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352, 369, 422, 452, 454], "assign": [0, 1, 37, 420], "henc": [0, 1, 217, 447], "If": [0, 1, 4, 7, 14, 15, 16, 17, 25, 26, 27, 28, 76, 80, 81, 91, 93, 99, 102, 103, 104, 105, 111, 112, 115, 116, 117, 127, 132, 134, 145, 146, 147, 150, 151, 154, 160, 170, 172, 176, 185, 186, 187, 189, 190, 198, 199, 202, 206, 210, 213, 214, 216, 221, 225, 234, 250, 251, 252, 257, 261, 263, 264, 265, 268, 270, 271, 276, 277, 280, 282, 284, 288, 290, 305, 306, 307, 308, 316, 322, 324, 333, 335, 345, 351, 353, 356, 358, 360, 369, 389, 391, 402, 424, 447, 448, 449, 451, 454, 455, 456], "provid": [0, 1, 4, 81, 110, 154, 268, 276, 288, 290, 296, 301, 328, 333, 335, 345, 346, 347, 350, 351, 368, 369, 416, 420, 448, 454, 456], "rank": [0, 398, 448], "must": [0, 1, 2, 7, 88, 91, 151, 153, 172, 220, 221, 225, 227, 230, 231, 281, 369, 452], "In": [0, 1, 4, 5, 37, 186, 217, 288, 301, 310, 316, 420, 423, 425, 426, 428, 429, 430, 446, 447, 448, 449, 451, 454, 455], "other": [0, 1, 4, 6, 165, 172, 301, 334, 420, 429, 447, 448, 450, 451, 453], "word": 0, "ndim": [0, 1, 148, 172, 174, 369], "lead": [0, 17, 81, 447], "remain": [0, 4, 276, 289, 309, 310, 311, 448], "For": [0, 1, 4, 7, 37, 135, 152, 165, 172, 217, 291, 301, 305, 310, 328, 333, 342, 345, 351, 356, 360, 369, 371, 372, 373, 374, 389, 417, 422, 444, 447, 448, 449, 450, 451, 452, 453, 454, 455], "exampl": [0, 2, 3, 4, 5, 7, 17, 37, 106, 148, 172, 173, 259, 264, 286, 289, 290, 301, 303, 304, 305, 320, 325, 326, 333, 335, 342, 345, 369, 370, 371, 372, 373, 374, 375, 376, 377, 389, 391, 398, 417, 422, 431, 436, 437, 438, 439, 440, 444, 449, 450, 451, 452, 453, 454], "auto": [0, 1, 7], "4": [0, 1, 4, 110, 148, 153, 172, 217, 218, 242, 284, 290, 294, 303, 304, 305, 320, 325, 326, 350, 351, 368, 369, 371, 372, 373, 389, 447, 448, 450, 453, 455], "3": [0, 1, 4, 7, 148, 165, 172, 173, 286, 290, 308, 313, 369, 372, 374, 380, 385, 424, 429, 444, 447, 450, 452, 453], "out": [0, 1, 7, 88, 303, 304, 310, 311, 325, 326, 342, 447, 448, 449, 450], "produc": [0, 1, 7, 92, 348, 417], "thi": [0, 1, 4, 5, 7, 14, 15, 16, 17, 25, 26, 27, 28, 81, 106, 123, 152, 153, 157, 160, 166, 170, 171, 172, 173, 174, 181, 185, 186, 187, 189, 191, 193, 202, 214, 216, 221, 245, 250, 251, 252, 257, 261, 264, 270, 277, 286, 289, 290, 301, 309, 310, 311, 314, 315, 321, 329, 330, 332, 333, 336, 337, 338, 343, 345, 346, 347, 348, 351, 353, 366, 371, 372, 373, 374, 380, 381, 382, 389, 397, 414, 420, 431, 446, 447, 448, 449, 451, 452, 454], "row": [0, 1, 81, 131, 158, 217, 273], "posit": [0, 4, 27, 112, 134, 148, 154, 164, 170, 204, 206, 214, 225, 271, 276, 288, 301, 306, 307, 308, 348, 356, 360, 392, 402], "ad": [0, 1, 3, 7, 132, 320, 420, 423, 424, 425, 426, 427, 428, 434, 448, 451, 454], "we": [0, 