fcssescape = function( ch, asCodePoint ) {
+		if ( asCodePoint ) {
+
+			// U+0000 NULL becomes U+FFFD REPLACEMENT CHARACTER
+			if ( ch === "\0" ) {
+				return "\uFFFD";
+			}
+
+			// Control characters and (dependent upon position) numbers get escaped as code points
+			return ch.slice( 0, -1 ) + "\\" +
+				ch.charCodeAt( ch.length - 1 ).toString( 16 ) + " ";
+		}
+
+		// Other potentially-special ASCII characters get backslash-escaped
+		return "\\" + ch;
+	},
+
+	// Used for iframes
+	// See setDocument()
+	// Removing the function wrapper causes a "Permission Denied"
+	// error in IE
+	unloadHandler = function() {
+		setDocument();
+	},
+
+	inDisabledFieldset = addCombinator(
+		function( elem ) {
+			return elem.disabled === true && elem.nodeName.toLowerCase() === "fieldset";
+		},
+		{ dir: "parentNode", next: "legend" }
+	);
+
+// Optimize for push.apply( _, NodeList )
+try {
+	push.apply(
+		( arr = slice.call( preferredDoc.childNodes ) ),
+		preferredDoc.childNodes
+	);
+
+	// Support: Android<4.0
+	// Detect silently failing push.apply
+	// eslint-disable-next-line no-unused-expressions
+	arr[ preferredDoc.childNodes.length ].nodeType;
+} catch ( e ) {
+	push = { apply: arr.length ?
+
+		// Leverage slice if possible
+		function( target, els ) {
+			pushNative.apply( target, slice.call( els ) );
+		} :
+
+		// Support: IE<9
+		// Otherwise append directly
+		function( target, els ) {
+			var j = target.length,
+				i = 0;
+
+			// Can't trust NodeList.length
+			while ( ( target[ j++ ] = els[ i++ ] ) ) {}
+			target.length = j - 1;
+		}
+	};
+}
+
+function Sizzle( selector, context, results, seed ) {
+	var m, i, elem, nid, match, groups, newSelector,
+		newContext = context && context.ownerDocument,
+
+		// nodeType defaults to 9, since context defaults to document
+		nodeType = context ? context.nodeType : 9;
+
+	results = results || [];
+
+	// Return early from calls with invalid selector or context
+	if ( typeof selector !== "string" || !selector ||
+		nodeType !== 1 && nodeType !== 9 && nodeType !== 11 ) {
+
+		return results;
+	}
+
+	// Try to shortcut find operations (as opposed to filters) in HTML documents
+	if ( !seed ) {
+		setDocument( context );
+		context = context || document;
+
+		if ( documentIsHTML ) {
+
+			// If the selector is sufficiently simple, try using a "get*By*" DOM method
+			// (excepting DocumentFragment context, where the methods don't exist)
+			if ( nodeType !== 11 && ( match = rquickExpr.exec( selector ) ) ) {
+
+				// ID selector
+				if ( ( m = match[ 1 ] ) ) {
+
+					// Document context
+					if ( nodeType === 9 ) {
+						if ( ( elem = context.getElementById( m ) ) ) {
+
+							// Support: IE, Opera, Webkit
+							// TODO: identify versions
+							// getElementById can match elements by name instead of ID
+							if ( elem.id === m ) {
+								results.push( elem );
+								return results;
+							}
+						} else {
+							return results;
+						}
+
+					// Element context
+					} else {
+
+						// Support: IE, Opera, Webkit
+						// TODO: identify versions
+						// getElementById can match elements by name instead of ID
+						if ( newContext && ( elem = newContext.getElementById( m ) ) &&
+							contains( context, elem ) &&
+							elem.id === m ) {
+
+							results.push( elem );
+							return results;
+						}
+					}
+
+				// Type selector
+				} else if ( match[ 2 ] ) {
+					push.apply( results, context.getElementsByTagName( selector ) );
+					return results;
+
+				// Class selector
+				} else if ( ( m = match[ 3 ] ) && support.getElementsByClassName &&
+					context.getElementsByClassName ) {
+
+					push.apply( results, context.getElementsByClassName( m ) );
+					return results;
+				}
+			}
+
+			// Take advantage of querySelectorAll
+			if ( support.qsa &&
+				!nonnativeSelectorCache[ selector + " " ] &&
+				( !rbuggyQSA || !rbuggyQSA.test( selector ) ) &&
+
+				// Support: IE 8 only
+				// Exclude object elements
+				( nodeType !== 1 || context.nodeName.toLowerCase() !== "object" ) ) {
+
+				newSelector = selector;
+				newContext = context;
+
+				// qSA considers elements outside a scoping root when evaluating child or
+				// descendant combinators, which is not what we want.
+				// In such cases, we work around the behavior by prefixing every selector in the
+				// list with an ID selector referencing the scope context.
+				// The technique has to be used as well when a leading combinator is used
+				// as such selectors are not recognized by querySelectorAll.
+				// Thanks to Andrew Dupont for this technique.
+				if ( nodeType === 1 &&
+					( rdescend.test( selector ) || rcombinators.test( selector ) ) ) {
+
+					// Expand context for sibling selectors
+					newContext = rsibling.test( selector ) && testContext( context.parentNode ) ||
+						context;
+
+					// We can use :scope instead of the ID hack if the browser
+					// supports it & if we're not changing the context.
+					if ( newContext !== context || !support.scope ) {
+
+						// Capture the context ID, setting it first if necessary
+						if ( ( nid = context.getAttribute( "id" ) ) ) {
+							nid = nid.replace( rcssescape, fcssescape );
+						} else {
+							context.setAttribute( "id", ( nid = expando ) );
+						}
+					}
+
+					// Prefix every selector in the list
+					groups = tokenize( selector );
+					i = groups.length;
+					while ( i-- ) {
+						groups[ i ] = ( nid ? "#" + nid : ":scope" ) + " " +
+							toSelector( groups[ i ] );
+					}
+					newSelector = groups.join( "," );
+				}
+
+				try {
+					push.apply( results,
+						newContext.querySelectorAll( newSelector )
+					);
+					return results;
+				} catch ( qsaError ) {
+					nonnativeSelectorCache( selector, true );
+				} finally {
+					if ( nid === expando ) {
+						context.removeAttribute( "id" );
+					}
+				}
+			}
+		}
+	}
+
+	// All others
+	return select( selector.replace( rtrim, "$1" ), context, results, seed );
+}
+
+/**
+ * Create key-value caches of limited size
+ * @returns {function(string, object)} Returns the Object data after storing it on itself with
+ *	property name the (space-suffixed) string and (if the cache is larger than Expr.cacheLength)
+ *	deleting the oldest entry
+ */
+function createCache() {
+	var keys = [];
+
+	function cache( key, value ) {
+
+		// Use (key + " ") to avoid collision with native prototype properties (see Issue #157)
+		if ( keys.push( key + " " ) > Expr.cacheLength ) {
+
+			// Only keep the most recent entries
+			delete cache[ keys.shift() ];
+		}
+		return ( cache[ key + " " ] = value );
+	}
+	return cache;
+}
+
+/**
+ * Mark a function for special use by Sizzle
+ * @param {Function} fn The function to mark
+ */
+function markFunction( fn ) {
+	fn[ expando ] = true;
+	return fn;
+}
+
+/**
+ * Support testing using an element
+ * @param {Function} fn Passed the created element and returns a boolean result
+ */
+function assert( fn ) {
+	var el = document.createElement( "fieldset" );
+
+	try {
+		return !!fn( el );
+	} catch ( e ) {
+		return false;
+	} finally {
+
+		// Remove from its parent by default
+		if ( el.parentNode ) {
+			el.parentNode.removeChild( el );
+		}
+
+		// release memory in IE
+		el = null;
+	}
+}
+
+/**
+ * Adds the same handler for all of the specified attrs
+ * @param {String} attrs Pipe-separated list of attributes
+ * @param {Function} handler The method that will be applied
+ */
+function addHandle( attrs, handler ) {
+	var arr = attrs.split( "|" ),
+		i = arr.length;
+
+	while ( i-- ) {
+		Expr.attrHandle[ arr[ i ] ] = handler;
+	}
+}
+
+/**
+ * Checks document order of two siblings
+ * @param {Element} a
+ * @param {Element} b
+ * @returns {Number} Returns less than 0 if a precedes b, greater than 0 if a follows b
+ */
+function siblingCheck( a, b ) {
+	var cur = b && a,
+		diff = cur && a.nodeType === 1 && b.nodeType === 1 &&
+			a.sourceIndex - b.sourceIndex;
+
+	// Use IE sourceIndex if available on both nodes
+	if ( diff ) {
+		return diff;
+	}
+
+	// Check if b follows a
+	if ( cur ) {
+		while ( ( cur = cur.nextSibling ) ) {
+			if ( cur === b ) {
+				return -1;
+			}
+		}
+	}
+
+	return a ? 1 : -1;
+}
+
+/**
+ * Returns a function to use in pseudos for input types
+ * @param {String} type
+ */
+function createInputPseudo( type ) {
+	return function( elem ) {
+		var name = elem.nodeName.toLowerCase();
+		return name === "input" && elem.type === type;
+	};
+}
+
+/**
+ * Returns a function to use in pseudos for buttons
+ * @param {String} type
+ */
+function createButtonPseudo( type ) {
+	return function( elem ) {
+		var name = elem.nodeName.toLowerCase();
+		return ( name === "input" || name === "button" ) && elem.type === type;
+	};
+}
+
+/**
+ * Returns a function to use in pseudos for :enabled/:disabled
+ * @param {Boolean} disabled true for :disabled; false for :enabled
+ */
+function createDisabledPseudo( disabled ) {
+
+	// Known :disabled false positives: fieldset[disabled] > legend:nth-of-type(n+2) :can-disable
+	return function( elem ) {
+
+		// Only certain elements can match :enabled or :disabled
+		// https://html.spec.whatwg.org/multipage/scripting.html#selector-enabled
+		// https://html.spec.whatwg.org/multipage/scripting.html#selector-disabled
+		if ( "form" in elem ) {
+
+			// Check for inherited disabledness on relevant non-disabled elements:
+			// * listed form-associated elements in a disabled fieldset
+			//   https://html.spec.whatwg.org/multipage/forms.html#category-listed
+			//   https://html.spec.whatwg.org/multipage/forms.html#concept-fe-disabled
+			// * option elements in a disabled optgroup
+			//   https://html.spec.whatwg.org/multipage/forms.html#concept-option-disabled
+			// All such elements have a "form" property.
+			if ( elem.parentNode && elem.disabled === false ) {
+
+				// Option elements defer to a parent optgroup if present
+				if ( "label" in elem ) {
+					if ( "label" in elem.parentNode ) {
+						return elem.parentNode.disabled === disabled;
+					} else {
+						return elem.disabled === disabled;
+					}
+				}
+
+				// Support: IE 6 - 11
+				// Use the isDisabled shortcut property to check for disabled fieldset ancestors
+				return elem.isDisabled === disabled ||
+
+					// Where there is no isDisabled, check manually
+					/* jshint -W018 */
+					elem.isDisabled !== !disabled &&
+					inDisabledFieldset( elem ) === disabled;
+			}
+
+			return elem.disabled === disabled;
+
+		// Try to winnow out elements that can't be disabled before trusting the disabled property.
+		// Some victims get caught in our net (label, legend, menu, track), but it shouldn't
+		// even exist on them, let alone have a boolean value.
+		} else if ( "label" in elem ) {
+			return elem.disabled === disabled;
+		}
+
+		// Remaining elements are neither :enabled nor :disabled
+		return false;
+	};
+}
+
+/**
+ * Returns a function to use in pseudos for positionals
+ * @param {Function} fn
+ */
+function createPositionalPseudo( fn ) {
+	return markFunction( function( argument ) {
+		argument = +argument;
+		return markFunction( function( seed, matches ) {
+			var j,
+				matchIndexes = fn( [], seed.length, argument ),
+				i = matchIndexes.length;
+
+			// Match elements found at the specified indexes
+			while ( i-- ) {
+				if ( seed[ ( j = matchIndexes[ i ] ) ] ) {
+					seed[ j ] = !( matches[ j ] = seed[ j ] );
+				}
+			}
+		} );
+	} );
+}
+
+/**
+ * Checks a node for validity as a Sizzle context
+ * @param {Element|Object=} context
+ * @returns {Element|Object|Boolean} The input node if acceptable, otherwise a falsy value
+ */
+function testContext( context ) {
+	return context && typeof context.getElementsByTagName !== "undefined" && context;
+}
+
+// Expose support vars for convenience
+support = Sizzle.support = {};
+
+/**
+ * Detects XML nodes
+ * @param {Element|Object} elem An element or a document
+ * @returns {Boolean} True iff elem is a non-HTML XML node
+ */
+isXML = Sizzle.isXML = function( elem ) {
+	var namespace = elem && elem.namespaceURI,
+		docElem = elem && ( elem.ownerDocument || elem ).documentElement;
+
+	// Support: IE <=8
+	// Assume HTML when documentElement doesn't yet exist, such as inside loading iframes
+	// https://bugs.jquery.com/ticket/4833
+	return !rhtml.test( namespace || docElem && docElem.nodeName || "HTML" );
+};
+
+/**
+ * Sets document-related variables once based on the current document
+ * @param {Element|Object} [doc] An element or document object to use to set the document
+ * @returns {Object} Returns the current document
+ */
+setDocument = Sizzle.setDocument = function( node ) {
+	var hasCompare, subWindow,
+		doc = node ? node.ownerDocument || node : preferredDoc;
+
+	// Return early if doc is invalid or already selected
+	// Support: IE 11+, Edge 17 - 18+
+	// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+	// two documents; shallow comparisons work.
+	// eslint-disable-next-line eqeqeq
+	if ( doc == document || doc.nodeType !== 9 || !doc.documentElement ) {
+		return document;
+	}
+
+	// Update global variables
+	document = doc;
+	docElem = document.documentElement;
+	documentIsHTML = !isXML( document );
+
+	// Support: IE 9 - 11+, Edge 12 - 18+
+	// Accessing iframe documents after unload throws "permission denied" errors (jQuery #13936)
+	// Support: IE 11+, Edge 17 - 18+
+	// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+	// two documents; shallow comparisons work.
+	// eslint-disable-next-line eqeqeq
+	if ( preferredDoc != document &&
+		( subWindow = document.defaultView ) && subWindow.top !== subWindow ) {
+
+		// Support: IE 11, Edge
+		if ( subWindow.addEventListener ) {
+			subWindow.addEventListener( "unload", unloadHandler, false );
+
+		// Support: IE 9 - 10 only
+		} else if ( subWindow.attachEvent ) {
+			subWindow.attachEvent( "onunload", unloadHandler );
+		}
+	}
+
+	// Support: IE 8 - 11+, Edge 12 - 18+, Chrome <=16 - 25 only, Firefox <=3.6 - 31 only,
+	// Safari 4 - 5 only, Opera <=11.6 - 12.x only
+	// IE/Edge & older browsers don't support the :scope pseudo-class.
+	// Support: Safari 6.0 only
+	// Safari 6.0 supports :scope but it's an alias of :root there.
+	support.scope = assert( function( el ) {
+		docElem.appendChild( el ).appendChild( document.createElement( "div" ) );
+		return typeof el.querySelectorAll !== "undefined" &&
+			!el.querySelectorAll( ":scope fieldset div" ).length;
+	} );
+
+	/* Attributes
+	---------------------------------------------------------------------- */
+
+	// Support: IE<8
+	// Verify that getAttribute really returns attributes and not properties
+	// (excepting IE8 booleans)
+	support.attributes = assert( function( el ) {
+		el.className = "i";
+		return !el.getAttribute( "className" );
+	} );
+
+	/* getElement(s)By*
+	---------------------------------------------------------------------- */
+
+	// Check if getElementsByTagName("*") returns only elements
+	support.getElementsByTagName = assert( function( el ) {
+		el.appendChild( document.createComment( "" ) );
+		return !el.getElementsByTagName( "*" ).length;
+	} );
+
+	// Support: IE<9
+	support.getElementsByClassName = rnative.test( document.getElementsByClassName );
+
+	// Support: IE<10
+	// Check if getElementById returns elements by name
+	// The broken getElementById methods don't pick up programmatically-set names,
+	// so use a roundabout getElementsByName test
+	support.getById = assert( function( el ) {
+		docElem.appendChild( el ).id = expando;
+		return !document.getElementsByName || !document.getElementsByName( expando ).length;
+	} );
+
+	// ID filter and find
+	if ( support.getById ) {
+		Expr.filter[ "ID" ] = function( id ) {
+			var attrId = id.replace( runescape, funescape );
+			return function( elem ) {
+				return elem.getAttribute( "id" ) === attrId;
+			};
+		};
+		Expr.find[ "ID" ] = function( id, context ) {
+			if ( typeof context.getElementById !== "undefined" && documentIsHTML ) {
+				var elem = context.getElementById( id );
+				return elem ? [ elem ] : [];
+			}
+		};
+	} else {
+		Expr.filter[ "ID" ] =  function( id ) {
+			var attrId = id.replace( runescape, funescape );
+			return function( elem ) {
+				var node = typeof elem.getAttributeNode !== "undefined" &&
+					elem.getAttributeNode( "id" );
+				return node && node.value === attrId;
+			};
+		};
+
+		// Support: IE 6 - 7 only
+		// getElementById is not reliable as a find shortcut
+		Expr.find[ "ID" ] = function( id, context ) {
+			if ( typeof context.getElementById !== "undefined" && documentIsHTML ) {
+				var node, i, elems,
+					elem = context.getElementById( id );
+
+				if ( elem ) {
+
+					// Verify the id attribute
+					node = elem.getAttributeNode( "id" );
+					if ( node && node.value === id ) {
+						return [ elem ];
+					}
+
+					// Fall back on getElementsByName
+					elems = context.getElementsByName( id );
+					i = 0;
+					while ( ( elem = elems[ i++ ] ) ) {
+						node = elem.getAttributeNode( "id" );
+						if ( node && node.value === id ) {
+							return [ elem ];
+						}
+					}
+				}
+
+				return [];
+			}
+		};
+	}
+
+	// Tag
+	Expr.find[ "TAG" ] = support.getElementsByTagName ?
+		function( tag, context ) {
+			if ( typeof context.getElementsByTagName !== "undefined" ) {
+				return context.getElementsByTagName( tag );
+
+			// DocumentFragment nodes don't have gEBTN
+			} else if ( support.qsa ) {
+				return context.querySelectorAll( tag );
+			}
+		} :
+
+		function( tag, context ) {
+			var elem,
+				tmp = [],
+				i = 0,
+
+				// By happy coincidence, a (broken) gEBTN appears on DocumentFragment nodes too
+				results = context.getElementsByTagName( tag );
+
+			// Filter out possible comments
+			if ( tag === "*" ) {
+				while ( ( elem = results[ i++ ] ) ) {
+					if ( elem.nodeType === 1 ) {
+						tmp.push( elem );
+					}
+				}
+
+				return tmp;
+			}
+			return results;
+		};
+
+	// Class
+	Expr.find[ "CLASS" ] = support.getElementsByClassName && function( className, context ) {
+		if ( typeof context.getElementsByClassName !== "undefined" && documentIsHTML ) {
+			return context.getElementsByClassName( className );
+		}
+	};
+
+	/* QSA/matchesSelector
+	---------------------------------------------------------------------- */
+
+	// QSA and matchesSelector support
+
+	// matchesSelector(:active) reports false when true (IE9/Opera 11.5)
+	rbuggyMatches = [];
+
+	// qSa(:focus) reports false when true (Chrome 21)
+	// We allow this because of a bug in IE8/9 that throws an error
+	// whenever `document.activeElement` is accessed on an iframe
+	// So, we allow :focus to pass through QSA all the time to avoid the IE error
+	// See https://bugs.jquery.com/ticket/13378
+	rbuggyQSA = [];
+
+	if ( ( support.qsa = rnative.test( document.querySelectorAll ) ) ) {
+
+		// Build QSA regex
+		// Regex strategy adopted from Diego Perini
+		assert( function( el ) {
+
+			var input;
+
+			// Select is set to empty string on purpose
+			// This is to test IE's treatment of not explicitly
+			// setting a boolean content attribute,
+			// since its presence should be enough
+			// https://bugs.jquery.com/ticket/12359
+			docElem.appendChild( el ).innerHTML = "<a id='" + expando + "'></a>" +
+				"<select id='" + expando + "-\r\\' msallowcapture=''>" +
+				"<option selected=''></option></select>";
+
+			// Support: IE8, Opera 11-12.16
+			// Nothing should be selected when empty strings follow ^= or $= or *=
+			// The test attribute must be unknown in Opera but "safe" for WinRT
+			// https://msdn.microsoft.com/en-us/library/ie/hh465388.aspx#attribute_section
+			if ( el.querySelectorAll( "[msallowcapture^='']" ).length ) {
+				rbuggyQSA.push( "[*^$]=" + whitespace + "*(?:''|\"\")" );
+			}
+
+			// Support: IE8
+			// Boolean attributes and "value" are not treated correctly
+			if ( !el.querySelectorAll( "[selected]" ).length ) {
+				rbuggyQSA.push( "\\[" + whitespace + "*(?:value|" + booleans + ")" );
+			}
+
+			// Support: Chrome<29, Android<4.4, Safari<7.0+, iOS<7.0+, PhantomJS<1.9.8+
+			if ( !el.querySelectorAll( "[id~=" + expando + "-]" ).length ) {
+				rbuggyQSA.push( "~=" );
+			}
+
+			// Support: IE 11+, Edge 15 - 18+
+			// IE 11/Edge don't find elements on a `[name='']` query in some cases.
+			// Adding a temporary attribute to the document before the selection works
+			// around the issue.
+			// Interestingly, IE 10 & older don't seem to have the issue.
+			input = document.createElement( "input" );
+			input.setAttribute( "name", "" );
+			el.appendChild( input );
+			if ( !el.querySelectorAll( "[name='']" ).length ) {
+				rbuggyQSA.push( "\\[" + whitespace + "*name" + whitespace + "*=" +
+					whitespace + "*(?:''|\"\")" );
+			}
+
+			// Webkit/Opera - :checked should return selected option elements
+			// http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked
+			// IE8 throws error here and will not see later tests
+			if ( !el.querySelectorAll( ":checked" ).length ) {
+				rbuggyQSA.push( ":checked" );
+			}
+
+			// Support: Safari 8+, iOS 8+
+			// https://bugs.webkit.org/show_bug.cgi?id=136851
+			// In-page `selector#id sibling-combinator selector` fails
+			if ( !el.querySelectorAll( "a#" + expando + "+*" ).length ) {
+				rbuggyQSA.push( ".#.+[+~]" );
+			}
+
+			// Support: Firefox <=3.6 - 5 only
+			// Old Firefox doesn't throw on a badly-escaped identifier.
+			el.querySelectorAll( "\\\f" );
+			rbuggyQSA.push( "[\\r\\n\\f]" );
+		} );
+
+		assert( function( el ) {
+			el.innerHTML = "<a href='' disabled='disabled'></a>" +
+				"<select disabled='disabled'><option/></select>";
+
+			// Support: Windows 8 Native Apps
+			// The type and name attributes are restricted during .innerHTML assignment
+			var input = document.createElement( "input" );
+			input.setAttribute( "type", "hidden" );
+			el.appendChild( input ).setAttribute( "name", "D" );
+
+			// Support: IE8
+			// Enforce case-sensitivity of name attribute
+			if ( el.querySelectorAll( "[name=d]" ).length ) {
+				rbuggyQSA.push( "name" + whitespace + "*[*^$|!~]?=" );
+			}
+
+			// FF 3.5 - :enabled/:disabled and hidden elements (hidden elements are still enabled)
+			// IE8 throws error here and will not see later tests
+			if ( el.querySelectorAll( ":enabled" ).length !== 2 ) {
+				rbuggyQSA.push( ":enabled", ":disabled" );
+			}
+
+			// Support: IE9-11+
+			// IE's :disabled selector does not pick up the children of disabled fieldsets
+			docElem.appendChild( el ).disabled = true;
+			if ( el.querySelectorAll( ":disabled" ).length !== 2 ) {
+				rbuggyQSA.push( ":enabled", ":disabled" );
+			}
+
+			// Support: Opera 10 - 11 only
+			// Opera 10-11 does not throw on post-comma invalid pseudos
+			el.querySelectorAll( "*,:x" );
+			rbuggyQSA.push( ",.*:" );
+		} );
+	}
+
+	if ( ( support.matchesSelector = rnative.test( ( matches = docElem.matches ||
+		docElem.webkitMatchesSelector ||
+		docElem.mozMatchesSelector ||
+		docElem.oMatchesSelector ||
+		docElem.msMatchesSelector ) ) ) ) {
+
+		assert( function( el ) {
+
+			// Check to see if it's possible to do matchesSelector
+			// on a disconnected node (IE 9)
+			support.disconnectedMatch = matches.call( el, "*" );
+
+			// This should fail with an exception
+			// Gecko does not error, returns false instead
+			matches.call( el, "[s!='']:x" );
+			rbuggyMatches.push( "!=", pseudos );
+		} );
+	}
+
+	rbuggyQSA = rbuggyQSA.length && new RegExp( rbuggyQSA.join( "|" ) );
+	rbuggyMatches = rbuggyMatches.length && new RegExp( rbuggyMatches.join( "|" ) );
+
+	/* Contains
+	---------------------------------------------------------------------- */
+	hasCompare = rnative.test( docElem.compareDocumentPosition );
+
+	// Element contains another
+	// Purposefully self-exclusive
+	// As in, an element does not contain itself
+	contains = hasCompare || rnative.test( docElem.contains ) ?
+		function( a, b ) {
+			var adown = a.nodeType === 9 ? a.documentElement : a,
+				bup = b && b.parentNode;
+			return a === bup || !!( bup && bup.nodeType === 1 && (
+				adown.contains ?
+					adown.contains( bup ) :
+					a.compareDocumentPosition && a.compareDocumentPosition( bup ) & 16
+			) );
+		} :
+		function( a, b ) {
+			if ( b ) {
+				while ( ( b = b.parentNode ) ) {
+					if ( b === a ) {
+						return true;
+					}
+				}
+			}
+			return false;
+		};
+
+	/* Sorting
+	---------------------------------------------------------------------- */
+
+	// Document order sorting
+	sortOrder = hasCompare ?
+	function( a, b ) {
+
+		// Flag for duplicate removal
+		if ( a === b ) {
+			hasDuplicate = true;
+			return 0;
+		}
+
+		// Sort on method existence if only one input has compareDocumentPosition
+		var compare = !a.compareDocumentPosition - !b.compareDocumentPosition;
+		if ( compare ) {
+			return compare;
+		}
+
+		// Calculate position if both inputs belong to the same document
+		// Support: IE 11+, Edge 17 - 18+
+		// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+		// two documents; shallow comparisons work.
+		// eslint-disable-next-line eqeqeq
+		compare = ( a.ownerDocument || a ) == ( b.ownerDocument || b ) ?
+			a.compareDocumentPosition( b ) :
+
+			// Otherwise we know they are disconnected
+			1;
+
+		// Disconnected nodes
+		if ( compare & 1 ||
+			( !support.sortDetached && b.compareDocumentPosition( a ) === compare ) ) {
+
+			// Choose the first element that is related to our preferred document
+			// Support: IE 11+, Edge 17 - 18+
+			// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+			// two documents; shallow comparisons work.
+			// eslint-disable-next-line eqeqeq
+			if ( a == document || a.ownerDocument == preferredDoc &&
+				contains( preferredDoc, a ) ) {
+				return -1;
+			}
+
+			// Support: IE 11+, Edge 17 - 18+
+			// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+			// two documents; shallow comparisons work.
+			// eslint-disable-next-line eqeqeq
+			if ( b == document || b.ownerDocument == preferredDoc &&
+				contains( preferredDoc, b ) ) {
+				return 1;
+			}
+
+			// Maintain original order
+			return sortInput ?
+				( indexOf( sortInput, a ) - indexOf( sortInput, b ) ) :
+				0;
+		}
+
+		return compare & 4 ? -1 : 1;
+	} :
+	function( a, b ) {
+
+		// Exit early if the nodes are identical
+		if ( a === b ) {
+			hasDuplicate = true;
+			return 0;
+		}
+
+		var cur,
+			i = 0,
+			aup = a.parentNode,
+			bup = b.parentNode,
+			ap = [ a ],
+			bp = [ b ];
+
+		// Parentless nodes are either documents or disconnected
+		if ( !aup || !bup ) {
+
+			// Support: IE 11+, Edge 17 - 18+
+			// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+			// two documents; shallow comparisons work.
+			/* eslint-disable eqeqeq */
+			return a == document ? -1 :
+				b == document ? 1 :
+				/* eslint-enable eqeqeq */
+				aup ? -1 :
+				bup ? 1 :
+				sortInput ?
+				( indexOf( sortInput, a ) - indexOf( sortInput, b ) ) :
+				0;
+
+		// If the nodes are siblings, we can do a quick check
+		} else if ( aup === bup ) {
+			return siblingCheck( a, b );
+		}
+
+		// Otherwise we need full lists of their ancestors for comparison
+		cur = a;
+		while ( ( cur = cur.parentNode ) ) {
+			ap.unshift( cur );
+		}
+		cur = b;
+		while ( ( cur = cur.parentNode ) ) {
+			bp.unshift( cur );
+		}
+
+		// Walk down the tree looking for a discrepancy
+		while ( ap[ i ] === bp[ i ] ) {
+			i++;
+		}
+
+		return i ?
+
+			// Do a sibling check if the nodes have a common ancestor
+			siblingCheck( ap[ i ], bp[ i ] ) :
+
+			// Otherwise nodes in our document sort first
+			// Support: IE 11+, Edge 17 - 18+
+			// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+			// two documents; shallow comparisons work.
+			/* eslint-disable eqeqeq */
+			ap[ i ] == preferredDoc ? -1 :
+			bp[ i ] == preferredDoc ? 1 :
+			/* eslint-enable eqeqeq */
+			0;
+	};
+
+	return document;
+};
+
+Sizzle.matches = function( expr, elements ) {
+	return Sizzle( expr, null, null, elements );
+};
+
+Sizzle.matchesSelector = function( elem, expr ) {
+	setDocument( elem );
+
+	if ( support.matchesSelector && documentIsHTML &&
+		!nonnativeSelectorCache[ expr + " " ] &&
+		( !rbuggyMatches || !rbuggyMatches.test( expr ) ) &&
+		( !rbuggyQSA     || !rbuggyQSA.test( expr ) ) ) {
+
+		try {
+			var ret = matches.call( elem, expr );
+
+			// IE 9's matchesSelector returns false on disconnected nodes
+			if ( ret || support.disconnectedMatch ||
+
+				// As well, disconnected nodes are said to be in a document
+				// fragment in IE 9
+				elem.document && elem.document.nodeType !== 11 ) {
+				return ret;
+			}
+		} catch ( e ) {
+			nonnativeSelectorCache( expr, true );
+		}
+	}
+
+	return Sizzle( expr, document, null, [ elem ] ).length > 0;
+};
+
+Sizzle.contains = function( context, elem ) {
+
+	// Set document vars if needed
+	// Support: IE 11+, Edge 17 - 18+
+	// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+	// two documents; shallow comparisons work.
+	// eslint-disable-next-line eqeqeq
+	if ( ( context.ownerDocument || context ) != document ) {
+		setDocument( context );
+	}
+	return contains( context, elem );
+};
+
+Sizzle.attr = function( elem, name ) {
+
+	// Set document vars if needed
+	// Support: IE 11+, Edge 17 - 18+
+	// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+	// two documents; shallow comparisons work.
+	// eslint-disable-next-line eqeqeq
+	if ( ( elem.ownerDocument || elem ) != document ) {
+		setDocument( elem );
+	}
+
+	var fn = Expr.attrHandle[ name.toLowerCase() ],
+
+		// Don't get fooled by Object.prototype properties (jQuery #13807)
+		val = fn && hasOwn.call( Expr.attrHandle, name.toLowerCase() ) ?
+			fn( elem, name, !documentIsHTML ) :
+			undefined;
+
+	return val !== undefined ?
+		val :
+		support.attributes || !documentIsHTML ?
+			elem.getAttribute( name ) :
+			( val = elem.getAttributeNode( name ) ) && val.specified ?
+				val.value :
+				null;
+};
+
+Sizzle.escape = function( sel ) {
+	return ( sel + "" ).replace( rcssescape, fcssescape );
+};
+
+Sizzle.error = function( msg ) {
+	throw new Error( "Syntax error, unrecognized expression: " + msg );
+};
+
+/**
+ * Document sorting and removing duplicates
+ * @param {ArrayLike} results
+ */
+Sizzle.uniqueSort = function( results ) {
+	var elem,
+		duplicates = [],
+		j = 0,
+		i = 0;
+
+	// Unless we *know* we can detect duplicates, assume their presence
+	hasDuplicate = !support.detectDuplicates;
+	sortInput = !support.sortStable && results.slice( 0 );
+	results.sort( sortOrder );
+
+	if ( hasDuplicate ) {
+		while ( ( elem = results[ i++ ] ) ) {
+			if ( elem === results[ i ] ) {
+				j = duplicates.push( i );
+			}
+		}
+		while ( j-- ) {
+			results.splice( duplicates[ j ], 1 );
+		}
+	}
+
+	// Clear input after sorting to release objects
+	// See https://github.com/jquery/sizzle/pull/225
+	sortInput = null;
+
+	return results;
+};
+
+/**
+ * Utility function for retrieving the text value of an array of DOM nodes
+ * @param {Array|Element} elem
+ */
+getText = Sizzle.getText = function( elem ) {
+	var node,
+		ret = "",
+		i = 0,
+		nodeType = elem.nodeType;
+
+	if ( !nodeType ) {
+
+		// If no nodeType, this is expected to be an array
+		while ( ( node = elem[ i++ ] ) ) {
+
+			// Do not traverse comment nodes
+			ret += getText( node );
+		}
+	} else if ( nodeType === 1 || nodeType === 9 || nodeType === 11 ) {
+
+		// Use textContent for elements
+		// innerText usage removed for consistency of new lines (jQuery #11153)
+		if ( typeof elem.textContent === "string" ) {
+			return elem.textContent;
+		} else {
+
+			// Traverse its children
+			for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) {
+				ret += getText( elem );
+			}
+		}
+	} else if ( nodeType === 3 || nodeType === 4 ) {
+		return elem.nodeValue;
+	}
+
+	// Do not include comment or processing instruction nodes
+
+	return ret;
+};
+
+Expr = Sizzle.selectors = {
+
+	// Can be adjusted by the user
+	cacheLength: 50,
+
+	createPseudo: markFunction,
+
+	match: matchExpr,
+
+	attrHandle: {},
+
+	find: {},
+
+	relative: {
+		">": { dir: "parentNode", first: true },
+		" ": { dir: "parentNode" },
+		"+": { dir: "previousSibling", first: true },
+		"~": { dir: "previousSibling" }
+	},
+
+	preFilter: {
+		"ATTR": function( match ) {
+			match[ 1 ] = match[ 1 ].replace( runescape, funescape );
+
+			// Move the given value to match[3] whether quoted or unquoted
+			match[ 3 ] = ( match[ 3 ] || match[ 4 ] ||
+				match[ 5 ] || "" ).replace( runescape, funescape );
+
+			if ( match[ 2 ] === "~=" ) {
+				match[ 3 ] = " " + match[ 3 ] + " ";
+			}
+
+			return match.slice( 0, 4 );
+		},
+
+		"CHILD": function( match ) {
+
+			/* matches from matchExpr["CHILD"]
+				1 type (only|nth|...)
+				2 what (child|of-type)
+				3 argument (even|odd|\d*|\d*n([+-]\d+)?|...)
+				4 xn-component of xn+y argument ([+-]?\d*n|)
+				5 sign of xn-component
+				6 x of xn-component
+				7 sign of y-component
+				8 y of y-component
+			*/
+			match[ 1 ] = match[ 1 ].toLowerCase();
+
+			if ( match[ 1 ].slice( 0, 3 ) === "nth" ) {
+
+				// nth-* requires argument
+				if ( !match[ 3 ] ) {
+					Sizzle.error( match[ 0 ] );
+				}
+
+				// numeric x and y parameters for Expr.filter.CHILD
+				// remember that false/true cast respectively to 0/1
+				match[ 4 ] = +( match[ 4 ] ?
+					match[ 5 ] + ( match[ 6 ] || 1 ) :
+					2 * ( match[ 3 ] === "even" || match[ 3 ] === "odd" ) );
+				match[ 5 ] = +( ( match[ 7 ] + match[ 8 ] ) || match[ 3 ] === "odd" );
+
+				// other types prohibit arguments
+			} else if ( match[ 3 ] ) {
+				Sizzle.error( match[ 0 ] );
+			}
+
+			return match;
+		},
+
+		"PSEUDO": function( match ) {
+			var excess,
+				unquoted = !match[ 6 ] && match[ 2 ];
+
+			if ( matchExpr[ "CHILD" ].test( match[ 0 ] ) ) {
+				return null;
+			}
+
+			// Accept quoted arguments as-is
+			if ( match[ 3 ] ) {
+				match[ 2 ] = match[ 4 ] || match[ 5 ] || "";
+
+			// Strip excess characters from unquoted arguments
+			} else if ( unquoted && rpseudo.test( unquoted ) &&
+
+				// Get excess from tokenize (recursively)
+				( excess = tokenize( unquoted, true ) ) &&
+
+				// advance to the next closing parenthesis
+				( excess = unquoted.indexOf( ")", unquoted.length - excess ) - unquoted.length ) ) {
+
+				// excess is a negative index
+				match[ 0 ] = match[ 0 ].slice( 0, excess );
+				match[ 2 ] = unquoted.slice( 0, excess );
+			}
+
+			// Return only captures needed by the pseudo filter method (type and argument)
+			return match.slice( 0, 3 );
+		}
+	},
+
+	filter: {
+
+		"TAG": function( nodeNameSelector ) {
+			var nodeName = nodeNameSelector.replace( runescape, funescape ).toLowerCase();
+			return nodeNameSelector === "*" ?
+				function() {
+					return true;
+				} :
+				function( elem ) {
+					return elem.nodeName && elem.nodeName.toLowerCase() === nodeName;
+				};
+		},
+
+		"CLASS": function( className ) {
+			var pattern = classCache[ className + " " ];
+
+			return pattern ||
+				( pattern = new RegExp( "(^|" + whitespace +
+					")" + className + "(" + whitespace + "|$)" ) ) && classCache(
+						className, function( elem ) {
+							return pattern.test(
+								typeof elem.className === "string" && elem.className ||
+								typeof elem.getAttribute !== "undefined" &&
+									elem.getAttribute( "class" ) ||
+								""
+							);
+				} );
+		},
+
+		"ATTR": function( name, operator, check ) {
+			return function( elem ) {
+				var result = Sizzle.attr( elem, name );
+
+				if ( result == null ) {
+					return operator === "!=";
+				}
+				if ( !operator ) {
+					return true;
+				}
+
+				result += "";
+
+				/* eslint-disable max-len */
+
+				return operator === "=" ? result === check :
+					operator === "!=" ? result !== check :
+					operator === "^=" ? check && result.indexOf( check ) === 0 :
+					operator === "*=" ? check && result.indexOf( check ) > -1 :
+					operator === "$=" ? check && result.slice( -check.length ) === check :
+					operator === "~=" ? ( " " + result.replace( rwhitespace, " " ) + " " ).indexOf( check ) > -1 :
+					operator === "|=" ? result === check || result.slice( 0, check.length + 1 ) === check + "-" :
+					false;
+				/* eslint-enable max-len */
+
+			};
+		},
+
+		"CHILD": function( type, what, _argument, first, last ) {
+			var simple = type.slice( 0, 3 ) !== "nth",
+				forward = type.slice( -4 ) !== "last",
+				ofType = what === "of-type";
+
+			return first === 1 && last === 0 ?
+
+				// Shortcut for :nth-*(n)
+				function( elem ) {
+					return !!elem.parentNode;
+				} :
+
+				function( elem, _context, xml ) {
+					var cache, uniqueCache, outerCache, node, nodeIndex, start,
+						dir = simple !== forward ? "nextSibling" : "previousSibling",
+						parent = elem.parentNode,
+						name = ofType && elem.nodeName.toLowerCase(),
+						useCache = !xml && !ofType,
+						diff = false;
+
+					if ( parent ) {
+
+						// :(first|last|only)-(child|of-type)
+						if ( simple ) {
+							while ( dir ) {
+								node = elem;
+								while ( ( node = node[ dir ] ) ) {
+									if ( ofType ?
+										node.nodeName.toLowerCase() === name :
+										node.nodeType === 1 ) {
+
+										return false;
+									}
+								}
+
+								// Reverse direction for :only-* (if we haven't yet done so)
+								start = dir = type === "only" && !start && "nextSibling";
+							}
+							return true;
+						}
+
+						start = [ forward ? parent.firstChild : parent.lastChild ];
+
+						// non-xml :nth-child(...) stores cache data on `parent`
+						if ( forward && useCache ) {
+
+							// Seek `elem` from a previously-cached index
+
+							// ...in a gzip-friendly way
+							node = parent;
+							outerCache = node[ expando ] || ( node[ expando ] = {} );
+
+							// Support: IE <9 only
+							// Defend against cloned attroperties (jQuery gh-1709)
+							uniqueCache = outerCache[ node.uniqueID ] ||
+								( outerCache[ node.uniqueID ] = {} );
+
+							cache = uniqueCache[ type ] || [];
+							nodeIndex = cache[ 0 ] === dirruns && cache[ 1 ];
+							diff = nodeIndex && cache[ 2 ];
+							node = nodeIndex && parent.childNodes[ nodeIndex ];
+
+							while ( ( node = ++nodeIndex && node && node[ dir ] ||
+
+								// Fallback to seeking `elem` from the start
+								( diff = nodeIndex = 0 ) || start.pop() ) ) {
+
+								// When found, cache indexes on `parent` and break
+								if ( node.nodeType === 1 && ++diff && node === elem ) {
+									uniqueCache[ type ] = [ dirruns, nodeIndex, diff ];
+									break;
+								}
+							}
+
+						} else {
+
+							// Use previously-cached element index if available
+							if ( useCache ) {
+
+								// ...in a gzip-friendly way
+								node = elem;
+								outerCache = node[ expando ] || ( node[ expando ] = {} );
+
+								// Support: IE <9 only
+								// Defend against cloned attroperties (jQuery gh-1709)
+								uniqueCache = outerCache[ node.uniqueID ] ||
+									( outerCache[ node.uniqueID ] = {} );
+
+								cache = uniqueCache[ type ] || [];
+								nodeIndex = cache[ 0 ] === dirruns && cache[ 1 ];
+								diff = nodeIndex;
+							}
+
+							// xml :nth-child(...)
+							// or :nth-last-child(...) or :nth(-last)?-of-type(...)
+							if ( diff === false ) {
+
+								// Use the same loop as above to seek `elem` from the start
+								while ( ( node = ++nodeIndex && node && node[ dir ] ||
+									( diff = nodeIndex = 0 ) || start.pop() ) ) {
+
+									if ( ( ofType ?
+										node.nodeName.toLowerCase() === name :
+										node.nodeType === 1 ) &&
+										++diff ) {
+
+										// Cache the index of each encountered element
+										if ( useCache ) {
+											outerCache = node[ expando ] ||
+												( node[ expando ] = {} );
+
+											// Support: IE <9 only
+											// Defend against cloned attroperties (jQuery gh-1709)
+											uniqueCache = outerCache[ node.uniqueID ] ||
+												( outerCache[ node.uniqueID ] = {} );
+
+											uniqueCache[ type ] = [ dirruns, diff ];
+										}
+
+										if ( node === elem ) {
+											break;
+										}
+									}
+								}
+							}
+						}
+
+						// Incorporate the offset, then check against cycle size
+						diff -= last;
+						return diff === first || ( diff % first === 0 && diff / first >= 0 );
+					}
+				};
+		},
+
+		"PSEUDO": function( pseudo, argument ) {
+
+			// pseudo-class names are case-insensitive
+			// http://www.w3.org/TR/selectors/#pseudo-classes
+			// Prioritize by case sensitivity in case custom pseudos are added with uppercase letters
+			// Remember that setFilters inherits from pseudos
+			var args,
+				fn = Expr.pseudos[ pseudo ] || Expr.setFilters[ pseudo.toLowerCase() ] ||
+					Sizzle.error( "unsupported pseudo: " + pseudo );
+
+			// The user may use createPseudo to indicate that
+			// arguments are needed to create the filter function
+			// just as Sizzle does
+			if ( fn[ expando ] ) {
+				return fn( argument );
+			}
+
+			// But maintain support for old signatures
+			if ( fn.length > 1 ) {
+				args = [ pseudo, pseudo, "", argument ];
+				return Expr.setFilters.hasOwnProperty( pseudo.toLowerCase() ) ?
+					markFunction( function( seed, matches ) {
+						var idx,
+							matched = fn( seed, argument ),
+							i = matched.length;
+						while ( i-- ) {
+							idx = indexOf( seed, matched[ i ] );
+							seed[ idx ] = !( matches[ idx ] = matched[ i ] );
+						}
+					} ) :
+					function( elem ) {
+						return fn( elem, 0, args );
+					};
+			}
+
+			return fn;
+		}
+	},
+
+	pseudos: {
+
+		// Potentially complex pseudos
+		"not": markFunction( function( selector ) {
+
+			// Trim the selector passed to compile
+			// to avoid treating leading and trailing
+			// spaces as combinators
+			var input = [],
+				results = [],
+				matcher = compile( selector.replace( rtrim, "$1" ) );
+
+			return matcher[ expando ] ?
+				markFunction( function( seed, matches, _context, xml ) {
+					var elem,
+						unmatched = matcher( seed, null, xml, [] ),
+						i = seed.length;
+
+					// Match elements unmatched by `matcher`
+					while ( i-- ) {
+						if ( ( elem = unmatched[ i ] ) ) {
+							seed[ i ] = !( matches[ i ] = elem );
+						}
+					}
+				} ) :
+				function( elem, _context, xml ) {
+					input[ 0 ] = elem;
+					matcher( input, null, xml, results );
+
+					// Don't keep the element (issue #299)
+					input[ 0 ] = null;
+					return !results.pop();
+				};
+		} ),
+
+		"has": markFunction( function( selector ) {
+			return function( elem ) {
+				return Sizzle( selector, elem ).length > 0;
+			};
+		} ),
+
+		"contains": markFunction( function( text ) {
+			text = text.replace( runescape, funescape );
+			return function( elem ) {
+				return ( elem.textContent || getText( elem ) ).indexOf( text ) > -1;
+			};
+		} ),
+
+		// "Whether an element is represented by a :lang() selector
+		// is based solely on the element's language value
+		// being equal to the identifier C,
+		// or beginning with the identifier C immediately followed by "-".
+		// The matching of C against the element's language value is performed case-insensitively.
+		// The identifier C does not have to be a valid language name."
+		// http://www.w3.org/TR/selectors/#lang-pseudo
+		"lang": markFunction( function( lang ) {
+
+			// lang value must be a valid identifier
+			if ( !ridentifier.test( lang || "" ) ) {
+				Sizzle.error( "unsupported lang: " + lang );
+			}
+			lang = lang.replace( runescape, funescape ).toLowerCase();
+			return function( elem ) {
+				var elemLang;
+				do {
+					if ( ( elemLang = documentIsHTML ?
+						elem.lang :
+						elem.getAttribute( "xml:lang" ) || elem.getAttribute( "lang" ) ) ) {
+
+						elemLang = elemLang.toLowerCase();
+						return elemLang === lang || elemLang.indexOf( lang + "-" ) === 0;
+					}
+				} while ( ( elem = elem.parentNode ) && elem.nodeType === 1 );
+				return false;
+			};
+		} ),
+
+		// Miscellaneous
+		"target": function( elem ) {
+			var hash = window.location && window.location.hash;
+			return hash && hash.slice( 1 ) === elem.id;
+		},
+
+		"root": function( elem ) {
+			return elem === docElem;
+		},
+
+		"focus": function( elem ) {
+			return elem === document.activeElement &&
+				( !document.hasFocus || document.hasFocus() ) &&
+				!!( elem.type || elem.href || ~elem.tabIndex );
+		},
+
+		// Boolean properties
+		"enabled": createDisabledPseudo( false ),
+		"disabled": createDisabledPseudo( true ),
+
+		"checked": function( elem ) {
+
+			// In CSS3, :checked should return both checked and selected elements
+			// http://www.w3.org/TR/2011/REC-css3-selectors-20110929/#checked
+			var nodeName = elem.nodeName.toLowerCase();
+			return ( nodeName === "input" && !!elem.checked ) ||
+				( nodeName === "option" && !!elem.selected );
+		},
+
+		"selected": function( elem ) {
+
+			// Accessing this property makes selected-by-default
+			// options in Safari work properly
+			if ( elem.parentNode ) {
+				// eslint-disable-next-line no-unused-expressions
+				elem.parentNode.selectedIndex;
+			}
+
+			return elem.selected === true;
+		},
+
+		// Contents
+		"empty": function( elem ) {
+
+			// http://www.w3.org/TR/selectors/#empty-pseudo
+			// :empty is negated by element (1) or content nodes (text: 3; cdata: 4; entity ref: 5),
+			//   but not by others (comment: 8; processing instruction: 7; etc.)
+			// nodeType < 6 works because attributes (2) do not appear as children
+			for ( elem = elem.firstChild; elem; elem = elem.nextSibling ) {
+				if ( elem.nodeType < 6 ) {
+					return false;
+				}
+			}
+			return true;
+		},
+
+		"parent": function( elem ) {
+			return !Expr.pseudos[ "empty" ]( elem );
+		},
+
+		// Element/input types
+		"header": function( elem ) {
+			return rheader.test( elem.nodeName );
+		},
+
+		"input": function( elem ) {
+			return rinputs.test( elem.nodeName );
+		},
+
+		"button": function( elem ) {
+			var name = elem.nodeName.toLowerCase();
+			return name === "input" && elem.type === "button" || name === "button";
+		},
+
+		"text": function( elem ) {
+			var attr;
+			return elem.nodeName.toLowerCase() === "input" &&
+				elem.type === "text" &&
+
+				// Support: IE<8
+				// New HTML5 attribute values (e.g., "search") appear with elem.type === "text"
+				( ( attr = elem.getAttribute( "type" ) ) == null ||
+					attr.toLowerCase() === "text" );
+		},
+
+		// Position-in-collection
+		"first": createPositionalPseudo( function() {
+			return [ 0 ];
+		} ),
+
+		"last": createPositionalPseudo( function( _matchIndexes, length ) {
+			return [ length - 1 ];
+		} ),
+
+		"eq": createPositionalPseudo( function( _matchIndexes, length, argument ) {
+			return [ argument < 0 ? argument + length : argument ];
+		} ),
+
+		"even": createPositionalPseudo( function( matchIndexes, length ) {
+			var i = 0;
+			for ( ; i < length; i += 2 ) {
+				matchIndexes.push( i );
+			}
+			return matchIndexes;
+		} ),
+
+		"odd": createPositionalPseudo( function( matchIndexes, length ) {
+			var i = 1;
+			for ( ; i < length; i += 2 ) {
+				matchIndexes.push( i );
+			}
+			return matchIndexes;
+		} ),
+
+		"lt": createPositionalPseudo( function( matchIndexes, length, argument ) {
+			var i = argument < 0 ?
+				argument + length :
+				argument > length ?
+					length :
+					argument;
+			for ( ; --i >= 0; ) {
+				matchIndexes.push( i );
+			}
+			return matchIndexes;
+		} ),
+
+		"gt": createPositionalPseudo( function( matchIndexes, length, argument ) {
+			var i = argument < 0 ? argument + length : argument;
+			for ( ; ++i < length; ) {
+				matchIndexes.push( i );
+			}
+			return matchIndexes;
+		} )
+	}
+};
+
+Expr.pseudos[ "nth" ] = Expr.pseudos[ "eq" ];
+
+// Add button/input type pseudos
+for ( i in { radio: true, checkbox: true, file: true, password: true, image: true } ) {
+	Expr.pseudos[ i ] = createInputPseudo( i );
+}
+for ( i in { submit: true, reset: true } ) {
+	Expr.pseudos[ i ] = createButtonPseudo( i );
+}
+
+// Easy API for creating new setFilters
+function setFilters() {}
+setFilters.prototype = Expr.filters = Expr.pseudos;
+Expr.setFilters = new setFilters();
+
+tokenize = Sizzle.tokenize = function( selector, parseOnly ) {
+	var matched, match, tokens, type,
+		soFar, groups, preFilters,
+		cached = tokenCache[ selector + " " ];
+
+	if ( cached ) {
+		return parseOnly ? 0 : cached.slice( 0 );
+	}
+
+	soFar = selector;
+	groups = [];
+	preFilters = Expr.preFilter;
+
+	while ( soFar ) {
+
+		// Comma and first run
+		if ( !matched || ( match = rcomma.exec( soFar ) ) ) {
+			if ( match ) {
+
+				// Don't consume trailing commas as valid
+				soFar = soFar.slice( match[ 0 ].length ) || soFar;
+			}
+			groups.push( ( tokens = [] ) );
+		}
+
+		matched = false;
+
+		// Combinators
+		if ( ( match = rcombinators.exec( soFar ) ) ) {
+			matched = match.shift();
+			tokens.push( {
+				value: matched,
+
+				// Cast descendant combinators to space
+				type: match[ 0 ].replace( rtrim, " " )
+			} );
+			soFar = soFar.slice( matched.length );
+		}
+
+		// Filters
+		for ( type in Expr.filter ) {
+			if ( ( match = matchExpr[ type ].exec( soFar ) ) && ( !preFilters[ type ] ||
+				( match = preFilters[ type ]( match ) ) ) ) {
+				matched = match.shift();
+				tokens.push( {
+					value: matched,
+					type: type,
+					matches: match
+				} );
+				soFar = soFar.slice( matched.length );
+			}
+		}
+
+		if ( !matched ) {
+			break;
+		}
+	}
+
+	// Return the length of the invalid excess
+	// if we're just parsing
+	// Otherwise, throw an error or return tokens
+	return parseOnly ?
+		soFar.length :
+		soFar ?
+			Sizzle.error( selector ) :
+
+			// Cache the tokens
+			tokenCache( selector, groups ).slice( 0 );
+};
+
+function toSelector( tokens ) {
+	var i = 0,
+		len = tokens.length,
+		selector = "";
+	for ( ; i < len; i++ ) {
+		selector += tokens[ i ].value;
+	}
+	return selector;
+}
+
+function addCombinator( matcher, combinator, base ) {
+	var dir = combinator.dir,
+		skip = combinator.next,
+		key = skip || dir,
+		checkNonElements = base && key === "parentNode",
+		doneName = done++;
+
+	return combinator.first ?
+
+		// Check against closest ancestor/preceding element
+		function( elem, context, xml ) {
+			while ( ( elem = elem[ dir ] ) ) {
+				if ( elem.nodeType === 1 || checkNonElements ) {
+					return matcher( elem, context, xml );
+				}
+			}
+			return false;
+		} :
+
+		// Check against all ancestor/preceding elements
+		function( elem, context, xml ) {
+			var oldCache, uniqueCache, outerCache,
+				newCache = [ dirruns, doneName ];
+
+			// We can't set arbitrary data on XML nodes, so they don't benefit from combinator caching
+			if ( xml ) {
+				while ( ( elem = elem[ dir ] ) ) {
+					if ( elem.nodeType === 1 || checkNonElements ) {
+						if ( matcher( elem, context, xml ) ) {
+							return true;
+						}
+					}
+				}
+			} else {
+				while ( ( elem = elem[ dir ] ) ) {
+					if ( elem.nodeType === 1 || checkNonElements ) {
+						outerCache = elem[ expando ] || ( elem[ expando ] = {} );
+
+						// Support: IE <9 only
+						// Defend against cloned attroperties (jQuery gh-1709)
+						uniqueCache = outerCache[ elem.uniqueID ] ||
+							( outerCache[ elem.uniqueID ] = {} );
+
+						if ( skip && skip === elem.nodeName.toLowerCase() ) {
+							elem = elem[ dir ] || elem;
+						} else if ( ( oldCache = uniqueCache[ key ] ) &&
+							oldCache[ 0 ] === dirruns && oldCache[ 1 ] === doneName ) {
+
+							// Assign to newCache so results back-propagate to previous elements
+							return ( newCache[ 2 ] = oldCache[ 2 ] );
+						} else {
+
+							// Reuse newcache so results back-propagate to previous elements
+							uniqueCache[ key ] = newCache;
+
+							// A match means we're done; a fail means we have to keep checking
+							if ( ( newCache[ 2 ] = matcher( elem, context, xml ) ) ) {
+								return true;
+							}
+						}
+					}
+				}
+			}
+			return false;
+		};
+}
+
+function elementMatcher( matchers ) {
+	return matchers.length > 1 ?
+		function( elem, context, xml ) {
+			var i = matchers.length;
+			while ( i-- ) {
+				if ( !matchers[ i ]( elem, context, xml ) ) {
+					return false;
+				}
+			}
+			return true;
+		} :
+		matchers[ 0 ];
+}
+
+function multipleContexts( selector, contexts, results ) {
+	var i = 0,
+		len = contexts.length;
+	for ( ; i < len; i++ ) {
+		Sizzle( selector, contexts[ i ], results );
+	}
+	return results;
+}
+
+function condense( unmatched, map, filter, context, xml ) {
+	var elem,
+		newUnmatched = [],
+		i = 0,
+		len = unmatched.length,
+		mapped = map != null;
+
+	for ( ; i < len; i++ ) {
+		if ( ( elem = unmatched[ i ] ) ) {
+			if ( !filter || filter( elem, context, xml ) ) {
+				newUnmatched.push( elem );
+				if ( mapped ) {
+					map.push( i );
+				}
+			}
+		}
+	}
+
+	return newUnmatched;
+}
+
+function setMatcher( preFilter, selector, matcher, postFilter, postFinder, postSelector ) {
+	if ( postFilter && !postFilter[ expando ] ) {
+		postFilter = setMatcher( postFilter );
+	}
+	if ( postFinder && !postFinder[ expando ] ) {
+		postFinder = setMatcher( postFinder, postSelector );
+	}
+	return markFunction( function( seed, results, context, xml ) {
+		var temp, i, elem,
+			preMap = [],
+			postMap = [],
+			preexisting = results.length,
+
+			// Get initial elements from seed or context
+			elems = seed || multipleContexts(
+				selector || "*",
+				context.nodeType ? [ context ] : context,
+				[]
+			),
+
+			// Prefilter to get matcher input, preserving a map for seed-results synchronization
+			matcherIn = preFilter && ( seed || !selector ) ?
+				condense( elems, preMap, preFilter, context, xml ) :
+				elems,
+
+			matcherOut = matcher ?
+
+				// If we have a postFinder, or filtered seed, or non-seed postFilter or preexisting results,
+				postFinder || ( seed ? preFilter : preexisting || postFilter ) ?
+
+					// ...intermediate processing is necessary
+					[] :
+
+					// ...otherwise use results directly
+					results :
+				matcherIn;
+
+		// Find primary matches
+		if ( matcher ) {
+			matcher( matcherIn, matcherOut, context, xml );
+		}
+
+		// Apply postFilter
+		if ( postFilter ) {
+			temp = condense( matcherOut, postMap );
+			postFilter( temp, [], context, xml );
+
+			// Un-match failing elements by moving them back to matcherIn
+			i = temp.length;
+			while ( i-- ) {
+				if ( ( elem = temp[ i ] ) ) {
+					matcherOut[ postMap[ i ] ] = !( matcherIn[ postMap[ i ] ] = elem );
+				}
+			}
+		}
+
+		if ( seed ) {
+			if ( postFinder || preFilter ) {
+				if ( postFinder ) {
+
+					// Get the final matcherOut by condensing this intermediate into postFinder contexts
+					temp = [];
+					i = matcherOut.length;
+					while ( i-- ) {
+						if ( ( elem = matcherOut[ i ] ) ) {
+
+							// Restore matcherIn since elem is not yet a final match
+							temp.push( ( matcherIn[ i ] = elem ) );
+						}
+					}
+					postFinder( null, ( matcherOut = [] ), temp, xml );
+				}
+
+				// Move matched elements from seed to results to keep them synchronized
+				i = matcherOut.length;
+				while ( i-- ) {
+					if ( ( elem = matcherOut[ i ] ) &&
+						( temp = postFinder ? indexOf( seed, elem ) : preMap[ i ] ) > -1 ) {
+
+						seed[ temp ] = !( results[ temp ] = elem );
+					}
+				}
+			}
+
+		// Add elements to results, through postFinder if defined
+		} else {
+			matcherOut = condense(
+				matcherOut === results ?
+					matcherOut.splice( preexisting, matcherOut.length ) :
+					matcherOut
+			);
+			if ( postFinder ) {
+				postFinder( null, results, matcherOut, xml );
+			} else {
+				push.apply( results, matcherOut );
+			}
+		}
+	} );
+}
+
+function matcherFromTokens( tokens ) {
+	var checkContext, matcher, j,
+		len = tokens.length,
+		leadingRelative = Expr.relative[ tokens[ 0 ].type ],
+		implicitRelative = leadingRelative || Expr.relative[ " " ],
+		i = leadingRelative ? 1 : 0,
+
+		// The foundational matcher ensures that elements are reachable from top-level context(s)
+		matchContext = addCombinator( function( elem ) {
+			return elem === checkContext;
+		}, implicitRelative, true ),
+		matchAnyContext = addCombinator( function( elem ) {
+			return indexOf( checkContext, elem ) > -1;
+		}, implicitRelative, true ),
+		matchers = [ function( elem, context, xml ) {
+			var ret = ( !leadingRelative && ( xml || context !== outermostContext ) ) || (
+				( checkContext = context ).nodeType ?
+					matchContext( elem, context, xml ) :
+					matchAnyContext( elem, context, xml ) );
+
+			// Avoid hanging onto element (issue #299)
+			checkContext = null;
+			return ret;
+		} ];
+
+	for ( ; i < len; i++ ) {
+		if ( ( matcher = Expr.relative[ tokens[ i ].type ] ) ) {
+			matchers = [ addCombinator( elementMatcher( matchers ), matcher ) ];
+		} else {
+			matcher = Expr.filter[ tokens[ i ].type ].apply( null, tokens[ i ].matches );
+
+			// Return special upon seeing a positional matcher
+			if ( matcher[ expando ] ) {
+
+				// Find the next relative operator (if any) for proper handling
+				j = ++i;
+				for ( ; j < len; j++ ) {
+					if ( Expr.relative[ tokens[ j ].type ] ) {
+						break;
+					}
+				}
+				return setMatcher(
+					i > 1 && elementMatcher( matchers ),
+					i > 1 && toSelector(
+
+					// If the preceding token was a descendant combinator, insert an implicit any-element `*`
+					tokens
+						.slice( 0, i - 1 )
+						.concat( { value: tokens[ i - 2 ].type === " " ? "*" : "" } )
+					).replace( rtrim, "$1" ),
+					matcher,
+					i < j && matcherFromTokens( tokens.slice( i, j ) ),
+					j < len && matcherFromTokens( ( tokens = tokens.slice( j ) ) ),
+					j < len && toSelector( tokens )
+				);
+			}
+			matchers.push( matcher );
+		}
+	}
+
+	return elementMatcher( matchers );
+}
+
+function matcherFromGroupMatchers( elementMatchers, setMatchers ) {
+	var bySet = setMatchers.length > 0,
+		byElement = elementMatchers.length > 0,
+		superMatcher = function( seed, context, xml, results, outermost ) {
+			var elem, j, matcher,
+				matchedCount = 0,
+				i = "0",
+				unmatched = seed && [],
+				setMatched = [],
+				contextBackup = outermostContext,
+
+				// We must always have either seed elements or outermost context
+				elems = seed || byElement && Expr.find[ "TAG" ]( "*", outermost ),
+
+				// Use integer dirruns iff this is the outermost matcher
+				dirrunsUnique = ( dirruns += contextBackup == null ? 1 : Math.random() || 0.1 ),
+				len = elems.length;
+
+			if ( outermost ) {
+
+				// Support: IE 11+, Edge 17 - 18+
+				// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+				// two documents; shallow comparisons work.
+				// eslint-disable-next-line eqeqeq
+				outermostContext = context == document || context || outermost;
+			}
+
+			// Add elements passing elementMatchers directly to results
+			// Support: IE<9, Safari
+			// Tolerate NodeList properties (IE: "length"; Safari: <number>) matching elements by id
+			for ( ; i !== len && ( elem = elems[ i ] ) != null; i++ ) {
+				if ( byElement && elem ) {
+					j = 0;
+
+					// Support: IE 11+, Edge 17 - 18+
+					// IE/Edge sometimes throw a "Permission denied" error when strict-comparing
+					// two documents; shallow comparisons work.
+					// eslint-disable-next-line eqeqeq
+					if ( !context && elem.ownerDocument != document ) {
+						setDocument( elem );
+						xml = !documentIsHTML;
+					}
+					while ( ( matcher = elementMatchers[ j++ ] ) ) {
+						if ( matcher( elem, context || document, xml ) ) {
+							results.push( elem );
+							break;
+						}
+					}
+					if ( outermost ) {
+						dirruns = dirrunsUnique;
+					}
+				}
+
+				// Track unmatched elements for set filters
+				if ( bySet ) {
+
+					// They will have gone through all possible matchers
+					if ( ( elem = !matcher && elem ) ) {
+						matchedCount--;
+					}
+
+					// Lengthen the array for every element, matched or not
+					if ( seed ) {
+						unmatched.push( elem );
+					}
+				}
+			}
+
+			// `i` is now the count of elements visited above, and adding it to `matchedCount`
+			// makes the latter nonnegative.
+			matchedCount += i;
+
+			// Apply set filters to unmatched elements
+			// NOTE: This can be skipped if there are no unmatched elements (i.e., `matchedCount`
+			// equals `i`), unless we didn't visit _any_ elements in the above loop because we have
+			// no element matchers and no seed.
+			// Incrementing an initially-string "0" `i` allows `i` to remain a string only in that
+			// case, which will result in a "00" `matchedCount` that differs from `i` but is also
+			// numerically zero.
+			if ( bySet && i !== matchedCount ) {
+				j = 0;
+				while ( ( matcher = setMatchers[ j++ ] ) ) {
+					matcher( unmatched, setMatched, context, xml );
+				}
+
+				if ( seed ) {
+
+					// Reintegrate element matches to eliminate the need for sorting
+					if ( matchedCount > 0 ) {
+						while ( i-- ) {
+							if ( !( unmatched[ i ] || setMatched[ i ] ) ) {
+								setMatched[ i ] = pop.call( results );
+							}
+						}
+					}
+
+					// Discard index placeholder values to get only actual matches
+					setMatched = condense( setMatched );
+				}
+
+				// Add matches to results
+				push.apply( results, setMatched );
+
+				// Seedless set matches succeeding multiple successful matchers stipulate sorting
+				if ( outermost && !seed && setMatched.length > 0 &&
+					( matchedCount + setMatchers.length ) > 1 ) {
+
+					Sizzle.uniqueSort( results );
+				}
+			}
+
+			// Override manipulation of globals by nested matchers
+			if ( outermost ) {
+				dirruns = dirrunsUnique;
+				outermostContext = contextBackup;
+			}
+
+			return unmatched;
+		};
+
+	return bySet ?
+		markFunction( superMatcher ) :
+		superMatcher;
+}
+
+compile = Sizzle.compile = function( selector, match /* Internal Use Only */ ) {
+	var i,
+		setMatchers = [],
+		elementMatchers = [],
+		cached = compilerCache[ selector + " " ];
+
+	if ( !cached ) {
+
+		// Generate a function of recursive functions that can be used to check each element
+		if ( !match ) {
+			match = tokenize( selector );
+		}
+		i = match.length;
+		while ( i-- ) {
+			cached = matcherFromTokens( match[ i ] );
+			if ( cached[ expando ] ) {
+				setMatchers.push( cached );
+			} else {
+				elementMatchers.push( cached );
+			}
+		}
+
+		// Cache the compiled function
+		cached = compilerCache(
+			selector,
+			matcherFromGroupMatchers( elementMatchers, setMatchers )
+		);
+
+		// Save selector and tokenization
+		cached.selector = selector;
+	}
+	return cached;
+};
+
+/**
+ * A low-level selection function that works with Sizzle's compiled
+ *  selector functions
+ * @param {String|Function} selector A selector or a pre-compiled
+ *  selector function built with Sizzle.compile
+ * @param {Element} context
+ * @param {Array} [results]
+ * @param {Array} [seed] A set of elements to match against
+ */
+select = Sizzle.select = function( selector, context, results, seed ) {
+	var i, tokens, token, type, find,
+		compiled = typeof selector === "function" && selector,
+		match = !seed && tokenize( ( selector = compiled.selector || selector ) );
+
+	results = results || [];
+
+	// Try to minimize operations if there is only one selector in the list and no seed
+	// (the latter of which guarantees us context)
+	if ( match.length === 1 ) {
+
+		// Reduce context if the leading compound selector is an ID
+		tokens = match[ 0 ] = match[ 0 ].slice( 0 );
+		if ( tokens.length > 2 && ( token = tokens[ 0 ] ).type === "ID" &&
+			context.nodeType === 9 && documentIsHTML && Expr.relative[ tokens[ 1 ].type ] ) {
+
+			context = ( Expr.find[ "ID" ]( token.matches[ 0 ]
+				.replace( runescape, funescape ), context ) || [] )[ 0 ];
+			if ( !context ) {
+				return results;
+
+			// Precompiled matchers will still verify ancestry, so step up a level
+			} else if ( compiled ) {
+				context = context.parentNode;
+			}
+
+			selector = selector.slice( tokens.shift().value.length );
+		}
+
+		// Fetch a seed set for right-to-left matching
+		i = matchExpr[ "needsContext" ].test( selector ) ? 0 : tokens.length;
+		while ( i-- ) {
+			token = tokens[ i ];
+
+			// Abort if we hit a combinator
+			if ( Expr.relative[ ( type = token.type ) ] ) {
+				break;
+			}
+			if ( ( find = Expr.find[ type ] ) ) {
+
+				// Search, expanding context for leading sibling combinators
+				if ( ( seed = find(
+					token.matches[ 0 ].replace( runescape, funescape ),
+					rsibling.test( tokens[ 0 ].type ) && testContext( context.parentNode ) ||
+						context
+				) ) ) {
+
+					// If seed is empty or no tokens remain, we can return early
+					tokens.splice( i, 1 );
+					selector = seed.length && toSelector( tokens );
+					if ( !selector ) {
+						push.apply( results, seed );
+						return results;
+					}
+
+					break;
+				}
+			}
+		}
+	}
+
+	// Compile and execute a filtering function if one is not provided
+	// Provide `match` to avoid retokenization if we modified the selector above
+	( compiled || compile( selector, match ) )(
+		seed,
+		context,
+		!documentIsHTML,
+		results,
+		!context || rsibling.test( selector ) && testContext( context.parentNode ) || context
+	);
+	return results;
+};
+
+// One-time assignments
+
+// Sort stability
+support.sortStable = expando.split( "" ).sort( sortOrder ).join( "" ) === expando;
+
+// Support: Chrome 14-35+
+// Always assume duplicates if they aren't passed to the comparison function
+support.detectDuplicates = !!hasDuplicate;
+
+// Initialize against the default document
+setDocument();
+
+// Support: Webkit<537.32 - Safari 6.0.3/Chrome 25 (fixed in Chrome 27)
+// Detached nodes confoundingly follow *each other*
+support.sortDetached = assert( function( el ) {
+
+	// Should return 1, but returns 4 (following)
+	return el.compareDocumentPosition( document.createElement( "fieldset" ) ) & 1;
+} );
+
+// Support: IE<8
+// Prevent attribute/property "interpolation"
+// https://msdn.microsoft.com/en-us/library/ms536429%28VS.85%29.aspx
+if ( !assert( function( el ) {
+	el.innerHTML = "<a href='#'></a>";
+	return el.firstChild.getAttribute( "href" ) === "#";
+} ) ) {
+	addHandle( "type|href|height|width", function( elem, name, isXML ) {
+		if ( !isXML ) {
+			return elem.getAttribute( name, name.toLowerCase() === "type" ? 1 : 2 );
+		}
+	} );
+}
+
+// Support: IE<9
+// Use defaultValue in place of getAttribute("value")
+if ( !support.attributes || !assert( function( el ) {
+	el.innerHTML = "<input/>";
+	el.firstChild.setAttribute( "value", "" );
+	return el.firstChild.getAttribute( "value" ) === "";
+} ) ) {
+	addHandle( "value", function( elem, _name, isXML ) {
+		if ( !isXML && elem.nodeName.toLowerCase() === "input" ) {
+			return elem.defaultValue;
+		}
+	} );
+}
+
+// Support: IE<9
+// Use getAttributeNode to fetch booleans when getAttribute lies
+if ( !assert( function( el ) {
+	return el.getAttribute( "disabled" ) == null;
+} ) ) {
+	addHandle( booleans, function( elem, name, isXML ) {
+		var val;
+		if ( !isXML ) {
+			return elem[ name ] === true ? name.toLowerCase() :
+				( val = elem.getAttributeNode( name ) ) && val.specified ?
+					val.value :
+					null;
+		}
+	} );
+}
+
+return Sizzle;
+
+} )( window );
+
+
+
+jQuery.find = Sizzle;
+jQuery.expr = Sizzle.selectors;
+
+// Deprecated
+jQuery.expr[ ":" ] = jQuery.expr.pseudos;
+jQuery.uniqueSort = jQuery.unique = Sizzle.uniqueSort;
+jQuery.text = Sizzle.getText;
+jQuery.isXMLDoc = Sizzle.isXML;
+jQuery.contains = Sizzle.contains;
+jQuery.escapeSelector = Sizzle.escape;
+
+
+
+
+var dir = function( elem, dir, until ) {
+	var matched = [],
+		truncate = until !== undefined;
+
+	while ( ( elem = elem[ dir ] ) && elem.nodeType !== 9 ) {
+		if ( elem.nodeType === 1 ) {
+			if ( truncate && jQuery( elem ).is( until ) ) {
+				break;
+			}
+			matched.push( elem );
+		}
+	}
+	return matched;
+};
+
+
+var siblings = function( n, elem ) {
+	var matched = [];
+
+	for ( ; n; n = n.nextSibling ) {
+		if ( n.nodeType === 1 && n !== elem ) {
+			matched.push( n );
+		}
+	}
+
+	return matched;
+};
+
+
+var rneedsContext = jQuery.expr.match.needsContext;
+
+
+
+function nodeName( elem, name ) {
+
+	return elem.nodeName && elem.nodeName.toLowerCase() === name.toLowerCase();
+
+}
+var rsingleTag = ( /^<([a-z][^\/\0>:\x20\t\r\n\f]*)[\x20\t\r\n\f]*\/?>(?:<\/\1>|)$/i );
+
+
+
+// Implement the identical functionality for filter and not
+function winnow( elements, qualifier, not ) {
+	if ( isFunction( qualifier ) ) {
+		return jQuery.grep( elements, function( elem, i ) {
+			return !!qualifier.call( elem, i, elem ) !== not;
+		} );
+	}
+
+	// Single element
+	if ( qualifier.nodeType ) {
+		return jQuery.grep( elements, function( elem ) {
+			return ( elem === qualifier ) !== not;
+		} );
+	}
+
+	// Arraylike of elements (jQuery, arguments, Array)
+	if ( typeof qualifier !== "string" ) {
+		return jQuery.grep( elements, function( elem ) {
+			return ( indexOf.call( qualifier, elem ) > -1 ) !== not;
+		} );
+	}
+
+	// Filtered directly for both simple and complex selectors
+	return jQuery.filter( qualifier, elements, not );
+}
+
+jQuery.filter = function( expr, elems, not ) {
+	var elem = elems[ 0 ];
+
+	if ( not ) {
+		expr = ":not(" + expr + ")";
+	}
+
+	if ( elems.length === 1 && elem.nodeType === 1 ) {
+		return jQuery.find.matchesSelector( elem, expr ) ? [ elem ] : [];
+	}
+
+	return jQuery.find.matches( expr, jQuery.grep( elems, function( elem ) {
+		return elem.nodeType === 1;
+	} ) );
+};
+
+jQuery.fn.extend( {
+	find: function( selector ) {
+		var i, ret,
+			len = this.length,
+			self = this;
+
+		if ( typeof selector !== "string" ) {
+			return this.pushStack( jQuery( selector ).filter( function() {
+				for ( i = 0; i < len; i++ ) {
+					if ( jQuery.contains( self[ i ], this ) ) {
+						return true;
+					}
+				}
+			} ) );
+		}
+
+		ret = this.pushStack( [] );
+
+		for ( i = 0; i < len; i++ ) {
+			jQuery.find( selector, self[ i ], ret );
+		}
+
+		return len > 1 ? jQuery.uniqueSort( ret ) : ret;
+	},
+	filter: function( selector ) {
+		return this.pushStack( winnow( this, selector || [], false ) );
+	},
+	not: function( selector ) {
+		return this.pushStack( winnow( this, selector || [], true ) );
+	},
+	is: function( selector ) {
+		return !!winnow(
+			this,
+
+			// If this is a positional/relative selector, check membership in the returned set
+			// so $("p:first").is("p:last") won't return true for a doc with two "p".
+			typeof selector === "string" && rneedsContext.test( selector ) ?
+				jQuery( selector ) :
+				selector || [],
+			false
+		).length;
+	}
+} );
+
+
+// Initialize a jQuery object
+
+
+// A central reference to the root jQuery(document)
+var rootjQuery,
+
+	// A simple way to check for HTML strings
+	// Prioritize #id over <tag> to avoid XSS via location.hash (#9521)
+	// Strict HTML recognition (#11290: must start with <)
+	// Shortcut simple #id case for speed
+	rquickExpr = /^(?:\s*(<[\w\W]+>)[^>]*|#([\w-]+))$/,
+
+	init = jQuery.fn.init = function( selector, context, root ) {
+		var match, elem;
+
+		// HANDLE: $(""), $(null), $(undefined), $(false)
+		if ( !selector ) {
+			return this;
+		}
+
+		// Method init() accepts an alternate rootjQuery
+		// so migrate can support jQuery.sub (gh-2101)
+		root = root || rootjQuery;
+
+		// Handle HTML strings
+		if ( typeof selector === "string" ) {
+			if ( selector[ 0 ] === "<" &&
+				selector[ selector.length - 1 ] === ">" &&
+				selector.length >= 3 ) {
+
+				// Assume that strings that start and end with <> are HTML and skip the regex check
+				match = [ null, selector, null ];
+
+			} else {
+				match = rquickExpr.exec( selector );
+			}
+
+			// Match html or make sure no context is specified for #id
+			if ( match && ( match[ 1 ] || !context ) ) {
+
+				// HANDLE: $(html) -> $(array)
+				if ( match[ 1 ] ) {
+					context = context instanceof jQuery ? context[ 0 ] : context;
+
+					// Option to run scripts is true for back-compat
+					// Intentionally let the error be thrown if parseHTML is not present
+					jQuery.merge( this, jQuery.parseHTML(
+						match[ 1 ],
+						context && context.nodeType ? context.ownerDocument || context : document,
+						true
+					) );
+
+					// HANDLE: $(html, props)
+					if ( rsingleTag.test( match[ 1 ] ) && jQuery.isPlainObject( context ) ) {
+						for ( match in context ) {
+
+							// Properties of context are called as methods if possible
+							if ( isFunction( this[ match ] ) ) {
+								this[ match ]( context[ match ] );
+
+							// ...and otherwise set as attributes
+							} else {
+								this.attr( match, context[ match ] );
+							}
+						}
+					}
+
+					return this;
+
+				// HANDLE: $(#id)
+				} else {
+					elem = document.getElementById( match[ 2 ] );
+
+					if ( elem ) {
+
+						// Inject the element directly into the jQuery object
+						this[ 0 ] = elem;
+						this.length = 1;
+					}
+					return this;
+				}
+
+			// HANDLE: $(expr, $(...))
+			} else if ( !context || context.jquery ) {
+				return ( context || root ).find( selector );
+
+			// HANDLE: $(expr, context)
+			// (which is just equivalent to: $(context).find(expr)
+			} else {
+				return this.constructor( context ).find( selector );
+			}
+
+		// HANDLE: $(DOMElement)
+		} else if ( selector.nodeType ) {
+			this[ 0 ] = selector;
+			this.length = 1;
+			return this;
+
+		// HANDLE: $(function)
+		// Shortcut for document ready
+		} else if ( isFunction( selector ) ) {
+			return root.ready !== undefined ?
+				root.ready( selector ) :
+
+				// Execute immediately if ready is not present
+				selector( jQuery );
+		}
+
+		return jQuery.makeArray( selector, this );
+	};
+
+// Give the init function the jQuery prototype for later instantiation
+init.prototype = jQuery.fn;
+
+// Initialize central reference
+rootjQuery = jQuery( document );
+
+
+var rparentsprev = /^(?:parents|prev(?:Until|All))/,
+
+	// Methods guaranteed to produce a unique set when starting from a unique set
+	guaranteedUnique = {
+		children: true,
+		contents: true,
+		next: true,
+		prev: true
+	};
+
+jQuery.fn.extend( {
+	has: function( target ) {
+		var targets = jQuery( target, this ),
+			l = targets.length;
+
+		return this.filter( function() {
+			var i = 0;
+			for ( ; i < l; i++ ) {
+				if ( jQuery.contains( this, targets[ i ] ) ) {
+					return true;
+				}
+			}
+		} );
+	},
+
+	closest: function( selectors, context ) {
+		var cur,
+			i = 0,
+			l = this.length,
+			matched = [],
+			targets = typeof selectors !== "string" && jQuery( selectors );
+
+		// Positional selectors never match, since there's no _selection_ context
+		if ( !rneedsContext.test( selectors ) ) {
+			for ( ; i < l; i++ ) {
+				for ( cur = this[ i ]; cur && cur !== context; cur = cur.parentNode ) {
+
+					// Always skip document fragments
+					if ( cur.nodeType < 11 && ( targets ?
+						targets.index( cur ) > -1 :
+
+						// Don't pass non-elements to Sizzle
+						cur.nodeType === 1 &&
+							jQuery.find.matchesSelector( cur, selectors ) ) ) {
+
+						matched.push( cur );
+						break;
+					}
+				}
+			}
+		}
+
+		return this.pushStack( matched.length > 1 ? jQuery.uniqueSort( matched ) : matched );
+	},
+
+	// Determine the position of an element within the set
+	index: function( elem ) {
+
+		// No argument, return index in parent
+		if ( !elem ) {
+			return ( this[ 0 ] && this[ 0 ].parentNode ) ? this.first().prevAll().length : -1;
+		}
+
+		// Index in selector
+		if ( typeof elem === "string" ) {
+			return indexOf.call( jQuery( elem ), this[ 0 ] );
+		}
+
+		// Locate the position of the desired element
+		return indexOf.call( this,
+
+			// If it receives a jQuery object, the first element is used
+			elem.jquery ? elem[ 0 ] : elem
+		);
+	},
+
+	add: function( selector, context ) {
+		return this.pushStack(
+			jQuery.uniqueSort(
+				jQuery.merge( this.get(), jQuery( selector, context ) )
+			)
+		);
+	},
+
+	addBack: function( selector ) {
+		return this.add( selector == null ?
+			this.prevObject : this.prevObject.filter( selector )
+		);
+	}
+} );
+
+function sibling( cur, dir ) {
+	while ( ( cur = cur[ dir ] ) && cur.nodeType !== 1 ) {}
+	return cur;
+}
+
+jQuery.each( {
+	parent: function( elem ) {
+		var parent = elem.parentNode;
+		return parent && parent.nodeType !== 11 ? parent : null;
+	},
+	parents: function( elem ) {
+		return dir( elem, "parentNode" );
+	},
+	parentsUntil: function( elem, _i, until ) {
+		return dir( elem, "parentNode", until );
+	},
+	next: function( elem ) {
+		return sibling( elem, "nextSibling" );
+	},
+	prev: function( elem ) {
+		return sibling( elem, "previousSibling" );
+	},
+	nextAll: function( elem ) {
+		return dir( elem, "nextSibling" );
+	},
+	prevAll: function( elem ) {
+		return dir( elem, "previousSibling" );
+	},
+	nextUntil: function( elem, _i, until ) {
+		return dir( elem, "nextSibling", until );
+	},
+	prevUntil: function( elem, _i, until ) {
+		return dir( elem, "previousSibling", until );
+	},
+	siblings: function( elem ) {
+		return siblings( ( elem.parentNode || {} ).firstChild, elem );
+	},
+	children: function( elem ) {
+		return siblings( elem.firstChild );
+	},
+	contents: function( elem ) {
+		if ( elem.contentDocument != null &&
+
+			// Support: IE 11+
+			// <object> elements with no `data` attribute has an object
+			// `contentDocument` with a `null` prototype.
+			getProto( elem.contentDocument ) ) {
+
+			return elem.contentDocument;
+		}
+
+		// Support: IE 9 - 11 only, iOS 7 only, Android Browser <=4.3 only
+		// Treat the template element as a regular one in browsers that
+		// don't support it.
+		if ( nodeName( elem, "template" ) ) {
+			elem = elem.content || elem;
+		}
+
+		return jQuery.merge( [], elem.childNodes );
+	}
+}, function( name, fn ) {
+	jQuery.fn[ name ] = function( until, selector ) {
+		var matched = jQuery.map( this, fn, until );
+
+		if ( name.slice( -5 ) !== "Until" ) {
+			selector = until;
+		}
+
+		if ( selector && typeof selector === "string" ) {
+			matched = jQuery.filter( selector, matched );
+		}
+
+		if ( this.length > 1 ) {
+
+			// Remove duplicates
+			if ( !guaranteedUnique[ name ] ) {
+				jQuery.uniqueSort( matched );
+			}
+
+			// Reverse order for parents* and prev-derivatives
+			if ( rparentsprev.test( name ) ) {
+				matched.reverse();
+			}
+		}
+
+		return this.pushStack( matched );
+	};
+} );
+var rnothtmlwhite = ( /[^\x20\t\r\n\f]+/g );
+
+
+
+// Convert String-formatted options into Object-formatted ones
+function createOptions( options ) {
+	var object = {};
+	jQuery.each( options.match( rnothtmlwhite ) || [], function( _, flag ) {
+		object[ flag ] = true;
+	} );
+	return object;
+}
+
+/*
+ * Create a callback list using the following parameters:
+ *
+ *	options: an optional list of space-separated options that will change how
+ *			the callback list behaves or a more traditional option object
+ *
+ * By default a callback list will act like an event callback list and can be
+ * "fired" multiple times.
+ *
+ * Possible options:
+ *
+ *	once:			will ensure the callback list can only be fired once (like a Deferred)
+ *
+ *	memory:			will keep track of previous values and will call any callback added
+ *					after the list has been fired right away with the latest "memorized"
+ *					values (like a Deferred)
+ *
+ *	unique:			will ensure a callback can only be added once (no duplicate in the list)
+ *
+ *	stopOnFalse:	interrupt callings when a callback returns false
+ *
+ */
+jQuery.Callbacks = function( options ) {
+
+	// Convert options from String-formatted to Object-formatted if needed
+	// (we check in cache first)
+	options = typeof options === "string" ?
+		createOptions( options ) :
+		jQuery.extend( {}, options );
+
+	var // Flag to know if list is currently firing
+		firing,
+
+		// Last fire value for non-forgettable lists
+		memory,
+
+		// Flag to know if list was already fired
+		fired,
+
+		// Flag to prevent firing
+		locked,
+
+		// Actual callback list
+		list = [],
+
+		// Queue of execution data for repeatable lists
+		queue = [],
+
+		// Index of currently firing callback (modified by add/remove as needed)
+		firingIndex = -1,
+
+		// Fire callbacks
+		fire = function() {
+
+			// Enforce single-firing
+			locked = locked || options.once;
+
+			// Execute callbacks for all pending executions,
+			// respecting firingIndex overrides and runtime changes
+			fired = firing = true;
+			for ( ; queue.length; firingIndex = -1 ) {
+				memory = queue.shift();
+				while ( ++firingIndex < list.length ) {
+
+					// Run callback and check for early termination
+					if ( list[ firingIndex ].apply( memory[ 0 ], memory[ 1 ] ) === false &&
+						options.stopOnFalse ) {
+
+						// Jump to end and forget the data so .add doesn't re-fire
+						firingIndex = list.length;
+						memory = false;
+					}
+				}
+			}
+
+			// Forget the data if we're done with it
+			if ( !options.memory ) {
+				memory = false;
+			}
+
+			firing = false;
+
+			// Clean up if we're done firing for good
+			if ( locked ) {
+
+				// Keep an empty list if we have data for future add calls
+				if ( memory ) {
+					list = [];
+
+				// Otherwise, this object is spent
+				} else {
+					list = "";
+				}
+			}
+		},
+
+		// Actual Callbacks object
+		self = {
+
+			// Add a callback or a collection of callbacks to the list
+			add: function() {
+				if ( list ) {
+
+					// If we have memory from a past run, we should fire after adding
+					if ( memory && !firing ) {
+						firingIndex = list.length - 1;
+						queue.push( memory );
+					}
+
+					( function add( args ) {
+						jQuery.each( args, function( _, arg ) {
+							if ( isFunction( arg ) ) {
+								if ( !options.unique || !self.has( arg ) ) {
+									list.push( arg );
+								}
+							} else if ( arg && arg.length && toType( arg ) !== "string" ) {
+
+								// Inspect recursively
+								add( arg );
+							}
+						} );
+					} )( arguments );
+
+					if ( memory && !firing ) {
+						fire();
+					}
+				}
+				return this;
+			},
+
+			// Remove a callback from the list
+			remove: function() {
+				jQuery.each( arguments, function( _, arg ) {
+					var index;
+					while ( ( index = jQuery.inArray( arg, list, index ) ) > -1 ) {
+						list.splice( index, 1 );
+
+						// Handle firing indexes
+						if ( index <= firingIndex ) {
+							firingIndex--;
+						}
+					}
+				} );
+				return this;
+			},
+
+			// Check if a given callback is in the list.
+			// If no argument is given, return whether or not list has callbacks attached.
+			has: function( fn ) {
+				return fn ?
+					jQuery.inArray( fn, list ) > -1 :
+					list.length > 0;
+			},
+
+			// Remove all callbacks from the list
+			empty: function() {
+				if ( list ) {
+					list = [];
+				}
+				return this;
+			},
+
+			// Disable .fire and .add
+			// Abort any current/pending executions
+			// Clear all callbacks and values
+			disable: function() {
+				locked = queue = [];
+				list = memory = "";
+				return this;
+			},
+			disabled: function() {
+				return !list;
+			},
+
+			// Disable .fire
+			// Also disable .add unless we have memory (since it would have no effect)
+			// Abort any pending executions
+			lock: function() {
+				locked = queue = [];
+				if ( !memory && !firing ) {
+					list = memory = "";
+				}
+				return this;
+			},
+			locked: function() {
+				return !!locked;
+			},
+
+			// Call all callbacks with the given context and arguments
+			fireWith: function( context, args ) {
+				if ( !locked ) {
+					args = args || [];
+					args = [ context, args.slice ? args.slice() : args ];
+					queue.push( args );
+					if ( !firing ) {
+						fire();
+					}
+				}
+				return this;
+			},
+
+			// Call all the callbacks with the given arguments
+			fire: function() {
+				self.fireWith( this, arguments );
+				return this;
+			},
+
+			// To know if the callbacks have already been called at least once
+			fired: function() {
+				return !!fired;
+			}
+		};
+
+	return self;
+};
+
+
+function Identity( v ) {
+	return v;
+}
+function Thrower( ex ) {
+	throw ex;
+}
+
+function adoptValue( value, resolve, reject, noValue ) {
+	var method;
+
+	try {
+
+		// Check for promise aspect first to privilege synchronous behavior
+		if ( value && isFunction( ( method = value.promise ) ) ) {
+			method.call( value ).done( resolve ).fail( reject );
+
+		// Other thenables
+		} else if ( value && isFunction( ( method = value.then ) ) ) {
+			method.call( value, resolve, reject );
+
+		// Other non-thenables
+		} else {
+
+			// Control `resolve` arguments by letting Array#slice cast boolean `noValue` to integer:
+			// * false: [ value ].slice( 0 ) => resolve( value )
+			// * true: [ value ].slice( 1 ) => resolve()
+			resolve.apply( undefined, [ value ].slice( noValue ) );
+		}
+
+	// For Promises/A+, convert exceptions into rejections
+	// Since jQuery.when doesn't unwrap thenables, we can skip the extra checks appearing in
+	// Deferred#then to conditionally suppress rejection.
+	} catch ( value ) {
+
+		// Support: Android 4.0 only
+		// Strict mode functions invoked without .call/.apply get global-object context
+		reject.apply( undefined, [ value ] );
+	}
+}
+
+jQuery.extend( {
+
+	Deferred: function( func ) {
+		var tuples = [
+
+				// action, add listener, callbacks,
+				// ... .then handlers, argument index, [final state]
+				[ "notify", "progress", jQuery.Callbacks( "memory" ),
+					jQuery.Callbacks( "memory" ), 2 ],
+				[ "resolve", "done", jQuery.Callbacks( "once memory" ),
+					jQuery.Callbacks( "once memory" ), 0, "resolved" ],
+				[ "reject", "fail", jQuery.Callbacks( "once memory" ),
+					jQuery.Callbacks( "once memory" ), 1, "rejected" ]
+			],
+			state = "pending",
+			promise = {
+				state: function() {
+					return state;
+				},
+				always: function() {
+					deferred.done( arguments ).fail( arguments );
+					return this;
+				},
+				"catch": function( fn ) {
+					return promise.then( null, fn );
+				},
+
+				// Keep pipe for back-compat
+				pipe: function( /* fnDone, fnFail, fnProgress */ ) {
+					var fns = arguments;
+
+					return jQuery.Deferred( function( newDefer ) {
+						jQuery.each( tuples, function( _i, tuple ) {
+
+							// Map tuples (progress, done, fail) to arguments (done, fail, progress)
+							var fn = isFunction( fns[ tuple[ 4 ] ] ) && fns[ tuple[ 4 ] ];
+
+							// deferred.progress(function() { bind to newDefer or newDefer.notify })
+							// deferred.done(function() { bind to newDefer or newDefer.resolve })
+							// deferred.fail(function() { bind to newDefer or newDefer.reject })
+							deferred[ tuple[ 1 ] ]( function() {
+								var returned = fn && fn.apply( this, arguments );
+								if ( returned && isFunction( returned.promise ) ) {
+									returned.promise()
+										.progress( newDefer.notify )
+										.done( newDefer.resolve )
+										.fail( newDefer.reject );
+								} else {
+									newDefer[ tuple[ 0 ] + "With" ](
+										this,
+										fn ? [ returned ] : arguments
+									);
+								}
+							} );
+						} );
+						fns = null;
+					} ).promise();
+				},
+				then: function( onFulfilled, onRejected, onProgress ) {
+					var maxDepth = 0;
+					function resolve( depth, deferred, handler, special ) {
+						return function() {
+							var that = this,
+								args = arguments,
+								mightThrow = function() {
+									var returned, then;
+
+									// Support: Promises/A+ section 2.3.3.3.3
+									// https://promisesaplus.com/#point-59
+									// Ignore double-resolution attempts
+									if ( depth < maxDepth ) {
+										return;
+									}
+
+									returned = handler.apply( that, args );
+
+									// Support: Promises/A+ section 2.3.1
+									// https://promisesaplus.com/#point-48
+									if ( returned === deferred.promise() ) {
+										throw new TypeError( "Thenable self-resolution" );
+									}
+
+									// Support: Promises/A+ sections 2.3.3.1, 3.5
+									// https://promisesaplus.com/#point-54
+									// https://promisesaplus.com/#point-75
+									// Retrieve `then` only once
+									then = returned &&
+
+										// Support: Promises/A+ section 2.3.4
+										// https://promisesaplus.com/#point-64
+										// Only check objects and functions for thenability
+										( typeof returned === "object" ||
+											typeof returned === "function" ) &&
+										returned.then;
+
+									// Handle a returned thenable
+									if ( isFunction( then ) ) {
+
+										// Special processors (notify) just wait for resolution
+										if ( special ) {
+											then.call(
+												returned,
+												resolve( maxDepth, deferred, Identity, special ),
+												resolve( maxDepth, deferred, Thrower, special )
+											);
+
+										// Normal processors (resolve) also hook into progress
+										} else {
+
+											// ...and disregard older resolution values
+											maxDepth++;
+
+											then.call(
+												returned,
+												resolve( maxDepth, deferred, Identity, special ),
+												resolve( maxDepth, deferred, Thrower, special ),
+												resolve( maxDepth, deferred, Identity,
+													deferred.notifyWith )
+											);
+										}
+
+									// Handle all other returned values
+									} else {
+
+										// Only substitute handlers pass on context
+										// and multiple values (non-spec behavior)
+										if ( handler !== Identity ) {
+											that = undefined;
+											args = [ returned ];
+										}
+
+										// Process the value(s)
+										// Default process is resolve
+										( special || deferred.resolveWith )( that, args );
+									}
+								},
+
+								// Only normal processors (resolve) catch and reject exceptions
+								process = special ?
+									mightThrow :
+									function() {
+										try {
+											mightThrow();
+										} catch ( e ) {
+
+											if ( jQuery.Deferred.exceptionHook ) {
+												jQuery.Deferred.exceptionHook( e,
+													process.stackTrace );
+											}
+
+											// Support: Promises/A+ section 2.3.3.3.4.1
+											// https://promisesaplus.com/#point-61
+											// Ignore post-resolution exceptions
+											if ( depth + 1 >= maxDepth ) {
+
+												// Only substitute handlers pass on context
+												// and multiple values (non-spec behavior)
+												if ( handler !== Thrower ) {
+													that = undefined;
+													args = [ e ];
+												}
+
+												deferred.rejectWith( that, args );
+											}
+										}
+									};
+
+							// Support: Promises/A+ section 2.3.3.3.1
+							// https://promisesaplus.com/#point-57
+							// Re-resolve promises immediately to dodge false rejection from
+							// subsequent errors
+							if ( depth ) {
+								process();
+							} else {
+
+								// Call an optional hook to record the stack, in case of exception
+								// since it's otherwise lost when execution goes async
+								if ( jQuery.Deferred.getStackHook ) {
+									process.stackTrace = jQuery.Deferred.getStackHook();
+								}
+								window.setTimeout( process );
+							}
+						};
+					}
+
+					return jQuery.Deferred( function( newDefer ) {
+
+						// progress_handlers.add( ... )
+						tuples[ 0 ][ 3 ].add(
+							resolve(
+								0,
+								newDefer,
+								isFunction( onProgress ) ?
