diff --git a/master/.buildinfo b/master/.buildinfo
index 76e485747..d7a72ff6d 100644
--- a/master/.buildinfo
+++ b/master/.buildinfo
@@ -1,4 +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: 53dd097a7168e06dae1f9b4d065b8571
+config: ba5b0fb41fda44af3389f4f24cc39268
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/master/.doctrees/environment.pickle b/master/.doctrees/environment.pickle
index b1a075bec..03d5c7ccc 100644
Binary files a/master/.doctrees/environment.pickle and b/master/.doctrees/environment.pickle differ
diff --git a/master/.doctrees/getting-started/installation.doctree b/master/.doctrees/getting-started/installation.doctree
index 4829bc6ed..349f09f49 100644
Binary files a/master/.doctrees/getting-started/installation.doctree and b/master/.doctrees/getting-started/installation.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/01-vector-add.doctree b/master/.doctrees/getting-started/tutorials/01-vector-add.doctree
index 3465ed88b..6ae53f8ff 100644
Binary files a/master/.doctrees/getting-started/tutorials/01-vector-add.doctree and b/master/.doctrees/getting-started/tutorials/01-vector-add.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/02-fused-softmax.doctree b/master/.doctrees/getting-started/tutorials/02-fused-softmax.doctree
index 413e039c4..1b9ac6d8d 100644
Binary files a/master/.doctrees/getting-started/tutorials/02-fused-softmax.doctree and b/master/.doctrees/getting-started/tutorials/02-fused-softmax.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree b/master/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree
index 0f33e065b..ea2c5a29d 100644
Binary files a/master/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree and b/master/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree b/master/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree
index d76d9ce09..23c77383b 100644
Binary files a/master/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree and b/master/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/05-layer-norm.doctree b/master/.doctrees/getting-started/tutorials/05-layer-norm.doctree
index 8680279aa..2ed41eabb 100644
Binary files a/master/.doctrees/getting-started/tutorials/05-layer-norm.doctree and b/master/.doctrees/getting-started/tutorials/05-layer-norm.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/06-fused-attention.doctree b/master/.doctrees/getting-started/tutorials/06-fused-attention.doctree
index 85e7c73ae..df78501e6 100644
Binary files a/master/.doctrees/getting-started/tutorials/06-fused-attention.doctree and b/master/.doctrees/getting-started/tutorials/06-fused-attention.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/07-libdevice-function.doctree b/master/.doctrees/getting-started/tutorials/07-libdevice-function.doctree
index 7721156e1..16d5a7911 100644
Binary files a/master/.doctrees/getting-started/tutorials/07-libdevice-function.doctree and b/master/.doctrees/getting-started/tutorials/07-libdevice-function.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/index.doctree b/master/.doctrees/getting-started/tutorials/index.doctree
index e83b9fb2c..b84eb1210 100644
Binary files a/master/.doctrees/getting-started/tutorials/index.doctree and b/master/.doctrees/getting-started/tutorials/index.doctree differ
diff --git a/master/.doctrees/getting-started/tutorials/sg_execution_times.doctree b/master/.doctrees/getting-started/tutorials/sg_execution_times.doctree
index e7bbe5f7d..9993a3b71 100644
Binary files a/master/.doctrees/getting-started/tutorials/sg_execution_times.doctree and b/master/.doctrees/getting-started/tutorials/sg_execution_times.doctree differ
diff --git a/master/.doctrees/index.doctree b/master/.doctrees/index.doctree
index 17545f871..4fa175a21 100644
Binary files a/master/.doctrees/index.doctree and b/master/.doctrees/index.doctree differ
diff --git a/master/.doctrees/programming-guide/chapter-1/introduction.doctree b/master/.doctrees/programming-guide/chapter-1/introduction.doctree
index 216315eb2..e16849fd9 100644
Binary files a/master/.doctrees/programming-guide/chapter-1/introduction.doctree and b/master/.doctrees/programming-guide/chapter-1/introduction.doctree differ
diff --git a/master/.doctrees/programming-guide/chapter-2/related-work.doctree b/master/.doctrees/programming-guide/chapter-2/related-work.doctree
index 3683fd77d..6263dc0c9 100644
Binary files a/master/.doctrees/programming-guide/chapter-2/related-work.doctree and b/master/.doctrees/programming-guide/chapter-2/related-work.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.Config.doctree b/master/.doctrees/python-api/generated/triton.Config.doctree