1, 3, 4, 5, 110, 153, 217, 218, 301, 312, 350, 358, 427, 429, 444, 446, 447, 448, 449, 451, 455], "also": [0, 1, 4, 5, 6, 7, 10, 12, 85, 86, 87, 113, 119, 120, 124, 138, 141, 144, 147, 155, 156, 167, 168, 169, 181, 188, 203, 205, 209, 215, 217, 233, 236, 260, 284, 285, 296, 301, 332, 346, 348, 350, 351, 359, 379, 407, 409, 416, 422, 447, 448, 449, 450, 451, 452, 453, 456], "To": [0, 1, 2, 3, 4, 5, 7, 198, 301, 417, 422, 447, 448, 449, 453], "control": [0, 323, 444, 451], "addit": [0, 1, 4, 7, 12, 13, 132, 133, 135, 176, 305, 316, 322, 348, 352, 420, 449], "item": [0, 1, 3, 4, 5, 288, 422, 451, 452, 453], "togeth": [0, 1, 5, 217, 288, 289, 448], "doe": [0, 1, 2, 4, 7, 193, 278, 286, 301, 447, 450, 451, 452], "perform": [0, 1, 2, 4, 6, 13, 88, 98, 102, 103, 104, 105, 121, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 152, 153, 157, 186, 218, 237, 250, 264, 301, 316, 368, 373, 374, 422, 447, 448, 450, 451, 455], "bound": [0, 227, 230, 231, 313, 377, 447, 450, 455], "check": [0, 1, 7, 80, 118, 165, 196, 335, 449, 450], "access": [0, 4, 49, 301, 420, 431, 448, 451, 455], "undefin": [0, 27, 106, 170, 214, 225, 450], "typic": [0, 135, 312, 422, 447, 451], "result": [0, 4, 13, 17, 37, 76, 81, 92, 132, 133, 153, 172, 186, 218, 225, 234, 256, 288, 289, 290, 360, 389, 447, 449, 452], "unintend": 0, "invalid": [0, 81], "memori": [0, 1, 6, 81, 191, 193, 194, 195, 197, 198, 199, 368, 420, 424, 447, 451, 452], "write": [0, 1, 4, 301, 452], "scatter_add": 0, "scatter_prod": 0, "scatter_max": 0, "linear": [0, 1, 4, 5, 6, 284, 288, 301, 313, 314, 323, 335, 351, 353, 354, 355, 357, 359, 369, 378, 379, 380, 381, 382, 386, 405, 406, 407, 409, 417, 420, 431, 439, 447], "scatter_min": 0, "sqrt": [0, 4, 125, 135, 157, 305, 313, 316, 320, 322, 324, 352, 360, 371, 372, 373, 374, 380, 423, 425, 426, 427, 434, 447], "root": [0, 4, 133, 238, 253, 352], "rsqrt": 0, "softmax": [0, 4, 135, 301, 388, 391], "precis": [0, 1, 4, 130, 135, 301, 313, 352, 389, 430, 447], "power": [0, 449, 452], "rais": [0, 4, 172, 199, 215, 252, 335], "cumsum": 0, "inclus": [0, 40, 41, 42, 43, 102, 103, 104, 105, 148], "cumul": [0, 81, 102, 103, 104, 105], "cumprod": 0, "cummax": 0, "cummin": 0, "conv_gener": 0, "weight": [0, 3, 96, 97, 98, 132, 133, 288, 301, 335, 339, 350, 351, 389, 391, 420, 424, 427, 429, 431, 435, 449, 451], "padding_lo": 0, "padding_hi": 0, "kernel_dil": [0, 98], "input_dil": [0, 98], "group": [0, 96, 97, 98, 110, 115, 116, 117, 135, 153, 217, 218, 278, 284, 316, 350, 351, 448], "flip": [0, 98, 99], "gener": [0, 1, 2, 3, 10, 17, 98, 131, 143, 144, 175, 190, 220, 225, 226, 227, 230, 231, 368, 444, 447, 450, 451, 456], "convolut": [0, 96, 97, 98, 99, 306, 307, 308, 310, 311], "filter": [0, 99, 306, 307, 308, 328, 332], "conv1d": [0, 301], "dilat": [0, 96, 97, 