+									onProgress :
+									Identity,
+								newDefer.notifyWith
+							)
+						);
+
+						// fulfilled_handlers.add( ... )
+						tuples[ 1 ][ 3 ].add(
+							resolve(
+								0,
+								newDefer,
+								isFunction( onFulfilled ) ?
+									onFulfilled :
+									Identity
+							)
+						);
+
+						// rejected_handlers.add( ... )
+						tuples[ 2 ][ 3 ].add(
+							resolve(
+								0,
+								newDefer,
+								isFunction( onRejected ) ?
+									onRejected :
+									Thrower
+							)
+						);
+					} ).promise();
+				},
+
+				// Get a promise for this deferred
+				// If obj is provided, the promise aspect is added to the object
+				promise: function( obj ) {
+					return obj != null ? jQuery.extend( obj, promise ) : promise;
+				}
+			},
+			deferred = {};
+
+		// Add list-specific methods
+		jQuery.each( tuples, function( i, tuple ) {
+			var list = tuple[ 2 ],
+				stateString = tuple[ 5 ];
+
+			// promise.progress = list.add
+			// promise.done = list.add
+			// promise.fail = list.add
+			promise[ tuple[ 1 ] ] = list.add;
+
+			// Handle state
+			if ( stateString ) {
+				list.add(
+					function() {
+
+						// state = "resolved" (i.e., fulfilled)
+						// state = "rejected"
+						state = stateString;
+					},
+
+					// rejected_callbacks.disable
+					// fulfilled_callbacks.disable
+					tuples[ 3 - i ][ 2 ].disable,
+
+					// rejected_handlers.disable
+					// fulfilled_handlers.disable
+					tuples[ 3 - i ][ 3 ].disable,
+
+					// progress_callbacks.lock
+					tuples[ 0 ][ 2 ].lock,
+
+					// progress_handlers.lock
+					tuples[ 0 ][ 3 ].lock
+				);
+			}
+
+			// progress_handlers.fire
+			// fulfilled_handlers.fire
+			// rejected_handlers.fire
+			list.add( tuple[ 3 ].fire );
+
+			// deferred.notify = function() { deferred.notifyWith(...) }
+			// deferred.resolve = function() { deferred.resolveWith(...) }
+			// deferred.reject = function() { deferred.rejectWith(...) }
+			deferred[ tuple[ 0 ] ] = function() {
+				deferred[ tuple[ 0 ] + "With" ]( this === deferred ? undefined : this, arguments );
+				return this;
+			};
+
+			// deferred.notifyWith = list.fireWith
+			// deferred.resolveWith = list.fireWith
+			// deferred.rejectWith = list.fireWith
+			deferred[ tuple[ 0 ] + "With" ] = list.fireWith;
+		} );
+
+		// Make the deferred a promise
+		promise.promise( deferred );
+
+		// Call given func if any
+		if ( func ) {
+			func.call( deferred, deferred );
+		}
+
+		// All done!
+		return deferred;
+	},
+
+	// Deferred helper
+	when: function( singleValue ) {
+		var
+
+			// count of uncompleted subordinates
+			remaining = arguments.length,
+
+			// count of unprocessed arguments
+			i = remaining,
+
+			// subordinate fulfillment data
+			resolveContexts = Array( i ),
+			resolveValues = slice.call( arguments ),
+
+			// the primary Deferred
+			primary = jQuery.Deferred(),
+
+			// subordinate callback factory
+			updateFunc = function( i ) {
+				return function( value ) {
+					resolveContexts[ i ] = this;
+					resolveValues[ i ] = arguments.length > 1 ? slice.call( arguments ) : value;
+					if ( !( --remaining ) ) {
+						primary.resolveWith( resolveContexts, resolveValues );
+					}
+				};
+			};
+
+		// Single- and empty arguments are adopted like Promise.resolve
+		if ( remaining <= 1 ) {
+			adoptValue( singleValue, primary.done( updateFunc( i ) ).resolve, primary.reject,
+				!remaining );
+
+			// Use .then() to unwrap secondary thenables (cf. gh-3000)
+			if ( primary.state() === "pending" ||
+				isFunction( resolveValues[ i ] && resolveValues[ i ].then ) ) {
+
+				return primary.then();
+			}
+		}
+
+		// Multiple arguments are aggregated like Promise.all array elements
+		while ( i-- ) {
+			adoptValue( resolveValues[ i ], updateFunc( i ), primary.reject );
+		}
+
+		return primary.promise();
+	}
+} );
+
+
+// These usually indicate a programmer mistake during development,
+// warn about them ASAP rather than swallowing them by default.
+var rerrorNames = /^(Eval|Internal|Range|Reference|Syntax|Type|URI)Error$/;
+
+jQuery.Deferred.exceptionHook = function( error, stack ) {
+
+	// Support: IE 8 - 9 only
+	// Console exists when dev tools are open, which can happen at any time
+	if ( window.console && window.console.warn && error && rerrorNames.test( error.name ) ) {
+		window.console.warn( "jQuery.Deferred exception: " + error.message, error.stack, stack );
+	}
+};
+
+
+
+
+jQuery.readyException = function( error ) {
+	window.setTimeout( function() {
+		throw error;
+	} );
+};
+
+
+
+
+// The deferred used on DOM ready
+var readyList = jQuery.Deferred();
+
+jQuery.fn.ready = function( fn ) {
+
+	readyList
+		.then( fn )
+
+		// Wrap jQuery.readyException in a function so that the lookup
+		// happens at the time of error handling instead of callback
+		// registration.
+		.catch( function( error ) {
+			jQuery.readyException( error );
+		} );
+
+	return this;
+};
+
+jQuery.extend( {
+
+	// Is the DOM ready to be used? Set to true once it occurs.
+	isReady: false,
+
+	// A counter to track how many items to wait for before
+	// the ready event fires. See #6781
+	readyWait: 1,
+
+	// Handle when the DOM is ready
+	ready: function( wait ) {
+
+		// Abort if there are pending holds or we're already ready
+		if ( wait === true ? --jQuery.readyWait : jQuery.isReady ) {
+			return;
+		}
+
+		// Remember that the DOM is ready
+		jQuery.isReady = true;
+
+		// If a normal DOM Ready event fired, decrement, and wait if need be
+		if ( wait !== true && --jQuery.readyWait > 0 ) {
+			return;
+		}
+
+		// If there are functions bound, to execute
+		readyList.resolveWith( document, [ jQuery ] );
+	}
+} );
+
+jQuery.ready.then = readyList.then;
+
+// The ready event handler and self cleanup method
+function completed() {
+	document.removeEventListener( "DOMContentLoaded", completed );
+	window.removeEventListener( "load", completed );
+	jQuery.ready();
+}
+
+// Catch cases where $(document).ready() is called
+// after the browser event has already occurred.
+// Support: IE <=9 - 10 only
+// Older IE sometimes signals "interactive" too soon
+if ( document.readyState === "complete" ||
+	( document.readyState !== "loading" && !document.documentElement.doScroll ) ) {
+
+	// Handle it asynchronously to allow scripts the opportunity to delay ready
+	window.setTimeout( jQuery.ready );
+
+} else {
+
+	// Use the handy event callback
+	document.addEventListener( "DOMContentLoaded", completed );
+
+	// A fallback to window.onload, that will always work
+	window.addEventListener( "load", completed );
+}
+
+
+
+
+// Multifunctional method to get and set values of a collection
+// The value/s can optionally be executed if it's a function
+var access = function( elems, fn, key, value, chainable, emptyGet, raw ) {
+	var i = 0,
+		len = elems.length,
+		bulk = key == null;
+
+	// Sets many values
+	if ( toType( key ) === "object" ) {
+		chainable = true;
+		for ( i in key ) {
+			access( elems, fn, i, key[ i ], true, emptyGet, raw );
+		}
+
+	// Sets one value
+	} else if ( value !== undefined ) {
+		chainable = true;
+
+		if ( !isFunction( value ) ) {
+			raw = true;
+		}
+
+		if ( bulk ) {
+
+			// Bulk operations run against the entire set
+			if ( raw ) {
+				fn.call( elems, value );
+				fn = null;
+
+			// ...except when executing function values
+			} else {
+				bulk = fn;
+				fn = function( elem, _key, value ) {
+					return bulk.call( jQuery( elem ), value );
+				};
+			}
+		}
+
+		if ( fn ) {
+			for ( ; i < len; i++ ) {
+				fn(
+					elems[ i ], key, raw ?
+						value :
+						value.call( elems[ i ], i, fn( elems[ i ], key ) )
+				);
+			}
+		}
+	}
+
+	if ( chainable ) {
+		return elems;
+	}
+
+	// Gets
+	if ( bulk ) {
+		return fn.call( elems );
+	}
+
+	return len ? fn( elems[ 0 ], key ) : emptyGet;
+};
+
+
+// Matches dashed string for camelizing
+var rmsPrefix = /^-ms-/,
+	rdashAlpha = /-([a-z])/g;
+
+// Used by camelCase as callback to replace()
+function fcamelCase( _all, letter ) {
+	return letter.toUpperCase();
+}
+
+// Convert dashed to camelCase; used by the css and data modules
+// Support: IE <=9 - 11, Edge 12 - 15
+// Microsoft forgot to hump their vendor prefix (#9572)
+function camelCase( string ) {
+	return string.replace( rmsPrefix, "ms-" ).replace( rdashAlpha, fcamelCase );
+}
+var acceptData = function( owner ) {
+
+	// Accepts only:
+	//  - Node
+	//    - Node.ELEMENT_NODE
+	//    - Node.DOCUMENT_NODE
+	//  - Object
+	//    - Any
+	return owner.nodeType === 1 || owner.nodeType === 9 || !( +owner.nodeType );
+};
+
+
+
+
+function Data() {
+	this.expando = jQuery.expando + Data.uid++;
+}
+
+Data.uid = 1;
+
+Data.prototype = {
+
+	cache: function( owner ) {
+
+		// Check if the owner object already has a cache
+		var value = owner[ this.expando ];
+
+		// If not, create one
+		if ( !value ) {
+			value = {};
+
+			// We can accept data for non-element nodes in modern browsers,
+			// but we should not, see #8335.
+			// Always return an empty object.
+			if ( acceptData( owner ) ) {
+
+				// If it is a node unlikely to be stringify-ed or looped over
+				// use plain assignment
+				if ( owner.nodeType ) {
+					owner[ this.expando ] = value;
+
+				// Otherwise secure it in a non-enumerable property
+				// configurable must be true to allow the property to be
+				// deleted when data is removed
+				} else {
+					Object.defineProperty( owner, this.expando, {
+						value: value,
+						configurable: true
+					} );
+				}
+			}
+		}
+
+		return value;
+	},
+	set: function( owner, data, value ) {
+		var prop,
+			cache = this.cache( owner );
+
+		// Handle: [ owner, key, value ] args
+		// Always use camelCase key (gh-2257)
+		if ( typeof data === "string" ) {
+			cache[ camelCase( data ) ] = value;
+
+		// Handle: [ owner, { properties } ] args
+		} else {
+
+			// Copy the properties one-by-one to the cache object
+			for ( prop in data ) {
+				cache[ camelCase( prop ) ] = data[ prop ];
+			}
+		}
+		return cache;
+	},
+	get: function( owner, key ) {
+		return key === undefined ?
+			this.cache( owner ) :
+
+			// Always use camelCase key (gh-2257)
+			owner[ this.expando ] && owner[ this.expando ][ camelCase( key ) ];
+	},
+	access: function( owner, key, value ) {
+
+		// In cases where either:
+		//
+		//   1. No key was specified
+		//   2. A string key was specified, but no value provided
+		//
+		// Take the "read" path and allow the get method to determine
+		// which value to return, respectively either:
+		//
+		//   1. The entire cache object
+		//   2. The data stored at the key
+		//
+		if ( key === undefined ||
+				( ( key && typeof key === "string" ) && value === undefined ) ) {
+
+			return this.get( owner, key );
+		}
+
+		// When the key is not a string, or both a key and value
+		// are specified, set or extend (existing objects) with either:
+		//
+		//   1. An object of properties
+		//   2. A key and value
+		//
+		this.set( owner, key, value );
+
+		// Since the "set" path can have two possible entry points
+		// return the expected data based on which path was taken[*]
+		return value !== undefined ? value : key;
+	},
+	remove: function( owner, key ) {
+		var i,
+			cache = owner[ this.expando ];
+
+		if ( cache === undefined ) {
+			return;
+		}
+
+		if ( key !== undefined ) {
+
+			// Support array or space separated string of keys
+			if ( Array.isArray( key ) ) {
+
+				// If key is an array of keys...
+				// We always set camelCase keys, so remove that.
+				key = key.map( camelCase );
+			} else {
+				key = camelCase( key );
+
+				// If a key with the spaces exists, use it.
+				// Otherwise, create an array by matching non-whitespace
+				key = key in cache ?
+					[ key ] :
+					( key.match( rnothtmlwhite ) || [] );
+			}
+
+			i = key.length;
+
+			while ( i-- ) {
+				delete cache[ key[ i ] ];
+			}
+		}
+
+		// Remove the expando if there's no more data
+		if ( key === undefined || jQuery.isEmptyObject( cache ) ) {
+
+			// Support: Chrome <=35 - 45
+			// Webkit & Blink performance suffers when deleting properties
+			// from DOM nodes, so set to undefined instead
+			// https://bugs.chromium.org/p/chromium/issues/detail?id=378607 (bug restricted)
+			if ( owner.nodeType ) {
+				owner[ this.expando ] = undefined;
+			} else {
+				delete owner[ this.expando ];
+			}
+		}
+	},
+	hasData: function( owner ) {
+		var cache = owner[ this.expando ];
+		return cache !== undefined && !jQuery.isEmptyObject( cache );
+	}
+};
+var dataPriv = new Data();
+
+var dataUser = new Data();
+
+
+
+//	Implementation Summary
+//
+//	1. Enforce API surface and semantic compatibility with 1.9.x branch
+//	2. Improve the module's maintainability by reducing the storage
+//		paths to a single mechanism.
+//	3. Use the same single mechanism to support "private" and "user" data.
+//	4. _Never_ expose "private" data to user code (TODO: Drop _data, _removeData)
+//	5. Avoid exposing implementation details on user objects (eg. expando properties)
+//	6. Provide a clear path for implementation upgrade to WeakMap in 2014
+
+var rbrace = /^(?:\{[\w\W]*\}|\[[\w\W]*\])$/,
+	rmultiDash = /[A-Z]/g;
+
+function getData( data ) {
+	if ( data === "true" ) {
+		return true;
+	}
+
+	if ( data === "false" ) {
+		return false;
+	}
+
+	if ( data === "null" ) {
+		return null;
+	}
+
+	// Only convert to a number if it doesn't change the string
+	if ( data === +data + "" ) {
+		return +data;
+	}
+
+	if ( rbrace.test( data ) ) {
+		return JSON.parse( data );
+	}
+
+	return data;
+}
+
+function dataAttr( elem, key, data ) {
+	var name;
+
+	// If nothing was found internally, try to fetch any
+	// data from the HTML5 data-* attribute
+	if ( data === undefined && elem.nodeType === 1 ) {
+		name = "data-" + key.replace( rmultiDash, "-$&" ).toLowerCase();
+		data = elem.getAttribute( name );
+
+		if ( typeof data === "string" ) {
+			try {
+				data = getData( data );
+			} catch ( e ) {}
+
+			// Make sure we set the data so it isn't changed later
+			dataUser.set( elem, key, data );
+		} else {
+			data = undefined;
+		}
+	}
+	return data;
+}
+
+jQuery.extend( {
+	hasData: function( elem ) {
+		return dataUser.hasData( elem ) || dataPriv.hasData( elem );
+	},
+
+	data: function( elem, name, data ) {
+		return dataUser.access( elem, name, data );
+	},
+
+	removeData: function( elem, name ) {
+		dataUser.remove( elem, name );
+	},
+
+	// TODO: Now that all calls to _data and _removeData have been replaced
+	// with direct calls to dataPriv methods, these can be deprecated.
+	_data: function( elem, name, data ) {
+		return dataPriv.access( elem, name, data );
+	},
+
+	_removeData: function( elem, name ) {
+		dataPriv.remove( elem, name );
+	}
+} );
+
+jQuery.fn.extend( {
+	data: function( key, value ) {
+		var i, name, data,
+			elem = this[ 0 ],
+			attrs = elem && elem.attributes;
+
+		// Gets all values
+		if ( key === undefined ) {
+			if ( this.length ) {
+				data = dataUser.get( elem );
+
+				if ( elem.nodeType === 1 && !dataPriv.get( elem, "hasDataAttrs" ) ) {
+					i = attrs.length;
+					while ( i-- ) {
+
+						// Support: IE 11 only
+						// The attrs elements can be null (#14894)
+						if ( attrs[ i ] ) {
+							name = attrs[ i ].name;
+							if ( name.indexOf( "data-" ) === 0 ) {
+								name = camelCase( name.slice( 5 ) );
+								dataAttr( elem, name, data[ name ] );
+							}
+						}
+					}
+					dataPriv.set( elem, "hasDataAttrs", true );
+				}
+			}
+
+			return data;
+		}
+
+		// Sets multiple values
+		if ( typeof key === "object" ) {
+			return this.each( function() {
+				dataUser.set( this, key );
+			} );
+		}
+
+		return access( this, function( value ) {
+			var data;
+
+			// The calling jQuery object (element matches) is not empty
+			// (and therefore has an element appears at this[ 0 ]) and the
+			// `value` parameter was not undefined. An empty jQuery object
+			// will result in `undefined` for elem = this[ 0 ] which will
+			// throw an exception if an attempt to read a data cache is made.
+			if ( elem && value === undefined ) {
+
+				// Attempt to get data from the cache
+				// The key will always be camelCased in Data
+				data = dataUser.get( elem, key );
+				if ( data !== undefined ) {
+					return data;
+				}
+
+				// Attempt to "discover" the data in
+				// HTML5 custom data-* attrs
+				data = dataAttr( elem, key );
+				if ( data !== undefined ) {
+					return data;
+				}
+
+				// We tried really hard, but the data doesn't exist.
+				return;
+			}
+
+			// Set the data...
+			this.each( function() {
+
+				// We always store the camelCased key
+				dataUser.set( this, key, value );
+			} );
+		}, null, value, arguments.length > 1, null, true );
+	},
+
+	removeData: function( key ) {
+		return this.each( function() {
+			dataUser.remove( this, key );
+		} );
+	}
+} );
+
+
+jQuery.extend( {
+	queue: function( elem, type, data ) {
+		var queue;
+
+		if ( elem ) {
+			type = ( type || "fx" ) + "queue";
+			queue = dataPriv.get( elem, type );
+
+			// Speed up dequeue by getting out quickly if this is just a lookup
+			if ( data ) {
+				if ( !queue || Array.isArray( data ) ) {
+					queue = dataPriv.access( elem, type, jQuery.makeArray( data ) );
+				} else {
+					queue.push( data );
+				}
+			}
+			return queue || [];
+		}
+	},
+
+	dequeue: function( elem, type ) {
+		type = type || "fx";
+
+		var queue = jQuery.queue( elem, type ),
+			startLength = queue.length,
+			fn = queue.shift(),
+			hooks = jQuery._queueHooks( elem, type ),
+			next = function() {
+				jQuery.dequeue( elem, type );
+			};
+
+		// If the fx queue is dequeued, always remove the progress sentinel
+		if ( fn === "inprogress" ) {
+			fn = queue.shift();
+			startLength--;
+		}
+
+		if ( fn ) {
+
+			// Add a progress sentinel to prevent the fx queue from being
+			// automatically dequeued
+			if ( type === "fx" ) {
+				queue.unshift( "inprogress" );
+			}
+
+			// Clear up the last queue stop function
+			delete hooks.stop;
+			fn.call( elem, next, hooks );
+		}
+
+		if ( !startLength && hooks ) {
+			hooks.empty.fire();
+		}
+	},
+
+	// Not public - generate a queueHooks object, or return the current one
+	_queueHooks: function( elem, type ) {
+		var key = type + "queueHooks";
+		return dataPriv.get( elem, key ) || dataPriv.access( elem, key, {
+			empty: jQuery.Callbacks( "once memory" ).add( function() {
+				dataPriv.remove( elem, [ type + "queue", key ] );
+			} )
+		} );
+	}
+} );
+
+jQuery.fn.extend( {
+	queue: function( type, data ) {
+		var setter = 2;
+
+		if ( typeof type !== "string" ) {
+			data = type;
+			type = "fx";
+			setter--;
+		}
+
+		if ( arguments.length < setter ) {
+			return jQuery.queue( this[ 0 ], type );
+		}
+
+		return data === undefined ?
+			this :
+			this.each( function() {
+				var queue = jQuery.queue( this, type, data );
+
+				// Ensure a hooks for this queue
+				jQuery._queueHooks( this, type );
+
+				if ( type === "fx" && queue[ 0 ] !== "inprogress" ) {
+					jQuery.dequeue( this, type );
+				}
+			} );
+	},
+	dequeue: function( type ) {
+		return this.each( function() {
+			jQuery.dequeue( this, type );
+		} );
+	},
+	clearQueue: function( type ) {
+		return this.queue( type || "fx", [] );
+	},
+
+	// Get a promise resolved when queues of a certain type
+	// are emptied (fx is the type by default)
+	promise: function( type, obj ) {
+		var tmp,
+			count = 1,
+			defer = jQuery.Deferred(),
+			elements = this,
+			i = this.length,
+			resolve = function() {
+				if ( !( --count ) ) {
+					defer.resolveWith( elements, [ elements ] );
+				}
+			};
+
+		if ( typeof type !== "string" ) {
+			obj = type;
+			type = undefined;
+		}
+		type = type || "fx";
+
+		while ( i-- ) {
+			tmp = dataPriv.get( elements[ i ], type + "queueHooks" );
+			if ( tmp && tmp.empty ) {
+				count++;
+				tmp.empty.add( resolve );
+			}
+		}
+		resolve();
+		return defer.promise( obj );
+	}
+} );
+var pnum = ( /[+-]?(?:\d*\.|)\d+(?:[eE][+-]?\d+|)/ ).source;
+
+var rcssNum = new RegExp( "^(?:([+-])=|)(" + pnum + ")([a-z%]*)$", "i" );
+
+
+var cssExpand = [ "Top", "Right", "Bottom", "Left" ];
+
+var documentElement = document.documentElement;
+
+
+
+	var isAttached = function( elem ) {
+			return jQuery.contains( elem.ownerDocument, elem );
+		},
+		composed = { composed: true };
+
+	// Support: IE 9 - 11+, Edge 12 - 18+, iOS 10.0 - 10.2 only
+	// Check attachment across shadow DOM boundaries when possible (gh-3504)
+	// Support: iOS 10.0-10.2 only
+	// Early iOS 10 versions support `attachShadow` but not `getRootNode`,
+	// leading to errors. We need to check for `getRootNode`.
+	if ( documentElement.getRootNode ) {
+		isAttached = function( elem ) {
+			return jQuery.contains( elem.ownerDocument, elem ) ||
+				elem.getRootNode( composed ) === elem.ownerDocument;
+		};
+	}
+var isHiddenWithinTree = function( elem, el ) {
+
+		// isHiddenWithinTree might be called from jQuery#filter function;
+		// in that case, element will be second argument
+		elem = el || elem;
+
+		// Inline style trumps all
+		return elem.style.display === "none" ||
+			elem.style.display === "" &&
+
+			// Otherwise, check computed style
+			// Support: Firefox <=43 - 45
+			// Disconnected elements can have computed display: none, so first confirm that elem is
+			// in the document.
+			isAttached( elem ) &&
+
+			jQuery.css( elem, "display" ) === "none";
+	};
+
+
+
+function adjustCSS( elem, prop, valueParts, tween ) {
+	var adjusted, scale,
+		maxIterations = 20,
+		currentValue = tween ?
+			function() {
+				return tween.cur();
+			} :
+			function() {
+				return jQuery.css( elem, prop, "" );
+			},
+		initial = currentValue(),
+		unit = valueParts && valueParts[ 3 ] || ( jQuery.cssNumber[ prop ] ? "" : "px" ),
+
+		// Starting value computation is required for potential unit mismatches
+		initialInUnit = elem.nodeType &&
+			( jQuery.cssNumber[ prop ] || unit !== "px" && +initial ) &&
+			rcssNum.exec( jQuery.css( elem, prop ) );
+
+	if ( initialInUnit && initialInUnit[ 3 ] !== unit ) {
+
+		// Support: Firefox <=54
+		// Halve the iteration target value to prevent interference from CSS upper bounds (gh-2144)
+		initial = initial / 2;
+
+		// Trust units reported by jQuery.css
+		unit = unit || initialInUnit[ 3 ];
+
+		// Iteratively approximate from a nonzero starting point
+		initialInUnit = +initial || 1;
+
+		while ( maxIterations-- ) {
+
+			// Evaluate and update our best guess (doubling guesses that zero out).
+			// Finish if the scale equals or crosses 1 (making the old*new product non-positive).
+			jQuery.style( elem, prop, initialInUnit + unit );
+			if ( ( 1 - scale ) * ( 1 - ( scale = currentValue() / initial || 0.5 ) ) <= 0 ) {
+				maxIterations = 0;
+			}
+			initialInUnit = initialInUnit / scale;
+
+		}
+
+		initialInUnit = initialInUnit * 2;
+		jQuery.style( elem, prop, initialInUnit + unit );
+
+		// Make sure we update the tween properties later on
+		valueParts = valueParts || [];
+	}
+
+	if ( valueParts ) {
+		initialInUnit = +initialInUnit || +initial || 0;
+
+		// Apply relative offset (+=/-=) if specified
+		adjusted = valueParts[ 1 ] ?
+			initialInUnit + ( valueParts[ 1 ] + 1 ) * valueParts[ 2 ] :
+			+valueParts[ 2 ];
+		if ( tween ) {
+			tween.unit = unit;
+			tween.start = initialInUnit;
+			tween.end = adjusted;
+		}
+	}
+	return adjusted;
+}
+
+
+var defaultDisplayMap = {};
+
+function getDefaultDisplay( elem ) {
+	var temp,
+		doc = elem.ownerDocument,
+		nodeName = elem.nodeName,
+		display = defaultDisplayMap[ nodeName ];
+
+	if ( display ) {
+		return display;
+	}
+
+	temp = doc.body.appendChild( doc.createElement( nodeName ) );
+	display = jQuery.css( temp, "display" );
+
+	temp.parentNode.removeChild( temp );
+
+	if ( display === "none" ) {
+		display = "block";
+	}
+	defaultDisplayMap[ nodeName ] = display;
+
+	return display;
+}
+
+function showHide( elements, show ) {
+	var display, elem,
+		values = [],
+		index = 0,
+		length = elements.length;
+
+	// Determine new display value for elements that need to change
+	for ( ; index < length; index++ ) {
+		elem = elements[ index ];
+		if ( !elem.style ) {
+			continue;
+		}
+
+		display = elem.style.display;
+		if ( show ) {
+
+			// Since we force visibility upon cascade-hidden elements, an immediate (and slow)
+			// check is required in this first loop unless we have a nonempty display value (either
+			// inline or about-to-be-restored)
+			if ( display === "none" ) {
+				values[ index ] = dataPriv.get( elem, "display" ) || null;
+				if ( !values[ index ] ) {
+					elem.style.display = "";
+				}
+			}
+			if ( elem.style.display === "" && isHiddenWithinTree( elem ) ) {
+				values[ index ] = getDefaultDisplay( elem );
+			}
+		} else {
+			if ( display !== "none" ) {
+				values[ index ] = "none";
+
+				// Remember what we're overwriting
+				dataPriv.set( elem, "display", display );
+			}
+		}
+	}
+
+	// Set the display of the elements in a second loop to avoid constant reflow
+	for ( index = 0; index < length; index++ ) {
+		if ( values[ index ] != null ) {
+			elements[ index ].style.display = values[ index ];
+		}
+	}
+
+	return elements;
+}
+
+jQuery.fn.extend( {
+	show: function() {
+		return showHide( this, true );
+	},
+	hide: function() {
+		return showHide( this );
+	},
+	toggle: function( state ) {
+		if ( typeof state === "boolean" ) {
+			return state ? this.show() : this.hide();
+		}
+
+		return this.each( function() {
+			if ( isHiddenWithinTree( this ) ) {
+				jQuery( this ).show();
+			} else {
+				jQuery( this ).hide();
+			}
+		} );
+	}
+} );
+var rcheckableType = ( /^(?:checkbox|radio)$/i );
+
+var rtagName = ( /<([a-z][^\/\0>\x20\t\r\n\f]*)/i );
+
+var rscriptType = ( /^$|^module$|\/(?:java|ecma)script/i );
+
+
+
+( function() {
+	var fragment = document.createDocumentFragment(),
+		div = fragment.appendChild( document.createElement( "div" ) ),
+		input = document.createElement( "input" );
+
+	// Support: Android 4.0 - 4.3 only
+	// Check state lost if the name is set (#11217)
+	// Support: Windows Web Apps (WWA)
+	// `name` and `type` must use .setAttribute for WWA (#14901)
+	input.setAttribute( "type", "radio" );
+	input.setAttribute( "checked", "checked" );
+	input.setAttribute( "name", "t" );
+
+	div.appendChild( input );
+
+	// Support: Android <=4.1 only
+	// Older WebKit doesn't clone checked state correctly in fragments
+	support.checkClone = div.cloneNode( true ).cloneNode( true ).lastChild.checked;
+
+	// Support: IE <=11 only
+	// Make sure textarea (and checkbox) defaultValue is properly cloned
+	div.innerHTML = "<textarea>x</textarea>";
+	support.noCloneChecked = !!div.cloneNode( true ).lastChild.defaultValue;
+
+	// Support: IE <=9 only
+	// IE <=9 replaces <option> tags with their contents when inserted outside of
+	// the select element.
+	div.innerHTML = "<option></option>";
+	support.option = !!div.lastChild;
+} )();
+
+
+// We have to close these tags to support XHTML (#13200)
+var wrapMap = {
+
+	// XHTML parsers do not magically insert elements in the
+	// same way that tag soup parsers do. So we cannot shorten
+	// this by omitting <tbody> or other required elements.
+	thead: [ 1, "<table>", "</table>" ],
+	col: [ 2, "<table><colgroup>", "</colgroup></table>" ],
+	tr: [ 2, "<table><tbody>", "</tbody></table>" ],
+	td: [ 3, "<table><tbody><tr>", "</tr></tbody></table>" ],
+
+	_default: [ 0, "", "" ]
+};
+
+wrapMap.tbody = wrapMap.tfoot = wrapMap.colgroup = wrapMap.caption = wrapMap.thead;
+wrapMap.th = wrapMap.td;
+
+// Support: IE <=9 only
+if ( !support.option ) {
+	wrapMap.optgroup = wrapMap.option = [ 1, "<select multiple='multiple'>", "</select>" ];
+}
+
+
+function getAll( context, tag ) {
+
+	// Support: IE <=9 - 11 only
+	// Use typeof to avoid zero-argument method invocation on host objects (#15151)
+	var ret;
+
+	if ( typeof context.getElementsByTagName !== "undefined" ) {
+		ret = context.getElementsByTagName( tag || "*" );
+
+	} else if ( typeof context.querySelectorAll !== "undefined" ) {
+		ret = context.querySelectorAll( tag || "*" );
+
+	} else {
+		ret = [];
+	}
+
+	if ( tag === undefined || tag && nodeName( context, tag ) ) {
+		return jQuery.merge( [ context ], ret );
+	}
+
+	return ret;
+}
+
+
+// Mark scripts as having already been evaluated
+function setGlobalEval( elems, refElements ) {
+	var i = 0,
+		l = elems.length;
+
+	for ( ; i < l; i++ ) {
+		dataPriv.set(
+			elems[ i ],
+			"globalEval",
+			!refElements || dataPriv.get( refElements[ i ], "globalEval" )
+		);
+	}
+}
+
+
+var rhtml = /<|&#?\w+;/;
+
+function buildFragment( elems, context, scripts, selection, ignored ) {
+	var elem, tmp, tag, wrap, attached, j,
+		fragment = context.createDocumentFragment(),
+		nodes = [],
+		i = 0,
+		l = elems.length;
+
+	for ( ; i < l; i++ ) {
+		elem = elems[ i ];
+
+		if ( elem || elem === 0 ) {
+
+			// Add nodes directly
+			if ( toType( elem ) === "object" ) {
+
+				// Support: Android <=4.0 only, PhantomJS 1 only
+				// push.apply(_, arraylike) throws on ancient WebKit
+				jQuery.merge( nodes, elem.nodeType ? [ elem ] : elem );
+
+			// Convert non-html into a text node
+			} else if ( !rhtml.test( elem ) ) {
+				nodes.push( context.createTextNode( elem ) );
+
+			// Convert html into DOM nodes
+			} else {
+				tmp = tmp || fragment.appendChild( context.createElement( "div" ) );
+
+				// Deserialize a standard representation
+				tag = ( rtagName.exec( elem ) || [ "", "" ] )[ 1 ].toLowerCase();
+				wrap = wrapMap[ tag ] || wrapMap._default;
+				tmp.innerHTML = wrap[ 1 ] + jQuery.htmlPrefilter( elem ) + wrap[ 2 ];
+
+				// Descend through wrappers to the right content
+				j = wrap[ 0 ];
+				while ( j-- ) {
+					tmp = tmp.lastChild;
+				}
+
+				// Support: Android <=4.0 only, PhantomJS 1 only
+				// push.apply(_, arraylike) throws on ancient WebKit
+				jQuery.merge( nodes, tmp.childNodes );
+
+				// Remember the top-level container
+				tmp = fragment.firstChild;
+
+				// Ensure the created nodes are orphaned (#12392)
+				tmp.textContent = "";
+			}
+		}
+	}
+
+	// Remove wrapper from fragment
+	fragment.textContent = "";
+
+	i = 0;
+	while ( ( elem = nodes[ i++ ] ) ) {
+
+		// Skip elements already in the context collection (trac-4087)
+		if ( selection && jQuery.inArray( elem, selection ) > -1 ) {
+			if ( ignored ) {
+				ignored.push( elem );
+			}
+			continue;
+		}
+
+		attached = isAttached( elem );
+
+		// Append to fragment
+		tmp = getAll( fragment.appendChild( elem ), "script" );
+
+		// Preserve script evaluation history
+		if ( attached ) {
+			setGlobalEval( tmp );
+		}
+
+		// Capture executables
+		if ( scripts ) {
+			j = 0;
+			while ( ( elem = tmp[ j++ ] ) ) {
+				if ( rscriptType.test( elem.type || "" ) ) {
+					scripts.push( elem );
+				}
+			}
+		}
+	}
+
+	return fragment;
+}
+
+
+var rtypenamespace = /^([^.]*)(?:\.(.+)|)/;
+
+function returnTrue() {
+	return true;
+}
+
+function returnFalse() {
+	return false;
+}
+
+// Support: IE <=9 - 11+
+// focus() and blur() are asynchronous, except when they are no-op.
+// So expect focus to be synchronous when the element is already active,
+// and blur to be synchronous when the element is not already active.
+// (focus and blur are always synchronous in other supported browsers,
+// this just defines when we can count on it).
+function expectSync( elem, type ) {
+	return ( elem === safeActiveElement() ) === ( type === "focus" );
+}
+
+// Support: IE <=9 only
+// Accessing document.activeElement can throw unexpectedly
+// https://bugs.jquery.com/ticket/13393
+function safeActiveElement() {
+	try {
+		return document.activeElement;
+	} catch ( err ) { }
+}
+
+function on( elem, types, selector, data, fn, one ) {
+	var origFn, type;
+
+	// Types can be a map of types/handlers
+	if ( typeof types === "object" ) {
+
+		// ( types-Object, selector, data )
+		if ( typeof selector !== "string" ) {
+
+			// ( types-Object, data )
+			data = data || selector;
+			selector = undefined;
+		}
+		for ( type in types ) {
+			on( elem, type, selector, data, types[ type ], one );
+		}
+		return elem;
+	}
+
+	if ( data == null && fn == null ) {
+
+		// ( types, fn )
+		fn = selector;
+		data = selector = undefined;
+	} else if ( fn == null ) {
+		if ( typeof selector === "string" ) {
+
+			// ( types, selector, fn )
+			fn = data;
+			data = undefined;
+		} else {
+
+			// ( types, data, fn )
+			fn = data;
+			data = selector;
+			selector = undefined;
+		}
+	}
+	if ( fn === false ) {
+		fn = returnFalse;
+	} else if ( !fn ) {
+		return elem;
+	}
+
+	if ( one === 1 ) {
+		origFn = fn;
+		fn = function( event ) {
+
+			// Can use an empty set, since event contains the info
+			jQuery().off( event );
+			return origFn.apply( this, arguments );
+		};
+
+		// Use same guid so caller can remove using origFn
+		fn.guid = origFn.guid || ( origFn.guid = jQuery.guid++ );
+	}
+	return elem.each( function() {
+		jQuery.event.add( this, types, fn, data, selector );
+	} );
+}
+
+/*
+ * Helper functions for managing events -- not part of the public interface.
+ * Props to Dean Edwards' addEvent library for many of the ideas.
+ */
+jQuery.event = {
+
+	global: {},
+
+	add: function( elem, types, handler, data, selector ) {
+
+		var handleObjIn, eventHandle, tmp,
+			events, t, handleObj,
+			special, handlers, type, namespaces, origType,
+			elemData = dataPriv.get( elem );
+
+		// Only attach events to objects that accept data
+		if ( !acceptData( elem ) ) {
+			return;
+		}
+
+		// Caller can pass in an object of custom data in lieu of the handler
+		if ( handler.handler ) {
+			handleObjIn = handler;
+			handler = handleObjIn.handler;
+			selector = handleObjIn.selector;
+		}
+
+		// Ensure that invalid selectors throw exceptions at attach time
+		// Evaluate against documentElement in case elem is a non-element node (e.g., document)
+		if ( selector ) {
+			jQuery.find.matchesSelector( documentElement, selector );
+		}
+
+		// Make sure that the handler has a unique ID, used to find/remove it later
+		if ( !handler.guid ) {
+			handler.guid = jQuery.guid++;
+		}
+
+		// Init the element's event structure and main handler, if this is the first
+		if ( !( events = elemData.events ) ) {
+			events = elemData.events = Object.create( null );
+		}
+		if ( !( eventHandle = elemData.handle ) ) {
+			eventHandle = elemData.handle = function( e ) {
+
+				// Discard the second event of a jQuery.event.trigger() and
+				// when an event is called after a page has unloaded
+				return typeof jQuery !== "undefined" && jQuery.event.triggered !== e.type ?
+					jQuery.event.dispatch.apply( elem, arguments ) : undefined;
+			};
+		}
+
+		// Handle multiple events separated by a space
+		types = ( types || "" ).match( rnothtmlwhite ) || [ "" ];
+		t = types.length;
+		while ( t-- ) {
+			tmp = rtypenamespace.exec( types[ t ] ) || [];
+			type = origType = tmp[ 1 ];
+			namespaces = ( tmp[ 2 ] || "" ).split( "." ).sort();
+
+			// There *must* be a type, no attaching namespace-only handlers
+			if ( !type ) {
+				continue;
+			}
+
+			// If event changes its type, use the special event handlers for the changed type
+			special = jQuery.event.special[ type ] || {};
+
+			// If selector defined, determine special event api type, otherwise given type
+			type = ( selector ? special.delegateType : special.bindType ) || type;
+
+			// Update special based on newly reset type
+			special = jQuery.event.special[ type ] || {};
+
+			// handleObj is passed to all event handlers
+			handleObj = jQuery.extend( {
+				type: type,
+				origType: origType,
+				data: data,
+				handler: handler,
+				guid: handler.guid,
+				selector: selector,
+				needsContext: selector && jQuery.expr.match.needsContext.test( selector ),
+				namespace: namespaces.join( "." )
+			}, handleObjIn );
+
+			// Init the event handler queue if we're the first
+			if ( !( handlers = events[ type ] ) ) {
+				handlers = events[ type ] = [];
+				handlers.delegateCount = 0;
+
+				// Only use addEventListener if the special events handler returns false
+				if ( !special.setup ||
+					special.setup.call( elem, data, namespaces, eventHandle ) === false ) {
+
+					if ( elem.addEventListener ) {
+						elem.addEventListener( type, eventHandle );
+					}
+				}
+			}
+
+			if ( special.add ) {
+				special.add.call( elem, handleObj );
+
+				if ( !handleObj.handler.guid ) {
+					handleObj.handler.guid = handler.guid;
+				}
+			}
+
+			// Add to the element's handler list, delegates in front
+			if ( selector ) {
+				handlers.splice( handlers.delegateCount++, 0, handleObj );
+			} else {
+				handlers.push( handleObj );
+			}
+
+			// Keep track of which events have ever been used, for event optimization
+			jQuery.event.global[ type ] = true;
+		}
+
+	},
+
+	// Detach an event or set of events from an element
+	remove: function( elem, types, handler, selector, mappedTypes ) {
+
+		var j, origCount, tmp,
+			events, t, handleObj,
+			special, handlers, type, namespaces, origType,
+			elemData = dataPriv.hasData( elem ) && dataPriv.get( elem );
+
+		if ( !elemData || !( events = elemData.events ) ) {
+			return;
+		}
+
+		// Once for each type.namespace in types; type may be omitted
+		types = ( types || "" ).match( rnothtmlwhite ) || [ "" ];
+		t = types.length;
+		while ( t-- ) {
+			tmp = rtypenamespace.exec( types[ t ] ) || [];
+			type = origType = tmp[ 1 ];
+			namespaces = ( tmp[ 2 ] || "" ).split( "." ).sort();
+
+			// Unbind all events (on this namespace, if provided) for the element
+			if ( !type ) {
+				for ( type in events ) {
+					jQuery.event.remove( elem, type + types[ t ], handler, selector, true );
+				}
+				continue;
+			}
+
+			special = jQuery.event.special[ type ] || {};
+			type = ( selector ? special.delegateType : special.bindType ) || type;
+			handlers = events[ type ] || [];
+			tmp = tmp[ 2 ] &&
+				new RegExp( "(^|\\.)" + namespaces.join( "\\.(?:.*\\.|)" ) + "(\\.|$)" );
+
+			// Remove matching events
+			origCount = j = handlers.length;
+			while ( j-- ) {
+				handleObj = handlers[ j ];
+
+				if ( ( mappedTypes || origType === handleObj.origType ) &&
+					( !handler || handler.guid === handleObj.guid ) &&
+					( !tmp || tmp.test( handleObj.namespace ) ) &&
+					( !selector || selector === handleObj.selector ||
+						selector === "**" && handleObj.selector ) ) {
+					handlers.splice( j, 1 );
+
+					if ( handleObj.selector ) {
+						handlers.delegateCount--;
+					}
+					if ( special.remove ) {
+						special.remove.call( elem, handleObj );
+					}
+				}
+			}
+
+			// Remove generic event handler if we removed something and no more handlers exist
+			// (avoids potential for endless recursion during removal of special event handlers)
+			if ( origCount && !handlers.length ) {
+				if ( !special.teardown ||
+					special.teardown.call( elem, namespaces, elemData.handle ) === false ) {
+
+					jQuery.removeEvent( elem, type, elemData.handle );
+				}
+
+				delete events[ type ];
+			}
+		}
+
+		// Remove data and the expando if it's no longer used
+		if ( jQuery.isEmptyObject( events ) ) {
+			dataPriv.remove( elem, "handle events" );
+		}
+	},
+
+	dispatch: function( nativeEvent ) {
+
+		var i, j, ret, matched, handleObj, handlerQueue,
+			args = new Array( arguments.length ),
+
+			// Make a writable jQuery.Event from the native event object
+			event = jQuery.event.fix( nativeEvent ),
+
+			handlers = (
+				dataPriv.get( this, "events" ) || Object.create( null )
+			)[ event.type ] || [],
+			special = jQuery.event.special[ event.type ] || {};
+
+		// Use the fix-ed jQuery.Event rather than the (read-only) native event
+		args[ 0 ] = event;
+
+		for ( i = 1; i < arguments.length; i++ ) {
+			args[ i ] = arguments[ i ];
+		}
+
+		event.delegateTarget = this;
+
+		// Call the preDispatch hook for the mapped type, and let it bail if desired
+		if ( special.preDispatch && special.preDispatch.call( this, event ) === false ) {
+			return;
+		}
+
+		// Determine handlers
+		handlerQueue = jQuery.event.handlers.call( this, event, handlers );
+
+		// Run delegates first; they may want to stop propagation beneath us
+		i = 0;
+		while ( ( matched = handlerQueue[ i++ ] ) && !event.isPropagationStopped() ) {
+			event.currentTarget = matched.elem;
+
+			j = 0;
+			while ( ( handleObj = matched.handlers[ j++ ] ) &&
+				!event.isImmediatePropagationStopped() ) {
+
+				// If the event is namespaced, then each handler is only invoked if it is
+				// specially universal or its namespaces are a superset of the event's.
+				if ( !event.rnamespace || handleObj.namespace === false ||
+					event.rnamespace.test( handleObj.namespace ) ) {
+
+					event.handleObj = handleObj;
+					event.data = handleObj.data;
+
+					ret = ( ( jQuery.event.special[ handleObj.origType ] || {} ).handle ||
+						handleObj.handler ).apply( matched.elem, args );
+
+					if ( ret !== undefined ) {
+						if ( ( event.result = ret ) === false ) {
+							event.preventDefault();
+							event.stopPropagation();
+						}
+					}
+				}
+			}
+		}
+
+		// Call the postDispatch hook for the mapped type
+		if ( special.postDispatch ) {
+			special.postDispatch.call( this, event );
+		}
+
+		return event.result;
+	},
+
+	handlers: function( event, handlers ) {
+		var i, handleObj, sel, matchedHandlers, matchedSelectors,
+			handlerQueue = [],
+			delegateCount = handlers.delegateCount,
+			cur = event.target;
+
+		// Find delegate handlers
+		if ( delegateCount &&
+
+			// Support: IE <=9
+			// Black-hole SVG <use> instance trees (trac-13180)
+			cur.nodeType &&
+
+			// Support: Firefox <=42
+			// Suppress spec-violating clicks indicating a non-primary pointer button (trac-3861)
+			// https://www.w3.org/TR/DOM-Level-3-Events/#event-type-click
+			// Support: IE 11 only
+			// ...but not arrow key "clicks" of radio inputs, which can have `button` -1 (gh-2343)
+			!( event.type === "click" && event.button >= 1 ) ) {
+
+			for ( ; cur !== this; cur = cur.parentNode || this ) {
+
+				// Don't check non-elements (#13208)
+				// Don't process clicks on disabled elements (#6911, #8165, #11382, #11764)
+				if ( cur.nodeType === 1 && !( event.type === "click" && cur.disabled === true ) ) {
+					matchedHandlers = [];
+					matchedSelectors = {};
+					for ( i = 0; i < delegateCount; i++ ) {
+						handleObj = handlers[ i ];
+
+						// Don't conflict with Object.prototype properties (#13203)
+						sel = handleObj.selector + " ";
+
+						if ( matchedSelectors[ sel ] === undefined ) {
+							matchedSelectors[ sel ] = handleObj.needsContext ?
+								jQuery( sel, this ).index( cur ) > -1 :
+								jQuery.find( sel, this, null, [ cur ] ).length;
+						}
+						if ( matchedSelectors[ sel ] ) {
+							matchedHandlers.push( handleObj );
+						}
+					}
+					if ( matchedHandlers.length ) {
+						handlerQueue.push( { elem: cur, handlers: matchedHandlers } );
+					}
+				}
+			}
+		}
+
+		// Add the remaining (directly-bound) handlers
+		cur = this;
+		if ( delegateCount < handlers.length ) {
+			handlerQueue.push( { elem: cur, handlers: handlers.slice( delegateCount ) } );
+		}
+
+		return handlerQueue;
+	},
+
+	addProp: function( name, hook ) {
+		Object.defineProperty( jQuery.Event.prototype, name, {
+			enumerable: true,
+			configurable: true,
+
+			get: isFunction( hook ) ?
+				function() {
+					if ( this.originalEvent ) {
+						return hook( this.originalEvent );
+					}
+				} :
+				function() {
+					if ( this.originalEvent ) {
+						return this.originalEvent[ name ];
+					}
+				},
+
+			set: function( value ) {
+				Object.defineProperty( this, name, {
+					enumerable: true,
+					configurable: true,
+					writable: true,
+					value: value
+				} );
+			}
+		} );
+	},
+
+	fix: function( originalEvent ) {
+		return originalEvent[ jQuery.expando ] ?
+			originalEvent :
+			new jQuery.Event( originalEvent );
+	},
+
+	special: {
+		load: {
+
+			// Prevent triggered image.load events from bubbling to window.load
+			noBubble: true
+		},
+		click: {
+
+			// Utilize native event to ensure correct state for checkable inputs
+			setup: function( data ) {
+
+				// For mutual compressibility with _default, replace `this` access with a local var.
+				// `|| data` is dead code meant only to preserve the variable through minification.
+				var el = this || data;
+
+				// Claim the first handler
+				if ( rcheckableType.test( el.type ) &&
+					el.click && nodeName( el, "input" ) ) {
+
+					// dataPriv.set( el, "click", ... )
+					leverageNative( el, "click", returnTrue );
+				}
+
+				// Return false to allow normal processing in the caller
+				return false;
+			},
+			trigger: function( data ) {
+
+				// For mutual compressibility with _default, replace `this` access with a local var.
+				// `|| data` is dead code meant only to preserve the variable through minification.
+				var el = this || data;
+
+				// Force setup before triggering a click
+				if ( rcheckableType.test( el.type ) &&
+					el.click && nodeName( el, "input" ) ) {
+
+					leverageNative( el, "click" );
+				}
+
+				// Return non-false to allow normal event-path propagation
+				return true;
+			},
+
+			// For cross-browser consistency, suppress native .click() on links
+			// Also prevent it if we're currently inside a leveraged native-event stack
+			_default: function( event ) {
+				var target = event.target;
+				return rcheckableType.test( target.type ) &&
+					target.click && nodeName( target, "input" ) &&
+					dataPriv.get( target, "click" ) ||
+					nodeName( target, "a" );
+			}
+		},
+
+		beforeunload: {
+			postDispatch: function( event ) {
+
+				// Support: Firefox 20+
+				// Firefox doesn't alert if the returnValue field is not set.
+				if ( event.result !== undefined && event.originalEvent ) {
+					event.originalEvent.returnValue = event.result;
+				}
+			}
+		}
+	}
+};
+
+// Ensure the presence of an event listener that handles manually-triggered
+// synthetic events by interrupting progress until reinvoked in response to
+// *native* events that it fires directly, ensuring that state changes have
+// already occurred before other listeners are invoked.
+function leverageNative( el, type, expectSync ) {
+
+	// Missing expectSync indicates a trigger call, which must force setup through jQuery.event.add
+	if ( !expectSync ) {
+		if ( dataPriv.get( el, type ) === undefined ) {
+			jQuery.event.add( el, type, returnTrue );
+		}
+		return;
+	}
+
+	// Register the controller as a special universal handler for all event namespaces
+	dataPriv.set( el, type, false );
+	jQuery.event.add( el, type, {
+		namespace: false,
+		handler: function( event ) {
+			var notAsync, result,
+				saved = dataPriv.get( this, type );
+
+			if ( ( event.isTrigger & 1 ) && this[ type ] ) {
+
+				// Interrupt processing of the outer synthetic .trigger()ed event
+				// Saved data should be false in such cases, but might be a leftover capture object
+				// from an async native handler (gh-4350)
+				if ( !saved.length ) {
+
+					// Store arguments for use when handling the inner native event
+					// There will always be at least one argument (an event object), so this array
+					// will not be confused with a leftover capture object.
+					saved = slice.call( arguments );
+					dataPriv.set( this, type, saved );
+
+					// Trigger the native event and capture its result
+					// Support: IE <=9 - 11+
+					// focus() and blur() are asynchronous
+					notAsync = expectSync( this, type );
+					this[ type ]();
+					result = dataPriv.get( this, type );
+					if ( saved !== result || notAsync ) {
+						dataPriv.set( this, type, false );
+					} else {
+						result = {};
+					}
+					if ( saved !== result ) {
+
+						// Cancel the outer synthetic event
+						event.stopImmediatePropagation();
+						event.preventDefault();
+
+						// Support: Chrome 86+
+						// In Chrome, if an element having a focusout handler is blurred by
+						// clicking outside of it, it invokes the handler synchronously. If
+						// that handler calls `.remove()` on the element, the data is cleared,
+						// leaving `result` undefined. We need to guard against this.
+						return result && result.value;
+					}
+
+				// If this is an inner synthetic event for an event with a bubbling surrogate
+				// (focus or blur), assume that the surrogate already propagated from triggering the
+				// native event and prevent that from happening again here.
+				// This technically gets the ordering wrong w.r.t. to `.trigger()` (in which the
+				// bubbling surrogate propagates *after* the non-bubbling base), but that seems
+				// less bad than duplication.
+				} else if ( ( jQuery.event.special[ type ] || {} ).delegateType ) {
+					event.stopPropagation();
+				}
+
+			// If this is a native event triggered above, everything is now in order
+			// Fire an inner synthetic event with the original arguments
+			} else if ( saved.length ) {
+
+				// ...and capture the result
+				dataPriv.set( this, type, {
+					value: jQuery.event.trigger(
+
+						// Support: IE <=9 - 11+
+						// Extend with the prototype to reset the above stopImmediatePropagation()
+						jQuery.extend( saved[ 0 ], jQuery.Event.prototype ),
+						saved.slice( 1 ),
+						this
+					)
+				} );
+
+				// Abort handling of the native event
+				event.stopImmediatePropagation();
+			}
+		}
+	} );
+}
+
+jQuery.removeEvent = function( elem, type, handle ) {
+
+	// This "if" is needed for plain objects
+	if ( elem.removeEventListener ) {
+		elem.removeEventListener( type, handle );
+	}
+};
+
+jQuery.Event = function( src, props ) {
+
+	// Allow instantiation without the 'new' keyword
+	if ( !( this instanceof jQuery.Event ) ) {
+		return new jQuery.Event( src, props );
+	}
+
+	// Event object
+	if ( src && src.type ) {
+		this.originalEvent = src;
+		this.type = src.type;
+
+		// Events bubbling up the document may have been marked as prevented
+		// by a handler lower down the tree; reflect the correct value.
+		this.isDefaultPrevented = src.defaultPrevented ||
+				src.defaultPrevented === undefined &&
+
+				// Support: Android <=2.3 only
+				src.returnValue === false ?
+			returnTrue :
+			returnFalse;
+
+		// Create target properties
+		// Support: Safari <=6 - 7 only
+		// Target should not be a text node (#504, #13143)
+		this.target = ( src.target && src.target.nodeType === 3 ) ?
+			src.target.parentNode :
+			src.target;
+
+		this.currentTarget = src.currentTarget;
+		this.relatedTarget = src.relatedTarget;
+
+	// Event type
+	} else {
+		this.type = src;
+	}
+
+	// Put explicitly provided properties onto the event object
+	if ( props ) {
+		jQuery.extend( this, props );
+	}
+
+	// Create a timestamp if incoming event doesn't have one
+	this.timeStamp = src && src.timeStamp || Date.now();
+
+	// Mark it as fixed
+	this[ jQuery.expando ] = true;
+};
+
+// jQuery.Event is based on DOM3 Events as specified by the ECMAScript Language Binding
+// https://www.w3.org/TR/2003/WD-DOM-Level-3-Events-20030331/ecma-script-binding.html
+jQuery.Event.prototype = {
+	constructor: jQuery.Event,
+	isDefaultPrevented: returnFalse,
+	isPropagationStopped: returnFalse,
+	isImmediatePropagationStopped: returnFalse,
+	isSimulated: false,
+
+	preventDefault: function() {
+		var e = this.originalEvent;
+
+		this.isDefaultPrevented = returnTrue;
+
+		if ( e && !this.isSimulated ) {
+			e.preventDefault();
+		}
+	},
+	stopPropagation: function() {
+		var e = this.originalEvent;
+
+		this.isPropagationStopped = returnTrue;
+
+		if ( e && !this.isSimulated ) {
+			e.stopPropagation();
+		}
+	},
+	stopImmediatePropagation: function() {
+		var e = this.originalEvent;
+
+		this.isImmediatePropagationStopped = returnTrue;
+
+		if ( e && !this.isSimulated ) {
+			e.stopImmediatePropagation();
+		}
+
+		this.stopPropagation();
+	}
+};
+
+// Includes all common event props including KeyEvent and MouseEvent specific props
+jQuery.each( {
+	altKey: true,
+	bubbles: true,
+	cancelable: true,
+	changedTouches: true,
+	ctrlKey: true,
+	detail: true,
+	eventPhase: true,
+	metaKey: true,
+	pageX: true,
+	pageY: true,
+	shiftKey: true,
+	view: true,
+	"char": true,
+	code: true,
+	charCode: true,
+	key: true,
+	keyCode: true,
+	button: true,
+	buttons: true,
+	clientX: true,
+	clientY: true,
+	offsetX: true,
+	offsetY: true,
+	pointerId: true,
+	pointerType: true,
+	screenX: true,
+	screenY: true,
+	targetTouches: true,
+	toElement: true,
+	touches: true,
+	which: true
+}, jQuery.event.addProp );
+
+jQuery.each( { focus: "focusin", blur: "focusout" }, function( type, delegateType ) {
+	jQuery.event.special[ type ] = {
+
+		// Utilize native event if possible so blur/focus sequence is correct
+		setup: function() {
+
+			// Claim the first handler
+			// dataPriv.set( this, "focus", ... )
+			// dataPriv.set( this, "blur", ... )
+			leverageNative( this, type, expectSync );
+
+			// Return false to allow normal processing in the caller
+			return false;
+		},
+		trigger: function() {
+
+			// Force setup before trigger
+			leverageNative( this, type );
+
+			// Return non-false to allow normal event-path propagation
+			return true;
+		},
+
+		// Suppress native focus or blur as it's already being fired
+		// in leverageNative.
+		_default: function() {
+			return true;
+		},
+
+		delegateType: delegateType
+	};
+} );
+
+// Create mouseenter/leave events using mouseover/out and event-time checks
+// so that event delegation works in jQuery.
+// Do the same for pointerenter/pointerleave and pointerover/pointerout
+//
+// Support: Safari 7 only
+// Safari sends mouseenter too often; see:
+// https://bugs.chromium.org/p/chromium/issues/detail?id=470258
+// for the description of the bug (it existed in older Chrome versions as well).
+jQuery.each( {
+	mouseenter: "mouseover",
+	mouseleave: "mouseout",
+	pointerenter: "pointerover",
+	pointerleave: "pointerout"
+}, function( orig, fix ) {
+	jQuery.event.special[ orig ] = {
+		delegateType: fix,
+		bindType: fix,
+
+		handle: function( event ) {
+			var ret,
+				target = this,
+				related = event.relatedTarget,
+				handleObj = event.handleObj;
+
+			// For mouseenter/leave call the handler if related is outside the target.
+			// NB: No relatedTarget if the mouse left/entered the browser window
+			if ( !related || ( related !== target && !jQuery.contains( target, related ) ) ) {
+				event.type = handleObj.origType;
+				ret = handleObj.handler.apply( this, arguments );
+				event.type = fix;
+			}
+			return ret;
+		}
+	};
+} );
+
+jQuery.fn.extend( {
+
+	on: function( types, selector, data, fn ) {
+		return on( this, types, selector, data, fn );
+	},
+	one: function( types, selector, data, fn ) {
+		return on( this, types, selector, data, fn, 1 );
+	},
+	off: function( types, selector, fn ) {
+		var handleObj, type;
+		if ( types && types.preventDefault && types.handleObj ) {
+
+			// ( event )  dispatched jQuery.Event
+			handleObj = types.handleObj;
+			jQuery( types.delegateTarget ).off(
+				handleObj.namespace ?
+					handleObj.origType + "." + handleObj.namespace :
+					handleObj.origType,
+				handleObj.selector,
+				handleObj.handler
+			);
+			return this;
+		}
+		if ( typeof types === "object" ) {
+
+			// ( types-object [, selector] )
+			for ( type in types ) {
+				this.off( type, selector, types[ type ] );
+			}
+			return this;
+		}
+		if ( selector === false || typeof selector === "function" ) {
+
+			// ( types [, fn] )
+			fn = selector;
+			selector = undefined;
+		}
+		if ( fn === false ) {
+			fn = returnFalse;
+		}
+		return this.each( function() {
+			jQuery.event.remove( this, types, fn, selector );
+		} );
+	}
+} );
+
+
+var
+
+	// Support: IE <=10 - 11, Edge 12 - 13 only
+	// In IE/Edge using regex groups here causes severe slowdowns.
+	// See https://connect.microsoft.com/IE/feedback/details/1736512/
+	rnoInnerhtml = /<script|<style|<link/i,
+
+	// checked="checked" or checked
+	rchecked = /checked\s*(?:[^=]|=\s*.checked.)/i,
+	rcleanScript = /^\s*<!(?:\[CDATA\[|--)|(?:\]\]|--)>\s*$/g;
+
+// Prefer a tbody over its parent table for containing new rows
+function manipulationTarget( elem, content ) {
+	if ( nodeName( elem, "table" ) &&
+		nodeName( content.nodeType !== 11 ? content : content.firstChild, "tr" ) ) {
+
+		return jQuery( elem ).children( "tbody" )[ 0 ] || elem;
+	}
+
+	return elem;
+}
+
+// Replace/restore the type attribute of script elements for safe DOM manipulation
+function disableScript( elem ) {
+	elem.type = ( elem.getAttribute( "type" ) !== null ) + "/" + elem.type;
+	return elem;
+}
+function restoreScript( elem ) {
+	if ( ( elem.type || "" ).slice( 0, 5 ) === "true/" ) {
+		elem.type = elem.type.slice( 5 );
+	} else {
+		elem.removeAttribute( "type" );
+	}
+
+	return elem;
+}
+
+function cloneCopyEvent( src, dest ) {
+	var i, l, type, pdataOld, udataOld, udataCur, events;
+
+	if ( dest.nodeType !== 1 ) {
+		return;
+	}
+
+	// 1. Copy private data: events, handlers, etc.
+	if ( dataPriv.hasData( src ) ) {
+		pdataOld = dataPriv.get( src );
+		events = pdataOld.events;
+
+		if ( events ) {
+			dataPriv.remove( dest, "handle events" );
+
+			for ( type in events ) {
+				for ( i = 0, l = events[ type ].length; i < l; i++ ) {
+					jQuery.event.add( dest, type, events[ type ][ i ] );
+				}
+			}
+		}
+	}
+
+	// 2. Copy user data
+	if ( dataUser.hasData( src ) ) {
+		udataOld = dataUser.access( src );
+		udataCur = jQuery.extend( {}, udataOld );
+
+		dataUser.set( dest, udataCur );
+	}
+}
+
+// Fix IE bugs, see support tests
+function fixInput( src, dest ) {
+	var nodeName = dest.nodeName.toLowerCase();
+
+	// Fails to persist the checked state of a cloned checkbox or radio button.
+	if ( nodeName === "input" && rcheckableType.test( src.type ) ) {
+		dest.checked = src.checked;
+
+	// Fails to return the selected option to the default selected state when cloning options
+	} else if ( nodeName === "input" || nodeName === "textarea" ) {
+		dest.defaultValue = src.defaultValue;
+	}
+}
+
+function domManip( collection, args, callback, ignored ) {
+
+	// Flatten any nested arrays
+	args = flat( args );
+
+	var fragment, first, scripts, hasScripts, node, doc,
+		i = 0,
+		l = collection.length,
+		iNoClone = l - 1,
+		value = args[ 0 ],
+		valueIsFunction = isFunction( value );
+
+	// We can't cloneNode fragments that contain checked, in WebKit
+	if ( valueIsFunction ||
+			( l > 1 && typeof value === "string" &&
+				!support.checkClone && rchecked.test( value ) ) ) {
+		return collection.each( function( index ) {
+			var self = collection.eq( index );
+			if ( valueIsFunction ) {
+				args[ 0 ] = value.call( this, index, self.html() );
+			}
+			domManip( self, args, callback, ignored );
+		} );
+	}
+
+	if ( l ) {
+		fragment = buildFragment( args, collection[ 0 ].ownerDocument, false, collection, ignored );
+		first = fragment.firstChild;
+
+		if ( fragment.childNodes.length === 1 ) {
+			fragment = first;
+		}
+
+		// Require either new content or an interest in ignored elements to invoke the callback
+		if ( first || ignored ) {
+			scripts = jQuery.map( getAll( fragment, "script" ), disableScript );
+			hasScripts = scripts.length;
+
+			// Use the original fragment for the last item
+			// instead of the first because it can end up
+			// being emptied incorrectly in certain situations (#8070).
+			for ( ; i < l; i++ ) {
+				node = fragment;
+
+				if ( i !== iNoClone ) {
+					node = jQuery.clone( node, true, true );
+
+					// Keep references to cloned scripts for later restoration
+					if ( hasScripts ) {
+
+						// Support: Android <=4.0 only, PhantomJS 1 only
+						// push.apply(_, arraylike) throws on ancient WebKit
+						jQuery.merge( scripts, getAll( node, "script" ) );
+					}
+				}
+
+				callback.call( collection[ i ], node, i );
+			}
+
+			if ( hasScripts ) {
+				doc = scripts[ scripts.length - 1 ].ownerDocument;
+
+				// Reenable scripts
+				jQuery.map( scripts, restoreScript );
+
+				// Evaluate executable scripts on first document insertion
+				for ( i = 0; i < hasScripts; i++ ) {
+					node = scripts[ i ];
+					if ( rscriptType.test( node.type || "" ) &&
+						!dataPriv.access( node, "globalEval" ) &&
+						jQuery.contains( doc, node ) ) {
+
+						if ( node.src && ( node.type || "" ).toLowerCase()  !== "module" ) {
+
+							// Optional AJAX dependency, but won't run scripts if not present
+							if ( jQuery._evalUrl && !node.noModule ) {
+								jQuery._evalUrl( node.src, {
+									nonce: node.nonce || node.getAttribute( "nonce" )
+								}, doc );
+							}
+						} else {
+							DOMEval( node.textContent.replace( rcleanScript, "" ), node, doc );
+						}
+					}
+				}
+			}
+		}
+	}
+
+	return collection;
+}
+
+function remove( elem, selector, keepData ) {
+	var node,
+		nodes = selector ? jQuery.filter( selector, elem ) : elem,
+		i = 0;
+
+	for ( ; ( node = nodes[ i ] ) != null; i++ ) {
+		if ( !keepData && node.nodeType === 1 ) {
+			jQuery.cleanData( getAll( node ) );
+		}
+
+		if ( node.parentNode ) {
+			if ( keepData && isAttached( node ) ) {
+				setGlobalEval( getAll( node, "script" ) );
+			}
+			node.parentNode.removeChild( node );
+		}
+	}
+
+	return elem;
+}
+
+jQuery.extend( {
+	htmlPrefilter: function( html ) {
+		return html;
+	},
+
+	clone: function( elem, dataAndEvents, deepDataAndEvents ) {
+		var i, l, srcElements, destElements,
+			clone = elem.cloneNode( true ),
+			inPage = isAttached( elem );
+
+		// Fix IE cloning issues
+		if ( !support.noCloneChecked && ( elem.nodeType === 1 || elem.nodeType === 11 ) &&
+				!jQuery.isXMLDoc( elem ) ) {
+
+			// We eschew Sizzle here for performance reasons: https://jsperf.com/getall-vs-sizzle/2
+			destElements = getAll( clone );
+			srcElements = getAll( elem );
+
+			for ( i = 0, l = srcElements.length; i < l; i++ ) {
+				fixInput( srcElements[ i ], destElements[ i ] );
+			}
+		}
+
+		// Copy the events from the original to the clone
+		if ( dataAndEvents ) {
+			if ( deepDataAndEvents ) {
+				srcElements = srcElements || getAll( elem );
+				destElements = destElements || getAll( clone );
+
+				for ( i = 0, l = srcElements.length; i < l; i++ ) {
+					cloneCopyEvent( srcElements[ i ], destElements[ i ] );
+				}
+			} else {
+				cloneCopyEvent( elem, clone );
+			}
+		}
+
+		// Preserve script evaluation history
+		destElements = getAll( clone, "script" );
+		if ( destElements.length > 0 ) {
+			setGlobalEval( destElements, !inPage && getAll( elem, "script" ) );
+		}
+
+		// Return the cloned set
+		return clone;
+	},
+
+	cleanData: function( elems ) {
+		var data, elem, type,
+			special = jQuery.event.special,
+			i = 0;
+
+		for ( ; ( elem = elems[ i ] ) !== undefined; i++ ) {
+			if ( acceptData( elem ) ) {
+				if ( ( data = elem[ dataPriv.expando ] ) ) {
+					if ( data.events ) {
+						for ( type in data.events ) {
+							if ( special[ type ] ) {
+								jQuery.event.remove( elem, type );
+
+							// This is a shortcut to avoid jQuery.event.remove's overhead
+							} else {
+								jQuery.removeEvent( elem, type, data.handle );
+							}
+						}
+					}
+
+					// Support: Chrome <=35 - 45+
+					// Assign undefined instead of using delete, see Data#remove
+					elem[ dataPriv.expando ] = undefined;
+				}
+				if ( elem[ dataUser.expando ] ) {
+
+					// Support: Chrome <=35 - 45+
+					// Assign undefined instead of using delete, see Data#remove
+					elem[ dataUser.expando ] = undefined;
+				}
+			}
+		}
+	}
+} );
+
+jQuery.fn.extend( {
+	detach: function( selector ) {
+		return remove( this, selector, true );
+	},
+
+	remove: function( selector ) {
+		return remove( this, selector );
+	},
+
+	text: function( value ) {
+		return access( this, function( value ) {
+			return value === undefined ?
+				jQuery.text( this ) :
+				this.empty().each( function() {
+					if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) {
+						this.textContent = value;
+					}
+				} );
+		}, null, value, arguments.length );
+	},
+
+	append: function() {
+		return domManip( this, arguments, function( elem ) {
+			if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) {
+				var target = manipulationTarget( this, elem );
+				target.appendChild( elem );
+			}
+		} );
+	},
+
+	prepend: function() {
+		return domManip( this, arguments, function( elem ) {
+			if ( this.nodeType === 1 || this.nodeType === 11 || this.nodeType === 9 ) {
+				var target = manipulationTarget( this, elem );
+				target.insertBefore( elem, target.firstChild );
+			}
+		} );
+	},
+
+	before: function() {
+		return domManip( this, arguments, function( elem ) {
+			if ( this.parentNode ) {
+				this.parentNode.insertBefore( elem, this );
+			}
+		} );
+	},
+
+	after: function() {
+		return domManip( this, arguments, function( elem ) {
+			if ( this.parentNode ) {
+				this.parentNode.insertBefore( elem, this.nextSibling );
+			}
+		} );
+	},
+
+	empty: function() {
+		var elem,
+			i = 0;
+
+		for ( ; ( elem = this[ i ] ) != null; i++ ) {
+			if ( elem.nodeType === 1 ) {
+
+				// Prevent memory leaks
+				jQuery.cleanData( getAll( elem, false ) );
+
+				// Remove any remaining nodes
+				elem.textContent = "";
+			}
+		}
+
+		return this;
+	},
+
+	clone: function( dataAndEvents, deepDataAndEvents ) {
+		dataAndEvents = dataAndEvents == null ? false : dataAndEvents;
+		deepDataAndEvents = deepDataAndEvents == null ? dataAndEvents : deepDataAndEvents;
+
+		return this.map( function() {
+			return jQuery.clone( this, dataAndEvents, deepDataAndEvents );
+		} );
+	},
+
+	html: function( value ) {
+		return access( this, function( value ) {
+			var elem = this[ 0 ] || {},
+				i = 0,
+				l = this.length;
+
+			if ( value === undefined && elem.nodeType === 1 ) {
+				return elem.innerHTML;
+			}
+
+			// See if we can take a shortcut and just use innerHTML
+			if ( typeof value === "string" && !rnoInnerhtml.test( value ) &&
+				!wrapMap[ ( rtagName.exec( value ) || [ "", "" ] )[ 1 ].toLowerCase() ] ) {
+
+				value = jQuery.htmlPrefilter( value );
+
+				try {
+					for ( ; i < l; i++ ) {
+						elem = this[ i ] || {};
+
+						// Remove element nodes and prevent memory leaks
+						if ( elem.nodeType === 1 ) {
+							jQuery.cleanData( getAll( elem, false ) );
+							elem.innerHTML = value;
+						}
+					}
+
+					elem = 0;
+
+				// If using innerHTML throws an exception, use the fallback method
+				} catch ( e ) {}
+			}
+
+			if ( elem ) {
+				this.empty().append( value );
+			}
+		}, null, value, arguments.length );
+	},
+
+	replaceWith: function() {
+		var ignored = [];
+
+		// Make the changes, replacing each non-ignored context element with the new content
+		return domManip( this, arguments, function( elem ) {
+			var parent = this.parentNode;
+
+			if ( jQuery.inArray( this, ignored ) < 0 ) {
+				jQuery.cleanData( getAll( this ) );
+				if ( parent ) {
+					parent.replaceChild( elem, this );
+				}
+			}
+
+		// Force callback invocation
+		}, ignored );
+	}
+} );
+
+jQuery.each( {
+	appendTo: "append",
+	prependTo: "prepend",
+	insertBefore: "before",
+	insertAfter: "after",
+	replaceAll: "replaceWith"
+}, function( name, original ) {
+	jQuery.fn[ name ] = function( selector ) {
+		var elems,
+			ret = [],
+			insert = jQuery( selector ),
+			last = insert.length - 1,
+			i = 0;
+
+		for ( ; i <= last; i++ ) {
+			elems = i === last ? this : this.clone( true );
+			jQuery( insert[ i ] )[ original ]( elems );
+
+			// Support: Android <=4.0 only, PhantomJS 1 only
+			// .get() because push.apply(_, arraylike) throws on ancient WebKit
+			push.apply( ret, elems.get() );
+		}
+
+		return this.pushStack( ret );
+	};
+} );
+var rnumnonpx = new RegExp( "^(" + pnum + ")(?!px)[a-z%]+$", "i" );
+
+var getStyles = function( elem ) {
+
+		// Support: IE <=11 only, Firefox <=30 (#15098, #14150)
+		// IE throws on elements created in popups
+		// FF meanwhile throws on frame elements through "defaultView.getComputedStyle"
+		var view = elem.ownerDocument.defaultView;
+
+		if ( !view || !view.opener ) {
+			view = window;
+		}
+
+		return view.getComputedStyle( elem );
+	};
+
+var swap = function( elem, options, callback ) {
+	var ret, name,
+		old = {};
+
+	// Remember the old values, and insert the new ones
+	for ( name in options ) {
+		old[ name ] = elem.style[ name ];
+		elem.style[ name ] = options[ name ];
+	}
+
+	ret = callback.call( elem );
+
+	// Revert the old values
+	for ( name in options ) {
+		elem.style[ name ] = old[ name ];
+	}
+
+	return ret;
+};
+
+
+var rboxStyle = new RegExp( cssExpand.join( "|" ), "i" );
+
+
+
+( function() {
+
+	// Executing both pixelPosition & boxSizingReliable tests require only one layout
+	// so they're executed at the same time to save the second computation.
+	function computeStyleTests() {
+
+		// This is a singleton, we need to execute it only once
+		if ( !div ) {
+			return;
+		}
+
+		container.style.cssText = "position:absolute;left:-11111px;width:60px;" +
+			"margin-top:1px;padding:0;border:0";
+		div.style.cssText =
+			"position:relative;display:block;box-sizing:border-box;overflow:scroll;" +
+			"margin:auto;border:1px;padding:1px;" +
+			"width:60%;top:1%";
+		documentElement.appendChild( container ).appendChild( div );
+
+		var divStyle = window.getComputedStyle( div );
+		pixelPositionVal = divStyle.top !== "1%";
+
+		// Support: Android 4.0 - 4.3 only, Firefox <=3 - 44
+		reliableMarginLeftVal = roundPixelMeasures( divStyle.marginLeft ) === 12;
+
+		// Support: Android 4.0 - 4.3 only, Safari <=9.1 - 10.1, iOS <=7.0 - 9.3
+		// Some styles come back with percentage values, even though they shouldn't
+		div.style.right = "60%";
+		pixelBoxStylesVal = roundPixelMeasures( divStyle.right ) === 36;
+
+		// Support: IE 9 - 11 only
+		// Detect misreporting of content dimensions for box-sizing:border-box elements
+		boxSizingReliableVal = roundPixelMeasures( divStyle.width ) === 36;
+
+		// Support: IE 9 only
+		// Detect overflow:scroll screwiness (gh-3699)
+		// Support: Chrome <=64
+		// Don't get tricked when zoom affects offsetWidth (gh-4029)
+		div.style.position = "absolute";
+		scrollboxSizeVal = roundPixelMeasures( div.offsetWidth / 3 ) === 12;
+
+		documentElement.removeChild( container );
+
+		// Nullify the div so it wouldn't be stored in the memory and
+		// it will also be a sign that checks already performed
+		div = null;
+	}
+
+	function roundPixelMeasures( measure ) {
+		return Math.round( parseFloat( measure ) );
+	}
+
+	var pixelPositionVal, boxSizingReliableVal, scrollboxSizeVal, pixelBoxStylesVal,
+		reliableTrDimensionsVal, reliableMarginLeftVal,
+		container = document.createElement( "div" ),
+		div = document.createElement( "div" );
+
+	// Finish early in limited (non-browser) environments
+	if ( !div.style ) {
+		return;
+	}
+
+	// Support: IE <=9 - 11 only
+	// Style of cloned element affects source element cloned (#8908)
+	div.style.backgroundClip = "content-box";
+	div.cloneNode( true ).style.backgroundClip = "";
+	support.clearCloneStyle = div.style.backgroundClip === "content-box";
+
+	jQuery.extend( support, {
+		boxSizingReliable: function() {
+			computeStyleTests();
+			return boxSizingReliableVal;
+		},
+		pixelBoxStyles: function() {
+			computeStyleTests();
+			return pixelBoxStylesVal;
+		},
+		pixelPosition: function() {
+			computeStyleTests();
+			return pixelPositionVal;
+		},
+		reliableMarginLeft: function() {
+			computeStyleTests();
+			return reliableMarginLeftVal;
+		},
+		scrollboxSize: function() {
+			computeStyleTests();
+			return scrollboxSizeVal;
+		},
+
+		// Support: IE 9 - 11+, Edge 15 - 18+
+		// IE/Edge misreport `getComputedStyle` of table rows with width/height
+		// set in CSS while `offset*` properties report correct values.
+		// Behavior in IE 9 is more subtle than in newer versions & it passes
+		// some versions of this test; make sure not to make it pass there!
+		//
+		// Support: Firefox 70+
+		// Only Firefox includes border widths
+		// in computed dimensions. (gh-4529)
+		reliableTrDimensions: function() {
+			var table, tr, trChild, trStyle;
+			if ( reliableTrDimensionsVal == null ) {
+				table = document.createElement( "table" );
+				tr = document.createElement( "tr" );
+				trChild = document.createElement( "div" );
+
+				table.style.cssText = "position:absolute;left:-11111px;border-collapse:separate";
+				tr.style.cssText = "border:1px solid";
+
+				// Support: Chrome 86+
+				// Height set through cssText does not get applied.
+				// Computed height then comes back as 0.
+				tr.style.height = "1px";
+				trChild.style.height = "9px";
+
+				// Support: Android 8 Chrome 86+
+				// In our bodyBackground.html iframe,
+				// display for all div elements is set to "inline",
+				// which causes a problem only in Android 8 Chrome 86.
+				// Ensuring the div is display: block
+				// gets around this issue.
+				trChild.style.display = "block";
+
+				documentElement
+					.appendChild( table )
+					.appendChild( tr )
+					.appendChild( trChild );
+
+				trStyle = window.getComputedStyle( tr );
+				reliableTrDimensionsVal = ( parseInt( trStyle.height, 10 ) +
+					parseInt( trStyle.borderTopWidth, 10 ) +
+					parseInt( trStyle.borderBottomWidth, 10 ) ) === tr.offsetHeight;
+
+				documentElement.removeChild( table );
+			}
+			return reliableTrDimensionsVal;
+		}
+	} );
+} )();
+
+
+function curCSS( elem, name, computed ) {
+	var width, minWidth, maxWidth, ret,
+
+		// Support: Firefox 51+
+		// Retrieving style before computed somehow
+		// fixes an issue with getting wrong values
+		// on detached elements
+		style = elem.style;
+
+	computed = computed || getStyles( elem );
+
+	// getPropertyValue is needed for:
+	//   .css('filter') (IE 9 only, #12537)
+	//   .css('--customProperty) (#3144)
+	if ( computed ) {
+		ret = computed.getPropertyValue( name ) || computed[ name ];
+
+		if ( ret === "" && !isAttached( elem ) ) {
+			ret = jQuery.style( elem, name );
+		}
+
+		// A tribute to the "awesome hack by Dean Edwards"
+		// Android Browser returns percentage for some values,
+		// but width seems to be reliably pixels.
+		// This is against the CSSOM draft spec:
+		// https://drafts.csswg.org/cssom/#resolved-values
+		if ( !support.pixelBoxStyles() && rnumnonpx.test( ret ) && rboxStyle.test( name ) ) {
+
+			// Remember the original values
+			width = style.width;
+			minWidth = style.minWidth;
+			maxWidth = style.maxWidth;
+
+			// Put in the new values to get a computed value out
+			style.minWidth = style.maxWidth = style.width = ret;
+			ret = computed.width;
+
+			// Revert the changed values
+			style.width = width;
+			style.minWidth = minWidth;
+			style.maxWidth = maxWidth;
+		}
+	}
+
+	return ret !== undefined ?
+
+		// Support: IE <=9 - 11 only
+		// IE returns zIndex value as an integer.
+		ret + "" :
+		ret;
+}
+
+
+function addGetHookIf( conditionFn, hookFn ) {
+
+	// Define the hook, we'll check on the first run if it's really needed.
+	return {
+		get: function() {
+			if ( conditionFn() ) {
+
+				// Hook not needed (or it's not possible to use it due
+				// to missing dependency), remove it.
+				delete this.get;
+				return;
+			}
+
+			// Hook needed; redefine it so that the support test is not executed again.
+			return ( this.get = hookFn ).apply( this, arguments );
+		}
+	};
+}
+
+
+var cssPrefixes = [ "Webkit", "Moz", "ms" ],
+	emptyStyle = document.createElement( "div" ).style,
+	vendorProps = {};
+
+// Return a vendor-prefixed property or undefined
+function vendorPropName( name ) {
+
+	// Check for vendor prefixed names
+	var capName = name[ 0 ].toUpperCase() + name.slice( 1 ),
+		i = cssPrefixes.length;
+
+	while ( i-- ) {
+		name = cssPrefixes[ i ] + capName;
+		if ( name in emptyStyle ) {
+			return name;
+		}
+	}
+}
+
+// Return a potentially-mapped jQuery.cssProps or vendor prefixed property
+function finalPropName( name ) {
+	var final = jQuery.cssProps[ name ] || vendorProps[ name ];
+
+	if ( final ) {
+		return final;
+	}
+	if ( name in emptyStyle ) {
+		return name;
+	}
+	return vendorProps[ name ] = vendorPropName( name ) || name;
+}
+
+
+var
+
+	// Swappable if display is none or starts with table
+	// except "table", "table-cell", or "table-caption"
+	// See here for display values: https://developer.mozilla.org/en-US/docs/CSS/display
+	rdisplayswap = /^(none|table(?!-c[ea]).+)/,
+	rcustomProp = /^--/,
+	cssShow = { position: "absolute", visibility: "hidden", display: "block" },
+	cssNormalTransform = {
+		letterSpacing: "0",
+		fontWeight: "400"
+	};
+
+function setPositiveNumber( _elem, value, subtract ) {
+
+	// Any relative (+/-) values have already been
+	// normalized at this point
+	var matches = rcssNum.exec( value );
+	return matches ?
+
+		// Guard against undefined "subtract", e.g., when used as in cssHooks
+		Math.max( 0, matches[ 2 ] - ( subtract || 0 ) ) + ( matches[ 3 ] || "px" ) :
+		value;
+}
+
+function boxModelAdjustment( elem, dimension, box, isBorderBox, styles, computedVal ) {
+	var i = dimension === "width" ? 1 : 0,
+		extra = 0,
+		delta = 0;
+
+	// Adjustment may not be necessary
+	if ( box === ( isBorderBox ? "border" : "content" ) ) {
+		return 0;
+	}
+
+	for ( ; i < 4; i += 2 ) {
+
+		// Both box models exclude margin
+		if ( box === "margin" ) {
+			delta += jQuery.css( elem, box + cssExpand[ i ], true, styles );
+		}
+
+		// If we get here with a content-box, we're seeking "padding" or "border" or "margin"
+		if ( !isBorderBox ) {
+
+			// Add padding
+			delta += jQuery.css( elem, "padding" + cssExpand[ i ], true, styles );
+
+			// For "border" or "margin", add border
+			if ( box !== "padding" ) {
+				delta += jQuery.css( elem, "border" + cssExpand[ i ] + "Width", true, styles );
+
+			// But still keep track of it otherwise
+			} else {
+				extra += jQuery.css( elem, "border" + cssExpand[ i ] + "Width", true, styles );
+			}
+
+		// If we get here with a border-box (content + padding + border), we're seeking "content" or
+		// "padding" or "margin"
+		} else {
+
+			// For "content", subtract padding
+			if ( box === "content" ) {
+				delta -= jQuery.css( elem, "padding" + cssExpand[ i ], true, styles );
+			}
+
+			// For "content" or "padding", subtract border
+			if ( box !== "margin" ) {
+				delta -= jQuery.css( elem, "border" + cssExpand[ i ] + "Width", true, styles );
+			}
+		}
+	}
+
+	// Account for positive content-box scroll gutter when requested by providing computedVal
+	if ( !isBorderBox && computedVal >= 0 ) {
+
+		// offsetWidth/offsetHeight is a rounded sum of content, padding, scroll gutter, and border
+		// Assuming integer scroll gutter, subtract the rest and round down
+		delta += Math.max( 0, Math.ceil(
+			elem[ "offset" + dimension[ 0 ].toUpperCase() + dimension.slice( 1 ) ] -
+			computedVal -
+			delta -
+			extra -
+			0.5
+
+		// If offsetWidth/offsetHeight is unknown, then we can't determine content-box scroll gutter
+		// Use an explicit zero to avoid NaN (gh-3964)
+		) ) || 0;
+	}
+
+	return delta;
+}
+
+function getWidthOrHeight( elem, dimension, extra ) {
+
+	// Start with computed style
+	var styles = getStyles( elem ),
+
+		// To avoid forcing a reflow, only fetch boxSizing if we need it (gh-4322).
+		// Fake content-box until we know it's needed to know the true value.
+		boxSizingNeeded = !support.boxSizingReliable() || extra,
+		isBorderBox = boxSizingNeeded &&
+			jQuery.css( elem, "boxSizing", false, styles ) === "border-box",
+		valueIsBorderBox = isBorderBox,
+
+		val = curCSS( elem, dimension, styles ),
+		offsetProp = "offset" + dimension[ 0 ].toUpperCase() + dimension.slice( 1 );
+
+	// Support: Firefox <=54
+	// Return a confounding non-pixel value or feign ignorance, as appropriate.
+	if ( rnumnonpx.test( val ) ) {
+		if ( !extra ) {
+			return val;
+		}
+		val = "auto";
+	}
+
+
+	// Support: IE 9 - 11 only
+	// Use offsetWidth/offsetHeight for when box sizing is unreliable.
+	// In those cases, the computed value can be trusted to be border-box.
+	if ( ( !support.boxSizingReliable() && isBorderBox ||
+
+		// Support: IE 10 - 11+, Edge 15 - 18+
+		// IE/Edge misreport `getComputedStyle` of table rows with width/height
+		// set in CSS while `offset*` properties report correct values.
+		// Interestingly, in some cases IE 9 doesn't suffer from this issue.
+		!support.reliableTrDimensions() && nodeName( elem, "tr" ) ||
+
+		// Fall back to offsetWidth/offsetHeight when value is "auto"
+		// This happens for inline elements with no explicit setting (gh-3571)
+		val === "auto" ||
+
+		// Support: Android <=4.1 - 4.3 only
+		// Also use offsetWidth/offsetHeight for misreported inline dimensions (gh-3602)
+		!parseFloat( val ) && jQuery.css( elem, "display", false, styles ) === "inline" ) &&
+
+		// Make sure the element is visible & connected
+		elem.getClientRects().length ) {
+
+		isBorderBox = jQuery.css( elem, "boxSizing", false, styles ) === "border-box";
+
+		// Where available, offsetWidth/offsetHeight approximate border box dimensions.
+		// Where not available (e.g., SVG), assume unreliable box-sizing and interpret the
+		// retrieved value as a content box dimension.
+		valueIsBorderBox = offsetProp in elem;
+		if ( valueIsBorderBox ) {
+			val = elem[ offsetProp ];
+		}
+	}
+
+	// Normalize "" and auto
+	val = parseFloat( val ) || 0;
+
+	// Adjust for the element's box model
+	return ( val +
+		boxModelAdjustment(
+			elem,
+			dimension,
+			extra || ( isBorderBox ? "border" : "content" ),
+			valueIsBorderBox,
+			styles,
+
+			// Provide the current computed size to request scroll gutter calculation (gh-3589)
+			val
+		)
+	) + "px";
+}
+
+jQuery.extend( {
+
+	// Add in style property hooks for overriding the default
+	// behavior of getting and setting a style property
+	cssHooks: {
+		opacity: {
+			get: function( elem, computed ) {
+				if ( computed ) {
+
+					// We should always get a number back from opacity
+					var ret = curCSS( elem, "opacity" );
+					return ret === "" ? "1" : ret;
+				}
+			}
+		}
+	},
+
+	// Don't automatically add "px" to these possibly-unitless properties
+	cssNumber: {
+		"animationIterationCount": true,
+		"columnCount": true,
+		"fillOpacity": true,
+		"flexGrow": true,
+		"flexShrink": true,
+		"fontWeight": true,
+		"gridArea": true,
+		"gridColumn": true,
+		"gridColumnEnd": true,
+		"gridColumnStart": true,
+		"gridRow": true,
+		"gridRowEnd": true,
+		"gridRowStart": true,
+		"lineHeight": true,
+		"opacity": true,
+		"order": true,
+		"orphans": true,
+		"widows": true,
+		"zIndex": true,
+		"zoom": true
+	},
+
+	// Add in properties whose names you wish to fix before
+	// setting or getting the value
+	cssProps: {},
+
+	// Get and set the style property on a DOM Node
+	style: function( elem, name, value, extra ) {
+
+		// Don't set styles on text and comment nodes
+		if ( !elem || elem.nodeType === 3 || elem.nodeType === 8 || !elem.style ) {
+			return;
+		}
+
+		// Make sure that we're working with the right name
+		var ret, type, hooks,
+			origName = camelCase( name ),
+			isCustomProp = rcustomProp.test( name ),
+			style = elem.style;
+
+		// Make sure that we're working with the right name. We don't
+		// want to query the value if it is a CSS custom property
+		// since they are user-defined.
+		if ( !isCustomProp ) {
+			name = finalPropName( origName );
+		}
+
+		// Gets hook for the prefixed version, then unprefixed version
+		hooks = jQuery.cssHooks[ name ] || jQuery.cssHooks[ origName ];
+
+		// Check if we're setting a value
+		if ( value !== undefined ) {
+			type = typeof value;
+
+			// Convert "+=" or "-=" to relative numbers (#7345)
+			if ( type === "string" && ( ret = rcssNum.exec( value ) ) && ret[ 1 ] ) {
+				value = adjustCSS( elem, name, ret );
+
+				// Fixes bug #9237
+				type = "number";
+			}
+
+			// Make sure that null and NaN values aren't set (#7116)
+			if ( value == null || value !== value ) {
+				return;
+			}
+
+			// If a number was passed in, add the unit (except for certain CSS properties)
+			// The isCustomProp check can be removed in jQuery 4.0 when we only auto-append
+			// "px" to a few hardcoded values.
+			if ( type === "number" && !isCustomProp ) {
+				value += ret && ret[ 3 ] || ( jQuery.cssNumber[ origName ] ? "" : "px" );
+			}
+
+			// background-* props affect original clone's values
+			if ( !support.clearCloneStyle && value === "" && name.indexOf( "background" ) === 0 ) {
+				style[ name ] = "inherit";
+			}
+
+			// If a hook was provided, use that value, otherwise just set the specified value
+			if ( !hooks || !( "set" in hooks ) ||
+				( value = hooks.set( elem, value, extra ) ) !== undefined ) {
+
+				if ( isCustomProp ) {
+					style.setProperty( name, value );
+				} else {
+					style[ name ] = value;
+				}
+			}
+
+		} else {
+
+			// If a hook was provided get the non-computed value from there
+			if ( hooks && "get" in hooks &&
+				( ret = hooks.get( elem, false, extra ) ) !== undefined ) {
+
+				return ret;
+			}
+
+			// Otherwise just get the value from the style object
+			return style[ name ];
+		}
+	},
+
+	css: function( elem, name, extra, styles ) {
+		var val, num, hooks,
+			origName = camelCase( name ),
+			isCustomProp = rcustomProp.test( name );
+
+		// Make sure that we're working with the right name. We don't
+		// want to modify the value if it is a CSS custom property
+		// since they are user-defined.
+		if ( !isCustomProp ) {
+			name = finalPropName( origName );
+		}
+
+		// Try prefixed name followed by the unprefixed name
+		hooks = jQuery.cssHooks[ name ] || jQuery.cssHooks[ origName ];
+
+		// If a hook was provided get the computed value from there
+		if ( hooks && "get" in hooks ) {
+			val = hooks.get( elem, true, extra );
+		}
+
+		// Otherwise, if a way to get the computed value exists, use that
+		if ( val === undefined ) {
+			val = curCSS( elem, name, styles );
+		}
+
+		// Convert "normal" to computed value
+		if ( val === "normal" && name in cssNormalTransform ) {
+			val = cssNormalTransform[ name ];
+		}
+
+		// Make numeric if forced or a qualifier was provided and val looks numeric
+		if ( extra === "" || extra ) {
+			num = parseFloat( val );
+			return extra === true || isFinite( num ) ? num || 0 : val;
+		}
+
+		return val;
+	}
+} );
+
+jQuery.each( [ "height", "width" ], function( _i, dimension ) {
+	jQuery.cssHooks[ dimension ] = {
+		get: function( elem, computed, extra ) {
+			if ( computed ) {
+
+				// Certain elements can have dimension info if we invisibly show them
+				// but it must have a current display style that would benefit
+				return rdisplayswap.test( jQuery.css( elem, "display" ) ) &&
+
+					// Support: Safari 8+
+					// Table columns in Safari have non-zero offsetWidth & zero
+					// getBoundingClientRect().width unless display is changed.
+					// Support: IE <=11 only
+					// Running getBoundingClientRect on a disconnected node
+					// in IE throws an error.
+					( !elem.getClientRects().length || !elem.getBoundingClientRect().width ) ?
+					swap( elem, cssShow, function() {
+						return getWidthOrHeight( elem, dimension, extra );
+					} ) :
+					getWidthOrHeight( elem, dimension, extra );
+			}
+		},
+
+		set: function( elem, value, extra ) {
+			var matches,
+				styles = getStyles( elem ),
+
+				// Only read styles.position if the test has a chance to fail
+				// to avoid forcing a reflow.
+				scrollboxSizeBuggy = !support.scrollboxSize() &&
+					styles.position === "absolute",
+
+				// To avoid forcing a reflow, only fetch boxSizing if we need it (gh-3991)
+				boxSizingNeeded = scrollboxSizeBuggy || extra,
+				isBorderBox = boxSizingNeeded &&
+					jQuery.css( elem, "boxSizing", false, styles ) === "border-box",
+				subtract = extra ?
+					boxModelAdjustment(
+						elem,
+						dimension,
+						extra,
+						isBorderBox,
+						styles
+					) :
+					0;
+
+			// Account for unreliable border-box dimensions by comparing offset* to computed and
+			// faking a content-box to get border and padding (gh-3699)
+			if ( isBorderBox && scrollboxSizeBuggy ) {
+				subtract -= Math.ceil(
+					elem[ "offset" + dimension[ 0 ].toUpperCase() + dimension.slice( 1 ) ] -
+					parseFloat( styles[ dimension ] ) -
+					boxModelAdjustment( elem, dimension, "border", false, styles ) -
+					0.5
+				);
+			}
+
+			// Convert to pixels if value adjustment is needed
+			if ( subtract && ( matches = rcssNum.exec( value ) ) &&
+				( matches[ 3 ] || "px" ) !== "px" ) {
+
+				elem.style[ dimension ] = value;
+				value = jQuery.css( elem, dimension );
+			}
+
+			return setPositiveNumber( elem, value, subtract );
+		}
+	};
+} );
+
+jQuery.cssHooks.marginLeft = addGetHookIf( support.reliableMarginLeft,
+	function( elem, computed ) {
+		if ( computed ) {
+			return ( parseFloat( curCSS( elem, "marginLeft" ) ) ||
+				elem.getBoundingClientRect().left -
+					swap( elem, { marginLeft: 0 }, function() {
+						return elem.getBoundingClientRect().left;
+					} )
+			) + "px";
+		}
+	}
+);
+
+// These hooks are used by animate to expand properties
+jQuery.each( {
+	margin: "",
+	padding: "",
+	border: "Width"
+}, function( prefix, suffix ) {
+	jQuery.cssHooks[ prefix + suffix ] = {
+		expand: function( value ) {
+			var i = 0,
+				expanded = {},
+
+				// Assumes a single number if not a string
+				parts = typeof value === "string" ? value.split( " " ) : [ value ];
+
+			for ( ; i < 4; i++ ) {
+				expanded[ prefix + cssExpand[ i ] + suffix ] =
+					parts[ i ] || parts[ i - 2 ] || parts[ 0 ];
+			}
+
+			return expanded;
+		}
+	};
+
+	if ( prefix !== "margin" ) {
+		jQuery.cssHooks[ prefix + suffix ].set = setPositiveNumber;
+	}
+} );
+
+jQuery.fn.extend( {
+	css: function( name, value ) {
+		return access( this, function( elem, name, value ) {
+			var styles, len,
+				map = {},
+				i = 0;
+
+			if ( Array.isArray( name ) ) {
+				styles = getStyles( elem );
+				len = name.length;
+
+				for ( ; i < len; i++ ) {
+					map[ name[ i ] ] = jQuery.css( elem, name[ i ], false, styles );
+				}
+
+				return map;
+			}
+
+			return value !== undefined ?