index 052b759fa..a22d5114b 100644
Binary files a/master/.doctrees/python-api/generated/triton.Config.doctree and b/master/.doctrees/python-api/generated/triton.Config.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.autotune.doctree b/master/.doctrees/python-api/generated/triton.autotune.doctree
index 704e01473..fd82014d5 100644
Binary files a/master/.doctrees/python-api/generated/triton.autotune.doctree and b/master/.doctrees/python-api/generated/triton.autotune.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.heuristics.doctree b/master/.doctrees/python-api/generated/triton.heuristics.doctree
index 518b278ae..e3b660b3c 100644
Binary files a/master/.doctrees/python-api/generated/triton.heuristics.doctree and b/master/.doctrees/python-api/generated/triton.heuristics.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.jit.doctree b/master/.doctrees/python-api/generated/triton.jit.doctree
index 2d6ccaf47..568ae176f 100644
Binary files a/master/.doctrees/python-api/generated/triton.jit.doctree and b/master/.doctrees/python-api/generated/triton.jit.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.arange.doctree b/master/.doctrees/python-api/generated/triton.language.arange.doctree
index 84b569f23..ca9c77dd8 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.arange.doctree and b/master/.doctrees/python-api/generated/triton.language.arange.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_add.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_add.doctree
index 2bbb17f5c..3c24fd5a3 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_add.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_add.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_and.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_and.doctree
index b48a4ffc7..000d00dab 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_and.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_and.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_cas.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_cas.doctree
index 70fa74c88..5de5338c9 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_cas.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_cas.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_max.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_max.doctree
index b062bd582..c350735ab 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_max.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_max.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_min.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_min.doctree
index 80e9363c0..066defc3f 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_min.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_min.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_or.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_or.doctree
index c9ecce340..0d37ea64d 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_or.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_or.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree
index 01f79e3a0..9957f479f 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.atomic_xor.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_xor.doctree
index c4b54b77c..24ee77173 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.atomic_xor.doctree and b/master/.doctrees/python-api/generated/triton.language.atomic_xor.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.broadcast_to.doctree b/master/.doctrees/python-api/generated/triton.language.broadcast_to.doctree
index 6cce2bc53..ffd2c7bb8 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.broadcast_to.doctree and b/master/.doctrees/python-api/generated/triton.language.broadcast_to.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.cos.doctree b/master/.doctrees/python-api/generated/triton.language.cos.doctree
index af5d2139f..337b4a22a 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.cos.doctree and b/master/.doctrees/python-api/generated/triton.language.cos.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.dot.doctree b/master/.doctrees/python-api/generated/triton.language.dot.doctree
index de27a0c9d..1b1b5a004 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.dot.doctree and b/master/.doctrees/python-api/generated/triton.language.dot.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.exp.doctree b/master/.doctrees/python-api/generated/triton.language.exp.doctree
index fe499dcb7..2695e1848 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.exp.doctree and b/master/.doctrees/python-api/generated/triton.language.exp.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.load.doctree b/master/.doctrees/python-api/generated/triton.language.load.doctree