98, 306, 307], "conv2d": [0, 301], "2d": [0, 97, 112, 217, 305, 310], "conv3d": [0, 301], "tupl": [0, 29, 64, 67, 77, 93, 97, 98, 120, 122, 127, 129, 166, 172, 173, 174, 213, 217, 235, 255, 276, 279, 287, 288, 289, 290, 291, 303, 304, 307, 308, 325, 326, 335, 337, 358, 369, 424, 426, 427, 428, 429, 446, 449], "3d": [0, 1, 305, 311, 369], "quantized_matmul": 0, "w": [0, 3, 97, 110, 153, 217, 218, 276, 289, 304, 305, 307, 308, 310, 311, 324, 326, 422, 435, 449], "bias": [0, 110, 153, 217, 218, 315, 321, 333, 345, 348], "group_siz": [0, 110, 153, 217, 218, 284, 350, 351], "64": [0, 88, 110, 153, 217, 218, 284, 294, 350, 351], "bit": [0, 110, 153, 167, 217, 218, 236, 284, 294, 328, 350, 351, 352], "quantiz": [0, 110, 153, 176, 218, 350, 351], "its": [0, 1, 7, 186, 214, 229, 273, 285, 291, 301, 351, 422, 426, 427, 428, 448, 452, 455], "last": [0, 4, 28, 76, 132, 133, 138, 141, 143, 144, 146, 147, 148, 152, 153, 159, 170, 171, 173, 174, 186, 195, 221, 251, 268, 278, 306, 307, 308, 310, 311, 316, 369, 452], "dequant": [0, 217], "gather_qmm": 0, "lhs_indic": [0, 152, 153], "rhs_indic": [0, 152, 153], "level": [0, 152, 153, 373, 374], "tensordot": 0, "contract": [0, 122], "over": [0, 1, 4, 5, 14, 16, 25, 26, 27, 28, 96, 97, 98, 102, 103, 104, 105, 138, 141, 144, 147, 159, 172, 174, 175, 185, 187, 189, 202, 214, 216, 238, 250, 251, 257, 261, 268, 270, 277, 305, 306, 307, 308, 316, 322, 352, 391, 436, 439, 448, 449], "axes_a": 0, "axes_b": 0, "outer": [0, 447, 451], "inner": [0, 447], "addmm": 0, "c": [0, 1, 4, 13, 172, 303, 304, 305, 306, 307, 308, 310, 311, 320, 321, 325, 326, 452, 453, 455], "alpha": [0, 1, 13, 217, 378, 402, 404, 407, 427, 434], "f": [0, 1, 3, 5, 106, 172, 301, 321, 427, 447, 452], "beta": [0, 1, 13, 110, 217, 305, 316, 320, 322, 401, 422, 426, 427, 428, 429], "block_masked_mm": 0, "block_siz": [0, 88], "mask_out": [0, 88], "mask_lh": [0, 88], "mask_rh": [0, 88], "block": [0, 1, 4, 88, 368], "mask": [0, 4, 88, 135, 342, 348, 450], "gather_mm": [0, 153], "extract": [0, 4, 44, 111, 112, 301, 332, 420, 448], "construct": [0, 1, 5, 44, 111, 151, 210, 269, 282], "diag": [0, 174], "trace": [0, 2, 447], "implement": [0, 3, 5, 134, 135, 172, 312, 332, 348, 356, 358, 360, 366, 368, 369, 414, 423, 424, 425, 426, 428, 429, 430, 442, 447, 449], "allow": [0, 1, 165, 286, 301, 347, 420, 442, 448, 450, 453], "inject": 0, "ensur": [0, 1, 7, 286, 397, 448], "been": [0, 1, 4, 194, 451], "when": [0, 1, 4, 6, 7, 92, 98, 106, 170, 171, 172, 174, 176, 306, 307, 308, 369, 373, 374, 389, 395, 401, 420, 422, 438, 444, 447, 448, 455], "atleast_1d": 0, "atleast": 0, "atleast_2d": 0, "atleast_3d": 0, "number_of_el": 0, "invert": 0, "int32": [0, 10, 17, 37, 148, 165, 172, 227, 294, 369, 450, 453], "some": [0, 1, 3, 4, 5, 333, 345, 422, 431, 447, 449, 