+				jQuery.style( elem, name, value ) :
+				jQuery.css( elem, name );
+		}, name, value, arguments.length > 1 );
+	}
+} );
+
+
+function Tween( elem, options, prop, end, easing ) {
+	return new Tween.prototype.init( elem, options, prop, end, easing );
+}
+jQuery.Tween = Tween;
+
+Tween.prototype = {
+	constructor: Tween,
+	init: function( elem, options, prop, end, easing, unit ) {
+		this.elem = elem;
+		this.prop = prop;
+		this.easing = easing || jQuery.easing._default;
+		this.options = options;
+		this.start = this.now = this.cur();
+		this.end = end;
+		this.unit = unit || ( jQuery.cssNumber[ prop ] ? "" : "px" );
+	},
+	cur: function() {
+		var hooks = Tween.propHooks[ this.prop ];
+
+		return hooks && hooks.get ?
+			hooks.get( this ) :
+			Tween.propHooks._default.get( this );
+	},
+	run: function( percent ) {
+		var eased,
+			hooks = Tween.propHooks[ this.prop ];
+
+		if ( this.options.duration ) {
+			this.pos = eased = jQuery.easing[ this.easing ](
+				percent, this.options.duration * percent, 0, 1, this.options.duration
+			);
+		} else {
+			this.pos = eased = percent;
+		}
+		this.now = ( this.end - this.start ) * eased + this.start;
+
+		if ( this.options.step ) {
+			this.options.step.call( this.elem, this.now, this );
+		}
+
+		if ( hooks && hooks.set ) {
+			hooks.set( this );
+		} else {
+			Tween.propHooks._default.set( this );
+		}
+		return this;
+	}
+};
+
+Tween.prototype.init.prototype = Tween.prototype;
+
+Tween.propHooks = {
+	_default: {
+		get: function( tween ) {
+			var result;
+
+			// Use a property on the element directly when it is not a DOM element,
+			// or when there is no matching style property that exists.
+			if ( tween.elem.nodeType !== 1 ||
+				tween.elem[ tween.prop ] != null && tween.elem.style[ tween.prop ] == null ) {
+				return tween.elem[ tween.prop ];
+			}
+
+			// Passing an empty string as a 3rd parameter to .css will automatically
+			// attempt a parseFloat and fallback to a string if the parse fails.
+			// Simple values such as "10px" are parsed to Float;
+			// complex values such as "rotate(1rad)" are returned as-is.
+			result = jQuery.css( tween.elem, tween.prop, "" );
+
+			// Empty strings, null, undefined and "auto" are converted to 0.
+			return !result || result === "auto" ? 0 : result;
+		},
+		set: function( tween ) {
+
+			// Use step hook for back compat.
+			// Use cssHook if its there.
+			// Use .style if available and use plain properties where available.
+			if ( jQuery.fx.step[ tween.prop ] ) {
+				jQuery.fx.step[ tween.prop ]( tween );
+			} else if ( tween.elem.nodeType === 1 && (
+				jQuery.cssHooks[ tween.prop ] ||
+					tween.elem.style[ finalPropName( tween.prop ) ] != null ) ) {
+				jQuery.style( tween.elem, tween.prop, tween.now + tween.unit );
+			} else {
+				tween.elem[ tween.prop ] = tween.now;
+			}
+		}
+	}
+};
+
+// Support: IE <=9 only
+// Panic based approach to setting things on disconnected nodes
+Tween.propHooks.scrollTop = Tween.propHooks.scrollLeft = {
+	set: function( tween ) {
+		if ( tween.elem.nodeType && tween.elem.parentNode ) {
+			tween.elem[ tween.prop ] = tween.now;
+		}
+	}
+};
+
+jQuery.easing = {
+	linear: function( p ) {
+		return p;
+	},
+	swing: function( p ) {
+		return 0.5 - Math.cos( p * Math.PI ) / 2;
+	},
+	_default: "swing"
+};
+
+jQuery.fx = Tween.prototype.init;
+
+// Back compat <1.8 extension point
+jQuery.fx.step = {};
+
+
+
+
+var
+	fxNow, inProgress,
+	rfxtypes = /^(?:toggle|show|hide)$/,
+	rrun = /queueHooks$/;
+
+function schedule() {
+	if ( inProgress ) {
+		if ( document.hidden === false && window.requestAnimationFrame ) {
+			window.requestAnimationFrame( schedule );
+		} else {
+			window.setTimeout( schedule, jQuery.fx.interval );
+		}
+
+		jQuery.fx.tick();
+	}
+}
+
+// Animations created synchronously will run synchronously
+function createFxNow() {
+	window.setTimeout( function() {
+		fxNow = undefined;
+	} );
+	return ( fxNow = Date.now() );
+}
+
+// Generate parameters to create a standard animation
+function genFx( type, includeWidth ) {
+	var which,
+		i = 0,
+		attrs = { height: type };
+
+	// If we include width, step value is 1 to do all cssExpand values,
+	// otherwise step value is 2 to skip over Left and Right
+	includeWidth = includeWidth ? 1 : 0;
+	for ( ; i < 4; i += 2 - includeWidth ) {
+		which = cssExpand[ i ];
+		attrs[ "margin" + which ] = attrs[ "padding" + which ] = type;
+	}
+
+	if ( includeWidth ) {
+		attrs.opacity = attrs.width = type;
+	}
+
+	return attrs;
+}
+
+function createTween( value, prop, animation ) {
+	var tween,
+		collection = ( Animation.tweeners[ prop ] || [] ).concat( Animation.tweeners[ "*" ] ),
+		index = 0,
+		length = collection.length;
+	for ( ; index < length; index++ ) {
+		if ( ( tween = collection[ index ].call( animation, prop, value ) ) ) {
+
+			// We're done with this property
+			return tween;
+		}
+	}
+}
+
+function defaultPrefilter( elem, props, opts ) {
+	var prop, value, toggle, hooks, oldfire, propTween, restoreDisplay, display,
+		isBox = "width" in props || "height" in props,
+		anim = this,
+		orig = {},
+		style = elem.style,
+		hidden = elem.nodeType && isHiddenWithinTree( elem ),
+		dataShow = dataPriv.get( elem, "fxshow" );
+
+	// Queue-skipping animations hijack the fx hooks
+	if ( !opts.queue ) {
+		hooks = jQuery._queueHooks( elem, "fx" );
+		if ( hooks.unqueued == null ) {
+			hooks.unqueued = 0;
+			oldfire = hooks.empty.fire;
+			hooks.empty.fire = function() {
+				if ( !hooks.unqueued ) {
+					oldfire();
+				}
+			};
+		}
+		hooks.unqueued++;
+
+		anim.always( function() {
+
+			// Ensure the complete handler is called before this completes
+			anim.always( function() {
+				hooks.unqueued--;
+				if ( !jQuery.queue( elem, "fx" ).length ) {
+					hooks.empty.fire();
+				}
+			} );
+		} );
+	}
+
+	// Detect show/hide animations
+	for ( prop in props ) {
+		value = props[ prop ];
+		if ( rfxtypes.test( value ) ) {
+			delete props[ prop ];
+			toggle = toggle || value === "toggle";
+			if ( value === ( hidden ? "hide" : "show" ) ) {
+
+				// Pretend to be hidden if this is a "show" and
+				// there is still data from a stopped show/hide
+				if ( value === "show" && dataShow && dataShow[ prop ] !== undefined ) {
+					hidden = true;
+
+				// Ignore all other no-op show/hide data
+				} else {
+					continue;
+				}
+			}
+			orig[ prop ] = dataShow && dataShow[ prop ] || jQuery.style( elem, prop );
+		}
+	}
+
+	// Bail out if this is a no-op like .hide().hide()
+	propTween = !jQuery.isEmptyObject( props );
+	if ( !propTween && jQuery.isEmptyObject( orig ) ) {
+		return;
+	}
+
+	// Restrict "overflow" and "display" styles during box animations
+	if ( isBox && elem.nodeType === 1 ) {
+
+		// Support: IE <=9 - 11, Edge 12 - 15
+		// Record all 3 overflow attributes because IE does not infer the shorthand
+		// from identically-valued overflowX and overflowY and Edge just mirrors
+		// the overflowX value there.
+		opts.overflow = [ style.overflow, style.overflowX, style.overflowY ];
+
+		// Identify a display type, preferring old show/hide data over the CSS cascade
+		restoreDisplay = dataShow && dataShow.display;
+		if ( restoreDisplay == null ) {
+			restoreDisplay = dataPriv.get( elem, "display" );
+		}
+		display = jQuery.css( elem, "display" );
+		if ( display === "none" ) {
+			if ( restoreDisplay ) {
+				display = restoreDisplay;
+			} else {
+
+				// Get nonempty value(s) by temporarily forcing visibility
+				showHide( [ elem ], true );
+				restoreDisplay = elem.style.display || restoreDisplay;
+				display = jQuery.css( elem, "display" );
+				showHide( [ elem ] );
+			}
+		}
+
+		// Animate inline elements as inline-block
+		if ( display === "inline" || display === "inline-block" && restoreDisplay != null ) {
+			if ( jQuery.css( elem, "float" ) === "none" ) {
+
+				// Restore the original display value at the end of pure show/hide animations
+				if ( !propTween ) {
+					anim.done( function() {
+						style.display = restoreDisplay;
+					} );
+					if ( restoreDisplay == null ) {
+						display = style.display;
+						restoreDisplay = display === "none" ? "" : display;
+					}
+				}
+				style.display = "inline-block";
+			}
+		}
+	}
+
+	if ( opts.overflow ) {
+		style.overflow = "hidden";
+		anim.always( function() {
+			style.overflow = opts.overflow[ 0 ];
+			style.overflowX = opts.overflow[ 1 ];
+			style.overflowY = opts.overflow[ 2 ];
+		} );
+	}
+
+	// Implement show/hide animations
+	propTween = false;
+	for ( prop in orig ) {
+
+		// General show/hide setup for this element animation
+		if ( !propTween ) {
+			if ( dataShow ) {
+				if ( "hidden" in dataShow ) {
+					hidden = dataShow.hidden;
+				}
+			} else {
+				dataShow = dataPriv.access( elem, "fxshow", { display: restoreDisplay } );
+			}
+
+			// Store hidden/visible for toggle so `.stop().toggle()` "reverses"
+			if ( toggle ) {
+				dataShow.hidden = !hidden;
+			}
+
+			// Show elements before animating them
+			if ( hidden ) {
+				showHide( [ elem ], true );
+			}
+
+			/* eslint-disable no-loop-func */
+
+			anim.done( function() {
+
+				/* eslint-enable no-loop-func */
+
+				// The final step of a "hide" animation is actually hiding the element
+				if ( !hidden ) {
+					showHide( [ elem ] );
+				}
+				dataPriv.remove( elem, "fxshow" );
+				for ( prop in orig ) {
+					jQuery.style( elem, prop, orig[ prop ] );
+				}
+			} );
+		}
+
+		// Per-property setup
+		propTween = createTween( hidden ? dataShow[ prop ] : 0, prop, anim );
+		if ( !( prop in dataShow ) ) {
+			dataShow[ prop ] = propTween.start;
+			if ( hidden ) {
+				propTween.end = propTween.start;
+				propTween.start = 0;
+			}
+		}
+	}
+}
+
+function propFilter( props, specialEasing ) {
+	var index, name, easing, value, hooks;
+
+	// camelCase, specialEasing and expand cssHook pass
+	for ( index in props ) {
+		name = camelCase( index );
+		easing = specialEasing[ name ];
+		value = props[ index ];
+		if ( Array.isArray( value ) ) {
+			easing = value[ 1 ];
+			value = props[ index ] = value[ 0 ];
+		}
+
+		if ( index !== name ) {
+			props[ name ] = value;
+			delete props[ index ];
+		}
+
+		hooks = jQuery.cssHooks[ name ];
+		if ( hooks && "expand" in hooks ) {
+			value = hooks.expand( value );
+			delete props[ name ];
+
+			// Not quite $.extend, this won't overwrite existing keys.
+			// Reusing 'index' because we have the correct "name"
+			for ( index in value ) {
+				if ( !( index in props ) ) {
+					props[ index ] = value[ index ];
+					specialEasing[ index ] = easing;
+				}
+			}
+		} else {
+			specialEasing[ name ] = easing;
+		}
+	}
+}
+
+function Animation( elem, properties, options ) {
+	var result,
+		stopped,
+		index = 0,
+		length = Animation.prefilters.length,
+		deferred = jQuery.Deferred().always( function() {
+
+			// Don't match elem in the :animated selector
+			delete tick.elem;
+		} ),
+		tick = function() {
+			if ( stopped ) {
+				return false;
+			}
+			var currentTime = fxNow || createFxNow(),
+				remaining = Math.max( 0, animation.startTime + animation.duration - currentTime ),
+
+				// Support: Android 2.3 only
+				// Archaic crash bug won't allow us to use `1 - ( 0.5 || 0 )` (#12497)
+				temp = remaining / animation.duration || 0,
+				percent = 1 - temp,
+				index = 0,
+				length = animation.tweens.length;
+
+			for ( ; index < length; index++ ) {
+				animation.tweens[ index ].run( percent );
+			}
+
+			deferred.notifyWith( elem, [ animation, percent, remaining ] );
+
+			// If there's more to do, yield
+			if ( percent < 1 && length ) {
+				return remaining;
+			}
+
+			// If this was an empty animation, synthesize a final progress notification
+			if ( !length ) {
+				deferred.notifyWith( elem, [ animation, 1, 0 ] );
+			}
+
+			// Resolve the animation and report its conclusion
+			deferred.resolveWith( elem, [ animation ] );
+			return false;
+		},
+		animation = deferred.promise( {
+			elem: elem,
+			props: jQuery.extend( {}, properties ),
+			opts: jQuery.extend( true, {
+				specialEasing: {},
+				easing: jQuery.easing._default
+			}, options ),
+			originalProperties: properties,
+			originalOptions: options,
+			startTime: fxNow || createFxNow(),
+			duration: options.duration,
+			tweens: [],
+			createTween: function( prop, end ) {
+				var tween = jQuery.Tween( elem, animation.opts, prop, end,
+					animation.opts.specialEasing[ prop ] || animation.opts.easing );
+				animation.tweens.push( tween );
+				return tween;
+			},
+			stop: function( gotoEnd ) {
+				var index = 0,
+
+					// If we are going to the end, we want to run all the tweens
+					// otherwise we skip this part
+					length = gotoEnd ? animation.tweens.length : 0;
+				if ( stopped ) {
+					return this;
+				}
+				stopped = true;
+				for ( ; index < length; index++ ) {
+					animation.tweens[ index ].run( 1 );
+				}
+
+				// Resolve when we played the last frame; otherwise, reject
+				if ( gotoEnd ) {
+					deferred.notifyWith( elem, [ animation, 1, 0 ] );
+					deferred.resolveWith( elem, [ animation, gotoEnd ] );
+				} else {
+					deferred.rejectWith( elem, [ animation, gotoEnd ] );
+				}
+				return this;
+			}
+		} ),
+		props = animation.props;
+
+	propFilter( props, animation.opts.specialEasing );
+
+	for ( ; index < length; index++ ) {
+		result = Animation.prefilters[ index ].call( animation, elem, props, animation.opts );
+		if ( result ) {
+			if ( isFunction( result.stop ) ) {
+				jQuery._queueHooks( animation.elem, animation.opts.queue ).stop =
+					result.stop.bind( result );
+			}
+			return result;
+		}
+	}
+
+	jQuery.map( props, createTween, animation );
+
+	if ( isFunction( animation.opts.start ) ) {
+		animation.opts.start.call( elem, animation );
+	}
+
+	// Attach callbacks from options
+	animation
+		.progress( animation.opts.progress )
+		.done( animation.opts.done, animation.opts.complete )
+		.fail( animation.opts.fail )
+		.always( animation.opts.always );
+
+	jQuery.fx.timer(
+		jQuery.extend( tick, {
+			elem: elem,
+			anim: animation,
+			queue: animation.opts.queue
+		} )
+	);
+
+	return animation;
+}
+
+jQuery.Animation = jQuery.extend( Animation, {
+
+	tweeners: {
+		"*": [ function( prop, value ) {
+			var tween = this.createTween( prop, value );
+			adjustCSS( tween.elem, prop, rcssNum.exec( value ), tween );
+			return tween;
+		} ]
+	},
+
+	tweener: function( props, callback ) {
+		if ( isFunction( props ) ) {
+			callback = props;
+			props = [ "*" ];
+		} else {
+			props = props.match( rnothtmlwhite );
+		}
+
+		var prop,
+			index = 0,
+			length = props.length;
+
+		for ( ; index < length; index++ ) {
+			prop = props[ index ];
+			Animation.tweeners[ prop ] = Animation.tweeners[ prop ] || [];
+			Animation.tweeners[ prop ].unshift( callback );
+		}
+	},
+
+	prefilters: [ defaultPrefilter ],
+
+	prefilter: function( callback, prepend ) {
+		if ( prepend ) {
+			Animation.prefilters.unshift( callback );
+		} else {
+			Animation.prefilters.push( callback );
+		}
+	}
+} );
+
+jQuery.speed = function( speed, easing, fn ) {
+	var opt = speed && typeof speed === "object" ? jQuery.extend( {}, speed ) : {
+		complete: fn || !fn && easing ||
+			isFunction( speed ) && speed,
+		duration: speed,
+		easing: fn && easing || easing && !isFunction( easing ) && easing
+	};
+
+	// Go to the end state if fx are off
+	if ( jQuery.fx.off ) {
+		opt.duration = 0;
+
+	} else {
+		if ( typeof opt.duration !== "number" ) {
+			if ( opt.duration in jQuery.fx.speeds ) {
+				opt.duration = jQuery.fx.speeds[ opt.duration ];
+
+			} else {
+				opt.duration = jQuery.fx.speeds._default;
+			}
+		}
+	}
+
+	// Normalize opt.queue - true/undefined/null -> "fx"
+	if ( opt.queue == null || opt.queue === true ) {
+		opt.queue = "fx";
+	}
+
+	// Queueing
+	opt.old = opt.complete;
+
+	opt.complete = function() {
+		if ( isFunction( opt.old ) ) {
+			opt.old.call( this );
+		}
+
+		if ( opt.queue ) {
+			jQuery.dequeue( this, opt.queue );
+		}
+	};
+
+	return opt;
+};
+
+jQuery.fn.extend( {
+	fadeTo: function( speed, to, easing, callback ) {
+
+		// Show any hidden elements after setting opacity to 0
+		return this.filter( isHiddenWithinTree ).css( "opacity", 0 ).show()
+
+			// Animate to the value specified
+			.end().animate( { opacity: to }, speed, easing, callback );
+	},
+	animate: function( prop, speed, easing, callback ) {
+		var empty = jQuery.isEmptyObject( prop ),
+			optall = jQuery.speed( speed, easing, callback ),
+			doAnimation = function() {
+
+				// Operate on a copy of prop so per-property easing won't be lost
+				var anim = Animation( this, jQuery.extend( {}, prop ), optall );
+
+				// Empty animations, or finishing resolves immediately
+				if ( empty || dataPriv.get( this, "finish" ) ) {
+					anim.stop( true );
+				}
+			};
+
+		doAnimation.finish = doAnimation;
+
+		return empty || optall.queue === false ?
+			this.each( doAnimation ) :
+			this.queue( optall.queue, doAnimation );
+	},
+	stop: function( type, clearQueue, gotoEnd ) {
+		var stopQueue = function( hooks ) {
+			var stop = hooks.stop;
+			delete hooks.stop;
+			stop( gotoEnd );
+		};
+
+		if ( typeof type !== "string" ) {
+			gotoEnd = clearQueue;
+			clearQueue = type;
+			type = undefined;
+		}
+		if ( clearQueue ) {
+			this.queue( type || "fx", [] );
+		}
+
+		return this.each( function() {
+			var dequeue = true,
+				index = type != null && type + "queueHooks",
+				timers = jQuery.timers,
+				data = dataPriv.get( this );
+
+			if ( index ) {
+				if ( data[ index ] && data[ index ].stop ) {
+					stopQueue( data[ index ] );
+				}
+			} else {
+				for ( index in data ) {
+					if ( data[ index ] && data[ index ].stop && rrun.test( index ) ) {
+						stopQueue( data[ index ] );
+					}
+				}
+			}
+
+			for ( index = timers.length; index--; ) {
+				if ( timers[ index ].elem === this &&
+					( type == null || timers[ index ].queue === type ) ) {
+
+					timers[ index ].anim.stop( gotoEnd );
+					dequeue = false;
+					timers.splice( index, 1 );
+				}
+			}
+
+			// Start the next in the queue if the last step wasn't forced.
+			// Timers currently will call their complete callbacks, which
+			// will dequeue but only if they were gotoEnd.
+			if ( dequeue || !gotoEnd ) {
+				jQuery.dequeue( this, type );
+			}
+		} );
+	},
+	finish: function( type ) {
+		if ( type !== false ) {
+			type = type || "fx";
+		}
+		return this.each( function() {
+			var index,
+				data = dataPriv.get( this ),
+				queue = data[ type + "queue" ],
+				hooks = data[ type + "queueHooks" ],
+				timers = jQuery.timers,
+				length = queue ? queue.length : 0;
+
+			// Enable finishing flag on private data
+			data.finish = true;
+
+			// Empty the queue first
+			jQuery.queue( this, type, [] );
+
+			if ( hooks && hooks.stop ) {
+				hooks.stop.call( this, true );
+			}
+
+			// Look for any active animations, and finish them
+			for ( index = timers.length; index--; ) {
+				if ( timers[ index ].elem === this && timers[ index ].queue === type ) {
+					timers[ index ].anim.stop( true );
+					timers.splice( index, 1 );
+				}
+			}
+
+			// Look for any animations in the old queue and finish them
+			for ( index = 0; index < length; index++ ) {
+				if ( queue[ index ] && queue[ index ].finish ) {
+					queue[ index ].finish.call( this );
+				}
+			}
+
+			// Turn off finishing flag
+			delete data.finish;
+		} );
+	}
+} );
+
+jQuery.each( [ "toggle", "show", "hide" ], function( _i, name ) {
+	var cssFn = jQuery.fn[ name ];
+	jQuery.fn[ name ] = function( speed, easing, callback ) {
+		return speed == null || typeof speed === "boolean" ?
+			cssFn.apply( this, arguments ) :
+			this.animate( genFx( name, true ), speed, easing, callback );
+	};
+} );
+
+// Generate shortcuts for custom animations
+jQuery.each( {
+	slideDown: genFx( "show" ),
+	slideUp: genFx( "hide" ),
+	slideToggle: genFx( "toggle" ),
+	fadeIn: { opacity: "show" },
+	fadeOut: { opacity: "hide" },
+	fadeToggle: { opacity: "toggle" }
+}, function( name, props ) {
+	jQuery.fn[ name ] = function( speed, easing, callback ) {
+		return this.animate( props, speed, easing, callback );
+	};
+} );
+
+jQuery.timers = [];
+jQuery.fx.tick = function() {
+	var timer,
+		i = 0,
+		timers = jQuery.timers;
+
+	fxNow = Date.now();
+
+	for ( ; i < timers.length; i++ ) {
+		timer = timers[ i ];
+
+		// Run the timer and safely remove it when done (allowing for external removal)
+		if ( !timer() && timers[ i ] === timer ) {
+			timers.splice( i--, 1 );
+		}
+	}
+
+	if ( !timers.length ) {
+		jQuery.fx.stop();
+	}
+	fxNow = undefined;
+};
+
+jQuery.fx.timer = function( timer ) {
+	jQuery.timers.push( timer );
+	jQuery.fx.start();
+};
+
+jQuery.fx.interval = 13;
+jQuery.fx.start = function() {
+	if ( inProgress ) {
+		return;
+	}
+
+	inProgress = true;
+	schedule();
+};
+
+jQuery.fx.stop = function() {
+	inProgress = null;
+};
+
+jQuery.fx.speeds = {
+	slow: 600,
+	fast: 200,
+
+	// Default speed
+	_default: 400
+};
+
+
+// Based off of the plugin by Clint Helfers, with permission.
+// https://web.archive.org/web/20100324014747/http://blindsignals.com/index.php/2009/07/jquery-delay/
+jQuery.fn.delay = function( time, type ) {
+	time = jQuery.fx ? jQuery.fx.speeds[ time ] || time : time;
+	type = type || "fx";
+
+	return this.queue( type, function( next, hooks ) {
+		var timeout = window.setTimeout( next, time );
+		hooks.stop = function() {
+			window.clearTimeout( timeout );
+		};
+	} );
+};
+
+
+( function() {
+	var input = document.createElement( "input" ),
+		select = document.createElement( "select" ),
+		opt = select.appendChild( document.createElement( "option" ) );
+
+	input.type = "checkbox";
+
+	// Support: Android <=4.3 only
+	// Default value for a checkbox should be "on"
+	support.checkOn = input.value !== "";
+
+	// Support: IE <=11 only
+	// Must access selectedIndex to make default options select
+	support.optSelected = opt.selected;
+
+	// Support: IE <=11 only
+	// An input loses its value after becoming a radio
+	input = document.createElement( "input" );
+	input.value = "t";
+	input.type = "radio";
+	support.radioValue = input.value === "t";
+} )();
+
+
+var boolHook,
+	attrHandle = jQuery.expr.attrHandle;
+
+jQuery.fn.extend( {
+	attr: function( name, value ) {
+		return access( this, jQuery.attr, name, value, arguments.length > 1 );
+	},
+
+	removeAttr: function( name ) {
+		return this.each( function() {
+			jQuery.removeAttr( this, name );
+		} );
+	}
+} );
+
+jQuery.extend( {
+	attr: function( elem, name, value ) {
+		var ret, hooks,
+			nType = elem.nodeType;
+
+		// Don't get/set attributes on text, comment and attribute nodes
+		if ( nType === 3 || nType === 8 || nType === 2 ) {
+			return;
+		}
+
+		// Fallback to prop when attributes are not supported
+		if ( typeof elem.getAttribute === "undefined" ) {
+			return jQuery.prop( elem, name, value );
+		}
+
+		// Attribute hooks are determined by the lowercase version
+		// Grab necessary hook if one is defined
+		if ( nType !== 1 || !jQuery.isXMLDoc( elem ) ) {
+			hooks = jQuery.attrHooks[ name.toLowerCase() ] ||
+				( jQuery.expr.match.bool.test( name ) ? boolHook : undefined );
+		}
+
+		if ( value !== undefined ) {
+			if ( value === null ) {
+				jQuery.removeAttr( elem, name );
+				return;
+			}
+
+			if ( hooks && "set" in hooks &&
+				( ret = hooks.set( elem, value, name ) ) !== undefined ) {
+				return ret;
+			}
+
+			elem.setAttribute( name, value + "" );
+			return value;
+		}
+
+		if ( hooks && "get" in hooks && ( ret = hooks.get( elem, name ) ) !== null ) {
+			return ret;
+		}
+
+		ret = jQuery.find.attr( elem, name );
+
+		// Non-existent attributes return null, we normalize to undefined
+		return ret == null ? undefined : ret;
+	},
+
+	attrHooks: {
+		type: {
+			set: function( elem, value ) {
+				if ( !support.radioValue && value === "radio" &&
+					nodeName( elem, "input" ) ) {
+					var val = elem.value;
+					elem.setAttribute( "type", value );
+					if ( val ) {
+						elem.value = val;
+					}
+					return value;
+				}
+			}
+		}
+	},
+
+	removeAttr: function( elem, value ) {
+		var name,
+			i = 0,
+
+			// Attribute names can contain non-HTML whitespace characters
+			// https://html.spec.whatwg.org/multipage/syntax.html#attributes-2
+			attrNames = value && value.match( rnothtmlwhite );
+
+		if ( attrNames && elem.nodeType === 1 ) {
+			while ( ( name = attrNames[ i++ ] ) ) {
+				elem.removeAttribute( name );
+			}
+		}
+	}
+} );
+
+// Hooks for boolean attributes
+boolHook = {
+	set: function( elem, value, name ) {
+		if ( value === false ) {
+
+			// Remove boolean attributes when set to false
+			jQuery.removeAttr( elem, name );
+		} else {
+			elem.setAttribute( name, name );
+		}
+		return name;
+	}
+};
+
+jQuery.each( jQuery.expr.match.bool.source.match( /\w+/g ), function( _i, name ) {
+	var getter = attrHandle[ name ] || jQuery.find.attr;
+
+	attrHandle[ name ] = function( elem, name, isXML ) {
+		var ret, handle,
+			lowercaseName = name.toLowerCase();
+
+		if ( !isXML ) {
+
+			// Avoid an infinite loop by temporarily removing this function from the getter
+			handle = attrHandle[ lowercaseName ];
+			attrHandle[ lowercaseName ] = ret;
+			ret = getter( elem, name, isXML ) != null ?
+				lowercaseName :
+				null;
+			attrHandle[ lowercaseName ] = handle;
+		}
+		return ret;
+	};
+} );
+
+
+
+
+var rfocusable = /^(?:input|select|textarea|button)$/i,
+	rclickable = /^(?:a|area)$/i;
+
+jQuery.fn.extend( {
+	prop: function( name, value ) {
+		return access( this, jQuery.prop, name, value, arguments.length > 1 );
+	},
+
+	removeProp: function( name ) {
+		return this.each( function() {
+			delete this[ jQuery.propFix[ name ] || name ];
+		} );
+	}
+} );
+
+jQuery.extend( {
+	prop: function( elem, name, value ) {
+		var ret, hooks,
+			nType = elem.nodeType;
+
+		// Don't get/set properties on text, comment and attribute nodes
+		if ( nType === 3 || nType === 8 || nType === 2 ) {
+			return;
+		}
+
+		if ( nType !== 1 || !jQuery.isXMLDoc( elem ) ) {
+
+			// Fix name and attach hooks
+			name = jQuery.propFix[ name ] || name;
+			hooks = jQuery.propHooks[ name ];
+		}
+
+		if ( value !== undefined ) {
+			if ( hooks && "set" in hooks &&
+				( ret = hooks.set( elem, value, name ) ) !== undefined ) {
+				return ret;
+			}
+
+			return ( elem[ name ] = value );
+		}
+
+		if ( hooks && "get" in hooks && ( ret = hooks.get( elem, name ) ) !== null ) {
+			return ret;
+		}
+
+		return elem[ name ];
+	},
+
+	propHooks: {
+		tabIndex: {
+			get: function( elem ) {
+
+				// Support: IE <=9 - 11 only
+				// elem.tabIndex doesn't always return the
+				// correct value when it hasn't been explicitly set
+				// https://web.archive.org/web/20141116233347/http://fluidproject.org/blog/2008/01/09/getting-setting-and-removing-tabindex-values-with-javascript/
+				// Use proper attribute retrieval(#12072)
+				var tabindex = jQuery.find.attr( elem, "tabindex" );
+
+				if ( tabindex ) {
+					return parseInt( tabindex, 10 );
+				}
+
+				if (
+					rfocusable.test( elem.nodeName ) ||
+					rclickable.test( elem.nodeName ) &&
+					elem.href
+				) {
+					return 0;
+				}
+
+				return -1;
+			}
+		}
+	},
+
+	propFix: {
+		"for": "htmlFor",
+		"class": "className"
+	}
+} );
+
+// Support: IE <=11 only
+// Accessing the selectedIndex property
+// forces the browser to respect setting selected
+// on the option
+// The getter ensures a default option is selected
+// when in an optgroup
+// eslint rule "no-unused-expressions" is disabled for this code
+// since it considers such accessions noop
+if ( !support.optSelected ) {
+	jQuery.propHooks.selected = {
+		get: function( elem ) {
+
+			/* eslint no-unused-expressions: "off" */
+
+			var parent = elem.parentNode;
+			if ( parent && parent.parentNode ) {
+				parent.parentNode.selectedIndex;
+			}
+			return null;
+		},
+		set: function( elem ) {
+
+			/* eslint no-unused-expressions: "off" */
+
+			var parent = elem.parentNode;
+			if ( parent ) {
+				parent.selectedIndex;
+
+				if ( parent.parentNode ) {
+					parent.parentNode.selectedIndex;
+				}
+			}
+		}
+	};
+}
+
+jQuery.each( [
+	"tabIndex",
+	"readOnly",
+	"maxLength",
+	"cellSpacing",
+	"cellPadding",
+	"rowSpan",
+	"colSpan",
+	"useMap",
+	"frameBorder",
+	"contentEditable"
+], function() {
+	jQuery.propFix[ this.toLowerCase() ] = this;
+} );
+
+
+
+
+	// Strip and collapse whitespace according to HTML spec
+	// https://infra.spec.whatwg.org/#strip-and-collapse-ascii-whitespace
+	function stripAndCollapse( value ) {
+		var tokens = value.match( rnothtmlwhite ) || [];
+		return tokens.join( " " );
+	}
+
+
+function getClass( elem ) {
+	return elem.getAttribute && elem.getAttribute( "class" ) || "";
+}
+
+function classesToArray( value ) {
+	if ( Array.isArray( value ) ) {
+		return value;
+	}
+	if ( typeof value === "string" ) {
+		return value.match( rnothtmlwhite ) || [];
+	}
+	return [];
+}
+
+jQuery.fn.extend( {
+	addClass: function( value ) {
+		var classes, elem, cur, curValue, clazz, j, finalValue,
+			i = 0;
+
+		if ( isFunction( value ) ) {
+			return this.each( function( j ) {
+				jQuery( this ).addClass( value.call( this, j, getClass( this ) ) );
+			} );
+		}
+
+		classes = classesToArray( value );
+
+		if ( classes.length ) {
+			while ( ( elem = this[ i++ ] ) ) {
+				curValue = getClass( elem );
+				cur = elem.nodeType === 1 && ( " " + stripAndCollapse( curValue ) + " " );
+
+				if ( cur ) {
+					j = 0;
+					while ( ( clazz = classes[ j++ ] ) ) {
+						if ( cur.indexOf( " " + clazz + " " ) < 0 ) {
+							cur += clazz + " ";
+						}
+					}
+
+					// Only assign if different to avoid unneeded rendering.
+					finalValue = stripAndCollapse( cur );
+					if ( curValue !== finalValue ) {
+						elem.setAttribute( "class", finalValue );
+					}
+				}
+			}
+		}
+
+		return this;
+	},
+
+	removeClass: function( value ) {
+		var classes, elem, cur, curValue, clazz, j, finalValue,
+			i = 0;
+
+		if ( isFunction( value ) ) {
+			return this.each( function( j ) {
+				jQuery( this ).removeClass( value.call( this, j, getClass( this ) ) );
+			} );
+		}
+
+		if ( !arguments.length ) {
+			return this.attr( "class", "" );
+		}
+
+		classes = classesToArray( value );
+
+		if ( classes.length ) {
+			while ( ( elem = this[ i++ ] ) ) {
+				curValue = getClass( elem );
+
+				// This expression is here for better compressibility (see addClass)
+				cur = elem.nodeType === 1 && ( " " + stripAndCollapse( curValue ) + " " );
+
+				if ( cur ) {
+					j = 0;
+					while ( ( clazz = classes[ j++ ] ) ) {
+
+						// Remove *all* instances
+						while ( cur.indexOf( " " + clazz + " " ) > -1 ) {
+							cur = cur.replace( " " + clazz + " ", " " );
+						}
+					}
+
+					// Only assign if different to avoid unneeded rendering.
+					finalValue = stripAndCollapse( cur );
+					if ( curValue !== finalValue ) {
+						elem.setAttribute( "class", finalValue );
+					}
+				}
+			}
+		}
+
+		return this;
+	},
+
+	toggleClass: function( value, stateVal ) {
+		var type = typeof value,
+			isValidValue = type === "string" || Array.isArray( value );
+
+		if ( typeof stateVal === "boolean" && isValidValue ) {
+			return stateVal ? this.addClass( value ) : this.removeClass( value );
+		}
+
+		if ( isFunction( value ) ) {
+			return this.each( function( i ) {
+				jQuery( this ).toggleClass(
+					value.call( this, i, getClass( this ), stateVal ),
+					stateVal
+				);
+			} );
+		}
+
+		return this.each( function() {
+			var className, i, self, classNames;
+
+			if ( isValidValue ) {
+
+				// Toggle individual class names
+				i = 0;
+				self = jQuery( this );
+				classNames = classesToArray( value );
+
+				while ( ( className = classNames[ i++ ] ) ) {
+
+					// Check each className given, space separated list
+					if ( self.hasClass( className ) ) {
+						self.removeClass( className );
+					} else {
+						self.addClass( className );
+					}
+				}
+
+			// Toggle whole class name
+			} else if ( value === undefined || type === "boolean" ) {
+				className = getClass( this );
+				if ( className ) {
+
+					// Store className if set
+					dataPriv.set( this, "__className__", className );
+				}
+
+				// If the element has a class name or if we're passed `false`,
+				// then remove the whole classname (if there was one, the above saved it).
+				// Otherwise bring back whatever was previously saved (if anything),
+				// falling back to the empty string if nothing was stored.
+				if ( this.setAttribute ) {
+					this.setAttribute( "class",
+						className || value === false ?
+							"" :
+							dataPriv.get( this, "__className__" ) || ""
+					);
+				}
+			}
+		} );
+	},
+
+	hasClass: function( selector ) {
+		var className, elem,
+			i = 0;
+
+		className = " " + selector + " ";
+		while ( ( elem = this[ i++ ] ) ) {
+			if ( elem.nodeType === 1 &&
+				( " " + stripAndCollapse( getClass( elem ) ) + " " ).indexOf( className ) > -1 ) {
+				return true;
+			}
+		}
+
+		return false;
+	}
+} );
+
+
+
+
+var rreturn = /\r/g;
+
+jQuery.fn.extend( {
+	val: function( value ) {
+		var hooks, ret, valueIsFunction,
+			elem = this[ 0 ];
+
+		if ( !arguments.length ) {
+			if ( elem ) {
+				hooks = jQuery.valHooks[ elem.type ] ||
+					jQuery.valHooks[ elem.nodeName.toLowerCase() ];
+
+				if ( hooks &&
+					"get" in hooks &&
+					( ret = hooks.get( elem, "value" ) ) !== undefined
+				) {
+					return ret;
+				}
+
+				ret = elem.value;
+
+				// Handle most common string cases
+				if ( typeof ret === "string" ) {
+					return ret.replace( rreturn, "" );
+				}
+
+				// Handle cases where value is null/undef or number
+				return ret == null ? "" : ret;
+			}
+
+			return;
+		}
+
+		valueIsFunction = isFunction( value );
+
+		return this.each( function( i ) {
+			var val;
+
+			if ( this.nodeType !== 1 ) {
+				return;
+			}
+
+			if ( valueIsFunction ) {
+				val = value.call( this, i, jQuery( this ).val() );
+			} else {
+				val = value;
+			}
+
+			// Treat null/undefined as ""; convert numbers to string
+			if ( val == null ) {
+				val = "";
+
+			} else if ( typeof val === "number" ) {
+				val += "";
+
+			} else if ( Array.isArray( val ) ) {
+				val = jQuery.map( val, function( value ) {
+					return value == null ? "" : value + "";
+				} );
+			}
+
+			hooks = jQuery.valHooks[ this.type ] || jQuery.valHooks[ this.nodeName.toLowerCase() ];
+
+			// If set returns undefined, fall back to normal setting
+			if ( !hooks || !( "set" in hooks ) || hooks.set( this, val, "value" ) === undefined ) {
+				this.value = val;
+			}
+		} );
+	}
+} );
+
+jQuery.extend( {
+	valHooks: {
+		option: {
+			get: function( elem ) {
+
+				var val = jQuery.find.attr( elem, "value" );
+				return val != null ?
+					val :
+
+					// Support: IE <=10 - 11 only
+					// option.text throws exceptions (#14686, #14858)
+					// Strip and collapse whitespace
+					// https://html.spec.whatwg.org/#strip-and-collapse-whitespace
+					stripAndCollapse( jQuery.text( elem ) );
+			}
+		},
+		select: {
+			get: function( elem ) {
+				var value, option, i,
+					options = elem.options,
+					index = elem.selectedIndex,
+					one = elem.type === "select-one",
+					values = one ? null : [],
+					max = one ? index + 1 : options.length;
+
+				if ( index < 0 ) {
+					i = max;
+
+				} else {
+					i = one ? index : 0;
+				}
+
+				// Loop through all the selected options
+				for ( ; i < max; i++ ) {
+					option = options[ i ];
+
+					// Support: IE <=9 only
+					// IE8-9 doesn't update selected after form reset (#2551)
+					if ( ( option.selected || i === index ) &&
+
+							// Don't return options that are disabled or in a disabled optgroup
+							!option.disabled &&
+							( !option.parentNode.disabled ||
+								!nodeName( option.parentNode, "optgroup" ) ) ) {
+
+						// Get the specific value for the option
+						value = jQuery( option ).val();
+
+						// We don't need an array for one selects
+						if ( one ) {
+							return value;
+						}
+
+						// Multi-Selects return an array
+						values.push( value );
+					}
+				}
+
+				return values;
+			},
+
+			set: function( elem, value ) {
+				var optionSet, option,
+					options = elem.options,
+					values = jQuery.makeArray( value ),
+					i = options.length;
+
+				while ( i-- ) {
+					option = options[ i ];
+
+					/* eslint-disable no-cond-assign */
+
+					if ( option.selected =
+						jQuery.inArray( jQuery.valHooks.option.get( option ), values ) > -1
+					) {
+						optionSet = true;
+					}
+
+					/* eslint-enable no-cond-assign */
+				}
+
+				// Force browsers to behave consistently when non-matching value is set
+				if ( !optionSet ) {
+					elem.selectedIndex = -1;
+				}
+				return values;
+			}
+		}
+	}
+} );
+
+// Radios and checkboxes getter/setter
+jQuery.each( [ "radio", "checkbox" ], function() {
+	jQuery.valHooks[ this ] = {
+		set: function( elem, value ) {
+			if ( Array.isArray( value ) ) {
+				return ( elem.checked = jQuery.inArray( jQuery( elem ).val(), value ) > -1 );
+			}
+		}
+	};
+	if ( !support.checkOn ) {
+		jQuery.valHooks[ this ].get = function( elem ) {
+			return elem.getAttribute( "value" ) === null ? "on" : elem.value;
+		};
+	}
+} );
+
+
+
+
+// Return jQuery for attributes-only inclusion
+
+
+support.focusin = "onfocusin" in window;
+
+
+var rfocusMorph = /^(?:focusinfocus|focusoutblur)$/,
+	stopPropagationCallback = function( e ) {
+		e.stopPropagation();
+	};
+
+jQuery.extend( jQuery.event, {
+
+	trigger: function( event, data, elem, onlyHandlers ) {
+
+		var i, cur, tmp, bubbleType, ontype, handle, special, lastElement,
+			eventPath = [ elem || document ],
+			type = hasOwn.call( event, "type" ) ? event.type : event,
+			namespaces = hasOwn.call( event, "namespace" ) ? event.namespace.split( "." ) : [];
+
+		cur = lastElement = tmp = elem = elem || document;
+
+		// Don't do events on text and comment nodes
+		if ( elem.nodeType === 3 || elem.nodeType === 8 ) {
+			return;
+		}
+
+		// focus/blur morphs to focusin/out; ensure we're not firing them right now
+		if ( rfocusMorph.test( type + jQuery.event.triggered ) ) {
+			return;
+		}
+
+		if ( type.indexOf( "." ) > -1 ) {
+
+			// Namespaced trigger; create a regexp to match event type in handle()
+			namespaces = type.split( "." );
+			type = namespaces.shift();
+			namespaces.sort();
+		}
+		ontype = type.indexOf( ":" ) < 0 && "on" + type;
+
+		// Caller can pass in a jQuery.Event object, Object, or just an event type string
+		event = event[ jQuery.expando ] ?
+			event :
+			new jQuery.Event( type, typeof event === "object" && event );
+
+		// Trigger bitmask: & 1 for native handlers; & 2 for jQuery (always true)
+		event.isTrigger = onlyHandlers ? 2 : 3;
+		event.namespace = namespaces.join( "." );
+		event.rnamespace = event.namespace ?
+			new RegExp( "(^|\\.)" + namespaces.join( "\\.(?:.*\\.|)" ) + "(\\.|$)" ) :
+			null;
+
+		// Clean up the event in case it is being reused
+		event.result = undefined;
+		if ( !event.target ) {
+			event.target = elem;
+		}
+
+		// Clone any incoming data and prepend the event, creating the handler arg list
+		data = data == null ?
+			[ event ] :
+			jQuery.makeArray( data, [ event ] );
+
+		// Allow special events to draw outside the lines
+		special = jQuery.event.special[ type ] || {};
+		if ( !onlyHandlers && special.trigger && special.trigger.apply( elem, data ) === false ) {
+			return;
+		}
+
+		// Determine event propagation path in advance, per W3C events spec (#9951)
+		// Bubble up to document, then to window; watch for a global ownerDocument var (#9724)
+		if ( !onlyHandlers && !special.noBubble && !isWindow( elem ) ) {
+
+			bubbleType = special.delegateType || type;
+			if ( !rfocusMorph.test( bubbleType + type ) ) {
+				cur = cur.parentNode;
+			}
+			for ( ; cur; cur = cur.parentNode ) {
+				eventPath.push( cur );
+				tmp = cur;
+			}
+
+			// Only add window if we got to document (e.g., not plain obj or detached DOM)
+			if ( tmp === ( elem.ownerDocument || document ) ) {
+				eventPath.push( tmp.defaultView || tmp.parentWindow || window );
+			}
+		}
+
+		// Fire handlers on the event path
+		i = 0;
+		while ( ( cur = eventPath[ i++ ] ) && !event.isPropagationStopped() ) {
+			lastElement = cur;
+			event.type = i > 1 ?
+				bubbleType :
+				special.bindType || type;
+
+			// jQuery handler
+			handle = ( dataPriv.get( cur, "events" ) || Object.create( null ) )[ event.type ] &&
+				dataPriv.get( cur, "handle" );
+			if ( handle ) {
+				handle.apply( cur, data );
+			}
+
+			// Native handler
+			handle = ontype && cur[ ontype ];
+			if ( handle && handle.apply && acceptData( cur ) ) {
+				event.result = handle.apply( cur, data );
+				if ( event.result === false ) {
+					event.preventDefault();
+				}
+			}
+		}
+		event.type = type;
+
+		// If nobody prevented the default action, do it now
+		if ( !onlyHandlers && !event.isDefaultPrevented() ) {
+
+			if ( ( !special._default ||
+				special._default.apply( eventPath.pop(), data ) === false ) &&
+				acceptData( elem ) ) {
+
+				// Call a native DOM method on the target with the same name as the event.
+				// Don't do default actions on window, that's where global variables be (#6170)
+				if ( ontype && isFunction( elem[ type ] ) && !isWindow( elem ) ) {
+
+					// Don't re-trigger an onFOO event when we call its FOO() method
+					tmp = elem[ ontype ];
+
+					if ( tmp ) {
+						elem[ ontype ] = null;
+					}
+
+					// Prevent re-triggering of the same event, since we already bubbled it above
+					jQuery.event.triggered = type;
+
+					if ( event.isPropagationStopped() ) {
+						lastElement.addEventListener( type, stopPropagationCallback );
+					}
+
+					elem[ type ]();
+
+					if ( event.isPropagationStopped() ) {
+						lastElement.removeEventListener( type, stopPropagationCallback );
+					}
+
+					jQuery.event.triggered = undefined;
+
+					if ( tmp ) {
+						elem[ ontype ] = tmp;
+					}
+				}
+			}
+		}
+
+		return event.result;
+	},
+
+	// Piggyback on a donor event to simulate a different one
+	// Used only for `focus(in | out)` events
+	simulate: function( type, elem, event ) {
+		var e = jQuery.extend(
+			new jQuery.Event(),
+			event,
+			{
+				type: type,
+				isSimulated: true
+			}
+		);
+
+		jQuery.event.trigger( e, null, elem );
+	}
+
+} );
+
+jQuery.fn.extend( {
+
+	trigger: function( type, data ) {
+		return this.each( function() {
+			jQuery.event.trigger( type, data, this );
+		} );
+	},
+	triggerHandler: function( type, data ) {
+		var elem = this[ 0 ];
+		if ( elem ) {
+			return jQuery.event.trigger( type, data, elem, true );
+		}
+	}
+} );
+
+
+// Support: Firefox <=44
+// Firefox doesn't have focus(in | out) events
+// Related ticket - https://bugzilla.mozilla.org/show_bug.cgi?id=687787
+//
+// Support: Chrome <=48 - 49, Safari <=9.0 - 9.1
+// focus(in | out) events fire after focus & blur events,
+// which is spec violation - http://www.w3.org/TR/DOM-Level-3-Events/#events-focusevent-event-order
+// Related ticket - https://bugs.chromium.org/p/chromium/issues/detail?id=449857
+if ( !support.focusin ) {
+	jQuery.each( { focus: "focusin", blur: "focusout" }, function( orig, fix ) {
+
+		// Attach a single capturing handler on the document while someone wants focusin/focusout
+		var handler = function( event ) {
+			jQuery.event.simulate( fix, event.target, jQuery.event.fix( event ) );
+		};
+
+		jQuery.event.special[ fix ] = {
+			setup: function() {
+
+				// Handle: regular nodes (via `this.ownerDocument`), window
+				// (via `this.document`) & document (via `this`).
+				var doc = this.ownerDocument || this.document || this,
+					attaches = dataPriv.access( doc, fix );
+
+				if ( !attaches ) {
+					doc.addEventListener( orig, handler, true );
+				}
+				dataPriv.access( doc, fix, ( attaches || 0 ) + 1 );
+			},
+			teardown: function() {
+				var doc = this.ownerDocument || this.document || this,
+					attaches = dataPriv.access( doc, fix ) - 1;
+
+				if ( !attaches ) {
+					doc.removeEventListener( orig, handler, true );
+					dataPriv.remove( doc, fix );
+
+				} else {
+					dataPriv.access( doc, fix, attaches );
+				}
+			}
+		};
+	} );
+}
+var location = window.location;
+
+var nonce = { guid: Date.now() };
+
+var rquery = ( /\?/ );
+
+
+
+// Cross-browser xml parsing
+jQuery.parseXML = function( data ) {
+	var xml, parserErrorElem;
+	if ( !data || typeof data !== "string" ) {
+		return null;
+	}
+
+	// Support: IE 9 - 11 only
+	// IE throws on parseFromString with invalid input.
+	try {
+		xml = ( new window.DOMParser() ).parseFromString( data, "text/xml" );
+	} catch ( e ) {}
+
+	parserErrorElem = xml && xml.getElementsByTagName( "parsererror" )[ 0 ];
+	if ( !xml || parserErrorElem ) {
+		jQuery.error( "Invalid XML: " + (
+			parserErrorElem ?
+				jQuery.map( parserErrorElem.childNodes, function( el ) {
+					return el.textContent;
+				} ).join( "\n" ) :
+				data
+		) );
+	}
+	return xml;
+};
+
+
+var
+	rbracket = /\[\]$/,
+	rCRLF = /\r?\n/g,
+	rsubmitterTypes = /^(?:submit|button|image|reset|file)$/i,
+	rsubmittable = /^(?:input|select|textarea|keygen)/i;
+
+function buildParams( prefix, obj, traditional, add ) {
+	var name;
+
+	if ( Array.isArray( obj ) ) {
+
+		// Serialize array item.
+		jQuery.each( obj, function( i, v ) {
+			if ( traditional || rbracket.test( prefix ) ) {
+
+				// Treat each array item as a scalar.
+				add( prefix, v );
+
+			} else {
+
+				// Item is non-scalar (array or object), encode its numeric index.
+				buildParams(
+					prefix + "[" + ( typeof v === "object" && v != null ? i : "" ) + "]",
+					v,
+					traditional,
+					add
+				);
+			}
+		} );
+
+	} else if ( !traditional && toType( obj ) === "object" ) {
+
+		// Serialize object item.
+		for ( name in obj ) {
+			buildParams( prefix + "[" + name + "]", obj[ name ], traditional, add );
+		}
+
+	} else {
+
+		// Serialize scalar item.
+		add( prefix, obj );
+	}
+}
+
+// Serialize an array of form elements or a set of
+// key/values into a query string
+jQuery.param = function( a, traditional ) {
+	var prefix,
+		s = [],
+		add = function( key, valueOrFunction ) {
+
+			// If value is a function, invoke it and use its return value
+			var value = isFunction( valueOrFunction ) ?
+				valueOrFunction() :
+				valueOrFunction;
+
+			s[ s.length ] = encodeURIComponent( key ) + "=" +
+				encodeURIComponent( value == null ? "" : value );
+		};
+
+	if ( a == null ) {
+		return "";
+	}
+
+	// If an array was passed in, assume that it is an array of form elements.
+	if ( Array.isArray( a ) || ( a.jquery && !jQuery.isPlainObject( a ) ) ) {
+
+		// Serialize the form elements
+		jQuery.each( a, function() {
+			add( this.name, this.value );
+		} );
+
+	} else {
+
+		// If traditional, encode the "old" way (the way 1.3.2 or older
+		// did it), otherwise encode params recursively.
+		for ( prefix in a ) {
+			buildParams( prefix, a[ prefix ], traditional, add );
+		}
+	}
+
+	// Return the resulting serialization
+	return s.join( "&" );
+};
+
+jQuery.fn.extend( {
+	serialize: function() {
+		return jQuery.param( this.serializeArray() );
+	},
+	serializeArray: function() {
+		return this.map( function() {
+
+			// Can add propHook for "elements" to filter or add form elements
+			var elements = jQuery.prop( this, "elements" );
+			return elements ? jQuery.makeArray( elements ) : this;
+		} ).filter( function() {
+			var type = this.type;
+
+			// Use .is( ":disabled" ) so that fieldset[disabled] works
+			return this.name && !jQuery( this ).is( ":disabled" ) &&
+				rsubmittable.test( this.nodeName ) && !rsubmitterTypes.test( type ) &&
+				( this.checked || !rcheckableType.test( type ) );
+		} ).map( function( _i, elem ) {
+			var val = jQuery( this ).val();
+
+			if ( val == null ) {
+				return null;
+			}
+
+			if ( Array.isArray( val ) ) {
+				return jQuery.map( val, function( val ) {
+					return { name: elem.name, value: val.replace( rCRLF, "\r\n" ) };
+				} );
+			}
+
+			return { name: elem.name, value: val.replace( rCRLF, "\r\n" ) };
+		} ).get();
+	}
+} );
+
+
+var
+	r20 = /%20/g,
+	rhash = /#.*$/,
+	rantiCache = /([?&])_=[^&]*/,
+	rheaders = /^(.*?):[ \t]*([^\r\n]*)$/mg,
+
+	// #7653, #8125, #8152: local protocol detection
+	rlocalProtocol = /^(?:about|app|app-storage|.+-extension|file|res|widget):$/,
+	rnoContent = /^(?:GET|HEAD)$/,
+	rprotocol = /^\/\//,
+
+	/* Prefilters
+	 * 1) They are useful to introduce custom dataTypes (see ajax/jsonp.js for an example)
+	 * 2) These are called:
+	 *    - BEFORE asking for a transport
+	 *    - AFTER param serialization (s.data is a string if s.processData is true)
+	 * 3) key is the dataType
+	 * 4) the catchall symbol "*" can be used
+	 * 5) execution will start with transport dataType and THEN continue down to "*" if needed
+	 */
+	prefilters = {},
+
+	/* Transports bindings
+	 * 1) key is the dataType
+	 * 2) the catchall symbol "*" can be used
+	 * 3) selection will start with transport dataType and THEN go to "*" if needed
+	 */
+	transports = {},
+
+	// Avoid comment-prolog char sequence (#10098); must appease lint and evade compression
+	allTypes = "*/".concat( "*" ),
+
+	// Anchor tag for parsing the document origin
+	originAnchor = document.createElement( "a" );
+
+originAnchor.href = location.href;
+
+// Base "constructor" for jQuery.ajaxPrefilter and jQuery.ajaxTransport
+function addToPrefiltersOrTransports( structure ) {
+
+	// dataTypeExpression is optional and defaults to "*"
+	return function( dataTypeExpression, func ) {
+
+		if ( typeof dataTypeExpression !== "string" ) {
+			func = dataTypeExpression;
+			dataTypeExpression = "*";
+		}
+
+		var dataType,
+			i = 0,
+			dataTypes = dataTypeExpression.toLowerCase().match( rnothtmlwhite ) || [];
+
+		if ( isFunction( func ) ) {
+
+			// For each dataType in the dataTypeExpression
+			while ( ( dataType = dataTypes[ i++ ] ) ) {
+
+				// Prepend if requested
+				if ( dataType[ 0 ] === "+" ) {
+					dataType = dataType.slice( 1 ) || "*";
+					( structure[ dataType ] = structure[ dataType ] || [] ).unshift( func );
+
+				// Otherwise append
+				} else {
+					( structure[ dataType ] = structure[ dataType ] || [] ).push( func );
+				}
+			}
+		}
+	};
+}
+
+// Base inspection function for prefilters and transports
+function inspectPrefiltersOrTransports( structure, options, originalOptions, jqXHR ) {
+
+	var inspected = {},
+		seekingTransport = ( structure === transports );
+
+	function inspect( dataType ) {
+		var selected;
+		inspected[ dataType ] = true;
+		jQuery.each( structure[ dataType ] || [], function( _, prefilterOrFactory ) {
+			var dataTypeOrTransport = prefilterOrFactory( options, originalOptions, jqXHR );
+			if ( typeof dataTypeOrTransport === "string" &&
+				!seekingTransport && !inspected[ dataTypeOrTransport ] ) {
+
+				options.dataTypes.unshift( dataTypeOrTransport );
+				inspect( dataTypeOrTransport );
+				return false;
+			} else if ( seekingTransport ) {
+				return !( selected = dataTypeOrTransport );
+			}
+		} );
+		return selected;
+	}
+
+	return inspect( options.dataTypes[ 0 ] ) || !inspected[ "*" ] && inspect( "*" );
+}
+
+// A special extend for ajax options
+// that takes "flat" options (not to be deep extended)
+// Fixes #9887
+function ajaxExtend( target, src ) {
+	var key, deep,
+		flatOptions = jQuery.ajaxSettings.flatOptions || {};
+
+	for ( key in src ) {
+		if ( src[ key ] !== undefined ) {
+			( flatOptions[ key ] ? target : ( deep || ( deep = {} ) ) )[ key ] = src[ key ];
+		}
+	}
+	if ( deep ) {
+		jQuery.extend( true, target, deep );
+	}
+
+	return target;
+}
+
+/* Handles responses to an ajax request:
+ * - finds the right dataType (mediates between content-type and expected dataType)
+ * - returns the corresponding response
+ */
+function ajaxHandleResponses( s, jqXHR, responses ) {
+
+	var ct, type, finalDataType, firstDataType,
+		contents = s.contents,
+		dataTypes = s.dataTypes;
+
+	// Remove auto dataType and get content-type in the process
+	while ( dataTypes[ 0 ] === "*" ) {
+		dataTypes.shift();
+		if ( ct === undefined ) {
+			ct = s.mimeType || jqXHR.getResponseHeader( "Content-Type" );
+		}
+	}
+
+	// Check if we're dealing with a known content-type
+	if ( ct ) {
+		for ( type in contents ) {
+			if ( contents[ type ] && contents[ type ].test( ct ) ) {
+				dataTypes.unshift( type );
+				break;
+			}
+		}
+	}
+
+	// Check to see if we have a response for the expected dataType
+	if ( dataTypes[ 0 ] in responses ) {
+		finalDataType = dataTypes[ 0 ];
+	} else {
+
+		// Try convertible dataTypes
+		for ( type in responses ) {
+			if ( !dataTypes[ 0 ] || s.converters[ type + " " + dataTypes[ 0 ] ] ) {
+				finalDataType = type;
+				break;
+			}
+			if ( !firstDataType ) {
+				firstDataType = type;
+			}
+		}
+
+		// Or just use first one
+		finalDataType = finalDataType || firstDataType;
+	}
+
+	// If we found a dataType
+	// We add the dataType to the list if needed
+	// and return the corresponding response
+	if ( finalDataType ) {
+		if ( finalDataType !== dataTypes[ 0 ] ) {
+			dataTypes.unshift( finalDataType );
+		}
+		return responses[ finalDataType ];
+	}
+}
+
+/* Chain conversions given the request and the original response
+ * Also sets the responseXXX fields on the jqXHR instance
+ */
+function ajaxConvert( s, response, jqXHR, isSuccess ) {
+	var conv2, current, conv, tmp, prev,
+		converters = {},
+
+		// Work with a copy of dataTypes in case we need to modify it for conversion
+		dataTypes = s.dataTypes.slice();
+
+	// Create converters map with lowercased keys
+	if ( dataTypes[ 1 ] ) {
+		for ( conv in s.converters ) {
+			converters[ conv.toLowerCase() ] = s.converters[ conv ];
+		}
+	}
+
+	current = dataTypes.shift();
+
+	// Convert to each sequential dataType
+	while ( current ) {
+
+		if ( s.responseFields[ current ] ) {
+			jqXHR[ s.responseFields[ current ] ] = response;
+		}
+
+		// Apply the dataFilter if provided
+		if ( !prev && isSuccess && s.dataFilter ) {
+			response = s.dataFilter( response, s.dataType );
+		}
+
+		prev = current;
+		current = dataTypes.shift();
+
+		if ( current ) {
+
+			// There's only work to do if current dataType is non-auto
+			if ( current === "*" ) {
+
+				current = prev;
+
+			// Convert response if prev dataType is non-auto and differs from current
+			} else if ( prev !== "*" && prev !== current ) {
+
+				// Seek a direct converter
+				conv = converters[ prev + " " + current ] || converters[ "* " + current ];
+
+				// If none found, seek a pair
+				if ( !conv ) {
+					for ( conv2 in converters ) {
+
+						// If conv2 outputs current
+						tmp = conv2.split( " " );
+						if ( tmp[ 1 ] === current ) {
+
+							// If prev can be converted to accepted input
+							conv = converters[ prev + " " + tmp[ 0 ] ] ||
+								converters[ "* " + tmp[ 0 ] ];
+							if ( conv ) {
+
+								// Condense equivalence converters
+								if ( conv === true ) {
+									conv = converters[ conv2 ];
+
+								// Otherwise, insert the intermediate dataType
+								} else if ( converters[ conv2 ] !== true ) {
+									current = tmp[ 0 ];
+									dataTypes.unshift( tmp[ 1 ] );
+								}
+								break;
+							}
+						}
+					}
+				}
+
+				// Apply converter (if not an equivalence)
+				if ( conv !== true ) {
+
+					// Unless errors are allowed to bubble, catch and return them
+					if ( conv && s.throws ) {
+						response = conv( response );
+					} else {
+						try {
+							response = conv( response );
+						} catch ( e ) {
+							return {
+								state: "parsererror",
+								error: conv ? e : "No conversion from " + prev + " to " + current
+							};
+						}
+					}
+				}
+			}
+		}
+	}
+
+	return { state: "success", data: response };
+}
+
+jQuery.extend( {
+
+	// Counter for holding the number of active queries
+	active: 0,
+
+	// Last-Modified header cache for next request
+	lastModified: {},
+	etag: {},
+
+	ajaxSettings: {
+		url: location.href,
+		type: "GET",
+		isLocal: rlocalProtocol.test( location.protocol ),
+		global: true,
+		processData: true,
+		async: true,
+		contentType: "application/x-www-form-urlencoded; charset=UTF-8",
+
+		/*
+		timeout: 0,
+		data: null,
+		dataType: null,
+		username: null,
+		password: null,
+		cache: null,
+		throws: false,
+		traditional: false,
+		headers: {},
+		*/
+
+		accepts: {
+			"*": allTypes,
+			text: "text/plain",
+			html: "text/html",
+			xml: "application/xml, text/xml",
+			json: "application/json, text/javascript"
+		},
+
+		contents: {
+			xml: /\bxml\b/,
+			html: /\bhtml/,
+			json: /\bjson\b/
+		},
+
+		responseFields: {
+			xml: "responseXML",
+			text: "responseText",
+			json: "responseJSON"
+		},
+
+		// Data converters
+		// Keys separate source (or catchall "*") and destination types with a single space
+		converters: {
+
+			// Convert anything to text
+			"* text": String,
+
+			// Text to html (true = no transformation)
+			"text html": true,
+
+			// Evaluate text as a json expression
+			"text json": JSON.parse,
+
+			// Parse text as xml
+			"text xml": jQuery.parseXML
+		},
+
+		// For options that shouldn't be deep extended:
+		// you can add your own custom options here if
+		// and when you create one that shouldn't be
+		// deep extended (see ajaxExtend)
+		flatOptions: {
+			url: true,
+			context: true
+		}
+	},
+
+	// Creates a full fledged settings object into target
+	// with both ajaxSettings and settings fields.
+	// If target is omitted, writes into ajaxSettings.
+	ajaxSetup: function( target, settings ) {
+		return settings ?
+
+			// Building a settings object
+			ajaxExtend( ajaxExtend( target, jQuery.ajaxSettings ), settings ) :
+
+			// Extending ajaxSettings
+			ajaxExtend( jQuery.ajaxSettings, target );
+	},
+
+	ajaxPrefilter: addToPrefiltersOrTransports( prefilters ),
+	ajaxTransport: addToPrefiltersOrTransports( transports ),
+
+	// Main method
+	ajax: function( url, options ) {
+
+		// If url is an object, simulate pre-1.5 signature
+		if ( typeof url === "object" ) {
+			options = url;
+			url = undefined;
+		}
+
+		// Force options to be an object
+		options = options || {};
+
+		var transport,
+
+			// URL without anti-cache param
+			cacheURL,
+
+			// Response headers
+			responseHeadersString,
+			responseHeaders,
+
+			// timeout handle
+			timeoutTimer,
+
+			// Url cleanup var
+			urlAnchor,
+
+			// Request state (becomes false upon send and true upon completion)
+			completed,
+
+			// To know if global events are to be dispatched
+			fireGlobals,
+
+			// Loop variable
+			i,
+
+			// uncached part of the url
+			uncached,
+
+			// Create the final options object
+			s = jQuery.ajaxSetup( {}, options ),
+
+			// Callbacks context
+			callbackContext = s.context || s,
+
+			// Context for global events is callbackContext if it is a DOM node or jQuery collection
+			globalEventContext = s.context &&
+				( callbackContext.nodeType || callbackContext.jquery ) ?
+				jQuery( callbackContext ) :
+				jQuery.event,
+
+			// Deferreds
+			deferred = jQuery.Deferred(),
+			completeDeferred = jQuery.Callbacks( "once memory" ),
+
+			// Status-dependent callbacks
+			statusCode = s.statusCode || {},
+
+			// Headers (they are sent all at once)
+			requestHeaders = {},
+			requestHeadersNames = {},
+
+			// Default abort message
+			strAbort = "canceled",
+
+			// Fake xhr
+			jqXHR = {
+				readyState: 0,
+
+				// Builds headers hashtable if needed
+				getResponseHeader: function( key ) {
+					var match;
+					if ( completed ) {
+						if ( !responseHeaders ) {
+							responseHeaders = {};
+							while ( ( match = rheaders.exec( responseHeadersString ) ) ) {
+								responseHeaders[ match[ 1 ].toLowerCase() + " " ] =
+									( responseHeaders[ match[ 1 ].toLowerCase() + " " ] || [] )
+										.concat( match[ 2 ] );
+							}
+						}
+						match = responseHeaders[ key.toLowerCase() + " " ];
+					}
+					return match == null ? null : match.join( ", " );
+				},
+
+				// Raw string
+				getAllResponseHeaders: function() {
+					return completed ? responseHeadersString : null;
+				},
+
+				// Caches the header
+				setRequestHeader: function( name, value ) {
+					if ( completed == null ) {
+						name = requestHeadersNames[ name.toLowerCase() ] =
+							requestHeadersNames[ name.toLowerCase() ] || name;
+						requestHeaders[ name ] = value;
+					}
+					return this;
+				},
+
+				// Overrides response content-type header
+				overrideMimeType: function( type ) {
+					if ( completed == null ) {
+						s.mimeType = type;
+					}
+					return this;
+				},
+
+				// Status-dependent callbacks
+				statusCode: function( map ) {
+					var code;
+					if ( map ) {
+						if ( completed ) {
+
+							// Execute the appropriate callbacks
+							jqXHR.always( map[ jqXHR.status ] );
+						} else {
+
+							// Lazy-add the new callbacks in a way that preserves old ones
+							for ( code in map ) {
+								statusCode[ code ] = [ statusCode[ code ], map[ code ] ];
+							}
+						}
+					}
+					return this;
+				},
+
+				// Cancel the request
+				abort: function( statusText ) {
+					var finalText = statusText || strAbort;
+					if ( transport ) {
+						transport.abort( finalText );
+					}
+					done( 0, finalText );
+					return this;
+				}
+			};
+
+		// Attach deferreds
+		deferred.promise( jqXHR );
+
+		// Add protocol if not provided (prefilters might expect it)
+		// Handle falsy url in the settings object (#10093: consistency with old signature)
+		// We also use the url parameter if available
+		s.url = ( ( url || s.url || location.href ) + "" )
+			.replace( rprotocol, location.protocol + "//" );
+
+		// Alias method option to type as per ticket #12004
+		s.type = options.method || options.type || s.method || s.type;
+
+		// Extract dataTypes list
+		s.dataTypes = ( s.dataType || "*" ).toLowerCase().match( rnothtmlwhite ) || [ "" ];
+
+		// A cross-domain request is in order when the origin doesn't match the current origin.
+		if ( s.crossDomain == null ) {
+			urlAnchor = document.createElement( "a" );
+
+			// Support: IE <=8 - 11, Edge 12 - 15
+			// IE throws exception on accessing the href property if url is malformed,
+			// e.g. http://example.com:80x/
+			try {
+				urlAnchor.href = s.url;
+
+				// Support: IE <=8 - 11 only
+				// Anchor's host property isn't correctly set when s.url is relative
+				urlAnchor.href = urlAnchor.href;
+				s.crossDomain = originAnchor.protocol + "//" + originAnchor.host !==
+					urlAnchor.protocol + "//" + urlAnchor.host;
+			} catch ( e ) {
+
+				// If there is an error parsing the URL, assume it is crossDomain,
+				// it can be rejected by the transport if it is invalid
+				s.crossDomain = true;
+			}
+		}
+
+		// Convert data if not already a string
+		if ( s.data && s.processData && typeof s.data !== "string" ) {
+			s.data = jQuery.param( s.data, s.traditional );
+		}
+
+		// Apply prefilters
+		inspectPrefiltersOrTransports( prefilters, s, options, jqXHR );
+
+		// If request was aborted inside a prefilter, stop there
+		if ( completed ) {
+			return jqXHR;
+		}
+
+		// We can fire global events as of now if asked to
+		// Don't fire events if jQuery.event is undefined in an AMD-usage scenario (#15118)
+		fireGlobals = jQuery.event && s.global;
+
+		// Watch for a new set of requests
+		if ( fireGlobals && jQuery.active++ === 0 ) {
+			jQuery.event.trigger( "ajaxStart" );
+		}
+
+		// Uppercase the type
+		s.type = s.type.toUpperCase();
+
+		// Determine if request has content
+		s.hasContent = !rnoContent.test( s.type );
+
+		// Save the URL in case we're toying with the If-Modified-Since
+		// and/or If-None-Match header later on
+		// Remove hash to simplify url manipulation
+		cacheURL = s.url.replace( rhash, "" );
+
+		// More options handling for requests with no content
+		if ( !s.hasContent ) {
+
+			// Remember the hash so we can put it back
+			uncached = s.url.slice( cacheURL.length );
+
+			// If data is available and should be processed, append data to url
+			if ( s.data && ( s.processData || typeof s.data === "string" ) ) {
+				cacheURL += ( rquery.test( cacheURL ) ? "&" : "?" ) + s.data;
+
+				// #9682: remove data so that it's not used in an eventual retry
+				delete s.data;
+			}
+
+			// Add or update anti-cache param if needed
+			if ( s.cache === false ) {
+				cacheURL = cacheURL.replace( rantiCache, "$1" );
+				uncached = ( rquery.test( cacheURL ) ? "&" : "?" ) + "_=" + ( nonce.guid++ ) +
+					uncached;
+			}
+
+			// Put hash and anti-cache on the URL that will be requested (gh-1732)
+			s.url = cacheURL + uncached;
+
+		// Change '%20' to '+' if this is encoded form body content (gh-2658)
+		} else if ( s.data && s.processData &&
+			( s.contentType || "" ).indexOf( "application/x-www-form-urlencoded" ) === 0 ) {
+			s.data = s.data.replace( r20, "+" );
+		}
+
+		// Set the If-Modified-Since and/or If-None-Match header, if in ifModified mode.
+		if ( s.ifModified ) {
+			if ( jQuery.lastModified[ cacheURL ] ) {
+				jqXHR.setRequestHeader( "If-Modified-Since", jQuery.lastModified[ cacheURL ] );
+			}
+			if ( jQuery.etag[ cacheURL ] ) {
+				jqXHR.setRequestHeader( "If-None-Match", jQuery.etag[ cacheURL ] );
+			}
+		}
+
+		// Set the correct header, if data is being sent
+		if ( s.data && s.hasContent && s.contentType !== false || options.contentType ) {
+			jqXHR.setRequestHeader( "Content-Type", s.contentType );
+		}
+
+		// Set the Accepts header for the server, depending on the dataType
+		jqXHR.setRequestHeader(
+			"Accept",
+			s.dataTypes[ 0 ] && s.accepts[ s.dataTypes[ 0 ] ] ?
+				s.accepts[ s.dataTypes[ 0 ] ] +
+					( s.dataTypes[ 0 ] !== "*" ? ", " + allTypes + "; q=0.01" : "" ) :
+				s.accepts[ "*" ]
+		);
+
+		// Check for headers option
+		for ( i in s.headers ) {
+			jqXHR.setRequestHeader( i, s.headers[ i ] );
+		}
+
+		// Allow custom headers/mimetypes and early abort
+		if ( s.beforeSend &&
+			( s.beforeSend.call( callbackContext, jqXHR, s ) === false || completed ) ) {
+
+			// Abort if not done already and return
+			return jqXHR.abort();
+		}
+
+		// Aborting is no longer a cancellation
+		strAbort = "abort";
+
+		// Install callbacks on deferreds
+		completeDeferred.add( s.complete );
+		jqXHR.done( s.success );
+		jqXHR.fail( s.error );
+
+		// Get transport
+		transport = inspectPrefiltersOrTransports( transports, s, options, jqXHR );
+
+		// If no transport, we auto-abort
+		if ( !transport ) {
+			done( -1, "No Transport" );
+		} else {
+			jqXHR.readyState = 1;
+
+			// Send global event
+			if ( fireGlobals ) {
+				globalEventContext.trigger( "ajaxSend", [ jqXHR, s ] );
+			}
+
+			// If request was aborted inside ajaxSend, stop there
+			if ( completed ) {
+				return jqXHR;
+			}
+
+			// Timeout
+			if ( s.async && s.timeout > 0 ) {
+				timeoutTimer = window.setTimeout( function() {
+					jqXHR.abort( "timeout" );
+				}, s.timeout );
+			}
+
+			try {
+				completed = false;
+				transport.send( requestHeaders, done );
+			} catch ( e ) {
+
+				// Rethrow post-completion exceptions
+				if ( completed ) {
+					throw e;
+				}
+
+				// Propagate others as results
+				done( -1, e );
+			}
+		}
+
+		// Callback for when everything is done
+		function done( status, nativeStatusText, responses, headers ) {
+			var isSuccess, success, error, response, modified,
+				statusText = nativeStatusText;
+
+			// Ignore repeat invocations
+			if ( completed ) {
+				return;
+			}
+
+			completed = true;
+
+			// Clear timeout if it exists
+			if ( timeoutTimer ) {
+				window.clearTimeout( timeoutTimer );
+			}
+
+			// Dereference transport for early garbage collection
+			// (no matter how long the jqXHR object will be used)
+			transport = undefined;
+
+			// Cache response headers
+			responseHeadersString = headers || "";
+
+			// Set readyState
+			jqXHR.readyState = status > 0 ? 4 : 0;
+
+			// Determine if successful
+			isSuccess = status >= 200 && status < 300 || status === 304;
+
+			// Get response data
+			if ( responses ) {
+				response = ajaxHandleResponses( s, jqXHR, responses );
+			}
+
+			// Use a noop converter for missing script but not if jsonp
+			if ( !isSuccess &&
+				jQuery.inArray( "script", s.dataTypes ) > -1 &&
+				jQuery.inArray( "json", s.dataTypes ) < 0 ) {
+				s.converters[ "text script" ] = function() {};
+			}
+
+			// Convert no matter what (that way responseXXX fields are always set)
+			response = ajaxConvert( s, response, jqXHR, isSuccess );
+
+			// If successful, handle type chaining
+			if ( isSuccess ) {
+
+				// Set the If-Modified-Since and/or If-None-Match header, if in ifModified mode.
+				if ( s.ifModified ) {
+					modified = jqXHR.getResponseHeader( "Last-Modified" );
+					if ( modified ) {
+						jQuery.lastModified[ cacheURL ] = modified;
+					}
+					modified = jqXHR.getResponseHeader( "etag" );
+					if ( modified ) {
+						jQuery.etag[ cacheURL ] = modified;
+					}
+				}
+
+				// if no content
+				if ( status === 204 || s.type === "HEAD" ) {
+					statusText = "nocontent";
+
+				// if not modified
+				} else if ( status === 304 ) {
+					statusText = "notmodified";
+
+				// If we have data, let's convert it
+				} else {
+					statusText = response.state;
+					success = response.data;
+					error = response.error;
+					isSuccess = !error;
+				}
+			} else {
+
+				// Extract error from statusText and normalize for non-aborts
+				error = statusText;
+				if ( status || !statusText ) {
+					statusText = "error";
+					if ( status < 0 ) {
+						status = 0;
+					}
+				}
+			}
+
+			// Set data for the fake xhr object
+			jqXHR.status = status;
+			jqXHR.statusText = ( nativeStatusText || statusText ) + "";
+
+			// Success/Error
+			if ( isSuccess ) {
+				deferred.resolveWith( callbackContext, [ success, statusText, jqXHR ] );
+			} else {
+				deferred.rejectWith( callbackContext, [ jqXHR, statusText, error ] );
+			}
+
+			// Status-dependent callbacks
+			jqXHR.statusCode( statusCode );
+			statusCode = undefined;
+
+			if ( fireGlobals ) {
+				globalEventContext.trigger( isSuccess ? "ajaxSuccess" : "ajaxError",
+					[ jqXHR, s, isSuccess ? success : error ] );
+			}
+
+			// Complete
+			completeDeferred.fireWith( callbackContext, [ jqXHR, statusText ] );
+
+			if ( fireGlobals ) {
+				globalEventContext.trigger( "ajaxComplete", [ jqXHR, s ] );
+
+				// Handle the global AJAX counter
+				if ( !( --jQuery.active ) ) {
+					jQuery.event.trigger( "ajaxStop" );
+				}
+			}
+		}
+
+		return jqXHR;
+	},
+
+	getJSON: function( url, data, callback ) {
+		return jQuery.get( url, data, callback, "json" );
+	},
+
+	getScript: function( url, callback ) {
+		return jQuery.get( url, undefined, callback, "script" );
+	}
+} );
+
+jQuery.each( [ "get", "post" ], function( _i, method ) {
+	jQuery[ method ] = function( url, data, callback, type ) {
+
+		// Shift arguments if data argument was omitted
+		if ( isFunction( data ) ) {
+			type = type || callback;
+			callback = data;
+			data = undefined;
+		}
+
+		// The url can be an options object (which then must have .url)
+		return jQuery.ajax( jQuery.extend( {
+			url: url,
+			type: method,
+			dataType: type,
+			data: data,
+			success: callback
+		}, jQuery.isPlainObject( url ) && url ) );
+	};
+} );
+
+jQuery.ajaxPrefilter( function( s ) {
+	var i;
+	for ( i in s.headers ) {
+		if ( i.toLowerCase() === "content-type" ) {
+			s.contentType = s.headers[ i ] || "";
+		}
+	}
+} );
+
+
+jQuery._evalUrl = function( url, options, doc ) {
+	return jQuery.ajax( {
+		url: url,
+
+		// Make this explicit, since user can override this through ajaxSetup (#11264)
+		type: "GET",
+		dataType: "script",
+		cache: true,
+		async: false,
+		global: false,
+
+		// Only evaluate the response if it is successful (gh-4126)
+		// dataFilter is not invoked for failure responses, so using it instead
+		// of the default converter is kludgy but it works.
+		converters: {
+			"text script": function() {}
+		},
+		dataFilter: function( response ) {
+			jQuery.globalEval( response, options, doc );
+		}
+	} );
+};
+
+
+jQuery.fn.extend( {
+	wrapAll: function( html ) {
+		var wrap;
+
+		if ( this[ 0 ] ) {
+			if ( isFunction( html ) ) {
+				html = html.call( this[ 0 ] );
+			}
+
+			// The elements to wrap the target around
+			wrap = jQuery( html, this[ 0 ].ownerDocument ).eq( 0 ).clone( true );
+
+			if ( this[ 0 ].parentNode ) {
+				wrap.insertBefore( this[ 0 ] );
+			}
+
+			wrap.map( function() {
+				var elem = this;
+
+				while ( elem.firstElementChild ) {
+					elem = elem.firstElementChild;
+				}
+
+				return elem;
+			} ).append( this );
+		}
+
+		return this;
+	},
+
+	wrapInner: function( html ) {
+		if ( isFunction( html ) ) {
+			return this.each( function( i ) {
+				jQuery( this ).wrapInner( html.call( this, i ) );
+			} );
+		}
+
+		return this.each( function() {
+			var self = jQuery( this ),
+				contents = self.contents();
+
+			if ( contents.length ) {
+				contents.wrapAll( html );
+
+			} else {
+				self.append( html );
+			}
+		} );
+	},
+
+	wrap: function( html ) {
+		var htmlIsFunction = isFunction( html );
+
+		return this.each( function( i ) {
+			jQuery( this ).wrapAll( htmlIsFunction ? html.call( this, i ) : html );
+		} );
+	},
+
+	unwrap: function( selector ) {
+		this.parent( selector ).not( "body" ).each( function() {
+			jQuery( this ).replaceWith( this.childNodes );
+		} );
+		return this;
+	}
+} );
+
+
+jQuery.expr.pseudos.hidden = function( elem ) {
+	return !jQuery.expr.pseudos.visible( elem );
+};
+jQuery.expr.pseudos.visible = function( elem ) {
+	return !!( elem.offsetWidth || elem.offsetHeight || elem.getClientRects().length );
+};
+
+
+
+
+jQuery.ajaxSettings.xhr = function() {
+	try {
+		return new window.XMLHttpRequest();
+	} catch ( e ) {}
+};
+
+var xhrSuccessStatus = {
+
+		// File protocol always yields status code 0, assume 200
+		0: 200,
+
+		// Support: IE <=9 only
+		// #1450: sometimes IE returns 1223 when it should be 204
+		1223: 204
+	},
+	xhrSupported = jQuery.ajaxSettings.xhr();
+
+support.cors = !!xhrSupported && ( "withCredentials" in xhrSupported );
+support.ajax = xhrSupported = !!xhrSupported;
+
+jQuery.ajaxTransport( function( options ) {
+	var callback, errorCallback;
+
+	// Cross domain only allowed if supported through XMLHttpRequest
+	if ( support.cors || xhrSupported && !options.crossDomain ) {
+		return {
+			send: function( headers, complete ) {
+				var i,
+					xhr = options.xhr();
+
+				xhr.open(
+					options.type,
+					options.url,
+					options.async,
+					options.username,
+					options.password
+				);
+
+				// Apply custom fields if provided
+				if ( options.xhrFields ) {
+					for ( i in options.xhrFields ) {
+						xhr[ i ] = options.xhrFields[ i ];
+					}
+				}
+
+				// Override mime type if needed
+				if ( options.mimeType && xhr.overrideMimeType ) {
+					xhr.overrideMimeType( options.mimeType );
+				}
+
+				// X-Requested-With header
+				// For cross-domain requests, seeing as conditions for a preflight are
+				// akin to a jigsaw puzzle, we simply never set it to be sure.
+				// (it can always be set on a per-request basis or even using ajaxSetup)
+				// For same-domain requests, won't change header if already provided.
+				if ( !options.crossDomain && !headers[ "X-Requested-With" ] ) {
+					headers[ "X-Requested-With" ] = "XMLHttpRequest";
+				}
+
+				// Set headers
+				for ( i in headers ) {
+					xhr.setRequestHeader( i, headers[ i ] );
+				}
+
+				// Callback
+				callback = function( type ) {
+					return function() {
+						if ( callback ) {
+							callback = errorCallback = xhr.onload =
+								xhr.onerror = xhr.onabort = xhr.ontimeout =
+									xhr.onreadystatechange = null;
+
+							if ( type === "abort" ) {
+								xhr.abort();
+							} else if ( type === "error" ) {
+
+								// Support: IE <=9 only
+								// On a manual native abort, IE9 throws
+								// errors on any property access that is not readyState
+								if ( typeof xhr.status !== "number" ) {
+									complete( 0, "error" );
+								} else {
+									complete(
+
+										// File: protocol always yields status 0; see #8605, #14207
+										xhr.status,
+										xhr.statusText
+									);
+								}
+							} else {
+								complete(
+									xhrSuccessStatus[ xhr.status ] || xhr.status,
+									xhr.statusText,
+
+									// Support: IE <=9 only
+									// IE9 has no XHR2 but throws on binary (trac-11426)
+									// For XHR2 non-text, let the caller handle it (gh-2498)
+									( xhr.responseType || "text" ) !== "text"  ||
+									typeof xhr.responseText !== "string" ?
+										{ binary: xhr.response } :
+										{ text: xhr.responseText },
+									xhr.getAllResponseHeaders()
+								);
+							}
+						}
+					};
+				};
+
+				// Listen to events
+				xhr.onload = callback();
+				errorCallback = xhr.onerror = xhr.ontimeout = callback( "error" );
+
+				// Support: IE 9 only
+				// Use onreadystatechange to replace onabort
+				// to handle uncaught aborts
+				if ( xhr.onabort !== undefined ) {
+					xhr.onabort = errorCallback;
+				} else {
+					xhr.onreadystatechange = function() {
+
+						// Check readyState before timeout as it changes
+						if ( xhr.readyState === 4 ) {
+
+							// Allow onerror to be called first,
+							// but that will not handle a native abort
+							// Also, save errorCallback to a variable
+							// as xhr.onerror cannot be accessed
+							window.setTimeout( function() {
+								if ( callback ) {
+									errorCallback();
+								}
+							} );
+						}
+					};
+				}
+
+				// Create the abort callback
+				callback = callback( "abort" );
+
+				try {
+
+					// Do send the request (this may raise an exception)
+					xhr.send( options.hasContent && options.data || null );
+				} catch ( e ) {
+
+					// #14683: Only rethrow if this hasn't been notified as an error yet
+					if ( callback ) {
+						throw e;
+					}
+				}
+			},
+
+			abort: function() {
+				if ( callback ) {
+					callback();
+				}
+			}
+		};
+	}
+} );
+
+
+
+
+// Prevent auto-execution of scripts when no explicit dataType was provided (See gh-2432)
+jQuery.ajaxPrefilter( function( s ) {
+	if ( s.crossDomain ) {
+		s.contents.script = false;
+	}
+} );
+
+// Install script dataType
+jQuery.ajaxSetup( {
+	accepts: {
+		script: "text/javascript, application/javascript, " +
+			"application/ecmascript, application/x-ecmascript"
+	},
+	contents: {
+		script: /\b(?:java|ecma)script\b/
+	},
+	converters: {
+		"text script": function( text ) {
+			jQuery.globalEval( text );
+			return text;
+		}
+	}
+} );
+
+// Handle cache's special case and crossDomain
+jQuery.ajaxPrefilter( "script", function( s ) {
+	if ( s.cache === undefined ) {
+		s.cache = false;
+	}
+	if ( s.crossDomain ) {
+		s.type = "GET";
+	}
+} );
+
+// Bind script tag hack transport
+jQuery.ajaxTransport( "script", function( s ) {
+
+	// This transport only deals with cross domain or forced-by-attrs requests
+	if ( s.crossDomain || s.scriptAttrs ) {
+		var script, callback;
+		return {
+			send: function( _, complete ) {
+				script = jQuery( "<script>" )
+					.attr( s.scriptAttrs || {} )
+					.prop( { charset: s.scriptCharset, src: s.url } )
+					.on( "load error", callback = function( evt ) {
+						script.remove();
+						callback = null;
+						if ( evt ) {
+							complete( evt.type === "error" ? 404 : 200, evt.type );
+						}
+					} );
+
+				// Use native DOM manipulation to avoid our domManip AJAX trickery
+				document.head.appendChild( script[ 0 ] );
+			},
+			abort: function() {
+				if ( callback ) {
+					callback();
+				}
+			}
+		};
+	}
+} );
+
+
+
+
+var oldCallbacks = [],
+	rjsonp = /(=)\?(?=&|$)|\?\?/;
+
+// Default jsonp settings
+jQuery.ajaxSetup( {
+	jsonp: "callback",
+	jsonpCallback: function() {
+		var callback = oldCallbacks.pop() || ( jQuery.expando + "_" + ( nonce.guid++ ) );
+		this[ callback ] = true;
+		return callback;
+	}
+} );
+
+// Detect, normalize options and install callbacks for jsonp requests
+jQuery.ajaxPrefilter( "json jsonp", function( s, originalSettings, jqXHR ) {
+
+	var callbackName, overwritten, responseContainer,
+		jsonProp = s.jsonp !== false && ( rjsonp.test( s.url ) ?
+			"url" :
+			typeof s.data === "string" &&
+				( s.contentType || "" )
+					.indexOf( "application/x-www-form-urlencoded" ) === 0 &&
+				rjsonp.test( s.data ) && "data"
+		);
+
+	// Handle iff the expected data type is "jsonp" or we have a parameter to set
+	if ( jsonProp || s.dataTypes[ 0 ] === "jsonp" ) {
+
+		// Get callback name, remembering preexisting value associated with it
+		callbackName = s.jsonpCallback = isFunction( s.jsonpCallback ) ?
+			s.jsonpCallback() :
+			s.jsonpCallback;
+
+		// Insert callback into url or form data
+		if ( jsonProp ) {
+			s[ jsonProp ] = s[ jsonProp ].replace( rjsonp, "$1" + callbackName );
+		} else if ( s.jsonp !== false ) {
+			s.url += ( rquery.test( s.url ) ? "&" : "?" ) + s.jsonp + "=" + callbackName;
+		}
+
+		// Use data converter to retrieve json after script execution
+		s.converters[ "script json" ] = function() {
+			if ( !responseContainer ) {
+				jQuery.error( callbackName + " was not called" );
+			}
+			return responseContainer[ 0 ];
+		};
+
+		// Force json dataType
+		s.dataTypes[ 0 ] = "json";
+
+		// Install callback
+		overwritten = window[ callbackName ];
+		window[ callbackName ] = function() {
+			responseContainer = arguments;
+		};
+
+		// Clean-up function (fires after converters)
+		jqXHR.always( function() {
+
+			// If previous value didn't exist - remove it
+			if ( overwritten === undefined ) {
+				jQuery( window ).removeProp( callbackName );
+
+			// Otherwise restore preexisting value
+			} else {
+				window[ callbackName ] = overwritten;
+			}
+
+			// Save back as free
+			if ( s[ callbackName ] ) {
+
+				// Make sure that re-using the options doesn't screw things around
+				s.jsonpCallback = originalSettings.jsonpCallback;
+
+				// Save the callback name for future use
+				oldCallbacks.push( callbackName );
+			}
+
+			// Call if it was a function and we have a response
+			if ( responseContainer && isFunction( overwritten ) ) {
+				overwritten( responseContainer[ 0 ] );
+			}
+
+			responseContainer = overwritten = undefined;
+		} );
+
+		// Delegate to script
+		return "script";
+	}
+} );
+
+
+
+
+// Support: Safari 8 only
+// In Safari 8 documents created via document.implementation.createHTMLDocument
+// collapse sibling forms: the second one becomes a child of the first one.
+// Because of that, this security measure has to be disabled in Safari 8.
+// https://bugs.webkit.org/show_bug.cgi?id=137337
+support.createHTMLDocument = ( function() {
+	var body = document.implementation.createHTMLDocument( "" ).body;
+	body.innerHTML = "<form></form><form></form>";
+	return body.childNodes.length === 2;
+} )();
+
+
+// Argument "data" should be string of html
+// context (optional): If specified, the fragment will be created in this context,
+// defaults to document
+// keepScripts (optional): If true, will include scripts passed in the html string
+jQuery.parseHTML = function( data, context, keepScripts ) {
+	if ( typeof data !== "string" ) {
+		return [];
+	}
+	if ( typeof context === "boolean" ) {
+		keepScripts = context;
+		context = false;
+	}
+
+	var base, parsed, scripts;
+
+	if ( !context ) {
+
+		// Stop scripts or inline event handlers from being executed immediately
+		// by using document.implementation
+		if ( support.createHTMLDocument ) {
+			context = document.implementation.createHTMLDocument( "" );
+
+			// Set the base href for the created document
+			// so any parsed elements with URLs
+			// are based on the document's URL (gh-2965)
+			base = context.createElement( "base" );
+			base.href = document.location.href;
+			context.head.appendChild( base );
+		} else {
+			context = document;
+		}
+	}
+
+	parsed = rsingleTag.exec( data );
+	scripts = !keepScripts && [];
+
+	// Single tag
+	if ( parsed ) {
+		return [ context.createElement( parsed[ 1 ] ) ];
+	}
+
+	parsed = buildFragment( [ data ], context, scripts );
+
+	if ( scripts && scripts.length ) {
+		jQuery( scripts ).remove();
+	}
+
+	return jQuery.merge( [], parsed.childNodes );
+};
+
+
+/**
+ * Load a url into a page
+ */
+jQuery.fn.load = function( url, params, callback ) {
+	var selector, type, response,
+		self = this,
+		off = url.indexOf( " " );
+
+	if ( off > -1 ) {
+		selector = stripAndCollapse( url.slice( off ) );
+		url = url.slice( 0, off );
+	}
+
+	// If it's a function
+	if ( isFunction( params ) ) {
+
+		// We assume that it's the callback
+		callback = params;
+		params = undefined;
+
+	// Otherwise, build a param string
+	} else if ( params && typeof params === "object" ) {
+		type = "POST";
+	}
+
+	// If we have elements to modify, make the request
+	if ( self.length > 0 ) {
+		jQuery.ajax( {
+			url: url,
+
+			// If "type" variable is undefined, then "GET" method will be used.
+			// Make value of this field explicit since
+			// user can override it through ajaxSetup method
+			type: type || "GET",
+			dataType: "html",
+			data: params
+		} ).done( function( responseText ) {
+
+			// Save response for use in complete callback
+			response = arguments;
+
+			self.html( selector ?
+
+				// If a selector was specified, locate the right elements in a dummy div
+				// Exclude scripts to avoid IE 'Permission Denied' errors
+				jQuery( "<div>" ).append( jQuery.parseHTML( responseText ) ).find( selector ) :
+
+				// Otherwise use the full result
+				responseText );
+
+		// If the request succeeds, this function gets "data", "status", "jqXHR"
+		// but they are ignored because response was set above.
+		// If it fails, this function gets "jqXHR", "status", "error"
+		} ).always( callback && function( jqXHR, status ) {
+			self.each( function() {
+				callback.apply( this, response || [ jqXHR.responseText, status, jqXHR ] );
+			} );
+		} );
+	}
+
+	return this;
+};
+
+
+
+
+jQuery.expr.pseudos.animated = function( elem ) {
+	return jQuery.grep( jQuery.timers, function( fn ) {
+		return elem === fn.elem;
+	} ).length;
+};
+
+
+
+
+jQuery.offset = {
+	setOffset: function( elem, options, i ) {
+		var curPosition, curLeft, curCSSTop, curTop, curOffset, curCSSLeft, calculatePosition,
+			position = jQuery.css( elem, "position" ),
+			curElem = jQuery( elem ),
+			props = {};
+
+		// Set position first, in-case top/left are set even on static elem
+		if ( position === "static" ) {
+			elem.style.position = "relative";
+		}
+
+		curOffset = curElem.offset();
+		curCSSTop = jQuery.css( elem, "top" );
+		curCSSLeft = jQuery.css( elem, "left" );
+		calculatePosition = ( position === "absolute" || position === "fixed" ) &&
+			( curCSSTop + curCSSLeft ).indexOf( "auto" ) > -1;
+
+		// Need to be able to calculate position if either
+		// top or left is auto and position is either absolute or fixed
+		if ( calculatePosition ) {
+			curPosition = curElem.position();
+			curTop = curPosition.top;
+			curLeft = curPosition.left;
+
+		} else {
+			curTop = parseFloat( curCSSTop ) || 0;
+			curLeft = parseFloat( curCSSLeft ) || 0;
+		}
+
+		if ( isFunction( options ) ) {
+
+			// Use jQuery.extend here to allow modification of coordinates argument (gh-1848)
+			options = options.call( elem, i, jQuery.extend( {}, curOffset ) );
+		}
+
+		if ( options.top != null ) {
+			props.top = ( options.top - curOffset.top ) + curTop;
+		}
+		if ( options.left != null ) {
+			props.left = ( options.left - curOffset.left ) + curLeft;
+		}
+
+		if ( "using" in options ) {
+			options.using.call( elem, props );
+
+		} else {
+			curElem.css( props );
+		}
+	}
+};
+
+jQuery.fn.extend( {
+
+	// offset() relates an element's border box to the document origin
+	offset: function( options ) {
+
+		// Preserve chaining for setter
+		if ( arguments.length ) {
+			return options === undefined ?