index 0dfaa4144..59fb59176 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.load.doctree and b/master/.doctrees/python-api/generated/triton.language.load.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.log.doctree b/master/.doctrees/python-api/generated/triton.language.log.doctree
index e406898ed..8ce440bfa 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.log.doctree and b/master/.doctrees/python-api/generated/triton.language.log.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.max.doctree b/master/.doctrees/python-api/generated/triton.language.max.doctree
index 454afc251..c8b02d2e4 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.max.doctree and b/master/.doctrees/python-api/generated/triton.language.max.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.maximum.doctree b/master/.doctrees/python-api/generated/triton.language.maximum.doctree
index eb2b906d8..caf1d7715 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.maximum.doctree and b/master/.doctrees/python-api/generated/triton.language.maximum.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.min.doctree b/master/.doctrees/python-api/generated/triton.language.min.doctree
index 41b943dfa..d65be5709 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.min.doctree and b/master/.doctrees/python-api/generated/triton.language.min.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.minimum.doctree b/master/.doctrees/python-api/generated/triton.language.minimum.doctree
index 9f6329985..97c2cd083 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.minimum.doctree and b/master/.doctrees/python-api/generated/triton.language.minimum.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.multiple_of.doctree b/master/.doctrees/python-api/generated/triton.language.multiple_of.doctree
index 8cdf91ea0..b239ab2e4 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.multiple_of.doctree and b/master/.doctrees/python-api/generated/triton.language.multiple_of.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.num_programs.doctree b/master/.doctrees/python-api/generated/triton.language.num_programs.doctree
index 25347ce44..7a57d1833 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.num_programs.doctree and b/master/.doctrees/python-api/generated/triton.language.num_programs.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.program_id.doctree b/master/.doctrees/python-api/generated/triton.language.program_id.doctree
index 6d5740ac2..be5e3052a 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.program_id.doctree and b/master/.doctrees/python-api/generated/triton.language.program_id.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.rand.doctree b/master/.doctrees/python-api/generated/triton.language.rand.doctree
index a0343dc5d..8043ffa2d 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.rand.doctree and b/master/.doctrees/python-api/generated/triton.language.rand.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.randint.doctree b/master/.doctrees/python-api/generated/triton.language.randint.doctree
index 70370b42a..dcae35ab5 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.randint.doctree and b/master/.doctrees/python-api/generated/triton.language.randint.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.randint4x.doctree b/master/.doctrees/python-api/generated/triton.language.randint4x.doctree
index 7970adabb..f5c431f81 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.randint4x.doctree and b/master/.doctrees/python-api/generated/triton.language.randint4x.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.randn.doctree b/master/.doctrees/python-api/generated/triton.language.randn.doctree
index 1e20b6961..e1f245a10 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.randn.doctree and b/master/.doctrees/python-api/generated/triton.language.randn.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.ravel.doctree b/master/.doctrees/python-api/generated/triton.language.ravel.doctree
index 6ef8e8b1e..e1427b540 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.ravel.doctree and b/master/.doctrees/python-api/generated/triton.language.ravel.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.reshape.doctree b/master/.doctrees/python-api/generated/triton.language.reshape.doctree
index 7e71b9dc1..0048e5e09 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.reshape.doctree and b/master/.doctrees/python-api/generated/triton.language.reshape.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.sigmoid.doctree b/master/.doctrees/python-api/generated/triton.language.sigmoid.doctree