451], "scalar": [0, 1, 12, 13, 15, 29, 49, 76, 80, 85, 86, 87, 88, 89, 91, 119, 120, 124, 150, 151, 154, 155, 156, 157, 160, 167, 168, 169, 172, 175, 181, 182, 183, 184, 186, 188, 203, 205, 206, 209, 213, 215, 220, 227, 230, 231, 233, 236, 240, 260, 276, 278, 281, 285, 402, 449, 451, 453], "us": [0, 2, 3, 4, 5, 6, 7, 17, 37, 81, 106, 110, 113, 115, 116, 120, 134, 148, 153, 167, 170, 171, 172, 173, 174, 186, 193, 194, 195, 198, 217, 218, 234, 235, 236, 263, 287, 290, 294, 296, 301, 304, 310, 312, 313, 315, 321, 324, 326, 328, 332, 339, 346, 348, 350, 351, 353, 356, 360, 368, 369, 373, 374, 380, 381, 390, 417, 420, 422, 423, 424, 426, 427, 428, 429, 430, 431, 444, 446, 447, 448, 449, 450, 453, 455], "shapeless": [0, 92], "compil": [0, 2, 6, 7, 113, 123, 448, 449, 451], "pun": 0, "intend": [0, 447], "conjug": [0, 94], "bitwise_and": 0, "bitwis": [0, 85, 86, 87, 167, 236], "bitwise_or": 0, "bitwise_xor": 0, "exclus": [0, 81, 87], "left_shift": 0, "shift": [0, 167, 236, 305], "left": [0, 4, 134, 167, 172, 217, 303, 304, 313, 325, 326, 356, 369, 380, 381, 392, 394, 402], "right_shift": 0, "right": [0, 1, 7, 217, 236, 303, 304, 313, 325, 326, 369, 380, 381, 392, 394, 402], "you": [1, 2, 4, 5, 6, 7, 301, 360, 368, 417, 444, 447, 448, 449, 450, 452, 454, 455], "can": [1, 2, 4, 6, 7, 12, 17, 64, 77, 81, 85, 86, 87, 92, 112, 113, 114, 119, 120, 124, 127, 155, 156, 167, 168, 169, 172, 181, 188, 203, 205, 209, 215, 220, 221, 227, 230, 231, 233, 236, 240, 260, 271, 276, 290, 301, 304, 312, 326, 332, 345, 350, 358, 369, 391, 417, 420, 422, 430, 431, 444, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456], "extend": [1, 213], "guid": [1, 6], "explain": 1, "how": [1, 4, 5, 301, 303, 304, 306, 307, 308, 312, 325, 326, 350, 369, 430, 447, 450, 455], "simpl": [1, 4, 5, 301, 312, 416, 422, 447, 448, 449, 451], "let": [1, 3, 4, 447, 449, 451, 452], "sai": [1, 4, 417, 451], "would": [1, 4, 369, 448, 450, 451, 452, 455], "like": [1, 4, 6, 165, 211, 283, 311, 397, 431, 433, 447, 448, 449, 451, 452, 453, 455], "them": [1, 4, 115, 301, 333, 345, 448, 455], "both": [1, 12, 85, 86, 87, 119, 120, 124, 155, 156, 165, 167, 168, 169, 172, 181, 188, 203, 205, 209, 215, 221, 233, 236, 260, 284, 303, 304, 320, 321, 325, 326, 422, 447, 448, 449, 453, 455], "coeffici": [1, 423, 424, 426, 427, 428, 429], "respect": [1, 3, 5, 132, 133, 152, 153, 154, 217, 276, 288, 301, 305, 313, 316, 320, 322, 420, 449, 453], "get": [1, 3, 5, 7, 97, 98, 107, 108, 192, 193, 194, 195, 223, 301, 447, 449, 451, 455], "z": [1, 315, 447, 451], "directli": [1, 4, 81], "import": [1, 2, 3, 4, 5, 7, 106, 157, 172, 242, 276, 287, 288, 289, 290, 291, 301, 303, 304, 305, 320, 325, 326, 335, 369, 389, 391, 398, 417, 420, 422, 447, 448, 449, 450, 451, 452, 453], "core": [1, 2, 3, 4, 5, 284, 301, 303, 