+				this :
+				this.each( function( i ) {
+					jQuery.offset.setOffset( this, options, i );
+				} );
+		}
+
+		var rect, win,
+			elem = this[ 0 ];
+
+		if ( !elem ) {
+			return;
+		}
+
+		// Return zeros for disconnected and hidden (display: none) elements (gh-2310)
+		// Support: IE <=11 only
+		// Running getBoundingClientRect on a
+		// disconnected node in IE throws an error
+		if ( !elem.getClientRects().length ) {
+			return { top: 0, left: 0 };
+		}
+
+		// Get document-relative position by adding viewport scroll to viewport-relative gBCR
+		rect = elem.getBoundingClientRect();
+		win = elem.ownerDocument.defaultView;
+		return {
+			top: rect.top + win.pageYOffset,
+			left: rect.left + win.pageXOffset
+		};
+	},
+
+	// position() relates an element's margin box to its offset parent's padding box
+	// This corresponds to the behavior of CSS absolute positioning
+	position: function() {
+		if ( !this[ 0 ] ) {
+			return;
+		}
+
+		var offsetParent, offset, doc,
+			elem = this[ 0 ],
+			parentOffset = { top: 0, left: 0 };
+
+		// position:fixed elements are offset from the viewport, which itself always has zero offset
+		if ( jQuery.css( elem, "position" ) === "fixed" ) {
+
+			// Assume position:fixed implies availability of getBoundingClientRect
+			offset = elem.getBoundingClientRect();
+
+		} else {
+			offset = this.offset();
+
+			// Account for the *real* offset parent, which can be the document or its root element
+			// when a statically positioned element is identified
+			doc = elem.ownerDocument;
+			offsetParent = elem.offsetParent || doc.documentElement;
+			while ( offsetParent &&
+				( offsetParent === doc.body || offsetParent === doc.documentElement ) &&
+				jQuery.css( offsetParent, "position" ) === "static" ) {
+
+				offsetParent = offsetParent.parentNode;
+			}
+			if ( offsetParent && offsetParent !== elem && offsetParent.nodeType === 1 ) {
+
+				// Incorporate borders into its offset, since they are outside its content origin
+				parentOffset = jQuery( offsetParent ).offset();
+				parentOffset.top += jQuery.css( offsetParent, "borderTopWidth", true );
+				parentOffset.left += jQuery.css( offsetParent, "borderLeftWidth", true );
+			}
+		}
+
+		// Subtract parent offsets and element margins
+		return {
+			top: offset.top - parentOffset.top - jQuery.css( elem, "marginTop", true ),
+			left: offset.left - parentOffset.left - jQuery.css( elem, "marginLeft", true )
+		};
+	},
+
+	// This method will return documentElement in the following cases:
+	// 1) For the element inside the iframe without offsetParent, this method will return
+	//    documentElement of the parent window
+	// 2) For the hidden or detached element
+	// 3) For body or html element, i.e. in case of the html node - it will return itself
+	//
+	// but those exceptions were never presented as a real life use-cases
+	// and might be considered as more preferable results.
+	//
+	// This logic, however, is not guaranteed and can change at any point in the future
+	offsetParent: function() {
+		return this.map( function() {
+			var offsetParent = this.offsetParent;
+
+			while ( offsetParent && jQuery.css( offsetParent, "position" ) === "static" ) {
+				offsetParent = offsetParent.offsetParent;
+			}
+
+			return offsetParent || documentElement;
+		} );
+	}
+} );
+
+// Create scrollLeft and scrollTop methods
+jQuery.each( { scrollLeft: "pageXOffset", scrollTop: "pageYOffset" }, function( method, prop ) {
+	var top = "pageYOffset" === prop;
+
+	jQuery.fn[ method ] = function( val ) {
+		return access( this, function( elem, method, val ) {
+
+			// Coalesce documents and windows
+			var win;
+			if ( isWindow( elem ) ) {
+				win = elem;
+			} else if ( elem.nodeType === 9 ) {
+				win = elem.defaultView;
+			}
+
+			if ( val === undefined ) {
+				return win ? win[ prop ] : elem[ method ];
+			}
+
+			if ( win ) {
+				win.scrollTo(
+					!top ? val : win.pageXOffset,
+					top ? val : win.pageYOffset
+				);
+
+			} else {
+				elem[ method ] = val;
+			}
+		}, method, val, arguments.length );
+	};
+} );
+
+// Support: Safari <=7 - 9.1, Chrome <=37 - 49
+// Add the top/left cssHooks using jQuery.fn.position
+// Webkit bug: https://bugs.webkit.org/show_bug.cgi?id=29084
+// Blink bug: https://bugs.chromium.org/p/chromium/issues/detail?id=589347
+// getComputedStyle returns percent when specified for top/left/bottom/right;
+// rather than make the css module depend on the offset module, just check for it here
+jQuery.each( [ "top", "left" ], function( _i, prop ) {
+	jQuery.cssHooks[ prop ] = addGetHookIf( support.pixelPosition,
+		function( elem, computed ) {
+			if ( computed ) {
+				computed = curCSS( elem, prop );
+
+				// If curCSS returns percentage, fallback to offset
+				return rnumnonpx.test( computed ) ?
+					jQuery( elem ).position()[ prop ] + "px" :
+					computed;
+			}
+		}
+	);
+} );
+
+
+// Create innerHeight, innerWidth, height, width, outerHeight and outerWidth methods
+jQuery.each( { Height: "height", Width: "width" }, function( name, type ) {
+	jQuery.each( {
+		padding: "inner" + name,
+		content: type,
+		"": "outer" + name
+	}, function( defaultExtra, funcName ) {
+
+		// Margin is only for outerHeight, outerWidth
+		jQuery.fn[ funcName ] = function( margin, value ) {
+			var chainable = arguments.length && ( defaultExtra || typeof margin !== "boolean" ),
+				extra = defaultExtra || ( margin === true || value === true ? "margin" : "border" );
+
+			return access( this, function( elem, type, value ) {
+				var doc;
+
+				if ( isWindow( elem ) ) {
+
+					// $( window ).outerWidth/Height return w/h including scrollbars (gh-1729)
+					return funcName.indexOf( "outer" ) === 0 ?
+						elem[ "inner" + name ] :
+						elem.document.documentElement[ "client" + name ];
+				}
+
+				// Get document width or height
+				if ( elem.nodeType === 9 ) {
+					doc = elem.documentElement;
+
+					// Either scroll[Width/Height] or offset[Width/Height] or client[Width/Height],
+					// whichever is greatest
+					return Math.max(
+						elem.body[ "scroll" + name ], doc[ "scroll" + name ],
+						elem.body[ "offset" + name ], doc[ "offset" + name ],
+						doc[ "client" + name ]
+					);
+				}
+
+				return value === undefined ?
+
+					// Get width or height on the element, requesting but not forcing parseFloat
+					jQuery.css( elem, type, extra ) :
+
+					// Set width or height on the element
+					jQuery.style( elem, type, value, extra );
+			}, type, chainable ? margin : undefined, chainable );
+		};
+	} );
+} );
+
+
+jQuery.each( [
+	"ajaxStart",
+	"ajaxStop",
+	"ajaxComplete",
+	"ajaxError",
+	"ajaxSuccess",
+	"ajaxSend"
+], function( _i, type ) {
+	jQuery.fn[ type ] = function( fn ) {
+		return this.on( type, fn );
+	};
+} );
+
+
+
+
+jQuery.fn.extend( {
+
+	bind: function( types, data, fn ) {
+		return this.on( types, null, data, fn );
+	},
+	unbind: function( types, fn ) {
+		return this.off( types, null, fn );
+	},
+
+	delegate: function( selector, types, data, fn ) {
+		return this.on( types, selector, data, fn );
+	},
+	undelegate: function( selector, types, fn ) {
+
+		// ( namespace ) or ( selector, types [, fn] )
+		return arguments.length === 1 ?
+			this.off( selector, "**" ) :
+			this.off( types, selector || "**", fn );
+	},
+
+	hover: function( fnOver, fnOut ) {
+		return this.mouseenter( fnOver ).mouseleave( fnOut || fnOver );
+	}
+} );
+
+jQuery.each(
+	( "blur focus focusin focusout resize scroll click dblclick " +
+	"mousedown mouseup mousemove mouseover mouseout mouseenter mouseleave " +
+	"change select submit keydown keypress keyup contextmenu" ).split( " " ),
+	function( _i, name ) {
+
+		// Handle event binding
+		jQuery.fn[ name ] = function( data, fn ) {
+			return arguments.length > 0 ?
+				this.on( name, null, data, fn ) :
+				this.trigger( name );
+		};
+	}
+);
+
+
+
+
+// Support: Android <=4.0 only
+// Make sure we trim BOM and NBSP
+var rtrim = /^[\s\uFEFF\xA0]+|[\s\uFEFF\xA0]+$/g;
+
+// Bind a function to a context, optionally partially applying any
+// arguments.
+// jQuery.proxy is deprecated to promote standards (specifically Function#bind)
+// However, it is not slated for removal any time soon
+jQuery.proxy = function( fn, context ) {
+	var tmp, args, proxy;
+
+	if ( typeof context === "string" ) {
+		tmp = fn[ context ];
+		context = fn;
+		fn = tmp;
+	}
+
+	// Quick check to determine if target is callable, in the spec
+	// this throws a TypeError, but we will just return undefined.
+	if ( !isFunction( fn ) ) {
+		return undefined;
+	}
+
+	// Simulated bind
+	args = slice.call( arguments, 2 );
+	proxy = function() {
+		return fn.apply( context || this, args.concat( slice.call( arguments ) ) );
+	};
+
+	// Set the guid of unique handler to the same of original handler, so it can be removed
+	proxy.guid = fn.guid = fn.guid || jQuery.guid++;
+
+	return proxy;
+};
+
+jQuery.holdReady = function( hold ) {
+	if ( hold ) {
+		jQuery.readyWait++;
+	} else {
+		jQuery.ready( true );
+	}
+};
+jQuery.isArray = Array.isArray;
+jQuery.parseJSON = JSON.parse;
+jQuery.nodeName = nodeName;
+jQuery.isFunction = isFunction;
+jQuery.isWindow = isWindow;
+jQuery.camelCase = camelCase;
+jQuery.type = toType;
+
+jQuery.now = Date.now;
+
+jQuery.isNumeric = function( obj ) {
+
+	// As of jQuery 3.0, isNumeric is limited to
+	// strings and numbers (primitives or objects)
+	// that can be coerced to finite numbers (gh-2662)
+	var type = jQuery.type( obj );
+	return ( type === "number" || type === "string" ) &&
+
+		// parseFloat NaNs numeric-cast false positives ("")
+		// ...but misinterprets leading-number strings, particularly hex literals ("0x...")
+		// subtraction forces infinities to NaN
+		!isNaN( obj - parseFloat( obj ) );
+};
+
+jQuery.trim = function( text ) {
+	return text == null ?
+		"" :
+		( text + "" ).replace( rtrim, "" );
+};
+
+
+
+// Register as a named AMD module, since jQuery can be concatenated with other
+// files that may use define, but not via a proper concatenation script that
+// understands anonymous AMD modules. A named AMD is safest and most robust
+// way to register. Lowercase jquery is used because AMD module names are
+// derived from file names, and jQuery is normally delivered in a lowercase
+// file name. Do this after creating the global so that if an AMD module wants
+// to call noConflict to hide this version of jQuery, it will work.
+
+// Note that for maximum portability, libraries that are not jQuery should
+// declare themselves as anonymous modules, and avoid setting a global if an
+// AMD loader is present. jQuery is a special case. For more information, see
+// https://github.com/jrburke/requirejs/wiki/Updating-existing-libraries#wiki-anon
+
+if ( typeof define === "function" && define.amd ) {
+	define( "jquery", [], function() {
+		return jQuery;
+	} );
+}
+
+
+
+
+var
+
+	// Map over jQuery in case of overwrite
+	_jQuery = window.jQuery,
+
+	// Map over the $ in case of overwrite
+	_$ = window.$;
+
+jQuery.noConflict = function( deep ) {
+	if ( window.$ === jQuery ) {
+		window.$ = _$;
+	}
+
+	if ( deep && window.jQuery === jQuery ) {
+		window.jQuery = _jQuery;
+	}
+
+	return jQuery;
+};
+
+// Expose jQuery and $ identifiers, even in AMD
+// (#7102#comment:10, https://github.com/jquery/jquery/pull/557)
+// and CommonJS for browser emulators (#13566)
+if ( typeof noGlobal === "undefined" ) {
+	window.jQuery = window.$ = jQuery;
+}
+
+
+
+
+return jQuery;
+} );
diff --git a/docs/build/html/_static/jquery.js b/docs/build/html/_static/jquery.js
new file mode 100644
index 000000000..c4c6022f2
--- /dev/null
+++ b/docs/build/html/_static/jquery.js
@@ -0,0 +1,2 @@
+/*! jQuery v3.6.0 | (c) OpenJS Foundation and other contributors | jquery.org/license */
+!function(e,t){"use strict";"object"==typeof module&&"object"==typeof module.exports?module.exports=e.document?t(e,!0):function(e){if(!e.document)throw new Error("jQuery requires a window with a document");return t(e)}:t(e)}("undefined"!=typeof window?window:this,function(C,e){"use strict";var t=[],r=Object.getPrototypeOf,s=t.slice,g=t.flat?function(e){return t.flat.call(e)}:function(e){return t.concat.apply([],e)},u=t.push,i=t.indexOf,n={},o=n.toString,v=n.hasOwnProperty,a=v.toString,l=a.call(Object),y={},m=function(e){return"function"==typeof e&&"number"!=typeof e.nodeType&&"function"!=typeof e.item},x=function(e){return null!=e&&e===e.window},E=C.document,c={type:!0,src:!0,nonce:!0,noModule:!0};function b(e,t,n){var r,i,o=(n=n||E).createElement("script");if(o.text=e,t)for(r in c)(i=t[r]||t.getAttribute&&t.getAttribute(r))&&o.setAttribute(r,i);n.head.appendChild(o).parentNode.removeChild(o)}function w(e){return null==e?e+"":"object"==typeof e||"function"==typeof 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e=n.closest("li");e.siblings("li.current").removeClass("current").attr("aria-expanded","false"),e.siblings().find("li.current").removeClass("current").attr("aria-expanded","false");var t=e.find("> ul li");t.length&&(t.removeClass("current").attr("aria-expanded","false"),e.toggleClass("current").attr("aria-expanded",(function(n,e){return"true"==e?"false":"true"})))}},"undefined"!=typeof window&&(window.SphinxRtdTheme={Navigation:n.exports.ThemeNav,StickyNav:n.exports.ThemeNav}),function(){for(var n=0,e=["ms","moz","webkit","o"],t=0;t<e.length&&!window.requestAnimationFrame;++t)window.requestAnimationFrame=window[e[t]+"RequestAnimationFrame"],window.cancelAnimationFrame=window[e[t]+"CancelAnimationFrame"]||window[e[t]+"CancelRequestAnimationFrame"];window.requestAnimationFrame||(window.requestAnimationFrame=function(e,t){var i=(new Date).getTime(),o=Math.max(0,16-(i-n)),r=window.setTimeout((function(){e(i+o)}),o);return 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diff --git a/docs/build/html/_static/language_data.js b/docs/build/html/_static/language_data.js
new file mode 100644
index 000000000..2e22b06ab
--- /dev/null
+++ b/docs/build/html/_static/language_data.js
@@ -0,0 +1,199 @@
+/*
+ * language_data.js
+ * ~~~~~~~~~~~~~~~~
+ *
+ * This script contains the language-specific data used by searchtools.js,
+ * namely the list of stopwords, stemmer, scorer and splitter.
+ *
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
+ * :license: BSD, see LICENSE for details.
+ *
+ */
+
+var stopwords = ["a", "and", "are", "as", "at", "be", "but", "by", "for", "if", "in", "into", "is", "it", "near", "no", "not", "of", "on", "or", "such", "that", "the", "their", "then", "there", "these", "they", "this", "to", "was", "will", "with"];
+
+
+/* Non-minified version is copied as a separate JS file, is available */
+
+/**
+ * Porter Stemmer
+ */
+var Stemmer = function() {
+
+  var step2list = {
+    ational: 'ate',
+    tional: 'tion',
+    enci: 'ence',
+    anci: 'ance',
+    izer: 'ize',
+    bli: 'ble',
+    alli: 'al',
+    entli: 'ent',
+    eli: 'e',
+    ousli: 'ous',
+    ization: 'ize',
+    ation: 'ate',
+    ator: 'ate',
+    alism: 'al',
+    iveness: 'ive',
+    fulness: 'ful',
+    ousness: 'ous',
+    aliti: 'al',
+    iviti: 'ive',
+    biliti: 'ble',
+    logi: 'log'
+  };
+
+  var step3list = {
+    icate: 'ic',
+    ative: '',
+    alize: 'al',
+    iciti: 'ic',
+    ical: 'ic',
+    ful: '',
+    ness: ''
+  };
+
+  var c = "[^aeiou]";          // consonant
+  var v = "[aeiouy]";          // vowel
+  var C = c + "[^aeiouy]*";    // consonant sequence
+  var V = v + "[aeiou]*";      // vowel sequence
+
+  var mgr0 = "^(" + C + ")?" + V + C;                      // [C]VC... is m>0
+  var meq1 = "^(" + C + ")?" + V + C + "(" + V + ")?$";    // [C]VC[V] is m=1
+  var mgr1 = "^(" + C + ")?" + V + C + V + C;              // [C]VCVC... is m>1
+  var s_v   = "^(" + C + ")?" + v;                         // vowel in stem
+
+  this.stemWord = function (w) {
+    var stem;
+    var suffix;
+    var firstch;
+    var origword = w;
+
+    if (w.length < 3)
+      return w;
+
+    var re;
+    var re2;
+    var re3;
+    var re4;
+
+    firstch = w.substr(0,1);
+    if (firstch == "y")
+      w = firstch.toUpperCase() + w.substr(1);
+
+    // Step 1a
+    re = /^(.+?)(ss|i)es$/;
+    re2 = /^(.+?)([^s])s$/;
+
+    if (re.test(w))
+      w = w.replace(re,"$1$2");
+    else if (re2.test(w))
+      w = w.replace(re2,"$1$2");
+
+    // Step 1b
+    re = /^(.+?)eed$/;
+    re2 = /^(.+?)(ed|ing)$/;
+    if (re.test(w)) {
+      var fp = re.exec(w);
+      re = new RegExp(mgr0);
+      if (re.test(fp[1])) {
+        re = /.$/;
+        w = w.replace(re,"");
+      }
+    }
+    else if (re2.test(w)) {
+      var fp = re2.exec(w);
+      stem = fp[1];
+      re2 = new RegExp(s_v);
+      if (re2.test(stem)) {
+        w = stem;
+        re2 = /(at|bl|iz)$/;
+        re3 = new RegExp("([^aeiouylsz])\\1$");
+        re4 = new RegExp("^" + C + v + "[^aeiouwxy]$");
+        if (re2.test(w))
+          w = w + "e";
+        else if (re3.test(w)) {
+          re = /.$/;
+          w = w.replace(re,"");
+        }
+        else if (re4.test(w))
+          w = w + "e";
+      }
+    }
+
+    // Step 1c
+    re = /^(.+?)y$/;
+    if (re.test(w)) {
+      var fp = re.exec(w);
+      stem = fp[1];
+      re = new RegExp(s_v);
+      if (re.test(stem))
+        w = stem + "i";
+    }
+
+    // Step 2
+    re = /^(.+?)(ational|tional|enci|anci|izer|bli|alli|entli|eli|ousli|ization|ation|ator|alism|iveness|fulness|ousness|aliti|iviti|biliti|logi)$/;
+    if (re.test(w)) {
+      var fp = re.exec(w);
+      stem = fp[1];
+      suffix = fp[2];
+      re = new RegExp(mgr0);
+      if (re.test(stem))
+        w = stem + step2list[suffix];
+    }
+
+    // Step 3
+    re = /^(.+?)(icate|ative|alize|iciti|ical|ful|ness)$/;
+    if (re.test(w)) {
+      var fp = re.exec(w);
+      stem = fp[1];
+      suffix = fp[2];
+      re = new RegExp(mgr0);
+      if (re.test(stem))
+        w = stem + step3list[suffix];
+    }
+
+    // Step 4
+    re = /^(.+?)(al|ance|ence|er|ic|able|ible|ant|ement|ment|ent|ou|ism|ate|iti|ous|ive|ize)$/;
+    re2 = /^(.+?)(s|t)(ion)$/;
+    if (re.test(w)) {
+      var fp = re.exec(w);
+      stem = fp[1];
+      re = new RegExp(mgr1);
+      if (re.test(stem))
+        w = stem;
+    }
+    else if (re2.test(w)) {
+      var fp = re2.exec(w);
+      stem = fp[1] + fp[2];
+      re2 = new RegExp(mgr1);
+      if (re2.test(stem))
+        w = stem;
+    }
+
+    // Step 5
+    re = /^(.+?)e$/;
+    if (re.test(w)) {
+      var fp = re.exec(w);
+      stem = fp[1];
+      re = new RegExp(mgr1);
+      re2 = new RegExp(meq1);
+      re3 = new RegExp("^" + C + v + "[^aeiouwxy]$");
+      if (re.test(stem) || (re2.test(stem) && !(re3.test(stem))))
+        w = stem;
+    }
+    re = /ll$/;
+    re2 = new RegExp(mgr1);
+    if (re.test(w) && re2.test(w)) {
+      re = /.$/;
+      w = w.replace(re,"");
+    }
+
+    // and turn initial Y back to y
+    if (firstch == "y")
+      w = firstch.toLowerCase() + w.substr(1);
+    return w;
+  }
+}
+
diff --git a/docs/build/html/_static/minus.png b/docs/build/html/_static/minus.png
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diff --git a/docs/build/html/_static/plus.png b/docs/build/html/_static/plus.png
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GIT binary patch
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literal 0
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diff --git a/docs/build/html/_static/pygments.css b/docs/build/html/_static/pygments.css
new file mode 100644
index 000000000..691aeb82d
--- /dev/null
+++ b/docs/build/html/_static/pygments.css
@@ -0,0 +1,74 @@
+pre { line-height: 125%; }
+td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
+span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
+td.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
+span.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
+.highlight .hll { background-color: #ffffcc }
+.highlight { background: #eeffcc; }
+.highlight .c { color: #408090; font-style: italic } /* Comment */
+.highlight .err { border: 1px solid #FF0000 } /* Error */
+.highlight .k { color: #007020; font-weight: bold } /* Keyword */
+.highlight .o { color: #666666 } /* Operator */
+.highlight .ch { color: #408090; font-style: italic } /* Comment.Hashbang */
+.highlight .cm { color: #408090; font-style: italic } /* Comment.Multiline */
+.highlight .cp { color: #007020 } /* Comment.Preproc */
+.highlight .cpf { color: #408090; font-style: italic } /* Comment.PreprocFile */
+.highlight .c1 { color: #408090; font-style: italic } /* Comment.Single */
+.highlight .cs { color: #408090; background-color: #fff0f0 } /* Comment.Special */
+.highlight .gd { color: #A00000 } /* Generic.Deleted */
+.highlight .ge { font-style: italic } /* Generic.Emph */
+.highlight .gr { color: #FF0000 } /* Generic.Error */
+.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */
+.highlight .gi { color: #00A000 } /* Generic.Inserted */
+.highlight .go { color: #333333 } /* Generic.Output */
+.highlight .gp { color: #c65d09; font-weight: bold } /* Generic.Prompt */
+.highlight .gs { font-weight: bold } /* Generic.Strong */
+.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */
+.highlight .gt { color: #0044DD } /* Generic.Traceback */
+.highlight .kc { color: #007020; font-weight: bold } /* Keyword.Constant */
+.highlight .kd { color: #007020; font-weight: bold } /* Keyword.Declaration */
+.highlight .kn { color: #007020; font-weight: bold } /* Keyword.Namespace */
+.highlight .kp { color: #007020 } /* Keyword.Pseudo */
+.highlight .kr { color: #007020; font-weight: bold } /* Keyword.Reserved */
+.highlight .kt { color: #902000 } /* Keyword.Type */
+.highlight .m { color: #208050 } /* Literal.Number */
+.highlight .s { color: #4070a0 } /* Literal.String */
+.highlight .na { color: #4070a0 } /* Name.Attribute */
+.highlight .nb { color: #007020 } /* Name.Builtin */
+.highlight .nc { color: #0e84b5; font-weight: bold } /* Name.Class */
+.highlight .no { color: #60add5 } /* Name.Constant */
+.highlight .nd { color: #555555; font-weight: bold } /* Name.Decorator */
+.highlight .ni { color: #d55537; font-weight: bold } /* Name.Entity */
+.highlight .ne { color: #007020 } /* Name.Exception */
+.highlight .nf { color: #06287e } /* Name.Function */
+.highlight .nl { color: #002070; font-weight: bold } /* Name.Label */
+.highlight .nn { color: #0e84b5; font-weight: bold } /* Name.Namespace */
+.highlight .nt { color: #062873; font-weight: bold } /* Name.Tag */
+.highlight .nv { color: #bb60d5 } /* Name.Variable */
+.highlight .ow { color: #007020; font-weight: bold } /* Operator.Word */
+.highlight .w { color: #bbbbbb } /* Text.Whitespace */
+.highlight .mb { color: #208050 } /* Literal.Number.Bin */
+.highlight .mf { color: #208050 } /* Literal.Number.Float */
+.highlight .mh { color: #208050 } /* Literal.Number.Hex */
+.highlight .mi { color: #208050 } /* Literal.Number.Integer */
+.highlight .mo { color: #208050 } /* Literal.Number.Oct */
+.highlight .sa { color: #4070a0 } /* Literal.String.Affix */
+.highlight .sb { color: #4070a0 } /* Literal.String.Backtick */
+.highlight .sc { color: #4070a0 } /* Literal.String.Char */
+.highlight .dl { color: #4070a0 } /* Literal.String.Delimiter */
+.highlight .sd { color: #4070a0; font-style: italic } /* Literal.String.Doc */
+.highlight .s2 { color: #4070a0 } /* Literal.String.Double */
+.highlight .se { color: #4070a0; font-weight: bold } /* Literal.String.Escape */
+.highlight .sh { color: #4070a0 } /* Literal.String.Heredoc */
+.highlight .si { color: #70a0d0; font-style: italic } /* Literal.String.Interpol */
+.highlight .sx { color: #c65d09 } /* Literal.String.Other */
+.highlight .sr { color: #235388 } /* Literal.String.Regex */
+.highlight .s1 { color: #4070a0 } /* Literal.String.Single */
+.highlight .ss { color: #517918 } /* Literal.String.Symbol */
+.highlight .bp { color: #007020 } /* Name.Builtin.Pseudo */
+.highlight .fm { color: #06287e } /* Name.Function.Magic */
+.highlight .vc { color: #bb60d5 } /* Name.Variable.Class */
+.highlight .vg { color: #bb60d5 } /* Name.Variable.Global */
+.highlight .vi { color: #bb60d5 } /* Name.Variable.Instance */
+.highlight .vm { color: #bb60d5 } /* Name.Variable.Magic */
+.highlight .il { color: #208050 } /* Literal.Number.Integer.Long */
\ No newline at end of file
diff --git a/docs/build/html/_static/searchtools.js b/docs/build/html/_static/searchtools.js
new file mode 100644
index 000000000..ac4d5861f
--- /dev/null
+++ b/docs/build/html/_static/searchtools.js
@@ -0,0 +1,531 @@
+/*
+ * searchtools.js
+ * ~~~~~~~~~~~~~~~~
+ *
+ * Sphinx JavaScript utilities for the full-text search.
+ *
+ * :copyright: Copyright 2007-2022 by the Sphinx team, see AUTHORS.
+ * :license: BSD, see LICENSE for details.
+ *
+ */
+"use strict";
+
+/**
+ * Simple result scoring code.
+ */
+if (typeof Scorer === "undefined") {
+  var Scorer = {
+    // Implement the following function to further tweak the score for each result
+    // The function takes a result array [docname, title, anchor, descr, score, filename]
+    // and returns the new score.
+    /*
+    score: result => {
+      const [docname, title, anchor, descr, score, filename] = result
+      return score
+    },
+    */
+
+    // query matches the full name of an object
+    objNameMatch: 11,
+    // or matches in the last dotted part of the object name
+    objPartialMatch: 6,
+    // Additive scores depending on the priority of the object
+    objPrio: {
+      0: 15, // used to be importantResults
+      1: 5, // used to be objectResults
+      2: -5, // used to be unimportantResults
+    },
+    //  Used when the priority is not in the mapping.
+    objPrioDefault: 0,
+
+    // query found in title
+    title: 15,
+    partialTitle: 7,
+    // query found in terms
+    term: 5,
+    partialTerm: 2,
+  };
+}
+
+const _removeChildren = (element) => {
+  while (element && element.lastChild) element.removeChild(element.lastChild);
+};
+
+/**
+ * See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions#escaping
+ */
+const _escapeRegExp = (string) =>
+  string.replace(/[.*+\-?^${}()|[\]\\]/g, "\\$&"); // $& means the whole matched string
+
+const _displayItem = (item, highlightTerms, searchTerms) => {
+  const docBuilder = DOCUMENTATION_OPTIONS.BUILDER;
+  const docUrlRoot = DOCUMENTATION_OPTIONS.URL_ROOT;
+  const docFileSuffix = DOCUMENTATION_OPTIONS.FILE_SUFFIX;
+  const docLinkSuffix = DOCUMENTATION_OPTIONS.LINK_SUFFIX;
+  const showSearchSummary = DOCUMENTATION_OPTIONS.SHOW_SEARCH_SUMMARY;
+
+  const [docName, title, anchor, descr] = item;
+
+  let listItem = document.createElement("li");
+  let requestUrl;
+  let linkUrl;
+  if (docBuilder === "dirhtml") {
+    // dirhtml builder
+    let dirname = docName + "/";
+    if (dirname.match(/\/index\/$/))
+      dirname = dirname.substring(0, dirname.length - 6);
+    else if (dirname === "index/") dirname = "";
+    requestUrl = docUrlRoot + dirname;
+    linkUrl = requestUrl;
+  } else {
+    // normal html builders
+    requestUrl = docUrlRoot + docName + docFileSuffix;
+    linkUrl = docName + docLinkSuffix;
+  }
+  const params = new URLSearchParams();
+  params.set("highlight", [...highlightTerms].join(" "));
+  let linkEl = listItem.appendChild(document.createElement("a"));
+  linkEl.href = linkUrl + "?" + params.toString() + anchor;
+  linkEl.innerHTML = title;
+  if (descr)
+    listItem.appendChild(document.createElement("span")).innerText =
+      " (" + descr + ")";
+  else if (showSearchSummary)
+    fetch(requestUrl)
+      .then((responseData) => responseData.text())
+      .then((data) => {
+        if (data)
+          listItem.appendChild(
+            Search.makeSearchSummary(data, searchTerms, highlightTerms)
+          );
+      });
+  Search.output.appendChild(listItem);
+};
+const _finishSearch = (resultCount) => {
+  Search.stopPulse();
+  Search.title.innerText = _("Search Results");
+  if (!resultCount)
+    Search.status.innerText = Documentation.gettext(
+      "Your search did not match any documents. Please make sure that all words are spelled correctly and that you've selected enough categories."
+    );
+  else
+    Search.status.innerText = _(
+      `Search finished, found ${resultCount} page(s) matching the search query.`
+    );
+};
+const _displayNextItem = (
+  results,
+  resultCount,
+  highlightTerms,
+  searchTerms
+) => {
+  // results left, load the summary and display it
+  // this is intended to be dynamic (don't sub resultsCount)
+  if (results.length) {
+    _displayItem(results.pop(), highlightTerms, searchTerms);
+    setTimeout(
+      () => _displayNextItem(results, resultCount, highlightTerms, searchTerms),
+      5
+    );
+  }
+  // search finished, update title and status message
+  else _finishSearch(resultCount);
+};
+
+/**
+ * Default splitQuery function. Can be overridden in ``sphinx.search`` with a
+ * custom function per language.
+ *
+ * The regular expression works by splitting the string on consecutive characters
+ * that are not Unicode letters, numbers, underscores, or emoji characters.
+ * This is the same as ``\W+`` in Python, preserving the surrogate pair area.
+ */
+if (typeof splitQuery === "undefined") {
+  var splitQuery = (query) => query
+      .split(/[^\p{Letter}\p{Number}_\p{Emoji_Presentation}]+/gu)
+      .filter(term => term)  // remove remaining empty strings
+}
+
+/**
+ * Search Module
+ */
+const Search = {
+  _index: null,
+  _queued_query: null,
+  _pulse_status: -1,
+
+  htmlToText: (htmlString) => {
+    const htmlElement = document
+      .createRange()
+      .createContextualFragment(htmlString);
+    _removeChildren(htmlElement.querySelectorAll(".headerlink"));
+    const docContent = htmlElement.querySelector('[role="main"]');
+    if (docContent !== undefined) return docContent.textContent;
+    console.warn(
+      "Content block not found. Sphinx search tries to obtain it via '[role=main]'. Could you check your theme or template."
+    );
+    return "";
+  },
+
+  init: () => {
+    const query = new URLSearchParams(window.location.search).get("q");
+    document
+      .querySelectorAll('input[name="q"]')
+      .forEach((el) => (el.value = query));
+    if (query) Search.performSearch(query);
+  },
+
+  loadIndex: (url) =>
+    (document.body.appendChild(document.createElement("script")).src = url),
+
+  setIndex: (index) => {
+    Search._index = index;
+    if (Search._queued_query !== null) {
+      const query = Search._queued_query;
+      Search._queued_query = null;
+      Search.query(query);
+    }
+  },
+
+  hasIndex: () => Search._index !== null,
+
+  deferQuery: (query) => (Search._queued_query = query),
+
+  stopPulse: () => (Search._pulse_status = -1),
+
+  startPulse: () => {
+    if (Search._pulse_status >= 0) return;
+
+    const pulse = () => {
+      Search._pulse_status = (Search._pulse_status + 1) % 4;
+      Search.dots.innerText = ".".repeat(Search._pulse_status);
+      if (Search._pulse_status >= 0) window.setTimeout(pulse, 500);
+    };
+    pulse();
+  },
+
+  /**
+   * perform a search for something (or wait until index is loaded)
+   */
+  performSearch: (query) => {
+    // create the required interface elements
+    const searchText = document.createElement("h2");
+    searchText.textContent = _("Searching");
+    const searchSummary = document.createElement("p");
+    searchSummary.classList.add("search-summary");
+    searchSummary.innerText = "";
+    const searchList = document.createElement("ul");
+    searchList.classList.add("search");
+
+    const out = document.getElementById("search-results");
+    Search.title = out.appendChild(searchText);
+    Search.dots = Search.title.appendChild(document.createElement("span"));
+    Search.status = out.appendChild(searchSummary);
+    Search.output = out.appendChild(searchList);
+
+    const searchProgress = document.getElementById("search-progress");
+    // Some themes don't use the search progress node
+    if (searchProgress) {
+      searchProgress.innerText = _("Preparing search...");
+    }
+    Search.startPulse();
+
+    // index already loaded, the browser was quick!
+    if (Search.hasIndex()) Search.query(query);
+    else Search.deferQuery(query);
+  },
+
+  /**
+   * execute search (requires search index to be loaded)
+   */
+  query: (query) => {
+    // stem the search terms and add them to the correct list
+    const stemmer = new Stemmer();
+    const searchTerms = new Set();
+    const excludedTerms = new Set();
+    const highlightTerms = new Set();
+    const objectTerms = new Set(splitQuery(query.toLowerCase().trim()));
+    splitQuery(query.trim()).forEach((queryTerm) => {
+      const queryTermLower = queryTerm.toLowerCase();
+
+      // maybe skip this "word"
+      // stopwords array is from language_data.js
+      if (
+        stopwords.indexOf(queryTermLower) !== -1 ||
+        queryTerm.match(/^\d+$/)
+      )
+        return;
+
+      // stem the word
+      let word = stemmer.stemWord(queryTermLower);
+      // select the correct list
+      if (word[0] === "-") excludedTerms.add(word.substr(1));
+      else {
+        searchTerms.add(word);
+        highlightTerms.add(queryTermLower);
+      }
+    });
+
+    // console.debug("SEARCH: searching for:");
+    // console.info("required: ", [...searchTerms]);
+    // console.info("excluded: ", [...excludedTerms]);
+
+    // array of [docname, title, anchor, descr, score, filename]
+    let results = [];
+    _removeChildren(document.getElementById("search-progress"));
+
+    // lookup as object
+    objectTerms.forEach((term) =>
+      results.push(...Search.performObjectSearch(term, objectTerms))
+    );
+
+    // lookup as search terms in fulltext
+    results.push(...Search.performTermsSearch(searchTerms, excludedTerms));
+
+    // let the scorer override scores with a custom scoring function
+    if (Scorer.score) results.forEach((item) => (item[4] = Scorer.score(item)));
+
+    // now sort the results by score (in opposite order of appearance, since the
+    // display function below uses pop() to retrieve items) and then
+    // alphabetically
+    results.sort((a, b) => {
+      const leftScore = a[4];
+      const rightScore = b[4];
+      if (leftScore === rightScore) {
+        // same score: sort alphabetically
+        const leftTitle = a[1].toLowerCase();
+        const rightTitle = b[1].toLowerCase();
+        if (leftTitle === rightTitle) return 0;
+        return leftTitle > rightTitle ? -1 : 1; // inverted is intentional
+      }
+      return leftScore > rightScore ? 1 : -1;
+    });
+
+    // remove duplicate search results
+    // note the reversing of results, so that in the case of duplicates, the highest-scoring entry is kept
+    let seen = new Set();
+    results = results.reverse().reduce((acc, result) => {
+      let resultStr = result.slice(0, 4).concat([result[5]]).map(v => String(v)).join(',');
+      if (!seen.has(resultStr)) {
+        acc.push(result);
+        seen.add(resultStr);
+      }
+      return acc;
+    }, []);
+
+    results = results.reverse();
+
+    // for debugging
+    //Search.lastresults = results.slice();  // a copy
+    // console.info("search results:", Search.lastresults);
+
+    // print the results
+    _displayNextItem(results, results.length, highlightTerms, searchTerms);
+  },
+
+  /**
+   * search for object names
+   */
+  performObjectSearch: (object, objectTerms) => {
+    const filenames = Search._index.filenames;
+    const docNames = Search._index.docnames;
+    const objects = Search._index.objects;
+    const objNames = Search._index.objnames;
+    const titles = Search._index.titles;
+
+    const results = [];
+
+    const objectSearchCallback = (prefix, match) => {
+      const name = match[4]
+      const fullname = (prefix ? prefix + "." : "") + name;
+      const fullnameLower = fullname.toLowerCase();
+      if (fullnameLower.indexOf(object) < 0) return;
+
+      let score = 0;
+      const parts = fullnameLower.split(".");
+
+      // check for different match types: exact matches of full name or
+      // "last name" (i.e. last dotted part)
+      if (fullnameLower === object || parts.slice(-1)[0] === object)
+        score += Scorer.objNameMatch;
+      else if (parts.slice(-1)[0].indexOf(object) > -1)
+        score += Scorer.objPartialMatch; // matches in last name
+
+      const objName = objNames[match[1]][2];
+      const title = titles[match[0]];
+
+      // If more than one term searched for, we require other words to be
+      // found in the name/title/description
+      const otherTerms = new Set(objectTerms);
+      otherTerms.delete(object);
+      if (otherTerms.size > 0) {
+        const haystack = `${prefix} ${name} ${objName} ${title}`.toLowerCase();
+        if (
+          [...otherTerms].some((otherTerm) => haystack.indexOf(otherTerm) < 0)
+        )
+          return;
+      }
+
+      let anchor = match[3];
+      if (anchor === "") anchor = fullname;
+      else if (anchor === "-") anchor = objNames[match[1]][1] + "-" + fullname;
+
+      const descr = objName + _(", in ") + title;
+
+      // add custom score for some objects according to scorer
+      if (Scorer.objPrio.hasOwnProperty(match[2]))
+        score += Scorer.objPrio[match[2]];
+      else score += Scorer.objPrioDefault;
+
+      results.push([
+        docNames[match[0]],
+        fullname,
+        "#" + anchor,
+        descr,
+        score,
+        filenames[match[0]],
+      ]);
+    };
+    Object.keys(objects).forEach((prefix) =>
+      objects[prefix].forEach((array) =>
+        objectSearchCallback(prefix, array)
+      )
+    );
+    return results;
+  },
+
+  /**
+   * search for full-text terms in the index
+   */
+  performTermsSearch: (searchTerms, excludedTerms) => {
+    // prepare search
+    const terms = Search._index.terms;
+    const titleTerms = Search._index.titleterms;
+    const docNames = Search._index.docnames;
+    const filenames = Search._index.filenames;
+    const titles = Search._index.titles;
+
+    const scoreMap = new Map();
+    const fileMap = new Map();
+
+    // perform the search on the required terms
+    searchTerms.forEach((word) => {
+      const files = [];
+      const arr = [
+        { files: terms[word], score: Scorer.term },
+        { files: titleTerms[word], score: Scorer.title },
+      ];
+      // add support for partial matches
+      if (word.length > 2) {
+        const escapedWord = _escapeRegExp(word);
+        Object.keys(terms).forEach((term) => {
+          if (term.match(escapedWord) && !terms[word])
+            arr.push({ files: terms[term], score: Scorer.partialTerm });
+        });
+        Object.keys(titleTerms).forEach((term) => {
+          if (term.match(escapedWord) && !titleTerms[word])
+            arr.push({ files: titleTerms[word], score: Scorer.partialTitle });
+        });
+      }
+
+      // no match but word was a required one
+      if (arr.every((record) => record.files === undefined)) return;
+
+      // found search word in contents
+      arr.forEach((record) => {
+        if (record.files === undefined) return;
+
+        let recordFiles = record.files;
+        if (recordFiles.length === undefined) recordFiles = [recordFiles];
+        files.push(...recordFiles);
+
+        // set score for the word in each file
+        recordFiles.forEach((file) => {
+          if (!scoreMap.has(file)) scoreMap.set(file, {});
+          scoreMap.get(file)[word] = record.score;
+        });
+      });
+
+      // create the mapping
+      files.forEach((file) => {
+        if (fileMap.has(file) && fileMap.get(file).indexOf(word) === -1)
+          fileMap.get(file).push(word);
+        else fileMap.set(file, [word]);
+      });
+    });
+
+    // now check if the files don't contain excluded terms
+    const results = [];
+    for (const [file, wordList] of fileMap) {
+      // check if all requirements are matched
+
+      // as search terms with length < 3 are discarded
+      const filteredTermCount = [...searchTerms].filter(
+        (term) => term.length > 2
+      ).length;
+      if (
+        wordList.length !== searchTerms.size &&
+        wordList.length !== filteredTermCount
+      )
+        continue;
+
+      // ensure that none of the excluded terms is in the search result
+      if (
+        [...excludedTerms].some(
+          (term) =>
+            terms[term] === file ||
+            titleTerms[term] === file ||
+            (terms[term] || []).includes(file) ||
+            (titleTerms[term] || []).includes(file)
+        )
+      )
+        break;
+
+      // select one (max) score for the file.
+      const score = Math.max(...wordList.map((w) => scoreMap.get(file)[w]));
+      // add result to the result list
+      results.push([
+        docNames[file],
+        titles[file],
+        "",
+        null,
+        score,
+        filenames[file],
+      ]);
+    }
+    return results;
+  },
+
+  /**
+   * helper function to return a node containing the
+   * search summary for a given text. keywords is a list
+   * of stemmed words, highlightWords is the list of normal, unstemmed
+   * words. the first one is used to find the occurrence, the
+   * latter for highlighting it.
+   */
+  makeSearchSummary: (htmlText, keywords, highlightWords) => {
+    const text = Search.htmlToText(htmlText).toLowerCase();
+    if (text === "") return null;
+
+    const actualStartPosition = [...keywords]
+      .map((k) => text.indexOf(k.toLowerCase()))
+      .filter((i) => i > -1)
+      .slice(-1)[0];
+    const startWithContext = Math.max(actualStartPosition - 120, 0);
+
+    const top = startWithContext === 0 ? "" : "...";
+    const tail = startWithContext + 240 < text.length ? "..." : "";
+
+    let summary = document.createElement("div");
+    summary.classList.add("context");
+    summary.innerText = top + text.substr(startWithContext, 240).trim() + tail;
+
+    highlightWords.forEach((highlightWord) =>
+      _highlightText(summary, highlightWord, "highlighted")
+    );
+
+    return summary;
+  },
+};
+
+_ready(Search.init);
diff --git a/docs/build/html/_static/underscore-1.13.1.js b/docs/build/html/_static/underscore-1.13.1.js
new file mode 100644
index 000000000..ffd77af96
--- /dev/null
+++ b/docs/build/html/_static/underscore-1.13.1.js
@@ -0,0 +1,2042 @@
+(function (global, factory) {
+  typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
+  typeof define === 'function' && define.amd ? define('underscore', factory) :
+  (global = typeof globalThis !== 'undefined' ? globalThis : global || self, (function () {
+    var current = global._;
+    var exports = global._ = factory();
+    exports.noConflict = function () { global._ = current; return exports; };
+  }()));
+}(this, (function () {
+  //     Underscore.js 1.13.1
+  //     https://underscorejs.org
+  //     (c) 2009-2021 Jeremy Ashkenas, Julian Gonggrijp, and DocumentCloud and Investigative Reporters & Editors
+  //     Underscore may be freely distributed under the MIT license.
+
+  // Current version.
+  var VERSION = '1.13.1';
+
+  // Establish the root object, `window` (`self`) in the browser, `global`
+  // on the server, or `this` in some virtual machines. We use `self`
+  // instead of `window` for `WebWorker` support.
+  var root = typeof self == 'object' && self.self === self && self ||
+            typeof global == 'object' && global.global === global && global ||
+            Function('return this')() ||
+            {};
+
+  // Save bytes in the minified (but not gzipped) version:
+  var ArrayProto = Array.prototype, ObjProto = Object.prototype;
+  var SymbolProto = typeof Symbol !== 'undefined' ? Symbol.prototype : null;
+
+  // Create quick reference variables for speed access to core prototypes.
+  var push = ArrayProto.push,
+      slice = ArrayProto.slice,
+      toString = ObjProto.toString,
+      hasOwnProperty = ObjProto.hasOwnProperty;
+
+  // Modern feature detection.
+  var supportsArrayBuffer = typeof ArrayBuffer !== 'undefined',
+      supportsDataView = typeof DataView !== 'undefined';
+
+  // All **ECMAScript 5+** native function implementations that we hope to use
+  // are declared here.
+  var nativeIsArray = Array.isArray,
+      nativeKeys = Object.keys,
+      nativeCreate = Object.create,
+      nativeIsView = supportsArrayBuffer && ArrayBuffer.isView;
+
+  // Create references to these builtin functions because we override them.
+  var _isNaN = isNaN,
+      _isFinite = isFinite;
+
+  // Keys in IE < 9 that won't be iterated by `for key in ...` and thus missed.
+  var hasEnumBug = !{toString: null}.propertyIsEnumerable('toString');
+  var nonEnumerableProps = ['valueOf', 'isPrototypeOf', 'toString',
+    'propertyIsEnumerable', 'hasOwnProperty', 'toLocaleString'];
+
+  // The largest integer that can be represented exactly.
+  var MAX_ARRAY_INDEX = Math.pow(2, 53) - 1;
+
+  // Some functions take a variable number of arguments, or a few expected
+  // arguments at the beginning and then a variable number of values to operate
+  // on. This helper accumulates all remaining arguments past the function’s
+  // argument length (or an explicit `startIndex`), into an array that becomes
+  // the last argument. Similar to ES6’s "rest parameter".
+  function restArguments(func, startIndex) {
+    startIndex = startIndex == null ? func.length - 1 : +startIndex;
+    return function() {
+      var length = Math.max(arguments.length - startIndex, 0),
+          rest = Array(length),
+          index = 0;
+      for (; index < length; index++) {
+        rest[index] = arguments[index + startIndex];
+      }
+      switch (startIndex) {
+        case 0: return func.call(this, rest);
+        case 1: return func.call(this, arguments[0], rest);
+        case 2: return func.call(this, arguments[0], arguments[1], rest);
+      }
+      var args = Array(startIndex + 1);
+      for (index = 0; index < startIndex; index++) {
+        args[index] = arguments[index];
+      }
+      args[startIndex] = rest;
+      return func.apply(this, args);
+    };
+  }
+
+  // Is a given variable an object?
+  function isObject(obj) {
+    var type = typeof obj;
+    return type === 'function' || type === 'object' && !!obj;
+  }
+
+  // Is a given value equal to null?
+  function isNull(obj) {
+    return obj === null;
+  }
+
+  // Is a given variable undefined?
+  function isUndefined(obj) {
+    return obj === void 0;
+  }
+
+  // Is a given value a boolean?
+  function isBoolean(obj) {
+    return obj === true || obj === false || toString.call(obj) === '[object Boolean]';
+  }
+
+  // Is a given value a DOM element?
+  function isElement(obj) {
+    return !!(obj && obj.nodeType === 1);
+  }
+
+  // Internal function for creating a `toString`-based type tester.
+  function tagTester(name) {
+    var tag = '[object ' + name + ']';
+    return function(obj) {
+      return toString.call(obj) === tag;
+    };
+  }
+
+  var isString = tagTester('String');
+
+  var isNumber = tagTester('Number');
+
+  var isDate = tagTester('Date');
+
+  var isRegExp = tagTester('RegExp');
+
+  var isError = tagTester('Error');
+
+  var isSymbol = tagTester('Symbol');
+
+  var isArrayBuffer = tagTester('ArrayBuffer');
+
+  var isFunction = tagTester('Function');
+
+  // Optimize `isFunction` if appropriate. Work around some `typeof` bugs in old
+  // v8, IE 11 (#1621), Safari 8 (#1929), and PhantomJS (#2236).
+  var nodelist = root.document && root.document.childNodes;
+  if (typeof /./ != 'function' && typeof Int8Array != 'object' && typeof nodelist != 'function') {
+    isFunction = function(obj) {
+      return typeof obj == 'function' || false;
+    };
+  }
+
+  var isFunction$1 = isFunction;
+
+  var hasObjectTag = tagTester('Object');
+
+  // In IE 10 - Edge 13, `DataView` has string tag `'[object Object]'`.
+  // In IE 11, the most common among them, this problem also applies to
+  // `Map`, `WeakMap` and `Set`.
+  var hasStringTagBug = (
+        supportsDataView && hasObjectTag(new DataView(new ArrayBuffer(8)))
+      ),
+      isIE11 = (typeof Map !== 'undefined' && hasObjectTag(new Map));
+
+  var isDataView = tagTester('DataView');
+
+  // In IE 10 - Edge 13, we need a different heuristic
+  // to determine whether an object is a `DataView`.
+  function ie10IsDataView(obj) {
+    return obj != null && isFunction$1(obj.getInt8) && isArrayBuffer(obj.buffer);
+  }
+
+  var isDataView$1 = (hasStringTagBug ? ie10IsDataView : isDataView);
+
+  // Is a given value an array?
+  // Delegates to ECMA5's native `Array.isArray`.
+  var isArray = nativeIsArray || tagTester('Array');
+
+  // Internal function to check whether `key` is an own property name of `obj`.
+  function has$1(obj, key) {
+    return obj != null && hasOwnProperty.call(obj, key);
+  }
+
+  var isArguments = tagTester('Arguments');
+
+  // Define a fallback version of the method in browsers (ahem, IE < 9), where
+  // there isn't any inspectable "Arguments" type.
+  (function() {
+    if (!isArguments(arguments)) {
+      isArguments = function(obj) {
+        return has$1(obj, 'callee');
+      };
+    }
+  }());
+
+  var isArguments$1 = isArguments;
+
+  // Is a given object a finite number?
+  function isFinite$1(obj) {
+    return !isSymbol(obj) && _isFinite(obj) && !isNaN(parseFloat(obj));
+  }
+
+  // Is the given value `NaN`?
+  function isNaN$1(obj) {
+    return isNumber(obj) && _isNaN(obj);
+  }
+
+  // Predicate-generating function. Often useful outside of Underscore.
+  function constant(value) {
+    return function() {
+      return value;
+    };
+  }
+
+  // Common internal logic for `isArrayLike` and `isBufferLike`.
+  function createSizePropertyCheck(getSizeProperty) {
+    return function(collection) {
+      var sizeProperty = getSizeProperty(collection);
+      return typeof sizeProperty == 'number' && sizeProperty >= 0 && sizeProperty <= MAX_ARRAY_INDEX;
+    }
+  }
+
+  // Internal helper to generate a function to obtain property `key` from `obj`.
+  function shallowProperty(key) {
+    return function(obj) {
+      return obj == null ? void 0 : obj[key];
+    };
+  }
+
+  // Internal helper to obtain the `byteLength` property of an object.
+  var getByteLength = shallowProperty('byteLength');
+
+  // Internal helper to determine whether we should spend extensive checks against
+  // `ArrayBuffer` et al.
+  var isBufferLike = createSizePropertyCheck(getByteLength);
+
+  // Is a given value a typed array?
+  var typedArrayPattern = /\[object ((I|Ui)nt(8|16|32)|Float(32|64)|Uint8Clamped|Big(I|Ui)nt64)Array\]/;
+  function isTypedArray(obj) {
+    // `ArrayBuffer.isView` is the most future-proof, so use it when available.
+    // Otherwise, fall back on the above regular expression.
+    return nativeIsView ? (nativeIsView(obj) && !isDataView$1(obj)) :
+                  isBufferLike(obj) && typedArrayPattern.test(toString.call(obj));
+  }
+
+  var isTypedArray$1 = supportsArrayBuffer ? isTypedArray : constant(false);
+
+  // Internal helper to obtain the `length` property of an object.
+  var getLength = shallowProperty('length');
+
+  // Internal helper to create a simple lookup structure.
+  // `collectNonEnumProps` used to depend on `_.contains`, but this led to
+  // circular imports. `emulatedSet` is a one-off solution that only works for
+  // arrays of strings.
+  function emulatedSet(keys) {
+    var hash = {};
+    for (var l = keys.length, i = 0; i < l; ++i) hash[keys[i]] = true;
+    return {
+      contains: function(key) { return hash[key]; },
+      push: function(key) {
+        hash[key] = true;
+        return keys.push(key);
+      }
+    };
+  }
+
+  // Internal helper. Checks `keys` for the presence of keys in IE < 9 that won't
+  // be iterated by `for key in ...` and thus missed. Extends `keys` in place if
+  // needed.
+  function collectNonEnumProps(obj, keys) {
+    keys = emulatedSet(keys);
+    var nonEnumIdx = nonEnumerableProps.length;
+    var constructor = obj.constructor;
+    var proto = isFunction$1(constructor) && constructor.prototype || ObjProto;
+
+    // Constructor is a special case.
+    var prop = 'constructor';
+    if (has$1(obj, prop) && !keys.contains(prop)) keys.push(prop);
+
+    while (nonEnumIdx--) {
+      prop = nonEnumerableProps[nonEnumIdx];
+      if (prop in obj && obj[prop] !== proto[prop] && !keys.contains(prop)) {
+        keys.push(prop);
+      }
+    }
+  }
+
+  // Retrieve the names of an object's own properties.
+  // Delegates to **ECMAScript 5**'s native `Object.keys`.
+  function keys(obj) {
+    if (!isObject(obj)) return [];
+    if (nativeKeys) return nativeKeys(obj);
+    var keys = [];
+    for (var key in obj) if (has$1(obj, key)) keys.push(key);
+    // Ahem, IE < 9.
+    if (hasEnumBug) collectNonEnumProps(obj, keys);
+    return keys;
+  }
+
+  // Is a given array, string, or object empty?
+  // An "empty" object has no enumerable own-properties.
+  function isEmpty(obj) {
+    if (obj == null) return true;
+    // Skip the more expensive `toString`-based type checks if `obj` has no
+    // `.length`.
+    var length = getLength(obj);
+    if (typeof length == 'number' && (
+      isArray(obj) || isString(obj) || isArguments$1(obj)
+    )) return length === 0;
+    return getLength(keys(obj)) === 0;
+  }
+
+  // Returns whether an object has a given set of `key:value` pairs.
+  function isMatch(object, attrs) {
+    var _keys = keys(attrs), length = _keys.length;
+    if (object == null) return !length;
+    var obj = Object(object);
+    for (var i = 0; i < length; i++) {
+      var key = _keys[i];
+      if (attrs[key] !== obj[key] || !(key in obj)) return false;
+    }
+    return true;
+  }
+
+  // If Underscore is called as a function, it returns a wrapped object that can
+  // be used OO-style. This wrapper holds altered versions of all functions added
+  // through `_.mixin`. Wrapped objects may be chained.
+  function _$1(obj) {
+    if (obj instanceof _$1) return obj;
+    if (!(this instanceof _$1)) return new _$1(obj);
+    this._wrapped = obj;
+  }
+
+  _$1.VERSION = VERSION;
+
+  // Extracts the result from a wrapped and chained object.
+  _$1.prototype.value = function() {
+    return this._wrapped;
+  };
+
+  // Provide unwrapping proxies for some methods used in engine operations
+  // such as arithmetic and JSON stringification.
+  _$1.prototype.valueOf = _$1.prototype.toJSON = _$1.prototype.value;
+
+  _$1.prototype.toString = function() {
+    return String(this._wrapped);
+  };
+
+  // Internal function to wrap or shallow-copy an ArrayBuffer,
+  // typed array or DataView to a new view, reusing the buffer.
+  function toBufferView(bufferSource) {
+    return new Uint8Array(
+      bufferSource.buffer || bufferSource,
+      bufferSource.byteOffset || 0,
+      getByteLength(bufferSource)
+    );
+  }
+
+  // We use this string twice, so give it a name for minification.
+  var tagDataView = '[object DataView]';
+
+  // Internal recursive comparison function for `_.isEqual`.
+  function eq(a, b, aStack, bStack) {
+    // Identical objects are equal. `0 === -0`, but they aren't identical.
+    // See the [Harmony `egal` proposal](https://wiki.ecmascript.org/doku.php?id=harmony:egal).
+    if (a === b) return a !== 0 || 1 / a === 1 / b;
+    // `null` or `undefined` only equal to itself (strict comparison).
+    if (a == null || b == null) return false;
+    // `NaN`s are equivalent, but non-reflexive.
+    if (a !== a) return b !== b;
+    // Exhaust primitive checks
+    var type = typeof a;
+    if (type !== 'function' && type !== 'object' && typeof b != 'object') return false;
+    return deepEq(a, b, aStack, bStack);
+  }
+
+  // Internal recursive comparison function for `_.isEqual`.
+  function deepEq(a, b, aStack, bStack) {
+    // Unwrap any wrapped objects.
+    if (a instanceof _$1) a = a._wrapped;
+    if (b instanceof _$1) b = b._wrapped;
+    // Compare `[[Class]]` names.
+    var className = toString.call(a);
+    if (className !== toString.call(b)) return false;
+    // Work around a bug in IE 10 - Edge 13.
+    if (hasStringTagBug && className == '[object Object]' && isDataView$1(a)) {
+      if (!isDataView$1(b)) return false;
+      className = tagDataView;
+    }
+    switch (className) {
+      // These types are compared by value.
+      case '[object RegExp]':
+        // RegExps are coerced to strings for comparison (Note: '' + /a/i === '/a/i')
+      case '[object String]':
+        // Primitives and their corresponding object wrappers are equivalent; thus, `"5"` is
+        // equivalent to `new String("5")`.
+        return '' + a === '' + b;
+      case '[object Number]':
+        // `NaN`s are equivalent, but non-reflexive.
+        // Object(NaN) is equivalent to NaN.
+        if (+a !== +a) return +b !== +b;
+        // An `egal` comparison is performed for other numeric values.
+        return +a === 0 ? 1 / +a === 1 / b : +a === +b;
+      case '[object Date]':
+      case '[object Boolean]':
+        // Coerce dates and booleans to numeric primitive values. Dates are compared by their
+        // millisecond representations. Note that invalid dates with millisecond representations
+        // of `NaN` are not equivalent.
+        return +a === +b;
+      case '[object Symbol]':
+        return SymbolProto.valueOf.call(a) === SymbolProto.valueOf.call(b);
+      case '[object ArrayBuffer]':
+      case tagDataView:
+        // Coerce to typed array so we can fall through.
+        return deepEq(toBufferView(a), toBufferView(b), aStack, bStack);
+    }
+
+    var areArrays = className === '[object Array]';
+    if (!areArrays && isTypedArray$1(a)) {
+        var byteLength = getByteLength(a);
+        if (byteLength !== getByteLength(b)) return false;
+        if (a.buffer === b.buffer && a.byteOffset === b.byteOffset) return true;
+        areArrays = true;
+    }
+    if (!areArrays) {
+      if (typeof a != 'object' || typeof b != 'object') return false;
+
+      // Objects with different constructors are not equivalent, but `Object`s or `Array`s
+      // from different frames are.
+      var aCtor = a.constructor, bCtor = b.constructor;
+      if (aCtor !== bCtor && !(isFunction$1(aCtor) && aCtor instanceof aCtor &&
+                               isFunction$1(bCtor) && bCtor instanceof bCtor)
+                          && ('constructor' in a && 'constructor' in b)) {
+        return false;
+      }
+    }
+    // Assume equality for cyclic structures. The algorithm for detecting cyclic
+    // structures is adapted from ES 5.1 section 15.12.3, abstract operation `JO`.
+
+    // Initializing stack of traversed objects.
+    // It's done here since we only need them for objects and arrays comparison.
+    aStack = aStack || [];
+    bStack = bStack || [];
+    var length = aStack.length;
+    while (length--) {
+      // Linear search. Performance is inversely proportional to the number of
+      // unique nested structures.
+      if (aStack[length] === a) return bStack[length] === b;
+    }
+
+    // Add the first object to the stack of traversed objects.
+    aStack.push(a);
+    bStack.push(b);
+
+    // Recursively compare objects and arrays.
+    if (areArrays) {
+      // Compare array lengths to determine if a deep comparison is necessary.
+      length = a.length;
+      if (length !== b.length) return false;
+      // Deep compare the contents, ignoring non-numeric properties.
+      while (length--) {
+        if (!eq(a[length], b[length], aStack, bStack)) return false;
+      }
+    } else {
+      // Deep compare objects.
+      var _keys = keys(a), key;
+      length = _keys.length;
+      // Ensure that both objects contain the same number of properties before comparing deep equality.
+      if (keys(b).length !== length) return false;
+      while (length--) {
+        // Deep compare each member
+        key = _keys[length];
+        if (!(has$1(b, key) && eq(a[key], b[key], aStack, bStack))) return false;
+      }
+    }
+    // Remove the first object from the stack of traversed objects.
+    aStack.pop();
+    bStack.pop();
+    return true;
+  }
+
+  // Perform a deep comparison to check if two objects are equal.
+  function isEqual(a, b) {
+    return eq(a, b);
+  }
+
+  // Retrieve all the enumerable property names of an object.
+  function allKeys(obj) {
+    if (!isObject(obj)) return [];
+    var keys = [];
+    for (var key in obj) keys.push(key);
+    // Ahem, IE < 9.
+    if (hasEnumBug) collectNonEnumProps(obj, keys);
+    return keys;
+  }
+
+  // Since the regular `Object.prototype.toString` type tests don't work for
+  // some types in IE 11, we use a fingerprinting heuristic instead, based
+  // on the methods. It's not great, but it's the best we got.
+  // The fingerprint method lists are defined below.
+  function ie11fingerprint(methods) {
+    var length = getLength(methods);
+    return function(obj) {
+      if (obj == null) return false;
+      // `Map`, `WeakMap` and `Set` have no enumerable keys.
+      var keys = allKeys(obj);
+      if (getLength(keys)) return false;
+      for (var i = 0; i < length; i++) {
+        if (!isFunction$1(obj[methods[i]])) return false;
+      }
+      // If we are testing against `WeakMap`, we need to ensure that
+      // `obj` doesn't have a `forEach` method in order to distinguish
+      // it from a regular `Map`.
+      return methods !== weakMapMethods || !isFunction$1(obj[forEachName]);
+    };
+  }
+
+  // In the interest of compact minification, we write
+  // each string in the fingerprints only once.
+  var forEachName = 'forEach',
+      hasName = 'has',
+      commonInit = ['clear', 'delete'],
+      mapTail = ['get', hasName, 'set'];
+
+  // `Map`, `WeakMap` and `Set` each have slightly different
+  // combinations of the above sublists.
+  var mapMethods = commonInit.concat(forEachName, mapTail),
+      weakMapMethods = commonInit.concat(mapTail),
+      setMethods = ['add'].concat(commonInit, forEachName, hasName);
+
+  var isMap = isIE11 ? ie11fingerprint(mapMethods) : tagTester('Map');
+
+  var isWeakMap = isIE11 ? ie11fingerprint(weakMapMethods) : tagTester('WeakMap');
+
+  var isSet = isIE11 ? ie11fingerprint(setMethods) : tagTester('Set');
+
+  var isWeakSet = tagTester('WeakSet');
+
+  // Retrieve the values of an object's properties.
+  function values(obj) {
+    var _keys = keys(obj);
+    var length = _keys.length;
+    var values = Array(length);
+    for (var i = 0; i < length; i++) {
+      values[i] = obj[_keys[i]];
+    }
+    return values;
+  }
+
+  // Convert an object into a list of `[key, value]` pairs.
+  // The opposite of `_.object` with one argument.
+  function pairs(obj) {
+    var _keys = keys(obj);
+    var length = _keys.length;
+    var pairs = Array(length);
+    for (var i = 0; i < length; i++) {
+      pairs[i] = [_keys[i], obj[_keys[i]]];
+    }
+    return pairs;
+  }
+
+  // Invert the keys and values of an object. The values must be serializable.
+  function invert(obj) {
+    var result = {};
+    var _keys = keys(obj);
+    for (var i = 0, length = _keys.length; i < length; i++) {
+      result[obj[_keys[i]]] = _keys[i];
+    }
+    return result;
+  }
+
+  // Return a sorted list of the function names available on the object.
+  function functions(obj) {
+    var names = [];
+    for (var key in obj) {
+      if (isFunction$1(obj[key])) names.push(key);
+    }
+    return names.sort();
+  }
+
+  // An internal function for creating assigner functions.
+  function createAssigner(keysFunc, defaults) {
+    return function(obj) {
+      var length = arguments.length;
+      if (defaults) obj = Object(obj);
+      if (length < 2 || obj == null) return obj;
+      for (var index = 1; index < length; index++) {
+        var source = arguments[index],
+            keys = keysFunc(source),
+            l = keys.length;
+        for (var i = 0; i < l; i++) {
+          var key = keys[i];
+          if (!defaults || obj[key] === void 0) obj[key] = source[key];
+        }
+      }
+      return obj;
+    };
+  }
+
+  // Extend a given object with all the properties in passed-in object(s).
+  var extend = createAssigner(allKeys);
+
+  // Assigns a given object with all the own properties in the passed-in
+  // object(s).
+  // (https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Object/assign)
+  var extendOwn = createAssigner(keys);
+
+  // Fill in a given object with default properties.
+  var defaults = createAssigner(allKeys, true);
+
+  // Create a naked function reference for surrogate-prototype-swapping.
+  function ctor() {
+    return function(){};
+  }
+
+  // An internal function for creating a new object that inherits from another.
+  function baseCreate(prototype) {
+    if (!isObject(prototype)) return {};
+    if (nativeCreate) return nativeCreate(prototype);
+    var Ctor = ctor();
+    Ctor.prototype = prototype;
+    var result = new Ctor;
+    Ctor.prototype = null;
+    return result;
+  }
+
+  // Creates an object that inherits from the given prototype object.
+  // If additional properties are provided then they will be added to the
+  // created object.
+  function create(prototype, props) {
+    var result = baseCreate(prototype);
+    if (props) extendOwn(result, props);
+    return result;
+  }
+
+  // Create a (shallow-cloned) duplicate of an object.
+  function clone(obj) {
+    if (!isObject(obj)) return obj;
+    return isArray(obj) ? obj.slice() : extend({}, obj);
+  }
+
+  // Invokes `interceptor` with the `obj` and then returns `obj`.
+  // The primary purpose of this method is to "tap into" a method chain, in
+  // order to perform operations on intermediate results within the chain.
+  function tap(obj, interceptor) {
+    interceptor(obj);
+    return obj;
+  }
+
+  // Normalize a (deep) property `path` to array.
+  // Like `_.iteratee`, this function can be customized.
+  function toPath$1(path) {
+    return isArray(path) ? path : [path];
+  }
+  _$1.toPath = toPath$1;
+
+  // Internal wrapper for `_.toPath` to enable minification.
+  // Similar to `cb` for `_.iteratee`.
+  function toPath(path) {
+    return _$1.toPath(path);
+  }
+
+  // Internal function to obtain a nested property in `obj` along `path`.
+  function deepGet(obj, path) {
+    var length = path.length;
+    for (var i = 0; i < length; i++) {
+      if (obj == null) return void 0;
+      obj = obj[path[i]];
+    }
+    return length ? obj : void 0;
+  }
+
+  // Get the value of the (deep) property on `path` from `object`.
+  // If any property in `path` does not exist or if the value is
+  // `undefined`, return `defaultValue` instead.
+  // The `path` is normalized through `_.toPath`.
+  function get(object, path, defaultValue) {
+    var value = deepGet(object, toPath(path));
+    return isUndefined(value) ? defaultValue : value;
+  }
+
+  // Shortcut function for checking if an object has a given property directly on
+  // itself (in other words, not on a prototype). Unlike the internal `has`
+  // function, this public version can also traverse nested properties.
+  function has(obj, path) {
+    path = toPath(path);
+    var length = path.length;
+    for (var i = 0; i < length; i++) {
+      var key = path[i];
+      if (!has$1(obj, key)) return false;
+      obj = obj[key];
+    }
+    return !!length;
+  }
+
+  // Keep the identity function around for default iteratees.
+  function identity(value) {
+    return value;
+  }
+
+  // Returns a predicate for checking whether an object has a given set of
+  // `key:value` pairs.
+  function matcher(attrs) {
+    attrs = extendOwn({}, attrs);
+    return function(obj) {
+      return isMatch(obj, attrs);
+    };
+  }
+
+  // Creates a function that, when passed an object, will traverse that object’s
+  // properties down the given `path`, specified as an array of keys or indices.
+  function property(path) {
+    path = toPath(path);
+    return function(obj) {
+      return deepGet(obj, path);
+    };
+  }
+
+  // Internal function that returns an efficient (for current engines) version
+  // of the passed-in callback, to be repeatedly applied in other Underscore
+  // functions.
+  function optimizeCb(func, context, argCount) {
+    if (context === void 0) return func;
+    switch (argCount == null ? 3 : argCount) {
+      case 1: return function(value) {
+        return func.call(context, value);
+      };
+      // The 2-argument case is omitted because we’re not using it.
+      case 3: return function(value, index, collection) {
+        return func.call(context, value, index, collection);
+      };
+      case 4: return function(accumulator, value, index, collection) {
+        return func.call(context, accumulator, value, index, collection);
+      };
+    }
+    return function() {
+      return func.apply(context, arguments);
+    };
+  }
+
+  // An internal function to generate callbacks that can be applied to each
+  // element in a collection, returning the desired result — either `_.identity`,
+  // an arbitrary callback, a property matcher, or a property accessor.
+  function baseIteratee(value, context, argCount) {
+    if (value == null) return identity;
+    if (isFunction$1(value)) return optimizeCb(value, context, argCount);
+    if (isObject(value) && !isArray(value)) return matcher(value);
+    return property(value);
+  }
+
+  // External wrapper for our callback generator. Users may customize
+  // `_.iteratee` if they want additional predicate/iteratee shorthand styles.
+  // This abstraction hides the internal-only `argCount` argument.
+  function iteratee(value, context) {
+    return baseIteratee(value, context, Infinity);
+  }
+  _$1.iteratee = iteratee;
+
+  // The function we call internally to generate a callback. It invokes
+  // `_.iteratee` if overridden, otherwise `baseIteratee`.
+  function cb(value, context, argCount) {
+    if (_$1.iteratee !== iteratee) return _$1.iteratee(value, context);
+    return baseIteratee(value, context, argCount);
+  }
+
+  // Returns the results of applying the `iteratee` to each element of `obj`.
+  // In contrast to `_.map` it returns an object.
+  function mapObject(obj, iteratee, context) {
+    iteratee = cb(iteratee, context);
+    var _keys = keys(obj),
+        length = _keys.length,
+        results = {};
+    for (var index = 0; index < length; index++) {
+      var currentKey = _keys[index];
+      results[currentKey] = iteratee(obj[currentKey], currentKey, obj);
+    }
+    return results;
+  }
+
+  // Predicate-generating function. Often useful outside of Underscore.
+  function noop(){}
+
+  // Generates a function for a given object that returns a given property.
+  function propertyOf(obj) {
+    if (obj == null) return noop;
+    return function(path) {
+      return get(obj, path);
+    };
+  }
+
+  // Run a function **n** times.
+  function times(n, iteratee, context) {
+    var accum = Array(Math.max(0, n));
+    iteratee = optimizeCb(iteratee, context, 1);
+    for (var i = 0; i < n; i++) accum[i] = iteratee(i);
+    return accum;
+  }
+
+  // Return a random integer between `min` and `max` (inclusive).
+  function random(min, max) {
+    if (max == null) {
+      max = min;
+      min = 0;
+    }
+    return min + Math.floor(Math.random() * (max - min + 1));
+  }
+
+  // A (possibly faster) way to get the current timestamp as an integer.
+  var now = Date.now || function() {
+    return new Date().getTime();
+  };
+
+  // Internal helper to generate functions for escaping and unescaping strings
+  // to/from HTML interpolation.
+  function createEscaper(map) {
+    var escaper = function(match) {
+      return map[match];
+    };
+    // Regexes for identifying a key that needs to be escaped.
+    var source = '(?:' + keys(map).join('|') + ')';
+    var testRegexp = RegExp(source);
+    var replaceRegexp = RegExp(source, 'g');
+    return function(string) {
+      string = string == null ? '' : '' + string;
+      return testRegexp.test(string) ? string.replace(replaceRegexp, escaper) : string;
+    };
+  }
+
+  // Internal list of HTML entities for escaping.
+  var escapeMap = {
+    '&': '&amp;',
+    '<': '&lt;',
+    '>': '&gt;',
+    '"': '&quot;',
+    "'": '&#x27;',
+    '`': '&#x60;'
+  };
+
+  // Function for escaping strings to HTML interpolation.
+  var _escape = createEscaper(escapeMap);
+
+  // Internal list of HTML entities for unescaping.
+  var unescapeMap = invert(escapeMap);
+
+  // Function for unescaping strings from HTML interpolation.
+  var _unescape = createEscaper(unescapeMap);
+
+  // By default, Underscore uses ERB-style template delimiters. Change the
+  // following template settings to use alternative delimiters.
+  var templateSettings = _$1.templateSettings = {
+    evaluate: /<%([\s\S]+?)%>/g,
+    interpolate: /<%=([\s\S]+?)%>/g,
+    escape: /<%-([\s\S]+?)%>/g
+  };
+
+  // When customizing `_.templateSettings`, if you don't want to define an
+  // interpolation, evaluation or escaping regex, we need one that is
+  // guaranteed not to match.
+  var noMatch = /(.)^/;
+
+  // Certain characters need to be escaped so that they can be put into a
+  // string literal.
+  var escapes = {
+    "'": "'",
+    '\\': '\\',
+    '\r': 'r',
+    '\n': 'n',
+    '\u2028': 'u2028',
+    '\u2029': 'u2029'
+  };
+
+  var escapeRegExp = /\\|'|\r|\n|\u2028|\u2029/g;
+
+  function escapeChar(match) {
+    return '\\' + escapes[match];
+  }
+
+  // In order to prevent third-party code injection through
+  // `_.templateSettings.variable`, we test it against the following regular
+  // expression. It is intentionally a bit more liberal than just matching valid
+  // identifiers, but still prevents possible loopholes through defaults or
+  // destructuring assignment.
+  var bareIdentifier = /^\s*(\w|\$)+\s*$/;
+
+  // JavaScript micro-templating, similar to John Resig's implementation.
+  // Underscore templating handles arbitrary delimiters, preserves whitespace,
+  // and correctly escapes quotes within interpolated code.
+  // NB: `oldSettings` only exists for backwards compatibility.
+  function template(text, settings, oldSettings) {
+    if (!settings && oldSettings) settings = oldSettings;
+    settings = defaults({}, settings, _$1.templateSettings);
+
+    // Combine delimiters into one regular expression via alternation.
+    var matcher = RegExp([
+      (settings.escape || noMatch).source,
+      (settings.interpolate || noMatch).source,
+      (settings.evaluate || noMatch).source
+    ].join('|') + '|$', 'g');
+
+    // Compile the template source, escaping string literals appropriately.
+    var index = 0;
+    var source = "__p+='";
+    text.replace(matcher, function(match, escape, interpolate, evaluate, offset) {
+      source += text.slice(index, offset).replace(escapeRegExp, escapeChar);
+      index = offset + match.length;
+
+      if (escape) {
+        source += "'+\n((__t=(" + escape + "))==null?'':_.escape(__t))+\n'";
+      } else if (interpolate) {
+        source += "'+\n((__t=(" + interpolate + "))==null?'':__t)+\n'";
+      } else if (evaluate) {
+        source += "';\n" + evaluate + "\n__p+='";
+      }
+
+      // Adobe VMs need the match returned to produce the correct offset.
+      return match;
+    });
+    source += "';\n";
+
+    var argument = settings.variable;
+    if (argument) {
+      // Insure against third-party code injection. (CVE-2021-23358)
+      if (!bareIdentifier.test(argument)) throw new Error(
+        'variable is not a bare identifier: ' + argument
+      );
+    } else {
+      // If a variable is not specified, place data values in local scope.
+      source = 'with(obj||{}){\n' + source + '}\n';
+      argument = 'obj';
+    }
+
+    source = "var __t,__p='',__j=Array.prototype.join," +
+      "print=function(){__p+=__j.call(arguments,'');};\n" +
+      source + 'return __p;\n';
+
+    var render;
+    try {
+      render = new Function(argument, '_', source);
+    } catch (e) {
+      e.source = source;
+      throw e;
+    }
+
+    var template = function(data) {
+      return render.call(this, data, _$1);
+    };
+
+    // Provide the compiled source as a convenience for precompilation.
+    template.source = 'function(' + argument + '){\n' + source + '}';
+
+    return template;
+  }
+
+  // Traverses the children of `obj` along `path`. If a child is a function, it
+  // is invoked with its parent as context. Returns the value of the final
+  // child, or `fallback` if any child is undefined.
+  function result(obj, path, fallback) {
+    path = toPath(path);
+    var length = path.length;
+    if (!length) {
+      return isFunction$1(fallback) ? fallback.call(obj) : fallback;
+    }
+    for (var i = 0; i < length; i++) {
+      var prop = obj == null ? void 0 : obj[path[i]];
+      if (prop === void 0) {
+        prop = fallback;
+        i = length; // Ensure we don't continue iterating.
+      }
+      obj = isFunction$1(prop) ? prop.call(obj) : prop;
+    }
+    return obj;
+  }
+
+  // Generate a unique integer id (unique within the entire client session).
+  // Useful for temporary DOM ids.
+  var idCounter = 0;
+  function uniqueId(prefix) {
+    var id = ++idCounter + '';
+    return prefix ? prefix + id : id;
+  }
+
+  // Start chaining a wrapped Underscore object.
+  function chain(obj) {
+    var instance = _$1(obj);
+    instance._chain = true;
+    return instance;
+  }
+
+  // Internal function to execute `sourceFunc` bound to `context` with optional
+  // `args`. Determines whether to execute a function as a constructor or as a
+  // normal function.
+  function executeBound(sourceFunc, boundFunc, context, callingContext, args) {
+    if (!(callingContext instanceof boundFunc)) return sourceFunc.apply(context, args);
+    var self = baseCreate(sourceFunc.prototype);
+    var result = sourceFunc.apply(self, args);
+    if (isObject(result)) return result;
+    return self;
+  }
+
+  // Partially apply a function by creating a version that has had some of its
+  // arguments pre-filled, without changing its dynamic `this` context. `_` acts
+  // as a placeholder by default, allowing any combination of arguments to be
+  // pre-filled. Set `_.partial.placeholder` for a custom placeholder argument.
+  var partial = restArguments(function(func, boundArgs) {
+    var placeholder = partial.placeholder;
+    var bound = function() {
+      var position = 0, length = boundArgs.length;
+      var args = Array(length);
+      for (var i = 0; i < length; i++) {
+        args[i] = boundArgs[i] === placeholder ? arguments[position++] : boundArgs[i];
+      }
+      while (position < arguments.length) args.push(arguments[position++]);
+      return executeBound(func, bound, this, this, args);
+    };
+    return bound;
+  });
+
+  partial.placeholder = _$1;
+
+  // Create a function bound to a given object (assigning `this`, and arguments,
+  // optionally).
+  var bind = restArguments(function(func, context, args) {
+    if (!isFunction$1(func)) throw new TypeError('Bind must be called on a function');
+    var bound = restArguments(function(callArgs) {
+      return executeBound(func, bound, context, this, args.concat(callArgs));
+    });
+    return bound;
+  });
+
+  // Internal helper for collection methods to determine whether a collection
+  // should be iterated as an array or as an object.
+  // Related: https://people.mozilla.org/~jorendorff/es6-draft.html#sec-tolength
+  // Avoids a very nasty iOS 8 JIT bug on ARM-64. #2094
+  var isArrayLike = createSizePropertyCheck(getLength);
+
+  // Internal implementation of a recursive `flatten` function.
+  function flatten$1(input, depth, strict, output) {
+    output = output || [];
+    if (!depth && depth !== 0) {
+      depth = Infinity;
+    } else if (depth <= 0) {
+      return output.concat(input);
+    }
+    var idx = output.length;
+    for (var i = 0, length = getLength(input); i < length; i++) {
+      var value = input[i];
+      if (isArrayLike(value) && (isArray(value) || isArguments$1(value))) {
+        // Flatten current level of array or arguments object.
+        if (depth > 1) {
+          flatten$1(value, depth - 1, strict, output);
+          idx = output.length;
+        } else {
+          var j = 0, len = value.length;
+          while (j < len) output[idx++] = value[j++];
+        }
+      } else if (!strict) {
+        output[idx++] = value;
+      }
+    }
+    return output;
+  }
+
+  // Bind a number of an object's methods to that object. Remaining arguments
+  // are the method names to be bound. Useful for ensuring that all callbacks
+  // defined on an object belong to it.
+  var bindAll = restArguments(function(obj, keys) {
+    keys = flatten$1(keys, false, false);
+    var index = keys.length;
+    if (index < 1) throw new Error('bindAll must be passed function names');
+    while (index--) {
+      var key = keys[index];
+      obj[key] = bind(obj[key], obj);
+    }
+    return obj;
+  });
+
+  // Memoize an expensive function by storing its results.
+  function memoize(func, hasher) {
+    var memoize = function(key) {
+      var cache = memoize.cache;
+      var address = '' + (hasher ? hasher.apply(this, arguments) : key);
+      if (!has$1(cache, address)) cache[address] = func.apply(this, arguments);
+      return cache[address];
+    };
+    memoize.cache = {};
+    return memoize;
+  }
+
+  // Delays a function for the given number of milliseconds, and then calls
+  // it with the arguments supplied.
+  var delay = restArguments(function(func, wait, args) {
+    return setTimeout(function() {
+      return func.apply(null, args);
+    }, wait);
+  });
+
+  // Defers a function, scheduling it to run after the current call stack has
+  // cleared.
+  var defer = partial(delay, _$1, 1);
+
+  // Returns a function, that, when invoked, will only be triggered at most once
+  // during a given window of time. Normally, the throttled function will run
+  // as much as it can, without ever going more than once per `wait` duration;
+  // but if you'd like to disable the execution on the leading edge, pass
+  // `{leading: false}`. To disable execution on the trailing edge, ditto.
+  function throttle(func, wait, options) {
+    var timeout, context, args, result;
+    var previous = 0;
+    if (!options) options = {};
+
+    var later = function() {
+      previous = options.leading === false ? 0 : now();
+      timeout = null;
+      result = func.apply(context, args);
+      if (!timeout) context = args = null;
+    };
+
+    var throttled = function() {
+      var _now = now();
+      if (!previous && options.leading === false) previous = _now;
+      var remaining = wait - (_now - previous);
+      context = this;
+      args = arguments;
+      if (remaining <= 0 || remaining > wait) {
+        if (timeout) {
+          clearTimeout(timeout);
+          timeout = null;
+        }
+        previous = _now;
+        result = func.apply(context, args);
+        if (!timeout) context = args = null;
+      } else if (!timeout && options.trailing !== false) {
+        timeout = setTimeout(later, remaining);
+      }
+      return result;
+    };
+
+    throttled.cancel = function() {
+      clearTimeout(timeout);
+      previous = 0;
+      timeout = context = args = null;
+    };
+
+    return throttled;
+  }
+
+  // When a sequence of calls of the returned function ends, the argument
+  // function is triggered. The end of a sequence is defined by the `wait`
+  // parameter. If `immediate` is passed, the argument function will be
+  // triggered at the beginning of the sequence instead of at the end.
+  function debounce(func, wait, immediate) {
+    var timeout, previous, args, result, context;
+
+    var later = function() {
+      var passed = now() - previous;
+      if (wait > passed) {
+        timeout = setTimeout(later, wait - passed);
+      } else {
+        timeout = null;
+        if (!immediate) result = func.apply(context, args);
+        // This check is needed because `func` can recursively invoke `debounced`.
+        if (!timeout) args = context = null;
+      }
+    };
+
+    var debounced = restArguments(function(_args) {
+      context = this;
+      args = _args;
+      previous = now();
+      if (!timeout) {
+        timeout = setTimeout(later, wait);
+        if (immediate) result = func.apply(context, args);
+      }
+      return result;
+    });
+
+    debounced.cancel = function() {
+      clearTimeout(timeout);
+      timeout = args = context = null;
+    };
+
+    return debounced;
+  }
+
+  // Returns the first function passed as an argument to the second,
+  // allowing you to adjust arguments, run code before and after, and
+  // conditionally execute the original function.
+  function wrap(func, wrapper) {
+    return partial(wrapper, func);
+  }
+
+  // Returns a negated version of the passed-in predicate.
+  function negate(predicate) {
+    return function() {
+      return !predicate.apply(this, arguments);
+    };
+  }
+
+  // Returns a function that is the composition of a list of functions, each
+  // consuming the return value of the function that follows.
+  function compose() {
+    var args = arguments;
+    var start = args.length - 1;
+    return function() {
+      var i = start;
+      var result = args[start].apply(this, arguments);
+      while (i--) result = args[i].call(this, result);
+      return result;
+    };
+  }
+
+  // Returns a function that will only be executed on and after the Nth call.
+  function after(times, func) {
+    return function() {
+      if (--times < 1) {
+        return func.apply(this, arguments);
+      }
+    };
+  }
+
+  // Returns a function that will only be executed up to (but not including) the
+  // Nth call.
+  function before(times, func) {
+    var memo;
+    return function() {
+      if (--times > 0) {
+        memo = func.apply(this, arguments);
+      }
+      if (times <= 1) func = null;
+      return memo;
+    };
+  }
+
+  // Returns a function that will be executed at most one time, no matter how
+  // often you call it. Useful for lazy initialization.
+  var once = partial(before, 2);
+
+  // Returns the first key on an object that passes a truth test.
+  function findKey(obj, predicate, context) {
+    predicate = cb(predicate, context);
+    var _keys = keys(obj), key;
+    for (var i = 0, length = _keys.length; i < length; i++) {
+      key = _keys[i];
+      if (predicate(obj[key], key, obj)) return key;
+    }
+  }
+
+  // Internal function to generate `_.findIndex` and `_.findLastIndex`.
+  function createPredicateIndexFinder(dir) {
+    return function(array, predicate, context) {
+      predicate = cb(predicate, context);
+      var length = getLength(array);
+      var index = dir > 0 ? 0 : length - 1;
+      for (; index >= 0 && index < length; index += dir) {
+        if (predicate(array[index], index, array)) return index;
+      }
+      return -1;
+    };
+  }
+
+  // Returns the first index on an array-like that passes a truth test.
+  var findIndex = createPredicateIndexFinder(1);
+
+  // Returns the last index on an array-like that passes a truth test.
+  var findLastIndex = createPredicateIndexFinder(-1);
+
+  // Use a comparator function to figure out the smallest index at which
+  // an object should be inserted so as to maintain order. Uses binary search.
+  function sortedIndex(array, obj, iteratee, context) {
+    iteratee = cb(iteratee, context, 1);
+    var value = iteratee(obj);
+    var low = 0, high = getLength(array);
+    while (low < high) {
+      var mid = Math.floor((low + high) / 2);
+      if (iteratee(array[mid]) < value) low = mid + 1; else high = mid;
+    }
+    return low;
+  }
+
+  // Internal function to generate the `_.indexOf` and `_.lastIndexOf` functions.
+  function createIndexFinder(dir, predicateFind, sortedIndex) {
+    return function(array, item, idx) {
+      var i = 0, length = getLength(array);
+      if (typeof idx == 'number') {
+        if (dir > 0) {
+          i = idx >= 0 ? idx : Math.max(idx + length, i);
+        } else {
+          length = idx >= 0 ? Math.min(idx + 1, length) : idx + length + 1;
+        }
+      } else if (sortedIndex && idx && length) {
+        idx = sortedIndex(array, item);
+        return array[idx] === item ? idx : -1;
+      }
+      if (item !== item) {
+        idx = predicateFind(slice.call(array, i, length), isNaN$1);
+        return idx >= 0 ? idx + i : -1;
+      }
+      for (idx = dir > 0 ? i : length - 1; idx >= 0 && idx < length; idx += dir) {
+        if (array[idx] === item) return idx;
+      }
+      return -1;
+    };
+  }
+
+  // Return the position of the first occurrence of an item in an array,
+  // or -1 if the item is not included in the array.
+  // If the array is large and already in sort order, pass `true`
+  // for **isSorted** to use binary search.
+  var indexOf = createIndexFinder(1, findIndex, sortedIndex);
+
+  // Return the position of the last occurrence of an item in an array,
+  // or -1 if the item is not included in the array.
+  var lastIndexOf = createIndexFinder(-1, findLastIndex);
+
+  // Return the first value which passes a truth test.
+  function find(obj, predicate, context) {
+    var keyFinder = isArrayLike(obj) ? findIndex : findKey;
+    var key = keyFinder(obj, predicate, context);
+    if (key !== void 0 && key !== -1) return obj[key];
+  }
+
+  // Convenience version of a common use case of `_.find`: getting the first
+  // object containing specific `key:value` pairs.
+  function findWhere(obj, attrs) {
+    return find(obj, matcher(attrs));
+  }
+
+  // The cornerstone for collection functions, an `each`
+  // implementation, aka `forEach`.
+  // Handles raw objects in addition to array-likes. Treats all
+  // sparse array-likes as if they were dense.
+  function each(obj, iteratee, context) {
+    iteratee = optimizeCb(iteratee, context);
+    var i, length;
+    if (isArrayLike(obj)) {
+      for (i = 0, length = obj.length; i < length; i++) {
+        iteratee(obj[i], i, obj);
+      }
+    } else {
+      var _keys = keys(obj);
+      for (i = 0, length = _keys.length; i < length; i++) {
+        iteratee(obj[_keys[i]], _keys[i], obj);
+      }
+    }
+    return obj;
+  }
+
+  // Return the results of applying the iteratee to each element.
+  function map(obj, iteratee, context) {
+    iteratee = cb(iteratee, context);
+    var _keys = !isArrayLike(obj) && keys(obj),
+        length = (_keys || obj).length,
+        results = Array(length);
+    for (var index = 0; index < length; index++) {
+      var currentKey = _keys ? _keys[index] : index;
+      results[index] = iteratee(obj[currentKey], currentKey, obj);
+    }
+    return results;
+  }
+
+  // Internal helper to create a reducing function, iterating left or right.
+  function createReduce(dir) {
+    // Wrap code that reassigns argument variables in a separate function than
+    // the one that accesses `arguments.length` to avoid a perf hit. (#1991)
+    var reducer = function(obj, iteratee, memo, initial) {
+      var _keys = !isArrayLike(obj) && keys(obj),
+          length = (_keys || obj).length,
+          index = dir > 0 ? 0 : length - 1;
+      if (!initial) {
+        memo = obj[_keys ? _keys[index] : index];
+        index += dir;
+      }
+      for (; index >= 0 && index < length; index += dir) {
+        var currentKey = _keys ? _keys[index] : index;
+        memo = iteratee(memo, obj[currentKey], currentKey, obj);
+      }
+      return memo;
+    };
+
+    return function(obj, iteratee, memo, context) {
+      var initial = arguments.length >= 3;
+      return reducer(obj, optimizeCb(iteratee, context, 4), memo, initial);
+    };
+  }
+
+  // **Reduce** builds up a single result from a list of values, aka `inject`,
+  // or `foldl`.
+  var reduce = createReduce(1);
+
+  // The right-associative version of reduce, also known as `foldr`.
+  var reduceRight = createReduce(-1);
+
+  // Return all the elements that pass a truth test.
+  function filter(obj, predicate, context) {
+    var results = [];
+    predicate = cb(predicate, context);
+    each(obj, function(value, index, list) {
+      if (predicate(value, index, list)) results.push(value);
+    });
+    return results;
+  }
+
+  // Return all the elements for which a truth test fails.
+  function reject(obj, predicate, context) {
+    return filter(obj, negate(cb(predicate)), context);
+  }
+
+  // Determine whether all of the elements pass a truth test.
+  function every(obj, predicate, context) {
+    predicate = cb(predicate, context);
+    var _keys = !isArrayLike(obj) && keys(obj),
+        length = (_keys || obj).length;
+    for (var index = 0; index < length; index++) {
+      var currentKey = _keys ? _keys[index] : index;
+      if (!predicate(obj[currentKey], currentKey, obj)) return false;
+    }
+    return true;
+  }
+
+  // Determine if at least one element in the object passes a truth test.
+  function some(obj, predicate, context) {
+    predicate = cb(predicate, context);
+    var _keys = !isArrayLike(obj) && keys(obj),
+        length = (_keys || obj).length;
+    for (var index = 0; index < length; index++) {
+      var currentKey = _keys ? _keys[index] : index;
+      if (predicate(obj[currentKey], currentKey, obj)) return true;
+    }
+    return false;
+  }
+
+  // Determine if the array or object contains a given item (using `===`).
+  function contains(obj, item, fromIndex, guard) {
+    if (!isArrayLike(obj)) obj = values(obj);
+    if (typeof fromIndex != 'number' || guard) fromIndex = 0;
+    return indexOf(obj, item, fromIndex) >= 0;
+  }
+
+  // Invoke a method (with arguments) on every item in a collection.
+  var invoke = restArguments(function(obj, path, args) {
+    var contextPath, func;
+    if (isFunction$1(path)) {
+      func = path;
+    } else {
+      path = toPath(path);
+      contextPath = path.slice(0, -1);
+      path = path[path.length - 1];
+    }
+    return map(obj, function(context) {
+      var method = func;
+      if (!method) {
+        if (contextPath && contextPath.length) {
+          context = deepGet(context, contextPath);
+        }
+        if (context == null) return void 0;
+        method = context[path];
+      }
+      return method == null ? method : method.apply(context, args);
+    });
+  });
+
+  // Convenience version of a common use case of `_.map`: fetching a property.
+  function pluck(obj, key) {
+    return map(obj, property(key));
+  }
+
+  // Convenience version of a common use case of `_.filter`: selecting only
+  // objects containing specific `key:value` pairs.
+  function where(obj, attrs) {
+    return filter(obj, matcher(attrs));
+  }
+
+  // Return the maximum element (or element-based computation).
+  function max(obj, iteratee, context) {
+    var result = -Infinity, lastComputed = -Infinity,
+        value, computed;
+    if (iteratee == null || typeof iteratee == 'number' && typeof obj[0] != 'object' && obj != null) {
+      obj = isArrayLike(obj) ? obj : values(obj);
+      for (var i = 0, length = obj.length; i < length; i++) {
+        value = obj[i];
+        if (value != null && value > result) {
+          result = value;
+        }
+      }
+    } else {
+      iteratee = cb(iteratee, context);
+      each(obj, function(v, index, list) {
+        computed = iteratee(v, index, list);
+        if (computed > lastComputed || computed === -Infinity && result === -Infinity) {
+          result = v;
+          lastComputed = computed;
+        }
+      });
+    }
+    return result;
+  }
+
+  // Return the minimum element (or element-based computation).
+  function min(obj, iteratee, context) {
+    var result = Infinity, lastComputed = Infinity,
+        value, computed;
+    if (iteratee == null || typeof iteratee == 'number' && typeof obj[0] != 'object' && obj != null) {
+      obj = isArrayLike(obj) ? obj : values(obj);
+      for (var i = 0, length = obj.length; i < length; i++) {
+        value = obj[i];
+        if (value != null && value < result) {
+          result = value;
+        }
+      }
+    } else {
+      iteratee = cb(iteratee, context);
+      each(obj, function(v, index, list) {
+        computed = iteratee(v, index, list);
+        if (computed < lastComputed || computed === Infinity && result === Infinity) {
+          result = v;
+          lastComputed = computed;
+        }
+      });
+    }
+    return result;
+  }
+
+  // Sample **n** random values from a collection using the modern version of the
+  // [Fisher-Yates shuffle](https://en.wikipedia.org/wiki/Fisher–Yates_shuffle).
+  // If **n** is not specified, returns a single random element.
+  // The internal `guard` argument allows it to work with `_.map`.
+  function sample(obj, n, guard) {
+    if (n == null || guard) {
+      if (!isArrayLike(obj)) obj = values(obj);
+      return obj[random(obj.length - 1)];
+    }
+    var sample = isArrayLike(obj) ? clone(obj) : values(obj);
+    var length = getLength(sample);
+    n = Math.max(Math.min(n, length), 0);
+    var last = length - 1;
+    for (var index = 0; index < n; index++) {
+      var rand = random(index, last);
+      var temp = sample[index];
+      sample[index] = sample[rand];
+      sample[rand] = temp;
+    }
+    return sample.slice(0, n);
+  }
+
+  // Shuffle a collection.
+  function shuffle(obj) {
+    return sample(obj, Infinity);
+  }
+
+  // Sort the object's values by a criterion produced by an iteratee.
+  function sortBy(obj, iteratee, context) {
+    var index = 0;
+    iteratee = cb(iteratee, context);
+    return pluck(map(obj, function(value, key, list) {
+      return {
+        value: value,
+        index: index++,
+        criteria: iteratee(value, key, list)
+      };
+    }).sort(function(left, right) {
+      var a = left.criteria;
+      var b = right.criteria;
+      if (a !== b) {
+        if (a > b || a === void 0) return 1;
+        if (a < b || b === void 0) return -1;
+      }
+      return left.index - right.index;
+    }), 'value');
+  }
+
+  // An internal function used for aggregate "group by" operations.
+  function group(behavior, partition) {
+    return function(obj, iteratee, context) {
+      var result = partition ? [[], []] : {};
+      iteratee = cb(iteratee, context);
+      each(obj, function(value, index) {
+        var key = iteratee(value, index, obj);
+        behavior(result, value, key);
+      });
+      return result;
+    };
+  }
+
+  // Groups the object's values by a criterion. Pass either a string attribute
+  // to group by, or a function that returns the criterion.