index 7897bb169..a5c912632 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.sigmoid.doctree and b/master/.doctrees/python-api/generated/triton.language.sigmoid.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.sin.doctree b/master/.doctrees/python-api/generated/triton.language.sin.doctree
index 2a6370ee1..a25db7873 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.sin.doctree and b/master/.doctrees/python-api/generated/triton.language.sin.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.softmax.doctree b/master/.doctrees/python-api/generated/triton.language.softmax.doctree
index 99b8ae7fb..c257b1d8e 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.softmax.doctree and b/master/.doctrees/python-api/generated/triton.language.softmax.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.sqrt.doctree b/master/.doctrees/python-api/generated/triton.language.sqrt.doctree
index 0e3c3edcc..805cc7c36 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.sqrt.doctree and b/master/.doctrees/python-api/generated/triton.language.sqrt.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.store.doctree b/master/.doctrees/python-api/generated/triton.language.store.doctree
index 1aea9e2c2..88eb1d00a 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.store.doctree and b/master/.doctrees/python-api/generated/triton.language.store.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.sum.doctree b/master/.doctrees/python-api/generated/triton.language.sum.doctree
index 76dfbe8b7..b9e7996c9 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.sum.doctree and b/master/.doctrees/python-api/generated/triton.language.sum.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.where.doctree b/master/.doctrees/python-api/generated/triton.language.where.doctree
index bd557e3e9..464b2e0ca 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.where.doctree and b/master/.doctrees/python-api/generated/triton.language.where.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.language.zeros.doctree b/master/.doctrees/python-api/generated/triton.language.zeros.doctree
index ac1e2fca7..7533e02fe 100644
Binary files a/master/.doctrees/python-api/generated/triton.language.zeros.doctree and b/master/.doctrees/python-api/generated/triton.language.zeros.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.testing.Benchmark.doctree b/master/.doctrees/python-api/generated/triton.testing.Benchmark.doctree
index 97375e25f..856fbb048 100644
Binary files a/master/.doctrees/python-api/generated/triton.testing.Benchmark.doctree and b/master/.doctrees/python-api/generated/triton.testing.Benchmark.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.testing.do_bench.doctree b/master/.doctrees/python-api/generated/triton.testing.do_bench.doctree
index 4c83c85d5..96dffda62 100644
Binary files a/master/.doctrees/python-api/generated/triton.testing.do_bench.doctree and b/master/.doctrees/python-api/generated/triton.testing.do_bench.doctree differ
diff --git a/master/.doctrees/python-api/generated/triton.testing.perf_report.doctree b/master/.doctrees/python-api/generated/triton.testing.perf_report.doctree
index b30e51938..58113429a 100644
Binary files a/master/.doctrees/python-api/generated/triton.testing.perf_report.doctree and b/master/.doctrees/python-api/generated/triton.testing.perf_report.doctree differ
diff --git a/master/.doctrees/python-api/triton.doctree b/master/.doctrees/python-api/triton.doctree
index f36e47101..cecf3ef95 100644
Binary files a/master/.doctrees/python-api/triton.doctree and b/master/.doctrees/python-api/triton.doctree differ
diff --git a/master/.doctrees/python-api/triton.language.doctree b/master/.doctrees/python-api/triton.language.doctree
index 9a4694bc4..cbf0209a4 100644
Binary files a/master/.doctrees/python-api/triton.language.doctree and b/master/.doctrees/python-api/triton.language.doctree differ
diff --git a/master/.doctrees/python-api/triton.testing.doctree b/master/.doctrees/python-api/triton.testing.doctree
index cd4757724..22780a20b 100644
Binary files a/master/.doctrees/python-api/triton.testing.doctree and b/master/.doctrees/python-api/triton.testing.doctree differ
diff --git a/master/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip b/master/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip
index 9e6ef2932..f9c959cc8 100644
Binary files a/master/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip and b/master/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip differ
