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286, 290, 303, 315, 316, 325, 337, 353, 355, 356, 357, 359, 361, 371, 380, 381, 382, 383, 384, 388, 407, 408, 409, 411, 419, 422, 433, 441, 449], "scatter_min": 0, "sqrt": [0, 4, 125, 135, 157, 307, 315, 318, 322, 324, 326, 354, 362, 373, 374, 375, 376, 382, 425, 427, 428, 429, 436, 449], "root": [0, 4, 133, 240, 255, 354], "rsqrt": 0, "softmax": [0, 4, 135, 303, 390, 393], "precis": [0, 1, 4, 130, 135, 303, 315, 354, 391, 432, 449], "power": [0, 451, 454], "rais": [0, 4, 173, 201, 217, 254, 337], "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, 290, 303, 337, 341, 352, 353, 391, 393, 422, 426, 429, 431, 433, 437, 451, 453], "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, 219, 220, 280, 286, 318, 352, 353, 450], "flip": [0, 98, 99], "gener": [0, 1, 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"its": [0, 1, 7, 171, 188, 216, 231, 275, 287, 293, 303, 353, 424, 428, 429, 430, 450, 454, 457], "last": [0, 4, 28, 76, 132, 133, 138, 141, 143, 144, 146, 147, 148, 152, 153, 159, 170, 171, 172, 174, 175, 176, 188, 197, 223, 253, 270, 280, 308, 309, 310, 312, 313, 318, 371, 454], "dequant": [0, 219], "gather_qmm": 0, "lhs_indic": [0, 152, 153], "rhs_indic": [0, 152, 153], "level": [0, 152, 153, 375, 376], "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, 173, 175, 177, 187, 189, 191, 204, 216, 218, 240, 252, 253, 259, 263, 270, 272, 279, 307, 308, 309, 310, 318, 324, 354, 393, 438, 441, 450, 451], "axes_a": 0, "axes_b": 0, "outer": [0, 449, 453], "inner": [0, 449], "addmm": 0, "c": [0, 1, 4, 13, 173, 305, 306, 307, 308, 309, 310, 312, 313, 322, 323, 327, 328, 454, 455, 457], "alpha": [0, 1, 13, 219, 380, 404, 406, 409, 429, 436], "f": [0, 1, 3, 5, 106, 173, 303, 323, 429, 449, 454], "beta": [0, 1, 13, 110, 219, 307, 318, 322, 324, 403, 424, 428, 429, 430, 431], "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, 370], "mask": [0, 4, 88, 135, 344, 350, 452], "gather_mm": [0, 153], "extract": [0, 4, 44, 111, 112, 303, 334, 422, 450], "construct": [0, 1, 5, 44, 111, 151, 212, 271, 284], "diag": [0, 175], "trace": [0, 2, 449], "implement": [0, 3, 5, 134, 135, 173, 314, 334, 350, 358, 360, 362, 368, 370, 371, 416, 425, 426, 427, 428, 430, 431, 432, 444, 449, 451], "allow": [0, 1, 165, 288, 303, 349, 422, 444, 450, 452, 455], "inject": 0, "ensur": [0, 1, 7, 288, 399, 450], "been": [0, 1, 4, 196, 453], "when": [0, 1, 4, 6, 7, 92, 98, 106, 170, 171, 172, 173, 175, 176, 178, 308, 309, 310, 371, 375, 376, 391, 397, 403, 422, 424, 440, 446, 449, 450, 457], "atleast_1d": 0, "atleast": 0, "atleast_2d": 0, "atleast_3d": 0, "number_of_el": 0, "invert": 0, "int32": [0, 10, 17, 37, 148, 165, 173, 229, 296, 371, 452, 455], "some": [0, 1, 3, 4, 5, 335, 347, 424, 433, 449, 451, 453], "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, 173, 177, 183, 184, 185, 186, 188, 190, 205, 207, 208, 211, 215, 217, 222, 229, 232, 233, 235, 238, 242, 262, 278, 280, 283, 287, 404, 451, 453, 455], "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, 175, 176, 188, 195, 196, 197, 200, 219, 220, 236, 237, 238, 265, 289, 292, 296, 298, 303, 306, 312, 314, 315, 317, 323, 326, 328, 330, 334, 341, 348, 350, 352, 353, 355, 358, 362, 370, 371, 375, 376, 382, 383, 392, 419, 422, 424, 425, 426, 428, 429, 430, 431, 432, 433, 446, 448, 449, 450, 451, 452, 455, 457], "shapeless": [0, 92], "compil": [0, 2, 6, 7, 113, 123, 450, 451, 453], "pun": 0, "intend": [0, 449], "conjug": [0, 94], "bitwise_and": 0, "bitwis": [0, 85, 86, 87, 167, 238], "bitwise_or": 0, "bitwise_xor": 0, "exclus": [0, 81, 87], "left_shift": 0, "shift": [0, 167, 238, 307], "left": [0, 4, 134, 167, 173, 219, 305, 306, 315, 327, 328, 358, 371, 382, 383, 394, 396, 404], "right_shift": 0, "right": [0, 1, 7, 219, 238, 305, 306, 315, 327, 328, 371, 382, 383, 394, 396, 404], "you": [1, 2, 4, 5, 6, 7, 303, 362, 370, 419, 446, 449, 450, 451, 452, 454, 456, 457], "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, 173, 183, 190, 205, 207, 211, 217, 222, 