+  var groupBy = group(function(result, value, key) {
+    if (has$1(result, key)) result[key].push(value); else result[key] = [value];
+  });
+
+  // Indexes the object's values by a criterion, similar to `_.groupBy`, but for
+  // when you know that your index values will be unique.
+  var indexBy = group(function(result, value, key) {
+    result[key] = value;
+  });
+
+  // Counts instances of an object that group by a certain criterion. Pass
+  // either a string attribute to count by, or a function that returns the
+  // criterion.
+  var countBy = group(function(result, value, key) {
+    if (has$1(result, key)) result[key]++; else result[key] = 1;
+  });
+
+  // Split a collection into two arrays: one whose elements all pass the given
+  // truth test, and one whose elements all do not pass the truth test.
+  var partition = group(function(result, value, pass) {
+    result[pass ? 0 : 1].push(value);
+  }, true);
+
+  // Safely create a real, live array from anything iterable.
+  var reStrSymbol = /[^\ud800-\udfff]|[\ud800-\udbff][\udc00-\udfff]|[\ud800-\udfff]/g;
+  function toArray(obj) {
+    if (!obj) return [];
+    if (isArray(obj)) return slice.call(obj);
+    if (isString(obj)) {
+      // Keep surrogate pair characters together.
+      return obj.match(reStrSymbol);
+    }
+    if (isArrayLike(obj)) return map(obj, identity);
+    return values(obj);
+  }
+
+  // Return the number of elements in a collection.
+  function size(obj) {
+    if (obj == null) return 0;
+    return isArrayLike(obj) ? obj.length : keys(obj).length;
+  }
+
+  // Internal `_.pick` helper function to determine whether `key` is an enumerable
+  // property name of `obj`.
+  function keyInObj(value, key, obj) {
+    return key in obj;
+  }
+
+  // Return a copy of the object only containing the allowed properties.
+  var pick = restArguments(function(obj, keys) {
+    var result = {}, iteratee = keys[0];
+    if (obj == null) return result;
+    if (isFunction$1(iteratee)) {
+      if (keys.length > 1) iteratee = optimizeCb(iteratee, keys[1]);
+      keys = allKeys(obj);
+    } else {
+      iteratee = keyInObj;
+      keys = flatten$1(keys, false, false);
+      obj = Object(obj);
+    }
+    for (var i = 0, length = keys.length; i < length; i++) {
+      var key = keys[i];
+      var value = obj[key];
+      if (iteratee(value, key, obj)) result[key] = value;
+    }
+    return result;
+  });
+
+  // Return a copy of the object without the disallowed properties.
+  var omit = restArguments(function(obj, keys) {
+    var iteratee = keys[0], context;
+    if (isFunction$1(iteratee)) {
+      iteratee = negate(iteratee);
+      if (keys.length > 1) context = keys[1];
+    } else {
+      keys = map(flatten$1(keys, false, false), String);
+      iteratee = function(value, key) {
+        return !contains(keys, key);
+      };
+    }
+    return pick(obj, iteratee, context);
+  });
+
+  // Returns everything but the last entry of the array. Especially useful on
+  // the arguments object. Passing **n** will return all the values in
+  // the array, excluding the last N.
+  function initial(array, n, guard) {
+    return slice.call(array, 0, Math.max(0, array.length - (n == null || guard ? 1 : n)));
+  }
+
+  // Get the first element of an array. Passing **n** will return the first N
+  // values in the array. The **guard** check allows it to work with `_.map`.
+  function first(array, n, guard) {
+    if (array == null || array.length < 1) return n == null || guard ? void 0 : [];
+    if (n == null || guard) return array[0];
+    return initial(array, array.length - n);
+  }
+
+  // Returns everything but the first entry of the `array`. Especially useful on
+  // the `arguments` object. Passing an **n** will return the rest N values in the
+  // `array`.
+  function rest(array, n, guard) {
+    return slice.call(array, n == null || guard ? 1 : n);
+  }
+
+  // Get the last element of an array. Passing **n** will return the last N
+  // values in the array.
+  function last(array, n, guard) {
+    if (array == null || array.length < 1) return n == null || guard ? void 0 : [];
+    if (n == null || guard) return array[array.length - 1];
+    return rest(array, Math.max(0, array.length - n));
+  }
+
+  // Trim out all falsy values from an array.
+  function compact(array) {
+    return filter(array, Boolean);
+  }
+
+  // Flatten out an array, either recursively (by default), or up to `depth`.
+  // Passing `true` or `false` as `depth` means `1` or `Infinity`, respectively.
+  function flatten(array, depth) {
+    return flatten$1(array, depth, false);
+  }
+
+  // Take the difference between one array and a number of other arrays.
+  // Only the elements present in just the first array will remain.
+  var difference = restArguments(function(array, rest) {
+    rest = flatten$1(rest, true, true);
+    return filter(array, function(value){
+      return !contains(rest, value);
+    });
+  });
+
+  // Return a version of the array that does not contain the specified value(s).
+  var without = restArguments(function(array, otherArrays) {
+    return difference(array, otherArrays);
+  });
+
+  // Produce a duplicate-free version of the array. If the array has already
+  // been sorted, you have the option of using a faster algorithm.
+  // The faster algorithm will not work with an iteratee if the iteratee
+  // is not a one-to-one function, so providing an iteratee will disable
+  // the faster algorithm.
+  function uniq(array, isSorted, iteratee, context) {
+    if (!isBoolean(isSorted)) {
+      context = iteratee;
+      iteratee = isSorted;
+      isSorted = false;
+    }
+    if (iteratee != null) iteratee = cb(iteratee, context);
+    var result = [];
+    var seen = [];
+    for (var i = 0, length = getLength(array); i < length; i++) {
+      var value = array[i],
+          computed = iteratee ? iteratee(value, i, array) : value;
+      if (isSorted && !iteratee) {
+        if (!i || seen !== computed) result.push(value);
+        seen = computed;
+      } else if (iteratee) {
+        if (!contains(seen, computed)) {
+          seen.push(computed);
+          result.push(value);
+        }
+      } else if (!contains(result, value)) {
+        result.push(value);
+      }
+    }
+    return result;
+  }
+
+  // Produce an array that contains the union: each distinct element from all of
+  // the passed-in arrays.
+  var union = restArguments(function(arrays) {
+    return uniq(flatten$1(arrays, true, true));
+  });
+
+  // Produce an array that contains every item shared between all the
+  // passed-in arrays.
+  function intersection(array) {
+    var result = [];
+    var argsLength = arguments.length;
+    for (var i = 0, length = getLength(array); i < length; i++) {
+      var item = array[i];
+      if (contains(result, item)) continue;
+      var j;
+      for (j = 1; j < argsLength; j++) {
+        if (!contains(arguments[j], item)) break;
+      }
+      if (j === argsLength) result.push(item);
+    }
+    return result;
+  }
+
+  // Complement of zip. Unzip accepts an array of arrays and groups
+  // each array's elements on shared indices.
+  function unzip(array) {
+    var length = array && max(array, getLength).length || 0;
+    var result = Array(length);
+
+    for (var index = 0; index < length; index++) {
+      result[index] = pluck(array, index);
+    }
+    return result;
+  }
+
+  // Zip together multiple lists into a single array -- elements that share
+  // an index go together.
+  var zip = restArguments(unzip);
+
+  // Converts lists into objects. Pass either a single array of `[key, value]`
+  // pairs, or two parallel arrays of the same length -- one of keys, and one of
+  // the corresponding values. Passing by pairs is the reverse of `_.pairs`.
+  function object(list, values) {
+    var result = {};
+    for (var i = 0, length = getLength(list); i < length; i++) {
+      if (values) {
+        result[list[i]] = values[i];
+      } else {
+        result[list[i][0]] = list[i][1];
+      }
+    }
+    return result;
+  }
+
+  // Generate an integer Array containing an arithmetic progression. A port of
+  // the native Python `range()` function. See
+  // [the Python documentation](https://docs.python.org/library/functions.html#range).
+  function range(start, stop, step) {
+    if (stop == null) {
+      stop = start || 0;
+      start = 0;
+    }
+    if (!step) {
+      step = stop < start ? -1 : 1;
+    }
+
+    var length = Math.max(Math.ceil((stop - start) / step), 0);
+    var range = Array(length);
+
+    for (var idx = 0; idx < length; idx++, start += step) {
+      range[idx] = start;
+    }
+
+    return range;
+  }
+
+  // Chunk a single array into multiple arrays, each containing `count` or fewer
+  // items.
+  function chunk(array, count) {
+    if (count == null || count < 1) return [];
+    var result = [];
+    var i = 0, length = array.length;
+    while (i < length) {
+      result.push(slice.call(array, i, i += count));
+    }
+    return result;
+  }
+
+  // Helper function to continue chaining intermediate results.
+  function chainResult(instance, obj) {
+    return instance._chain ? _$1(obj).chain() : obj;
+  }
+
+  // Add your own custom functions to the Underscore object.
+  function mixin(obj) {
+    each(functions(obj), function(name) {
+      var func = _$1[name] = obj[name];
+      _$1.prototype[name] = function() {
+        var args = [this._wrapped];
+        push.apply(args, arguments);
+        return chainResult(this, func.apply(_$1, args));
+      };
+    });
+    return _$1;
+  }
+
+  // Add all mutator `Array` functions to the wrapper.
+  each(['pop', 'push', 'reverse', 'shift', 'sort', 'splice', 'unshift'], function(name) {
+    var method = ArrayProto[name];
+    _$1.prototype[name] = function() {
+      var obj = this._wrapped;
+      if (obj != null) {
+        method.apply(obj, arguments);
+        if ((name === 'shift' || name === 'splice') && obj.length === 0) {
+          delete obj[0];
+        }
+      }
+      return chainResult(this, obj);
+    };
+  });
+
+  // Add all accessor `Array` functions to the wrapper.
+  each(['concat', 'join', 'slice'], function(name) {
+    var method = ArrayProto[name];
+    _$1.prototype[name] = function() {
+      var obj = this._wrapped;
+      if (obj != null) obj = method.apply(obj, arguments);
+      return chainResult(this, obj);
+    };
+  });
+
+  // Named Exports
+
+  var allExports = {
+    __proto__: null,
+    VERSION: VERSION,
+    restArguments: restArguments,
+    isObject: isObject,
+    isNull: isNull,
+    isUndefined: isUndefined,
+    isBoolean: isBoolean,
+    isElement: isElement,
+    isString: isString,
+    isNumber: isNumber,
+    isDate: isDate,
+    isRegExp: isRegExp,
+    isError: isError,
+    isSymbol: isSymbol,
+    isArrayBuffer: isArrayBuffer,
+    isDataView: isDataView$1,
+    isArray: isArray,
+    isFunction: isFunction$1,
+    isArguments: isArguments$1,
+    isFinite: isFinite$1,
+    isNaN: isNaN$1,
+    isTypedArray: isTypedArray$1,
+    isEmpty: isEmpty,
+    isMatch: isMatch,
+    isEqual: isEqual,
+    isMap: isMap,
+    isWeakMap: isWeakMap,
+    isSet: isSet,
+    isWeakSet: isWeakSet,
+    keys: keys,
+    allKeys: allKeys,
+    values: values,
+    pairs: pairs,
+    invert: invert,
+    functions: functions,
+    methods: functions,
+    extend: extend,
+    extendOwn: extendOwn,
+    assign: extendOwn,
+    defaults: defaults,
+    create: create,
+    clone: clone,
+    tap: tap,
+    get: get,
+    has: has,
+    mapObject: mapObject,
+    identity: identity,
+    constant: constant,
+    noop: noop,
+    toPath: toPath$1,
+    property: property,
+    propertyOf: propertyOf,
+    matcher: matcher,
+    matches: matcher,
+    times: times,
+    random: random,
+    now: now,
+    escape: _escape,
+    unescape: _unescape,
+    templateSettings: templateSettings,
+    template: template,
+    result: result,
+    uniqueId: uniqueId,
+    chain: chain,
+    iteratee: iteratee,
+    partial: partial,
+    bind: bind,
+    bindAll: bindAll,
+    memoize: memoize,
+    delay: delay,
+    defer: defer,
+    throttle: throttle,
+    debounce: debounce,
+    wrap: wrap,
+    negate: negate,
+    compose: compose,
+    after: after,
+    before: before,
+    once: once,
+    findKey: findKey,
+    findIndex: findIndex,
+    findLastIndex: findLastIndex,
+    sortedIndex: sortedIndex,
+    indexOf: indexOf,
+    lastIndexOf: lastIndexOf,
+    find: find,
+    detect: find,
+    findWhere: findWhere,
+    each: each,
+    forEach: each,
+    map: map,
+    collect: map,
+    reduce: reduce,
+    foldl: reduce,
+    inject: reduce,
+    reduceRight: reduceRight,
+    foldr: reduceRight,
+    filter: filter,
+    select: filter,
+    reject: reject,
+    every: every,
+    all: every,
+    some: some,
+    any: some,
+    contains: contains,
+    includes: contains,
+    include: contains,
+    invoke: invoke,
+    pluck: pluck,
+    where: where,
+    max: max,
+    min: min,
+    shuffle: shuffle,
+    sample: sample,
+    sortBy: sortBy,
+    groupBy: groupBy,
+    indexBy: indexBy,
+    countBy: countBy,
+    partition: partition,
+    toArray: toArray,
+    size: size,
+    pick: pick,
+    omit: omit,
+    first: first,
+    head: first,
+    take: first,
+    initial: initial,
+    last: last,
+    rest: rest,
+    tail: rest,
+    drop: rest,
+    compact: compact,
+    flatten: flatten,
+    without: without,
+    uniq: uniq,
+    unique: uniq,
+    union: union,
+    intersection: intersection,
+    difference: difference,
+    unzip: unzip,
+    transpose: unzip,
+    zip: zip,
+    object: object,
+    range: range,
+    chunk: chunk,
+    mixin: mixin,
+    'default': _$1
+  };
+
+  // Default Export
+
+  // Add all of the Underscore functions to the wrapper object.
+  var _ = mixin(allExports);
+  // Legacy Node.js API.
+  _._ = _;
+
+  return _;
+
+})));
+//# sourceMappingURL=underscore-umd.js.map
diff --git a/docs/build/html/_static/underscore.js b/docs/build/html/_static/underscore.js
new file mode 100644
index 000000000..cf177d428
--- /dev/null
+++ b/docs/build/html/_static/underscore.js
@@ -0,0 +1,6 @@
+!function(n,r){"object"==typeof exports&&"undefined"!=typeof module?module.exports=r():"function"==typeof define&&define.amd?define("underscore",r):(n="undefined"!=typeof globalThis?globalThis:n||self,function(){var t=n._,e=n._=r();e.noConflict=function(){return n._=t,e}}())}(this,(function(){
+//     Underscore.js 1.13.1
+//     https://underscorejs.org
+//     (c) 2009-2021 Jeremy Ashkenas, Julian Gonggrijp, and DocumentCloud and Investigative Reporters & Editors
+//     Underscore may be freely distributed under the MIT license.
+var n="1.13.1",r="object"==typeof self&&self.self===self&&self||"object"==typeof global&&global.global===global&&global||Function("return this")()||{},t=Array.prototype,e=Object.prototype,u="undefined"!=typeof Symbol?Symbol.prototype:null,o=t.push,i=t.slice,a=e.toString,f=e.hasOwnProperty,c="undefined"!=typeof ArrayBuffer,l="undefined"!=typeof DataView,s=Array.isArray,p=Object.keys,v=Object.create,h=c&&ArrayBuffer.isView,y=isNaN,d=isFinite,g=!{toString:null}.propertyIsEnumerable("toString"),b=["valueOf","isPrototypeOf","toString","propertyIsEnumerable","hasOwnProperty","toLocaleString"],m=Math.pow(2,53)-1;function j(n,r){return r=null==r?n.length-1:+r,function(){for(var t=Math.max(arguments.length-r,0),e=Array(t),u=0;u<t;u++)e[u]=arguments[u+r];switch(r){case 0:return n.call(this,e);case 1:return n.call(this,arguments[0],e);case 2:return n.call(this,arguments[0],arguments[1],e)}var o=Array(r+1);for(u=0;u<r;u++)o[u]=arguments[u];return o[r]=e,n.apply(this,o)}}function _(n){var r=typeof 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+<head>
+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
+
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Operations &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
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+
+          
+          
+          <a href="../index.html" class="icon icon-home">
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+              <div class="version">
+                0.0.0
+              </div>
+<div role="search">
+  <form id="rtd-search-form" class="wy-form" action="../search.html" method="get">
+    <input type="text" name="q" placeholder="Search docs" aria-label="Search docs" />
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+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../install.html">Build and Install</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
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+<li class="toctree-l1"><a class="reference internal" href="../python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../python/ops.html">Operations</a></li>
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+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
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+<html class="writer-html5" lang="en" >
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+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul class="current">
+<li class="toctree-l1 current"><a class="current reference internal" href="#">Developer Documentation</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="#introducing-the-example">Introducing the Example</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#operations-and-primitives">Operations and Primitives</a><ul>
+<li class="toctree-l3"><a class="reference internal" href="#operations">Operations</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#primitives">Primitives</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#using-the-primitives">Using the Primitives</a></li>
+</ul>
+</li>
+<li class="toctree-l2"><a class="reference internal" href="#implementing-the-primitive">Implementing the Primitive</a><ul>
+<li class="toctree-l3"><a class="reference internal" href="#implementing-the-cpu-backend">Implementing the CPU Backend</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#implementing-the-gpu-backend">Implementing the GPU Backend</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#primitive-transforms">Primitive Transforms</a></li>
+</ul>
+</li>
+<li class="toctree-l2"><a class="reference internal" href="#building-and-binding">Building and Binding</a><ul>
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+<li class="toctree-l3"><a class="reference internal" href="#building-with-cmake">Building with CMake</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#building-with-setuptools">Building with <code class="docutils literal notranslate"><span class="pre">setuptools</span></code></a></li>
+</ul>
+</li>
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+</ul>
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../python/ops.html">Operations</a></li>
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+<li class="toctree-l1"><a class="reference internal" href="../python/nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../python/optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../python/tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
+</ul>
+
+        </div>
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+            <a href="../_sources/dev/extensions.rst.txt" rel="nofollow"> View page source</a>
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+  </ul>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="developer-documentation">
+<h1>Developer Documentation<a class="headerlink" href="#developer-documentation" title="Permalink to this heading"></a></h1>
+<p>MLX provides a open and flexible backend to which users may add operations
+and specialized implementations without much hassle. While the library supplies
+efficient operations that can be used and composed for any number of
+applications, there may arise cases where new functionalities or highly
+optimized implementations are needed. For such cases, you may design and
+implement your own operations that link to and build on top of <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.core</span></code>.
+We will introduce the inner-workings of MLX and go over a simple example to
+learn the steps involved in adding new operations to MLX with your own CPU
+and GPU implementations.</p>
+<section id="introducing-the-example">
+<h2>Introducing the Example<a class="headerlink" href="#introducing-the-example" title="Permalink to this heading"></a></h2>
+<p>Let’s say that you would like an operation that takes in two arrays,
+<code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code>, scales them both by some coefficents <code class="docutils literal notranslate"><span class="pre">alpha</span></code> and <code class="docutils literal notranslate"><span class="pre">beta</span></code>
+respectively, and then adds them together to get the result
+<code class="docutils literal notranslate"><span class="pre">z</span> <span class="pre">=</span> <span class="pre">alpha</span> <span class="pre">*</span> <span class="pre">x</span> <span class="pre">+</span> <span class="pre">beta</span> <span class="pre">*</span> <span class="pre">y</span></code>. Well, you can very easily do that by just
+writing out a function as follows:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+
+<span class="k">def</span> <span class="nf">simple_axpby</span><span class="p">(</span><span class="n">x</span><span class="p">:</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">,</span> <span class="n">y</span><span class="p">:</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">,</span> <span class="n">alpha</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span> <span class="n">beta</span><span class="p">:</span> <span class="nb">float</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">:</span>
+    <span class="k">return</span> <span class="n">alpha</span> <span class="o">*</span> <span class="n">x</span> <span class="o">+</span> <span class="n">beta</span> <span class="o">*</span> <span class="n">y</span>
+</pre></div>
+</div>
+<p>This function performs that operation while leaving the implementations and
+differentiation to MLX.</p>
+<p>However, you work with vector math libraries often and realize that the
+<code class="docutils literal notranslate"><span class="pre">axpby</span></code> routine defines the same operation <code class="docutils literal notranslate"><span class="pre">Y</span> <span class="pre">=</span> <span class="pre">(alpha</span> <span class="pre">*</span> <span class="pre">X)</span> <span class="pre">+</span> <span class="pre">(beta</span> <span class="pre">*</span> <span class="pre">Y)</span></code>.
+You would really like the part of your applications that does this operation
+on the CPU to be very fast - so you decide that you want it to rely on the
+<code class="docutils literal notranslate"><span class="pre">axpby</span></code> routine provided by the <a class="reference external" href="https://developer.apple.com/documentation/accelerate/blas?language=objc">Accelerate</a> framework. Continuing to impose
+our assumptions on to you, let’s also assume that you want to learn how add
+your own implementation for the gradients of your new operation while going
+over the ins-and-outs of the MLX framework.</p>
+<p>Well, what a coincidence! You are in the right place. Over the course of this
+example, we will learn:</p>
+<ul class="simple">
+<li><p>The structure of the MLX library from the frontend API to the backend implementations.</p></li>
+<li><p>How to implement your own CPU backend that redirects to <a class="reference external" href="https://developer.apple.com/documentation/accelerate/blas?language=objc">Accelerate</a> when appropriate (and a fallback if needed).</p></li>
+<li><p>How to implement your own GPU implementation using metal.</p></li>
+<li><p>How to add your own <code class="docutils literal notranslate"><span class="pre">vjp</span></code> and <code class="docutils literal notranslate"><span class="pre">jvp</span></code>.</p></li>
+<li><p>How to build your implementations, link them to MLX, and bind them to python.</p></li>
+</ul>
+</section>
+<section id="operations-and-primitives">
+<h2>Operations and Primitives<a class="headerlink" href="#operations-and-primitives" title="Permalink to this heading"></a></h2>
+<p>In one sentence, operations in MLX build the computation graph, and primitives
+provide the rules for evaluation and transformations of said graph. Let’s start
+by discussing operations in more detail.</p>
+<section id="operations">
+<h3>Operations<a class="headerlink" href="#operations" title="Permalink to this heading"></a></h3>
+<p>Operations are the frontend functions that operate on arrays. They are defined
+in the C++ API (<a class="reference internal" href="../cpp/ops.html#cpp-ops"><span class="std std-ref">Operations</span></a>) and then we provide bindings to these
+operations in the Python API (<a class="reference internal" href="../python/ops.html#ops"><span class="std std-ref">Operations</span></a>).</p>
+<p>We would like an operation, <code class="xref py py-meth docutils literal notranslate"><span class="pre">axpby()</span></code> that takes in two arrays <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code>,
+and two scalars, <code class="docutils literal notranslate"><span class="pre">alpha</span></code> and <code class="docutils literal notranslate"><span class="pre">beta</span></code>. This is how we would define it in the
+C++ API:</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/**</span>
+<span class="cm">*  Scale and sum two vectors elementwise</span>
+<span class="cm">*  z = alpha * x + beta * y</span>
+<span class="cm">*</span>
+<span class="cm">*  Follow numpy style broadcasting between x and y</span>
+<span class="cm">*  Inputs are upcasted to floats if needed</span>
+<span class="cm">**/</span>
+<span class="n">array</span><span class="w"> </span><span class="nf">axpby</span><span class="p">(</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="c1">// Input array x</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="c1">// Input array y</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha</span><span class="p">,</span><span class="w"> </span><span class="c1">// Scaling factor for x</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta</span><span class="p">,</span><span class="w"> </span><span class="c1">// Scaling factor for y</span>
+<span class="w">    </span><span class="n">StreamOrDevice</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="c1">// Stream on which to schedule the operation</span>
+<span class="p">);</span>
+</pre></div>
+</div>
+<p>This operation itself can call other operations within it if needed. So, the
+simplest way to go about implementing this operation would be do so in terms
+of existing operations.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="n">array</span><span class="w"> </span><span class="nf">axpby</span><span class="p">(</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="c1">// Input array x</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="c1">// Input array y</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha</span><span class="p">,</span><span class="w"> </span><span class="c1">// Scaling factor for x</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta</span><span class="p">,</span><span class="w"> </span><span class="c1">// Scaling factor for y</span>
+<span class="w">    </span><span class="n">StreamOrDevice</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="cm">/* = {} */</span><span class="w"> </span><span class="c1">// Stream on which to schedule the operation</span>
+<span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Scale x and y on the provided stream</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">ax</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">multiply</span><span class="p">(</span><span class="n">array</span><span class="p">(</span><span class="n">alpha</span><span class="p">),</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">by</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">multiply</span><span class="p">(</span><span class="n">array</span><span class="p">(</span><span class="n">beta</span><span class="p">),</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Add and return</span>
+<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="n">add</span><span class="p">(</span><span class="n">ax</span><span class="p">,</span><span class="w"> </span><span class="n">by</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>However, as we discussed earlier, this is not our goal. The operations themselves
+do not contain the implementations that act on the data, nor do they contain the
+rules of transformations. Rather, they are an easy to use interface that build
+on top of the building blocks we call <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code>.</p>
+</section>
+<section id="primitives">
+<h3>Primitives<a class="headerlink" href="#primitives" title="Permalink to this heading"></a></h3>
+<p>A <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code> is part of the computation graph of an <code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code>. It
+defines how to create an output given a set of input <code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code> . Further,
+a <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code> is a class that contains rules on how it is evaluated
+on the CPU or GPU, and how it acts under transformations such as <code class="docutils literal notranslate"><span class="pre">vjp</span></code> and
+<code class="docutils literal notranslate"><span class="pre">jvp</span></code>. These words on their own can be a bit abstract, so lets take a step
+back and go to our example to give ourselves a more concrete image.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="k">class</span><span class="w"> </span><span class="nc">Axpby</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="n">Primitive</span><span class="w"> </span><span class="p">{</span>
+<span class="w">  </span><span class="k">public</span><span class="o">:</span>
+<span class="w">    </span><span class="k">explicit</span><span class="w"> </span><span class="n">Axpby</span><span class="p">(</span><span class="n">Stream</span><span class="w"> </span><span class="n">stream</span><span class="p">,</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha</span><span class="p">,</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta</span><span class="p">)</span>
+<span class="w">        </span><span class="o">:</span><span class="w"> </span><span class="n">Primitive</span><span class="p">(</span><span class="n">stream</span><span class="p">),</span><span class="w"> </span><span class="n">alpha_</span><span class="p">(</span><span class="n">alpha</span><span class="p">),</span><span class="w"> </span><span class="n">beta_</span><span class="p">(</span><span class="n">beta</span><span class="p">){};</span>
+
+<span class="w">    </span><span class="cm">/**</span>
+<span class="cm">    * A primitive must know how to evaluate itself on the CPU/GPU</span>
+<span class="cm">    * for the given inputs and populate the output array.</span>
+<span class="cm">    *</span>
+<span class="cm">    * To avoid unecessary allocations, the evaluation function</span>
+<span class="cm">    * is responsible for allocating space for the array.</span>
+<span class="cm">    */</span>
+<span class="w">    </span><span class="kt">void</span><span class="w"> </span><span class="nf">eval_cpu</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">)</span><span class="w"> </span><span class="k">override</span><span class="p">;</span>
+<span class="w">    </span><span class="kt">void</span><span class="w"> </span><span class="nf">eval_gpu</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">)</span><span class="w"> </span><span class="k">override</span><span class="p">;</span>
+
+<span class="w">    </span><span class="cm">/** The Jacobian-vector product. */</span>
+<span class="w">    </span><span class="n">array</span><span class="w"> </span><span class="nf">jvp</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">primals</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">tangents</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">argnums</span><span class="p">)</span><span class="w"> </span><span class="k">override</span><span class="p">;</span>
+
+<span class="w">    </span><span class="cm">/** The vector-Jacobian product. */</span>
+<span class="w">    </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;</span><span class="w"> </span><span class="n">vjp</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">primals</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">cotan</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">argnums</span><span class="p">)</span><span class="w"> </span><span class="k">override</span><span class="p">;</span>
+
+<span class="w">    </span><span class="cm">/**</span>
+<span class="cm">    * The primitive must know how to vectorize itself accross</span>
+<span class="cm">    * the given axes. The output is a pair containing the array</span>
+<span class="cm">    * representing the vectorized computation and the axis which</span>
+<span class="cm">    * corresponds to the output vectorized dimension.</span>
+<span class="cm">    */</span>
+<span class="w">    </span><span class="n">std</span><span class="o">::</span><span class="n">pair</span><span class="o">&lt;</span><span class="n">array</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="o">&gt;</span><span class="w"> </span><span class="n">vmap</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">axes</span><span class="p">)</span><span class="w"> </span><span class="k">override</span><span class="p">;</span>
+
+<span class="w">    </span><span class="cm">/** Print the primitive. */</span>
+<span class="w">    </span><span class="kt">void</span><span class="w"> </span><span class="nf">print</span><span class="p">(</span><span class="n">std</span><span class="o">::</span><span class="n">ostream</span><span class="o">&amp;</span><span class="w"> </span><span class="n">os</span><span class="p">)</span><span class="w"> </span><span class="k">override</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="n">os</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="s">&quot;Axpby&quot;</span><span class="p">;</span>
+<span class="w">    </span><span class="p">}</span>
+
+<span class="w">    </span><span class="cm">/** Equivalence check **/</span>
+<span class="w">    </span><span class="kt">bool</span><span class="w"> </span><span class="nf">is_equivalent</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">Primitive</span><span class="o">&amp;</span><span class="w"> </span><span class="n">other</span><span class="p">)</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="k">override</span><span class="p">;</span>
+
+<span class="w">  </span><span class="k">private</span><span class="o">:</span>
+<span class="w">    </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha_</span><span class="p">;</span>
+<span class="w">    </span><span class="kt">float</span><span class="w"> </span><span class="n">beta_</span><span class="p">;</span>
+
+<span class="w">    </span><span class="cm">/** Fall back implementation for evaluation on CPU */</span>
+<span class="w">    </span><span class="kt">void</span><span class="w"> </span><span class="nf">eval</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">);</span>
+<span class="p">};</span>
+</pre></div>
+</div>
+<p>The <code class="xref py py-class docutils literal notranslate"><span class="pre">Axpby</span></code> class derives from the base <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code> class and
+follows the above demonstrated interface. <code class="xref py py-class docutils literal notranslate"><span class="pre">Axpby</span></code> treats <code class="docutils literal notranslate"><span class="pre">alpha</span></code> and
+<code class="docutils literal notranslate"><span class="pre">beta</span></code> as parameters. It then provides implementations of how the array <code class="docutils literal notranslate"><span class="pre">out</span></code>
+is produced given <code class="docutils literal notranslate"><span class="pre">inputs</span></code> through <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_cpu()</span></code> and
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_gpu()</span></code>. Further, it provides rules of transformations in
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::jvp()</span></code>, <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::vjp()</span></code>, and <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::vmap()</span></code>.</p>
+</section>
+<section id="using-the-primitives">
+<h3>Using the Primitives<a class="headerlink" href="#using-the-primitives" title="Permalink to this heading"></a></h3>
+<p>Operations can use this <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code> to add a new <code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code> to
+the computation graph. An <code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code> can be constructed by providing its
+data type, shape, the <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code> that computes it, and the
+<code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code> inputs that are passed to the primitive.</p>
+<p>Let’s re-implement our operation now in terms of our <code class="xref py py-class docutils literal notranslate"><span class="pre">Axpby</span></code> primitive.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="n">array</span><span class="w"> </span><span class="nf">axpby</span><span class="p">(</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="c1">// Input array x</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="c1">// Input array y</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha</span><span class="p">,</span><span class="w"> </span><span class="c1">// Scaling factor for x</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="w"> </span><span class="n">beta</span><span class="p">,</span><span class="w"> </span><span class="c1">// Scaling factor for y</span>
+<span class="w">    </span><span class="n">StreamOrDevice</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="cm">/* = {} */</span><span class="w"> </span><span class="c1">// Stream on which to schedule the operation</span>
+<span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Promote dtypes between x and y as needed</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">promoted_dtype</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">promote_types</span><span class="p">(</span><span class="n">x</span><span class="p">.</span><span class="n">dtype</span><span class="p">(),</span><span class="w"> </span><span class="n">y</span><span class="p">.</span><span class="n">dtype</span><span class="p">());</span>
+
+<span class="w">    </span><span class="c1">// Upcast to float32 for non-floating point inputs x and y</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">out_dtype</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">is_floating_point</span><span class="p">(</span><span class="n">promoted_dtype</span><span class="p">)</span>
+<span class="w">        </span><span class="o">?</span><span class="w"> </span><span class="n">promoted_dtype</span>
+<span class="w">        </span><span class="o">:</span><span class="w"> </span><span class="n">promote_types</span><span class="p">(</span><span class="n">promoted_dtype</span><span class="p">,</span><span class="w"> </span><span class="n">float32</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Cast x and y up to the determined dtype (on the same stream s)</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">x_casted</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">astype</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">out_dtype</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">y_casted</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">astype</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out_dtype</span><span class="p">,</span><span class="w"> </span><span class="n">s</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Broadcast the shapes of x and y (on the same stream s)</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">broadcasted_inputs</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">broadcast_arrays</span><span class="p">({</span><span class="n">x_casted</span><span class="p">,</span><span class="w"> </span><span class="n">y_casted</span><span class="p">},</span><span class="w"> </span><span class="n">s</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">out_shape</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">broadcasted_inputs</span><span class="p">[</span><span class="mi">0</span><span class="p">].</span><span class="n">shape</span><span class="p">();</span>
+
+<span class="w">    </span><span class="c1">// Construct the array as the output of the Axpby primitive</span>
+<span class="w">    </span><span class="c1">// with the broadcasted and upcasted arrays as inputs</span>
+<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="n">array</span><span class="p">(</span>
+<span class="w">        </span><span class="cm">/* const std::vector&lt;int&gt;&amp; shape = */</span><span class="w"> </span><span class="n">out_shape</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* Dtype dtype = */</span><span class="w"> </span><span class="n">out_dtype</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* std::unique_ptr&lt;Primitive&gt; primitive = */</span>
+<span class="w">        </span><span class="n">std</span><span class="o">::</span><span class="n">make_unique</span><span class="o">&lt;</span><span class="n">Axpby</span><span class="o">&gt;</span><span class="p">(</span><span class="n">to_stream</span><span class="p">(</span><span class="n">s</span><span class="p">),</span><span class="w"> </span><span class="n">alpha</span><span class="p">,</span><span class="w"> </span><span class="n">beta</span><span class="p">),</span>
+<span class="w">        </span><span class="cm">/* const std::vector&lt;array&gt;&amp; inputs = */</span><span class="w"> </span><span class="n">broadcasted_inputs</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>This operation now handles the following:</p>
+<ol class="arabic simple">
+<li><p>Upcast inputs and resolve the the output data type.</p></li>
+<li><p>Broadcast the inputs and resolve the output shape.</p></li>
+<li><p>Construct the primitive <code class="xref py py-class docutils literal notranslate"><span class="pre">Axpby</span></code> using the given stream, <code class="docutils literal notranslate"><span class="pre">alpha</span></code>, and <code class="docutils literal notranslate"><span class="pre">beta</span></code>.</p></li>
+<li><p>Construct the output <code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code> using the primitive and the inputs.</p></li>
+</ol>
+</section>
+</section>
+<section id="implementing-the-primitive">
+<h2>Implementing the Primitive<a class="headerlink" href="#implementing-the-primitive" title="Permalink to this heading"></a></h2>
+<p>No computation happens when we call the operation alone. In effect, the
+operation only builds the computation graph. When we evaluate the output
+array, MLX schedules the execution of the computation graph, and calls
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_cpu()</span></code> or <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_gpu()</span></code> depending on the
+stream/device specified by the user.</p>
+<div class="admonition warning">
+<p class="admonition-title">Warning</p>
+<p>When <code class="xref py py-meth docutils literal notranslate"><span class="pre">Primitive::eval_cpu()</span></code> or <code class="xref py py-meth docutils literal notranslate"><span class="pre">Primitive::eval_gpu()</span></code> are called,
+no memory has been allocated for the output array. It falls on the implementation
+of these functions to allocate memory as needed</p>
+</div>
+<section id="implementing-the-cpu-backend">
+<h3>Implementing the CPU Backend<a class="headerlink" href="#implementing-the-cpu-backend" title="Permalink to this heading"></a></h3>
+<p>Let’s start by trying to implement a naive and generic version of
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_cpu()</span></code>. We declared this as a private member function of
+<code class="xref py py-class docutils literal notranslate"><span class="pre">Axpby</span></code> earlier called <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval()</span></code>.</p>
+<p>Our naive method will go over each element of the output array, find the
+corresponding input elements of <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code> and perform the operation
+pointwise. This is captured in the templated function <code class="xref py py-meth docutils literal notranslate"><span class="pre">axpby_impl()</span></code>.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="k">template</span><span class="w"> </span><span class="o">&lt;</span><span class="k">typename</span><span class="w"> </span><span class="nc">T</span><span class="o">&gt;</span>
+<span class="kt">void</span><span class="w"> </span><span class="n">axpby_impl</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">,</span>
+<span class="w">        </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">,</span>
+<span class="w">        </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span>
+<span class="w">        </span><span class="kt">float</span><span class="w"> </span><span class="n">beta_</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// We only allocate memory when we are ready to fill the output</span>
+<span class="w">    </span><span class="c1">// malloc_or_wait synchronously allocates available memory</span>
+<span class="w">    </span><span class="c1">// There may be a wait executed here if the allocation is requested</span>
+<span class="w">    </span><span class="c1">// under memory-pressured conditions</span>
+<span class="w">    </span><span class="n">out</span><span class="p">.</span><span class="n">set_data</span><span class="p">(</span><span class="n">allocator</span><span class="o">::</span><span class="n">malloc_or_wait</span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">nbytes</span><span class="p">()));</span>
+
+<span class="w">    </span><span class="c1">// Collect input and output data pointers</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">x_ptr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="p">.</span><span class="n">data</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">();</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">y_ptr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">y</span><span class="p">.</span><span class="n">data</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">();</span>
+<span class="w">    </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">out_ptr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">data</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">();</span>
+
+<span class="w">    </span><span class="c1">// Cast alpha and beta to the relevant types</span>
+<span class="w">    </span><span class="n">T</span><span class="w"> </span><span class="n">alpha</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">static_cast</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">(</span><span class="n">alpha_</span><span class="p">);</span>
+<span class="w">    </span><span class="n">T</span><span class="w"> </span><span class="n">beta</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">static_cast</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">(</span><span class="n">beta_</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Do the elementwise operation for each output</span>
+<span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">size_t</span><span class="w"> </span><span class="n">out_idx</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">out_idx</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">size</span><span class="p">();</span><span class="w"> </span><span class="n">out_idx</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="c1">// Map linear indices to offsets in x and y</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="n">x_offset</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">elem_to_loc</span><span class="p">(</span><span class="n">out_idx</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="p">.</span><span class="n">shape</span><span class="p">(),</span><span class="w"> </span><span class="n">x</span><span class="p">.</span><span class="n">strides</span><span class="p">());</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="n">y_offset</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">elem_to_loc</span><span class="p">(</span><span class="n">out_idx</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">.</span><span class="n">shape</span><span class="p">(),</span><span class="w"> </span><span class="n">y</span><span class="p">.</span><span class="n">strides</span><span class="p">());</span>
+
+<span class="w">        </span><span class="c1">// We allocate the output to be contiguous and regularly strided</span>
+<span class="w">        </span><span class="c1">// (defaults to row major) and hence it doesn&#39;t need additonal mapping</span>
+<span class="w">        </span><span class="n">out_ptr</span><span class="p">[</span><span class="n">out_idx</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">alpha</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">x_ptr</span><span class="p">[</span><span class="n">x_offset</span><span class="p">]</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">beta</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">y_ptr</span><span class="p">[</span><span class="n">y_offset</span><span class="p">];</span>
+<span class="w">    </span><span class="p">}</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>Now, we would like our implementation to be able to do this pointwise operation
+for all incoming floating point arrays. Accordingly, we add dispatches for
+<code class="docutils literal notranslate"><span class="pre">float32</span></code>, <code class="docutils literal notranslate"><span class="pre">float16</span></code>, <code class="docutils literal notranslate"><span class="pre">bfloat16</span></code> and <code class="docutils literal notranslate"><span class="pre">complex64</span></code>. We throw an error
+if we encounter an unexpected type.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/** Fall back implementation for evaluation on CPU */</span>
+<span class="kt">void</span><span class="w"> </span><span class="nf">Axpby::eval</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Check the inputs (registered in the op while contructing the out array)</span>
+<span class="w">    </span><span class="n">assert</span><span class="p">(</span><span class="n">inputs</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inputs</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inputs</span><span class="p">[</span><span class="mi">1</span><span class="p">];</span>
+
+<span class="w">    </span><span class="c1">// Dispatch to the correct dtype</span>
+<span class="w">    </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">dtype</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">float32</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">axpby_impl</span><span class="o">&lt;</span><span class="kt">float</span><span class="o">&gt;</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="n">beta_</span><span class="p">);</span>
+<span class="w">    </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">dtype</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">float16</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">axpby_impl</span><span class="o">&lt;</span><span class="n">float16_t</span><span class="o">&gt;</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="n">beta_</span><span class="p">);</span>
+<span class="w">    </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">dtype</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">bfloat16</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">axpby_impl</span><span class="o">&lt;</span><span class="n">bfloat16_t</span><span class="o">&gt;</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="n">beta_</span><span class="p">);</span>
+<span class="w">    </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">dtype</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">complex64</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">axpby_impl</span><span class="o">&lt;</span><span class="n">complex64_t</span><span class="o">&gt;</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="n">beta_</span><span class="p">);</span>
+<span class="w">    </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">throw</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">runtime_error</span><span class="p">(</span>
+<span class="w">            </span><span class="s">&quot;Axpby is only supported for floating point types.&quot;</span><span class="p">);</span>
+<span class="w">    </span><span class="p">}</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>We have a fallback implementation! Now, to do what we are really here to do.
+Remember we wanted to use the <code class="docutils literal notranslate"><span class="pre">axpby</span></code> routine provided by the <a class="reference external" href="https://developer.apple.com/documentation/accelerate/blas?language=objc">Accelerate</a>
+framework? Well, there are 3 complications to keep in mind:</p>
+<ol class="arabic simple">
+<li><p>Accelerate does not provide implementations of <code class="docutils literal notranslate"><span class="pre">axpby</span></code> for half precision
+floats. We can only direct to it for <code class="docutils literal notranslate"><span class="pre">float32</span></code> types</p></li>
+<li><p>Accelerate assumes the inputs <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code> are contiguous and all elements
+have fixed strides between them. Possibly due to broadcasts and transposes,
+we aren’t guaranteed that the inputs fit this requirement. We can
+only direct to Accelerate if both <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code> are row contiguous or
+column contiguous.</p></li>
+<li><p>Accelerate performs the routine <code class="docutils literal notranslate"><span class="pre">Y</span> <span class="pre">=</span> <span class="pre">(alpha</span> <span class="pre">*</span> <span class="pre">X)</span> <span class="pre">+</span> <span class="pre">(beta</span> <span class="pre">*</span> <span class="pre">Y)</span></code> inplace.
+MLX expects to write out the answer to a new array. We must copy the elements
+of <code class="docutils literal notranslate"><span class="pre">y</span></code> into the output array and use that as an input to <code class="docutils literal notranslate"><span class="pre">axpby</span></code></p></li>
+</ol>
+<p>Let’s write out an implementation that uses Accelerate in the right conditions.
+It must simply allocate data for the output, copy elements of <code class="docutils literal notranslate"><span class="pre">y</span></code> into it,
+and then call the <code class="xref py py-meth docutils literal notranslate"><span class="pre">catlas_saxpby()</span></code> from accelerate.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="k">template</span><span class="w"> </span><span class="o">&lt;</span><span class="k">typename</span><span class="w"> </span><span class="nc">T</span><span class="o">&gt;</span>
+<span class="kt">void</span><span class="w"> </span><span class="n">axpby_impl_accelerate</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">,</span>
+<span class="w">        </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">,</span>
+<span class="w">        </span><span class="kt">float</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span>
+<span class="w">        </span><span class="kt">float</span><span class="w"> </span><span class="n">beta_</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Accelerate library provides catlas_saxpby which does</span>
+<span class="w">    </span><span class="c1">// Y = (alpha * X) + (beta * Y) in place</span>
+<span class="w">    </span><span class="c1">// To use it, we first copy the data in y over to the output array</span>
+
+<span class="w">    </span><span class="c1">// This specialization requires both x and y be contiguous in the same mode</span>
+<span class="w">    </span><span class="c1">// i.e: corresponding linear indices in both point to corresponding elements</span>
+<span class="w">    </span><span class="c1">// The data in the output array is allocated to match the strides in y</span>
+<span class="w">    </span><span class="c1">// such that x, y, and out are contiguous in the same mode and</span>
+<span class="w">    </span><span class="c1">// no transposition is needed</span>
+<span class="w">    </span><span class="n">out</span><span class="p">.</span><span class="n">set_data</span><span class="p">(</span>
+<span class="w">        </span><span class="n">allocator</span><span class="o">::</span><span class="n">malloc_or_wait</span><span class="p">(</span><span class="n">y</span><span class="p">.</span><span class="n">data_size</span><span class="p">()</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">itemsize</span><span class="p">()),</span>
+<span class="w">        </span><span class="n">y</span><span class="p">.</span><span class="n">data_size</span><span class="p">(),</span>
+<span class="w">        </span><span class="n">y</span><span class="p">.</span><span class="n">strides</span><span class="p">(),</span>
+<span class="w">        </span><span class="n">y</span><span class="p">.</span><span class="n">flags</span><span class="p">());</span>
+
+<span class="w">    </span><span class="c1">// We then copy over the elements using the contiguous vector specialization</span>
+<span class="w">    </span><span class="n">copy_inplace</span><span class="p">(</span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="n">CopyType</span><span class="o">::</span><span class="n">Vector</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Get x and y pointers for catlas_saxpby</span>
+<span class="w">    </span><span class="k">const</span><span class="w"> </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">x_ptr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">x</span><span class="p">.</span><span class="n">data</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">();</span>
+<span class="w">    </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">y_ptr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">data</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">();</span>
+
+<span class="w">    </span><span class="n">T</span><span class="w"> </span><span class="n">alpha</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">static_cast</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">(</span><span class="n">alpha_</span><span class="p">);</span>
+<span class="w">    </span><span class="n">T</span><span class="w"> </span><span class="n">beta</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">static_cast</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">(</span><span class="n">beta_</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Call the inplace accelerate operator</span>
+<span class="w">    </span><span class="n">catlas_saxpby</span><span class="p">(</span>
+<span class="w">        </span><span class="cm">/* N = */</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">size</span><span class="p">(),</span>
+<span class="w">        </span><span class="cm">/* ALPHA = */</span><span class="w"> </span><span class="n">alpha</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* X = */</span><span class="w"> </span><span class="n">x_ptr</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* INCX = */</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* BETA = */</span><span class="w"> </span><span class="n">beta</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* Y = */</span><span class="w"> </span><span class="n">y_ptr</span><span class="p">,</span>
+<span class="w">        </span><span class="cm">/* INCY = */</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>Great! But what about the inputs that do not fit the criteria for accelerate?
+Luckily, we can always just direct back to <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval()</span></code>.</p>
+<p>With this in mind, lets finally implement our <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_cpu()</span></code>.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/** Evaluate primitive on CPU using accelerate specializations */</span>
+<span class="kt">void</span><span class="w"> </span><span class="nf">Axpby::eval_cpu</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="n">assert</span><span class="p">(</span><span class="n">inputs</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inputs</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inputs</span><span class="p">[</span><span class="mi">1</span><span class="p">];</span>
+
+<span class="w">    </span><span class="c1">// Accelerate specialization for contiguous single precision float arrays</span>
+<span class="w">    </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">dtype</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">float32</span><span class="w"> </span><span class="o">&amp;&amp;</span>
+<span class="w">        </span><span class="p">((</span><span class="n">x</span><span class="p">.</span><span class="n">flags</span><span class="p">().</span><span class="n">row_contiguous</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">.</span><span class="n">flags</span><span class="p">().</span><span class="n">row_contiguous</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
+<span class="w">        </span><span class="p">(</span><span class="n">x</span><span class="p">.</span><span class="n">flags</span><span class="p">().</span><span class="n">col_contiguous</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">y</span><span class="p">.</span><span class="n">flags</span><span class="p">().</span><span class="n">col_contiguous</span><span class="p">)))</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="n">axpby_impl_accelerate</span><span class="o">&lt;</span><span class="kt">float</span><span class="o">&gt;</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="n">beta_</span><span class="p">);</span>
+<span class="w">        </span><span class="k">return</span><span class="p">;</span>
+<span class="w">    </span><span class="p">}</span>
+
+<span class="w">    </span><span class="c1">// Fall back to common backend if specializations are not available</span>
+<span class="w">    </span><span class="n">eval</span><span class="p">(</span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>We have now hit a milestone! Just this much is enough to run the operation
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">axpby()</span></code> on a CPU stream!</p>
+<p>If you do not plan on running the operation on the GPU or using transforms on
+computation graphs that contain <code class="xref py py-class docutils literal notranslate"><span class="pre">Axpby</span></code>, you can stop implementing the
+primitive here and enjoy the speed-ups you get from the Accelerate library.</p>
+</section>
+<section id="implementing-the-gpu-backend">
+<h3>Implementing the GPU Backend<a class="headerlink" href="#implementing-the-gpu-backend" title="Permalink to this heading"></a></h3>
+<p>Apple silicon devices address their GPUs using the <a class="reference external" href="https://developer.apple.com/documentation/metal?language=objc">Metal</a> shading language, and
+all GPU kernels in MLX are written using metal.</p>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p>Here are some helpful resources if you are new to metal!</p>
+<ul class="simple">
+<li><p>A walkthrough of the metal compute pipeline: <a class="reference external" href="https://developer.apple.com/documentation/metal/performing_calculations_on_a_gpu?language=objc">Metal Example</a></p></li>
+<li><p>Documentation for metal shading language: <a class="reference external" href="https://developer.apple.com/metal/Metal-Shading-Language-Specification.pdf">Metal Specification</a></p></li>
+<li><p>Using metal from C++: <a class="reference external" href="https://developer.apple.com/metal/cpp/">Metal-cpp</a></p></li>
+</ul>
+</div>
+<p>Let’s keep the GPU algorithm simple. We will launch exactly as many threads
+as there are elements in the output. Each thread will pick the element it needs
+from <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code>, do the pointwise operation, and then update its assigned
+element in the output.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="k">template</span><span class="w"> </span><span class="o">&lt;</span><span class="k">typename</span><span class="w"> </span><span class="nc">T</span><span class="o">&gt;</span>
+<span class="p">[[</span><span class="n">kernel</span><span class="p">]]</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">axpby_general</span><span class="p">(</span>
+<span class="w">        </span><span class="n">device</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">0</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">device</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">1</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">device</span><span class="w"> </span><span class="n">T</span><span class="o">*</span><span class="w"> </span><span class="n">out</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">2</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">constant</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="o">&amp;</span><span class="w"> </span><span class="n">alpha</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">3</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">constant</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">float</span><span class="o">&amp;</span><span class="w"> </span><span class="n">beta</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">4</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">constant</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">int</span><span class="o">*</span><span class="w"> </span><span class="n">shape</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">5</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">constant</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">size_t</span><span class="o">*</span><span class="w"> </span><span class="n">x_strides</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">6</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">constant</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">size_t</span><span class="o">*</span><span class="w"> </span><span class="n">y_strides</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">7</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">constant</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="kt">int</span><span class="o">&amp;</span><span class="w"> </span><span class="n">ndim</span><span class="w"> </span><span class="p">[[</span><span class="n">buffer</span><span class="p">(</span><span class="mi">8</span><span class="p">)]],</span>
+<span class="w">        </span><span class="n">uint</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="p">[[</span><span class="n">thread_position_in_grid</span><span class="p">]])</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Convert linear indices to offsets in array</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">x_offset</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">elem_to_loc</span><span class="p">(</span><span class="n">index</span><span class="p">,</span><span class="w"> </span><span class="n">shape</span><span class="p">,</span><span class="w"> </span><span class="n">x_strides</span><span class="p">,</span><span class="w"> </span><span class="n">ndim</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">y_offset</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">elem_to_loc</span><span class="p">(</span><span class="n">index</span><span class="p">,</span><span class="w"> </span><span class="n">shape</span><span class="p">,</span><span class="w"> </span><span class="n">y_strides</span><span class="p">,</span><span class="w"> </span><span class="n">ndim</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Do the operation and update the output</span>
+<span class="w">    </span><span class="n">out</span><span class="p">[</span><span class="n">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span>
+<span class="w">        </span><span class="k">static_cast</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">(</span><span class="n">alpha</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">x</span><span class="p">[</span><span class="n">x_offset</span><span class="p">]</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="k">static_cast</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="p">(</span><span class="n">beta</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">y</span><span class="p">[</span><span class="n">y_offset</span><span class="p">];</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>We then need to instantiate this template for all floating point types and give
+each instantiation a unique host name so we can identify the right kernel for
+each data type.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cp">#define instantiate_axpby(type_name, type)              \</span>
+<span class="cp">    template [[host_name(&quot;axpby_general_&quot; #type_name)]] \</span>
+<span class="cp">    [[kernel]] void axpby_general&lt;type&gt;(                \</span>
+<span class="cp">        device const type* x [[buffer(0)]],             \</span>
+<span class="cp">        device const type* y [[buffer(1)]],             \</span>
+<span class="cp">        device type* out [[buffer(2)]],                 \</span>
+<span class="cp">        constant const float&amp; alpha [[buffer(3)]],      \</span>
+<span class="cp">        constant const float&amp; beta [[buffer(4)]],       \</span>
+<span class="cp">        constant const int* shape [[buffer(5)]],        \</span>
+<span class="cp">        constant const size_t* x_strides [[buffer(6)]], \</span>
+<span class="cp">        constant const size_t* y_strides [[buffer(7)]], \</span>
+<span class="cp">        constant const int&amp; ndim [[buffer(8)]],         \</span>
+<span class="cp">        uint index [[thread_position_in_grid]]);</span>
+
+<span class="n">instantiate_axpby</span><span class="p">(</span><span class="n">float32</span><span class="p">,</span><span class="w"> </span><span class="kt">float</span><span class="p">);</span>
+<span class="n">instantiate_axpby</span><span class="p">(</span><span class="n">float16</span><span class="p">,</span><span class="w"> </span><span class="n">half</span><span class="p">);</span>
+<span class="n">instantiate_axpby</span><span class="p">(</span><span class="n">bflot16</span><span class="p">,</span><span class="w"> </span><span class="n">bfloat16_t</span><span class="p">);</span>
+<span class="n">instantiate_axpby</span><span class="p">(</span><span class="n">complex64</span><span class="p">,</span><span class="w"> </span><span class="n">complex64_t</span><span class="p">);</span>
+</pre></div>
+</div>
+<p>This kernel will be compiled into a metal library <code class="docutils literal notranslate"><span class="pre">mlx_ext.metallib</span></code> as we
+will see later in <a class="reference internal" href="#building-with-cmake"><span class="std std-ref">Building with CMake</span></a>. In the following example, we
+assume that the library <code class="docutils literal notranslate"><span class="pre">mlx_ext.metallib</span></code> will always be co-located with
+the executable/ shared-library calling the <code class="xref py py-meth docutils literal notranslate"><span class="pre">register_library()</span></code> function.
+The <code class="xref py py-meth docutils literal notranslate"><span class="pre">register_library()</span></code> function takes the library’s name and potential
+path (or in this case, a function that can produce the path of the metal
+library) and tries to load that library if it hasn’t already been registered
+by the relevant static <code class="xref py py-class docutils literal notranslate"><span class="pre">mlx::core::metal::Device</span></code> object. This is why,
+it is important to package your C++ library with the metal library. We will
+go over this process in more detail later.</p>
+<p>The logic to determine the kernel, set the inputs, resolve the grid dimensions
+and dispatch it to the GPU are contained in <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::eval_gpu()</span></code> as shown
+below.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/** Evaluate primitive on GPU */</span>
+<span class="kt">void</span><span class="w"> </span><span class="nf">Axpby::eval_gpu</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">out</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Prepare inputs</span>
+<span class="w">    </span><span class="n">assert</span><span class="p">(</span><span class="n">inputs</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inputs</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inputs</span><span class="p">[</span><span class="mi">1</span><span class="p">];</span>
+
+<span class="w">    </span><span class="c1">// Each primitive carries the stream it should execute on</span>
+<span class="w">    </span><span class="c1">// and each stream carries its device identifiers</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">s</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">stream</span><span class="p">();</span>
+<span class="w">    </span><span class="c1">// We get the needed metal device using the stream</span>
+<span class="w">    </span><span class="k">auto</span><span class="o">&amp;</span><span class="w"> </span><span class="n">d</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">metal</span><span class="o">::</span><span class="n">device</span><span class="p">(</span><span class="n">s</span><span class="p">.</span><span class="n">device</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Allocate output memory</span>
+<span class="w">    </span><span class="n">out</span><span class="p">.</span><span class="n">set_data</span><span class="p">(</span><span class="n">allocator</span><span class="o">::</span><span class="n">malloc_or_wait</span><span class="p">(</span><span class="n">out</span><span class="p">.</span><span class="n">nbytes</span><span class="p">()));</span>
+
+<span class="w">    </span><span class="c1">// Resolve name of kernel (corresponds to axpby.metal)</span>
+<span class="w">    </span><span class="n">std</span><span class="o">::</span><span class="n">ostringstream</span><span class="w"> </span><span class="n">kname</span><span class="p">;</span>
+<span class="w">    </span><span class="n">kname</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="s">&quot;axpby_&quot;</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="s">&quot;general_&quot;</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">type_to_name</span><span class="p">(</span><span class="n">out</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Make sure the metal library is available and look for it</span>
+<span class="w">    </span><span class="c1">// in the same folder as this executable if needed</span>
+<span class="w">    </span><span class="n">d</span><span class="p">.</span><span class="n">register_library</span><span class="p">(</span><span class="s">&quot;mlx_ext&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">metal</span><span class="o">::</span><span class="n">get_colocated_mtllib_path</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Make a kernel from this metal library</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">kernel</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">d</span><span class="p">.</span><span class="n">get_kernel</span><span class="p">(</span><span class="n">kname</span><span class="p">.</span><span class="n">str</span><span class="p">(),</span><span class="w"> </span><span class="s">&quot;mlx_ext&quot;</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Prepare to encode kernel</span>
+<span class="w">    </span><span class="k">auto</span><span class="w"> </span><span class="n">compute_encoder</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">d</span><span class="p">.</span><span class="n">get_command_encoder</span><span class="p">(</span><span class="n">s</span><span class="p">.</span><span class="n">index</span><span class="p">);</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setComputePipelineState</span><span class="p">(</span><span class="n">kernel</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Kernel parameters are registered with buffer indices corresponding to</span>
+<span class="w">    </span><span class="c1">// those in the kernel decelaration at axpby.metal</span>
+<span class="w">    </span><span class="kt">int</span><span class="w"> </span><span class="n">ndim</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">ndim</span><span class="p">();</span>
+<span class="w">    </span><span class="kt">size_t</span><span class="w"> </span><span class="n">nelem</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">out</span><span class="p">.</span><span class="n">size</span><span class="p">();</span>
+
+<span class="w">    </span><span class="c1">// Encode input arrays to kernel</span>
+<span class="w">    </span><span class="n">set_array_buffer</span><span class="p">(</span><span class="n">compute_encoder</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">);</span>
+<span class="w">    </span><span class="n">set_array_buffer</span><span class="p">(</span><span class="n">compute_encoder</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Encode output arrays to kernel</span>
+<span class="w">    </span><span class="n">set_array_buffer</span><span class="p">(</span><span class="n">compute_encoder</span><span class="p">,</span><span class="w"> </span><span class="n">out</span><span class="p">,</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Encode alpha and beta</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setBytes</span><span class="p">(</span><span class="o">&amp;</span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">float</span><span class="p">),</span><span class="w"> </span><span class="mi">3</span><span class="p">);</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setBytes</span><span class="p">(</span><span class="o">&amp;</span><span class="n">beta_</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">float</span><span class="p">),</span><span class="w"> </span><span class="mi">4</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Encode shape, strides and ndim</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setBytes</span><span class="p">(</span><span class="n">x</span><span class="p">.</span><span class="n">shape</span><span class="p">().</span><span class="n">data</span><span class="p">(),</span><span class="w"> </span><span class="n">ndim</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">),</span><span class="w"> </span><span class="mi">5</span><span class="p">);</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setBytes</span><span class="p">(</span><span class="n">x</span><span class="p">.</span><span class="n">strides</span><span class="p">().</span><span class="n">data</span><span class="p">(),</span><span class="w"> </span><span class="n">ndim</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">size_t</span><span class="p">),</span><span class="w"> </span><span class="mi">6</span><span class="p">);</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setBytes</span><span class="p">(</span><span class="n">y</span><span class="p">.</span><span class="n">strides</span><span class="p">().</span><span class="n">data</span><span class="p">(),</span><span class="w"> </span><span class="n">ndim</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">size_t</span><span class="p">),</span><span class="w"> </span><span class="mi">7</span><span class="p">);</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">setBytes</span><span class="p">(</span><span class="o">&amp;</span><span class="n">ndim</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">),</span><span class="w"> </span><span class="mi">8</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// We launch 1 thread for each input and make sure that the number of</span>
+<span class="w">    </span><span class="c1">// threads in any given threadgroup is not higher than the max allowed</span>
+<span class="w">    </span><span class="kt">size_t</span><span class="w"> </span><span class="n">tgp_size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">min</span><span class="p">(</span><span class="n">nelem</span><span class="p">,</span><span class="w"> </span><span class="n">kernel</span><span class="o">-&gt;</span><span class="n">maxTotalThreadsPerThreadgroup</span><span class="p">());</span>
+
+<span class="w">    </span><span class="c1">// Fix the 3D size of each threadgroup (in terms of threads)</span>
+<span class="w">    </span><span class="n">MTL</span><span class="o">::</span><span class="n">Size</span><span class="w"> </span><span class="n">group_dims</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">MTL</span><span class="o">::</span><span class="n">Size</span><span class="p">(</span><span class="n">tgp_size</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Fix the 3D size of the launch grid (in terms of threads)</span>
+<span class="w">    </span><span class="n">MTL</span><span class="o">::</span><span class="n">Size</span><span class="w"> </span><span class="n">grid_dims</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">MTL</span><span class="o">::</span><span class="n">Size</span><span class="p">(</span><span class="n">nelem</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
+
+<span class="w">    </span><span class="c1">// Launch the grid with the given number of threads divded among</span>
+<span class="w">    </span><span class="c1">// the given threadgroups</span>
+<span class="w">    </span><span class="n">compute_encoder</span><span class="o">-&gt;</span><span class="n">dispatchThreads</span><span class="p">(</span><span class="n">grid_dims</span><span class="p">,</span><span class="w"> </span><span class="n">group_dims</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>We can now call the <code class="xref py py-meth docutils literal notranslate"><span class="pre">axpby()</span></code> operation on both the CPU and the GPU!</p>
+<p>A few things to note about MLX and metal before moving on. MLX keeps track
+of the active <code class="docutils literal notranslate"><span class="pre">compute_encoder</span></code>. We rely on <code class="xref py py-meth docutils literal notranslate"><span class="pre">d.get_command_encoder()</span></code>
+to give us the active metal compute command encoder instead of building a
+new one and calling <code class="xref py py-meth docutils literal notranslate"><span class="pre">compute_encoder-&gt;end_encoding()</span></code> at the end.
+MLX keeps adding kernels (compute pipelines) to the active command encoder
+until some specified limit is hit or the compute encoder needs to be flushed
+for synchronization. MLX also handles enqueuing and commiting the associated
+command buffers as needed. We suggest taking a deeper dive into
+<code class="xref py py-class docutils literal notranslate"><span class="pre">metal::Device</span></code> if you would like to study this routine further.</p>
+</section>
+<section id="primitive-transforms">
+<h3>Primitive Transforms<a class="headerlink" href="#primitive-transforms" title="Permalink to this heading"></a></h3>
+<p>Now that we have come this far, let’s also learn how to add implementations to
+transformations in a <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code>. These transformations can be built on
+top of our operations, including the one we just defined now. Which then gives
+us the following <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::jvp()</span></code> and <code class="xref py py-meth docutils literal notranslate"><span class="pre">Axpby::vjp()</span></code> implementations.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/** The Jacobian-vector product. */</span>
+<span class="n">array</span><span class="w"> </span><span class="nf">Axpby::jvp</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">primals</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">tangents</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">argnums</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Forward mode diff that pushes along the tangents</span>
+<span class="w">    </span><span class="c1">// The jvp transform on the the primitive can built with ops</span>
+<span class="w">    </span><span class="c1">// that are scheduled on the same stream as the primtive</span>
+
+<span class="w">    </span><span class="c1">// If argnums = {0}, we only push along x in which case the</span>
+<span class="w">    </span><span class="c1">// jvp is just the tangent scaled by alpha</span>
+<span class="w">    </span><span class="c1">// Similarly, if argnums = {1}, the jvp is just the tangent</span>
+<span class="w">    </span><span class="c1">// scaled by beta</span>
+<span class="w">    </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">argnums</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="n">scale</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">argnums</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">?</span><span class="w"> </span><span class="n">alpha_</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">beta_</span><span class="p">;</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="n">scale_arr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">array</span><span class="p">(</span><span class="n">scale</span><span class="p">,</span><span class="w"> </span><span class="n">tangents</span><span class="p">[</span><span class="mi">0</span><span class="p">].</span><span class="n">dtype</span><span class="p">());</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">multiply</span><span class="p">(</span><span class="n">scale_arr</span><span class="p">,</span><span class="w"> </span><span class="n">tangents</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">stream</span><span class="p">());</span>
+<span class="w">    </span><span class="p">}</span>
+<span class="w">    </span><span class="c1">// If, argnums = {0, 1}, we take contributions from both</span>
+<span class="w">    </span><span class="c1">// which gives us jvp = tangent_x * alpha + tangent_y * beta</span>
+<span class="w">    </span><span class="k">else</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">axpby</span><span class="p">(</span><span class="n">tangents</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">tangents</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span><span class="w"> </span><span class="n">alpha_</span><span class="p">,</span><span class="w"> </span><span class="n">beta_</span><span class="p">,</span><span class="w"> </span><span class="n">stream</span><span class="p">());</span>
+<span class="w">    </span><span class="p">}</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/** The vector-Jacobian product. */</span>
+<span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;</span><span class="w"> </span><span class="n">Axpby</span><span class="o">::</span><span class="n">vjp</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">primals</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">array</span><span class="o">&amp;</span><span class="w"> </span><span class="n">cotan</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">argnums</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="c1">// Reverse mode diff</span>
+<span class="w">    </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;</span><span class="w"> </span><span class="n">vjps</span><span class="p">;</span>
+<span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="k">auto</span><span class="w"> </span><span class="n">arg</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">argnums</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="n">scale</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">arg</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">?</span><span class="w"> </span><span class="n">alpha_</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">beta_</span><span class="p">;</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="n">scale_arr</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">array</span><span class="p">(</span><span class="n">scale</span><span class="p">,</span><span class="w"> </span><span class="n">cotan</span><span class="p">.</span><span class="n">dtype</span><span class="p">());</span>
+<span class="w">        </span><span class="n">vjps</span><span class="p">.</span><span class="n">push_back</span><span class="p">(</span><span class="n">multiply</span><span class="p">(</span><span class="n">scale_arr</span><span class="p">,</span><span class="w"> </span><span class="n">cotan</span><span class="p">,</span><span class="w"> </span><span class="n">stream</span><span class="p">()));</span>
+<span class="w">    </span><span class="p">}</span>
+<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="n">vjps</span><span class="p">;</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>Finally, you need not have a transformation fully defined to start using your
+own <code class="xref py py-class docutils literal notranslate"><span class="pre">Primitive</span></code>.</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="cm">/** Vectorize primitve along given axis */</span>
+<span class="n">std</span><span class="o">::</span><span class="n">pair</span><span class="o">&lt;</span><span class="n">array</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="o">&gt;</span><span class="w"> </span><span class="n">Axpby</span><span class="o">::</span><span class="n">vmap</span><span class="p">(</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="n">array</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">inputs</span><span class="p">,</span>
+<span class="w">        </span><span class="k">const</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">axes</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="k">throw</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">runtime_error</span><span class="p">(</span><span class="s">&quot;Axpby has no vmap implementation.&quot;</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+</section>
+</section>
+<section id="building-and-binding">
+<h2>Building and Binding<a class="headerlink" href="#building-and-binding" title="Permalink to this heading"></a></h2>
+<p>Let’s look at the overall directory structure first.</p>
+<div class="line-block">
+<div class="line">extensions</div>
+<div class="line">├── axpby</div>
+<div class="line">│   ├── axpby.cpp</div>
+<div class="line">│   ├── axpby.h</div>
+<div class="line">│   └── axpby.metal</div>
+<div class="line">├── mlx_sample_extensions</div>
+<div class="line">│   └── __init__.py</div>
+<div class="line">├── bindings.cpp</div>
+<div class="line">├── CMakeLists.txt</div>
+<div class="line">└── setup.py</div>
+</div>
+<ul class="simple">
+<li><p><code class="docutils literal notranslate"><span class="pre">extensions/axpby/</span></code> defines the C++ extension library</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">extensions/mlx_sample_extensions</span></code> sets out the strucutre for the
+associated python package</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">extensions/bindings.cpp</span></code> provides python bindings for our operation</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">extensions/CMakeLists.txt</span></code> holds CMake rules to build the library and
+python bindings</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">extensions/setup.py</span></code> holds the <code class="docutils literal notranslate"><span class="pre">setuptools</span></code> rules to build and install
+the python package</p></li>
+</ul>
+<section id="binding-to-python">
+<h3>Binding to Python<a class="headerlink" href="#binding-to-python" title="Permalink to this heading"></a></h3>
+<p>We use <a class="reference external" href="https://pybind11.readthedocs.io/en/stable/">PyBind11</a> to build a Python API for the C++ library. Since bindings
+for all needed components such as <cite>mlx.core.array</cite>, <cite>mlx.core.stream</cite>, etc.
+are already provided, adding our <code class="xref py py-meth docutils literal notranslate"><span class="pre">axpby()</span></code> becomes very simple!</p>
+<div class="highlight-C++ notranslate"><div class="highlight"><pre><span></span><span class="n">PYBIND11_MODULE</span><span class="p">(</span><span class="n">mlx_sample_extensions</span><span class="p">,</span><span class="w"> </span><span class="n">m</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="n">m</span><span class="p">.</span><span class="n">doc</span><span class="p">()</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="s">&quot;Sample C++ and metal extensions for MLX&quot;</span><span class="p">;</span>
+
+<span class="w">    </span><span class="n">m</span><span class="p">.</span><span class="n">def</span><span class="p">(</span>
+<span class="w">        </span><span class="s">&quot;axpby&quot;</span><span class="p">,</span>
+<span class="w">        </span><span class="o">&amp;</span><span class="n">axpby</span><span class="p">,</span>
+<span class="w">        </span><span class="s">&quot;x&quot;</span><span class="n">_a</span><span class="p">,</span>
+<span class="w">        </span><span class="s">&quot;y&quot;</span><span class="n">_a</span><span class="p">,</span>
+<span class="w">        </span><span class="n">py</span><span class="o">::</span><span class="n">pos_only</span><span class="p">(),</span>
+<span class="w">        </span><span class="s">&quot;alpha&quot;</span><span class="n">_a</span><span class="p">,</span>
+<span class="w">        </span><span class="s">&quot;beta&quot;</span><span class="n">_a</span><span class="p">,</span>
+<span class="w">        </span><span class="n">py</span><span class="o">::</span><span class="n">kw_only</span><span class="p">(),</span>
+<span class="w">        </span><span class="s">&quot;stream&quot;</span><span class="n">_a</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">py</span><span class="o">::</span><span class="n">none</span><span class="p">(),</span>
+<span class="w">        </span><span class="sa">R</span><span class="s">&quot;</span><span class="dl">pbdoc(</span>
+<span class="s">            Scale and sum two vectors elementwise</span>
+<span class="s">            ``z = alpha * x + beta * y``</span>
+
+<span class="s">            Follows numpy style broadcasting between ``x`` and ``y``</span>
+<span class="s">            Inputs are upcasted to floats if needed</span>
+
+<span class="s">            Args:</span>
+<span class="s">                x (array): Input array.</span>
+<span class="s">                y (array): Input array.</span>
+<span class="s">                alpha (float): Scaling factor for ``x``.</span>
+<span class="s">                beta (float): Scaling factor for ``y``.</span>
+
+<span class="s">            Returns:</span>
+<span class="s">                array: ``alpha * x + beta * y``</span>
+<span class="s">        </span><span class="dl">)pbdoc</span><span class="s">&quot;</span><span class="p">);</span>
+<span class="p">}</span>
+</pre></div>
+</div>
+<p>Most of the complexity in the above example comes from additional bells and
+whistles such as the literal names and doc-strings.</p>
+<div class="admonition warning">
+<p class="admonition-title">Warning</p>
+<p><code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.core</span></code> needs to be imported before importing
+<code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx_sample_extensions</span></code> as defined by the pybind11 module above to
+ensure that the casters for <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.core</span></code> components like
+<a class="reference internal" href="../python/_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> are available.</p>
+</div>
+</section>
+<section id="building-with-cmake">
+<span id="id1"></span><h3>Building with CMake<a class="headerlink" href="#building-with-cmake" title="Permalink to this heading"></a></h3>
+<p>Building the C++ extension library itself is simple, it only requires that you
+<code class="docutils literal notranslate"><span class="pre">find_package(MLX</span> <span class="pre">CONFIG)</span></code> and then link it to your library.</p>
+<div class="highlight-cmake notranslate"><div class="highlight"><pre><span></span><span class="c"># Add library</span>
+<span class="nb">add_library</span><span class="p">(</span><span class="s">mlx_ext</span><span class="p">)</span>
+
+<span class="c"># Add sources</span>
+<span class="nb">target_sources</span><span class="p">(</span>
+<span class="w">    </span><span class="s">mlx_ext</span>
+<span class="w">    </span><span class="s">PUBLIC</span>
+<span class="w">    </span><span class="o">${</span><span class="nv">CMAKE_CURRENT_LIST_DIR</span><span class="o">}</span><span class="s">/axpby/axpby.cpp</span>
+<span class="p">)</span>
+
+<span class="c"># Add include headers</span>
+<span class="nb">target_include_directories</span><span class="p">(</span>
+<span class="w">    </span><span class="s">mlx_ext</span><span class="w"> </span><span class="s">PUBLIC</span><span class="w"> </span><span class="o">${</span><span class="nv">CMAKE_CURRENT_LIST_DIR</span><span class="o">}</span>
+<span class="p">)</span>
+
+<span class="c"># Link to mlx</span>
+<span class="nb">target_link_libraries</span><span class="p">(</span><span class="s">mlx_ext</span><span class="w"> </span><span class="s">PUBLIC</span><span class="w"> </span><span class="s">mlx</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>We also need to build the attached metal library. For convenience, we provide a
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx_build_metallib()</span></code> function that builds a <code class="docutils literal notranslate"><span class="pre">.metallib</span></code> target given
+sources, headers, destinations, etc. (defined in <code class="docutils literal notranslate"><span class="pre">cmake/extension.cmake</span></code> and
+automatically imported with MLX package).</p>
+<p>Here is what that looks like in practice!</p>
+<div class="highlight-cmake notranslate"><div class="highlight"><pre><span></span><span class="c"># Build metallib</span>
+<span class="nb">if</span><span class="p">(</span><span class="s">MLX_BUILD_METAL</span><span class="p">)</span>
+
+<span class="nb">mlx_build_metallib</span><span class="p">(</span>
+<span class="w">    </span><span class="s">TARGET</span><span class="w"> </span><span class="s">mlx_ext_metallib</span>
+<span class="w">    </span><span class="s">TITLE</span><span class="w"> </span><span class="s">mlx_ext</span>
+<span class="w">    </span><span class="s">SOURCES</span><span class="w"> </span><span class="o">${</span><span class="nv">CMAKE_CURRENT_LIST_DIR</span><span class="o">}</span><span class="s">/axpby/axpby.metal</span>
+<span class="w">    </span><span class="s">INCLUDE_DIRS</span><span class="w"> </span><span class="o">${</span><span class="nv">PROJECT_SOURCE_DIR</span><span class="o">}</span><span class="w"> </span><span class="o">${</span><span class="nv">MLX_INCLUDE_DIRS</span><span class="o">}</span>
+<span class="w">    </span><span class="s">OUTPUT_DIRECTORY</span><span class="w"> </span><span class="o">${</span><span class="nv">CMAKE_LIBRARY_OUTPUT_DIRECTORY</span><span class="o">}</span>
+<span class="p">)</span>
+
+<span class="nb">add_dependencies</span><span class="p">(</span>
+<span class="w">    </span><span class="s">mlx_ext</span>
+<span class="w">    </span><span class="s">mlx_ext_metallib</span>
+<span class="p">)</span>
+
+<span class="nb">endif</span><span class="p">()</span>
+</pre></div>
+</div>
+<p>Finally, we build the <a class="reference external" href="https://pybind11.readthedocs.io/en/stable/">Pybind11</a> bindings</p>
+<div class="highlight-cmake notranslate"><div class="highlight"><pre><span></span><span class="nb">pybind11_add_module</span><span class="p">(</span>
+<span class="w">    </span><span class="s">mlx_sample_extensions</span>
+<span class="w">    </span><span class="o">${</span><span class="nv">CMAKE_CURRENT_LIST_DIR</span><span class="o">}</span><span class="s">/bindings.cpp</span>
+<span class="p">)</span>
+<span class="nb">target_link_libraries</span><span class="p">(</span><span class="s">mlx_sample_extensions</span><span class="w"> </span><span class="s">PRIVATE</span><span class="w"> </span><span class="s">mlx_ext</span><span class="p">)</span>
+
+<span class="nb">if</span><span class="p">(</span><span class="s">BUILD_SHARED_LIBS</span><span class="p">)</span>
+<span class="w">    </span><span class="nb">target_link_options</span><span class="p">(</span><span class="s">mlx_sample_extensions</span><span class="w"> </span><span class="s">PRIVATE</span><span class="w"> </span><span class="s">-Wl,-rpath,@loader_path</span><span class="p">)</span>
+<span class="nb">endif</span><span class="p">()</span>
+</pre></div>
+</div>
+</section>
+<section id="building-with-setuptools">
+<h3>Building with <code class="docutils literal notranslate"><span class="pre">setuptools</span></code><a class="headerlink" href="#building-with-setuptools" title="Permalink to this heading"></a></h3>
+<p>Once we have set out the CMake build rules as described above, we can use the
+build utilities defined in <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.extension</span></code> for a simple build process.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">mlx</span> <span class="kn">import</span> <span class="n">extension</span>
+<span class="kn">from</span> <span class="nn">setuptools</span> <span class="kn">import</span> <span class="n">setup</span>
+
+<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s2">&quot;__main__&quot;</span><span class="p">:</span>
+    <span class="n">setup</span><span class="p">(</span>
+        <span class="n">name</span><span class="o">=</span><span class="s2">&quot;mlx_sample_extensions&quot;</span><span class="p">,</span>
+        <span class="n">version</span><span class="o">=</span><span class="s2">&quot;0.0.0&quot;</span><span class="p">,</span>
+        <span class="n">description</span><span class="o">=</span><span class="s2">&quot;Sample C++ and Metal extensions for MLX primitives.&quot;</span><span class="p">,</span>
+        <span class="n">ext_modules</span><span class="o">=</span><span class="p">[</span><span class="n">extension</span><span class="o">.</span><span class="n">CMakeExtension</span><span class="p">(</span><span class="s2">&quot;mlx_sample_extensions&quot;</span><span class="p">)],</span>
+        <span class="n">cmdclass</span><span class="o">=</span><span class="p">{</span><span class="s2">&quot;build_ext&quot;</span><span class="p">:</span> <span class="n">extension</span><span class="o">.</span><span class="n">CMakeBuild</span><span class="p">},</span>
+        <span class="n">packages</span> <span class="o">=</span> <span class="p">[</span><span class="s2">&quot;mlx_sample_extensions&quot;</span><span class="p">],</span>
+        <span class="n">package_dir</span> <span class="o">=</span> <span class="p">{</span><span class="s2">&quot;&quot;</span><span class="p">:</span> <span class="s2">&quot;mlx_sample_extensions&quot;</span><span class="p">},</span>
+        <span class="n">package_data</span> <span class="o">=</span> <span class="p">{</span><span class="s2">&quot;mlx_sample_extensions&quot;</span> <span class="p">:</span> <span class="p">[</span><span class="s2">&quot;*.so&quot;</span><span class="p">,</span> <span class="s2">&quot;*.dylib&quot;</span><span class="p">,</span> <span class="s2">&quot;*.metallib&quot;</span><span class="p">]},</span>
+        <span class="n">zip_safe</span><span class="o">=</span><span class="kc">False</span><span class="p">,</span>
+        <span class="n">python_requires</span><span class="o">=</span><span class="s2">&quot;&gt;=3.7&quot;</span><span class="p">,</span>
+    <span class="p">)</span>
+</pre></div>
+</div>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p>We treat <code class="docutils literal notranslate"><span class="pre">extensions/mlx_sample_extensions</span></code> as the package directory
+even though it only contains a <code class="docutils literal notranslate"><span class="pre">__init__.py</span></code> to ensure the following:</p>
+<ul class="simple">
+<li><p><code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.core</span></code> is always imported before importing  <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx_sample_extensions</span></code></p></li>
+<li><p>The C++ extension library and the metal library are co-located with the python
+bindings and copied together if the package is installed</p></li>
+</ul>
+</div>
+<p>You can build inplace for development using
+<code class="docutils literal notranslate"><span class="pre">python</span> <span class="pre">setup.py</span> <span class="pre">build_ext</span> <span class="pre">-j8</span> <span class="pre">--inplace</span></code> (in <code class="docutils literal notranslate"><span class="pre">extensions/</span></code>)</p>
+<p>This will result in a directory structure as follows:</p>
+<div class="line-block">
+<div class="line">extensions</div>
+<div class="line">├── mlx_sample_extensions</div>
+<div class="line">│   ├── __init__.py</div>
+<div class="line">│   ├── libmlx_ext.dylib # C++ extension library</div>
+<div class="line">│   ├── mlx_ext.metallib # Metal library</div>
+<div class="line">│   └── mlx_sample_extensions.cpython-3x-darwin.so # Python Binding</div>
+<div class="line">…</div>
+</div>
+<p>When you try to install using the command <code class="docutils literal notranslate"><span class="pre">python</span> <span class="pre">-m</span> <span class="pre">pip</span> <span class="pre">install</span> <span class="pre">.</span></code>
+(in <code class="docutils literal notranslate"><span class="pre">extensions/</span></code>), the package will be installed with the same strucutre as
+<code class="docutils literal notranslate"><span class="pre">extensions/mlx_sample_extensions</span></code> and the C++ and metal library will be
+copied along with the python binding since they are specified as <code class="docutils literal notranslate"><span class="pre">package_data</span></code>.</p>
+</section>
+</section>
+<section id="usage">
+<h2>Usage<a class="headerlink" href="#usage" title="Permalink to this heading"></a></h2>
+<p>After installing the extension as described above, you should be able to simply
+import the python package and play with it as you would any other MLX operation!</p>
+<p>Let’s looks at a simple script and it’s results!</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="kn">from</span> <span class="nn">mlx_sample_extensions</span> <span class="kn">import</span> <span class="n">axpby</span>
+
+<span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">ones</span><span class="p">((</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
+<span class="n">b</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">ones</span><span class="p">((</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span>
+<span class="n">c</span> <span class="o">=</span> <span class="n">axpby</span><span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="n">stream</span><span class="o">=</span><span class="n">mx</span><span class="o">.</span><span class="n">cpu</span><span class="p">)</span>
+
+<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;c shape: </span><span class="si">{</span><span class="n">c</span><span class="o">.</span><span class="n">shape</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
+<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;c dtype: </span><span class="si">{</span><span class="n">c</span><span class="o">.</span><span class="n">dtype</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
+<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;c correctness: </span><span class="si">{</span><span class="n">mx</span><span class="o">.</span><span class="n">all</span><span class="p">(</span><span class="n">c</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mf">6.0</span><span class="p">)</span><span class="o">.</span><span class="n">item</span><span class="p">()</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Output:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">c</span> <span class="n">shape</span><span class="p">:</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">]</span>
+<span class="n">c</span> <span class="n">dtype</span><span class="p">:</span> <span class="n">float32</span>
+<span class="n">c</span> <span class="n">correctness</span><span class="p">:</span> <span class="kc">True</span>
+</pre></div>
+</div>
+<section id="results">
+<h3>Results<a class="headerlink" href="#results" title="Permalink to this heading"></a></h3>
+<p>Let’s run a quick benchmark and see how our new <code class="docutils literal notranslate"><span class="pre">axpby</span></code> operation compares
+with the naive <code class="xref py py-meth docutils literal notranslate"><span class="pre">simple_axpby()</span></code> we defined at first on the CPU.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="kn">from</span> <span class="nn">mlx_sample_extensions</span> <span class="kn">import</span> <span class="n">axpby</span>
+<span class="kn">import</span> <span class="nn">time</span>
+
+<span class="n">mx</span><span class="o">.</span><span class="n">set_default_device</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">cpu</span><span class="p">)</span>
+
+<span class="k">def</span> <span class="nf">simple_axpby</span><span class="p">(</span><span class="n">x</span><span class="p">:</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">,</span> <span class="n">y</span><span class="p">:</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">,</span> <span class="n">alpha</span><span class="p">:</span> <span class="nb">float</span><span class="p">,</span> <span class="n">beta</span><span class="p">:</span> <span class="nb">float</span><span class="p">)</span> <span class="o">-&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">:</span>
+    <span class="k">return</span> <span class="n">alpha</span> <span class="o">*</span> <span class="n">x</span> <span class="o">+</span> <span class="n">beta</span> <span class="o">*</span> <span class="n">y</span>
+
+<span class="n">M</span> <span class="o">=</span> <span class="mi">256</span>
+<span class="n">N</span> <span class="o">=</span> <span class="mi">512</span>
+
+<span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="n">M</span><span class="p">,</span> <span class="n">N</span><span class="p">))</span>
+<span class="n">y</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="n">M</span><span class="p">,</span> <span class="n">N</span><span class="p">))</span>
+<span class="n">alpha</span> <span class="o">=</span> <span class="mf">4.0</span>
+<span class="n">beta</span> <span class="o">=</span> <span class="mf">2.0</span>
+
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">((</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">))</span>
+
+<span class="k">def</span> <span class="nf">bench</span><span class="p">(</span><span class="n">f</span><span class="p">):</span>
+    <span class="c1"># Warm up</span>
+    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">100</span><span class="p">):</span>
+        <span class="n">z</span> <span class="o">=</span> <span class="n">f</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">alpha</span><span class="p">,</span> <span class="n">beta</span><span class="p">)</span>
+        <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">z</span><span class="p">)</span>
+
+    <span class="c1"># Timed run</span>
+    <span class="n">s</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span>
+    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">5000</span><span class="p">):</span>
+        <span class="n">z</span> <span class="o">=</span> <span class="n">f</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">alpha</span><span class="p">,</span> <span class="n">beta</span><span class="p">)</span>
+        <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">z</span><span class="p">)</span>
+    <span class="n">e</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">time</span><span class="p">()</span>
+    <span class="k">return</span> <span class="n">e</span> <span class="o">-</span> <span class="n">s</span>
+
+<span class="n">simple_time</span> <span class="o">=</span> <span class="n">bench</span><span class="p">(</span><span class="n">simple_axpby</span><span class="p">)</span>
+<span class="n">custom_time</span> <span class="o">=</span> <span class="n">bench</span><span class="p">(</span><span class="n">axpby</span><span class="p">)</span>
+
+<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Simple axpby: </span><span class="si">{</span><span class="n">simple_time</span><span class="si">:</span><span class="s2">.3f</span><span class="si">}</span><span class="s2"> s | Custom axpby: </span><span class="si">{</span><span class="n">custom_time</span><span class="si">:</span><span class="s2">.3f</span><span class="si">}</span><span class="s2"> s&quot;</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Results:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">Simple</span> <span class="n">axpby</span><span class="p">:</span> <span class="mf">0.114</span> <span class="n">s</span> <span class="o">|</span> <span class="n">Custom</span> <span class="n">axpby</span><span class="p">:</span> <span class="mf">0.109</span> <span class="n">s</span>
+</pre></div>
+</div>
+<p>We see some modest improvements right away!</p>
+<p>This operation is now good to be used to build other operations,
+in <a class="reference internal" href="../python/nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Module</span></code></a> calls, and also as a part of graph
+transformations such as <code class="xref py py-meth docutils literal notranslate"><span class="pre">grad()</span></code> and <code class="xref py py-meth docutils literal notranslate"><span class="pre">simplify()</span></code>!</p>
+</section>
+</section>
+<section id="scripts">
+<h2>Scripts<a class="headerlink" href="#scripts" title="Permalink to this heading"></a></h2>
+<div class="admonition-download-the-code admonition">
+<p class="admonition-title">Download the code</p>
+<p>The full example code is available in <a class="reference external" href="code">mlx-examples</a>.</p>
+</div>
+</section>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="../examples/llama-inference.html" class="btn btn-neutral float-left" title="LLM inference" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
+        <a href="../python/array.html" class="btn btn-neutral float-right" title="Array" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a>
+    </div>
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+             
+  <section id="linear-regression">
+<span id="id1"></span><h1>Linear Regression<a class="headerlink" href="#linear-regression" title="Permalink to this heading"></a></h1>
+<p>Let’s implement a basic linear regression model as a starting point to
+learn MLX. First import the core package and setup some problem metadata:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+
+<span class="n">num_features</span> <span class="o">=</span> <span class="mi">100</span>
+<span class="n">num_examples</span> <span class="o">=</span> <span class="mi">1_000</span>
+<span class="n">num_iters</span> <span class="o">=</span> <span class="mi">10_000</span>  <span class="c1"># iterations of SGD</span>
+<span class="n">lr</span> <span class="o">=</span> <span class="mf">0.01</span>  <span class="c1"># learning rate for SGD</span>
+</pre></div>
+</div>
+<p>We’ll generate a synthetic dataset by:</p>
+<ol class="arabic simple">
+<li><p>Sampling the design matrix <code class="docutils literal notranslate"><span class="pre">X</span></code>.</p></li>
+<li><p>Sampling a ground truth parameter vector <code class="docutils literal notranslate"><span class="pre">w_star</span></code>.</p></li>
+<li><p>Compute the dependent values <code class="docutils literal notranslate"><span class="pre">y</span></code> by adding Gaussian noise to <code class="docutils literal notranslate"><span class="pre">X</span> <span class="pre">&#64;</span> <span class="pre">w_star</span></code>.</p></li>
+</ol>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># True parameters</span>
+<span class="n">w_star</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="n">num_features</span><span class="p">,))</span>
+
+<span class="c1"># Input examples (design matrix)</span>
+<span class="n">X</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="n">num_examples</span><span class="p">,</span> <span class="n">num_features</span><span class="p">))</span>
+
+<span class="c1"># Noisy labels</span>
+<span class="n">eps</span> <span class="o">=</span> <span class="mf">1e-2</span> <span class="o">*</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="n">num_examples</span><span class="p">,))</span>
+<span class="n">y</span> <span class="o">=</span> <span class="n">X</span> <span class="o">@</span> <span class="n">w_star</span> <span class="o">+</span> <span class="n">eps</span>
+</pre></div>
+</div>
+<p>We will use SGD to find the optimal weights. To start, define the squared loss
+and get the gradient function of the loss with respect to the parameters.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">loss_fn</span><span class="p">(</span><span class="n">w</span><span class="p">):</span>
+    <span class="k">return</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="n">mx</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">square</span><span class="p">(</span><span class="n">X</span> <span class="o">@</span> <span class="n">w</span> <span class="o">-</span> <span class="n">y</span><span class="p">))</span>
+
+<span class="n">grad_fn</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">loss_fn</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Start the optimization by initializing the parameters <code class="docutils literal notranslate"><span class="pre">w</span></code> randomly. Then
+repeatedly update the parameters for <code class="docutils literal notranslate"><span class="pre">num_iters</span></code> iterations.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">w</span> <span class="o">=</span> <span class="mf">1e-2</span> <span class="o">*</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">normal</span><span class="p">((</span><span class="n">num_features</span><span class="p">,))</span>
+
+<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_iters</span><span class="p">):</span>
+    <span class="n">grad</span> <span class="o">=</span> <span class="n">grad_fn</span><span class="p">(</span><span class="n">w</span><span class="p">)</span>
+    <span class="n">w</span> <span class="o">=</span> <span class="n">w</span> <span class="o">-</span> <span class="n">lr</span> <span class="o">*</span> <span class="n">grad</span>
+    <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">w</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Finally, compute the loss of the learned parameters and verify that they are
+close to the ground truth parameters.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">loss</span> <span class="o">=</span> <span class="n">loss_fn</span><span class="p">(</span><span class="n">w</span><span class="p">)</span>
+<span class="n">error_norm</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">square</span><span class="p">(</span><span class="n">w</span> <span class="o">-</span> <span class="n">w_star</span><span class="p">))</span><span class="o">.</span><span class="n">item</span><span class="p">()</span> <span class="o">**</span> <span class="mf">0.5</span>
+
+<span class="nb">print</span><span class="p">(</span>
+    <span class="sa">f</span><span class="s2">&quot;Loss </span><span class="si">{</span><span class="n">loss</span><span class="o">.</span><span class="n">item</span><span class="p">()</span><span class="si">:</span><span class="s2">.5f</span><span class="si">}</span><span class="s2">, |w-w*| = </span><span class="si">{</span><span class="n">error_norm</span><span class="si">:</span><span class="s2">.5f</span><span class="si">}</span><span class="s2">, &quot;</span>
+<span class="p">)</span>
+<span class="c1"># Should print something close to: Loss 0.00005, |w-w*| = 0.00364</span>
+</pre></div>
+</div>
+<p>Complete <a class="reference external" href="https://github.com/ml-explore/mlx/tree/main/examples/python/linear_regression.py">linear regression</a>
+and <a class="reference external" href="https://github.com/ml-explore/mlx/tree/main/examples/python/logistic_regression.py">logistic regression</a>
+examples are available in the MLX GitHub repo.</p>
+</section>
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+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul class="current">
+<li class="toctree-l1"><a class="reference internal" href="linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1 current"><a class="current reference internal" href="#">LLM inference</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="#implementing-the-model">Implementing the model</a><ul>
+<li class="toctree-l3"><a class="reference internal" href="#attention-layer">Attention layer</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#encoder-layer">Encoder layer</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#full-model">Full model</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#generation">Generation</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#putting-it-all-together">Putting it all together</a></li>
+</ul>
+</li>
+<li class="toctree-l2"><a class="reference internal" href="#converting-the-weights">Converting the weights</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#weight-loading-and-benchmarking">Weight loading and benchmarking</a></li>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="llm-inference">
+<h1>LLM inference<a class="headerlink" href="#llm-inference" title="Permalink to this heading"></a></h1>
+<p>MLX enables efficient inference of large-ish transformers on Apple silicon
+without compromising on ease of use. In this example we will create an
+inference script for the Llama family of transformer models in which the model
+is defined in less than 200 lines of python.</p>
+<section id="implementing-the-model">
+<h2>Implementing the model<a class="headerlink" href="#implementing-the-model" title="Permalink to this heading"></a></h2>
+<p>We will use the neural network building blocks defined in the <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.nn</span></code>
+module to concisely define the model architecture.</p>
+<section id="attention-layer">
+<h3>Attention layer<a class="headerlink" href="#attention-layer" title="Permalink to this heading"></a></h3>
+<p>We will start with the llama attention layer which notably uses the RoPE
+positional encoding. <a class="footnote-reference brackets" href="#id5" id="id1" role="doc-noteref"><span class="fn-bracket">[</span>1<span class="fn-bracket">]</span></a> In addition, our attention layer will optionally use a
+key/value cache that will be concatenated with the provided keys and values to
+support efficient inference.</p>
+<p>Our implementation uses <a class="reference internal" href="../python/_autosummary/mlx.nn.Linear.html#mlx.nn.Linear" title="mlx.nn.Linear"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Linear</span></code></a> for all the projections and
+<a class="reference internal" href="../python/_autosummary/mlx.nn.RoPE.html#mlx.nn.RoPE" title="mlx.nn.RoPE"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.RoPE</span></code></a> for the positional encoding.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="kn">import</span> <span class="nn">mlx.nn</span> <span class="k">as</span> <span class="nn">nn</span>
+
+<span class="k">class</span> <span class="nc">LlamaAttention</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">num_heads</span> <span class="o">=</span> <span class="n">num_heads</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">rope</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">RoPE</span><span class="p">(</span><span class="n">dims</span> <span class="o">//</span> <span class="n">num_heads</span><span class="p">,</span> <span class="n">traditional</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">query_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">key_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">value_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+
+    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">queries</span><span class="p">,</span> <span class="n">keys</span><span class="p">,</span> <span class="n">values</span><span class="p">,</span> <span class="n">mask</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">cache</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
+        <span class="n">queries</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">query_proj</span><span class="p">(</span><span class="n">queries</span><span class="p">)</span>
+        <span class="n">keys</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">key_proj</span><span class="p">(</span><span class="n">keys</span><span class="p">)</span>
+        <span class="n">values</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">value_proj</span><span class="p">(</span><span class="n">values</span><span class="p">)</span>
+
+        <span class="c1"># Extract some shapes</span>
+        <span class="n">num_heads</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">num_heads</span>
+        <span class="n">B</span><span class="p">,</span> <span class="n">L</span><span class="p">,</span> <span class="n">D</span> <span class="o">=</span> <span class="n">queries</span><span class="o">.</span><span class="n">shape</span>
+
+        <span class="c1"># Prepare the queries, keys and values for the attention computation</span>
+        <span class="n">queries</span> <span class="o">=</span> <span class="n">queries</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">L</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
+        <span class="n">keys</span> <span class="o">=</span> <span class="n">keys</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">L</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
+        <span class="n">values</span> <span class="o">=</span> <span class="n">values</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">L</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
+
+        <span class="c1"># Add RoPE to the queries and keys and combine them with the cache</span>
+        <span class="k">if</span> <span class="n">cache</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
+            <span class="n">key_cache</span><span class="p">,</span> <span class="n">value_cache</span> <span class="o">=</span> <span class="n">cache</span>
+            <span class="n">queries</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">rope</span><span class="p">(</span><span class="n">queries</span><span class="p">,</span> <span class="n">offset</span><span class="o">=</span><span class="n">key_cache</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span>
+            <span class="n">keys</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">rope</span><span class="p">(</span><span class="n">keys</span><span class="p">,</span> <span class="n">offset</span><span class="o">=</span><span class="n">key_cache</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span>
+            <span class="n">keys</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">concatenate</span><span class="p">([</span><span class="n">key_cache</span><span class="p">,</span> <span class="n">keys</span><span class="p">],</span> <span class="n">axis</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
+            <span class="n">values</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">concatenate</span><span class="p">([</span><span class="n">value_cache</span><span class="p">,</span> <span class="n">values</span><span class="p">],</span> <span class="n">axis</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
+        <span class="k">else</span><span class="p">:</span>
+            <span class="n">queries</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">rope</span><span class="p">(</span><span class="n">queries</span><span class="p">)</span>
+            <span class="n">keys</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">rope</span><span class="p">(</span><span class="n">keys</span><span class="p">)</span>
+
+        <span class="c1"># Finally perform the attention computation</span>
+        <span class="n">scale</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="mi">1</span> <span class="o">/</span> <span class="n">queries</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span>
+        <span class="n">scores</span> <span class="o">=</span> <span class="p">(</span><span class="n">queries</span> <span class="o">*</span> <span class="n">scale</span><span class="p">)</span> <span class="o">@</span> <span class="n">keys</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
+        <span class="k">if</span> <span class="n">mask</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">:</span>
+            <span class="n">scores</span> <span class="o">=</span> <span class="n">scores</span> <span class="o">+</span> <span class="n">mask</span>
+        <span class="n">scores</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">softmax</span><span class="p">(</span><span class="n">scores</span><span class="p">,</span> <span class="n">axis</span><span class="o">=-</span><span class="mi">1</span><span class="p">)</span>
+        <span class="n">values_hat</span> <span class="o">=</span> <span class="p">(</span><span class="n">scores</span> <span class="o">@</span> <span class="n">values</span><span class="p">)</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">B</span><span class="p">,</span> <span class="n">L</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span>
+
+        <span class="c1"># Note that we return the keys and values to possibly be used as a cache</span>
+        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span><span class="p">(</span><span class="n">values_hat</span><span class="p">),</span> <span class="p">(</span><span class="n">keys</span><span class="p">,</span> <span class="n">values</span><span class="p">)</span>
+</pre></div>
+</div>
+</section>
+<section id="encoder-layer">
+<h3>Encoder layer<a class="headerlink" href="#encoder-layer" title="Permalink to this heading"></a></h3>
+<p>The other component of the Llama model is the encoder layer which uses RMS
+normalization <a class="footnote-reference brackets" href="#id6" id="id2" role="doc-noteref"><span class="fn-bracket">[</span>2<span class="fn-bracket">]</span></a> and SwiGLU. <a class="footnote-reference brackets" href="#id7" id="id3" role="doc-noteref"><span class="fn-bracket">[</span>3<span class="fn-bracket">]</span></a> For RMS normalization we will use
+<a class="reference internal" href="../python/_autosummary/mlx.nn.RMSNorm.html#mlx.nn.RMSNorm" title="mlx.nn.RMSNorm"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.RMSNorm</span></code></a> that is already provided in <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.nn</span></code>.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">LlamaEncoderLayer</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">mlp_dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">attention</span> <span class="o">=</span> <span class="n">LlamaAttention</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">)</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">norm1</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">RMSNorm</span><span class="p">(</span><span class="n">dims</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">norm2</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">RMSNorm</span><span class="p">(</span><span class="n">dims</span><span class="p">)</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">linear1</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">mlp_dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">linear2</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">mlp_dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">linear3</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">mlp_dims</span><span class="p">,</span> <span class="n">dims</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+
+    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">mask</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">cache</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
+        <span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">norm1</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="n">y</span><span class="p">,</span> <span class="n">cache</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">attention</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">mask</span><span class="p">,</span> <span class="n">cache</span><span class="p">)</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="n">x</span> <span class="o">+</span> <span class="n">y</span>
+
+        <span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">norm2</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="n">a</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">linear1</span><span class="p">(</span><span class="n">y</span><span class="p">)</span>
+        <span class="n">b</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">linear2</span><span class="p">(</span><span class="n">y</span><span class="p">)</span>
+        <span class="n">y</span> <span class="o">=</span> <span class="n">a</span> <span class="o">*</span> <span class="n">mx</span><span class="o">.</span><span class="n">sigmoid</span><span class="p">(</span><span class="n">a</span><span class="p">)</span> <span class="o">*</span> <span class="n">b</span>
+        <span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">linear3</span><span class="p">(</span><span class="n">y</span><span class="p">)</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="n">x</span> <span class="o">+</span> <span class="n">y</span>
+
+        <span class="k">return</span> <span class="n">x</span><span class="p">,</span> <span class="n">cache</span>
+</pre></div>
+</div>
+</section>
+<section id="full-model">
+<h3>Full model<a class="headerlink" href="#full-model" title="Permalink to this heading"></a></h3>
+<p>To implement any Llama model we simply have to combine <code class="docutils literal notranslate"><span class="pre">LlamaEncoderLayer</span></code>
+instances with an <a class="reference internal" href="../python/_autosummary/mlx.nn.Embedding.html#mlx.nn.Embedding" title="mlx.nn.Embedding"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Embedding</span></code></a> to embed the input tokens.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">Llama</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span>
+        <span class="bp">self</span><span class="p">,</span> <span class="n">num_layers</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">vocab_size</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">mlp_dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">:</span> <span class="nb">int</span>
+    <span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">embedding</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Embedding</span><span class="p">(</span><span class="n">vocab_size</span><span class="p">,</span> <span class="n">dims</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">layers</span> <span class="o">=</span> <span class="p">[</span>
+            <span class="n">LlamaEncoderLayer</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">mlp_dims</span><span class="p">,</span> <span class="n">num_heads</span><span class="p">)</span> <span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_layers</span><span class="p">)</span>
+        <span class="p">]</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">norm</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">RMSNorm</span><span class="p">(</span><span class="n">dims</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">dims</span><span class="p">,</span> <span class="n">vocab_size</span><span class="p">,</span> <span class="n">bias</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
+
+    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
+        <span class="n">mask</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">MultiHeadAttention</span><span class="o">.</span><span class="n">create_additive_causal_mask</span><span class="p">(</span><span class="n">x</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
+        <span class="n">mask</span> <span class="o">=</span> <span class="n">mask</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">embedding</span><span class="o">.</span><span class="n">weight</span><span class="o">.</span><span class="n">dtype</span><span class="p">)</span>
+
+        <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">embedding</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">layers</span><span class="p">:</span>
+            <span class="n">x</span><span class="p">,</span> <span class="n">_</span> <span class="o">=</span> <span class="n">l</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">mask</span><span class="p">)</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Note that in the implementation above we use a simple list to hold the encoder
+layers but using <code class="docutils literal notranslate"><span class="pre">model.parameters()</span></code> will still consider these layers.</p>
+</section>
+<section id="generation">
+<h3>Generation<a class="headerlink" href="#generation" title="Permalink to this heading"></a></h3>
+<p>Our <code class="docutils literal notranslate"><span class="pre">Llama</span></code> module can be used for training but not inference as the
+<code class="docutils literal notranslate"><span class="pre">__call__</span></code> method above processes one input, completely ignores the cache and
+performs no sampling whatsoever. In the rest of this subsection, we will
+implement the inference function as a python generator that processes the
+prompt and then autoregressively yields tokens one at a time.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">Llama</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="o">...</span>
+
+    <span class="k">def</span> <span class="nf">generate</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">temp</span><span class="o">=</span><span class="mf">1.0</span><span class="p">):</span>
+        <span class="n">cache</span> <span class="o">=</span> <span class="p">[]</span>
+
+        <span class="c1"># Make an additive causal mask. We will need that to process the prompt.</span>
+        <span class="n">mask</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">MultiHeadAttention</span><span class="o">.</span><span class="n">create_additive_causal_mask</span><span class="p">(</span><span class="n">x</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
+        <span class="n">mask</span> <span class="o">=</span> <span class="n">mask</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">embedding</span><span class="o">.</span><span class="n">weight</span><span class="o">.</span><span class="n">dtype</span><span class="p">)</span>
+
+        <span class="c1"># First we process the prompt x the same way as in __call__ but</span>
+        <span class="c1"># save the caches in cache</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">embedding</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">layers</span><span class="p">:</span>
+            <span class="n">x</span><span class="p">,</span> <span class="n">c</span> <span class="o">=</span> <span class="n">l</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">mask</span><span class="o">=</span><span class="n">mask</span><span class="p">)</span>
+            <span class="n">cache</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">c</span><span class="p">)</span>  <span class="c1"># &lt;--- we store the per layer cache in a</span>
+                             <span class="c1">#      simple python list</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span><span class="p">(</span><span class="n">x</span><span class="p">[:,</span> <span class="o">-</span><span class="mi">1</span><span class="p">])</span>  <span class="c1"># &lt;--- we only care about the last logits</span>
+                                     <span class="c1">#      that generate the next token</span>
+        <span class="n">y</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">categorical</span><span class="p">(</span><span class="n">y</span> <span class="o">*</span> <span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">temp</span><span class="p">))</span>
+
+        <span class="c1"># y now has size [1]</span>
+        <span class="c1"># Since MLX is lazily evaluated nothing is computed yet.</span>
+        <span class="c1"># Calling y.item() would force the computation to happen at</span>
+        <span class="c1"># this point but we can also choose not to do that and let the</span>
+        <span class="c1"># user choose when to start the computation.</span>
+        <span class="k">yield</span> <span class="n">y</span>
+
+        <span class="c1"># Now we parsed the prompt and generated the first token we</span>
+        <span class="c1"># need to feed it back into the model and loop to generate the</span>
+        <span class="c1"># rest.</span>
+        <span class="k">while</span> <span class="kc">True</span><span class="p">:</span>
+            <span class="c1"># Unsqueezing the last dimension to add a sequence length</span>
+            <span class="c1"># dimension of 1</span>
+            <span class="n">x</span> <span class="o">=</span> <span class="n">y</span><span class="p">[:,</span> <span class="kc">None</span><span class="p">]</span>
+
+            <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">embedding</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+            <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">cache</span><span class="p">)):</span>
+                <span class="c1"># We are overwriting the arrays in the cache list. When</span>
+                <span class="c1"># the computation will happen, MLX will be discarding the</span>
+                <span class="c1"># old cache the moment it is not needed anymore.</span>
+                <span class="n">x</span><span class="p">,</span> <span class="n">cache</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">layers</span><span class="p">[</span><span class="n">i</span><span class="p">](</span><span class="n">x</span><span class="p">,</span> <span class="n">mask</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">cache</span><span class="o">=</span><span class="n">cache</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
+            <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+            <span class="n">y</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span><span class="p">(</span><span class="n">x</span><span class="p">[:,</span> <span class="o">-</span><span class="mi">1</span><span class="p">])</span>
+            <span class="n">y</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">categorical</span><span class="p">(</span><span class="n">y</span> <span class="o">*</span> <span class="p">(</span><span class="mi">1</span><span class="o">/</span><span class="n">temp</span><span class="p">))</span>
+
+            <span class="k">yield</span> <span class="n">y</span>
+</pre></div>
+</div>
+</section>
+<section id="putting-it-all-together">
+<h3>Putting it all together<a class="headerlink" href="#putting-it-all-together" title="Permalink to this heading"></a></h3>
+<p>We now have everything we need to create a Llama model and sample tokens from
+it. In the following code, we randomly initialize a small Llama model, process
+6 tokens of prompt and generate 10 tokens.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">model</span> <span class="o">=</span> <span class="n">Llama</span><span class="p">(</span><span class="n">num_layers</span><span class="o">=</span><span class="mi">12</span><span class="p">,</span> <span class="n">vocab_size</span><span class="o">=</span><span class="mi">8192</span><span class="p">,</span> <span class="n">dims</span><span class="o">=</span><span class="mi">512</span><span class="p">,</span> <span class="n">mlp_dims</span><span class="o">=</span><span class="mi">1024</span><span class="p">,</span> <span class="n">num_heads</span><span class="o">=</span><span class="mi">8</span><span class="p">)</span>
+
+<span class="c1"># Since MLX is lazily evaluated nothing has actually been materialized yet.</span>
+<span class="c1"># We could have set the `dims` to 20_000 on a machine with 8GB of RAM and the</span>
+<span class="c1"># code above would still run. Let&#39;s actually materialize the model.</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+
+<span class="n">prompt</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">([[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">10</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">32</span><span class="p">,</span> <span class="mi">44</span><span class="p">,</span> <span class="mi">7</span><span class="p">]])</span>  <span class="c1"># &lt;-- Note the double brackets because we</span>
+                                            <span class="c1">#     have a batch dimension even</span>
+                                            <span class="c1">#     though it is 1 in this case</span>
+
+<span class="n">generated</span> <span class="o">=</span> <span class="p">[</span><span class="n">t</span> <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="mi">10</span><span class="p">),</span> <span class="n">model</span><span class="o">.</span><span class="n">generate</span><span class="p">(</span><span class="n">prompt</span><span class="p">,</span> <span class="mf">0.8</span><span class="p">))]</span>
+
+<span class="c1"># Since we haven&#39;t evaluated anything, nothing is computed yet. The list</span>
+<span class="c1"># `generated` contains the arrays that hold the computation graph for the</span>
+<span class="c1"># full processing of the prompt and the generation of 10 tokens.</span>
+<span class="c1">#</span>
+<span class="c1"># We can evaluate them one at a time, or all together. Concatenate them or</span>
+<span class="c1"># print them. They would all result in very similar runtimes and give exactly</span>
+<span class="c1"># the same results.</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">generated</span><span class="p">)</span>
+</pre></div>
+</div>
+</section>
+</section>
+<section id="converting-the-weights">
+<h2>Converting the weights<a class="headerlink" href="#converting-the-weights" title="Permalink to this heading"></a></h2>
+<p>This section assumes that you have access to the original Llama weights and the
+SentencePiece model that comes with them. We will write a small script to
+convert the PyTorch weights to MLX compatible ones and write them in a NPZ file
+that can be loaded directly by MLX.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">argparse</span>
+<span class="kn">from</span> <span class="nn">itertools</span> <span class="kn">import</span> <span class="n">starmap</span>
+
+<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+<span class="kn">import</span> <span class="nn">torch</span>
+
+<span class="k">def</span> <span class="nf">map_torch_to_mlx</span><span class="p">(</span><span class="n">key</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
+    <span class="k">if</span> <span class="s2">&quot;tok_embedding&quot;</span> <span class="ow">in</span> <span class="n">key</span><span class="p">:</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="s2">&quot;embedding.weight&quot;</span>
+
+    <span class="k">elif</span> <span class="s2">&quot;norm&quot;</span> <span class="ow">in</span> <span class="n">key</span><span class="p">:</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;attention_norm&quot;</span><span class="p">,</span> <span class="s2">&quot;norm1&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;ffn_norm&quot;</span><span class="p">,</span> <span class="s2">&quot;norm2&quot;</span><span class="p">)</span>
+
+    <span class="k">elif</span> <span class="s2">&quot;wq&quot;</span> <span class="ow">in</span> <span class="n">key</span> <span class="ow">or</span> <span class="s2">&quot;wk&quot;</span> <span class="ow">in</span> <span class="n">key</span> <span class="ow">or</span> <span class="s2">&quot;wv&quot;</span> <span class="ow">in</span> <span class="n">key</span> <span class="ow">or</span> <span class="s2">&quot;wo&quot;</span> <span class="ow">in</span> <span class="n">key</span><span class="p">:</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;wq&quot;</span><span class="p">,</span> <span class="s2">&quot;query_proj&quot;</span><span class="p">)</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;wk&quot;</span><span class="p">,</span> <span class="s2">&quot;key_proj&quot;</span><span class="p">)</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;wv&quot;</span><span class="p">,</span> <span class="s2">&quot;value_proj&quot;</span><span class="p">)</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;wo&quot;</span><span class="p">,</span> <span class="s2">&quot;out_proj&quot;</span><span class="p">)</span>
+
+    <span class="k">elif</span> <span class="s2">&quot;w1&quot;</span> <span class="ow">in</span> <span class="n">key</span> <span class="ow">or</span> <span class="s2">&quot;w2&quot;</span> <span class="ow">in</span> <span class="n">key</span> <span class="ow">or</span> <span class="s2">&quot;w3&quot;</span> <span class="ow">in</span> <span class="n">key</span><span class="p">:</span>
+        <span class="c1"># The FFN is a separate submodule in PyTorch</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;feed_forward.w1&quot;</span><span class="p">,</span> <span class="s2">&quot;linear1&quot;</span><span class="p">)</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;feed_forward.w3&quot;</span><span class="p">,</span> <span class="s2">&quot;linear2&quot;</span><span class="p">)</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;feed_forward.w2&quot;</span><span class="p">,</span> <span class="s2">&quot;linear3&quot;</span><span class="p">)</span>
+
+    <span class="k">elif</span> <span class="s2">&quot;output&quot;</span> <span class="ow">in</span> <span class="n">key</span><span class="p">:</span>
+        <span class="n">key</span> <span class="o">=</span> <span class="n">key</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s2">&quot;output&quot;</span><span class="p">,</span> <span class="s2">&quot;out_proj&quot;</span><span class="p">)</span>
+
+    <span class="k">elif</span> <span class="s2">&quot;rope&quot;</span> <span class="ow">in</span> <span class="n">key</span><span class="p">:</span>
+        <span class="k">return</span> <span class="kc">None</span><span class="p">,</span> <span class="kc">None</span>
+
+    <span class="k">return</span> <span class="n">key</span><span class="p">,</span> <span class="n">value</span><span class="o">.</span><span class="n">numpy</span><span class="p">()</span>
+
+
+<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s2">&quot;__main__&quot;</span><span class="p">:</span>
+    <span class="n">parser</span> <span class="o">=</span> <span class="n">argparse</span><span class="o">.</span><span class="n">ArgumentParser</span><span class="p">(</span><span class="n">description</span><span class="o">=</span><span class="s2">&quot;Convert Llama weights to MLX&quot;</span><span class="p">)</span>
+    <span class="n">parser</span><span class="o">.</span><span class="n">add_argument</span><span class="p">(</span><span class="s2">&quot;torch_weights&quot;</span><span class="p">)</span>
+    <span class="n">parser</span><span class="o">.</span><span class="n">add_argument</span><span class="p">(</span><span class="s2">&quot;output_file&quot;</span><span class="p">)</span>
+    <span class="n">args</span> <span class="o">=</span> <span class="n">parser</span><span class="o">.</span><span class="n">parse_args</span><span class="p">()</span>
+
+    <span class="n">state</span> <span class="o">=</span> <span class="n">torch</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">args</span><span class="o">.</span><span class="n">torch_weights</span><span class="p">)</span>
+    <span class="n">np</span><span class="o">.</span><span class="n">savez</span><span class="p">(</span>
+        <span class="n">args</span><span class="o">.</span><span class="n">output_file</span><span class="p">,</span>
+        <span class="o">**</span><span class="p">{</span><span class="n">k</span><span class="p">:</span> <span class="n">v</span> <span class="k">for</span> <span class="n">k</span><span class="p">,</span> <span class="n">v</span> <span class="ow">in</span> <span class="n">starmap</span><span class="p">(</span><span class="n">map_torch_to_mlx</span><span class="p">,</span> <span class="n">state</span><span class="o">.</span><span class="n">items</span><span class="p">())</span> <span class="k">if</span> <span class="n">k</span> <span class="ow">is</span> <span class="ow">not</span> <span class="kc">None</span><span class="p">}</span>
+    <span class="p">)</span>
+</pre></div>
+</div>
+</section>
+<section id="weight-loading-and-benchmarking">
+<h2>Weight loading and benchmarking<a class="headerlink" href="#weight-loading-and-benchmarking" title="Permalink to this heading"></a></h2>
+<p>After converting the weights to be compatible to our implementation, all that is
+left is to load them from disk and we can finally use the LLM to generate text.