304, 305, 320, 325, 326, 335, 338, 340, 343, 369, 370, 371, 372, 373, 374, 375, 376, 377, 389, 391, 398, 417, 420, 422, 447, 448, 452, 453], "mx": [1, 2, 3, 4, 5, 37, 94, 95, 106, 117, 148, 165, 172, 173, 176, 242, 276, 286, 301, 303, 304, 305, 320, 323, 325, 326, 328, 335, 339, 354, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 386, 389, 390, 391, 395, 398, 405, 415, 417, 420, 422, 444, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456], "def": [1, 3, 4, 5, 106, 276, 301, 420, 447, 448, 449, 450, 451, 452, 455], "simple_axpbi": 1, "while": [1, 2, 4, 7, 235, 356, 451, 452], "leav": [1, 127, 288, 289, 290], "howev": [1, 106, 301, 313, 316, 431, 444, 447, 448, 451, 452], "mai": [1, 172, 284, 310, 448, 449, 450], "need": [1, 4, 5, 6, 7, 80, 217, 301, 346, 347, 360, 368, 444, 448, 449, 451, 452, 453, 455], "underli": [1, 278], "perhap": [1, 4], "make": [1, 2, 4, 5, 7, 186, 208, 245, 301, 436, 437, 439, 440, 447, 451, 453, 455], "faster": [1, 120, 379, 389, 447, 449], "differenti": [1, 6], "tutori": 1, "go": [1, 4, 449], "through": [1, 258, 368, 429, 447, 449, 452], "It": [1, 4, 7, 154, 245, 276, 286, 290, 301, 347, 351, 430, 442, 452, 454], "cover": 1, "structur": [1, 430, 449], "librari": [1, 7, 296, 301], "redirect": 1, "acceler": [1, 305], "appropri": [1, 447], "metal": [1, 6], "vjp": [1, 106, 453], "jvp": [1, 106, 453], "graph": [1, 4, 5, 6, 449], "rule": [1, 422], "evalu": [1, 4, 5, 6, 127, 166, 279, 301, 331, 342, 420, 422, 447, 453], "discuss": 1, "more": [1, 2, 5, 9, 76, 112, 152, 170, 171, 174, 186, 198, 199, 240, 241, 294, 301, 305, 310, 356, 360, 368, 369, 371, 372, 373, 374, 389, 444, 447, 448, 449, 450, 453, 455], "detail": [1, 9, 198, 301, 310, 356, 360, 369, 371, 372, 373, 374, 423, 425, 426, 428, 429, 450, 453], "front": 1, "thei": [1, 3, 4, 7, 15, 99, 153, 160, 358, 393, 420, 429, 446, 447, 448, 451, 453, 454, 455], "defin": [1, 3, 4, 5, 7, 106, 153, 172, 218, 284, 287, 452], "api": [1, 448, 449], "axpbi": 1, "follow": [1, 4, 5, 6, 7, 17, 99, 110, 152, 172, 217, 289, 301, 380, 381, 395, 423, 424, 425, 426, 427, 428, 429, 435, 444, 447, 448, 449, 455], "numpi": [1, 4, 5, 6, 12, 15, 17, 85, 86, 87, 89, 119, 120, 124, 155, 156, 160, 167, 168, 169, 181, 186, 188, 203, 205, 209, 215, 233, 236, 260, 451, 453, 454], "style": [1, 12, 15, 85, 86, 87, 119, 120, 124, 155, 156, 160, 167, 168, 169, 181, 186, 188, 203, 205, 209, 215, 233, 236, 260], "upcast": 1, "factor": [1, 13, 157, 170, 173, 369, 391, 437, 440], "stream": [1, 6, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 51, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 68, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 108, 109, 110, 111, 112, 119, 120, 121, 124, 125, 126, 128, 129, 130, 131, 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