diff --git a/master/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip b/master/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip
index 61ae15f94..709361349 100644
Binary files a/master/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip and b/master/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip differ
diff --git a/master/_images/sphx_glr_01-vector-add_001.png b/master/_images/sphx_glr_01-vector-add_001.png
index 4a566f9b8..aca193b40 100644
Binary files a/master/_images/sphx_glr_01-vector-add_001.png and b/master/_images/sphx_glr_01-vector-add_001.png differ
diff --git a/master/_images/sphx_glr_01-vector-add_thumb.png b/master/_images/sphx_glr_01-vector-add_thumb.png
index 9c4738255..fd139871a 100644
Binary files a/master/_images/sphx_glr_01-vector-add_thumb.png and b/master/_images/sphx_glr_01-vector-add_thumb.png differ
diff --git a/master/_images/sphx_glr_02-fused-softmax_001.png b/master/_images/sphx_glr_02-fused-softmax_001.png
index 162f66a2a..f184451ef 100644
Binary files a/master/_images/sphx_glr_02-fused-softmax_001.png and b/master/_images/sphx_glr_02-fused-softmax_001.png differ
diff --git a/master/_images/sphx_glr_02-fused-softmax_thumb.png b/master/_images/sphx_glr_02-fused-softmax_thumb.png
index 12a87d081..44040880d 100644
Binary files a/master/_images/sphx_glr_02-fused-softmax_thumb.png and b/master/_images/sphx_glr_02-fused-softmax_thumb.png differ
diff --git a/master/_images/sphx_glr_03-matrix-multiplication_001.png b/master/_images/sphx_glr_03-matrix-multiplication_001.png
index 17fe71fe8..dc6117cf1 100644
Binary files a/master/_images/sphx_glr_03-matrix-multiplication_001.png and b/master/_images/sphx_glr_03-matrix-multiplication_001.png differ
diff --git a/master/_images/sphx_glr_03-matrix-multiplication_thumb.png b/master/_images/sphx_glr_03-matrix-multiplication_thumb.png
index 3bc5ee06b..d31a64114 100644
Binary files a/master/_images/sphx_glr_03-matrix-multiplication_thumb.png and b/master/_images/sphx_glr_03-matrix-multiplication_thumb.png differ
diff --git a/master/_images/sphx_glr_05-layer-norm_001.png b/master/_images/sphx_glr_05-layer-norm_001.png
index 854edf803..f732a337c 100644
Binary files a/master/_images/sphx_glr_05-layer-norm_001.png and b/master/_images/sphx_glr_05-layer-norm_001.png differ
diff --git a/master/_images/sphx_glr_05-layer-norm_thumb.png b/master/_images/sphx_glr_05-layer-norm_thumb.png
index aadf42620..861e3992c 100644
Binary files a/master/_images/sphx_glr_05-layer-norm_thumb.png and b/master/_images/sphx_glr_05-layer-norm_thumb.png differ
diff --git a/master/_sources/getting-started/tutorials/01-vector-add.rst.txt b/master/_sources/getting-started/tutorials/01-vector-add.rst.txt
index d3eb6c50b..3d28c2612 100644
--- a/master/_sources/getting-started/tutorials/01-vector-add.rst.txt
+++ b/master/_sources/getting-started/tutorials/01-vector-add.rst.txt
@@ -255,7 +255,7 @@ We can now run the decorated function above. Pass `print_data=True` to see the p
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 1 minutes  41.917 seconds)
+   **Total running time of the script:** ( 1 minutes  47.895 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_01-vector-add.py:
diff --git a/master/_sources/getting-started/tutorials/02-fused-softmax.rst.txt b/master/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
index fced1c069..e93c01b80 100644
--- a/master/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
+++ b/master/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
@@ -278,17 +278,17 @@ We will then compare its performance against (1) :code:`torch.softmax` and (2) t
 
     softmax-performance:
               N      Triton  Torch (native)  Torch (jit)
-    0     256.0  512.000001      546.133347   190.511628
+    0     256.0  512.000001      546.133347   186.181817
     1     384.0  614.400016      585.142862   153.600004
-    2     512.0  655.360017      585.142849   154.566038
+    2     512.0  655.360017      606.814814   154.566038
     3     640.0  706.206879      640.000002   160.000000
     4     768.0  722.823517      664.216187   162.754967
     ..      ...         ...             ...          ...
-    93  12160.0  812.359066      406.603966   199.038365
-    94  12288.0  812.429770      416.101597   199.197579
-    95  12416.0  812.498981      413.006241   198.854847
-    96  12544.0  810.925276      412.971190   199.111113
-    97  12672.0  811.007961      412.516771   199.167004
+    93  12160.0  812.359066      406.179533   198.834951
+    94  12288.0  812.429770      415.661740   199.197579
+    95  12416.0  812.498981      412.149375   198.655991
+    96  12544.0  810.925276      412.971190   198.913776