+We can load numpy format files using the <a class="reference internal" href="../python/_autosummary/mlx.core.load.html#mlx.core.load" title="mlx.core.load"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.core.load()</span></code></a> operation.</p>
+<p>To create a parameter dictionary from the key/value representation of NPZ files
+we will use the <a class="reference internal" href="../python/_autosummary/mlx.utils.tree_unflatten.html#mlx.utils.tree_unflatten" title="mlx.utils.tree_unflatten"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.utils.tree_unflatten()</span></code></a> helper method as follows:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">mlx.utils</span> <span class="kn">import</span> <span class="n">tree_unflatten</span>
+
+<span class="n">model</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">tree_unflatten</span><span class="p">(</span><span class="nb">list</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">weight_file</span><span class="p">)</span><span class="o">.</span><span class="n">items</span><span class="p">())))</span>
+</pre></div>
+</div>
+<p><a class="reference internal" href="../python/_autosummary/mlx.utils.tree_unflatten.html#mlx.utils.tree_unflatten" title="mlx.utils.tree_unflatten"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.utils.tree_unflatten()</span></code></a> will take keys from the NPZ file that look
+like <code class="docutils literal notranslate"><span class="pre">layers.2.attention.query_proj.weight</span></code> and will transform them to</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="p">{</span><span class="s2">&quot;layers&quot;</span><span class="p">:</span> <span class="p">[</span><span class="o">...</span><span class="p">,</span> <span class="o">...</span><span class="p">,</span> <span class="p">{</span><span class="s2">&quot;attention&quot;</span><span class="p">:</span> <span class="p">{</span><span class="s2">&quot;query_proj&quot;</span><span class="p">:</span> <span class="p">{</span><span class="s2">&quot;weight&quot;</span><span class="p">:</span> <span class="o">...</span><span class="p">}}}]}</span>
+</pre></div>
+</div>
+<p>which can then be used to update the model. Note that the method above incurs
+several unnecessary copies from disk to numpy and then from numpy to MLX. It
+will be replaced in the future with direct loading to MLX.</p>
+<p>You can download the full example code in <a class="reference external" href="code">mlx-examples</a>. Assuming, the
+existence of <code class="docutils literal notranslate"><span class="pre">weights.pth</span></code> and <code class="docutils literal notranslate"><span class="pre">tokenizer.model</span></code> in the current working
+directory we can play around with our inference script as follows (the timings
+are representative of an M1 Ultra and the 7B parameter Llama model):</p>
+<div class="highlight-bash notranslate"><div class="highlight"><pre><span></span>$<span class="w"> </span>python<span class="w"> </span>convert.py<span class="w"> </span>weights.pth<span class="w"> </span>llama-7B.mlx.npz
+$<span class="w"> </span>python<span class="w"> </span>llama.py<span class="w"> </span>llama-7B.mlx.npz<span class="w"> </span>tokenizer.model<span class="w"> </span><span class="s1">&#39;Call me Ishmael. Some years ago never mind how long precisely&#39;</span>
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Loading<span class="w"> </span>model<span class="w"> </span>from<span class="w"> </span>disk:<span class="w"> </span><span class="m">5</span>.247<span class="w"> </span>s
+Press<span class="w"> </span>enter<span class="w"> </span>to<span class="w"> </span>start<span class="w"> </span>generation
+------
+,<span class="w"> </span>having<span class="w"> </span>little<span class="w"> </span>or<span class="w"> </span>no<span class="w"> </span>money<span class="w"> </span><span class="k">in</span><span class="w"> </span>my<span class="w"> </span>purse,<span class="w"> </span>and<span class="w"> </span>nothing<span class="w"> </span>of<span class="w"> </span>greater<span class="w"> </span>consequence<span class="w"> </span><span class="k">in</span><span class="w"> </span>my<span class="w"> </span>mind,<span class="w"> </span>I<span class="w"> </span>happened<span class="w"> </span>to<span class="w"> </span>be<span class="w"> </span>walking<span class="w"> </span>down<span class="w"> </span>Gower<span class="w"> </span>Street<span class="w"> </span><span class="k">in</span><span class="w"> </span>the<span class="w"> </span>afternoon,<span class="w"> </span><span class="k">in</span><span class="w"> </span>the<span class="w"> </span>heavy<span class="w"> </span>rain,<span class="w"> </span>and<span class="w"> </span>I<span class="w"> </span>saw<span class="w"> </span>a<span class="w"> </span>few<span class="w"> </span>steps<span class="w"> </span>off,<span class="w"> </span>a<span class="w"> </span>man<span class="w"> </span><span class="k">in</span><span class="w"> </span>rags,<span class="w"> </span>who<span class="w"> </span>sat<span class="w"> </span>upon<span class="w"> </span>his<span class="w"> </span>bundle<span class="w"> </span>and<span class="w"> </span>looked<span class="w"> </span>hard<span class="w"> </span>into<span class="w"> </span>the<span class="w"> </span>wet<span class="w"> </span>as<span class="w"> </span><span class="k">if</span><span class="w"> </span>he<span class="w"> </span>were<span class="w"> </span>going<span class="w"> </span>to<span class="w"> </span>cry.<span class="w"> </span>I<span class="w"> </span>watched<span class="w"> </span>him<span class="w"> </span>attentively<span class="w"> </span><span class="k">for</span><span class="w"> </span>some<span class="w"> </span>time,<span class="w"> </span>and<span class="w"> </span>could<span class="w"> </span>not<span class="w"> </span>but<span class="w"> </span>observe<span class="w"> </span>that,<span class="w"> </span>though<span class="w"> </span>a<span class="w"> </span>numerous<span class="w"> </span>crowd<span class="w"> </span>was<span class="w"> </span>hurrying<span class="w"> </span>up<span class="w"> </span>and<span class="w"> </span>down,
+------
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Prompt<span class="w"> </span>processing:<span class="w"> </span><span class="m">0</span>.437<span class="w"> </span>s
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Full<span class="w"> </span>generation:<span class="w"> </span><span class="m">4</span>.330<span class="w"> </span>s
+</pre></div>
+</div>
+<p>We observe that 4.3 seconds are required to generate 100 tokens and 0.4 seconds
+of those are spent processing the prompt. This amounts to a little over <strong>39 ms
+per token</strong>.</p>
+<p>By running with a much bigger prompt we can see that the per token generation
+time as well as the prompt processing time remains almost constant.</p>
+<div class="highlight-bash notranslate"><div class="highlight"><pre><span></span>$<span class="w"> </span>python<span class="w"> </span>llama.py<span class="w"> </span>llama-7B.mlx.npz<span class="w"> </span>tokenizer.model<span class="w"> </span><span class="s1">&#39;Call me Ishmael. Some years ago never mind how long precisely, having little or no money in my purse, and nothing of greater consequence in my mind, I happened to be walking down Gower Street in the afternoon, in the heavy rain, and I saw a few steps off, a man in rags, who sat upon his bundle and looked hard into the wet as if he were going to cry. I watched him attentively for some time, and could not but observe that, though a numerous crowd was hurrying up and down, nobody took the least notice of him. I stopped at last, at a little distance, as if I had been in doubt, and after looking on a few minutes, walked straight up to him. He slowly raised his eyes, and fixed them upon me for a moment, without speaking, and then resumed his place and posture as before. I stood looking at him for a while, feeling very much pain at heart, and then said to him, “What are you doing there?” Something like a smile passed over his face, as he said slowly, “I am waiting for someone; but it has been three quarters of an hour now, and he has not come.” “What is it you are waiting for?” said I. Still he made no immediate reply, but again put his face down upon his hands, and did not&#39;</span>
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Loading<span class="w"> </span>model<span class="w"> </span>from<span class="w"> </span>disk:<span class="w"> </span><span class="m">5</span>.247<span class="w"> </span>s
+Press<span class="w"> </span>enter<span class="w"> </span>to<span class="w"> </span>start<span class="w"> </span>generation
+------
+take<span class="w"> </span>his<span class="w"> </span>eyes<span class="w"> </span>from<span class="w"> </span>the<span class="w"> </span>ground.<span class="w"> </span>“What<span class="w"> </span>is<span class="w"> </span>it<span class="w"> </span>you<span class="w"> </span>are<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span>?”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>“I<span class="w"> </span>am<span class="w"> </span>not<span class="w"> </span>accustomed<span class="w"> </span>to<span class="w"> </span>be<span class="w"> </span>thus<span class="w"> </span>questioned,”<span class="w"> </span>said<span class="w"> </span>he.<span class="w"> </span>“You<span class="w"> </span>look<span class="w"> </span>like<span class="w"> </span>a<span class="w"> </span>reasonable<span class="w"> </span>man—tell<span class="w"> </span>me,<span class="w"> </span><span class="k">then</span>,<span class="w"> </span>what<span class="w"> </span>are<span class="w"> </span>you<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span>?”<span class="w"> </span>“You<span class="w"> </span>would<span class="w"> </span>not<span class="w"> </span>understand,”<span class="w"> </span>he<span class="w"> </span>replied<span class="p">;</span><span class="w"> </span>“and<span class="w"> </span>how<span class="w"> </span>could<span class="w"> </span>you<span class="w"> </span><span class="nb">help</span><span class="w"> </span>me,<span class="w"> </span><span class="k">if</span><span class="w"> </span>I<span class="w"> </span>were<span class="w"> </span>to<span class="w"> </span>tell<span class="w"> </span>you?”<span class="w"> </span>“I<span class="w"> </span>should<span class="w"> </span>not<span class="w"> </span>only<span class="w"> </span>understand,<span class="w"> </span>but<span class="w"> </span>would<span class="w"> </span><span class="k">do</span><span class="w"> </span>all<span class="w"> </span>that<span class="w"> </span>I<span class="w"> </span>could,”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>He<span class="w"> </span>did<span class="w"> </span>not
+------
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Prompt<span class="w"> </span>processing:<span class="w"> </span><span class="m">0</span>.579<span class="w"> </span>s
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Full<span class="w"> </span>generation:<span class="w"> </span><span class="m">4</span>.690<span class="w"> </span>s
+$<span class="w"> </span>python<span class="w"> </span>llama.py<span class="w"> </span>--num-tokens<span class="w"> </span><span class="m">500</span><span class="w"> </span>llama-7B.mlx.npz<span class="w"> </span>tokenizer.model<span class="w"> </span><span class="s1">&#39;Call me Ishmael. Some years ago never mind how long precisely, having little or no money in my purse, and nothing of greater consequence in my mind, I happened to be walking down Gower Street in the afternoon, in the heavy rain, and I saw a few steps off, a man in rags, who sat upon his bundle and looked hard into the wet as if he were going to cry. I watched him attentively for some time, and could not but observe that, though a numerous crowd was hurrying up and down, nobody took the least notice of him. I stopped at last, at a little distance, as if I had been in doubt, and after looking on a few minutes, walked straight up to him. He slowly raised his eyes, and fixed them upon me for a moment, without speaking, and then resumed his place and posture as before. I stood looking at him for a while, feeling very much pain at heart, and then said to him, “What are you doing there?” Something like a smile passed over his face, as he said slowly, “I am waiting for someone; but it has been three quarters of an hour now, and he has not come.” “What is it you are waiting for?” said I. Still he made no immediate reply, but again put his face down upon his hands, and did not&#39;</span>
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Loading<span class="w"> </span>model<span class="w"> </span>from<span class="w"> </span>disk:<span class="w"> </span><span class="m">5</span>.628<span class="w"> </span>s
+Press<span class="w"> </span>enter<span class="w"> </span>to<span class="w"> </span>start<span class="w"> </span>generation
+------
+take<span class="w"> </span>his<span class="w"> </span>eyes<span class="w"> </span>from<span class="w"> </span>the<span class="w"> </span>ground.<span class="w"> </span>“What<span class="w"> </span>is<span class="w"> </span>it<span class="w"> </span>you<span class="w"> </span>are<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span>?”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>“I<span class="w"> </span>am<span class="w"> </span>not<span class="w"> </span>accustomed<span class="w"> </span>to<span class="w"> </span>be<span class="w"> </span>thus<span class="w"> </span>questioned,”<span class="w"> </span>said<span class="w"> </span>he.<span class="w"> </span>“You<span class="w"> </span>look<span class="w"> </span>like<span class="w"> </span>a<span class="w"> </span>reasonable<span class="w"> </span>man—tell<span class="w"> </span>me,<span class="w"> </span><span class="k">then</span>,<span class="w"> </span>what<span class="w"> </span>are<span class="w"> </span>you<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span>?”<span class="w"> </span>“You<span class="w"> </span>would<span class="w"> </span>not<span class="w"> </span>understand,”<span class="w"> </span>he<span class="w"> </span>replied<span class="p">;</span><span class="w"> </span>“and<span class="w"> </span>how<span class="w"> </span>could<span class="w"> </span>you<span class="w"> </span><span class="nb">help</span><span class="w"> </span>me,<span class="w"> </span><span class="k">if</span><span class="w"> </span>I<span class="w"> </span>were<span class="w"> </span>to<span class="w"> </span>tell<span class="w"> </span>you?”<span class="w"> </span>“I<span class="w"> </span>should<span class="w"> </span>not<span class="w"> </span>only<span class="w"> </span>understand,<span class="w"> </span>but<span class="w"> </span>would<span class="w"> </span><span class="k">do</span><span class="w"> </span>all<span class="w"> </span>that<span class="w"> </span>I<span class="w"> </span>could,”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>He<span class="w"> </span>did<span class="w"> </span>not<span class="w"> </span>reply,<span class="w"> </span>but<span class="w"> </span>still<span class="w"> </span>went<span class="w"> </span>on<span class="w"> </span>looking<span class="w"> </span>at<span class="w"> </span>the<span class="w"> </span>ground,<span class="w"> </span>and<span class="w"> </span>took<span class="w"> </span>hold<span class="w"> </span>of<span class="w"> </span>his<span class="w"> </span>bundle<span class="w"> </span>with<span class="w"> </span>a<span class="w"> </span>nervous<span class="w"> </span>trembling.<span class="w"> </span>I<span class="w"> </span>waited<span class="w"> </span>some<span class="w"> </span>time,<span class="w"> </span>and<span class="w"> </span><span class="k">then</span><span class="w"> </span>resumed.<span class="w"> </span>“It<span class="w"> </span>is<span class="w"> </span>of<span class="w"> </span>no<span class="w"> </span>use<span class="w"> </span>to<span class="w"> </span>say<span class="w"> </span>you<span class="w"> </span>would<span class="w"> </span>not<span class="w"> </span>understand,<span class="w"> </span><span class="k">if</span><span class="w"> </span>I<span class="w"> </span>were<span class="w"> </span>to<span class="w"> </span>tell<span class="w"> </span>you,”<span class="w"> </span>said<span class="w"> </span>he.<span class="w"> </span>“I<span class="w"> </span>have<span class="w"> </span>not<span class="w"> </span>told<span class="w"> </span>you<span class="w"> </span>why<span class="w"> </span>I<span class="w"> </span>am<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span><span class="w"> </span>him,”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>“And<span class="w"> </span>I<span class="w"> </span>am<span class="w"> </span>sure<span class="w"> </span>I<span class="w"> </span>should<span class="w"> </span>not<span class="w"> </span>understand,”<span class="w"> </span>replied<span class="w"> </span>he.<span class="w"> </span>“I<span class="w"> </span>will<span class="w"> </span>tell<span class="w"> </span>you<span class="w"> </span><span class="k">then</span>,”<span class="w"> </span>said<span class="w"> </span>I,<span class="w"> </span>“and,<span class="w"> </span>perhaps,<span class="w"> </span>you<span class="w"> </span>would<span class="w"> </span>not<span class="w"> </span>be<span class="w"> </span>surprised.”<span class="w"> </span>“No<span class="w"> </span>matter,”<span class="w"> </span>said<span class="w"> </span>he,<span class="w"> </span>“I<span class="w"> </span>shall<span class="w"> </span>be<span class="w"> </span>surprised<span class="w"> </span>anyhow<span class="p">;</span><span class="w"> </span>so<span class="w"> </span>tell<span class="w"> </span>me<span class="w"> </span>why<span class="w"> </span>you<span class="w"> </span>are<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span><span class="w"> </span>him.”<span class="w"> </span>“He<span class="w"> </span>is<span class="w"> </span>my<span class="w"> </span>friend,”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>“Yes,”<span class="w"> </span>said<span class="w"> </span>he,<span class="w"> </span>with<span class="w"> </span>a<span class="w"> </span>slight<span class="w"> </span>smile,<span class="w"> </span>“I<span class="w"> </span>know.”<span class="w"> </span>“He<span class="w"> </span>has<span class="w"> </span>been<span class="w"> </span>kind<span class="w"> </span>to<span class="w"> </span>me,”<span class="w"> </span>said<span class="w"> </span>I,<span class="w"> </span>“and<span class="w"> </span>I<span class="w"> </span>am<span class="w"> </span>waiting<span class="w"> </span><span class="k">for</span><span class="w"> </span>him.<span class="w"> </span>I<span class="w"> </span>want<span class="w"> </span>to<span class="w"> </span>see<span class="w"> </span>him,<span class="w"> </span>and<span class="w"> </span>could<span class="w"> </span>have<span class="w"> </span>waited<span class="w"> </span>as<span class="w"> </span>I<span class="w"> </span>am<span class="w"> </span>now,<span class="w"> </span><span class="k">for</span><span class="w"> </span>a<span class="w"> </span>much<span class="w"> </span>longer<span class="w"> </span>time.”<span class="w"> </span>“He<span class="w"> </span>will<span class="w"> </span>not<span class="w"> </span>soon<span class="w"> </span>come,”<span class="w"> </span>said<span class="w"> </span>he.<span class="w"> </span>“Unless<span class="w"> </span>he<span class="w"> </span>sees<span class="w"> </span>you<span class="w"> </span>here,<span class="w"> </span>he<span class="w"> </span>will<span class="w"> </span>not<span class="w"> </span>know<span class="w"> </span>of<span class="w"> </span>your<span class="w"> </span>having<span class="w"> </span>waited,<span class="w"> </span>and<span class="w"> </span>he<span class="w"> </span>will<span class="w"> </span>be<span class="w"> </span>very<span class="w"> </span>unlikely<span class="w"> </span>to<span class="w"> </span>come.”<span class="w"> </span>“No<span class="w"> </span>matter,”<span class="w"> </span>said<span class="w"> </span>I,<span class="w"> </span>“I<span class="w"> </span>shall<span class="w"> </span><span class="nb">wait</span><span class="w"> </span><span class="k">for</span><span class="w"> </span>him.”<span class="w"> </span>“This<span class="w"> </span>is<span class="w"> </span>a<span class="w"> </span>strange<span class="w"> </span>thing,”<span class="w"> </span>said<span class="w"> </span>he,<span class="w"> </span>still<span class="w"> </span>with<span class="w"> </span>the<span class="w"> </span>same<span class="w"> </span>amused<span class="w"> </span>smile.<span class="w"> </span>“How<span class="w"> </span>did<span class="w"> </span>you<span class="w"> </span>know,”<span class="w"> </span>said<span class="w"> </span>I,<span class="w"> </span>“that<span class="w"> </span>he<span class="w"> </span>was<span class="w"> </span>coming?<span class="w"> </span>How<span class="w"> </span>should<span class="w"> </span>you<span class="w"> </span>be<span class="w"> </span>waiting?”<span class="w"> </span>“That<span class="w"> </span>is<span class="w"> </span>my<span class="w"> </span>secret,”<span class="w"> </span>said<span class="w"> </span>he.<span class="w"> </span>“And<span class="w"> </span>you<span class="w"> </span>expect<span class="w"> </span>him?”<span class="w"> </span>“Yes,”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>“Are<span class="w"> </span>you<span class="w"> </span>disappointed<span class="w"> </span><span class="k">then</span>,<span class="w"> </span><span class="k">if</span><span class="w"> </span>he<span class="w"> </span>does<span class="w"> </span>not<span class="w"> </span>come?”<span class="w"> </span>“No,”<span class="w"> </span>said<span class="w"> </span>I,<span class="w"> </span>“it<span class="w"> </span>is<span class="w"> </span>his<span class="w"> </span>secret,<span class="w"> </span>not<span class="w"> </span>mine.”<span class="w"> </span>“If<span class="w"> </span>he<span class="w"> </span>comes,”<span class="w"> </span>said<span class="w"> </span>he,<span class="w"> </span>“do<span class="w"> </span>you<span class="w"> </span>mean<span class="w"> </span>to<span class="w"> </span>go<span class="w"> </span>straight<span class="w"> </span>away?”<span class="w"> </span>“Yes,”<span class="w"> </span>said<span class="w"> </span>I,<span class="w"> </span>“I<span class="w"> </span>cannot<span class="w"> </span>be<span class="w"> </span>happy<span class="w"> </span><span class="k">if</span><span class="w"> </span>I<span class="w"> </span><span class="k">do</span><span class="w"> </span>not<span class="w"> </span>go<span class="w"> </span>straight<span class="w"> </span>away<span class="w"> </span>after<span class="w"> </span>him.”<span class="w"> </span>“Did<span class="w"> </span>you<span class="w"> </span>know<span class="w"> </span>this<span class="w"> </span>place<span class="w"> </span>before?”<span class="w"> </span>asked<span class="w"> </span>he.<span class="w"> </span>“Yes,”<span class="w"> </span>said<span class="w"> </span>I.<span class="w"> </span>“Is<span class="w"> </span>there<span class="w"> </span>any<span class="w"> </span>shop<span class="w"> </span>to<span class="w"> </span>buy<span class="w"> </span>food<span class="w"> </span>here?”<span class="w"> </span>“
+------
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Prompt<span class="w"> </span>processing:<span class="w"> </span><span class="m">0</span>.633<span class="w"> </span>s
+<span class="o">[</span>INFO<span class="o">]</span><span class="w"> </span>Full<span class="w"> </span>generation:<span class="w"> </span><span class="m">21</span>.475<span class="w"> </span>s
+</pre></div>
+</div>
+</section>
+<section id="scripts">
+<h2>Scripts<a class="headerlink" href="#scripts" title="Permalink to this heading"></a></h2>
+<div class="admonition-download-the-code admonition">
+<p class="admonition-title">Download the code</p>
+<p>The full example code is available in <a class="reference external" href="code">mlx-examples</a>.</p>
+</div>
+<aside class="footnote brackets" id="id5" role="note">
+<span class="label"><span class="fn-bracket">[</span><a role="doc-backlink" href="#id1">1</a><span class="fn-bracket">]</span></span>
+<p>Su, J., Lu, Y., Pan, S., Murtadha, A., Wen, B. and Liu, Y., 2021.
+Roformer: Enhanced transformer with rotary position embedding. arXiv
+preprint arXiv:2104.09864.</p>
+</aside>
+<aside class="footnote brackets" id="id6" role="note">
+<span class="label"><span class="fn-bracket">[</span><a role="doc-backlink" href="#id2">2</a><span class="fn-bracket">]</span></span>
+<p>Zhang, B. and Sennrich, R., 2019. Root mean square layer normalization.
+Advances in Neural Information Processing Systems, 32.</p>
+</aside>
+<aside class="footnote brackets" id="id7" role="note">
+<span class="label"><span class="fn-bracket">[</span><a role="doc-backlink" href="#id3">3</a><span class="fn-bracket">]</span></span>
+<p>Shazeer, N., 2020. Glu variants improve transformer. arXiv preprint
+arXiv:2002.05202.</p>
+</aside>
+</section>
+</section>
+
+
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
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+<li class="toctree-l1"><a class="reference internal" href="linear_regression.html">Linear Regression</a></li>
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+             
+  <section id="multi-layer-perceptron">
+<span id="mlp"></span><h1>Multi-Layer Perceptron<a class="headerlink" href="#multi-layer-perceptron" title="Permalink to this heading"></a></h1>
+<p>In this example we’ll learn to use <code class="docutils literal notranslate"><span class="pre">mlx.nn</span></code> by implementing a simple
+multi-layer perceptron to classify MNIST.</p>
+<p>As a first step import the MLX packages we need:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="kn">import</span> <span class="nn">mlx.nn</span> <span class="k">as</span> <span class="nn">nn</span>
+<span class="kn">import</span> <span class="nn">mlx.optimizers</span> <span class="k">as</span> <span class="nn">optim</span>
+
+<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+</pre></div>
+</div>
+<p>The model is defined as the <code class="docutils literal notranslate"><span class="pre">MLP</span></code> class which inherits from
+<a class="reference internal" href="../python/nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Module</span></code></a>. We follow the standard idiom to make a new module:</p>
+<ol class="arabic simple">
+<li><p>Define an <code class="docutils literal notranslate"><span class="pre">__init__</span></code> where the parameters and/or submodules are setup. See
+the <a class="reference internal" href="../python/nn.html#module-class"><span class="std std-ref">Module class docs</span></a> for more information on how
+<a class="reference internal" href="../python/nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Module</span></code></a> registers parameters.</p></li>
+<li><p>Define a <code class="docutils literal notranslate"><span class="pre">__call__</span></code> where the computation is implemented.</p></li>
+</ol>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">class</span> <span class="nc">MLP</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span>
+        <span class="bp">self</span><span class="p">,</span> <span class="n">num_layers</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">input_dim</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">hidden_dim</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">output_dim</span><span class="p">:</span> <span class="nb">int</span>
+    <span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
+        <span class="n">layer_sizes</span> <span class="o">=</span> <span class="p">[</span><span class="n">input_dim</span><span class="p">]</span> <span class="o">+</span> <span class="p">[</span><span class="n">hidden_dim</span><span class="p">]</span> <span class="o">*</span> <span class="n">num_layers</span> <span class="o">+</span> <span class="p">[</span><span class="n">output_dim</span><span class="p">]</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">layers</span> <span class="o">=</span> <span class="p">[</span>
+            <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">idim</span><span class="p">,</span> <span class="n">odim</span><span class="p">)</span>
+            <span class="k">for</span> <span class="n">idim</span><span class="p">,</span> <span class="n">odim</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="n">layer_sizes</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">layer_sizes</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span>
+        <span class="p">]</span>
+
+    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
+        <span class="k">for</span> <span class="n">l</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">layers</span><span class="p">[:</span><span class="o">-</span><span class="mi">1</span><span class="p">]:</span>
+            <span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">maximum</span><span class="p">(</span><span class="n">l</span><span class="p">(</span><span class="n">x</span><span class="p">),</span> <span class="mf">0.0</span><span class="p">)</span>
+        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">layers</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">](</span><span class="n">x</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>We define the loss function which takes the mean of the per-example cross
+entropy loss.  The <code class="docutils literal notranslate"><span class="pre">mlx.nn.losses</span></code> sub-package has implementations of some
+commonly used loss functions.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">loss_fn</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
+    <span class="k">return</span> <span class="n">mx</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">losses</span><span class="o">.</span><span class="n">cross_entropy</span><span class="p">(</span><span class="n">model</span><span class="p">(</span><span class="n">X</span><span class="p">),</span> <span class="n">y</span><span class="p">))</span>
+</pre></div>
+</div>
+<p>We also need a function to compute the accuracy of the model on the validation
+set:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">eval_fn</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
+    <span class="k">return</span> <span class="n">mx</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">model</span><span class="p">(</span><span class="n">X</span><span class="p">),</span> <span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span> <span class="o">==</span> <span class="n">y</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Next, setup the problem parameters and load the data:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">num_layers</span> <span class="o">=</span> <span class="mi">2</span>
+<span class="n">hidden_dim</span> <span class="o">=</span> <span class="mi">32</span>
+<span class="n">num_classes</span> <span class="o">=</span> <span class="mi">10</span>
+<span class="n">batch_size</span> <span class="o">=</span> <span class="mi">256</span>
+<span class="n">num_epochs</span> <span class="o">=</span> <span class="mi">10</span>
+<span class="n">learning_rate</span> <span class="o">=</span> <span class="mf">1e-1</span>
+
+<span class="c1"># Load the data</span>
+<span class="kn">import</span> <span class="nn">mnist</span>
+<span class="n">train_images</span><span class="p">,</span> <span class="n">train_labels</span><span class="p">,</span> <span class="n">test_images</span><span class="p">,</span> <span class="n">test_labels</span> <span class="o">=</span> <span class="nb">map</span><span class="p">(</span>
+    <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">,</span> <span class="n">mnist</span><span class="o">.</span><span class="n">mnist</span><span class="p">()</span>
+<span class="p">)</span>
+</pre></div>
+</div>
+<p>Since we’re using SGD, we need an iterator which shuffles and constructs
+minibatches of examples in the training set:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">def</span> <span class="nf">batch_iterate</span><span class="p">(</span><span class="n">batch_size</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
+    <span class="n">perm</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">permutation</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">size</span><span class="p">))</span>
+    <span class="k">for</span> <span class="n">s</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">y</span><span class="o">.</span><span class="n">size</span><span class="p">,</span> <span class="n">batch_size</span><span class="p">):</span>
+        <span class="n">ids</span> <span class="o">=</span> <span class="n">perm</span><span class="p">[</span><span class="n">s</span> <span class="p">:</span> <span class="n">s</span> <span class="o">+</span> <span class="n">batch_size</span><span class="p">]</span>
+        <span class="k">yield</span> <span class="n">X</span><span class="p">[</span><span class="n">ids</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="n">ids</span><span class="p">]</span>
+</pre></div>
+</div>
+<p>Finally, we put it all together by instantiating the model, the
+<a class="reference internal" href="../python/_autosummary/mlx.optimizers.SGD.html#mlx.optimizers.SGD" title="mlx.optimizers.SGD"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.optimizers.SGD</span></code></a> optimizer, and running the training loop:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># Load the model</span>
+<span class="n">model</span> <span class="o">=</span> <span class="n">MLP</span><span class="p">(</span><span class="n">num_layers</span><span class="p">,</span> <span class="n">train_images</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">hidden_dim</span><span class="p">,</span> <span class="n">num_classes</span><span class="p">)</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+
+<span class="c1"># Get a function which gives the loss and gradient of the</span>
+<span class="c1"># loss with respect to the model&#39;s trainable parameters</span>
+<span class="n">loss_and_grad_fn</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">loss_fn</span><span class="p">)</span>
+
+<span class="c1"># Instantiate the optimizer</span>
+<span class="n">optimizer</span> <span class="o">=</span> <span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">learning_rate</span><span class="o">=</span><span class="n">learning_rate</span><span class="p">)</span>
+
+<span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_epochs</span><span class="p">):</span>
+    <span class="k">for</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span> <span class="ow">in</span> <span class="n">batch_iterate</span><span class="p">(</span><span class="n">batch_size</span><span class="p">,</span> <span class="n">train_images</span><span class="p">,</span> <span class="n">train_labels</span><span class="p">):</span>
+        <span class="n">loss</span><span class="p">,</span> <span class="n">grads</span> <span class="o">=</span> <span class="n">loss_and_grad_fn</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
+
+        <span class="c1"># Update the optimizer state and model parameters</span>
+        <span class="c1"># in a single call</span>
+        <span class="n">optimizer</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">grads</span><span class="p">)</span>
+
+        <span class="c1"># Force a graph evaluation</span>
+        <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">optimizer</span><span class="o">.</span><span class="n">state</span><span class="p">)</span>
+
+    <span class="n">accuracy</span> <span class="o">=</span> <span class="n">eval_fn</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">test_images</span><span class="p">,</span> <span class="n">test_labels</span><span class="p">)</span>
+    <span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Epoch </span><span class="si">{</span><span class="n">e</span><span class="si">}</span><span class="s2">: Test accuracy </span><span class="si">{</span><span class="n">accuracy</span><span class="o">.</span><span class="n">item</span><span class="p">()</span><span class="si">:</span><span class="s2">.3f</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
+</pre></div>
+</div>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p>The <a class="reference internal" href="../python/_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad" title="mlx.nn.value_and_grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.nn.value_and_grad()</span></code></a> function is a convenience function to get
+the gradient of a loss with respect to the trainable parameters of a model.
+This should not be confused with <a class="reference internal" href="../python/_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.core.value_and_grad()</span></code></a>.</p>
+</div>
+<p>The model should train to a decent accuracy (about 95%) after just a few passes
+over the training set. The <a class="reference external" href="https://github.com/ml-explore/mlx-examples/tree/main/mlp">full example</a>
+is available in the MLX GitHub repo.</p>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="linear_regression.html" class="btn btn-neutral float-left" title="Linear Regression" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
+        <a href="llama-inference.html" class="btn btn-neutral float-right" title="LLM inference" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a>
+    </div>
+
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+
+  <div role="contentinfo">
+    <p>&#169; Copyright 2023, MLX Contributors.</p>
+  </div>
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diff --git a/docs/build/html/genindex.html b/docs/build/html/genindex.html
new file mode 100644
index 000000000..2fe4c4d4f
--- /dev/null
+++ b/docs/build/html/genindex.html
@@ -0,0 +1,788 @@
+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" />
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Index &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="_static/pygments.css" type="text/css" />
+      <link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
+  <!--[if lt IE 9]>
+    <script src="_static/js/html5shiv.min.js"></script>
+  <![endif]-->
+  
+        <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
+        <script src="_static/jquery.js"></script>
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+    <script src="_static/js/theme.js"></script>
+    <link rel="index" title="Index" href="#" />
+    <link rel="search" title="Search" href="search.html" /> 
+</head>
+
+<body class="wy-body-for-nav"> 
+  <div class="wy-grid-for-nav">
+    <nav data-toggle="wy-nav-shift" class="wy-nav-side">
+      <div class="wy-side-scroll">
+        <div class="wy-side-nav-search" >
+
+          
+          
+          <a href="index.html" class="icon icon-home">
+            MLX
+          </a>
+              <div class="version">
+                0.0.0
+              </div>
+<div role="search">
+  <form id="rtd-search-form" class="wy-form" action="search.html" method="get">
+    <input type="text" name="q" placeholder="Search docs" aria-label="Search docs" />
+    <input type="hidden" name="check_keywords" value="yes" />
+    <input type="hidden" name="area" value="default" />
+  </form>
+</div>
+        </div><div class="wy-menu wy-menu-vertical" data-spy="affix" role="navigation" aria-label="Navigation menu">
+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="install.html">Build and Install</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/random.html">Random</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="cpp/ops.html">Operations</a></li>
+</ul>
+
+        </div>
+      </div>
+    </nav>
+
+    <section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" >
+          <i data-toggle="wy-nav-top" class="fa fa-bars"></i>
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+      </nav>
+
+      <div class="wy-nav-content">
+        <div class="rst-content">
+          <div role="navigation" aria-label="Page navigation">
+  <ul class="wy-breadcrumbs">
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+      <li class="breadcrumb-item active">Index</li>
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+      </li>
+  </ul>
+  <hr/>
+</div>
+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+
+<h1 id="index">Index</h1>
+
+<div class="genindex-jumpbox">
+ <a href="#_"><strong>_</strong></a>
+ | <a href="#A"><strong>A</strong></a>
+ | <a href="#B"><strong>B</strong></a>
+ | <a href="#C"><strong>C</strong></a>
+ | <a href="#D"><strong>D</strong></a>
+ | <a href="#E"><strong>E</strong></a>
+ | <a href="#F"><strong>F</strong></a>
+ | <a href="#G"><strong>G</strong></a>
+ | <a href="#I"><strong>I</strong></a>
+ | <a href="#J"><strong>J</strong></a>
+ | <a href="#K"><strong>K</strong></a>
+ | <a href="#L"><strong>L</strong></a>
+ | <a href="#M"><strong>M</strong></a>
+ | <a href="#N"><strong>N</strong></a>
+ | <a href="#O"><strong>O</strong></a>
+ | <a href="#P"><strong>P</strong></a>
+ | <a href="#R"><strong>R</strong></a>
+ | <a href="#S"><strong>S</strong></a>
+ | <a href="#T"><strong>T</strong></a>
+ | <a href="#U"><strong>U</strong></a>
+ | <a href="#V"><strong>V</strong></a>
+ | <a href="#W"><strong>W</strong></a>
+ | <a href="#Z"><strong>Z</strong></a>
+ 
+</div>
+<h2 id="_">_</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.array.html#mlx.core.array.__init__">__init__() (mlx.core.array method)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.Device.html#mlx.core.Device.__init__">(mlx.core.Device method)</a>
+</li>
+        <li><a href="python/_autosummary/mlx.core.Dtype.html#mlx.core.Dtype.__init__">(mlx.core.Dtype method)</a>
+</li>
+        <li><a href="python/_autosummary/mlx.core.Stream.html#mlx.core.Stream.__init__">(mlx.core.Stream method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+</tr></table>
+
+<h2 id="A">A</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.abs.html#mlx.core.abs">abs() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.abs.html#mlx.core.array.abs">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.optimizers.Adam.html#mlx.optimizers.Adam">Adam (class in mlx.optimizers)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.add.html#mlx.core.add">add() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.all.html#mlx.core.all">all() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.all.html#mlx.core.array.all">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.allclose.html#mlx.core.allclose">allclose() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.any.html#mlx.core.any">any() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.any.html#mlx.core.array.any">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.apply">apply() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.apply_to_modules">apply_to_modules() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.arange.html#mlx.core.arange">arange() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.arccos.html#mlx.core.arccos">arccos() (in module mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.arccosh.html#mlx.core.arccosh">arccosh() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.arcsin.html#mlx.core.arcsin">arcsin() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.arcsinh.html#mlx.core.arcsinh">arcsinh() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.arctan.html#mlx.core.arctan">arctan() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.arctanh.html#mlx.core.arctanh">arctanh() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.argmax.html#mlx.core.argmax">argmax() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.argmax.html#mlx.core.array.argmax">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.argmin.html#mlx.core.argmin">argmin() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.argmin.html#mlx.core.array.argmin">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.argpartition.html#mlx.core.argpartition">argpartition() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.argsort.html#mlx.core.argsort">argsort() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.html#mlx.core.array">array (class in mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array_equal.html#mlx.core.array_equal">array_equal() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.astype.html#mlx.core.array.astype">astype() (mlx.core.array method)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="B">B</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.random.bernoulli.html#mlx.core.random.bernoulli">bernoulli() (in module mlx.core.random)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.broadcast_to.html#mlx.core.broadcast_to">broadcast_to() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="C">C</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.random.categorical.html#mlx.core.random.categorical">categorical() (in module mlx.core.random)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.children">children() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.concatenate.html#mlx.core.concatenate">concatenate() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.Conv1d.html#mlx.nn.Conv1d">Conv1d (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.conv1d.html#mlx.core.conv1d">conv1d() (in module mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.nn.Conv2d.html#mlx.nn.Conv2d">Conv2d (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.conv2d.html#mlx.core.conv2d">conv2d() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.convolve.html#mlx.core.convolve">convolve() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.cos.html#mlx.core.cos">cos() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.cos.html#mlx.core.array.cos">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.cosh.html#mlx.core.cosh">cosh() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="D">D</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.default_device.html#mlx.core.default_device">default_device() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.default_stream.html#mlx.core.default_stream">default_stream() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.Device.html#mlx.core.Device">Device (class in mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.divide.html#mlx.core.divide">divide() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.Dtype.html#mlx.core.Dtype">Dtype (class in mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.dtype.html#mlx.core.array.dtype">dtype (mlx.core.array property)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="E">E</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.nn.Embedding.html#mlx.nn.Embedding">Embedding (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.equal.html#mlx.core.equal">equal() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.erf.html#mlx.core.erf">erf() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.erfinv.html#mlx.core.erfinv">erfinv() (in module mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.eval.html#mlx.core.eval">eval() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.exp.html#mlx.core.exp">exp() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.exp.html#mlx.core.array.exp">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.expand_dims.html#mlx.core.expand_dims">expand_dims() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="F">F</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.fft.fft.html#mlx.core.fft.fft">fft() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.fft2.html#mlx.core.fft.fft2">fft2() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.fftn.html#mlx.core.fft.fftn">fftn() (in module mlx.core.fft)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/nn/module.html#mlx.nn.Module.filter_and_map">filter_and_map() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.freeze">freeze() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.full.html#mlx.core.full">full() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="G">G</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.nn.GELU.html#mlx.nn.GELU">GELU (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary_functions/mlx.nn.gelu.html#mlx.nn.gelu">gelu (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary_functions/mlx.nn.gelu_approx.html#mlx.nn.gelu_approx">gelu_approx (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary_functions/mlx.nn.gelu_fast_approx.html#mlx.nn.gelu_fast_approx">gelu_fast_approx (class in mlx.nn)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.grad.html#mlx.core.grad">grad() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.greater.html#mlx.core.greater">greater() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.greater_equal.html#mlx.core.greater_equal">greater_equal() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.GroupNorm.html#mlx.nn.GroupNorm">GroupNorm (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.random.gumbel.html#mlx.core.random.gumbel">gumbel() (in module mlx.core.random)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="I">I</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.fft.ifft.html#mlx.core.fft.ifft">ifft() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.ifft2.html#mlx.core.fft.ifft2">ifft2() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.ifftn.html#mlx.core.fft.ifftn">ifftn() (in module mlx.core.fft)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.fft.irfft.html#mlx.core.fft.irfft">irfft() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.irfft2.html#mlx.core.fft.irfft2">irfft2() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.irfftn.html#mlx.core.fft.irfftn">irfftn() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.item.html#mlx.core.array.item">item() (mlx.core.array method)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="J">J</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.jvp.html#mlx.core.jvp">jvp() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="K">K</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.random.key.html#mlx.core.random.key">key() (in module mlx.core.random)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="L">L</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.nn.LayerNorm.html#mlx.nn.LayerNorm">LayerNorm (class in mlx.nn)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.leaf_modules">leaf_modules() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.less.html#mlx.core.less">less() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.less_equal.html#mlx.core.less_equal">less_equal() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.Linear.html#mlx.nn.Linear">Linear (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.load.html#mlx.core.load">load() (in module mlx.core)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.load_weights">load_weights() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.log.html#mlx.core.log">log() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.log.html#mlx.core.array.log">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.log10.html#mlx.core.log10">log10() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.log1p.html#mlx.core.log1p">log1p() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.log1p.html#mlx.core.array.log1p">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.log2.html#mlx.core.log2">log2() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.logaddexp.html#mlx.core.logaddexp">logaddexp() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.logical_not.html#mlx.core.logical_not">logical_not() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.logsumexp.html#mlx.core.logsumexp">logsumexp() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.logsumexp.html#mlx.core.array.logsumexp">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+</tr></table>
+
+<h2 id="M">M</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.matmul.html#mlx.core.matmul">matmul() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.max.html#mlx.core.max">max() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.max.html#mlx.core.array.max">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.maximum.html#mlx.core.maximum">maximum() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.mean.html#mlx.core.mean">mean() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.mean.html#mlx.core.array.mean">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.min.html#mlx.core.min">min() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.min.html#mlx.core.array.min">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.minimum.html#mlx.core.minimum">minimum() (in module mlx.core)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module">Module (class in mlx.nn)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.modules">modules() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.MultiHeadAttention.html#mlx.nn.MultiHeadAttention">MultiHeadAttention (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.multiply.html#mlx.core.multiply">multiply() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="N">N</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/nn/module.html#mlx.nn.Module.named_modules">named_modules() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.ndim.html#mlx.core.array.ndim">ndim (mlx.core.array property)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.negative.html#mlx.core.negative">negative() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.new_stream.html#mlx.core.new_stream">new_stream() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.random.normal.html#mlx.core.random.normal">normal() (in module mlx.core.random)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="O">O</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.ones.html#mlx.core.ones">ones() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.ones_like.html#mlx.core.ones_like">ones_like() (in module mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.optimizers.Optimizer.html#mlx.optimizers.Optimizer">Optimizer (class in mlx.optimizers)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.optimizers.OptimizerState.html#mlx.optimizers.OptimizerState">OptimizerState (class in mlx.optimizers)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="P">P</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.pad.html#mlx.core.pad">pad() (in module mlx.core)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.parameters">parameters() (mlx.nn.Module method)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.partition.html#mlx.core.partition">partition() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.prod.html#mlx.core.prod">prod() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.prod.html#mlx.core.array.prod">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+</tr></table>
+
+<h2 id="R">R</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.random.randint.html#mlx.core.random.randint">randint() (in module mlx.core.random)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.reciprocal.html#mlx.core.reciprocal">reciprocal() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.reciprocal.html#mlx.core.array.reciprocal">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.nn.ReLU.html#mlx.nn.ReLU">ReLU (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary_functions/mlx.nn.relu.html#mlx.nn.relu">relu (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.reshape.html#mlx.core.reshape">reshape() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.reshape.html#mlx.core.array.reshape">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.fft.rfft.html#mlx.core.fft.rfft">rfft() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.rfft2.html#mlx.core.fft.rfft2">rfft2() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.fft.rfftn.html#mlx.core.fft.rfftn">rfftn() (in module mlx.core.fft)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.RMSNorm.html#mlx.nn.RMSNorm">RMSNorm (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.RoPE.html#mlx.nn.RoPE">RoPE (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.rsqrt.html#mlx.core.rsqrt">rsqrt() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.rsqrt.html#mlx.core.array.rsqrt">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+</tr></table>
+
+<h2 id="S">S</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.save.html#mlx.core.save">save() (in module mlx.core)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.save_weights">save_weights() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.savez.html#mlx.core.savez">savez() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.savez_compressed.html#mlx.core.savez_compressed">savez_compressed() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.random.seed.html#mlx.core.random.seed">seed() (in module mlx.core.random)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.Sequential.html#mlx.nn.Sequential">Sequential (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.set_default_device.html#mlx.core.set_default_device">set_default_device() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.set_default_stream.html#mlx.core.set_default_stream">set_default_stream() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.optimizers.SGD.html#mlx.optimizers.SGD">SGD (class in mlx.optimizers)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.shape.html#mlx.core.array.shape">shape (mlx.core.array property)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.sigmoid.html#mlx.core.sigmoid">sigmoid() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.sign.html#mlx.core.sign">sign() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.nn.SiLU.html#mlx.nn.SiLU">SiLU (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary_functions/mlx.nn.silu.html#mlx.nn.silu">silu (class in mlx.nn)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.sin.html#mlx.core.sin">sin() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.sin.html#mlx.core.array.sin">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.sinh.html#mlx.core.sinh">sinh() (in module mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.array.size.html#mlx.core.array.size">size (mlx.core.array property)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.softmax.html#mlx.core.softmax">softmax() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.sort.html#mlx.core.sort">sort() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.split.html#mlx.core.split">split() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.random.split.html#mlx.core.random.split">(in module mlx.core.random)</a>
+</li>
+        <li><a href="python/_autosummary/mlx.core.array.split.html#mlx.core.array.split">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.sqrt.html#mlx.core.sqrt">sqrt() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.sqrt.html#mlx.core.array.sqrt">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.square.html#mlx.core.square">square() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.square.html#mlx.core.array.square">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.squeeze.html#mlx.core.squeeze">squeeze() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.optimizers.Optimizer.html#mlx.optimizers.Optimizer.state">state (mlx.optimizers.Optimizer attribute)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.stop_gradient.html#mlx.core.stop_gradient">stop_gradient() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.Stream.html#mlx.core.Stream">Stream (class in mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.subtract.html#mlx.core.subtract">subtract() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.sum.html#mlx.core.sum">sum() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.sum.html#mlx.core.array.sum">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+</tr></table>
+
+<h2 id="T">T</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.array.T.html#mlx.core.array.T">T (mlx.core.array property)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.take.html#mlx.core.take">take() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.take_along_axis.html#mlx.core.take_along_axis">take_along_axis() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.tan.html#mlx.core.tan">tan() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.tanh.html#mlx.core.tanh">tanh() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.array.tolist.html#mlx.core.array.tolist">tolist() (mlx.core.array method)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/nn/module.html#mlx.nn.Module.trainable_parameters">trainable_parameters() (mlx.nn.Module method)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.transpose.html#mlx.core.transpose">transpose() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.transpose.html#mlx.core.array.transpose">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.utils.tree_flatten.html#mlx.utils.tree_flatten">tree_flatten() (in module mlx.utils)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.utils.tree_map.html#mlx.utils.tree_map">tree_map() (in module mlx.utils)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.utils.tree_unflatten.html#mlx.utils.tree_unflatten">tree_unflatten() (in module mlx.utils)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.random.truncated_normal.html#mlx.core.random.truncated_normal">truncated_normal() (in module mlx.core.random)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="U">U</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/nn/module.html#mlx.nn.Module.unfreeze">unfreeze() (mlx.nn.Module method)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.random.uniform.html#mlx.core.random.uniform">uniform() (in module mlx.core.random)</a>
+</li>
+      <li><a href="python/nn/module.html#mlx.nn.Module.update">update() (mlx.nn.Module method)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="V">V</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad">value_and_grad() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad">(in module mlx.nn)</a>
+</li>
+      </ul></li>
+      <li><a href="python/_autosummary/mlx.core.var.html#mlx.core.var">var() (in module mlx.core)</a>
+
+      <ul>
+        <li><a href="python/_autosummary/mlx.core.array.var.html#mlx.core.array.var">(mlx.core.array method)</a>
+</li>
+      </ul></li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.vjp.html#mlx.core.vjp">vjp() (in module mlx.core)</a>
+</li>
+      <li><a href="python/_autosummary/mlx.core.vmap.html#mlx.core.vmap">vmap() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="W">W</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.where.html#mlx.core.where">where() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+<h2 id="Z">Z</h2>
+<table style="width: 100%" class="indextable genindextable"><tr>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.zeros.html#mlx.core.zeros">zeros() (in module mlx.core)</a>
+</li>
+  </ul></td>
+  <td style="width: 33%; vertical-align: top;"><ul>
+      <li><a href="python/_autosummary/mlx.core.zeros_like.html#mlx.core.zeros_like">zeros_like() (in module mlx.core)</a>
+</li>
+  </ul></td>
+</tr></table>
+
+
+
+           </div>
+          </div>
+          <footer>
+
+  <hr/>
+
+  <div role="contentinfo">
+    <p>&#169; Copyright 2023, MLX Contributors.</p>
+  </div>
+
+  Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> using a
+    <a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a>
+    provided by <a href="https://readthedocs.org">Read the Docs</a>.
+   
+
+</footer>
+        </div>
+      </div>
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+  </div>
+  <script>
+      jQuery(function () {
+          SphinxRtdTheme.Navigation.enable(true);
+      });
+  </script> 
+
+</body>
+</html>
\ No newline at end of file
diff --git a/docs/build/html/index.html b/docs/build/html/index.html
new file mode 100644
index 000000000..0b896db8a
--- /dev/null
+++ b/docs/build/html/index.html
@@ -0,0 +1,188 @@
+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
+
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>MLX &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="_static/pygments.css" type="text/css" />
+      <link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
+  <!--[if lt IE 9]>
+    <script src="_static/js/html5shiv.min.js"></script>
+  <![endif]-->
+  
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+    <link rel="index" title="Index" href="genindex.html" />
+    <link rel="search" title="Search" href="search.html" />
+    <link rel="next" title="Build and Install" href="install.html" /> 
+</head>
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+<body class="wy-body-for-nav"> 
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+
+          
+          
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+          </a>
+              <div class="version">
+                0.0.0
+              </div>
+<div role="search">
+  <form id="rtd-search-form" class="wy-form" action="search.html" method="get">
+    <input type="text" name="q" placeholder="Search docs" aria-label="Search docs" />
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+</div>
+        </div><div class="wy-menu wy-menu-vertical" data-spy="affix" role="navigation" aria-label="Navigation menu">
+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="install.html">Build and Install</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/random.html">Random</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="cpp/ops.html">Operations</a></li>
+</ul>
+
+        </div>
+      </div>
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+
+    <section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" >
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+      <li class="wy-breadcrumbs-aside">
+            <a href="_sources/index.rst.txt" rel="nofollow"> View page source</a>
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+  <hr/>
+</div>
+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="mlx">
+<h1>MLX<a class="headerlink" href="#mlx" title="Permalink to this heading"></a></h1>
+<div class="toctree-wrapper compound">
+<p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="install.html">Build and Install</a></li>
+</ul>
+</div>
+<div class="toctree-wrapper compound">
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="using_streams.html">Using Streams</a></li>
+</ul>
+</div>
+<div class="toctree-wrapper compound">
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/llama-inference.html">LLM inference</a></li>
+</ul>
+</div>
+<div class="toctree-wrapper compound">
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="dev/extensions.html">Developer Documentation</a></li>
+</ul>
+</div>
+<div class="toctree-wrapper compound">
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/random.html">Random</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/tree_utils.html">Tree Utils</a></li>
+</ul>
+</div>
+<div class="toctree-wrapper compound">
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="cpp/ops.html">Operations</a></li>
+</ul>
+</div>
+</section>
+
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+
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+    <p>&#169; Copyright 2023, MLX Contributors.</p>
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+  Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> using a
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diff --git a/docs/build/html/install.html b/docs/build/html/install.html
new file mode 100644
index 000000000..c880d6e80
--- /dev/null
+++ b/docs/build/html/install.html
@@ -0,0 +1,244 @@
+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
+
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Build and Install &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="_static/pygments.css" type="text/css" />
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+    <script src="_static/js/html5shiv.min.js"></script>
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+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul class="current">
+<li class="toctree-l1 current"><a class="current reference internal" href="#">Build and Install</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="#install-from-pypi">Install from PyPI</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#build-from-source">Build from source</a><ul>
+<li class="toctree-l3"><a class="reference internal" href="#build-requirements">Build Requirements</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#python-api">Python API</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#c-api">C++ API</a></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/random.html">Random</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="cpp/ops.html">Operations</a></li>
+</ul>
+
+        </div>
+      </div>
+    </nav>
+
+    <section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" >
+          <i data-toggle="wy-nav-top" class="fa fa-bars"></i>
+          <a href="index.html">MLX</a>
+      </nav>
+
+      <div class="wy-nav-content">
+        <div class="rst-content">
+          <div role="navigation" aria-label="Page navigation">
+  <ul class="wy-breadcrumbs">
+      <li><a href="index.html" class="icon icon-home" aria-label="Home"></a></li>
+      <li class="breadcrumb-item active">Build and Install</li>
+      <li class="wy-breadcrumbs-aside">
+            <a href="_sources/install.rst.txt" rel="nofollow"> View page source</a>
+      </li>
+  </ul>
+  <hr/>
+</div>
+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="build-and-install">
+<h1>Build and Install<a class="headerlink" href="#build-and-install" title="Permalink to this heading"></a></h1>
+<section id="install-from-pypi">
+<h2>Install from PyPI<a class="headerlink" href="#install-from-pypi" title="Permalink to this heading"></a></h2>
+<p>MLX is available at Apple’s internal PyPI repository. All you have to do to use
+MLX with your own Apple silicon computer is</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>pip<span class="w"> </span>install<span class="w"> </span>apple-mlx<span class="w"> </span>-i<span class="w"> </span>https://pypi.apple.com/simple
+</pre></div>
+</div>
+</section>
+<section id="build-from-source">
+<h2>Build from source<a class="headerlink" href="#build-from-source" title="Permalink to this heading"></a></h2>
+<section id="build-requirements">
+<h3>Build Requirements<a class="headerlink" href="#build-requirements" title="Permalink to this heading"></a></h3>
+<ul class="simple">
+<li><p>A C++ compiler with C++17 support (e.g. Clang &gt;= 5.0)</p></li>
+<li><p><a class="reference external" href="https://cmake.org/">cmake</a> – version 3.24 or later, and <code class="docutils literal notranslate"><span class="pre">make</span></code></p></li>
+</ul>
+</section>
+<section id="python-api">
+<h3>Python API<a class="headerlink" href="#python-api" title="Permalink to this heading"></a></h3>
+<p>To build and install the MLX python library from source, first, clone MLX from
+<a class="reference external" href="https://github.com/ml-explore/mlx">its GitHub repo</a>:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>git<span class="w"> </span>clone<span class="w"> </span>git@github.com:ml-explore/mlx.git<span class="w"> </span>mlx<span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="nb">cd</span><span class="w"> </span>mlx
+</pre></div>
+</div>
+<p>Make sure that you have <a class="reference external" href="https://pybind11.readthedocs.io/en/stable/index.html">pybind11</a>
+installed. You can install <code class="docutils literal notranslate"><span class="pre">pybind11</span></code> with <code class="docutils literal notranslate"><span class="pre">pip</span></code>, <code class="docutils literal notranslate"><span class="pre">brew</span></code> or <code class="docutils literal notranslate"><span class="pre">conda</span></code> as follows:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>pip<span class="w"> </span>install<span class="w"> </span><span class="s2">&quot;pybind11[global]&quot;</span>
+conda<span class="w"> </span>install<span class="w"> </span>pybind11
+brew<span class="w"> </span>install<span class="w"> </span>pybind11
+</pre></div>
+</div>
+<p>Then simply build and install it using pip:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>env<span class="w"> </span><span class="nv">CMAKE_BUILD_PARALLEL_LEVEL</span><span class="o">=</span><span class="s2">&quot;&quot;</span><span class="w"> </span>pip<span class="w"> </span>install<span class="w"> </span>.
+</pre></div>
+</div>
+</section>
+<section id="c-api">
+<h3>C++ API<a class="headerlink" href="#c-api" title="Permalink to this heading"></a></h3>
+<p>Currently, MLX must be built and installed from source.</p>
+<p>Similarly to the python library, to build and install the MLX C++ library start
+by cloning MLX from <a class="reference external" href="https://github.com/ml-explore/mlx">its GitHub repo</a>:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>git<span class="w"> </span>clone<span class="w"> </span>git@github.com:ml-explore/mlx.git<span class="w"> </span>mlx<span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="nb">cd</span><span class="w"> </span>mlx
+</pre></div>
+</div>
+<p>Create a build directory and run CMake and make:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>mkdir<span class="w"> </span>-p<span class="w"> </span>build<span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="nb">cd</span><span class="w"> </span>build
+cmake<span class="w"> </span>..<span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span>make<span class="w"> </span>-j
+</pre></div>
+</div>
+<p>Run tests with:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>make<span class="w"> </span><span class="nb">test</span>
+</pre></div>
+</div>
+<p>Install with:</p>
+<div class="highlight-shell notranslate"><div class="highlight"><pre><span></span>make<span class="w"> </span>install
+</pre></div>
+</div>
+<p>Note that the built <code class="docutils literal notranslate"><span class="pre">mlx.metallib</span></code> file should be either at the same
+directory as the executable statically linked to <code class="docutils literal notranslate"><span class="pre">libmlx.a</span></code> or the
+preprocessor constant <code class="docutils literal notranslate"><span class="pre">METAL_PATH</span></code> should be defined at build time and it
+should point to the path to the built metal library.</p>
+<table class="docutils align-default" id="id2">
+<caption><span class="caption-text">Build Options</span><a class="headerlink" href="#id2" title="Permalink to this table"></a></caption>
+<colgroup>
+<col style="width: 76%" />
+<col style="width: 24%" />
+</colgroup>
+<thead>
+<tr class="row-odd"><th class="head"><p>Option</p></th>
+<th class="head"><p>Default</p></th>
+</tr>
+</thead>
+<tbody>
+<tr class="row-even"><td><p>MLX_BUILD_TESTS</p></td>
+<td><p>ON</p></td>
+</tr>
+<tr class="row-odd"><td><p>MLX_BUILD_EXAMPLES</p></td>
+<td><p>OFF</p></td>
+</tr>
+<tr class="row-even"><td><p>MLX_BUILD_BENCHMARKS</p></td>
+<td><p>OFF</p></td>
+</tr>
+<tr class="row-odd"><td><p>MLX_BUILD_METAL</p></td>
+<td><p>ON</p></td>
+</tr>
+<tr class="row-even"><td><p>MLX_BUILD_PYTHON_BINDINGS</p></td>
+<td><p>OFF</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+</section>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="index.html" class="btn btn-neutral float-left" title="MLX" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
+        <a href="quick_start.html" class="btn btn-neutral float-right" title="Quick Start Guide" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a>
+    </div>
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+
+  <div role="contentinfo">
+    <p>&#169; Copyright 2023, MLX Contributors.</p>
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new file mode 100644
index 000000000..3d9bfbece
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+             
+  <section id="mlx-core-device">
+<h1>mlx.core.Device<a class="headerlink" href="#mlx-core-device" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.core.Device">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">Device</span></span><a class="headerlink" href="#mlx.core.Device" title="Permalink to this definition"></a></dt>
+<dd><dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.Device.__init__">
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">type</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">mlx.core.DeviceType</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.Device.__init__" title="Permalink to this definition"></a></dt>
+<dd></dd></dl>
+
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="#mlx.core.Device.__init__" title="mlx.core.Device.__init__"><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code></a>(self, type[, index])</p></td>
+<td><p></p></td>
+</tr>
+</tbody>
+</table>
+<p class="rubric">Attributes</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">type</span></code></p></td>
+<td><p></p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
+</section>
+
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diff --git a/docs/build/html/python/_autosummary/mlx.core.Dtype.html b/docs/build/html/python/_autosummary/mlx.core.Dtype.html
new file mode 100644
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+  <section id="mlx-core-dtype">
+<h1>mlx.core.Dtype<a class="headerlink" href="#mlx-core-dtype" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.core.Dtype">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">Dtype</span></span><a class="headerlink" href="#mlx.core.Dtype" title="Permalink to this definition"></a></dt>
+<dd><p>An object to hold the type of a <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p>
+<p>See the <a class="reference internal" href="../data_types.html#data-types"><span class="std std-ref">list of types</span></a> for more details
+on available data types.</p>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.Dtype.__init__">
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.core.Dtype.__init__" title="Permalink to this definition"></a></dt>
+<dd></dd></dl>
+
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="#mlx.core.Dtype.__init__" title="mlx.core.Dtype.__init__"><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code></a>(*args, **kwargs)</p></td>
+<td><p></p></td>
+</tr>
+</tbody>
+</table>
+<p class="rubric">Attributes</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">size</span></code></p></td>
+<td><p>Size of the type in bytes.</p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
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diff --git a/docs/build/html/python/_autosummary/mlx.core.Stream.html b/docs/build/html/python/_autosummary/mlx.core.Stream.html
new file mode 100644
index 000000000..dd0be74d5
--- /dev/null
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@@ -0,0 +1,179 @@
+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
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+  <title>mlx.core.Stream &mdash; MLX 0.0.0 documentation</title>
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+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../../examples/linear_regression.html">Linear Regression</a></li>
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+<li class="toctree-l1"><a class="reference internal" href="../../examples/llama-inference.html">LLM inference</a></li>
+</ul>
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+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../../dev/extensions.html">Developer Documentation</a></li>
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+<li class="toctree-l1 current"><a class="reference internal" href="../devices_and_streams.html">Devices and Streams</a><ul class="current">
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+<li class="toctree-l2 current"><a class="current reference internal" href="#">mlx.core.Stream</a></li>
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+            <a href="../../_sources/python/_autosummary/mlx.core.Stream.rst.txt" rel="nofollow"> View page source</a>
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+           <div itemprop="articleBody">
+             
+  <section id="mlx-core-stream">
+<h1>mlx.core.Stream<a class="headerlink" href="#mlx-core-stream" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.core.Stream">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">Stream</span></span><a class="headerlink" href="#mlx.core.Stream" title="Permalink to this definition"></a></dt>
+<dd><dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.Stream.__init__">
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">index</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">device</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.Stream.__init__" title="Permalink to this definition"></a></dt>
+<dd></dd></dl>
+
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="#mlx.core.Stream.__init__" title="mlx.core.Stream.__init__"><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code></a>(self, index, device)</p></td>
+<td><p></p></td>
+</tr>
+</tbody>
+</table>
+<p class="rubric">Attributes</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">device</span></code></p></td>
+<td><p></p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="mlx.core.set_default_device.html" class="btn btn-neutral float-left" title="mlx.core.set_default_device" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
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+    <a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a>
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diff --git a/docs/build/html/python/_autosummary/mlx.core.abs.html b/docs/build/html/python/_autosummary/mlx.core.abs.html
new file mode 100644
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+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
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+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../../examples/linear_regression.html">Linear Regression</a></li>
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+<li class="toctree-l1"><a class="reference internal" href="../../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../../dev/extensions.html">Developer Documentation</a></li>
+</ul>
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+<dd><p>Element-wise absolute value.</p>
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+  <section id="mlx-core-add">
+<h1>mlx.core.add<a class="headerlink" href="#mlx-core-add" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.add">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">add</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.add" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise addition.</p>
+<p>Add two arrays with numpy-style broadcasting semantics. Either or both input arrays
+can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The sum of <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+</section>
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+  <section id="mlx-core-all">
+<h1>mlx.core.all<a class="headerlink" href="#mlx-core-all" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.all">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">all</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.all" title="Permalink to this definition"></a></dt>
+<dd><p>An <cite>and</cite> reduction over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-allclose">
+<h1>mlx.core.allclose<a class="headerlink" href="#mlx-core-allclose" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.allclose">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">allclose</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">rtol</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-05</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">atol</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-08</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.allclose" title="Permalink to this definition"></a></dt>
+<dd><p>Approximate comparison of two arrays.</p>
+<p>The arrays are considered equal if:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="nb">all</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">a</span> <span class="o">-</span> <span class="n">b</span><span class="p">)</span> <span class="o">&lt;=</span> <span class="p">(</span><span class="n">atol</span> <span class="o">+</span> <span class="n">rtol</span> <span class="o">*</span> <span class="nb">abs</span><span class="p">(</span><span class="n">b</span><span class="p">)))</span>
+</pre></div>
+</div>
+<p>Note unlike <a class="reference internal" href="mlx.core.array_equal.html#mlx.core.array_equal" title="mlx.core.array_equal"><code class="xref py py-func docutils literal notranslate"><span class="pre">array_equal()</span></code></a>, this function supports numpy-style
+broadcasting.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>rtol</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – Relative tolerance.</p></li>
+<li><p><strong>atol</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – Absolute tolerance.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The boolean output scalar indicating if the arrays are close.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-any">
+<h1>mlx.core.any<a class="headerlink" href="#mlx-core-any" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.any">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">any</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.any" title="Permalink to this definition"></a></dt>
+<dd><p>An <cite>or</cite> reduction over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-arange">
+<h1>mlx.core.arange<a class="headerlink" href="#mlx-core-arange" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.arange">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arange</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">start</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stop</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">step</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arange" title="Permalink to this definition"></a></dt>
+<dd><p>Generates ranges of numbers.</p>
+<p>Generate numbers in the half-open interval <code class="docutils literal notranslate"><span class="pre">[start,</span> <span class="pre">stop)</span></code> in
+increments of <code class="docutils literal notranslate"><span class="pre">step</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>start</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Starting value which defaults to <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+<li><p><strong>stop</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – Stopping value.</p></li>
+<li><p><strong>step</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Increment which defaults to <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Specifies the data type of the output.
+If unspecified will default to <code class="docutils literal notranslate"><span class="pre">float32</span></code> if any of <code class="docutils literal notranslate"><span class="pre">start</span></code>,
+<code class="docutils literal notranslate"><span class="pre">stop</span></code>, or <code class="docutils literal notranslate"><span class="pre">step</span></code> are <code class="docutils literal notranslate"><span class="pre">float</span></code>. Otherwise will default to
+<code class="docutils literal notranslate"><span class="pre">int32</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The range of values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p>Following the Numpy convention the actual increment used to
+generate numbers is <code class="docutils literal notranslate"><span class="pre">dtype(start</span> <span class="pre">+</span> <span class="pre">step)</span> <span class="pre">-</span> <span class="pre">dtype(start)</span></code>.
+This can lead to unexpected results for example if <cite>start + step</cite>
+is a fractional value and the <cite>dtype</cite> is integral.</p>
+</div>
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+
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+  <section id="mlx-core-arccos">
+<h1>mlx.core.arccos<a class="headerlink" href="#mlx-core-arccos" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.arccos">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arccos</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arccos" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse cosine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse cosine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-arccosh">
+<h1>mlx.core.arccosh<a class="headerlink" href="#mlx-core-arccosh" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.arccosh">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arccosh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arccosh" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse hyperbolic cosine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse hyperbolic cosine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-arcsin">
+<h1>mlx.core.arcsin<a class="headerlink" href="#mlx-core-arcsin" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.arcsin">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arcsin</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arcsin" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse sine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse sine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-arcsinh">
+<h1>mlx.core.arcsinh<a class="headerlink" href="#mlx-core-arcsinh" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.arcsinh">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arcsinh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arcsinh" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse hyperbolic sine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse hyperbolic sine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-arctan">
+<h1>mlx.core.arctan<a class="headerlink" href="#mlx-core-arctan" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.arctan">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arctan</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arctan" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse tangent.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse tangent of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">arctanh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.arctanh" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse hyperbolic tangent.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse hyperbolic tangent of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.argmax">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">argmax</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.argmax" title="Permalink to this definition"></a></dt>
+<dd><p>Indices of the maximum values along the axis.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Optional axis to reduce over. If unspecified
+this defaults to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the indices of the minimum values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">argmin</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.argmin" title="Permalink to this definition"></a></dt>
+<dd><p>Indices of the minimum values along the axis.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Optional axis to reduce over. If unspecified
+this defaults to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the indices of the minimum values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<h1>mlx.core.argpartition<a class="headerlink" href="#mlx-core-argpartition" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.argpartition">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">argpartition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">kth</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.argpartition" title="Permalink to this definition"></a></dt>
+<dd><p>Returns the indices that partition the array.</p>
+<p>The ordering of the elements within a partition in given by the indices
+is undefined.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>kth</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – Element index at the <code class="docutils literal notranslate"><span class="pre">kth</span></code> position in the output will
+give the sorted position. All indices before the <code class="docutils literal notranslate"><span class="pre">kth</span></code> position
+will be of elements less or equal to the element at the <code class="docutils literal notranslate"><span class="pre">kth</span></code>
+index and all indices after will be of elements greater or equal
+to the element at the <code class="docutils literal notranslate"><span class="pre">kth</span></code> index.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><em>None</em><em>, </em><em>optional</em>) – Optional axis to partiton over.
+If <code class="docutils literal notranslate"><span class="pre">None</span></code>, this partitions over the flattened array.
+If unspecified, it defaults to <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The indices that partition the input array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<h1>mlx.core.argsort<a class="headerlink" href="#mlx-core-argsort" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.argsort">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">argsort</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.argsort" title="Permalink to this definition"></a></dt>
+<dd><p>Returns the indices that sort the array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><em>None</em><em>, </em><em>optional</em>) – Optional axis to sort over.
+If <code class="docutils literal notranslate"><span class="pre">None</span></code>, this sorts over the flattened array.