223, 229, 232, 233, 235, 238, 242, 262, 273, 278, 292, 303, 306, 314, 315, 328, 334, 347, 352, 360, 371, 393, 419, 422, 424, 432, 433, 446, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458], "extend": [1, 215], "guid": [1, 6], "explain": 1, "how": [1, 4, 5, 303, 305, 306, 308, 309, 310, 314, 327, 328, 352, 371, 432, 449, 452, 457], "simpl": [1, 4, 5, 303, 314, 418, 424, 449, 450, 451, 453], "let": [1, 3, 4, 171, 449, 451, 453, 454], "sai": [1, 4, 419, 453], "would": [1, 4, 371, 450, 452, 453, 454, 457], "like": [1, 4, 6, 165, 213, 285, 313, 399, 433, 435, 449, 450, 451, 453, 454, 455, 457], "them": [1, 4, 115, 303, 335, 347, 450, 457], "both": [1, 12, 85, 86, 87, 119, 120, 124, 155, 156, 165, 167, 168, 169, 173, 183, 190, 205, 207, 211, 217, 223, 235, 238, 262, 286, 305, 306, 322, 323, 327, 328, 424, 449, 450, 451, 455, 457], "coeffici": [1, 425, 426, 428, 429, 430, 431], "respect": [1, 3, 5, 132, 133, 152, 153, 154, 219, 278, 290, 303, 307, 315, 318, 322, 324, 422, 451, 455], "get": [1, 3, 5, 7, 97, 98, 107, 108, 194, 195, 196, 197, 225, 303, 449, 451, 453, 457], "z": [1, 317, 449, 453], "directli": [1, 4, 81], "import": [1, 2, 3, 4, 5, 7, 106, 157, 173, 244, 278, 289, 290, 291, 292, 293, 303, 305, 306, 307, 322, 327, 328, 337, 371, 391, 393, 400, 419, 422, 424, 449, 450, 451, 452, 453, 454, 455], "core": [1, 2, 3, 4, 5, 286, 303, 305, 306, 307, 322, 327, 328, 337, 340, 342, 345, 371, 372, 373, 374, 375, 376, 377, 378, 379, 391, 393, 400, 419, 422, 424, 449, 450, 454, 455], "mx": [1, 2, 3, 4, 5, 37, 94, 95, 106, 117, 148, 165, 173, 174, 178, 244, 278, 288, 303, 305, 306, 307, 322, 325, 327, 328, 330, 337, 341, 356, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 388, 391, 392, 393, 397, 400, 407, 417, 419, 422, 424, 446, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458], "def": [1, 3, 4, 5, 106, 278, 303, 422, 449, 450, 451, 452, 453, 454, 457], "simple_axpbi": 1, "while": [1, 2, 4, 7, 237, 358, 453, 454], "leav": [1, 127, 290, 291, 292], "howev": [1, 106, 303, 315, 318, 433, 446, 449, 450, 453, 454], "mai": [1, 173, 286, 312, 450, 451, 452], "need": [1, 4, 5, 6, 7, 80, 219, 303, 348, 349, 362, 370, 446, 450, 451, 453, 454, 455, 457], "underli": [1, 280], "perhap": [1, 4], "make": [1, 2, 4, 5, 7, 188, 210, 247, 303, 438, 439, 441, 442, 449, 453, 455, 457], "faster": [1, 7, 120, 381, 391, 449, 451], "differenti": [1, 6], "tutori": 1, "go": [1, 4, 451], "through": [1, 260, 370, 431, 449, 451, 454], "It": [1, 4, 7, 154, 247, 278, 288, 292, 303, 349, 353, 432, 444, 454, 456], "cover": 1, "structur": [1, 432, 451], "librari": [1, 7, 298, 303], "redirect": 1, "acceler": [1, 307], "appropri": [1, 449], "metal": [1, 6], "vjp": [1, 106, 455], "jvp": [1, 106, 455], "graph": [1, 4, 5, 6, 451], "rule": [1, 424], "evalu": [1, 4, 5, 6, 127, 166, 281, 303, 333, 344, 422, 424, 449, 455], "discuss": 1, "more": [1, 2, 5, 9, 76, 112, 152, 170, 171, 172, 175, 176, 188, 200, 201, 242, 243, 296, 303, 307, 312, 358, 362, 370, 371, 373, 374, 375, 376, 391, 446, 449, 450, 451, 452, 455, 457], "detail": [1, 9, 200, 303, 312, 358, 362, 371, 373, 374, 375, 376, 425, 427, 428, 430, 431, 452, 455], "front": 1, "thei": [1, 3, 4, 7, 15, 99, 153, 160, 360, 395, 422, 431, 448, 449, 450, 453, 455, 456, 457], "defin": [1, 3, 4, 5, 7, 106, 153, 173, 220, 286, 289, 454], "api": [1, 315, 450, 451], "axpbi": 1, "follow": [1, 4, 5, 6, 7, 17, 99, 110, 152, 173, 215, 219, 291, 303, 382, 383, 397, 425, 426, 427, 428, 429, 430, 431, 437, 446, 449, 450, 451, 457], "numpi": [1, 4, 5, 6, 12, 15, 17, 85, 86, 87, 89, 119, 120, 124, 155, 156, 160, 167, 168, 169, 183, 188, 190, 205, 207, 211, 217, 235, 238, 262, 453, 455, 456], "style": [1, 12, 15, 85, 86, 87, 119, 120, 124, 155, 156, 160, 167, 168, 169, 183, 188, 190, 205, 207, 211, 217, 235, 238, 262], "upcast": 1, "factor": [1, 13, 157, 170, 171, 174, 371, 393, 439, 442], "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, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 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