+    97  12672.0  811.007961      411.679167   198.971549
 
     [98 rows x 4 columns]
 
@@ -306,7 +306,7 @@ In the above plot, we can see that:
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 3 minutes  30.054 seconds)
+   **Total running time of the script:** ( 3 minutes  31.309 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_02-fused-softmax.py:
diff --git a/master/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt b/master/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
index 11259d3b9..23153e86e 100644
--- a/master/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
+++ b/master/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
@@ -459,37 +459,37 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
 
     matmul-performance:
              M     cuBLAS  ...     Triton  Triton (+ LeakyReLU)
-    0    256.0   2.730667  ...   2.978909              2.978909
-    1    384.0   7.372800  ...   8.507077              8.507077
-    2    512.0  14.563555  ...  15.420235             16.384000
+    0    256.0   2.730667  ...   3.276800              3.276800
+    1    384.0   7.372800  ...   7.899428              7.899428
+    2    512.0  14.563555  ...  16.384000             15.420235
     3    640.0  22.260869  ...  24.380953             24.380953
     4    768.0  32.768000  ...  35.389441             34.028308
-    5    896.0  37.971025  ...  40.140799             39.025776
+    5    896.0  39.025776  ...  40.140799             39.025776
     6   1024.0  49.932191  ...  53.773130             52.428801
-    7   1152.0  45.242181  ...  48.161033             47.396572
+    7   1152.0  44.566925  ...  48.161033             47.396572
     8   1280.0  51.200001  ...  57.690139             57.690139
     9   1408.0  64.138541  ...  69.009825             68.147202
-    10  1536.0  80.430545  ...  80.430545             78.643199
-    11  1664.0  62.929456  ...  63.372618             62.492442
-    12  1792.0  72.983276  ...  73.460287             59.467852
-    13  1920.0  69.120002  ...  71.626943             71.257735
-    14  2048.0  73.908442  ...  78.398206             77.314362
-    15  2176.0  83.155572  ...  87.876193             85.998493
-    16  2304.0  68.446623  ...  78.064941             77.307030
-    17  2432.0  71.305746  ...  86.179335             85.653855
-    18  2560.0  77.833728  ...  82.539044             81.310171
-    19  2688.0  83.737433  ...  90.532356             89.676257
-    20  2816.0  80.767055  ...  83.873477             81.674548
-    21  2944.0  82.237674  ...  83.477440             82.373605
-    22  3072.0  81.707223  ...  89.877939             88.197981
-    23  3200.0  84.544253  ...  96.822991             94.814812
-    24  3328.0  83.226931  ...  85.398926             84.895397
-    25  3456.0  81.766291  ...  91.511426             86.503829
-    26  3584.0  83.876297  ...  95.756542             95.350361
-    27  3712.0  84.159518  ...  88.837126             87.937800
-    28  3840.0  85.070769  ...  93.326587             85.663823
-    29  3968.0  91.198760  ...  87.097744             91.609561
-    30  4096.0  86.204508  ...  93.792965             89.240508
+    10  1536.0  80.430545  ...  81.355034             79.526831
+    11  1664.0  63.372618  ...  63.372618             62.492442
+    12  1792.0  72.983276  ...  73.943582             59.467852
+    13  1920.0  69.467336  ...  71.257735             71.257735
+    14  2048.0  73.584279  ...  78.398206             77.314362
+    15  2176.0  83.500614  ...  87.876193             86.367588
+    16  2304.0  68.251065  ...  78.064941             77.307030
+    17  2432.0  71.305746  ...  86.444504             84.621881
+    18  2560.0  78.019048  ...  82.331658             81.108913
+    19  2688.0  83.369354  ...  90.966561             89.464755
+    20  2816.0  79.587973  ...  84.197315             83.074685
+    21  2944.0  81.967162  ...  83.060049             82.784108
+    22  3072.0  82.420822  ...  87.924073             85.019675
+    23  3200.0  84.768213  ...  96.458178             95.238096
+    24  3328.0  83.905938  ...  85.096096             84.298943
+    25  3456.0  82.604067  ...  91.304157             87.442050
+    26  3584.0  87.211821  ...  98.375705             91.656871
+    27  3712.0  84.874549  ...  89.035062             86.044224
+    28  3840.0  84.744825  ...  93.484358             84.484863
+    29  3968.0  92.582651  ...  84.976733             91.472214
+    30  4096.0  86.256445  ...  88.475759             90.230403
 
     [31 rows x 5 columns]
 