+If unspecified, it defaults to -1 (sorting over the last axis).</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The indices that sort the input array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-array-t">
+<h1>mlx.core.array.T<a class="headerlink" href="#mlx-core-array-t" title="Permalink to this heading"></a></h1>
+<dl class="py property">
+<dt class="sig sig-object py" id="mlx.core.array.T">
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">T</span></span><a class="headerlink" href="#mlx.core.array.T" title="Permalink to this definition"></a></dt>
+<dd><p>Equivalent to calling <code class="docutils literal notranslate"><span class="pre">self.transpose()</span></code> with no arguments.</p>
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+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">abs</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.abs" title="Permalink to this definition"></a></dt>
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+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">all</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.all" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.all.html#mlx.core.all" title="mlx.core.all"><code class="xref py py-func docutils literal notranslate"><span class="pre">all()</span></code></a>.</p>
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+  <section id="mlx-core-array-any">
+<h1>mlx.core.array.any<a class="headerlink" href="#mlx-core-array-any" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.any">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">any</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.any" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.any.html#mlx.core.any" title="mlx.core.any"><code class="xref py py-func docutils literal notranslate"><span class="pre">any()</span></code></a>.</p>
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+  <section id="mlx-core-array-argmax">
+<h1>mlx.core.array.argmax<a class="headerlink" href="#mlx-core-array-argmax" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.argmax">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">argmax</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.argmax" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.argmax.html#mlx.core.argmax" title="mlx.core.argmax"><code class="xref py py-func docutils literal notranslate"><span class="pre">argmax()</span></code></a>.</p>
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+  <section id="mlx-core-array-argmin">
+<h1>mlx.core.array.argmin<a class="headerlink" href="#mlx-core-array-argmin" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.argmin">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">argmin</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.argmin" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.argmin.html#mlx.core.argmin" title="mlx.core.argmin"><code class="xref py py-func docutils literal notranslate"><span class="pre">argmin()</span></code></a>.</p>
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+  <section id="mlx-core-array-astype">
+<h1>mlx.core.array.astype<a class="headerlink" href="#mlx-core-array-astype" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.astype">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">astype</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.astype" title="Permalink to this definition"></a></dt>
+<dd><p>Cast the array to a specified type.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a>) – Type to which the array is cast.</p></li>
+<li><p><strong>stream</strong> (<a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><em>Stream</em></a>) – Stream (or device) for the operation.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array with type <code class="docutils literal notranslate"><span class="pre">dtype</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-array-cos">
+<h1>mlx.core.array.cos<a class="headerlink" href="#mlx-core-array-cos" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.cos">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">cos</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.cos" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.cos.html#mlx.core.cos" title="mlx.core.cos"><code class="xref py py-func docutils literal notranslate"><span class="pre">cos()</span></code></a>.</p>
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+  <section id="mlx-core-array-exp">
+<h1>mlx.core.array.exp<a class="headerlink" href="#mlx-core-array-exp" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.exp">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">exp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.exp" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.exp.html#mlx.core.exp" title="mlx.core.exp"><code class="xref py py-func docutils literal notranslate"><span class="pre">exp()</span></code></a>.</p>
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+  <section id="mlx-core-array">
+<h1>mlx.core.array<a class="headerlink" href="#mlx-core-array" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.core.array">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">array</span></span><a class="headerlink" href="#mlx.core.array" title="Permalink to this definition"></a></dt>
+<dd><p>An N-dimensional array object.</p>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.__init__">
+<span class="sig-name descname"><span class="pre">__init__</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.core.array.__init__" title="Permalink to this definition"></a></dt>
+<dd><p>Overloaded function.</p>
+<ol class="arabic simple">
+<li><p>__init__(self: mlx.core.array, val: Union[bool, int, float, complex, mlx.core.array], dtype: Optional[mlx.core.Dtype] = None) -&gt; None</p></li>
+<li><p>__init__(self: mlx.core.array, vals: Union[list, tuple], dtype: Optional[mlx.core.Dtype] = None) -&gt; None</p></li>
+<li><p>__init__(self: mlx.core.array, vals: numpy.ndarray, dtype: Optional[mlx.core.Dtype] = None) -&gt; None</p></li>
+<li><p>__init__(self: mlx.core.array, vals: buffer, dtype: Optional[mlx.core.Dtype] = None) -&gt; None</p></li>
+</ol>
+</dd></dl>
+
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="#mlx.core.array.__init__" title="mlx.core.array.__init__"><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code></a>(*args, **kwargs)</p></td>
+<td><p>Overloaded function.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.abs.html#mlx.core.array.abs" title="mlx.core.array.abs"><code class="xref py py-obj docutils literal notranslate"><span class="pre">abs</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.abs.html#mlx.core.abs" title="mlx.core.abs"><code class="xref py py-func docutils literal notranslate"><span class="pre">abs()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.all.html#mlx.core.array.all" title="mlx.core.array.all"><code class="xref py py-obj docutils literal notranslate"><span class="pre">all</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.all.html#mlx.core.all" title="mlx.core.all"><code class="xref py py-func docutils literal notranslate"><span class="pre">all()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.any.html#mlx.core.array.any" title="mlx.core.array.any"><code class="xref py py-obj docutils literal notranslate"><span class="pre">any</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.any.html#mlx.core.any" title="mlx.core.any"><code class="xref py py-func docutils literal notranslate"><span class="pre">any()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.argmax.html#mlx.core.array.argmax" title="mlx.core.array.argmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">argmax</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.argmax.html#mlx.core.argmax" title="mlx.core.argmax"><code class="xref py py-func docutils literal notranslate"><span class="pre">argmax()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.argmin.html#mlx.core.array.argmin" title="mlx.core.array.argmin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">argmin</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.argmin.html#mlx.core.argmin" title="mlx.core.argmin"><code class="xref py py-func docutils literal notranslate"><span class="pre">argmin()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.astype.html#mlx.core.array.astype" title="mlx.core.array.astype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">astype</span></code></a>(self, dtype[, stream])</p></td>
+<td><p>Cast the array to a specified type.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.cos.html#mlx.core.array.cos" title="mlx.core.array.cos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cos</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.cos.html#mlx.core.cos" title="mlx.core.cos"><code class="xref py py-func docutils literal notranslate"><span class="pre">cos()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">cummax</span></code>(self[, axis, reverse, inclusive, stream])</p></td>
+<td><p>See <code class="xref py py-func docutils literal notranslate"><span class="pre">cummax()</span></code>.</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">cummin</span></code>(self[, axis, reverse, inclusive, stream])</p></td>
+<td><p>See <code class="xref py py-func docutils literal notranslate"><span class="pre">cummin()</span></code>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">cumprod</span></code>(self[, axis, reverse, inclusive, stream])</p></td>
+<td><p>See <code class="xref py py-func docutils literal notranslate"><span class="pre">cumprod()</span></code>.</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">cumsum</span></code>(self[, axis, reverse, inclusive, stream])</p></td>
+<td><p>See <code class="xref py py-func docutils literal notranslate"><span class="pre">cumsum()</span></code>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.exp.html#mlx.core.array.exp" title="mlx.core.array.exp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">exp</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.exp.html#mlx.core.exp" title="mlx.core.exp"><code class="xref py py-func docutils literal notranslate"><span class="pre">exp()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.item.html#mlx.core.array.item" title="mlx.core.array.item"><code class="xref py py-obj docutils literal notranslate"><span class="pre">item</span></code></a>(self)</p></td>
+<td><p>Access the value of a scalar array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.log.html#mlx.core.array.log" title="mlx.core.array.log"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.log.html#mlx.core.log" title="mlx.core.log"><code class="xref py py-func docutils literal notranslate"><span class="pre">log()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">log10</span></code>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.log10.html#mlx.core.log10" title="mlx.core.log10"><code class="xref py py-func docutils literal notranslate"><span class="pre">log10()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.log1p.html#mlx.core.array.log1p" title="mlx.core.array.log1p"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log1p</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.log1p.html#mlx.core.log1p" title="mlx.core.log1p"><code class="xref py py-func docutils literal notranslate"><span class="pre">log1p()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">log2</span></code>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.log2.html#mlx.core.log2" title="mlx.core.log2"><code class="xref py py-func docutils literal notranslate"><span class="pre">log2()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.logsumexp.html#mlx.core.array.logsumexp" title="mlx.core.array.logsumexp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logsumexp</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.logsumexp.html#mlx.core.logsumexp" title="mlx.core.logsumexp"><code class="xref py py-func docutils literal notranslate"><span class="pre">logsumexp()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.max.html#mlx.core.array.max" title="mlx.core.array.max"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.max.html#mlx.core.max" title="mlx.core.max"><code class="xref py py-func docutils literal notranslate"><span class="pre">max()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.mean.html#mlx.core.array.mean" title="mlx.core.array.mean"><code class="xref py py-obj docutils literal notranslate"><span class="pre">mean</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.mean.html#mlx.core.mean" title="mlx.core.mean"><code class="xref py py-func docutils literal notranslate"><span class="pre">mean()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.min.html#mlx.core.array.min" title="mlx.core.array.min"><code class="xref py py-obj docutils literal notranslate"><span class="pre">min</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.min.html#mlx.core.min" title="mlx.core.min"><code class="xref py py-func docutils literal notranslate"><span class="pre">min()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.prod.html#mlx.core.array.prod" title="mlx.core.array.prod"><code class="xref py py-obj docutils literal notranslate"><span class="pre">prod</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.prod.html#mlx.core.prod" title="mlx.core.prod"><code class="xref py py-func docutils literal notranslate"><span class="pre">prod()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.reciprocal.html#mlx.core.array.reciprocal" title="mlx.core.array.reciprocal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">reciprocal</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.reciprocal.html#mlx.core.reciprocal" title="mlx.core.reciprocal"><code class="xref py py-func docutils literal notranslate"><span class="pre">reciprocal()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.reshape.html#mlx.core.array.reshape" title="mlx.core.array.reshape"><code class="xref py py-obj docutils literal notranslate"><span class="pre">reshape</span></code></a>(self, *args[, stream])</p></td>
+<td><p>Equivalent to <a class="reference internal" href="mlx.core.reshape.html#mlx.core.reshape" title="mlx.core.reshape"><code class="xref py py-func docutils literal notranslate"><span class="pre">reshape()</span></code></a> but the shape can be passed either as a tuple or as separate arguments.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.rsqrt.html#mlx.core.array.rsqrt" title="mlx.core.array.rsqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rsqrt</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.rsqrt.html#mlx.core.rsqrt" title="mlx.core.rsqrt"><code class="xref py py-func docutils literal notranslate"><span class="pre">rsqrt()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.sin.html#mlx.core.array.sin" title="mlx.core.array.sin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sin</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.sin.html#mlx.core.sin" title="mlx.core.sin"><code class="xref py py-func docutils literal notranslate"><span class="pre">sin()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.split.html#mlx.core.array.split" title="mlx.core.array.split"><code class="xref py py-obj docutils literal notranslate"><span class="pre">split</span></code></a>(self, indices_or_sections[, axis, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.split.html#mlx.core.split" title="mlx.core.split"><code class="xref py py-func docutils literal notranslate"><span class="pre">split()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.sqrt.html#mlx.core.array.sqrt" title="mlx.core.array.sqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sqrt</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.sqrt.html#mlx.core.sqrt" title="mlx.core.sqrt"><code class="xref py py-func docutils literal notranslate"><span class="pre">sqrt()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.square.html#mlx.core.array.square" title="mlx.core.array.square"><code class="xref py py-obj docutils literal notranslate"><span class="pre">square</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.square.html#mlx.core.square" title="mlx.core.square"><code class="xref py py-func docutils literal notranslate"><span class="pre">square()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">squeeze</span></code>(self[, axis, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.squeeze.html#mlx.core.squeeze" title="mlx.core.squeeze"><code class="xref py py-func docutils literal notranslate"><span class="pre">squeeze()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.sum.html#mlx.core.array.sum" title="mlx.core.array.sum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sum</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.sum.html#mlx.core.sum" title="mlx.core.sum"><code class="xref py py-func docutils literal notranslate"><span class="pre">sum()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.tolist.html#mlx.core.array.tolist" title="mlx.core.array.tolist"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tolist</span></code></a>(self)</p></td>
+<td><p>Convert the array to a Python <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">list</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.transpose.html#mlx.core.array.transpose" title="mlx.core.array.transpose"><code class="xref py py-obj docutils literal notranslate"><span class="pre">transpose</span></code></a>(self, *args[, stream])</p></td>
+<td><p>Equivalent to <a class="reference internal" href="mlx.core.transpose.html#mlx.core.transpose" title="mlx.core.transpose"><code class="xref py py-func docutils literal notranslate"><span class="pre">transpose()</span></code></a> but the axes can be passed either as a tuple or as separate arguments.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.var.html#mlx.core.array.var" title="mlx.core.array.var"><code class="xref py py-obj docutils literal notranslate"><span class="pre">var</span></code></a>(self[, axis, keepdims, ddof, stream])</p></td>
+<td><p>See <a class="reference internal" href="mlx.core.var.html#mlx.core.var" title="mlx.core.var"><code class="xref py py-func docutils literal notranslate"><span class="pre">var()</span></code></a>.</p></td>
+</tr>
+</tbody>
+</table>
+<p class="rubric">Attributes</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.T.html#mlx.core.array.T" title="mlx.core.array.T"><code class="xref py py-obj docutils literal notranslate"><span class="pre">T</span></code></a></p></td>
+<td><p>Equivalent to calling <code class="docutils literal notranslate"><span class="pre">self.transpose()</span></code> with no arguments.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.dtype.html#mlx.core.array.dtype" title="mlx.core.array.dtype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">dtype</span></code></a></p></td>
+<td><p>The array's <a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dtype</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.ndim.html#mlx.core.array.ndim" title="mlx.core.array.ndim"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ndim</span></code></a></p></td>
+<td><p>The array's dimension.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="mlx.core.array.shape.html#mlx.core.array.shape" title="mlx.core.array.shape"><code class="xref py py-obj docutils literal notranslate"><span class="pre">shape</span></code></a></p></td>
+<td><p>The shape of the array as a Python list.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="mlx.core.array.size.html#mlx.core.array.size" title="mlx.core.array.size"><code class="xref py py-obj docutils literal notranslate"><span class="pre">size</span></code></a></p></td>
+<td><p>Number of elments in the array.</p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
+</section>
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+  <section id="mlx-core-array-item">
+<h1>mlx.core.array.item<a class="headerlink" href="#mlx-core-array-item" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.item">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">item</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span></span><a class="headerlink" href="#mlx.core.array.item" title="Permalink to this definition"></a></dt>
+<dd><p>Access the value of a scalar array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>Standard Python scalar.</p>
+</dd>
+</dl>
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+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">log</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.log" title="Permalink to this definition"></a></dt>
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+<h1>mlx.core.array.log1p<a class="headerlink" href="#mlx-core-array-log1p" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.log1p">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">log1p</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.log1p" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.log1p.html#mlx.core.log1p" title="mlx.core.log1p"><code class="xref py py-func docutils literal notranslate"><span class="pre">log1p()</span></code></a>.</p>
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+  <section id="mlx-core-array-logsumexp">
+<h1>mlx.core.array.logsumexp<a class="headerlink" href="#mlx-core-array-logsumexp" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.logsumexp">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">logsumexp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.logsumexp" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.logsumexp.html#mlx.core.logsumexp" title="mlx.core.logsumexp"><code class="xref py py-func docutils literal notranslate"><span class="pre">logsumexp()</span></code></a>.</p>
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+<h1>mlx.core.array.max<a class="headerlink" href="#mlx-core-array-max" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.max">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">max</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.max" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.max.html#mlx.core.max" title="mlx.core.max"><code class="xref py py-func docutils literal notranslate"><span class="pre">max()</span></code></a>.</p>
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+<dl class="py method">
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+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">mean</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.mean" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.mean.html#mlx.core.mean" title="mlx.core.mean"><code class="xref py py-func docutils literal notranslate"><span class="pre">mean()</span></code></a>.</p>
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+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.min">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">min</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.min" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.min.html#mlx.core.min" title="mlx.core.min"><code class="xref py py-func docutils literal notranslate"><span class="pre">min()</span></code></a>.</p>
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+<h1>mlx.core.array.reshape<a class="headerlink" href="#mlx-core-array-reshape" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.reshape">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">reshape</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.reshape" title="Permalink to this definition"></a></dt>
+<dd><p>Equivalent to <a class="reference internal" href="mlx.core.reshape.html#mlx.core.reshape" title="mlx.core.reshape"><code class="xref py py-func docutils literal notranslate"><span class="pre">reshape()</span></code></a> but the shape can be passed either as a
+tuple or as separate arguments.</p>
+<p>See <a class="reference internal" href="mlx.core.reshape.html#mlx.core.reshape" title="mlx.core.reshape"><code class="xref py py-func docutils literal notranslate"><span class="pre">reshape()</span></code></a> for full documentation.</p>
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+<h1>mlx.core.array.rsqrt<a class="headerlink" href="#mlx-core-array-rsqrt" title="Permalink to this heading"></a></h1>
+<dl class="py method">
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+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">rsqrt</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.rsqrt" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.rsqrt.html#mlx.core.rsqrt" title="mlx.core.rsqrt"><code class="xref py py-func docutils literal notranslate"><span class="pre">rsqrt()</span></code></a>.</p>
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+  <section id="mlx-core-array-shape">
+<h1>mlx.core.array.shape<a class="headerlink" href="#mlx-core-array-shape" title="Permalink to this heading"></a></h1>
+<dl class="py property">
+<dt class="sig sig-object py" id="mlx.core.array.shape">
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">shape</span></span><a class="headerlink" href="#mlx.core.array.shape" title="Permalink to this definition"></a></dt>
+<dd><p>The shape of the array as a Python list.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>A list containing the sizes of each dimension.</p>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a>(<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>)</p>
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+  <section id="mlx-core-array-sin">
+<h1>mlx.core.array.sin<a class="headerlink" href="#mlx-core-array-sin" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.sin">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">sin</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.sin" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.sin.html#mlx.core.sin" title="mlx.core.sin"><code class="xref py py-func docutils literal notranslate"><span class="pre">sin()</span></code></a>.</p>
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+  <section id="mlx-core-array-size">
+<h1>mlx.core.array.size<a class="headerlink" href="#mlx-core-array-size" title="Permalink to this heading"></a></h1>
+<dl class="py property">
+<dt class="sig sig-object py" id="mlx.core.array.size">
+<em class="property"><span class="pre">property</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">size</span></span><a class="headerlink" href="#mlx.core.array.size" title="Permalink to this definition"></a></dt>
+<dd><p>Number of elments in the array.</p>
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+  <section id="mlx-core-array-split">
+<h1>mlx.core.array.split<a class="headerlink" href="#mlx-core-array-split" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.split">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">split</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">indices_or_sections</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#mlx.core.array.split" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.split.html#mlx.core.split" title="mlx.core.split"><code class="xref py py-func docutils literal notranslate"><span class="pre">split()</span></code></a>.</p>
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+<h1>mlx.core.array.sqrt<a class="headerlink" href="#mlx-core-array-sqrt" title="Permalink to this heading"></a></h1>
+<dl class="py method">
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+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">sqrt</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.sqrt" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.sqrt.html#mlx.core.sqrt" title="mlx.core.sqrt"><code class="xref py py-func docutils literal notranslate"><span class="pre">sqrt()</span></code></a>.</p>
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+<h1>mlx.core.array.square<a class="headerlink" href="#mlx-core-array-square" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.square">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">square</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.square" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.square.html#mlx.core.square" title="mlx.core.square"><code class="xref py py-func docutils literal notranslate"><span class="pre">square()</span></code></a>.</p>
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+<h1>mlx.core.array.sum<a class="headerlink" href="#mlx-core-array-sum" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.sum">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">sum</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.sum" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.sum.html#mlx.core.sum" title="mlx.core.sum"><code class="xref py py-func docutils literal notranslate"><span class="pre">sum()</span></code></a>.</p>
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+  <section id="mlx-core-array-tolist">
+<h1>mlx.core.array.tolist<a class="headerlink" href="#mlx-core-array-tolist" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.tolist">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">tolist</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span></span><a class="headerlink" href="#mlx.core.array.tolist" title="Permalink to this definition"></a></dt>
+<dd><p>Convert the array to a Python <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">list</span></code></a>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p><p>The Python list.</p>
+<p>If the array is a scalar then a standard Python scalar is returned.</p>
+<p>If the array has more than one dimension then the result is a nested
+list of lists.</p>
+<p>The value type of the list correpsonding to the last dimension is either
+<code class="docutils literal notranslate"><span class="pre">bool</span></code>, <code class="docutils literal notranslate"><span class="pre">int</span></code> or <code class="docutils literal notranslate"><span class="pre">float</span></code> depending on the <code class="docutils literal notranslate"><span class="pre">dtype</span></code> of the array.</p>
+</p>
+</dd>
+<dt class="field-even">Return type<span class="colon">:</span></dt>
+<dd class="field-even"><p><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-array-transpose">
+<h1>mlx.core.array.transpose<a class="headerlink" href="#mlx-core-array-transpose" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.transpose">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">transpose</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.transpose" title="Permalink to this definition"></a></dt>
+<dd><p>Equivalent to <a class="reference internal" href="mlx.core.transpose.html#mlx.core.transpose" title="mlx.core.transpose"><code class="xref py py-func docutils literal notranslate"><span class="pre">transpose()</span></code></a> but the axes can be passed either as
+a tuple or as separate arguments.</p>
+<p>See <a class="reference internal" href="mlx.core.transpose.html#mlx.core.transpose" title="mlx.core.transpose"><code class="xref py py-func docutils literal notranslate"><span class="pre">transpose()</span></code></a> for full documentation.</p>
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+  <section id="mlx-core-array-var">
+<h1>mlx.core.array.var<a class="headerlink" href="#mlx-core-array-var" title="Permalink to this heading"></a></h1>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.core.array.var">
+<span class="sig-prename descclassname"><span class="pre">array.</span></span><span class="sig-name descname"><span class="pre">var</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">self</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ddof</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array.var" title="Permalink to this definition"></a></dt>
+<dd><p>See <a class="reference internal" href="mlx.core.var.html#mlx.core.var" title="mlx.core.var"><code class="xref py py-func docutils literal notranslate"><span class="pre">var()</span></code></a>.</p>
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+  <section id="mlx-core-array-equal">
+<h1>mlx.core.array_equal<a class="headerlink" href="#mlx-core-array-equal" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.array_equal">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">array_equal</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">equal_nan</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.array_equal" title="Permalink to this definition"></a></dt>
+<dd><p>Array equality check.</p>
+<p>Compare two arrays for equality. Returns <code class="docutils literal notranslate"><span class="pre">True</span></code> if and only if the arrays
+have the same shape and their values are equal. The arrays need not have
+the same type to be considered equal.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>equal_nan</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – If <code class="docutils literal notranslate"><span class="pre">True</span></code>, NaNs are treated as equal.
+Defaults to <code class="docutils literal notranslate"><span class="pre">False</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A scalar boolean array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-broadcast-to">
+<h1>mlx.core.broadcast_to<a class="headerlink" href="#mlx-core-broadcast-to" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.broadcast_to">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">broadcast_to</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.broadcast_to" title="Permalink to this definition"></a></dt>
+<dd><p>Broadcast an array to the given shape.</p>
+<p>The broadcasting semantics are the same as Numpy.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – The shape to broadcast to.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the new shape.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-concatenate">
+<h1>mlx.core.concatenate<a class="headerlink" href="#mlx-core-concatenate" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.concatenate">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">concatenate</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">arrays</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.concatenate" title="Permalink to this definition"></a></dt>
+<dd><p>Concatenate the arrays along the given axis.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>arrays</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>)</em>) – Input <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">list</span></code></a> or <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tuple</span></code></a> of arrays.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Optional axis to concatenate along. If
+unspecified defaults to <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The concatenated array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-conv1d">
+<h1>mlx.core.conv1d<a class="headerlink" href="#mlx-core-conv1d" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.conv1d">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">conv1d</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">input</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">weight</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stride</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">padding</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dilation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">groups</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.conv1d" title="Permalink to this definition"></a></dt>
+<dd><p>1D convolution over an input with several channels</p>
+<p>Note: Only the default <code class="docutils literal notranslate"><span class="pre">groups=1</span></code> is currently supported.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>input</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – input array of shape (<code class="docutils literal notranslate"><span class="pre">N</span></code>, <code class="docutils literal notranslate"><span class="pre">H</span></code>, <code class="docutils literal notranslate"><span class="pre">C_in</span></code>)</p></li>
+<li><p><strong>weight</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – weight array of shape (<code class="docutils literal notranslate"><span class="pre">C_out</span></code>, <code class="docutils literal notranslate"><span class="pre">H</span></code>, <code class="docutils literal notranslate"><span class="pre">C_in</span></code>)</p></li>
+<li><p><strong>stride</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – kernel stride. Default: <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+<li><p><strong>padding</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – input padding. Default: <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+<li><p><strong>dilation</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – kernel dilation. Default: <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+<li><p><strong>groups</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – input feature groups. Default: <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The convolved array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-conv2d">
+<h1>mlx.core.conv2d<a class="headerlink" href="#mlx-core-conv2d" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.conv2d">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">conv2d</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">input</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">weight</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stride</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">padding</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dilation</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">groups</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.conv2d" title="Permalink to this definition"></a></dt>
+<dd><p>2D convolution over an input with several channels</p>
+<p>Note: Only the default <code class="docutils literal notranslate"><span class="pre">groups=1</span></code> is currently supported.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>input</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – input array of shape <code class="docutils literal notranslate"><span class="pre">(N,</span> <span class="pre">H,</span> <span class="pre">W,</span> <span class="pre">C_in)</span></code></p></li>
+<li><p><strong>weight</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – weight array of shape <code class="docutils literal notranslate"><span class="pre">(C_out,</span> <span class="pre">H,</span> <span class="pre">W,</span> <span class="pre">C_in)</span></code></p></li>
+<li><p><strong>stride</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tuple</span></code></a> of size 2 with
+kernel strides. All spatial dimensions get the same stride if
+only one number is specified. Default: <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+<li><p><strong>padding</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tuple</span></code></a> of size 2 with
+symmetric input padding. All spatial dimensions get the same
+padding if only one number is specified. Default: <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+<li><p><strong>dilation</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tuple</span></code></a> of size 2 with
+kernel dilation. All spatial dimensions get the same dilation
+if only one number is specified. Default: <code class="docutils literal notranslate"><span class="pre">1</span></code></p></li>
+<li><p><strong>groups</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – input feature groups. Default: <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The convolved array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-convolve">
+<h1>mlx.core.convolve<a class="headerlink" href="#mlx-core-convolve" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.convolve">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">convolve</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">v</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">mode</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">'full'</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.convolve" title="Permalink to this definition"></a></dt>
+<dd><p>The discrete convolution of 1D arrays.</p>
+<p>If <code class="docutils literal notranslate"><span class="pre">v</span></code> is longer than <code class="docutils literal notranslate"><span class="pre">a</span></code>, then they are swapped.
+The conv filter is flipped following signal processing convention.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – 1D Input array.</p></li>
+<li><p><strong>v</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – 1D Input array.</p></li>
+<li><p><strong>mode</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a><em>, </em><em>optional</em>) – {‘full’, ‘valid’, ‘same’}</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The convolved array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-cos">
+<h1>mlx.core.cos<a class="headerlink" href="#mlx-core-cos" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.cos">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">cos</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.cos" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise cosine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The cosine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-cosh">
+<h1>mlx.core.cosh<a class="headerlink" href="#mlx-core-cosh" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.cosh">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">cosh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.cosh" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise hyperbolic cosine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The hyperbolic cosine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.default_stream">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">default_stream</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">device</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a></span></span><a class="headerlink" href="#mlx.core.default_stream" title="Permalink to this definition"></a></dt>
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+<h1>mlx.core.divide<a class="headerlink" href="#mlx-core-divide" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.divide">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">divide</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.divide" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise division.</p>
+<p>Divide two arrays with numpy-style broadcasting semantics. Either or both
+input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The quotient <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">/</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-equal">
+<h1>mlx.core.equal<a class="headerlink" href="#mlx-core-equal" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.equal">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">equal</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.equal" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise equality.</p>
+<p>Equality comparison on two arrays with numpy-style broadcasting semantics.
+Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The element-wise comparison <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">==</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-erf">
+<h1>mlx.core.erf<a class="headerlink" href="#mlx-core-erf" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.erf">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">erf</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.erf" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise error function.</p>
+<div class="math notranslate nohighlight">
+\[\mathrm{erf}(x) = \frac{2}{\sqrt{\pi}} \int_0^t e^{-t^2} \, dx\]</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The error function of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+             
+  <section id="mlx-core-erfinv">
+<h1>mlx.core.erfinv<a class="headerlink" href="#mlx-core-erfinv" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.erfinv">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">erfinv</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.erfinv" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise inverse of <a class="reference internal" href="mlx.core.erf.html#mlx.core.erf" title="mlx.core.erf"><code class="xref py py-func docutils literal notranslate"><span class="pre">erf()</span></code></a>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse error function of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+
+</section>
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+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
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+  <section id="mlx-core-eval">
+<h1>mlx.core.eval<a class="headerlink" href="#mlx-core-eval" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.eval">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">eval</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">retain_graph</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.eval" title="Permalink to this definition"></a></dt>
+<dd><p>Evaluate an <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or tree of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>*args</strong> (<em>arrays</em><em> or </em><em>trees of arrays</em>) – Each argument can be a single array
+or a tree of arrays. If a tree is given the nodes can be a Python
+<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">list</span></code></a>, <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">tuple</span></code></a> or <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#dict" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">dict</span></code></a> but the leafs must all be
+an <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></li>
+<li><p><strong>retain_graph</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – Indicate that the graph structure should be
+preserved. This option is intended to enable function transforms
+which contain control flow based on the value of an array.</p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
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+  <section id="mlx-core-exp">
+<h1>mlx.core.exp<a class="headerlink" href="#mlx-core-exp" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.exp">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">exp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.exp" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise exponential.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The exponential of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-expand-dims">
+<h1>mlx.core.expand_dims<a class="headerlink" href="#mlx-core-expand-dims" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.expand_dims">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">expand_dims</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.expand_dims" title="Permalink to this definition"></a></dt>
+<dd><p>Add a size one dimension at the given axis.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – The index of the inserted dimensions.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array with inserted dimensions.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-fft-fft">
+<h1>mlx.core.fft.fft<a class="headerlink" href="#mlx-core-fft-fft" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.fft">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">fft</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.fft" title="Permalink to this definition"></a></dt>
+<dd><p>One dimensional discrete Fourier Transform.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>n</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Size of the transformed axis. The
+corresponding axis in the input is truncated or padded with
+zeros to match <code class="docutils literal notranslate"><span class="pre">n</span></code>. The default value is <code class="docutils literal notranslate"><span class="pre">a.shape[axis]</span></code>.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Axis along which to perform the FFT. The
+default is <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The DFT of the input along the given axis.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-fft-fft2">
+<h1>mlx.core.fft.fft2<a class="headerlink" href="#mlx-core-fft-fft2" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.fft2">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">fft2</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[-</span> <span class="pre">2,</span> <span class="pre">-</span> <span class="pre">1]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.fft2" title="Permalink to this definition"></a></dt>
+<dd><p>Two dimensional discrete Fourier Transform.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">[-2,</span> <span class="pre">-1]</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The DFT of the input along the given axes.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-core-fft-fftn">
+<h1>mlx.core.fft.fftn<a class="headerlink" href="#mlx-core-fft-fftn" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.fftn">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">fftn</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.fftn" title="Permalink to this definition"></a></dt>
+<dd><p>n-dimensional discrete Fourier Transform.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">None</span></code> in which case the FFT is over the last
+<code class="docutils literal notranslate"><span class="pre">len(s)</span></code> axes are or all axes if <code class="docutils literal notranslate"><span class="pre">s</span></code> is also <code class="docutils literal notranslate"><span class="pre">None</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The DFT of the input along the given axes.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-fft-ifft">
+<h1>mlx.core.fft.ifft<a class="headerlink" href="#mlx-core-fft-ifft" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.ifft">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">ifft</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.ifft" title="Permalink to this definition"></a></dt>
+<dd><p>One dimensional inverse discrete Fourier Transform.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>n</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Size of the transformed axis. The
+corresponding axis in the input is truncated or padded with
+zeros to match <code class="docutils literal notranslate"><span class="pre">n</span></code>. The default value is <code class="docutils literal notranslate"><span class="pre">a.shape[axis]</span></code>.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Axis along which to perform the FFT. The
+default is <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse DFT of the input along the given axis.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-fft-ifft2">
+<h1>mlx.core.fft.ifft2<a class="headerlink" href="#mlx-core-fft-ifft2" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.ifft2">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">ifft2</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[-</span> <span class="pre">2,</span> <span class="pre">-</span> <span class="pre">1]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.ifft2" title="Permalink to this definition"></a></dt>
+<dd><p>Two dimensional inverse discrete Fourier Transform.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">[-2,</span> <span class="pre">-1]</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse DFT of the input along the given axes.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+
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+  <section id="mlx-core-fft-ifftn">
+<h1>mlx.core.fft.ifftn<a class="headerlink" href="#mlx-core-fft-ifftn" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.ifftn">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">ifftn</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.ifftn" title="Permalink to this definition"></a></dt>
+<dd><p>n-dimensional inverse discrete Fourier Transform.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">None</span></code> in which case the FFT is over the last
+<code class="docutils literal notranslate"><span class="pre">len(s)</span></code> axes or all axes if <code class="docutils literal notranslate"><span class="pre">s</span></code> is also <code class="docutils literal notranslate"><span class="pre">None</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The inverse DFT of the input along the given axes.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<h1>mlx.core.fft.irfft<a class="headerlink" href="#mlx-core-fft-irfft" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.irfft">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">irfft</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.irfft" title="Permalink to this definition"></a></dt>
+<dd><p>The inverse of <a class="reference internal" href="mlx.core.fft.rfft.html#mlx.core.fft.rfft" title="mlx.core.fft.rfft"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft()</span></code></a>.</p>
+<p>The output has the same shape as the input except along <code class="docutils literal notranslate"><span class="pre">axis</span></code> in
+which case it has size <code class="docutils literal notranslate"><span class="pre">n</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>n</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Size of the transformed axis. The
+corresponding axis in the input is truncated or padded with
+zeros to match <code class="docutils literal notranslate"><span class="pre">n</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>. The default value is
+<code class="docutils literal notranslate"><span class="pre">a.shape[axis]</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Axis along which to perform the FFT. The
+default is <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The real array containing the inverse of <a class="reference internal" href="mlx.core.fft.rfft.html#mlx.core.fft.rfft" title="mlx.core.fft.rfft"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft()</span></code></a>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-fft-irfft2">
+<h1>mlx.core.fft.irfft2<a class="headerlink" href="#mlx-core-fft-irfft2" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.irfft2">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">irfft2</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[-</span> <span class="pre">2,</span> <span class="pre">-</span> <span class="pre">1]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.irfft2" title="Permalink to this definition"></a></dt>
+<dd><p>The inverse of <a class="reference internal" href="mlx.core.fft.rfft2.html#mlx.core.fft.rfft2" title="mlx.core.fft.rfft2"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft2()</span></code></a>.</p>
+<p>Note the input is generally complex. The dimensions of the input
+specified in <code class="docutils literal notranslate"><span class="pre">axes</span></code> are padded or truncated to match the sizes
+from <code class="docutils literal notranslate"><span class="pre">s</span></code>. The last axis in <code class="docutils literal notranslate"><span class="pre">axes</span></code> is treated as the real axis
+and will have size <code class="docutils literal notranslate"><span class="pre">s[-1]</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code> except for the last axis
+which has size <code class="docutils literal notranslate"><span class="pre">s[-1]</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">[-2,</span> <span class="pre">-1]</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The real array containing the inverse of <a class="reference internal" href="mlx.core.fft.rfft2.html#mlx.core.fft.rfft2" title="mlx.core.fft.rfft2"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft2()</span></code></a>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
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+  <section id="mlx-core-fft-irfftn">
+<h1>mlx.core.fft.irfftn<a class="headerlink" href="#mlx-core-fft-irfftn" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.irfftn">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">irfftn</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.irfftn" title="Permalink to this definition"></a></dt>
+<dd><p>The inverse of <a class="reference internal" href="mlx.core.fft.rfftn.html#mlx.core.fft.rfftn" title="mlx.core.fft.rfftn"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfftn()</span></code></a>.</p>
+<p>Note the input is generally complex. The dimensions of the input
+specified in <code class="docutils literal notranslate"><span class="pre">axes</span></code> are padded or truncated to match the sizes
+from <code class="docutils literal notranslate"><span class="pre">s</span></code>. The last axis in <code class="docutils literal notranslate"><span class="pre">axes</span></code> is treated as the real axis
+and will have size <code class="docutils literal notranslate"><span class="pre">s[-1]</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">None</span></code> in which case the FFT is over the last
+<code class="docutils literal notranslate"><span class="pre">len(s)</span></code> axes or all axes if <code class="docutils literal notranslate"><span class="pre">s</span></code> is also <code class="docutils literal notranslate"><span class="pre">None</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The real array containing the inverse of <a class="reference internal" href="mlx.core.fft.rfftn.html#mlx.core.fft.rfftn" title="mlx.core.fft.rfftn"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfftn()</span></code></a>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-fft-rfft">
+<h1>mlx.core.fft.rfft<a class="headerlink" href="#mlx-core-fft-rfft" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.rfft">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">rfft</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.rfft" title="Permalink to this definition"></a></dt>
+<dd><p>One dimensional discrete Fourier Transform on a real input.</p>
+<p>The output has the same shape as the input except along <code class="docutils literal notranslate"><span class="pre">axis</span></code> in
+which case it has size <code class="docutils literal notranslate"><span class="pre">n</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array. If the array is complex it will be silently
+cast to a real type.</p></li>
+<li><p><strong>n</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Size of the transformed axis. The
+corresponding axis in the input is truncated or padded with
+zeros to match <code class="docutils literal notranslate"><span class="pre">n</span></code>. The default value is <code class="docutils literal notranslate"><span class="pre">a.shape[axis]</span></code>.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Axis along which to perform the FFT. The
+default is <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The DFT of the input along the given axis. The output
+data type will be complex.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-fft-rfft2">
+<h1>mlx.core.fft.rfft2<a class="headerlink" href="#mlx-core-fft-rfft2" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.rfft2">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">rfft2</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[-</span> <span class="pre">2,</span> <span class="pre">-</span> <span class="pre">1]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.rfft2" title="Permalink to this definition"></a></dt>
+<dd><p>Two dimensional real discrete Fourier Transform.</p>
+<p>The output has the same shape as the input except along the dimensions in
+<code class="docutils literal notranslate"><span class="pre">axes</span></code> in which case it has sizes from <code class="docutils literal notranslate"><span class="pre">s</span></code>. The last axis in <code class="docutils literal notranslate"><span class="pre">axes</span></code> is
+treated as the real axis and will have size <code class="docutils literal notranslate"><span class="pre">s[-1]</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array. If the array is complex it will be silently
+cast to a real type.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">[-2,</span> <span class="pre">-1]</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The real DFT of the input along the given axes. The output
+data type will be complex.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
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+  <section id="mlx-core-fft-rfftn">
+<h1>mlx.core.fft.rfftn<a class="headerlink" href="#mlx-core-fft-rfftn" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.fft.rfftn">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.fft.</span></span><span class="sig-name descname"><span class="pre">rfftn</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">s</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.fft.rfftn" title="Permalink to this definition"></a></dt>
+<dd><p>n-dimensional real discrete Fourier Transform.</p>
+<p>The output has the same shape as the input except along the dimensions in
+<code class="docutils literal notranslate"><span class="pre">axes</span></code> in which case it has sizes from <code class="docutils literal notranslate"><span class="pre">s</span></code>. The last axis in <code class="docutils literal notranslate"><span class="pre">axes</span></code> is
+treated as the real axis and will have size <code class="docutils literal notranslate"><span class="pre">s[-1]</span> <span class="pre">//</span> <span class="pre">2</span> <span class="pre">+</span> <span class="pre">1</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input array. If the array is complex it will be silently
+cast to a real type.</p></li>
+<li><p><strong>s</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Sizes of the transformed axes. The
+corresponding axes in the input are truncated or padded with
+zeros to match the sizes in <code class="docutils literal notranslate"><span class="pre">s</span></code>. The default value is the
+sizes of <code class="docutils literal notranslate"><span class="pre">a</span></code> along <code class="docutils literal notranslate"><span class="pre">axes</span></code>.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes along which to perform the FFT.
+The default is <code class="docutils literal notranslate"><span class="pre">None</span></code> in which case the FFT is over the last
+<code class="docutils literal notranslate"><span class="pre">len(s)</span></code> axes or all axes if <code class="docutils literal notranslate"><span class="pre">s</span></code> is also <code class="docutils literal notranslate"><span class="pre">None</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The real DFT of the input along the given axes. The output</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-full">
+<h1>mlx.core.full<a class="headerlink" href="#mlx-core-full" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.full">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">full</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">vals</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.full" title="Permalink to this definition"></a></dt>
+<dd><p>Construct an array with the given value.</p>
+<p>Constructs an array of size <code class="docutils literal notranslate"><span class="pre">shape</span></code> filled with <code class="docutils literal notranslate"><span class="pre">vals</span></code>. If <code class="docutils literal notranslate"><span class="pre">vals</span></code>
+is an <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array</span></code></a> it must be broadcastable to the given <code class="docutils literal notranslate"><span class="pre">shape</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – The shape of the output array.</p></li>
+<li><p><strong>vals</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Values to fill the array with.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Data type of the output array. If
+unspecified the output type is inferred from <code class="docutils literal notranslate"><span class="pre">vals</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the specified shape and values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-grad">
+<h1>mlx.core.grad<a class="headerlink" href="#mlx-core-grad" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.grad">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">grad</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">fun</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">function</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">argnums</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">cpp_function</span></span></span><a class="headerlink" href="#mlx.core.grad" title="Permalink to this definition"></a></dt>
+<dd><p>Returns a function which computes the gradient of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>fun</strong> (<em>function</em>) – A function which takes a variable number of
+<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or trees of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> and returns
+a scalar output <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></li>
+<li><p><strong>argnums</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Specify the index (or indices)
+of the arguments of <code class="docutils literal notranslate"><span class="pre">fun</span></code> to compute the gradient with respect to. If
+unspecified this defaults to <code class="docutils literal notranslate"><span class="pre">0</span></code> indicating <code class="docutils literal notranslate"><span class="pre">fun</span></code>’s first argument.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A function which has the same input arguments as <code class="docutils literal notranslate"><span class="pre">fun</span></code> and
+returns the gradient(s).</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>function</p>
+</dd>
+</dl>
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+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.greater">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">greater</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.greater" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise greater than.</p>
+<p>Strict greater than on two arrays with numpy-style broadcasting semantics.
+Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The element-wise comparison <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">&gt;</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="mlx-core-greater-equal">
+<h1>mlx.core.greater_equal<a class="headerlink" href="#mlx-core-greater-equal" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.greater_equal">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">greater_equal</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.greater_equal" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise greater or equal.</p>
+<p>Greater than or equal on two arrays with numpy-style broadcasting semantics.
+Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The element-wise comparison <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">&gt;=</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
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+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
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+             
+  <section id="mlx-core-jvp">
+<h1>mlx.core.jvp<a class="headerlink" href="#mlx-core-jvp" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.jvp">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">jvp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">fun</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">function</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">primals</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">tangents</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#mlx.core.jvp" title="Permalink to this definition"></a></dt>
+<dd><p>Compute the Jacobian-vector product.</p>
+<p>This computes the product of the Jacobian of a function <code class="docutils literal notranslate"><span class="pre">fun</span></code> evaluated
+at <code class="docutils literal notranslate"><span class="pre">primals</span></code> with the <code class="docutils literal notranslate"><span class="pre">tangents</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>fun</strong> (<em>function</em>) – A function which takes a variable number of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>
+and returns a single <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or list of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></li>
+<li><p><strong>primals</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>)</em>) – A list of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> at which to
+evaluate the Jacobian.</p></li>
+<li><p><strong>tangents</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>)</em>) – A list of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> which are the
+“vector” in the Jacobian-vector product. The <code class="docutils literal notranslate"><span class="pre">tangents</span></code> should be the
+same in number, shape, and type as the inputs of <code class="docutils literal notranslate"><span class="pre">fun</span></code> (i.e. the <code class="docutils literal notranslate"><span class="pre">primals</span></code>).</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A list of the Jacobian-vector products which
+is the same in number, shape, and type of the inputs to <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a>(<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>)</p>
+</dd>
+</dl>
+</dd></dl>
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+  <section id="mlx-core-less">
+<h1>mlx.core.less<a class="headerlink" href="#mlx-core-less" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.less">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">less</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.less" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise less than.</p>
+<p>Strict less than on two arrays with numpy-style broadcasting semantics.
+Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The element-wise comparison <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">&lt;</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+
+</section>
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+  <section id="mlx-core-less-equal">
+<h1>mlx.core.less_equal<a class="headerlink" href="#mlx-core-less-equal" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.less_equal">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">less_equal</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.less_equal" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise less than or equal.</p>
+<p>Less than or equal on two arrays with numpy-style broadcasting semantics.
+Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The element-wise comparison <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">&lt;=</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+
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+  <section id="mlx-core-load">
+<h1>mlx.core.load<a class="headerlink" href="#mlx-core-load" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.load">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">load</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Dict</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#mlx.core.load" title="Permalink to this definition"></a></dt>
+<dd><p>Load array(s) from a binary file in <code class="docutils literal notranslate"><span class="pre">.npy</span></code> or <code class="docutils literal notranslate"><span class="pre">.npz</span></code> format.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>file</strong> (<em>file</em><em>, </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a>) – File in which the array is saved</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The loaded array if <code class="docutils literal notranslate"><span class="pre">.npy</span></code> file or a dict mapping name to array if <code class="docutils literal notranslate"><span class="pre">.npz</span></code> file</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>result (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>, <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#dict" title="(in Python v3.12)"><em>dict</em></a>)</p>
+</dd>
+</dl>
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+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">log</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.log" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise natural logarithm.</p>
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+</dd>
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+<dd class="field-even"><p>The natural logarithm of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
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+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-log10">
+<h1>mlx.core.log10<a class="headerlink" href="#mlx-core-log10" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.log10">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">log10</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.log10" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise base-10 logarithm.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The base-10 logarithm of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-log1p">
+<h1>mlx.core.log1p<a class="headerlink" href="#mlx-core-log1p" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.log1p">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">log1p</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.log1p" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise natural log of one plus the array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The natural logarithm of one plus <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<dl class="py function">
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+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">log2</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.log2" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise base-2 logarithm.</p>
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+<dd class="field-even"><p>The base-2 logarithm of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-logaddexp">
+<h1>mlx.core.logaddexp<a class="headerlink" href="#mlx-core-logaddexp" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.logaddexp">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">logaddexp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.logaddexp" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise log-add-exp.</p>
+<p>This is a numerically stable log-add-exp of two arrays with numpy-style
+broadcasting semantics. Either or both input arrays can also be scalars.</p>
+<p>The computation is is a numerically stable version of <code class="docutils literal notranslate"><span class="pre">log(exp(a)</span> <span class="pre">+</span> <span class="pre">exp(b))</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The log-add-exp of <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-logical-not">
+<h1>mlx.core.logical_not<a class="headerlink" href="#mlx-core-logical-not" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.logical_not">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">logical_not</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.logical_not" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise logical not.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The boolean array containing the logical not of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-logsumexp">
+<h1>mlx.core.logsumexp<a class="headerlink" href="#mlx-core-logsumexp" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.logsumexp">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">logsumexp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.logsumexp" title="Permalink to this definition"></a></dt>
+<dd><p>A <cite>log-sum-exp</cite> reduction over the given axes.</p>
+<p>The log-sum-exp reduction is a numerically stable version of:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">log</span><span class="p">(</span><span class="nb">sum</span><span class="p">(</span><span class="n">exp</span><span class="p">(</span><span class="n">a</span><span class="p">),</span> <span class="n">axis</span><span class="p">))</span>
+</pre></div>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-matmul">
+<h1>mlx.core.matmul<a class="headerlink" href="#mlx-core-matmul" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.matmul">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">matmul</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.matmul" title="Permalink to this definition"></a></dt>
+<dd><p>Matrix multiplication.</p>
+<p>Perform the (possibly batched) matrix multiplication of two arrays. This function supports
+broadcasting for arrays with more than two dimensions.</p>
+<ul class="simple">
+<li><p>If the first array is 1-D then a 1 is prepended to its shape to make it
+a matrix. Similarly if the second array is 1-D then a 1 is appended to its
+shape to make it a matrix. In either case the singleton dimension is removed
+from the result.</p></li>
+<li><p>A batched matrix multiplication is performed if the arrays have more than
+2 dimensions.  The matrix dimensions for the matrix product are the last
+two dimensions of each input.</p></li>
+<li><p>All but the last two dimensions of each input are broadcast with one another using
+standard numpy-style broadcasting semantics.</p></li>
+</ul>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The matrix product of <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-max">
+<h1>mlx.core.max<a class="headerlink" href="#mlx-core-max" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.max">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">max</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.max" title="Permalink to this definition"></a></dt>
+<dd><p>An <cite>max</cite> reduction over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-maximum">
+<h1>mlx.core.maximum<a class="headerlink" href="#mlx-core-maximum" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.maximum">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">maximum</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.maximum" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise maximum.</p>
+<p>Take the element-wise max of two arrays with numpy-style broadcasting
+semantics. Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The max of <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-mean">
+<h1>mlx.core.mean<a class="headerlink" href="#mlx-core-mean" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.mean">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">mean</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.mean" title="Permalink to this definition"></a></dt>
+<dd><p>Compute the mean(s) over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array of means.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-min">
+<h1>mlx.core.min<a class="headerlink" href="#mlx-core-min" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.min">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">min</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.min" title="Permalink to this definition"></a></dt>
+<dd><p>An <cite>min</cite> reduction over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-minimum">
+<h1>mlx.core.minimum<a class="headerlink" href="#mlx-core-minimum" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.minimum">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">minimum</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.minimum" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise minimum.</p>
+<p>Take the element-wise min of two arrays with numpy-style broadcasting
+semantics. Either or both input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The min of <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-multiply">
+<h1>mlx.core.multiply<a class="headerlink" href="#mlx-core-multiply" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.multiply">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">multiply</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.multiply" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise multiplication.</p>
+<p>Multiply two arrays with numpy-style broadcasting semantics. Either or both
+input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The multiplication <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">*</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+             
+  <section id="mlx-core-negative">
+<h1>mlx.core.negative<a class="headerlink" href="#mlx-core-negative" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.negative">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">negative</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.negative" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise negation.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The negative of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<h1>mlx.core.new_stream<a class="headerlink" href="#mlx-core-new-stream" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.new_stream">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">new_stream</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">device</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a></span></span><a class="headerlink" href="#mlx.core.new_stream" title="Permalink to this definition"></a></dt>
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+  <section id="mlx-core-ones">
+<h1>mlx.core.ones<a class="headerlink" href="#mlx-core-ones" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.ones">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">ones</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.ones" title="Permalink to this definition"></a></dt>
+<dd><p>Construct an array of ones.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – The shape of the output array.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Data type of the output array. If
+unspecified the output type defaults to <code class="docutils literal notranslate"><span class="pre">float32</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array of ones with the specified shape.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-ones-like">
+<h1>mlx.core.ones_like<a class="headerlink" href="#mlx-core-ones-like" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.ones_like">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">ones_like</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.ones_like" title="Permalink to this definition"></a></dt>
+<dd><p>An array of ones like the input.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input to take the shape and type from.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array filled with ones.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+             
+  <section id="mlx-core-pad">
+<h1>mlx.core.pad<a class="headerlink" href="#mlx-core-pad" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.pad">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">pad</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">pad_width</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">constant_values</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.pad" title="Permalink to this definition"></a></dt>
+<dd><p>Pad an array with a constant value</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>pad_width</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>) or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>)</em>) – Number of padded
+values to add to the edges of each axis:<code class="docutils literal notranslate"><span class="pre">((before_1,</span> <span class="pre">after_1),</span>
+<span class="pre">(before_2,</span> <span class="pre">after_2),</span> <span class="pre">...,</span> <span class="pre">(before_N,</span> <span class="pre">after_N))</span></code>. If a single pair
+of integers is passed then <code class="docutils literal notranslate"><span class="pre">(before_i,</span> <span class="pre">after_i)</span></code> are all the same.
+If a single integer or tuple with a single integer is passed then
+all axes are extended by the same number on each side.</p></li>
+<li><p><strong>constant_value</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em> or </em><em>scalar</em><em>, </em><em>optional</em>) – Optional constant value
+to pad the edges of the array with.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The padded array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-core-partition">
+<h1>mlx.core.partition<a class="headerlink" href="#mlx-core-partition" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.partition">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">partition</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">kth</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.partition" title="Permalink to this definition"></a></dt>
+<dd><p>Returns a partitioned copy of the array such that the smaller <code class="docutils literal notranslate"><span class="pre">kth</span></code>
+elements are first.</p>
+<p>The ordering of the elements in partitions is undefined.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>kth</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – Element at the <code class="docutils literal notranslate"><span class="pre">kth</span></code> index will be in its sorted
+position in the output. All elements before the kth index will
+be less or equal to the <code class="docutils literal notranslate"><span class="pre">kth</span></code> element and all elements after
+will be greater or equal to the <code class="docutils literal notranslate"><span class="pre">kth</span></code> element in the output.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><em>None</em><em>, </em><em>optional</em>) – Optional axis to partition over.
+If <code class="docutils literal notranslate"><span class="pre">None</span></code>, this partitions over the flattened array.
+If unspecified, it defaults to <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The partitioned array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-prod">
+<h1>mlx.core.prod<a class="headerlink" href="#mlx-core-prod" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.prod">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">prod</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.prod" title="Permalink to this definition"></a></dt>
+<dd><p>An product reduction over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-random-bernoulli">
+<h1>mlx.core.random.bernoulli<a class="headerlink" href="#mlx-core-random-bernoulli" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.bernoulli">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">bernoulli</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">p</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0.5</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.bernoulli" title="Permalink to this definition"></a></dt>
+<dd><p>Generate Bernoulli random values.</p>
+<p>The values are sampled from the bernoulli distribution with parameter
+<code class="docutils literal notranslate"><span class="pre">p</span></code>. The parameter <code class="docutils literal notranslate"><span class="pre">p</span></code> can be a <a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">float</span></code></a> or <a class="reference external" href="https://docs.python.org/3/library/array.html#module-array" title="(in Python v3.12)"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array</span></code></a> and
+must be broadcastable to <code class="docutils literal notranslate"><span class="pre">shape</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>p</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – Parameter of the Bernoulli
+distribution. Default is 0.5.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Shape of the output. The default
+shape is <code class="docutils literal notranslate"><span class="pre">p.shape</span></code>.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array of random integers.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-random-categorical">
+<h1>mlx.core.random.categorical<a class="headerlink" href="#mlx-core-random-categorical" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.categorical">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">categorical</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">logits</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">num_samples</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.categorical" title="Permalink to this definition"></a></dt>
+<dd><p>Sample from a categorical distribution.</p>
+<p>The values are sampled from the categorical distribution specified by
+the unnormalized values in <code class="docutils literal notranslate"><span class="pre">logits</span></code>. Note, at most one of <code class="docutils literal notranslate"><span class="pre">shape</span></code>
+or <code class="docutils literal notranslate"><span class="pre">num_samples</span></code> can be specified. If both are <code class="docutils literal notranslate"><span class="pre">None</span></code>, the output
+has the same shape as <code class="docutils literal notranslate"><span class="pre">logits</span></code> with the <code class="docutils literal notranslate"><span class="pre">axis</span></code> dimension removed.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>logits</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The <em>unnormalized</em> categorical distribution(s).</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The axis which specifies the distribution.
+Default is <code class="docutils literal notranslate"><span class="pre">-1</span></code>.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – The shape of the output. This must
+be broadcast compatable with <code class="docutils literal notranslate"><span class="pre">logits.shape</span></code> with the <code class="docutils literal notranslate"><span class="pre">axis</span></code>
+dimension removed. Default: <code class="docutils literal notranslate"><span class="pre">None</span></code></p></li>
+<li><p><strong>num_samples</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The number of samples to draw from each
+of the categorical distributions in <code class="docutils literal notranslate"><span class="pre">logits</span></code>. The output will have
+<code class="docutils literal notranslate"><span class="pre">num_samples</span></code> in the last dimension. Default: <code class="docutils literal notranslate"><span class="pre">None</span></code>.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The <code class="docutils literal notranslate"><span class="pre">shape</span></code>-sized output array with type <code class="docutils literal notranslate"><span class="pre">uint32</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-core-random-gumbel">
+<h1>mlx.core.random.gumbel<a class="headerlink" href="#mlx-core-random-gumbel" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.gumbel">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">gumbel</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">float32</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.gumbel" title="Permalink to this definition"></a></dt>
+<dd><p>Sample from the standard Gumbel distribution.</p>
+<p>The values are sampled from a standard Gumbel distribution
+which CDF <code class="docutils literal notranslate"><span class="pre">exp(-exp(-x))</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – The shape of the output.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p><dl class="simple">
+<dt>The <code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code> with shape <code class="docutils literal notranslate"><span class="pre">shape</span></code> and</dt><dd><p>distributed according to the Gumbel distribution</p>
+</dd>
+</dl>
+</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
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+  <section id="mlx-core-random-key">
+<h1>mlx.core.random.key<a class="headerlink" href="#mlx-core-random-key" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.key">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">key</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.key" title="Permalink to this definition"></a></dt>
+<dd><p>Get a PRNG key from a seed.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>seed</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – Seed for the PRNG.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The PRNG key array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-random-normal">
+<h1>mlx.core.random.normal<a class="headerlink" href="#mlx-core-random-normal" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.normal">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">normal</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">float32</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.normal" title="Permalink to this definition"></a></dt>
+<dd><p>Generate normally distributed random numbers.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Shape of the output. Default is <code class="docutils literal notranslate"><span class="pre">()</span></code>.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Type of the output. Default is <code class="docutils literal notranslate"><span class="pre">float32</span></code>.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array of random values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-random-randint">
+<h1>mlx.core.random.randint<a class="headerlink" href="#mlx-core-random-randint" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.randint">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">randint</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">low</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">high</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">int32</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.randint" title="Permalink to this definition"></a></dt>
+<dd><p>Generate random integers from the given interval.</p>
+<p>The values are sampled with equal probability from the integers in
+half-open interval <code class="docutils literal notranslate"><span class="pre">[low,</span> <span class="pre">high)</span></code>. The lower and upper bound can be
+scalars or arrays and must be roadcastable to <code class="docutils literal notranslate"><span class="pre">shape</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>low</strong> (<em>scalar</em><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Lower bound of the interval.</p></li>
+<li><p><strong>high</strong> (<em>scalar</em><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Upper bound of the interval.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Shape of the output. Defaults to <code class="docutils literal notranslate"><span class="pre">()</span></code>.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Type of the output. Defaults to <code class="docutils literal notranslate"><span class="pre">int32</span></code>.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array of random integers.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="mlx.core.random.normal.html" class="btn btn-neutral float-left" title="mlx.core.random.normal" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
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+  <section id="mlx-core-random-seed">
+<h1>mlx.core.random.seed<a class="headerlink" href="#mlx-core-random-seed" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.seed">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">seed</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">seed</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.random.seed" title="Permalink to this definition"></a></dt>
+<dd><p>Seed the global PRNG.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>seed</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – Seed for the global PRNG.</p>
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+  <section id="mlx-core-random-split">
+<h1>mlx.core.random.split<a class="headerlink" href="#mlx-core-random-split" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.split">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">split</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">num</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">2</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.split" title="Permalink to this definition"></a></dt>
+<dd><p>Split a PRNG key into sub keys.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input key to split.</p></li>
+<li><p><strong>num</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Number of sub keys. Default is 2.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array of sub keys with <code class="docutils literal notranslate"><span class="pre">num</span></code> as its first dimension.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-random-truncated-normal">
+<h1>mlx.core.random.truncated_normal<a class="headerlink" href="#mlx-core-random-truncated-normal" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.truncated_normal">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">truncated_normal</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">lower</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">upper</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">float32</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.truncated_normal" title="Permalink to this definition"></a></dt>
+<dd><p>Generate values from a truncated normal distribution.</p>
+<p>The values are sampled from the truncated normal distribution
+on the domain <code class="docutils literal notranslate"><span class="pre">(lower,</span> <span class="pre">upper)</span></code>. The bounds <code class="docutils literal notranslate"><span class="pre">lower</span></code> and <code class="docutils literal notranslate"><span class="pre">upper</span></code>
+can be scalars or arrays and must be broadcastable to <code class="docutils literal notranslate"><span class="pre">shape</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>lower</strong> (<em>scalar</em><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Lower bound of the domain.</p></li>
+<li><p><strong>upper</strong> (<em>scalar</em><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Upper bound of the domain.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – The shape of the output.
+Default is <code class="docutils literal notranslate"><span class="pre">()</span></code>.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optinoal</em>) – The data type of the output.
+Default is <code class="docutils literal notranslate"><span class="pre">float32</span></code>.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array of random values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-random-uniform">
+<h1>mlx.core.random.uniform<a class="headerlink" href="#mlx-core-random-uniform" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.random.uniform">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.random.</span></span><span class="sig-name descname"><span class="pre">uniform</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">low</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">high</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">float32</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.random.uniform" title="Permalink to this definition"></a></dt>
+<dd><p>Generate uniformly distributed random numbers.</p>
+<p>The values are sampled uniformly in the half-open interval <code class="docutils literal notranslate"><span class="pre">[low,</span> <span class="pre">high)</span></code>.
+The lower and upper bound can be scalars or arrays and must be
+broadcastable to <code class="docutils literal notranslate"><span class="pre">shape</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>low</strong> (<em>scalar</em><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – Lower bound of the distribution. Default is <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+<li><p><strong>high</strong> (<em>scalar</em><em> or </em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – Upper bound of the distribution. Default is <code class="docutils literal notranslate"><span class="pre">1</span></code>.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Shape of the output. Default is <code class="docutils literal notranslate"><span class="pre">()</span></code>.</p></li>
+<li><p><strong>key</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>, </em><em>optional</em>) – A PRNG key. Default: None.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Type of the output. Default is <code class="docutils literal notranslate"><span class="pre">float32</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array random values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
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+  <section id="mlx-core-reshape">
+<h1>mlx.core.reshape<a class="headerlink" href="#mlx-core-reshape" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.reshape">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">reshape</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.reshape" title="Permalink to this definition"></a></dt>
+<dd><p>Reshape an array while preserving the size.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – New shape.</p></li>
+<li><p><strong>stream</strong> (<a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><em>Stream</em></a><em>, </em><em>optional</em>) – Stream or device. Defaults to <code class="docutils literal notranslate"><span class="pre">`None`</span></code>
+in which case the default stream of the default device is used.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The reshaped array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-rsqrt">
+<h1>mlx.core.rsqrt<a class="headerlink" href="#mlx-core-rsqrt" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.rsqrt">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">rsqrt</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.rsqrt" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise reciprocal and square root.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>One over the square root of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-save">
+<h1>mlx.core.save<a class="headerlink" href="#mlx-core-save" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.save">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">save</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">arr</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">retain_graph</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.save" title="Permalink to this definition"></a></dt>
+<dd><p>Save the array to a binary file in <code class="docutils literal notranslate"><span class="pre">.npy</span></code> format.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>file</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a>) – File to which the array is saved</p></li>
+<li><p><strong>arr</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Array to be saved.</p></li>
+<li><p><strong>retain_graph</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – Optional argument to retain graph
+during array evaluation before saving. Default: True</p></li>
+</ul>
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+  <section id="mlx-core-savez">
+<h1>mlx.core.savez<a class="headerlink" href="#mlx-core-savez" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.savez">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">savez</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.savez" title="Permalink to this definition"></a></dt>
+<dd><p>Save several arrays to a binary file in uncompressed <code class="docutils literal notranslate"><span class="pre">.npz</span></code> format.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+
+<span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">ones</span><span class="p">((</span><span class="mi">10</span><span class="p">,</span> <span class="mi">10</span><span class="p">))</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">savez</span><span class="p">(</span><span class="s2">&quot;my_path.npz&quot;</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="n">x</span><span class="p">)</span>
+
+<span class="kn">import</span> <span class="nn">mlx.nn</span> <span class="k">as</span> <span class="nn">nn</span>
+<span class="kn">from</span> <span class="nn">mlx.utils</span> <span class="kn">import</span> <span class="n">tree_flatten</span>
+
+<span class="n">model</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">TransformerEncoder</span><span class="p">(</span><span class="mi">6</span><span class="p">,</span> <span class="mi">128</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span>
+<span class="n">flat_params</span> <span class="o">=</span> <span class="n">tree_flatten</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">savez</span><span class="p">(</span><span class="s2">&quot;model.npz&quot;</span><span class="p">,</span> <span class="o">**</span><span class="nb">dict</span><span class="p">(</span><span class="n">flat_params</span><span class="p">))</span>
+</pre></div>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>file</strong> (<em>file</em><em>, </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a>) – Path to file to which the arrays are saved.</p></li>
+<li><p><strong>args</strong> (<em>arrays</em>) – Arrays to be saved.</p></li>
+<li><p><strong>kwargs</strong> (<em>arrays</em>) – Arrays to be saved. Each array will be saved
+with the associated keyword as the output file name.</p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-core-savez-compressed">
+<h1>mlx.core.savez_compressed<a class="headerlink" href="#mlx-core-savez-compressed" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.savez_compressed">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">savez_compressed</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">kwargs</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.savez_compressed" title="Permalink to this definition"></a></dt>
+<dd><p>Save several arrays to a binary file in compressed <code class="docutils literal notranslate"><span class="pre">.npz</span></code> format.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>file</strong> (<em>file</em><em>, </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a>) – Path to file to which the arrays are saved.</p></li>
+<li><p><strong>args</strong> (<em>arrays</em>) – Arrays to be saved.</p></li>
+<li><p><strong>kwargs</strong> (<em>arrays</em>) – Arrays to be saved. Each array will be saved
+with the associated keyword as the output file name.</p></li>
+</ul>
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+<h1>mlx.core.set_default_device<a class="headerlink" href="#mlx-core-set-default-device" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.set_default_device">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">set_default_device</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">device</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.set_default_device" title="Permalink to this definition"></a></dt>
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+<h1>mlx.core.set_default_stream<a class="headerlink" href="#mlx-core-set-default-stream" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.set_default_stream">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">set_default_stream</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a></span></span><a class="headerlink" href="#mlx.core.set_default_stream" title="Permalink to this definition"></a></dt>
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+  <section id="mlx-core-sigmoid">
+<h1>mlx.core.sigmoid<a class="headerlink" href="#mlx-core-sigmoid" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.sigmoid">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sigmoid</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sigmoid" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise logistic sigmoid.</p>
+<p>The logistic sigmoid function is:</p>
+<div class="math notranslate nohighlight">
+\[\mathrm{sigmoid}(x) = \frac{1}{1 + e^{-x}}\]</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The logistic sigmoid of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sign</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sign" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise sign.</p>
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+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
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+<dd class="field-even"><p>The sign of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-sin">
+<h1>mlx.core.sin<a class="headerlink" href="#mlx-core-sin" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.sin">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sin</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sin" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise sine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The sine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-sinh">
+<h1>mlx.core.sinh<a class="headerlink" href="#mlx-core-sinh" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.sinh">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sinh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sinh" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise hyperbolic sine.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The hyperbolic sine of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-softmax">
+<h1>mlx.core.softmax<a class="headerlink" href="#mlx-core-softmax" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.softmax">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">softmax</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.softmax" title="Permalink to this definition"></a></dt>
+<dd><p>Perform the softmax along the given axis.</p>
+<p>This operation is a numerically stable version of:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">exp</span><span class="p">(</span><span class="n">a</span><span class="p">)</span> <span class="o">/</span> <span class="nb">sum</span><span class="p">(</span><span class="n">exp</span><span class="p">(</span><span class="n">a</span><span class="p">),</span> <span class="n">axis</span><span class="p">,</span> <span class="n">keepdims</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
+</pre></div>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or axes to compute
+the softmax over. If unspecified this performs the softmax over
+the full array.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output of the softmax.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-sort">
+<h1>mlx.core.sort<a class="headerlink" href="#mlx-core-sort" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.sort">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sort</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">-</span> <span class="pre">1</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sort" title="Permalink to this definition"></a></dt>
+<dd><p>Returns a sorted copy of the array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><em>None</em><em>, </em><em>optional</em>) – Optional axis to sort over.
+If <code class="docutils literal notranslate"><span class="pre">None</span></code>, this sorts over the flattened array.
+If unspecified, it defaults to -1 (sorting over the last axis).</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The sorted array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-split">
+<h1>mlx.core.split<a class="headerlink" href="#mlx-core-split" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.split">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">split</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">indices_or_sections</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#mlx.core.split" title="Permalink to this definition"></a></dt>
+<dd><p>Split an array along a given axis.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>indices_or_sections</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – If <code class="docutils literal notranslate"><span class="pre">indices_or_sections</span></code>
+is an integer the array is split into that many sections of equal
+size. An error is raised if this is not possible. If <code class="docutils literal notranslate"><span class="pre">indices_or_sections</span></code>
+is a list, the list contains the indices of the start of each subarray
+along the given axis.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Axis to split along, defaults to <cite>0</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A list of split arrays.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a>(<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>)</p>
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+  <section id="mlx-core-sqrt">
+<h1>mlx.core.sqrt<a class="headerlink" href="#mlx-core-sqrt" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.sqrt">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sqrt</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sqrt" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise square root.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The square root of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-square">
+<h1>mlx.core.square<a class="headerlink" href="#mlx-core-square" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.square">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">square</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.square" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise square.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The square of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.squeeze">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">squeeze</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.squeeze" title="Permalink to this definition"></a></dt>
+<dd><p>Remove length one axes from an array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Axes to remove. Defaults</p></li>
+<li><p><strong>removed.</strong> (<em>to `None` in which case all size one axes are</em>) – </p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with size one axes removed.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">stop_gradient</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.stop_gradient" title="Permalink to this definition"></a></dt>
+<dd><p>Stop gradients from being computed.</p>
+<p>The operation is the identity but it prevents gradients from flowing
+through the array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p><dl class="simple">
+<dt>The unchanged input <code class="docutils literal notranslate"><span class="pre">a</span></code> but without gradient flowing</dt><dd><p>through it.</p>
+</dd>
+</dl>
+</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.subtract">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">subtract</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.subtract" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise subtraction.</p>
+<p>Subtract one array from another with numpy-style broadcasting semantics. Either or both
+input arrays can also be scalars.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+<li><p><strong>b</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array or scalar.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The difference <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">-</span> <span class="pre">b</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
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+  <section id="mlx-core-sum">
+<h1>mlx.core.sum<a class="headerlink" href="#mlx-core-sum" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.sum">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">sum</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">array</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.sum" title="Permalink to this definition"></a></dt>
+<dd><p>Sum reduce the array over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the corresponding axes reduced.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-take">
+<h1>mlx.core.take<a class="headerlink" href="#mlx-core-take" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.take">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">take</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">indices</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.take" title="Permalink to this definition"></a></dt>
+<dd><p>Take elements along an axis.</p>
+<p>The elements are taken from <code class="docutils literal notranslate"><span class="pre">indices</span></code> along the specified axis.
+If the axis is not specified the array is treated as a flattened
+1-D array prior to performing the take.</p>
+<p>As an example, if the <code class="docutils literal notranslate"><span class="pre">axis=1</span></code> this is equialent to <code class="docutils literal notranslate"><span class="pre">a[:,</span> <span class="pre">indices,</span> <span class="pre">...]</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>indices</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array with integral type.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – Axis along which to perform the take. If unspecified
+the array is treated as a flattened 1-D vector.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The indexed values of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-take-along-axis">
+<h1>mlx.core.take_along_axis<a class="headerlink" href="#mlx-core-take-along-axis" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.take_along_axis">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">take_along_axis</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">indices</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.take_along_axis" title="Permalink to this definition"></a></dt>
+<dd><p>Take values along an axis at the specified indices.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>indices</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Indices array. These should be broadcastable with
+the input array excluding the <cite>axis</cite> dimension.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><em>None</em>) – Axis in the input to take the values from. If
+<code class="docutils literal notranslate"><span class="pre">axis</span> <span class="pre">==</span> <span class="pre">None</span></code> the array is flattened to 1D prior to the indexing
+operation.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array with the specified shape and values.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.tan">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">tan</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.tan" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise tangent.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The tangent of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-tanh">
+<h1>mlx.core.tanh<a class="headerlink" href="#mlx-core-tanh" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.tanh">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">tanh</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.tanh" title="Permalink to this definition"></a></dt>
+<dd><p>Element-wise hyperbolic tangent.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
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+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The hyperbolic tangent of <code class="docutils literal notranslate"><span class="pre">a</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
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+  <section id="mlx-core-transpose">
+<h1>mlx.core.transpose<a class="headerlink" href="#mlx-core-transpose" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.transpose">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">transpose</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.transpose" title="Permalink to this definition"></a></dt>
+<dd><p>Transpose the dimensions of the array.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Specifies the source axis for each axis
+in the new array. The default is to reverse the axes.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The transposed array.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
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+  <section id="mlx-core-value-and-grad">
+<h1>mlx.core.value_and_grad<a class="headerlink" href="#mlx-core-value-and-grad" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.value_and_grad">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">value_and_grad</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">fun</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">function</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">argnums</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">cpp_function</span></span></span><a class="headerlink" href="#mlx.core.value_and_grad" title="Permalink to this definition"></a></dt>
+<dd><p>Returns a function which computes the value and gradient of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p>
+<p>The function passed to <a class="reference internal" href="#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">value_and_grad()</span></code></a> should return either
+a scalar loss or a tuple in which the first element is a scalar
+loss and the remaining elements can be anything.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+
+<span class="k">def</span> <span class="nf">mse</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">inputs</span><span class="p">,</span> <span class="n">targets</span><span class="p">):</span>
+    <span class="n">outputs</span> <span class="o">=</span> <span class="n">forward</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">inputs</span><span class="p">)</span>
+    <span class="n">lvalue</span> <span class="o">=</span> <span class="p">(</span><span class="n">outputs</span> <span class="o">-</span> <span class="n">targets</span><span class="p">)</span><span class="o">.</span><span class="n">square</span><span class="p">()</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
+    <span class="k">return</span> <span class="n">lvalue</span>
+
+<span class="c1"># Returns lvalue, dlvalue/dparams</span>
+<span class="n">lvalue</span><span class="p">,</span> <span class="n">grads</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">mse</span><span class="p">)</span>
+
+<span class="k">def</span> <span class="nf">lasso</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">inputs</span><span class="p">,</span> <span class="n">targets</span><span class="p">,</span> <span class="n">a</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">b</span><span class="o">=</span><span class="mf">1.0</span><span class="p">):</span>
+    <span class="n">outputs</span> <span class="o">=</span> <span class="n">forward</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">inputs</span><span class="p">)</span>
+    <span class="n">mse</span> <span class="o">=</span> <span class="p">(</span><span class="n">outputs</span> <span class="o">-</span> <span class="n">targets</span><span class="p">)</span><span class="o">.</span><span class="n">square</span><span class="p">()</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
+    <span class="n">l1</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">outputs</span> <span class="o">-</span> <span class="n">targets</span><span class="p">)</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
+
+    <span class="n">loss</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><span class="n">mse</span> <span class="o">+</span> <span class="n">b</span><span class="o">*</span><span class="n">l1</span>
+
+    <span class="k">return</span> <span class="n">loss</span><span class="p">,</span> <span class="n">mse</span><span class="p">,</span> <span class="n">l1</span>
+
+<span class="p">(</span><span class="n">loss</span><span class="p">,</span> <span class="n">mse</span><span class="p">,</span> <span class="n">l1</span><span class="p">),</span> <span class="n">grads</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">lasso</span><span class="p">)</span>
+</pre></div>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>fun</strong> (<em>function</em>) – A function which takes a variable number of
+<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or trees of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> and returns
+a scalar output <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or a tuple the first element
+of which should be a scalar <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></li>
+<li><p><strong>argnums</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Specify the index (or indices)
+of the arguments of <code class="docutils literal notranslate"><span class="pre">fun</span></code> to compute the gradient with respect to. If
+unspecified this defaults to <code class="docutils literal notranslate"><span class="pre">0</span></code> indicating <code class="docutils literal notranslate"><span class="pre">fun</span></code>’s first argument.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A function which returns a tuple where the first element
+is the output of <cite>fun</cite> and the second element is the gradients w.r.t.
+the loss.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>function</p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
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+  <section id="mlx-core-var">
+<h1>mlx.core.var<a class="headerlink" href="#mlx-core-var" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.var">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">var</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">axis</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keepdims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">ddof</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.var" title="Permalink to this definition"></a></dt>
+<dd><p>Compute the variance(s) over the given axes.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – Input array.</p></li>
+<li><p><strong>axis</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em><em>, </em><em>optional</em>) – Optional axis or
+axes to reduce over. If unspecified this defaults
+to reducing over the entire array.</p></li>
+<li><p><strong>keepdims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – Keep reduced axes as
+singleton dimensions, defaults to <cite>False</cite>.</p></li>
+<li><p><strong>ddof</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The divisor to compute the variance
+is <code class="docutils literal notranslate"><span class="pre">N</span> <span class="pre">-</span> <span class="pre">ddof</span></code>, defaults to 0.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array of variances.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-vjp">
+<h1>mlx.core.vjp<a class="headerlink" href="#mlx-core-vjp" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.vjp">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">vjp</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">fun</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">function</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">primals</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">cotangents</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">Tuple</span><span class="p"><span class="pre">[</span></span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></span><a class="headerlink" href="#mlx.core.vjp" title="Permalink to this definition"></a></dt>
+<dd><p>Compute the vector-Jacobian product.</p>
+<p>Computes the product of the <code class="docutils literal notranslate"><span class="pre">cotangents</span></code> with the Jacobian of a
+function <code class="docutils literal notranslate"><span class="pre">fun</span></code> evaluated at <code class="docutils literal notranslate"><span class="pre">primals</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>fun</strong> (<em>function</em>) – A function which takes a variable number of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>
+and returns a single <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or list of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></li>
+<li><p><strong>primals</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>)</em>) – A list of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> at which to
+evaluate the Jacobian.</p></li>
+<li><p><strong>cotangents</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a><em>)</em>) – A list of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> which are the
+“vector” in the vector-Jacobian product. The <code class="docutils literal notranslate"><span class="pre">cotangents</span></code> should be the
+same in number, shape, and type as the outputs of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A list of the vector-Jacobian products which
+is the same in number, shape, and type of the outputs of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a>(<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>)</p>
+</dd>
+</dl>
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+  <section id="mlx-core-vmap">
+<h1>mlx.core.vmap<a class="headerlink" href="#mlx-core-vmap" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.vmap">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">vmap</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">fun</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">function</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">in_axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">out_axes</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#object" title="(in Python v3.12)"><span class="pre">object</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><span class="pre">cpp_function</span></span></span><a class="headerlink" href="#mlx.core.vmap" title="Permalink to this definition"></a></dt>
+<dd><p>Returns a vectorized version of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>fun</strong> (<em>function</em>) – A function which takes a variable number of
+<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or a tree of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> and returns
+a variable number of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or a tree of <a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></li>
+<li><p><strong>in_axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – An integer or a valid prefix tree of the
+inputs to <code class="docutils literal notranslate"><span class="pre">fun</span></code> where each node specifies the vmapped axis. If
+the value is <code class="docutils literal notranslate"><span class="pre">None</span></code> then the corresponding input(s) are not vmapped.
+Defaults to <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+<li><p><strong>out_axes</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – An integer or a valid prefix tree of the
+outputs of <code class="docutils literal notranslate"><span class="pre">fun</span></code> where each node specifies the vmapped axis. If
+the value is <code class="docutils literal notranslate"><span class="pre">None</span></code> then the corresponding outputs(s) are not vmapped.
+Defaults to <code class="docutils literal notranslate"><span class="pre">0</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The vectorized function.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>function</p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
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+             
+  <section id="mlx-core-where">
+<h1>mlx.core.where<a class="headerlink" href="#mlx-core-where" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.where">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">where</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">condition</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">x</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">y</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#complex" title="(in Python v3.12)"><span class="pre">complex</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.where" title="Permalink to this definition"></a></dt>
+<dd><p>Select from <code class="docutils literal notranslate"><span class="pre">x</span></code> or <code class="docutils literal notranslate"><span class="pre">y</span></code> according to <code class="docutils literal notranslate"><span class="pre">condition</span></code>.</p>
+<p>The condition and input arrays must be the same shape or broadcastable
+with each another.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>condition</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The condition array.</p></li>
+<li><p><strong>x</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input selected from where condition is <code class="docutils literal notranslate"><span class="pre">True</span></code>.</p></li>
+<li><p><strong>y</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input selected from where condition is <code class="docutils literal notranslate"><span class="pre">False</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output containing elements selected from <code class="docutils literal notranslate"><span class="pre">x</span></code> and <code class="docutils literal notranslate"><span class="pre">y</span></code>.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p>result (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>)</p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
+           </div>
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+  <section id="mlx-core-zeros">
+<h1>mlx.core.zeros<a class="headerlink" href="#mlx-core-zeros" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.zeros">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">zeros</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">shape</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><span class="pre">List</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">dtype</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Optional</span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><span class="pre">Dtype</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.zeros" title="Permalink to this definition"></a></dt>
+<dd><p>Construct an array of zeros.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>shape</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>(</em><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>)</em>) – The shape of the output array.</p></li>
+<li><p><strong>dtype</strong> (<a class="reference internal" href="mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><em>Dtype</em></a><em>, </em><em>optional</em>) – Data type of the output array. If
+unspecified the output type defaults to <code class="docutils literal notranslate"><span class="pre">float32</span></code>.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The array of zeros with the specified shape.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
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+  <section id="mlx-core-zeros-like">
+<h1>mlx.core.zeros_like<a class="headerlink" href="#mlx-core-zeros-like" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.core.zeros_like">
+<span class="sig-prename descclassname"><span class="pre">mlx.core.</span></span><span class="sig-name descname"><span class="pre">zeros_like</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></em>, <em class="sig-param"><span class="o"><span class="pre">/</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stream</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><span class="pre">Union</span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/constants.html#None" title="(in Python v3.12)"><span class="pre">None</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><span class="pre">Stream</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><span class="pre">Device</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span> <span class="sig-return"><span class="sig-return-icon">&#x2192;</span> <span class="sig-return-typehint"><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a></span></span><a class="headerlink" href="#mlx.core.zeros_like" title="Permalink to this definition"></a></dt>
+<dd><p>An array of zeros like the input.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>a</strong> (<a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a>) – The input to take the shape and type from.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The output array filled with zeros.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.core.array.html#mlx.core.array" title="mlx.core.array"><em>array</em></a></p>
+</dd>
+</dl>
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+  <section id="mlx-nn-conv1d">
+<h1>mlx.nn.Conv1d<a class="headerlink" href="#mlx-nn-conv1d" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.Conv1d">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">Conv1d</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">in_channels</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">out_channels</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">kernel_size</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">stride</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">padding</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">bias</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Conv1d" title="Permalink to this definition"></a></dt>
+<dd><p>Applies a 1-dimensional convolution over the multi-channel input sequence.</p>
+<dl class="simple">
+<dt>The channels are expected to be last i.e. the input shape should be <code class="docutils literal notranslate"><span class="pre">NLC</span></code> where:</dt><dd><ul class="simple">
+<li><p><code class="docutils literal notranslate"><span class="pre">N</span></code> is the batch dimension</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">L</span></code> is the sequence length</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">C</span></code> is the number of input channels</p></li>
+</ul>
+</dd>
+</dl>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>in_channels</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The number of input channels</p></li>
+<li><p><strong>out_channels</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The number of output channels</p></li>
+<li><p><strong>kernel_size</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The size of the convolution filters</p></li>
+<li><p><strong>stride</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The stride when applying the filter.
+Default: 1.</p></li>
+<li><p><strong>padding</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – How many positions to 0-pad the input with.
+Default: 0.</p></li>
+<li><p><strong>bias</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – If <code class="docutils literal notranslate"><span class="pre">True</span></code> add a learnable bias to the output.
+Default: <code class="docutils literal notranslate"><span class="pre">True</span></code></p></li>
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+<h1>mlx.nn.Conv2d<a class="headerlink" href="#mlx-nn-conv2d" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.Conv2d">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">Conv2d</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">in_channels</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">out_channels</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">kernel_size</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Union" title="(in Python v3.12)"><span class="pre">Union</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><span class="pre">tuple</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">stride</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Union" title="(in Python v3.12)"><span class="pre">Union</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><span class="pre">tuple</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">padding</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Union" title="(in Python v3.12)"><span class="pre">Union</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><span class="pre">tuple</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">bias</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Conv2d" title="Permalink to this definition"></a></dt>
+<dd><p>Applies a 2-dimensional convolution over the multi-channel input image.</p>
+<dl class="simple">
+<dt>The channels are expected to be last i.e. the input shape should be <code class="docutils literal notranslate"><span class="pre">NHWC</span></code> where:</dt><dd><ul class="simple">
+<li><p><code class="docutils literal notranslate"><span class="pre">N</span></code> is the batch dimension</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">H</span></code> is the input image height</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">W</span></code> is the input image width</p></li>
+<li><p><code class="docutils literal notranslate"><span class="pre">C</span></code> is the number of input channels</p></li>
+</ul>
+</dd>
+</dl>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>in_channels</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The number of input channels.</p></li>
+<li><p><strong>out_channels</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The number of output channels.</p></li>
+<li><p><strong>kernel_size</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a>) – The size of the convolution filters.</p></li>
+<li><p><strong>stride</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>, </em><em>optional</em>) – The size of the stride when
+applying the filter. Default: 0.</p></li>
+<li><p><strong>padding</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#tuple" title="(in Python v3.12)"><em>tuple</em></a><em>, </em><em>optional</em>) – How many positions to 0-pad
+the input with. Default: 0.</p></li>
+<li><p><strong>bias</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – If <code class="docutils literal notranslate"><span class="pre">True</span></code> add a learnable bias to the
+output. Default: <code class="docutils literal notranslate"><span class="pre">True</span></code></p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
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+  <section id="mlx-nn-embedding">
+<h1>mlx.nn.Embedding<a class="headerlink" href="#mlx-nn-embedding" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.Embedding">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">Embedding</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">num_embeddings</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Embedding" title="Permalink to this definition"></a></dt>
+<dd><p>Implements a simple lookup table that maps each input integer to a
+high-dimensional vector.</p>
+<p>Typically used to embed discrete tokens for processing by neural networks.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>num_embeddings</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – How many possible discrete tokens can we embed.
+Usually called the vocabulary size.</p></li>
+<li><p><strong>dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The dimensionality of the embeddings.</p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-nn-gelu">
+<h1>mlx.nn.GELU<a class="headerlink" href="#mlx-nn-gelu" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.GELU">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">GELU</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">approx</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">'none'</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.GELU" title="Permalink to this definition"></a></dt>
+<dd><p>Applies the Gaussian Error Linear Units.</p>
+<div class="math notranslate nohighlight">
+\[\textrm{GELU}(x) = x * \Phi(x)\]</div>
+<p>where <span class="math notranslate nohighlight">\(\Phi(x)\)</span> is the Gaussian CDF.</p>
+<p>However, if <code class="docutils literal notranslate"><span class="pre">approx</span></code> is set to ‘precise’ or ‘fast’ it applies</p>
+<div class="math notranslate nohighlight">
+\[\begin{split}\textrm{GELUApprox}(x) &amp;= x * \sigma\left(1.60033 * x \left(1 + 0.0433603 * x^2\right)\right) \\
+\textrm{GELUFast}(x) &amp;= x * \sigma\left(1.773 * x\right)\end{split}\]</div>
+<p>respectively.</p>
+<p>See <a class="reference internal" href="../_autosummary_functions/mlx.nn.gelu.html#mlx.nn.gelu" title="mlx.nn.gelu"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu()</span></code></a>, <a class="reference internal" href="../_autosummary_functions/mlx.nn.gelu_approx.html#mlx.nn.gelu_approx" title="mlx.nn.gelu_approx"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu_approx()</span></code></a> and <a class="reference internal" href="../_autosummary_functions/mlx.nn.gelu_fast_approx.html#mlx.nn.gelu_fast_approx" title="mlx.nn.gelu_fast_approx"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu_fast_approx()</span></code></a> for the
+functional equivalents and information regarding error bounds.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>approx</strong> (<em>'none'</em><em> | </em><em>'precise'</em><em> | </em><em>'fast'</em>) – Which approximation to gelu to use if any.</p>
+</dd>
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+  <section id="mlx-nn-groupnorm">
+<h1>mlx.nn.GroupNorm<a class="headerlink" href="#mlx-nn-groupnorm" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.GroupNorm">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">GroupNorm</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">num_groups</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">eps</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-05</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">affine</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">pytorch_compatible</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.GroupNorm" title="Permalink to this definition"></a></dt>
+<dd><p>Applies Group Normalization [1] to the inputs.</p>
+<p>Computes the same normalization as layer norm, namely</p>
+<div class="math notranslate nohighlight">
+\[y = \frac{x - E[x]}{\sqrt{Var[x]} + \epsilon} \gamma + \beta,\]</div>
+<p>where <span class="math notranslate nohighlight">\(\gamma\)</span> and <span class="math notranslate nohighlight">\(\beta\)</span> are learned per feature dimension
+parameters initialized at 1 and 0 respectively. However, the mean and
+variance are computed over the spatial dimensions and each group of
+features. In particular, the input is split into num_groups accross the
+feature dimension.</p>
+<p>The feature dimension is assumed to be the last dimension and the dimensions
+that precede it (except the first) are considered the spatial dimensions.</p>
+<p>[1]: <a class="reference external" href="https://arxiv.org/abs/1803.08494">https://arxiv.org/abs/1803.08494</a></p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>num_groups</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – Number of groups to separate the features into</p></li>
+<li><p><strong>dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The feature dimensions of the input to normalize over</p></li>
+<li><p><strong>eps</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – A small additive constant for numerical stability</p></li>
+<li><p><strong>affine</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – If True learn an affine transform to apply after the
+normalization.</p></li>
+<li><p><strong>pytorch_compatible</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – If True perform the group normalization in
+the same order/grouping as PyTorch.</p></li>
+</ul>
+</dd>
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+  <section id="mlx-nn-layernorm">
+<h1>mlx.nn.LayerNorm<a class="headerlink" href="#mlx-nn-layernorm" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.LayerNorm">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">LayerNorm</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">eps</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-05</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">affine</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.LayerNorm" title="Permalink to this definition"></a></dt>
+<dd><p>Applies layer normalization [1] on the inputs.</p>
+<p>Computes</p>
+<div class="math notranslate nohighlight">
+\[y = \frac{x - E[x]}{\sqrt{Var[x]} + \epsilon} \gamma + \beta,\]</div>
+<p>where <span class="math notranslate nohighlight">\(\gamma\)</span> and <span class="math notranslate nohighlight">\(\beta\)</span> are learned per feature dimension
+parameters initialized at 1 and 0 respectively.</p>
+<p>[1]: <a class="reference external" href="https://arxiv.org/abs/1607.06450">https://arxiv.org/abs/1607.06450</a></p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The feature dimension of the input to normalize over</p></li>
+<li><p><strong>eps</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – A small additive constant for numerical stability</p></li>
+<li><p><strong>affine</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – If True learn an affine transform to apply after the
+normalization</p></li>
+</ul>
+</dd>
+</dl>
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+
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+  <section id="mlx-nn-linear">
+<h1>mlx.nn.Linear<a class="headerlink" href="#mlx-nn-linear" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.Linear">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">Linear</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">input_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">output_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">bias</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Linear" title="Permalink to this definition"></a></dt>
+<dd><p>Applies an affine transformation to the input.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>input_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The dimensionality of the input features</p></li>
+<li><p><strong>output_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The dimensionality of the output features</p></li>
+<li><p><strong>bias</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – If set to False then the layer will not use a bias</p></li>
+</ul>
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+  <section id="mlx-nn-multiheadattention">
+<h1>mlx.nn.MultiHeadAttention<a class="headerlink" href="#mlx-nn-multiheadattention" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.MultiHeadAttention">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">MultiHeadAttention</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">num_heads</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">query_input_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">key_input_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">value_input_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">value_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">value_output_dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.MultiHeadAttention" title="Permalink to this definition"></a></dt>
+<dd><p>Implements the scaled dot product attention with multiple heads.</p>
+<p>Given inputs for queries, keys and values the <code class="docutils literal notranslate"><span class="pre">MultiHeadAttention</span></code> produces
+new values by aggregating information from the input values according to
+the similarities of the input queries and keys.</p>
+<p>All inputs as well as the output are lineary projected without biases.</p>
+<p>MultiHeadAttention also expects an additive attention mask that should be
+broadcastable with (batch, num_heads, # queries, # keys). The mask should
+have <code class="docutils literal notranslate"><span class="pre">-inf</span></code> or very negative numbers to the positions that should <em>not</em> be
+attended to.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The model dimensions. If no other dims are provided then
+dims is used for queries, keys, values and the output.</p></li>
+<li><p><strong>num_heads</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – How many attention heads to use</p></li>
+<li><p><strong>query_input_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The input dimensions of the queries (default: dims).</p></li>
+<li><p><strong>key_input_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The input dimensions of the keys (default: dims).</p></li>
+<li><p><strong>value_input_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The input dimensions of the values (default: key_input_dims).</p></li>
+<li><p><strong>value_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The dimensions of the values after the projection (default: dims).</p></li>
+<li><p><strong>value_output_dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a><em>, </em><em>optional</em>) – The dimensions the new values will be projected to (default: dims).</p></li>
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+  <section id="mlx-nn-rmsnorm">
+<h1>mlx.nn.RMSNorm<a class="headerlink" href="#mlx-nn-rmsnorm" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.RMSNorm">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">RMSNorm</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">eps</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-05</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.RMSNorm" title="Permalink to this definition"></a></dt>
+<dd><p>Applies Root Mean Square normalization [1] to the inputs.</p>
+<p>Computes</p>
+<div class="math notranslate nohighlight">
+\[y = \frac{x}{\sqrt{E[x^2] + \epsilon}} \gamma\]</div>
+<p>where <span class="math notranslate nohighlight">\(\gamma\)</span> is a learned per feature dimension parameter initialized at
+1.</p>
+<p>[1]: <a class="reference external" href="https://arxiv.org/abs/1910.07467">https://arxiv.org/abs/1910.07467</a></p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The feature dimension of the input to normalize over</p></li>
+<li><p><strong>eps</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – A small additive constant for numerical stability</p></li>
+</ul>
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+<h1>mlx.nn.ReLU<a class="headerlink" href="#mlx-nn-relu" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.ReLU">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">ReLU</span></span><a class="headerlink" href="#mlx.nn.ReLU" title="Permalink to this definition"></a></dt>
+<dd><p>Applies the Rectified Linear Unit.</p>
+<p>Simply <code class="docutils literal notranslate"><span class="pre">mx.maximum(x,</span> <span class="pre">0)</span></code>.</p>
+</dd></dl>
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+  <section id="mlx-nn-rope">
+<h1>mlx.nn.RoPE<a class="headerlink" href="#mlx-nn-rope" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.RoPE">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">RoPE</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">dims</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><span class="pre">int</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">traditional</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.RoPE" title="Permalink to this definition"></a></dt>
+<dd><p>Implements the rotary positional encoding [1].</p>
+<p>The traditional implementation rotates consecutive pairs of elements in the
+feature dimension while the default implementation rotates pairs with
+stride half the feature dimensions for efficiency.</p>
+<p>[1]: <a class="reference external" href="https://arxiv.org/abs/2104.09864">https://arxiv.org/abs/2104.09864</a></p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>dims</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#int" title="(in Python v3.12)"><em>int</em></a>) – The feature dimensions to be rotated. If the input feature
+is larger than dims then the rest is left unchanged.</p></li>
+<li><p><strong>traditional</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a>) – If set to True choose the traditional
+implementation which is slightly less efficient.</p></li>
+</ul>
+</dd>
+</dl>
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+
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+  <section id="mlx-nn-sequential">
+<h1>mlx.nn.Sequential<a class="headerlink" href="#mlx-nn-sequential" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.Sequential">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">Sequential</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">modules</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Sequential" title="Permalink to this definition"></a></dt>
+<dd><p>A layer that calls the passed callables in order.</p>
+<p>We can pass either modules or plain callables to the Sequential module. If
+our functions have learnable parameters they should be implemented as
+<code class="docutils literal notranslate"><span class="pre">nn.Module</span></code> instances.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>modules</strong> (<em>tuple of Callables</em>) – The modules to call in order</p>
+</dd>
+</dl>
+</dd></dl>
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+  <section id="mlx-nn-silu">
+<h1>mlx.nn.SiLU<a class="headerlink" href="#mlx-nn-silu" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.SiLU">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">SiLU</span></span><a class="headerlink" href="#mlx.nn.SiLU" title="Permalink to this definition"></a></dt>
+<dd><p>Applies the Sigmoid Linear Unit.</p>
+<p>Applies <span class="math notranslate nohighlight">\(x \sigma(x)\)</span> element wise, where <span class="math notranslate nohighlight">\(\sigma(\cdot)\)</span> is
+the logistic sigmoid.</p>
+</dd></dl>
+
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+  <section id="mlx-nn-value-and-grad">
+<h1>mlx.nn.value_and_grad<a class="headerlink" href="#mlx-nn-value-and-grad" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.nn.value_and_grad">
+<span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">value_and_grad</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">model</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference internal" href="../nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><span class="pre">Module</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.value_and_grad" title="Permalink to this definition"></a></dt>
+<dd><p>Transform the passed function <code class="docutils literal notranslate"><span class="pre">fn</span></code> to a function that computes the
+gradients of <code class="docutils literal notranslate"><span class="pre">fn</span></code> wrt the model’s trainable parameters and also its
+value.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>model</strong> (<a class="reference internal" href="../nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><em>Module</em></a>) – The model whose trainable parameters to compute
+gradients for</p></li>
+<li><p><strong>fn</strong> (<em>Callable</em>) – The scalar function to compute gradients for</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A callable that returns the value of <code class="docutils literal notranslate"><span class="pre">fn</span></code> and the gradients wrt the
+trainable parameters of <code class="docutils literal notranslate"><span class="pre">model</span></code></p>
+</dd>
+</dl>
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+             
+  <section id="mlx-optimizers-adam">
+<h1>mlx.optimizers.Adam<a class="headerlink" href="#mlx-optimizers-adam" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.optimizers.Adam">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.optimizers.</span></span><span class="sig-name descname"><span class="pre">Adam</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">learning_rate</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">betas</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.List" title="(in Python v3.12)"><span class="pre">List</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">[0.9,</span> <span class="pre">0.999]</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">eps</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">1e-08</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.optimizers.Adam" title="Permalink to this definition"></a></dt>
+<dd><p>Implementation of the Adam optimizer [1].</p>
+<p>Our Adam implementation follows the original paper and omits the bias
+correction in the first and second moment estimates. In detail,</p>
+<div class="math notranslate nohighlight">
+\[\begin{split}m_{t+1} &amp;= \beta_1 m_t + (1 - \beta_1) g_t \\
+v_{t+1} &amp;= \beta_2 v_t + (1 - \beta_2) g_t^2 \\
+w_{t+1} &amp;= w_t - \lambda \frac{m_{t+1}}{\sqrt{v_{t+1} + \epsilon}}\end{split}\]</div>
+<p>[1]: Kingma, D.P. and Ba, J., 2015. Adam: A method for stochastic
+optimization. ICLR 2015.</p>
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code>(learning_rate[, betas, eps])</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">apply_single</span></code>(gradient, parameter, state)</p></td>
+<td><p>Performs the Adam parameter update and stores <span class="math notranslate nohighlight">\(v\)</span> and <span class="math notranslate nohighlight">\(m\)</span> in the optimizer state.</p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-optimizers-optimizer">
+<h1>mlx.optimizers.Optimizer<a class="headerlink" href="#mlx-optimizers-optimizer" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.optimizers.Optimizer">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.optimizers.</span></span><span class="sig-name descname"><span class="pre">Optimizer</span></span><a class="headerlink" href="#mlx.optimizers.Optimizer" title="Permalink to this definition"></a></dt>
+<dd><p>The base class for all optimizers. It allows us to implement an
+optimizer on a per-parameter basis and apply it to a parameter tree.</p>
+<dl class="py attribute">
+<dt class="sig sig-object py" id="mlx.optimizers.Optimizer.state">
+<span class="sig-name descname"><span class="pre">state</span></span><a class="headerlink" href="#mlx.optimizers.Optimizer.state" title="Permalink to this definition"></a></dt>
+<dd><p>It holds the optimizer’s state dictionary.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><a class="reference internal" href="mlx.optimizers.OptimizerState.html#mlx.optimizers.OptimizerState" title="mlx.optimizers.OptimizerState"><em>OptimizerState</em></a></p>
+</dd>
+</dl>
+</dd></dl>
+
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code>()</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">apply_gradients</span></code>(gradients, model)</p></td>
+<td><p>Apply the gradients to the parameters and return the updated parameters.</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">apply_single</span></code>(gradient, parameter, state)</p></td>
+<td><p>To be extended by the children classes to implement each optimizer's update.</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">update</span></code>(model, gradients)</p></td>
+<td><p>Apply the gradients to the parameters of the model and update the model with the new parameters.</p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
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+             
+  <section id="mlx-optimizers-optimizerstate">
+<h1>mlx.optimizers.OptimizerState<a class="headerlink" href="#mlx-optimizers-optimizerstate" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.optimizers.OptimizerState">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.optimizers.</span></span><span class="sig-name descname"><span class="pre">OptimizerState</span></span><a class="headerlink" href="#mlx.optimizers.OptimizerState" title="Permalink to this definition"></a></dt>
+<dd><p>The optimizer state implements a recursively defined
+<a class="reference external" href="https://docs.python.org/3/library/collections.html#collections.defaultdict" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">collections.defaultdict</span></code></a>, namely a missing key in an optimizer
+state is an <a class="reference internal" href="#mlx.optimizers.OptimizerState" title="mlx.optimizers.OptimizerState"><code class="xref py py-class docutils literal notranslate"><span class="pre">OptimizerState</span></code></a>.</p>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p><code class="xref py py-meth docutils literal notranslate"><span class="pre">OptimizerState.get()</span></code> in contrast to a normal dictionary also sets
+the key to the <code class="docutils literal notranslate"><span class="pre">default</span></code> value if the <code class="docutils literal notranslate"><span class="pre">key</span></code> was not present in the
+dictionary.</p>
+</div>
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">get</span></code>(key, default)</p></td>
+<td><p>If <code class="docutils literal notranslate"><span class="pre">key</span></code> doesn't exist set its value to <code class="docutils literal notranslate"><span class="pre">default</span></code> and then return it.</p></td>
+</tr>
+</tbody>
+</table>
+</dd></dl>
+
+</section>
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+  <section id="mlx-optimizers-sgd">
+<h1>mlx.optimizers.SGD<a class="headerlink" href="#mlx-optimizers-sgd" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.optimizers.SGD">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.optimizers.</span></span><span class="sig-name descname"><span class="pre">SGD</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">learning_rate</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span></em>, <em class="sig-param"><span class="n"><span class="pre">momentum</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><span class="pre">float</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">0.0</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.optimizers.SGD" title="Permalink to this definition"></a></dt>
+<dd><p>Stochastic gradient descent optimizer.</p>
+<p>Updates a parameter <span class="math notranslate nohighlight">\(w\)</span> with a gradient <span class="math notranslate nohighlight">\(g\)</span> as follows</p>
+<div class="math notranslate nohighlight">
+\[\begin{split}v_{t+1} &amp;= \mu v_t + (1 - \mu) g_t \\
+w_{t+1} &amp;= w_t - \lambda v_{t+1}\end{split}\]</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>learning_rate</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – The learning <span class="math notranslate nohighlight">\(\lambda\)</span> for the update</p></li>
+<li><p><strong>momentum</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#float" title="(in Python v3.12)"><em>float</em></a>) – The momentum strength <span class="math notranslate nohighlight">\(\mu\)</span></p></li>
+</ul>
+</dd>
+</dl>
+<p class="rubric">Methods</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">__init__</span></code>(learning_rate[, momentum])</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-even"><td><p><code class="xref py py-obj docutils literal notranslate"><span class="pre">apply_single</span></code>(gradient, parameter, state)</p></td>
+<td><p>Performs the SGD parameter update and stores <span class="math notranslate nohighlight">\(v\)</span> in the optimizer state.</p></td>
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+             
+  <section id="mlx-utils-tree-flatten">
+<h1>mlx.utils.tree_flatten<a class="headerlink" href="#mlx-utils-tree-flatten" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.utils.tree_flatten">
+<span class="sig-prename descclassname"><span class="pre">mlx.utils.</span></span><span class="sig-name descname"><span class="pre">tree_flatten</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">tree</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">prefix</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">''</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">is_leaf</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.utils.tree_flatten" title="Permalink to this definition"></a></dt>
+<dd><p>Flattens a python tree to a list of key, value tuples.</p>
+<p>The keys are using the dot notation to define trees of arbitrary depth and
+complexity.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">mlx.utils</span> <span class="kn">import</span> <span class="n">tree_flatten</span>
+
+<span class="nb">print</span><span class="p">(</span><span class="n">tree_flatten</span><span class="p">([[[</span><span class="mi">0</span><span class="p">]]]))</span>
+<span class="c1"># [(&quot;0.0.0&quot;, 0)]</span>
+
+<span class="nb">print</span><span class="p">(</span><span class="n">tree_flatten</span><span class="p">([[[</span><span class="mi">0</span><span class="p">]]],</span> <span class="s2">&quot;.hello&quot;</span><span class="p">))</span>
+<span class="c1"># [(&quot;hello.0.0.0&quot;, 0)]</span>
+</pre></div>
+</div>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p>Dictionaries should have keys that are valid python identifiers.</p>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>tree</strong> (<em>Any</em>) – The python tree to be flattened.</p></li>
+<li><p><strong>prefix</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a>) – A prefix to use for the keys. The first character is
+always discarded.</p></li>
+<li><p><strong>is_leaf</strong> (<em>Callable</em>) – An optional callable that returns True if the
+passed object is considered a leaf or False otherwise.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>The flat representation of the python tree.</p>
+</dd>
+<dt class="field-odd">Return type<span class="colon">:</span></dt>
+<dd class="field-odd"><p><em>List</em>[<em>Tuple</em>[<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a>, <em>Any</em>]]</p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
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+</ul>
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+             
+  <section id="mlx-utils-tree-map">
+<h1>mlx.utils.tree_map<a class="headerlink" href="#mlx-utils-tree-map" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.utils.tree_map">
+<span class="sig-prename descclassname"><span class="pre">mlx.utils.</span></span><span class="sig-name descname"><span class="pre">tree_map</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">fn</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">tree</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">rest</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.utils.tree_map" title="Permalink to this definition"></a></dt>
+<dd><p>Applies <code class="docutils literal notranslate"><span class="pre">fn</span></code> to the leaves of the python tree <code class="docutils literal notranslate"><span class="pre">tree</span></code> and
+returns a new collection with the results.</p>
+<p>If <code class="docutils literal notranslate"><span class="pre">rest</span></code> is provided, every item is assumed to be a superset of <code class="docutils literal notranslate"><span class="pre">tree</span></code>
+and the corresponding leaves are provided as extra positional arguments to
+<code class="docutils literal notranslate"><span class="pre">fn</span></code>. In that respect, <a class="reference internal" href="#mlx.utils.tree_map" title="mlx.utils.tree_map"><code class="xref py py-meth docutils literal notranslate"><span class="pre">tree_map()</span></code></a> is closer to <a class="reference external" href="https://docs.python.org/3/library/itertools.html#itertools.starmap" title="(in Python v3.12)"><code class="xref py py-func docutils literal notranslate"><span class="pre">itertools.starmap()</span></code></a>
+than to <a class="reference external" href="https://docs.python.org/3/library/functions.html#map" title="(in Python v3.12)"><code class="xref py py-func docutils literal notranslate"><span class="pre">map()</span></code></a>.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.nn</span> <span class="k">as</span> <span class="nn">nn</span>
+<span class="kn">from</span> <span class="nn">mlx.utils</span> <span class="kn">import</span> <span class="n">tree_map</span>
+
+<span class="n">model</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
+<span class="nb">print</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">()</span><span class="o">.</span><span class="n">keys</span><span class="p">())</span>
+<span class="c1"># dict_keys([&#39;weight&#39;, &#39;bias&#39;])</span>
+
+<span class="c1"># square the parameters</span>
+<span class="n">model</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">tree_map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">*</span><span class="n">x</span><span class="p">,</span> <span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">()))</span>
+</pre></div>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>fn</strong> (<em>Callable</em>) – The function that processes the leaves of the tree</p></li>
+<li><p><strong>tree</strong> (<em>Any</em>) – The main python tree that will be iterated upon</p></li>
+<li><p><strong>rest</strong> (<em>Tuple</em><em>[</em><em>Any</em><em>]</em>) – Extra trees to be iterated together with tree</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A python tree with the new values returned by <code class="docutils literal notranslate"><span class="pre">fn</span></code>.</p>
+</dd>
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+             
+  <section id="mlx-utils-tree-unflatten">
+<h1>mlx.utils.tree_unflatten<a class="headerlink" href="#mlx-utils-tree-unflatten" title="Permalink to this heading"></a></h1>
+<dl class="py function">
+<dt class="sig sig-object py" id="mlx.utils.tree_unflatten">
+<span class="sig-prename descclassname"><span class="pre">mlx.utils.</span></span><span class="sig-name descname"><span class="pre">tree_unflatten</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">tree</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.utils.tree_unflatten" title="Permalink to this definition"></a></dt>
+<dd><p>Recreate a python tree from its flat representation.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">mlx.utils</span> <span class="kn">import</span> <span class="n">tree_unflatten</span>
+
+<span class="n">d</span> <span class="o">=</span> <span class="n">tree_unflatten</span><span class="p">([(</span><span class="s2">&quot;hello.world&quot;</span><span class="p">,</span> <span class="mi">42</span><span class="p">)])</span>
+<span class="nb">print</span><span class="p">(</span><span class="n">d</span><span class="p">)</span>
+<span class="c1"># {&quot;hello&quot;: {&quot;world&quot;: 42}}</span>
+</pre></div>
+</div>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>tree</strong> (<em>List</em><em>[</em><em>Tuple</em><em>[</em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a><em>, </em><em>Any</em><em>]</em><em>]</em>) – The flat representation of a python tree.