@@ -499,7 +499,7 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 6 minutes  38.507 seconds)
+   **Total running time of the script:** ( 6 minutes  18.355 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_03-matrix-multiplication.py:
diff --git a/master/_sources/getting-started/tutorials/05-layer-norm.rst.txt b/master/_sources/getting-started/tutorials/05-layer-norm.rst.txt
index 58bd3828e..61fba4b52 100644
--- a/master/_sources/getting-started/tutorials/05-layer-norm.rst.txt
+++ b/master/_sources/getting-started/tutorials/05-layer-norm.rst.txt
@@ -40,34 +40,34 @@ Layer Normalization
               N      Triton       Torch        Apex
     0    1024.0  585.142849  277.694907  468.114273
     1    1536.0  630.153868  323.368435  511.999982
-    2    2048.0  682.666643  337.814445  520.126988
+    2    2048.0  668.734716  334.367358  520.126988
     3    2560.0  694.237267  362.477870  512.000013
-    4    3072.0  712.347810  378.092307  501.551037
-    5    3584.0  725.873439  384.859062  451.527536
-    6    4096.0  728.177767  381.023256  451.972420
-    7    4608.0  670.254540  396.387087  428.651163
-    8    5120.0  688.403381  397.669909  420.102563
-    9    5632.0  704.000002  395.228063  413.357796
-    10   6144.0  702.171410  402.885254  413.042029
-    11   6656.0  700.631610  400.360920  400.360920
-    12   7168.0  690.891575  392.767108  382.293315
-    13   7680.0  678.895043  393.846167  386.415087
-    14   8192.0  636.271854  394.795186  377.729113
-    15   8704.0  624.502255  389.005597  379.465939
-    16   9216.0  604.327881  406.214877  382.010363
+    4    3072.0  712.347810  378.092307  496.484863
+    5    3584.0  725.873439  384.859062  455.111115
+    6    4096.0  728.177767  381.023256  442.810792
+    7    4608.0  670.254540  394.267384  426.173427
+    8    5120.0  688.403381  397.669909  426.666652
+    9    5632.0  698.542675  395.228063  409.599997
+    10   6144.0  702.171410  402.885254  411.313806
+    11   6656.0  700.631610  398.861429  400.360920
+    12   7168.0  686.754468  394.116833  387.459443
+    13   7680.0  678.895043  392.587863  386.415087
+    14   8192.0  633.198054  387.786968  369.216905
+    15   8704.0  624.502255  387.922008  379.465939
+    16   9216.0  604.327881  406.214877  383.002605
     17   9728.0  585.142883  408.524944  383.369452
     18  10240.0  564.965524  409.600010  382.803739
-    19  10752.0  546.133312  411.559798  380.601764
-    20  11264.0  531.634232  404.997742  371.595879
-    21  11776.0  520.486200  409.599991  377.587162
+    19  10752.0  546.133312  410.577576  381.445676
+    20  11264.0  531.634232  406.826188  374.686074
+    21  11776.0  520.486200  409.599991  376.831982
     22  12288.0  516.031509  413.911572  383.251457
-    23  12800.0  504.433489  409.599981  377.163903
-    24  13312.0  494.180982  406.473303  377.645399
-    25  13824.0  482.934503  412.656711  379.389355
-    26  14336.0  471.967074  402.414053  370.558967
-    27  14848.0  461.297068  407.492270  373.534584
-    28  15360.0  454.269882  406.214870  377.511515
-    29  15872.0  447.098578  409.599996  377.343238
+    23  12800.0  504.433489  409.599981  376.470582
+    24  13312.0  494.180982  405.699062  376.976995
+    25  13824.0  481.882350  412.656711  379.389355
+    26  14336.0  471.967074  405.975225  372.969090
+    27  14848.0  461.297068  406.794504  375.304904
+    28  15360.0  454.269882  406.887417  377.511515
+    29  15872.0  447.098578  406.974373  376.225175
 
 
 
@@ -393,7 +393,7 @@ Layer Normalization
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 5 minutes  37.218 seconds)
+   **Total running time of the script:** ( 5 minutes  33.735 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_05-layer-norm.py:
diff --git a/master/_sources/getting-started/tutorials/06-fused-attention.rst.txt b/master/_sources/getting-started/tutorials/06-fused-attention.rst.txt
index d78c6a14f..ccacba688 100644
--- a/master/_sources/getting-started/tutorials/06-fused-attention.rst.txt
+++ b/master/_sources/getting-started/tutorials/06-fused-attention.rst.txt
@@ -390,7 +390,7 @@ This is a Triton implementation of the Flash Attention algorithm
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.073 seconds)
+   **Total running time of the script:** ( 0 minutes  0.075 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_06-fused-attention.py:
diff --git a/master/_sources/getting-started/tutorials/07-libdevice-function.rst.txt b/master/_sources/getting-started/tutorials/07-libdevice-function.rst.txt
index 297ebf116..228c0d6c8 100644
--- a/master/_sources/getting-started/tutorials/07-libdevice-function.rst.txt