+For instance as returned by <a class="reference internal" href="mlx.utils.tree_flatten.html#mlx.utils.tree_flatten" title="mlx.utils.tree_flatten"><code class="xref py py-meth docutils literal notranslate"><span class="pre">tree_flatten()</span></code></a>.</p>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A python tree.</p>
+</dd>
+</dl>
+</dd></dl>
+
+</section>
+
+
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+             
+  <section id="mlx-nn-gelu">
+<h1>mlx.nn.gelu<a class="headerlink" href="#mlx-nn-gelu" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.gelu">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">gelu</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">x</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.gelu" title="Permalink to this definition"></a></dt>
+<dd><p>Applies the Gaussian Error Linear Units function.</p>
+<div class="math notranslate nohighlight">
+\[\textrm{GELU}(x) = x * \Phi(x)\]</div>
+<p>where <span class="math notranslate nohighlight">\(\Phi(x)\)</span> is the Gaussian CDF.</p>
+<p>See also <a class="reference internal" href="mlx.nn.gelu_approx.html#mlx.nn.gelu_approx" title="mlx.nn.gelu_approx"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu_approx()</span></code></a> and <a class="reference internal" href="mlx.nn.gelu_fast_approx.html#mlx.nn.gelu_fast_approx" title="mlx.nn.gelu_fast_approx"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu_fast_approx()</span></code></a> for faster
+approximations.</p>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-nn-gelu-approx">
+<h1>mlx.nn.gelu_approx<a class="headerlink" href="#mlx-nn-gelu-approx" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.gelu_approx">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">gelu_approx</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">x</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.gelu_approx" title="Permalink to this definition"></a></dt>
+<dd><p>An approximation to Gaussian Error Linear Unit.</p>
+<p>See <a class="reference internal" href="mlx.nn.gelu.html#mlx.nn.gelu" title="mlx.nn.gelu"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu()</span></code></a> for the exact computation.</p>
+<p>This function approximates <code class="docutils literal notranslate"><span class="pre">gelu</span></code> with a maximum absolute error <span class="math notranslate nohighlight">\(&lt;
+0.0003\)</span> in the range <span class="math notranslate nohighlight">\([-6, 6]\)</span> using the following</p>
+<div class="math notranslate nohighlight">
+\[x = x \sigma\left(1.60033 x \left(1 + 0.0433603 x^2\right)\right)\]</div>
+<p>where <span class="math notranslate nohighlight">\(\sigma(\cdot)\)</span> is the logistic sigmoid.</p>
+</dd></dl>
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+<h1>mlx.nn.gelu_fast_approx<a class="headerlink" href="#mlx-nn-gelu-fast-approx" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.gelu_fast_approx">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">gelu_fast_approx</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">x</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.gelu_fast_approx" title="Permalink to this definition"></a></dt>
+<dd><p>A fast approximation to Gaussian Error Linear Unit.</p>
+<p>See <a class="reference internal" href="mlx.nn.gelu.html#mlx.nn.gelu" title="mlx.nn.gelu"><code class="xref py py-func docutils literal notranslate"><span class="pre">gelu()</span></code></a> for the exact computation.</p>
+<p>This function approximates <code class="docutils literal notranslate"><span class="pre">gelu</span></code> with a maximum absolute error <span class="math notranslate nohighlight">\(&lt;
+0.015\)</span> in the range <span class="math notranslate nohighlight">\([-6, 6]\)</span> using the following</p>
+<div class="math notranslate nohighlight">
+\[x = x \sigma\left(1.773 x\right)\]</div>
+<p>where <span class="math notranslate nohighlight">\(\sigma(\cdot)\)</span> is the logistic sigmoid.</p>
+</dd></dl>
+
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+             
+  <section id="mlx-nn-relu">
+<h1>mlx.nn.relu<a class="headerlink" href="#mlx-nn-relu" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.relu">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">relu</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">x</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.relu" title="Permalink to this definition"></a></dt>
+<dd><p>Applies the Rectified Linear Unit.</p>
+<p>Simply <code class="docutils literal notranslate"><span class="pre">mx.maximum(x,</span> <span class="pre">0)</span></code>.</p>
+</dd></dl>
+
+</section>
+
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+  <section id="mlx-nn-silu">
+<h1>mlx.nn.silu<a class="headerlink" href="#mlx-nn-silu" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.silu">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">silu</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">x</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.silu" title="Permalink to this definition"></a></dt>
+<dd><p>Applies the Sigmoid Linear Unit.</p>
+<p>Applies <span class="math notranslate nohighlight">\(x \sigma(x)\)</span> element wise, where <span class="math notranslate nohighlight">\(\sigma(\cdot)\)</span> is
+the logistic sigmoid.</p>
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+             
+  <section id="array">
+<span id="id1"></span><h1>Array<a class="headerlink" href="#array" title="Permalink to this heading"></a></h1>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array</span></code></a></p></td>
+<td><p>An N-dimensional array object.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.astype.html#mlx.core.array.astype" title="mlx.core.array.astype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.astype</span></code></a>(self, dtype[, stream])</p></td>
+<td><p>Cast the array to a specified type.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.item.html#mlx.core.array.item" title="mlx.core.array.item"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.item</span></code></a>(self)</p></td>
+<td><p>Access the value of a scalar array.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.tolist.html#mlx.core.array.tolist" title="mlx.core.array.tolist"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.tolist</span></code></a>(self)</p></td>
+<td><p>Convert the array to a Python <a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">list</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.dtype.html#mlx.core.array.dtype" title="mlx.core.array.dtype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.dtype</span></code></a></p></td>
+<td><p>The array's <a class="reference internal" href="_autosummary/mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dtype</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.ndim.html#mlx.core.array.ndim" title="mlx.core.array.ndim"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.ndim</span></code></a></p></td>
+<td><p>The array's dimension.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.shape.html#mlx.core.array.shape" title="mlx.core.array.shape"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.shape</span></code></a></p></td>
+<td><p>The shape of the array as a Python list.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.size.html#mlx.core.array.size" title="mlx.core.array.size"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.size</span></code></a></p></td>
+<td><p>Number of elments in the array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Dtype</span></code></a></p></td>
+<td><p>An object to hold the type of a <a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.abs.html#mlx.core.array.abs" title="mlx.core.array.abs"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.abs</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.abs.html#mlx.core.abs" title="mlx.core.abs"><code class="xref py py-func docutils literal notranslate"><span class="pre">abs()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.all.html#mlx.core.array.all" title="mlx.core.array.all"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.all</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.all.html#mlx.core.all" title="mlx.core.all"><code class="xref py py-func docutils literal notranslate"><span class="pre">all()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.any.html#mlx.core.array.any" title="mlx.core.array.any"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.any</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.any.html#mlx.core.any" title="mlx.core.any"><code class="xref py py-func docutils literal notranslate"><span class="pre">any()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.argmax.html#mlx.core.array.argmax" title="mlx.core.array.argmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.argmax</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.argmax.html#mlx.core.argmax" title="mlx.core.argmax"><code class="xref py py-func docutils literal notranslate"><span class="pre">argmax()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.argmin.html#mlx.core.array.argmin" title="mlx.core.array.argmin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.argmin</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.argmin.html#mlx.core.argmin" title="mlx.core.argmin"><code class="xref py py-func docutils literal notranslate"><span class="pre">argmin()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.cos.html#mlx.core.array.cos" title="mlx.core.array.cos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.cos</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.cos.html#mlx.core.cos" title="mlx.core.cos"><code class="xref py py-func docutils literal notranslate"><span class="pre">cos()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.dtype.html#mlx.core.array.dtype" title="mlx.core.array.dtype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.dtype</span></code></a></p></td>
+<td><p>The array's <a class="reference internal" href="_autosummary/mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><code class="xref py py-class docutils literal notranslate"><span class="pre">Dtype</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.exp.html#mlx.core.array.exp" title="mlx.core.array.exp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.exp</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.exp.html#mlx.core.exp" title="mlx.core.exp"><code class="xref py py-func docutils literal notranslate"><span class="pre">exp()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.log.html#mlx.core.array.log" title="mlx.core.array.log"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.log</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.log.html#mlx.core.log" title="mlx.core.log"><code class="xref py py-func docutils literal notranslate"><span class="pre">log()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.log1p.html#mlx.core.array.log1p" title="mlx.core.array.log1p"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.log1p</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.log1p.html#mlx.core.log1p" title="mlx.core.log1p"><code class="xref py py-func docutils literal notranslate"><span class="pre">log1p()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.logsumexp.html#mlx.core.array.logsumexp" title="mlx.core.array.logsumexp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.logsumexp</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.logsumexp.html#mlx.core.logsumexp" title="mlx.core.logsumexp"><code class="xref py py-func docutils literal notranslate"><span class="pre">logsumexp()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.max.html#mlx.core.array.max" title="mlx.core.array.max"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.max</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.max.html#mlx.core.max" title="mlx.core.max"><code class="xref py py-func docutils literal notranslate"><span class="pre">max()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.mean.html#mlx.core.array.mean" title="mlx.core.array.mean"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.mean</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.mean.html#mlx.core.mean" title="mlx.core.mean"><code class="xref py py-func docutils literal notranslate"><span class="pre">mean()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.min.html#mlx.core.array.min" title="mlx.core.array.min"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.min</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.min.html#mlx.core.min" title="mlx.core.min"><code class="xref py py-func docutils literal notranslate"><span class="pre">min()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.prod.html#mlx.core.array.prod" title="mlx.core.array.prod"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.prod</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.prod.html#mlx.core.prod" title="mlx.core.prod"><code class="xref py py-func docutils literal notranslate"><span class="pre">prod()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.reciprocal.html#mlx.core.array.reciprocal" title="mlx.core.array.reciprocal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.reciprocal</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.reciprocal.html#mlx.core.reciprocal" title="mlx.core.reciprocal"><code class="xref py py-func docutils literal notranslate"><span class="pre">reciprocal()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.reshape.html#mlx.core.array.reshape" title="mlx.core.array.reshape"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.reshape</span></code></a>(self, *args[, stream])</p></td>
+<td><p>Equivalent to <a class="reference internal" href="_autosummary/mlx.core.reshape.html#mlx.core.reshape" title="mlx.core.reshape"><code class="xref py py-func docutils literal notranslate"><span class="pre">reshape()</span></code></a> but the shape can be passed either as a tuple or as separate arguments.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.rsqrt.html#mlx.core.array.rsqrt" title="mlx.core.array.rsqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.rsqrt</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.rsqrt.html#mlx.core.rsqrt" title="mlx.core.rsqrt"><code class="xref py py-func docutils literal notranslate"><span class="pre">rsqrt()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.sin.html#mlx.core.array.sin" title="mlx.core.array.sin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.sin</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.sin.html#mlx.core.sin" title="mlx.core.sin"><code class="xref py py-func docutils literal notranslate"><span class="pre">sin()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.split.html#mlx.core.array.split" title="mlx.core.array.split"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.split</span></code></a>(self, indices_or_sections[, ...])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.split.html#mlx.core.split" title="mlx.core.split"><code class="xref py py-func docutils literal notranslate"><span class="pre">split()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.sqrt.html#mlx.core.array.sqrt" title="mlx.core.array.sqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.sqrt</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.sqrt.html#mlx.core.sqrt" title="mlx.core.sqrt"><code class="xref py py-func docutils literal notranslate"><span class="pre">sqrt()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.square.html#mlx.core.array.square" title="mlx.core.array.square"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.square</span></code></a>(self, *[, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.square.html#mlx.core.square" title="mlx.core.square"><code class="xref py py-func docutils literal notranslate"><span class="pre">square()</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.sum.html#mlx.core.array.sum" title="mlx.core.array.sum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.sum</span></code></a>(self[, axis, keepdims, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.sum.html#mlx.core.sum" title="mlx.core.sum"><code class="xref py py-func docutils literal notranslate"><span class="pre">sum()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.transpose.html#mlx.core.array.transpose" title="mlx.core.array.transpose"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.transpose</span></code></a>(self, *args[, stream])</p></td>
+<td><p>Equivalent to <a class="reference internal" href="_autosummary/mlx.core.transpose.html#mlx.core.transpose" title="mlx.core.transpose"><code class="xref py py-func docutils literal notranslate"><span class="pre">transpose()</span></code></a> but the axes can be passed either as a tuple or as separate arguments.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.T.html#mlx.core.array.T" title="mlx.core.array.T"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.T</span></code></a></p></td>
+<td><p>Equivalent to calling <code class="docutils literal notranslate"><span class="pre">self.transpose()</span></code> with no arguments.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array.var.html#mlx.core.array.var" title="mlx.core.array.var"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array.var</span></code></a>(self[, axis, keepdims, ddof, stream])</p></td>
+<td><p>See <a class="reference internal" href="_autosummary/mlx.core.var.html#mlx.core.var" title="mlx.core.var"><code class="xref py py-func docutils literal notranslate"><span class="pre">var()</span></code></a>.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
+
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+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
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diff --git a/docs/build/html/python/data_types.html b/docs/build/html/python/data_types.html
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+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
+
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Data Types &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
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+<div role="search">
+  <form id="rtd-search-form" class="wy-form" action="../search.html" method="get">
+    <input type="text" name="q" placeholder="Search docs" aria-label="Search docs" />
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+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../install.html">Build and Install</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="random.html">Random</a></li>
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="id1">
+<h1>Data Types<a class="headerlink" href="#id1" title="Permalink to this heading"></a></h1>
+<p>The default floating point type is <code class="docutils literal notranslate"><span class="pre">float32</span></code> and the default integer type is
+<code class="docutils literal notranslate"><span class="pre">int32</span></code>. The table below shows supported values for <a class="reference internal" href="_autosummary/mlx.core.Dtype.html#mlx.core.Dtype" title="mlx.core.Dtype"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Dtype</span></code></a>.</p>
+<table class="docutils align-default" id="id2">
+<caption><span class="caption-text">Supported Data Types</span><a class="headerlink" href="#id2" title="Permalink to this table"></a></caption>
+<colgroup>
+<col style="width: 18%" />
+<col style="width: 11%" />
+<col style="width: 71%" />
+</colgroup>
+<thead>
+<tr class="row-odd"><th class="head"><p>Type</p></th>
+<th class="head"><p>Bytes</p></th>
+<th class="head"><p>Description</p></th>
+</tr>
+</thead>
+<tbody>
+<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">bool_</span></code></p></td>
+<td><p>1</p></td>
+<td><p>Boolean (<code class="docutils literal notranslate"><span class="pre">True</span></code>, <code class="docutils literal notranslate"><span class="pre">False</span></code>) data type</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">uint8</span></code></p></td>
+<td><p>1</p></td>
+<td><p>8-bit unsigned integer</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">uint16</span></code></p></td>
+<td><p>2</p></td>
+<td><p>16-bit unsigned integer</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">uint32</span></code></p></td>
+<td><p>4</p></td>
+<td><p>32-bit unsigned integer</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">uint32</span></code></p></td>
+<td><p>8</p></td>
+<td><p>32-bit unsigned integer</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">int8</span></code></p></td>
+<td><p>1</p></td>
+<td><p>8-bit signed integer</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">int16</span></code></p></td>
+<td><p>2</p></td>
+<td><p>16-bit signed integer</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">int32</span></code></p></td>
+<td><p>4</p></td>
+<td><p>32-bit signed integer</p></td>
+</tr>
+<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">int64</span></code></p></td>
+<td><p>8</p></td>
+<td><p>64-bit signed integer</p></td>
+</tr>
+<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">float16</span></code></p></td>
+<td><p>2</p></td>
+<td><p>16-bit float, only available with <a class="reference external" href="https://developer.arm.com/documentation/101028/0012/3--C-language-extensions?lang=en">ARM C language extensions</a></p></td>
+</tr>
+<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">float32</span></code></p></td>
+<td><p>4</p></td>
+<td><p>32-bit float</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
+
+           </div>
+          </div>
+          <footer>
+
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+
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diff --git a/docs/build/html/python/devices_and_streams.html b/docs/build/html/python/devices_and_streams.html
new file mode 100644
index 000000000..cd5abf0a8
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+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
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+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
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+  <title>Devices and Streams &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
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+<li class="toctree-l1 current"><a class="current reference internal" href="#">Devices and Streams</a><ul>
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+             
+  <section id="devices-and-streams">
+<span id="id1"></span><h1>Devices and Streams<a class="headerlink" href="#devices-and-streams" title="Permalink to this heading"></a></h1>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Device</span></code></a></p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.default_device.html#mlx.core.default_device" title="mlx.core.default_device"><code class="xref py py-obj docutils literal notranslate"><span class="pre">default_device</span></code></a>()</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.set_default_device.html#mlx.core.set_default_device" title="mlx.core.set_default_device"><code class="xref py py-obj docutils literal notranslate"><span class="pre">set_default_device</span></code></a>(device)</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Stream</span></code></a></p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.default_stream.html#mlx.core.default_stream" title="mlx.core.default_stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">default_stream</span></code></a>(device)</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.new_stream.html#mlx.core.new_stream" title="mlx.core.new_stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">new_stream</span></code></a>(device)</p></td>
+<td><p></p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.set_default_stream.html#mlx.core.set_default_stream" title="mlx.core.set_default_stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">set_default_stream</span></code></a>(stream)</p></td>
+<td><p></p></td>
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul class="current">
+<li class="toctree-l1"><a class="reference internal" href="array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="random.html">Random</a></li>
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+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.fftn.html">mlx.core.fft.fftn</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.ifftn.html">mlx.core.fft.ifftn</a></li>
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+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.rfftn.html">mlx.core.fft.rfftn</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.fft.irfftn.html">mlx.core.fft.irfftn</a></li>
+</ul>
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+<li class="toctree-l1"><a class="reference internal" href="nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
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+           <div itemprop="articleBody">
+             
+  <section id="fft">
+<span id="id1"></span><h1>FFT<a class="headerlink" href="#fft" title="Permalink to this heading"></a></h1>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.fft.html#mlx.core.fft.fft" title="mlx.core.fft.fft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fft</span></code></a>(a[, n, axis, stream])</p></td>
+<td><p>One dimensional discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.ifft.html#mlx.core.fft.ifft" title="mlx.core.fft.ifft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifft</span></code></a>(a[, n, axis, stream])</p></td>
+<td><p>One dimensional inverse discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.fft2.html#mlx.core.fft.fft2" title="mlx.core.fft.fft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fft2</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>Two dimensional discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.ifft2.html#mlx.core.fft.ifft2" title="mlx.core.fft.ifft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifft2</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>Two dimensional inverse discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.fftn.html#mlx.core.fft.fftn" title="mlx.core.fft.fftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fftn</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>n-dimensional discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.ifftn.html#mlx.core.fft.ifftn" title="mlx.core.fft.ifftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifftn</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>n-dimensional inverse discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.rfft.html#mlx.core.fft.rfft" title="mlx.core.fft.rfft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfft</span></code></a>(a[, n, axis, stream])</p></td>
+<td><p>One dimensional discrete Fourier Transform on a real input.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.irfft.html#mlx.core.fft.irfft" title="mlx.core.fft.irfft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">irfft</span></code></a>(a[, n, axis, stream])</p></td>
+<td><p>The inverse of <a class="reference internal" href="_autosummary/mlx.core.fft.rfft.html#mlx.core.fft.rfft" title="mlx.core.fft.rfft"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.rfft2.html#mlx.core.fft.rfft2" title="mlx.core.fft.rfft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfft2</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>Two dimensional real discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.irfft2.html#mlx.core.fft.irfft2" title="mlx.core.fft.irfft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">irfft2</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>The inverse of <a class="reference internal" href="_autosummary/mlx.core.fft.rfft2.html#mlx.core.fft.rfft2" title="mlx.core.fft.rfft2"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft2()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.rfftn.html#mlx.core.fft.rfftn" title="mlx.core.fft.rfftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfftn</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>n-dimensional real discrete Fourier Transform.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.fft.irfftn.html#mlx.core.fft.irfftn" title="mlx.core.fft.irfftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">irfftn</span></code></a>(a[, s, axes, stream])</p></td>
+<td><p>The inverse of <a class="reference internal" href="_autosummary/mlx.core.fft.rfftn.html#mlx.core.fft.rfftn" title="mlx.core.fft.rfftn"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfftn()</span></code></a>.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
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+</ul>
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+<li class="toctree-l1 current"><a class="current reference internal" href="#">Neural Networks</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="#quick-start-with-neural-networks">Quick Start with Neural Networks</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#the-module-class">The Module Class</a><ul>
+<li class="toctree-l3"><a class="reference internal" href="#parameters">Parameters</a></li>
+<li class="toctree-l3"><a class="reference internal" href="#updating-the-parameters">Updating the parameters</a></li>
+</ul>
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+<li class="toctree-l3"><a class="reference internal" href="_autosummary/mlx.nn.value_and_grad.html">mlx.nn.value_and_grad</a></li>
+</ul>
+</li>
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+<li class="toctree-l3"><a class="reference internal" href="_autosummary/mlx.nn.Embedding.html">mlx.nn.Embedding</a></li>
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
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+
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+             
+  <section id="neural-networks">
+<span id="nn"></span><h1>Neural Networks<a class="headerlink" href="#neural-networks" title="Permalink to this heading"></a></h1>
+<p>Writing arbitrarily complex neural networks in MLX can be done using only
+<a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> and <a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.core.value_and_grad()</span></code></a>. However, this requires the
+user to write again and again the same simple neural network operations as well
+as handle all the parameter state and initialization manually and explicitly.</p>
+<p>The module <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.nn</span></code> solves this problem by providing an intuitive way of
+composing neural network layers, initializing their parameters, freezing them
+for finetuning and more.</p>
+<section id="quick-start-with-neural-networks">
+<h2>Quick Start with Neural Networks<a class="headerlink" href="#quick-start-with-neural-networks" title="Permalink to this heading"></a></h2>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="kn">import</span> <span class="nn">mlx.nn</span> <span class="k">as</span> <span class="nn">nn</span>
+
+<span class="k">class</span> <span class="nc">MLP</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">in_dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">out_dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">layers</span> <span class="o">=</span> <span class="p">[</span>
+            <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">in_dims</span><span class="p">,</span> <span class="mi">128</span><span class="p">),</span>
+            <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="mi">128</span><span class="p">,</span> <span class="mi">128</span><span class="p">),</span>
+            <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="mi">128</span><span class="p">,</span> <span class="n">out_dims</span><span class="p">),</span>
+        <span class="p">]</span>
+
+    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
+        <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">l</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">layers</span><span class="p">):</span>
+            <span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">maximum</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span> <span class="k">if</span> <span class="n">i</span> <span class="o">&gt;</span> <span class="mi">0</span> <span class="k">else</span> <span class="n">x</span>
+            <span class="n">x</span> <span class="o">=</span> <span class="n">l</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="k">return</span> <span class="n">x</span>
+
+<span class="c1"># The model is created with all its parameters but nothing is initialized</span>
+<span class="c1"># yet because MLX is lazily evaluated</span>
+<span class="n">mlp</span> <span class="o">=</span> <span class="n">MLP</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
+
+<span class="c1"># We can access its parameters by calling mlp.parameters()</span>
+<span class="n">params</span> <span class="o">=</span> <span class="n">mlp</span><span class="o">.</span><span class="n">parameters</span><span class="p">()</span>
+<span class="nb">print</span><span class="p">(</span><span class="n">params</span><span class="p">[</span><span class="s2">&quot;layers&quot;</span><span class="p">][</span><span class="mi">0</span><span class="p">][</span><span class="s2">&quot;weight&quot;</span><span class="p">]</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span>
+
+<span class="c1"># Printing a parameter will cause it to be evaluated and thus initialized</span>
+<span class="nb">print</span><span class="p">(</span><span class="n">params</span><span class="p">[</span><span class="s2">&quot;layers&quot;</span><span class="p">][</span><span class="mi">0</span><span class="p">])</span>
+
+<span class="c1"># We can also force evaluate all parameters to initialize the model</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">mlp</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+
+<span class="c1"># A simple loss function.</span>
+<span class="c1"># NOTE: It doesn&#39;t matter how it uses the mlp model. It currently captures</span>
+<span class="c1">#       it from the local scope. It could be a positional argument or a</span>
+<span class="c1">#       keyword argument.</span>
+<span class="k">def</span> <span class="nf">l2_loss</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">):</span>
+    <span class="n">y_hat</span> <span class="o">=</span> <span class="n">mlp</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+    <span class="k">return</span> <span class="p">(</span><span class="n">y_hat</span> <span class="o">-</span> <span class="n">y</span><span class="p">)</span><span class="o">.</span><span class="n">square</span><span class="p">()</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
+
+<span class="c1"># Calling `nn.value_and_grad` instead of `mx.value_and_grad` returns the</span>
+<span class="c1"># gradient with respect to `mlp.trainable_parameters()`</span>
+<span class="n">loss_and_grad</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">mlp</span><span class="p">,</span> <span class="n">l2_loss</span><span class="p">)</span>
+</pre></div>
+</div>
+</section>
+<section id="the-module-class">
+<span id="module-class"></span><h2>The Module Class<a class="headerlink" href="#the-module-class" title="Permalink to this heading"></a></h2>
+<p>The workhorse of any neural network library is the <a class="reference internal" href="nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">Module</span></code></a> class. In
+MLX the <a class="reference internal" href="nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">Module</span></code></a> class is a container of <a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> or
+<a class="reference internal" href="nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">Module</span></code></a> instances. Its main function is to provide a way to
+recursively <strong>access</strong> and <strong>update</strong> its parameters and those of its
+submodules.</p>
+<section id="parameters">
+<h3>Parameters<a class="headerlink" href="#parameters" title="Permalink to this heading"></a></h3>
+<p>A parameter of a module is any public member of type <a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> (its
+name should not start with <code class="docutils literal notranslate"><span class="pre">_</span></code>). It can be arbitrarily nested in other
+<a class="reference internal" href="nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">Module</span></code></a> instances or lists and dictionaries.</p>
+<p><a class="reference internal" href="nn/module.html#mlx.nn.Module.parameters" title="mlx.nn.Module.parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Module.parameters()</span></code></a> can be used to extract a nested dictionary with all
+the parameters of a module and its submodules.</p>
+<p>A <a class="reference internal" href="nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">Module</span></code></a> can also keep track of “frozen” parameters.
+<a class="reference internal" href="nn/module.html#mlx.nn.Module.trainable_parameters" title="mlx.nn.Module.trainable_parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Module.trainable_parameters()</span></code></a> returns only the subset of
+<a class="reference internal" href="nn/module.html#mlx.nn.Module.parameters" title="mlx.nn.Module.parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Module.parameters()</span></code></a> that is not frozen. When using
+<a class="reference internal" href="_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad" title="mlx.nn.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.nn.value_and_grad()</span></code></a> the gradients returned will be with respect to these
+trainable parameters.</p>
+</section>
+<section id="updating-the-parameters">
+<h3>Updating the parameters<a class="headerlink" href="#updating-the-parameters" title="Permalink to this heading"></a></h3>
+<p>MLX modules allow accessing and updating individual parameters. However, most
+times we need to update large subsets of a module’s parameters. This action is
+performed by <a class="reference internal" href="nn/module.html#mlx.nn.Module.update" title="mlx.nn.Module.update"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Module.update()</span></code></a>.</p>
+</section>
+</section>
+<section id="value-and-grad">
+<h2>Value and grad<a class="headerlink" href="#value-and-grad" title="Permalink to this heading"></a></h2>
+<p>Using a <a class="reference internal" href="nn/module.html#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">Module</span></code></a> does not preclude using MLX’s high order function
+transformations (<a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.core.value_and_grad()</span></code></a>, <a class="reference internal" href="_autosummary/mlx.core.grad.html#mlx.core.grad" title="mlx.core.grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.core.grad()</span></code></a>, etc.). However,
+these function transformations assume pure functions, namely the parameters
+should be passed as an argument to the function being transformed.</p>
+<p>There is an easy pattern to achieve that with MLX modules</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">model</span> <span class="o">=</span> <span class="o">...</span>
+
+<span class="k">def</span> <span class="nf">f</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">other_inputs</span><span class="p">):</span>
+    <span class="n">model</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">params</span><span class="p">)</span>  <span class="c1"># &lt;---- Necessary to make the model use the passed parameters</span>
+    <span class="k">return</span> <span class="n">model</span><span class="p">(</span><span class="n">other_inputs</span><span class="p">)</span>
+
+<span class="n">f</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">trainable_parameters</span><span class="p">(),</span> <span class="n">mx</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">10</span><span class="p">,)))</span>
+</pre></div>
+</div>
+<p>However, <a class="reference internal" href="_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad" title="mlx.nn.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.nn.value_and_grad()</span></code></a> provides precisely this pattern and only
+computes the gradients with respect to the trainable parameters of the model.</p>
+<p>In detail:</p>
+<ul class="simple">
+<li><p>it wraps the passed function with a function that calls <a class="reference internal" href="nn/module.html#mlx.nn.Module.update" title="mlx.nn.Module.update"><code class="xref py py-meth docutils literal notranslate"><span class="pre">Module.update()</span></code></a>
+to make sure the model is using the provided parameters.</p></li>
+<li><p>it calls <a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.core.value_and_grad()</span></code></a> to transform the function into a function
+that also computes the gradients with respect to the passed parameters.</p></li>
+<li><p>it wraps the returned function with a function that passes the trainable
+parameters as the first argument to the function returned by
+<a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.core.value_and_grad()</span></code></a></p></li>
+</ul>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad" title="mlx.nn.value_and_grad"><code class="xref py py-obj docutils literal notranslate"><span class="pre">value_and_grad</span></code></a>(model, fn)</p></td>
+<td><p>Transform the passed function <code class="docutils literal notranslate"><span class="pre">fn</span></code> to a function that computes the gradients of <code class="docutils literal notranslate"><span class="pre">fn</span></code> wrt the model's trainable parameters and also its value.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+<section id="neural-network-layers">
+<h2>Neural Network Layers<a class="headerlink" href="#neural-network-layers" title="Permalink to this heading"></a></h2>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.Embedding.html#mlx.nn.Embedding" title="mlx.nn.Embedding"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Embedding</span></code></a>(num_embeddings, dims)</p></td>
+<td><p>Implements a simple lookup table that maps each input integer to a high-dimensional vector.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.nn.ReLU.html#mlx.nn.ReLU" title="mlx.nn.ReLU"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ReLU</span></code></a>()</p></td>
+<td><p>Applies the Rectified Linear Unit.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.GELU.html#mlx.nn.GELU" title="mlx.nn.GELU"><code class="xref py py-obj docutils literal notranslate"><span class="pre">GELU</span></code></a>([approx])</p></td>
+<td><p>Applies the Gaussian Error Linear Units.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.nn.SiLU.html#mlx.nn.SiLU" title="mlx.nn.SiLU"><code class="xref py py-obj docutils literal notranslate"><span class="pre">SiLU</span></code></a>()</p></td>
+<td><p>Applies the Sigmoid Linear Unit.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.Linear.html#mlx.nn.Linear" title="mlx.nn.Linear"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Linear</span></code></a>(input_dims, output_dims[, bias])</p></td>
+<td><p>Applies an affine transformation to the input.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.nn.Conv1d.html#mlx.nn.Conv1d" title="mlx.nn.Conv1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Conv1d</span></code></a>(in_channels, out_channels, kernel_size)</p></td>
+<td><p>Applies a 1-dimensional convolution over the multi-channel input sequence.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.Conv2d.html#mlx.nn.Conv2d" title="mlx.nn.Conv2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Conv2d</span></code></a>(in_channels, out_channels, kernel_size)</p></td>
+<td><p>Applies a 2-dimensional convolution over the multi-channel input image.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.nn.LayerNorm.html#mlx.nn.LayerNorm" title="mlx.nn.LayerNorm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">LayerNorm</span></code></a>(dims[, eps, affine])</p></td>
+<td><p>Applies layer normalization [1] on the inputs.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.RMSNorm.html#mlx.nn.RMSNorm" title="mlx.nn.RMSNorm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">RMSNorm</span></code></a>(dims[, eps])</p></td>
+<td><p>Applies Root Mean Square normalization [1] to the inputs.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.nn.GroupNorm.html#mlx.nn.GroupNorm" title="mlx.nn.GroupNorm"><code class="xref py py-obj docutils literal notranslate"><span class="pre">GroupNorm</span></code></a>(num_groups, dims[, eps, affine, ...])</p></td>
+<td><p>Applies Group Normalization [1] to the inputs.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.RoPE.html#mlx.nn.RoPE" title="mlx.nn.RoPE"><code class="xref py py-obj docutils literal notranslate"><span class="pre">RoPE</span></code></a>(dims[, traditional])</p></td>
+<td><p>Implements the rotary positional encoding [1].</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.nn.MultiHeadAttention.html#mlx.nn.MultiHeadAttention" title="mlx.nn.MultiHeadAttention"><code class="xref py py-obj docutils literal notranslate"><span class="pre">MultiHeadAttention</span></code></a>(dims, num_heads[, ...])</p></td>
+<td><p>Implements the scaled dot product attention with multiple heads.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.nn.Sequential.html#mlx.nn.Sequential" title="mlx.nn.Sequential"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Sequential</span></code></a>(*modules)</p></td>
+<td><p>A layer that calls the passed callables in order.</p></td>
+</tr>
+</tbody>
+</table>
+<p>Layers without parameters (e.g. activation functions) are also provided as
+simple functions.</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary_functions/mlx.nn.gelu.html#mlx.nn.gelu" title="mlx.nn.gelu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gelu</span></code></a>(x)</p></td>
+<td><p>Applies the Gaussian Error Linear Units function.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary_functions/mlx.nn.gelu_approx.html#mlx.nn.gelu_approx" title="mlx.nn.gelu_approx"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gelu_approx</span></code></a>(x)</p></td>
+<td><p>An approximation to Gaussian Error Linear Unit.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary_functions/mlx.nn.gelu_fast_approx.html#mlx.nn.gelu_fast_approx" title="mlx.nn.gelu_fast_approx"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gelu_fast_approx</span></code></a>(x)</p></td>
+<td><p>A fast approximation to Gaussian Error Linear Unit.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary_functions/mlx.nn.relu.html#mlx.nn.relu" title="mlx.nn.relu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">relu</span></code></a>(x)</p></td>
+<td><p>Applies the Rectified Linear Unit.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary_functions/mlx.nn.silu.html#mlx.nn.silu" title="mlx.nn.silu"><code class="xref py py-obj docutils literal notranslate"><span class="pre">silu</span></code></a>(x)</p></td>
+<td><p>Applies the Sigmoid Linear Unit.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+</section>
+
+
+           </div>
+          </div>
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+             
+  <section id="mlx-nn-module">
+<h1>mlx.nn.Module<a class="headerlink" href="#mlx-nn-module" title="Permalink to this heading"></a></h1>
+<dl class="py class">
+<dt class="sig sig-object py" id="mlx.nn.Module">
+<em class="property"><span class="pre">class</span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">mlx.nn.</span></span><span class="sig-name descname"><span class="pre">Module</span></span><a class="headerlink" href="#mlx.nn.Module" title="Permalink to this definition"></a></dt>
+<dd><p>Base class for building neural networks with MLX.</p>
+<p>All the layers provided in <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.nn.layers</span></code> subclass this class and
+your models should do the same.</p>
+<p>A <code class="docutils literal notranslate"><span class="pre">Module</span></code> can contain other <code class="docutils literal notranslate"><span class="pre">Module</span></code> instances or <a class="reference internal" href="../_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a>
+instances in arbitrary nesting of python lists or dicts. The <code class="docutils literal notranslate"><span class="pre">Module</span></code>
+then allows recursively extracting all the <a class="reference internal" href="../_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> instances
+using <a class="reference internal" href="#mlx.nn.Module.parameters" title="mlx.nn.Module.parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.nn.Module.parameters()</span></code></a>.</p>
+<p>In addition, the <code class="docutils literal notranslate"><span class="pre">Module</span></code> has the concept of trainable and non trainable
+parameters (called “frozen”). When using <a class="reference internal" href="../_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad" title="mlx.nn.value_and_grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.nn.value_and_grad()</span></code></a>
+the gradients are returned only with respect to the trainable parameters.
+All arrays in a module are trainable unless they are added in the “frozen”
+set by calling <a class="reference internal" href="#mlx.nn.Module.freeze" title="mlx.nn.Module.freeze"><code class="xref py py-meth docutils literal notranslate"><span class="pre">freeze()</span></code></a>.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="kn">import</span> <span class="nn">mlx.nn</span> <span class="k">as</span> <span class="nn">nn</span>
+
+<span class="k">class</span> <span class="nc">MyMLP</span><span class="p">(</span><span class="n">nn</span><span class="o">.</span><span class="n">Module</span><span class="p">):</span>
+    <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">in_dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">out_dims</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">hidden_dims</span><span class="p">:</span> <span class="nb">int</span> <span class="o">=</span> <span class="mi">16</span><span class="p">):</span>
+        <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">()</span>
+
+        <span class="bp">self</span><span class="o">.</span><span class="n">in_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">in_dims</span><span class="p">,</span> <span class="n">hidden_dims</span><span class="p">)</span>
+        <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">Linear</span><span class="p">(</span><span class="n">hidden_dims</span><span class="p">,</span> <span class="n">out_dims</span><span class="p">)</span>
+
+    <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">in_proj</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+        <span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">maximum</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
+        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">out_proj</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+
+<span class="n">model</span> <span class="o">=</span> <span class="n">MyMLP</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
+
+<span class="c1"># All the model parameters are created but since MLX is lazy by</span>
+<span class="c1"># default, they are not evaluated yet. Calling `mx.eval` actually</span>
+<span class="c1"># allocates memory and initializes the parameters.</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+
+<span class="c1"># Setting a parameter to a new value is as simply as accessing that</span>
+<span class="c1"># parameter and assigning a new array to it.</span>
+<span class="n">model</span><span class="o">.</span><span class="n">in_proj</span><span class="o">.</span><span class="n">weight</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">in_proj</span><span class="o">.</span><span class="n">weight</span> <span class="o">*</span> <span class="mi">2</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+</pre></div>
+</div>
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.apply">
+<span class="sig-name descname"><span class="pre">apply</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">map_fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a><span class="p"><span class="pre">[</span></span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="../_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="../_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><span class="pre">array</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">filter_fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a><span class="p"><span class="pre">[</span></span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#mlx.nn.Module" title="mlx.nn.Module"><span class="pre">Module</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Any" title="(in Python v3.12)"><span class="pre">Any</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.apply" title="Permalink to this definition"></a></dt>
+<dd><p>Map all the parameters using the provided <code class="docutils literal notranslate"><span class="pre">map_fn</span></code> and immediately
+update the module with the mapped parameters.</p>
+<p>For instance running <code class="docutils literal notranslate"><span class="pre">model.apply(lambda</span> <span class="pre">x:</span> <span class="pre">x.astype(mx.float16))</span></code>
+casts all parameters to 16 bit floats.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>map_fn</strong> (<em>Callable</em>) – Maps an array to another array</p></li>
+<li><p><strong>filter_fn</strong> (<em>Callable</em><em>, </em><em>optional</em>) – Filter to select which arrays to
+map (default: <code class="xref py py-meth docutils literal notranslate"><span class="pre">Module.valid_parameter_filter()</span></code>).</p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.apply_to_modules">
+<span class="sig-name descname"><span class="pre">apply_to_modules</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">apply_fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a><span class="p"><span class="pre">[</span></span><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference internal" href="#mlx.nn.Module" title="mlx.nn.Module"><span class="pre">Module</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Any" title="(in Python v3.12)"><span class="pre">Any</span></a><span class="p"><span class="pre">]</span></span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.apply_to_modules" title="Permalink to this definition"></a></dt>
+<dd><p>Apply a function to all the modules in this instance (including this
+instance).</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>apply_fn</strong> (<em>Callable</em>) – The function to apply to the modules.</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.children">
+<span class="sig-name descname"><span class="pre">children</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.children" title="Permalink to this definition"></a></dt>
+<dd><p>Return the direct descendants of this Module instance.</p>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.filter_and_map">
+<span class="sig-name descname"><span class="pre">filter_and_map</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">filter_fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a><span class="p"><span class="pre">[</span></span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#mlx.nn.Module" title="mlx.nn.Module"><span class="pre">Module</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Any" title="(in Python v3.12)"><span class="pre">Any</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">]</span></span></span></em>, <em class="sig-param"><span class="n"><span class="pre">map_fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">is_leaf_fn</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Callable" title="(in Python v3.12)"><span class="pre">Callable</span></a><span class="p"><span class="pre">[</span></span><span class="p"><span class="pre">[</span></span><a class="reference internal" href="#mlx.nn.Module" title="mlx.nn.Module"><span class="pre">Module</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Any" title="(in Python v3.12)"><span class="pre">Any</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.filter_and_map" title="Permalink to this definition"></a></dt>
+<dd><p>Recursively filter the contents of the module using <code class="docutils literal notranslate"><span class="pre">filter_fn</span></code>,
+namely only select keys and values where <code class="docutils literal notranslate"><span class="pre">filter_fn</span></code> returns true.</p>
+<p>This is used to implement <a class="reference internal" href="#mlx.nn.Module.parameters" title="mlx.nn.Module.parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">parameters()</span></code></a> and <a class="reference internal" href="#mlx.nn.Module.trainable_parameters" title="mlx.nn.Module.trainable_parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">trainable_parameters()</span></code></a>
+but it can also be used to extract any subset of the module’s parameters.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>filter_fn</strong> (<em>Callable</em>) – Given a value, the key in which it is found
+and the containing module, decide whether to keep the value or
+drop it.</p></li>
+<li><p><strong>map_fn</strong> (<em>Callable</em><em>, </em><em>optional</em>) – Optionally transform the value before
+returning it.</p></li>
+<li><p><strong>is_leaf_fn</strong> (<em>Callable</em><em>, </em><em>optional</em>) – Given a value, the key in which it
+is found and the containing module decide if it is a leaf.</p></li>
+</ul>
+</dd>
+<dt class="field-even">Returns<span class="colon">:</span></dt>
+<dd class="field-even"><p>A dictionary containing the contents of the module recursively filtered</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.freeze">
+<span class="sig-name descname"><span class="pre">freeze</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">recurse</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keys</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Union" title="(in Python v3.12)"><span class="pre">Union</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.List" title="(in Python v3.12)"><span class="pre">List</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">strict</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.freeze" title="Permalink to this definition"></a></dt>
+<dd><p>Freeze the Module’s parameters or some of them. Freezing a parameter means not
+computing gradients for it.</p>
+<p>This function is idempotent ie freezing a frozen model is a noop.</p>
+<p>For instance to only train the attention parameters from a transformer:</p>
+<blockquote>
+<div><p>model = …
+model.freeze()
+model.apply_to_modules(lambda k, v: v.unfreeze() if k.endswith(“attention”) else None)</p>
+</div></blockquote>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>recurse</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – If True then freeze the parameters of the
+submodules as well (default: True).</p></li>
+<li><p><strong>keys</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>[</em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a><em>]</em><em>, </em><em>optional</em>) – If provided then only these
+parameters will be frozen otherwise all the parameters of a
+module. For instance freeze all biases by calling
+<code class="docutils literal notranslate"><span class="pre">module.freeze(keys=&quot;bias&quot;)</span></code>.</p></li>
+<li><p><strong>strict</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – If set to True validate that the passed keys exist
+(default: False).</p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.leaf_modules">
+<span class="sig-name descname"><span class="pre">leaf_modules</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.leaf_modules" title="Permalink to this definition"></a></dt>
+<dd><p>Return the submodules that do not contain other modules.</p>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.load_weights">
+<span class="sig-name descname"><span class="pre">load_weights</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.load_weights" title="Permalink to this definition"></a></dt>
+<dd><p>Load and update the model’s weights from a <cite>.npz</cite> file.</p>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.modules">
+<span class="sig-name descname"><span class="pre">modules</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.modules" title="Permalink to this definition"></a></dt>
+<dd><p>Return a list with all the modules in this instance.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>A list of <a class="reference internal" href="#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Module</span></code></a> instances.</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.named_modules">
+<span class="sig-name descname"><span class="pre">named_modules</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.named_modules" title="Permalink to this definition"></a></dt>
+<dd><p>Return a list with all the modules in this instance and their name
+with dot notation.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Returns<span class="colon">:</span></dt>
+<dd class="field-odd"><p>A list of tuples (str, <a class="reference internal" href="#mlx.nn.Module" title="mlx.nn.Module"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.nn.Module</span></code></a>).</p>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.parameters">
+<span class="sig-name descname"><span class="pre">parameters</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.parameters" title="Permalink to this definition"></a></dt>
+<dd><p>Recursively return all the <a class="reference internal" href="../_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> members of this Module
+as a dict of dicts and lists.</p>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.save_weights">
+<span class="sig-name descname"><span class="pre">save_weights</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">file</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.save_weights" title="Permalink to this definition"></a></dt>
+<dd><p>Save the model’s weights to a <cite>.npz</cite> file.</p>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.trainable_parameters">
+<span class="sig-name descname"><span class="pre">trainable_parameters</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.trainable_parameters" title="Permalink to this definition"></a></dt>
+<dd><p>Recursively return all the non frozen <a class="reference internal" href="../_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">mlx.core.array</span></code></a> members of
+this Module as a dict of dicts and lists.</p>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.unfreeze">
+<span class="sig-name descname"><span class="pre">unfreeze</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="o"><span class="pre">*</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">recurse</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">True</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">keys</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Optional" title="(in Python v3.12)"><span class="pre">Optional</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.Union" title="(in Python v3.12)"><span class="pre">Union</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">,</span></span><span class="w"> </span><a class="reference external" href="https://docs.python.org/3/library/typing.html#typing.List" title="(in Python v3.12)"><span class="pre">List</span></a><span class="p"><span class="pre">[</span></span><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><span class="pre">str</span></a><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span><span class="p"><span class="pre">]</span></span></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">None</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">strict</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><span class="pre">bool</span></a></span><span class="w"> </span><span class="o"><span class="pre">=</span></span><span class="w"> </span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.unfreeze" title="Permalink to this definition"></a></dt>
+<dd><p>Unfreeze the Module’s parameters or some of them.</p>
+<p>This function is idempotent ie unfreezing a model that is not frozen is
+a noop.</p>
+<p>For instance to only train the biases one can do:</p>
+<blockquote>
+<div><p>model = …
+model.freeze()
+model.unfreeze(keys=”bias”)</p>
+</div></blockquote>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><ul class="simple">
+<li><p><strong>recurse</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – If True then unfreeze the parameters of the
+submodules as well (default: True).</p></li>
+<li><p><strong>keys</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a><em> or </em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#list" title="(in Python v3.12)"><em>list</em></a><em>[</em><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#str" title="(in Python v3.12)"><em>str</em></a><em>]</em><em>, </em><em>optional</em>) – If provided then only these
+parameters will be unfrozen otherwise all the parameters of a
+module. For instance unfreeze all biases by calling
+<code class="docutils literal notranslate"><span class="pre">module.unfreeze(keys=&quot;bias&quot;)</span></code>.</p></li>
+<li><p><strong>strict</strong> (<a class="reference external" href="https://docs.python.org/3/library/functions.html#bool" title="(in Python v3.12)"><em>bool</em></a><em>, </em><em>optional</em>) – If set to True validate that the passed keys exist
+(default: False).</p></li>
+</ul>
+</dd>
+</dl>
+</dd></dl>
+
+<dl class="py method">
+<dt class="sig sig-object py" id="mlx.nn.Module.update">
+<span class="sig-name descname"><span class="pre">update</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">parameters</span></span><span class="p"><span class="pre">:</span></span><span class="w"> </span><span class="n"><a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#dict" title="(in Python v3.12)"><span class="pre">dict</span></a></span></em><span class="sig-paren">)</span><a class="headerlink" href="#mlx.nn.Module.update" title="Permalink to this definition"></a></dt>
+<dd><p>Replace the parameters of this Module with the provided ones in the
+dict of dicts and lists.</p>
+<p>Commonly used by the optimizer to change the model to the updated
+(optimized) parameters. Also used by the <a class="reference internal" href="../_autosummary/mlx.nn.value_and_grad.html#mlx.nn.value_and_grad" title="mlx.nn.value_and_grad"><code class="xref py py-meth docutils literal notranslate"><span class="pre">mlx.nn.value_and_grad()</span></code></a> to set the
+tracers in the model in order to compute gradients.</p>
+<p>The passed in parameters dictionary need not be a full dictionary
+similar to <a class="reference internal" href="#mlx.nn.Module.parameters" title="mlx.nn.Module.parameters"><code class="xref py py-meth docutils literal notranslate"><span class="pre">parameters()</span></code></a>. Only the provided locations will be
+updated.</p>
+<dl class="field-list simple">
+<dt class="field-odd">Parameters<span class="colon">:</span></dt>
+<dd class="field-odd"><p><strong>parameters</strong> (<a class="reference external" href="https://docs.python.org/3/library/stdtypes.html#dict" title="(in Python v3.12)"><em>dict</em></a>) – A complete or partial dictionary of the modules
+parameters.</p>
+</dd>
+</dl>
+</dd></dl>
+
+</dd></dl>
+
+</section>
+
+
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+</ul>
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+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
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+             
+  <section id="operations">
+<span id="ops"></span><h1>Operations<a class="headerlink" href="#operations" title="Permalink to this heading"></a></h1>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.abs.html#mlx.core.abs" title="mlx.core.abs"><code class="xref py py-obj docutils literal notranslate"><span class="pre">abs</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise absolute value.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.add.html#mlx.core.add" title="mlx.core.add"><code class="xref py py-obj docutils literal notranslate"><span class="pre">add</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise addition.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.all.html#mlx.core.all" title="mlx.core.all"><code class="xref py py-obj docutils literal notranslate"><span class="pre">all</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>An <cite>and</cite> reduction over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.allclose.html#mlx.core.allclose" title="mlx.core.allclose"><code class="xref py py-obj docutils literal notranslate"><span class="pre">allclose</span></code></a>(a, b, /[, rtol, atol, stream])</p></td>
+<td><p>Approximate comparison of two arrays.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.any.html#mlx.core.any" title="mlx.core.any"><code class="xref py py-obj docutils literal notranslate"><span class="pre">any</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>An <cite>or</cite> reduction over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.arange.html#mlx.core.arange" title="mlx.core.arange"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arange</span></code></a>(start, stop, step[, dtype, stream])</p></td>
+<td><p>Generates ranges of numbers.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.arccos.html#mlx.core.arccos" title="mlx.core.arccos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arccos</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse cosine.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.arccosh.html#mlx.core.arccosh" title="mlx.core.arccosh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arccosh</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse hyperbolic cosine.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.arcsin.html#mlx.core.arcsin" title="mlx.core.arcsin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arcsin</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse sine.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.arcsinh.html#mlx.core.arcsinh" title="mlx.core.arcsinh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arcsinh</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse hyperbolic sine.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.arctan.html#mlx.core.arctan" title="mlx.core.arctan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctan</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse tangent.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.arctanh.html#mlx.core.arctanh" title="mlx.core.arctanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">arctanh</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse hyperbolic tangent.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.argmax.html#mlx.core.argmax" title="mlx.core.argmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">argmax</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>Indices of the maximum values along the axis.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.argmin.html#mlx.core.argmin" title="mlx.core.argmin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">argmin</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>Indices of the minimum values along the axis.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.argpartition.html#mlx.core.argpartition" title="mlx.core.argpartition"><code class="xref py py-obj docutils literal notranslate"><span class="pre">argpartition</span></code></a>(a, /, kth[, axis, stream])</p></td>
+<td><p>Returns the indices that partition the array.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.argsort.html#mlx.core.argsort" title="mlx.core.argsort"><code class="xref py py-obj docutils literal notranslate"><span class="pre">argsort</span></code></a>(a, /[, axis, stream])</p></td>
+<td><p>Returns the indices that sort the array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.array_equal.html#mlx.core.array_equal" title="mlx.core.array_equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">array_equal</span></code></a>(a, b, /, *[, equal_nan, stream])</p></td>
+<td><p>Array equality check.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.broadcast_to.html#mlx.core.broadcast_to" title="mlx.core.broadcast_to"><code class="xref py py-obj docutils literal notranslate"><span class="pre">broadcast_to</span></code></a>(a, /, shape, *[, stream])</p></td>
+<td><p>Broadcast an array to the given shape.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.concatenate.html#mlx.core.concatenate" title="mlx.core.concatenate"><code class="xref py py-obj docutils literal notranslate"><span class="pre">concatenate</span></code></a>(arrays, /[, axis, stream])</p></td>
+<td><p>Concatenate the arrays along the given axis.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.convolve.html#mlx.core.convolve" title="mlx.core.convolve"><code class="xref py py-obj docutils literal notranslate"><span class="pre">convolve</span></code></a>(a, v, /[, mode, stream])</p></td>
+<td><p>The discrete convolution of 1D arrays.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.conv1d.html#mlx.core.conv1d" title="mlx.core.conv1d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv1d</span></code></a>(input, weight, /[, stride, padding, ...])</p></td>
+<td><p>1D convolution over an input with several channels</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.conv2d.html#mlx.core.conv2d" title="mlx.core.conv2d"><code class="xref py py-obj docutils literal notranslate"><span class="pre">conv2d</span></code></a>(input, weight, /[, stride, padding, ...])</p></td>
+<td><p>2D convolution over an input with several channels</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.cos.html#mlx.core.cos" title="mlx.core.cos"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cos</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise cosine.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.cosh.html#mlx.core.cosh" title="mlx.core.cosh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">cosh</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise hyperbolic cosine.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.divide.html#mlx.core.divide" title="mlx.core.divide"><code class="xref py py-obj docutils literal notranslate"><span class="pre">divide</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise division.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.equal.html#mlx.core.equal" title="mlx.core.equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">equal</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise equality.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.erf.html#mlx.core.erf" title="mlx.core.erf"><code class="xref py py-obj docutils literal notranslate"><span class="pre">erf</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise error function.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.erfinv.html#mlx.core.erfinv" title="mlx.core.erfinv"><code class="xref py py-obj docutils literal notranslate"><span class="pre">erfinv</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise inverse of <a class="reference internal" href="_autosummary/mlx.core.erf.html#mlx.core.erf" title="mlx.core.erf"><code class="xref py py-func docutils literal notranslate"><span class="pre">erf()</span></code></a>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.exp.html#mlx.core.exp" title="mlx.core.exp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">exp</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise exponential.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.expand_dims.html#mlx.core.expand_dims" title="mlx.core.expand_dims"><code class="xref py py-obj docutils literal notranslate"><span class="pre">expand_dims</span></code></a>(a, /, axis, *[, stream])</p></td>
+<td><p>Add a size one dimension at the given axis.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.full.html#mlx.core.full" title="mlx.core.full"><code class="xref py py-obj docutils literal notranslate"><span class="pre">full</span></code></a>(shape, vals[, dtype, stream])</p></td>
+<td><p>Construct an array with the given value.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.greater.html#mlx.core.greater" title="mlx.core.greater"><code class="xref py py-obj docutils literal notranslate"><span class="pre">greater</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise greater than.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.greater_equal.html#mlx.core.greater_equal" title="mlx.core.greater_equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">greater_equal</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise greater or equal.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.less.html#mlx.core.less" title="mlx.core.less"><code class="xref py py-obj docutils literal notranslate"><span class="pre">less</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise less than.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.less_equal.html#mlx.core.less_equal" title="mlx.core.less_equal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">less_equal</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise less than or equal.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.load.html#mlx.core.load" title="mlx.core.load"><code class="xref py py-obj docutils literal notranslate"><span class="pre">load</span></code></a>(file, /, *[, stream])</p></td>
+<td><p>Load array(s) from a binary file in <code class="docutils literal notranslate"><span class="pre">.npy</span></code> or <code class="docutils literal notranslate"><span class="pre">.npz</span></code> format.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.log.html#mlx.core.log" title="mlx.core.log"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise natural logarithm.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.log2.html#mlx.core.log2" title="mlx.core.log2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log2</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise base-2 logarithm.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.log10.html#mlx.core.log10" title="mlx.core.log10"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log10</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise base-10 logarithm.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.log1p.html#mlx.core.log1p" title="mlx.core.log1p"><code class="xref py py-obj docutils literal notranslate"><span class="pre">log1p</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise natural log of one plus the array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.logaddexp.html#mlx.core.logaddexp" title="mlx.core.logaddexp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logaddexp</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise log-add-exp.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.logical_not.html#mlx.core.logical_not" title="mlx.core.logical_not"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logical_not</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise logical not.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.logsumexp.html#mlx.core.logsumexp" title="mlx.core.logsumexp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">logsumexp</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>A <cite>log-sum-exp</cite> reduction over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.matmul.html#mlx.core.matmul" title="mlx.core.matmul"><code class="xref py py-obj docutils literal notranslate"><span class="pre">matmul</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Matrix multiplication.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.max.html#mlx.core.max" title="mlx.core.max"><code class="xref py py-obj docutils literal notranslate"><span class="pre">max</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>An <cite>max</cite> reduction over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.maximum.html#mlx.core.maximum" title="mlx.core.maximum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">maximum</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise maximum.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.mean.html#mlx.core.mean" title="mlx.core.mean"><code class="xref py py-obj docutils literal notranslate"><span class="pre">mean</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>Compute the mean(s) over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.min.html#mlx.core.min" title="mlx.core.min"><code class="xref py py-obj docutils literal notranslate"><span class="pre">min</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>An <cite>min</cite> reduction over the given axes.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.minimum.html#mlx.core.minimum" title="mlx.core.minimum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">minimum</span></code></a>(a, b, /[, stream])</p></td>
+<td><p>Element-wise minimum.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.multiply.html#mlx.core.multiply" title="mlx.core.multiply"><code class="xref py py-obj docutils literal notranslate"><span class="pre">multiply</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise multiplication.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.negative.html#mlx.core.negative" title="mlx.core.negative"><code class="xref py py-obj docutils literal notranslate"><span class="pre">negative</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise negation.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.ones.html#mlx.core.ones" title="mlx.core.ones"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ones</span></code></a>(shape[, dtype, stream])</p></td>
+<td><p>Construct an array of ones.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.ones_like.html#mlx.core.ones_like" title="mlx.core.ones_like"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ones_like</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>An array of ones like the input.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.partition.html#mlx.core.partition" title="mlx.core.partition"><code class="xref py py-obj docutils literal notranslate"><span class="pre">partition</span></code></a>(a, /, kth[, axis, stream])</p></td>
+<td><p>Returns a partitioned copy of the array such that the smaller <code class="docutils literal notranslate"><span class="pre">kth</span></code> elements are first.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.pad.html#mlx.core.pad" title="mlx.core.pad"><code class="xref py py-obj docutils literal notranslate"><span class="pre">pad</span></code></a>(a, /, pad_width[, constant_values, stream])</p></td>
+<td><p>Pad an array with a constant value</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.prod.html#mlx.core.prod" title="mlx.core.prod"><code class="xref py py-obj docutils literal notranslate"><span class="pre">prod</span></code></a>(a, /[, axis, keepdims, stream])</p></td>
+<td><p>An product reduction over the given axes.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.reciprocal.html#mlx.core.reciprocal" title="mlx.core.reciprocal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">reciprocal</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise reciprocal.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.reshape.html#mlx.core.reshape" title="mlx.core.reshape"><code class="xref py py-obj docutils literal notranslate"><span class="pre">reshape</span></code></a>(a, /, shape, *[, stream])</p></td>
+<td><p>Reshape an array while preserving the size.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.rsqrt.html#mlx.core.rsqrt" title="mlx.core.rsqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rsqrt</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise reciprocal and square root.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.save.html#mlx.core.save" title="mlx.core.save"><code class="xref py py-obj docutils literal notranslate"><span class="pre">save</span></code></a>(file, arr, /[, retain_graph])</p></td>
+<td><p>Save the array to a binary file in <code class="docutils literal notranslate"><span class="pre">.npy</span></code> format.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.savez.html#mlx.core.savez" title="mlx.core.savez"><code class="xref py py-obj docutils literal notranslate"><span class="pre">savez</span></code></a>(file, /, *args, **kwargs)</p></td>
+<td><p>Save several arrays to a binary file in uncompressed <code class="docutils literal notranslate"><span class="pre">.npz</span></code> format.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.savez_compressed.html#mlx.core.savez_compressed" title="mlx.core.savez_compressed"><code class="xref py py-obj docutils literal notranslate"><span class="pre">savez_compressed</span></code></a>(file, /, *args, **kwargs)</p></td>
+<td><p>Save several arrays to a binary file in compressed <code class="docutils literal notranslate"><span class="pre">.npz</span></code> format.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.sigmoid.html#mlx.core.sigmoid" title="mlx.core.sigmoid"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sigmoid</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise logistic sigmoid.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.sign.html#mlx.core.sign" title="mlx.core.sign"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sign</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise sign.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.sin.html#mlx.core.sin" title="mlx.core.sin"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sin</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise sine.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.sinh.html#mlx.core.sinh" title="mlx.core.sinh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sinh</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise hyperbolic sine.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.softmax.html#mlx.core.softmax" title="mlx.core.softmax"><code class="xref py py-obj docutils literal notranslate"><span class="pre">softmax</span></code></a>(a, /[, axis, stream])</p></td>
+<td><p>Perform the softmax along the given axis.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.sort.html#mlx.core.sort" title="mlx.core.sort"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sort</span></code></a>(a, /[, axis, stream])</p></td>
+<td><p>Returns a sorted copy of the array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.split.html#mlx.core.split" title="mlx.core.split"><code class="xref py py-obj docutils literal notranslate"><span class="pre">split</span></code></a>(a, /, indices_or_sections[, axis, stream])</p></td>
+<td><p>Split an array along a given axis.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.sqrt.html#mlx.core.sqrt" title="mlx.core.sqrt"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sqrt</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise square root.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.square.html#mlx.core.square" title="mlx.core.square"><code class="xref py py-obj docutils literal notranslate"><span class="pre">square</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise square.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.squeeze.html#mlx.core.squeeze" title="mlx.core.squeeze"><code class="xref py py-obj docutils literal notranslate"><span class="pre">squeeze</span></code></a>(a, /[, axis, stream])</p></td>
+<td><p>Remove length one axes from an array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.stop_gradient.html#mlx.core.stop_gradient" title="mlx.core.stop_gradient"><code class="xref py py-obj docutils literal notranslate"><span class="pre">stop_gradient</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Stop gradients from being computed.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.subtract.html#mlx.core.subtract" title="mlx.core.subtract"><code class="xref py py-obj docutils literal notranslate"><span class="pre">subtract</span></code></a>(a, b, /, *[, stream])</p></td>
+<td><p>Element-wise subtraction.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.sum.html#mlx.core.sum" title="mlx.core.sum"><code class="xref py py-obj docutils literal notranslate"><span class="pre">sum</span></code></a>(array, /[, axis, keepdims, stream])</p></td>
+<td><p>Sum reduce the array over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.take.html#mlx.core.take" title="mlx.core.take"><code class="xref py py-obj docutils literal notranslate"><span class="pre">take</span></code></a>(a, /, indices[, axis, stream])</p></td>
+<td><p>Take elements along an axis.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.take_along_axis.html#mlx.core.take_along_axis" title="mlx.core.take_along_axis"><code class="xref py py-obj docutils literal notranslate"><span class="pre">take_along_axis</span></code></a>(a, /, indices, axis, *[, stream])</p></td>
+<td><p>Take values along an axis at the specified indices.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.tan.html#mlx.core.tan" title="mlx.core.tan"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tan</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise tangent.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.tanh.html#mlx.core.tanh" title="mlx.core.tanh"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tanh</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>Element-wise hyperbolic tangent.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.transpose.html#mlx.core.transpose" title="mlx.core.transpose"><code class="xref py py-obj docutils literal notranslate"><span class="pre">transpose</span></code></a>(a, /[, axes, stream])</p></td>
+<td><p>Transpose the dimensions of the array.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.var.html#mlx.core.var" title="mlx.core.var"><code class="xref py py-obj docutils literal notranslate"><span class="pre">var</span></code></a>(a, /[, axis, keepdims, ddof, stream])</p></td>
+<td><p>Compute the variance(s) over the given axes.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.where.html#mlx.core.where" title="mlx.core.where"><code class="xref py py-obj docutils literal notranslate"><span class="pre">where</span></code></a>(condition, x, y, /, *[, stream])</p></td>
+<td><p>Select from <code class="docutils literal notranslate"><span class="pre">x</span></code> or <code class="docutils literal notranslate"><span class="pre">y</span></code> according to <code class="docutils literal notranslate"><span class="pre">condition</span></code>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.zeros.html#mlx.core.zeros" title="mlx.core.zeros"><code class="xref py py-obj docutils literal notranslate"><span class="pre">zeros</span></code></a>(shape[, dtype, stream])</p></td>
+<td><p>Construct an array of zeros.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.zeros_like.html#mlx.core.zeros_like" title="mlx.core.zeros_like"><code class="xref py py-obj docutils literal notranslate"><span class="pre">zeros_like</span></code></a>(a, /, *[, stream])</p></td>
+<td><p>An array of zeros like the input.</p></td>
+</tr>
+</tbody>
+</table>
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+             
+  <section id="optimizers">
+<span id="id1"></span><h1>Optimizers<a class="headerlink" href="#optimizers" title="Permalink to this heading"></a></h1>
+<p>The optimizers in MLX can be used both with <code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.nn</span></code> but also with pure
+<code class="xref py py-mod docutils literal notranslate"><span class="pre">mlx.core</span></code> functions. A typical example involves calling
+<code class="xref py py-meth docutils literal notranslate"><span class="pre">Optimizer.update()</span></code> to update a model’s parameters based on the loss
+gradients and subsequently calling <a class="reference internal" href="_autosummary/mlx.core.eval.html#mlx.core.eval" title="mlx.core.eval"><code class="xref py py-func docutils literal notranslate"><span class="pre">mlx.core.eval()</span></code></a> to evaluate both the
+model’s parameters and the <strong>optimizer state</strong>.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># Create a model</span>
+<span class="n">model</span> <span class="o">=</span> <span class="n">MLP</span><span class="p">(</span><span class="n">num_layers</span><span class="p">,</span> <span class="n">train_images</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">],</span> <span class="n">hidden_dim</span><span class="p">,</span> <span class="n">num_classes</span><span class="p">)</span>
+<span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">())</span>
+
+<span class="c1"># Create the gradient function and the optimizer</span>
+<span class="n">loss_and_grad_fn</span> <span class="o">=</span> <span class="n">nn</span><span class="o">.</span><span class="n">value_and_grad</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">loss_fn</span><span class="p">)</span>
+<span class="n">optimizer</span> <span class="o">=</span> <span class="n">optim</span><span class="o">.</span><span class="n">SGD</span><span class="p">(</span><span class="n">learning_rate</span><span class="o">=</span><span class="n">learning_rate</span><span class="p">)</span>
+
+<span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_epochs</span><span class="p">):</span>
+    <span class="k">for</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span> <span class="ow">in</span> <span class="n">batch_iterate</span><span class="p">(</span><span class="n">batch_size</span><span class="p">,</span> <span class="n">train_images</span><span class="p">,</span> <span class="n">train_labels</span><span class="p">):</span>
+        <span class="n">loss</span><span class="p">,</span> <span class="n">grads</span> <span class="o">=</span> <span class="n">loss_and_grad_fn</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
+
+        <span class="c1"># Update the model with the gradients. So far no computation has happened.</span>
+        <span class="n">optimizer</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">grads</span><span class="p">)</span>
+
+        <span class="c1"># Compute the new parameters but also the optimizer state.</span>
+        <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">parameters</span><span class="p">(),</span> <span class="n">optimizer</span><span class="o">.</span><span class="n">state</span><span class="p">)</span>
+</pre></div>
+</div>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.optimizers.OptimizerState.html#mlx.optimizers.OptimizerState" title="mlx.optimizers.OptimizerState"><code class="xref py py-obj docutils literal notranslate"><span class="pre">OptimizerState</span></code></a></p></td>
+<td><p>The optimizer state implements a recursively defined <a class="reference external" href="https://docs.python.org/3/library/collections.html#collections.defaultdict" title="(in Python v3.12)"><code class="xref py py-class docutils literal notranslate"><span class="pre">collections.defaultdict</span></code></a>, namely a missing key in an optimizer state is an <a class="reference internal" href="_autosummary/mlx.optimizers.OptimizerState.html#mlx.optimizers.OptimizerState" title="mlx.optimizers.OptimizerState"><code class="xref py py-class docutils literal notranslate"><span class="pre">OptimizerState</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.optimizers.Optimizer.html#mlx.optimizers.Optimizer" title="mlx.optimizers.Optimizer"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Optimizer</span></code></a>()</p></td>
+<td><p>The base class for all optimizers.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.optimizers.SGD.html#mlx.optimizers.SGD" title="mlx.optimizers.SGD"><code class="xref py py-obj docutils literal notranslate"><span class="pre">SGD</span></code></a>(learning_rate[, momentum])</p></td>
+<td><p>Stochastic gradient descent optimizer.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.optimizers.Adam.html#mlx.optimizers.Adam" title="mlx.optimizers.Adam"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Adam</span></code></a>(learning_rate[, betas, eps])</p></td>
+<td><p>Implementation of the Adam optimizer [1].</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
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+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
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+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Random &mdash; MLX 0.0.0 documentation</title>
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+<li class="toctree-l1"><a class="reference internal" href="../install.html">Build and Install</a></li>
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+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul class="current">
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+<li class="toctree-l1"><a class="reference internal" href="ops.html">Operations</a></li>
+<li class="toctree-l1 current"><a class="current reference internal" href="#">Random</a><ul>
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+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.split.html">mlx.core.random.split</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.bernoulli.html">mlx.core.random.bernoulli</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.categorical.html">mlx.core.random.categorical</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.gumbel.html">mlx.core.random.gumbel</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.normal.html">mlx.core.random.normal</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.randint.html">mlx.core.random.randint</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.uniform.html">mlx.core.random.uniform</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.random.truncated_normal.html">mlx.core.random.truncated_normal</a></li>
+</ul>
+</li>
+<li class="toctree-l1"><a class="reference internal" href="transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
+</ul>
+
+        </div>
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+      <li class="breadcrumb-item active">Random</li>
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+            <a href="../_sources/python/random.rst.txt" rel="nofollow"> View page source</a>
+      </li>
+  </ul>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="random">
+<span id="id1"></span><h1>Random<a class="headerlink" href="#random" title="Permalink to this heading"></a></h1>
+<p>Random sampling functions in MLX use an implicit global PRNG state by default.
+However, all function take an optional <code class="docutils literal notranslate"><span class="pre">key</span></code> keyword argument for when more
+fine-grained control or explicit state management is needed.</p>
+<p>For example, you can generate random numbers with:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
+  <span class="nb">print</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">uniform</span><span class="p">())</span>
+</pre></div>
+</div>
+<p>which will print a sequence of unique pseudo random numbers. Alternatively you
+can explicitly set the key:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="n">key</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">key</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
+<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
+  <span class="nb">print</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">random</span><span class="o">.</span><span class="n">uniform</span><span class="p">(</span><span class="n">key</span><span class="o">=</span><span class="n">key</span><span class="p">))</span>
+</pre></div>
+</div>
+<p>which will yield the same pseudo random number at each iteration.</p>
+<p>Following <a class="reference external" href="https://jax.readthedocs.io/en/latest/jep/263-prng.html">JAX’s PRNG design</a>
+we use a splittable version of Threefry, which is a counter-based PRNG.</p>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.seed.html#mlx.core.random.seed" title="mlx.core.random.seed"><code class="xref py py-obj docutils literal notranslate"><span class="pre">seed</span></code></a>(seed)</p></td>
+<td><p>Seed the global PRNG.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.key.html#mlx.core.random.key" title="mlx.core.random.key"><code class="xref py py-obj docutils literal notranslate"><span class="pre">key</span></code></a>(seed)</p></td>
+<td><p>Get a PRNG key from a seed.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.split.html#mlx.core.random.split" title="mlx.core.random.split"><code class="xref py py-obj docutils literal notranslate"><span class="pre">split</span></code></a>(key[, num, stream])</p></td>
+<td><p>Split a PRNG key into sub keys.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.bernoulli.html#mlx.core.random.bernoulli" title="mlx.core.random.bernoulli"><code class="xref py py-obj docutils literal notranslate"><span class="pre">bernoulli</span></code></a>([p, shape, key, stream])</p></td>
+<td><p>Generate Bernoulli random values.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.categorical.html#mlx.core.random.categorical" title="mlx.core.random.categorical"><code class="xref py py-obj docutils literal notranslate"><span class="pre">categorical</span></code></a>(logits[, axis, shape, ...])</p></td>
+<td><p>Sample from a categorical distribution.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.gumbel.html#mlx.core.random.gumbel" title="mlx.core.random.gumbel"><code class="xref py py-obj docutils literal notranslate"><span class="pre">gumbel</span></code></a>([shape, dtype, stream, key])</p></td>
+<td><p>Sample from the standard Gumbel distribution.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.normal.html#mlx.core.random.normal" title="mlx.core.random.normal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">normal</span></code></a>([shape, dtype, key, stream])</p></td>
+<td><p>Generate normally distributed random numbers.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.randint.html#mlx.core.random.randint" title="mlx.core.random.randint"><code class="xref py py-obj docutils literal notranslate"><span class="pre">randint</span></code></a>(low, high[, shape, dtype, key, stream])</p></td>
+<td><p>Generate random integers from the given interval.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.uniform.html#mlx.core.random.uniform" title="mlx.core.random.uniform"><code class="xref py py-obj docutils literal notranslate"><span class="pre">uniform</span></code></a>([low, high, shape, dtype, key, stream])</p></td>
+<td><p>Generate uniformly distributed random numbers.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.random.truncated_normal.html#mlx.core.random.truncated_normal" title="mlx.core.random.truncated_normal"><code class="xref py py-obj docutils literal notranslate"><span class="pre">truncated_normal</span></code></a>(lower, upper[, shape, ...])</p></td>
+<td><p>Generate values from a truncated normal distribution.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="_autosummary/mlx.core.zeros_like.html" class="btn btn-neutral float-left" title="mlx.core.zeros_like" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
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+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
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+  <title>Transforms &mdash; MLX 0.0.0 documentation</title>
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+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../install.html">Build and Install</a></li>
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+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul class="current">
+<li class="toctree-l1"><a class="reference internal" href="array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="devices_and_streams.html">Devices and Streams</a></li>
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+<li class="toctree-l1"><a class="reference internal" href="random.html">Random</a></li>
+<li class="toctree-l1 current"><a class="current reference internal" href="#">Transforms</a><ul>
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+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html">mlx.core.value_and_grad</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.jvp.html">mlx.core.jvp</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.vjp.html">mlx.core.vjp</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.core.vmap.html">mlx.core.vmap</a></li>
+</ul>
+</li>
+<li class="toctree-l1"><a class="reference internal" href="fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
+</ul>
+
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+      <li><a href="../index.html" class="icon icon-home" aria-label="Home"></a></li>
+      <li class="breadcrumb-item active">Transforms</li>
+      <li class="wy-breadcrumbs-aside">
+            <a href="../_sources/python/transforms.rst.txt" rel="nofollow"> View page source</a>
+      </li>
+  </ul>
+  <hr/>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="transforms">
+<span id="id1"></span><h1>Transforms<a class="headerlink" href="#transforms" title="Permalink to this heading"></a></h1>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.eval.html#mlx.core.eval" title="mlx.core.eval"><code class="xref py py-obj docutils literal notranslate"><span class="pre">eval</span></code></a>(*args[, retain_graph])</p></td>
+<td><p>Evaluate an <a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> or tree of <a class="reference internal" href="_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.grad.html#mlx.core.grad" title="mlx.core.grad"><code class="xref py py-obj docutils literal notranslate"><span class="pre">grad</span></code></a>(fun[, argnums])</p></td>
+<td><p>Returns a function which computes the gradient of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-obj docutils literal notranslate"><span class="pre">value_and_grad</span></code></a>(fun[, argnums])</p></td>
+<td><p>Returns a function which computes the value and gradient of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.jvp.html#mlx.core.jvp" title="mlx.core.jvp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">jvp</span></code></a>(fun, primals, tangents)</p></td>
+<td><p>Compute the Jacobian-vector product.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.core.vjp.html#mlx.core.vjp" title="mlx.core.vjp"><code class="xref py py-obj docutils literal notranslate"><span class="pre">vjp</span></code></a>(fun, primals, cotangents)</p></td>
+<td><p>Compute the vector-Jacobian product.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.core.vmap.html#mlx.core.vmap" title="mlx.core.vmap"><code class="xref py py-obj docutils literal notranslate"><span class="pre">vmap</span></code></a>(fun[, in_axes, out_axes])</p></td>
+<td><p>Returns a vectorized version of <code class="docutils literal notranslate"><span class="pre">fun</span></code>.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
+
+           </div>
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+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
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diff --git a/docs/build/html/python/tree_utils.html b/docs/build/html/python/tree_utils.html
new file mode 100644
index 000000000..fe8cd09de
--- /dev/null
+++ b/docs/build/html/python/tree_utils.html
@@ -0,0 +1,169 @@
+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
+
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Tree Utils &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="../_static/pygments.css" type="text/css" />
+      <link rel="stylesheet" href="../_static/css/theme.css" type="text/css" />
+  <!--[if lt IE 9]>
+    <script src="../_static/js/html5shiv.min.js"></script>
+  <![endif]-->
+  
+        <script data-url_root="../" id="documentation_options" src="../_static/documentation_options.js"></script>
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+    <link rel="index" title="Index" href="../genindex.html" />
+    <link rel="search" title="Search" href="../search.html" />
+    <link rel="next" title="mlx.utils.tree_flatten" href="_autosummary/mlx.utils.tree_flatten.html" />
+    <link rel="prev" title="mlx.optimizers.Adam" href="_autosummary/mlx.optimizers.Adam.html" /> 
+</head>
+
+<body class="wy-body-for-nav"> 
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+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../install.html">Build and Install</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../quick_start.html">Quick Start Guide</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="../examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul class="current">
+<li class="toctree-l1"><a class="reference internal" href="array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="random.html">Random</a></li>
+<li class="toctree-l1"><a class="reference internal" href="transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="optimizers.html">Optimizers</a></li>
+<li class="toctree-l1 current"><a class="current reference internal" href="#">Tree Utils</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.utils.tree_flatten.html">mlx.utils.tree_flatten</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.utils.tree_unflatten.html">mlx.utils.tree_unflatten</a></li>
+<li class="toctree-l2"><a class="reference internal" href="_autosummary/mlx.utils.tree_map.html">mlx.utils.tree_map</a></li>
+</ul>
+</li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="../cpp/ops.html">Operations</a></li>
+</ul>
+
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+      <li class="breadcrumb-item active">Tree Utils</li>
+      <li class="wy-breadcrumbs-aside">
+            <a href="../_sources/python/tree_utils.rst.txt" rel="nofollow"> View page source</a>
+      </li>
+  </ul>
+  <hr/>
+</div>
+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="tree-utils">
+<span id="utils"></span><h1>Tree Utils<a class="headerlink" href="#tree-utils" title="Permalink to this heading"></a></h1>
+<p>In MLX we consider a python tree to be an arbitrarily nested collection of
+dictionaries, lists and tuples without cycles. Functions in this module that
+return python trees will be using the default python <code class="docutils literal notranslate"><span class="pre">dict</span></code>, <code class="docutils literal notranslate"><span class="pre">list</span></code> and
+<code class="docutils literal notranslate"><span class="pre">tuple</span></code> but they can usually process objects that inherit from any of these.</p>
+<div class="admonition note">
+<p class="admonition-title">Note</p>
+<p>Dictionaries should have keys that are valid python identifiers.</p>
+</div>
+<table class="autosummary longtable docutils align-default">
+<tbody>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.utils.tree_flatten.html#mlx.utils.tree_flatten" title="mlx.utils.tree_flatten"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tree_flatten</span></code></a>(tree[, prefix, is_leaf])</p></td>
+<td><p>Flattens a python tree to a list of key, value tuples.</p></td>
+</tr>
+<tr class="row-even"><td><p><a class="reference internal" href="_autosummary/mlx.utils.tree_unflatten.html#mlx.utils.tree_unflatten" title="mlx.utils.tree_unflatten"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tree_unflatten</span></code></a>(tree)</p></td>
+<td><p>Recreate a python tree from its flat representation.</p></td>
+</tr>
+<tr class="row-odd"><td><p><a class="reference internal" href="_autosummary/mlx.utils.tree_map.html#mlx.utils.tree_map" title="mlx.utils.tree_map"><code class="xref py py-obj docutils literal notranslate"><span class="pre">tree_map</span></code></a>(fn, tree, *rest)</p></td>
+<td><p>Applies <code class="docutils literal notranslate"><span class="pre">fn</span></code> to the leaves of the python tree <code class="docutils literal notranslate"><span class="pre">tree</span></code> and returns a new collection with the results.</p></td>
+</tr>
+</tbody>
+</table>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="_autosummary/mlx.optimizers.Adam.html" class="btn btn-neutral float-left" title="mlx.optimizers.Adam" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
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+    </div>
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+    <p>&#169; Copyright 2023, MLX Contributors.</p>
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diff --git a/docs/build/html/quick_start.html b/docs/build/html/quick_start.html
new file mode 100644
index 000000000..cf9783c45
--- /dev/null
+++ b/docs/build/html/quick_start.html
@@ -0,0 +1,224 @@
+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
+
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Quick Start Guide &mdash; MLX 0.0.0 documentation</title>
+      <link rel="stylesheet" href="_static/pygments.css" type="text/css" />
+      <link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
+  <!--[if lt IE 9]>
+    <script src="_static/js/html5shiv.min.js"></script>
+  <![endif]-->
+  
+        <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
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+    <link rel="search" title="Search" href="search.html" />
+    <link rel="next" title="Using Streams" href="using_streams.html" />
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+
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+              <p class="caption" role="heading"><span class="caption-text">Install</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="install.html">Build and Install</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul class="current">
+<li class="toctree-l1 current"><a class="current reference internal" href="#">Quick Start Guide</a><ul>
+<li class="toctree-l2"><a class="reference internal" href="#basics">Basics</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#function-and-graph-transformations">Function and Graph Transformations</a></li>
+<li class="toctree-l2"><a class="reference internal" href="#devices-and-streams">Devices and Streams</a></li>
+</ul>
+</li>
+<li class="toctree-l1"><a class="reference internal" href="using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/devices_and_streams.html">Devices and Streams</a></li>
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+<li class="toctree-l1"><a class="reference internal" href="python/random.html">Random</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/transforms.html">Transforms</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/fft.html">FFT</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/nn.html">Neural Networks</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/optimizers.html">Optimizers</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/tree_utils.html">Tree Utils</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="cpp/ops.html">Operations</a></li>
+</ul>
+
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+            <a href="_sources/quick_start.rst.txt" rel="nofollow"> View page source</a>
+      </li>
+  </ul>
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+          <div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
+           <div itemprop="articleBody">
+             
+  <section id="quick-start-guide">
+<h1>Quick Start Guide<a class="headerlink" href="#quick-start-guide" title="Permalink to this heading"></a></h1>
+<p>MLX is a NumPy-like array framework designed for efficient and flexible
+machine learning on Apple silicon. The Python API closely follows NumPy with
+a few exceptions. MLX also has a fully featured C++ API which closely follows
+the Python API.</p>
+<p>The main differences between MLX and NumPy are:</p>
+<blockquote>
+<div><ul class="simple">
+<li><p><strong>Composable function transformations</strong>: MLX has composable function
+transformations for automatic differentiation, automatic vectorization,
+and computation graph optimization.</p></li>
+<li><p><strong>Lazy computation</strong>: Computations in MLX are lazy. Arrays are only
+materialized when needed.</p></li>
+<li><p><strong>Multi-device</strong>: Operations can run on any of the suppoorted devices (CPU,
+GPU, …)</p></li>
+</ul>
+</div></blockquote>
+<p>The design of MLX is strongly inspired by frameworks like <a class="reference external" href="https://pytorch.org/">PyTorch</a>, <a class="reference external" href="https://github.com/google/jax">Jax</a>, and
+<a class="reference external" href="https://arrayfire.org/">ArrayFire</a>. A noteable difference from these
+frameworks and MLX is the <em>unified memory model</em>. Arrays in MLX live in shared
+memory. Operations on MLX arrays can be performed on any of the supported
+device types without performing data copies. Currently supported device types
+are the CPU and GPU.</p>
+<section id="basics">
+<h2>Basics<a class="headerlink" href="#basics" title="Permalink to this heading"></a></h2>
+<p>Import <code class="docutils literal notranslate"><span class="pre">mlx.core</span></code> and make an <a class="reference internal" href="python/_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a>:</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="o">&gt;&gt;</span> <span class="kn">import</span> <span class="nn">mlx.core</span> <span class="k">as</span> <span class="nn">mx</span>
+<span class="o">&gt;&gt;</span> <span class="n">a</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">])</span>
+<span class="o">&gt;&gt;</span> <span class="n">a</span><span class="o">.</span><span class="n">shape</span>
+<span class="p">[</span><span class="mi">4</span><span class="p">]</span>
+<span class="o">&gt;&gt;</span> <span class="n">a</span><span class="o">.</span><span class="n">dtype</span>
+<span class="n">int32</span>
+<span class="o">&gt;&gt;</span> <span class="n">b</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">])</span>
+<span class="o">&gt;&gt;</span> <span class="n">b</span><span class="o">.</span><span class="n">dtype</span>
+<span class="n">float32</span>
+</pre></div>
+</div>
+<p>Operations in MLX are lazy. The outputs of MLX operations are not computed
+until they are needed. To force an array to be evaluated use
+<a class="reference internal" href="python/_autosummary/mlx.core.eval.html#mlx.core.eval" title="mlx.core.eval"><code class="xref py py-func docutils literal notranslate"><span class="pre">eval()</span></code></a>.  Arrays will automatically be evaluated in a few cases. For
+example, inspecting a scalar with <a class="reference internal" href="python/_autosummary/mlx.core.array.item.html#mlx.core.array.item" title="mlx.core.array.item"><code class="xref py py-meth docutils literal notranslate"><span class="pre">array.item()</span></code></a>, printing an array,
+or converting an array from <a class="reference internal" href="python/_autosummary/mlx.core.array.html#mlx.core.array" title="mlx.core.array"><code class="xref py py-class docutils literal notranslate"><span class="pre">array</span></code></a> to <a class="reference external" href="https://numpy.org/doc/stable/reference/generated/numpy.ndarray.html#numpy.ndarray" title="(in NumPy v1.26)"><code class="xref py py-class docutils literal notranslate"><span class="pre">numpy.ndarray</span></code></a> all
+automatically evaluate the array.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="o">&gt;&gt;</span> <span class="n">c</span> <span class="o">=</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span>    <span class="c1"># c not yet evaluated</span>
+<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">eval</span><span class="p">(</span><span class="n">c</span><span class="p">)</span>  <span class="c1"># evaluates c</span>
+<span class="o">&gt;&gt;</span> <span class="n">c</span> <span class="o">=</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span>
+<span class="o">&gt;&gt;</span> <span class="nb">print</span><span class="p">(</span><span class="n">c</span><span class="p">)</span>     <span class="c1"># Also evaluates c</span>
+<span class="n">array</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">8</span><span class="p">],</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
+<span class="o">&gt;&gt;</span> <span class="n">c</span> <span class="o">=</span> <span class="n">a</span> <span class="o">+</span> <span class="n">b</span>
+<span class="o">&gt;&gt;</span> <span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+<span class="o">&gt;&gt;</span> <span class="n">np</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="n">c</span><span class="p">)</span>   <span class="c1"># Also evaluates c</span>
+<span class="n">array</span><span class="p">([</span><span class="mf">2.</span><span class="p">,</span> <span class="mf">4.</span><span class="p">,</span> <span class="mf">6.</span><span class="p">,</span> <span class="mf">8.</span><span class="p">],</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
+</pre></div>
+</div>
+</section>
+<section id="function-and-graph-transformations">
+<h2>Function and Graph Transformations<a class="headerlink" href="#function-and-graph-transformations" title="Permalink to this heading"></a></h2>
+<p>MLX has standard function transformations like <a class="reference internal" href="python/_autosummary/mlx.core.grad.html#mlx.core.grad" title="mlx.core.grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">grad()</span></code></a> and <a class="reference internal" href="python/_autosummary/mlx.core.vmap.html#mlx.core.vmap" title="mlx.core.vmap"><code class="xref py py-func docutils literal notranslate"><span class="pre">vmap()</span></code></a>.
+Transformations can be composed arbitrarily. For example
+<code class="docutils literal notranslate"><span class="pre">grad(vmap(grad(fn)))</span></code> (or any other composition) is allowed.</p>
+<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="o">&gt;&gt;</span> <span class="n">x</span> <span class="o">=</span> <span class="n">mx</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="mf">0.0</span><span class="p">)</span>
+<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+<span class="n">array</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
+<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">sin</span><span class="p">)(</span><span class="n">x</span><span class="p">)</span>
+<span class="n">array</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
+<span class="o">&gt;&gt;</span> <span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">grad</span><span class="p">(</span><span class="n">mx</span><span class="o">.</span><span class="n">sin</span><span class="p">))(</span><span class="n">x</span><span class="p">)</span>
+<span class="n">array</span><span class="p">(</span><span class="o">-</span><span class="mi">0</span><span class="p">,</span> <span class="n">dtype</span><span class="o">=</span><span class="n">float32</span><span class="p">)</span>
+</pre></div>
+</div>
+<p>Other gradient transformations include <a class="reference internal" href="python/_autosummary/mlx.core.vjp.html#mlx.core.vjp" title="mlx.core.vjp"><code class="xref py py-func docutils literal notranslate"><span class="pre">vjp()</span></code></a> for vector-Jacobian products
+and <a class="reference internal" href="python/_autosummary/mlx.core.jvp.html#mlx.core.jvp" title="mlx.core.jvp"><code class="xref py py-func docutils literal notranslate"><span class="pre">jvp()</span></code></a> for Jacobian-vector products.</p>
+<p>Use <a class="reference internal" href="python/_autosummary/mlx.core.value_and_grad.html#mlx.core.value_and_grad" title="mlx.core.value_and_grad"><code class="xref py py-func docutils literal notranslate"><span class="pre">value_and_grad()</span></code></a> to efficiently compute both a function’s output and
+gradient with respect to the function’s input.</p>
+</section>
+<section id="devices-and-streams">
+<h2>Devices and Streams<a class="headerlink" href="#devices-and-streams" title="Permalink to this heading"></a></h2>
+</section>
+</section>
+
+
+           </div>
+          </div>
+          <footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
+        <a href="install.html" class="btn btn-neutral float-left" title="Build and Install" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
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new file mode 100644
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+++ b/docs/build/html/search.html
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+<!DOCTYPE html>
+<html class="writer-html5" lang="en" >
+<head>
+  <meta charset="utf-8" />
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <title>Search &mdash; MLX 0.0.0 documentation</title>
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+<p class="caption" role="heading"><span class="caption-text">Usage</span></p>
+<ul>
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+<li class="toctree-l1"><a class="reference internal" href="using_streams.html">Using Streams</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="examples/linear_regression.html">Linear Regression</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/mlp.html">Multi-Layer Perceptron</a></li>
+<li class="toctree-l1"><a class="reference internal" href="examples/llama-inference.html">LLM inference</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Further Reading</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="dev/extensions.html">Developer Documentation</a></li>
+</ul>
+<p class="caption" role="heading"><span class="caption-text">Python API Reference</span></p>
+<ul>
+<li class="toctree-l1"><a class="reference internal" href="python/array.html">Array</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/devices_and_streams.html">Devices and Streams</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/ops.html">Operations</a></li>
+<li class="toctree-l1"><a class="reference internal" href="python/random.html">Random</a></li>
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+</ul>
+<p class="caption" role="heading"><span class="caption-text">C++ API Reference</span></p>
+<ul>
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diff --git a/docs/build/html/searchindex.js b/docs/build/html/searchindex.js
new file mode 100644
index 000000000..170edaa63
--- /dev/null
+++ b/docs/build/html/searchindex.js
@@ -0,0 +1 @@
+Search.setIndex({"docnames": ["cpp/ops", "dev/extensions", "examples/linear_regression", "examples/llama-inference", "examples/mlp", "index", "install", "python/_autosummary/mlx.core.Device", "python/_autosummary/mlx.core.Dtype", "python/_autosummary/mlx.core.Stream", "python/_autosummary/mlx.core.abs", "python/_autosummary/mlx.core.add", "python/_autosummary/mlx.core.all", "python/_autosummary/mlx.core.allclose", "python/_autosummary/mlx.core.any", "python/_autosummary/mlx.core.arange", "python/_autosummary/mlx.core.arccos", "python/_autosummary/mlx.core.arccosh", "python/_autosummary/mlx.core.arcsin", "python/_autosummary/mlx.core.arcsinh", "python/_autosummary/mlx.core.arctan", "python/_autosummary/mlx.core.arctanh", "python/_autosummary/mlx.core.argmax", "python/_autosummary/mlx.core.argmin", "python/_autosummary/mlx.core.argpartition", "python/_autosummary/mlx.core.argsort", "python/_autosummary/mlx.core.array", "python/_autosummary/mlx.core.array.T", 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+  <section id="using-streams">
+<h1>Using Streams<a class="headerlink" href="#using-streams" title="Permalink to this heading"></a></h1>
+<section id="specifying-the-stream">
+<h2>Specifying the <a class="reference internal" href="python/_autosummary/mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Stream</span></code></a><a class="headerlink" href="#specifying-the-stream" title="Permalink to this heading"></a></h2>
+<p>All operations (including random number generation) take an optional
+keyword argument <code class="docutils literal notranslate"><span class="pre">stream</span></code>. The <code class="docutils literal notranslate"><span class="pre">stream</span></code> kwarg specifies which
+<a class="reference internal" href="python/_autosummary/mlx.core.Stream.html#mlx.core.Stream" title="mlx.core.Stream"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Stream</span></code></a> the operation should run on. If the stream is unspecified then
+the operation is run on the default stream of the default device:
+<code class="docutils literal notranslate"><span class="pre">mx.default_stream(mx.default_device())</span></code>.  The <code class="docutils literal notranslate"><span class="pre">stream</span></code> kwarg can also
+be a <a class="reference internal" href="python/_autosummary/mlx.core.Device.html#mlx.core.Device" title="mlx.core.Device"><code class="xref py py-obj docutils literal notranslate"><span class="pre">Device</span></code></a> (e.g. <code class="docutils literal notranslate"><span class="pre">stream=my_device</span></code>) in which case the operation is
+run on the default stream of the provided device
+<code class="docutils literal notranslate"><span class="pre">mx.default_stream(my_device)</span></code>.</p>
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