+++ b/master/_sources/getting-started/tutorials/07-libdevice-function.rst.txt
@@ -152,7 +152,7 @@ We can also customize the libdevice library path by passing the path to the `lib
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.010 seconds)
+   **Total running time of the script:** ( 0 minutes  0.011 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_07-libdevice-function.py:
diff --git a/master/_sources/getting-started/tutorials/sg_execution_times.rst.txt b/master/_sources/getting-started/tutorials/sg_execution_times.rst.txt
index 9f35e906e..98c6d068e 100644
--- a/master/_sources/getting-started/tutorials/sg_execution_times.rst.txt
+++ b/master/_sources/getting-started/tutorials/sg_execution_times.rst.txt
@@ -5,20 +5,20 @@
 
 Computation times
 =================
-**17:27.791** total execution time for **getting-started_tutorials** files:
+**17:11.392** total execution time for **getting-started_tutorials** files:
 
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 06:38.507 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 06:18.355 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 05:37.218 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 05:33.735 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:30.054 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:31.309 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:41.917 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:47.895 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_06-fused-attention.py` (``06-fused-attention.py``)             | 00:00.073 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_06-fused-attention.py` (``06-fused-attention.py``)             | 00:00.075 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
 | :ref:`sphx_glr_getting-started_tutorials_04-low-memory-dropout.py` (``04-low-memory-dropout.py``)       | 00:00.012 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_07-libdevice-function.py` (``07-libdevice-function.py``)       | 00:00.010 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_07-libdevice-function.py` (``07-libdevice-function.py``)       | 00:00.011 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
diff --git a/master/getting-started/tutorials/01-vector-add.html b/master/getting-started/tutorials/01-vector-add.html
index 05fda03ae..0480ab608 100644
--- a/master/getting-started/tutorials/01-vector-add.html
+++ b/master/getting-started/tutorials/01-vector-add.html
@@ -342,7 +342,7 @@ for different problem sizes.</p>
 15  134217728.0  849.737435  850.656574
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  41.917 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  47.895 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-01-vector-add-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/62d97d49a32414049819dd8bb8378080/01-vector-add.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">01-vector-add.py</span></code></a></p>
diff --git a/master/getting-started/tutorials/02-fused-softmax.html b/master/getting-started/tutorials/02-fused-softmax.html
index fd0d24e63..7c12bee62 100644
--- a/master/getting-started/tutorials/02-fused-softmax.html
+++ b/master/getting-started/tutorials/02-fused-softmax.html
@@ -371,17 +371,17 @@ We will then compare its performance against (1) <code class="code docutils lite
 <p class="sphx-glr-script-out">Out:</p>
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>softmax-performance:
           N      Triton  Torch (native)  Torch (jit)
-0     256.0  512.000001      546.133347   190.511628
+0     256.0  512.000001      546.133347   186.181817
 1     384.0  614.400016      585.142862   153.600004
-2     512.0  655.360017      585.142849   154.566038
+2     512.0  655.360017      606.814814   154.566038
 3     640.0  706.206879      640.000002   160.000000
 4     768.0  722.823517      664.216187   162.754967
 ..      ...         ...             ...          ...
-93  12160.0  812.359066      406.603966   199.038365
-94  12288.0  812.429770      416.101597   199.197579
-95  12416.0  812.498981      413.006241   198.854847
-96  12544.0  810.925276      412.971190   199.111113
-97  12672.0  811.007961      412.516771   199.167004
+93  12160.0  812.359066      406.179533   198.834951
+94  12288.0  812.429770      415.661740   199.197579
+95  12416.0  812.498981      412.149375   198.655991
+96  12544.0  810.925276      412.971190   198.913776
+97  12672.0  811.007961      411.679167   198.971549
 
 [98 rows x 4 columns]
 </pre></div>
@@ -394,7 +394,7 @@ We will then compare its performance against (1) <code class="code docutils lite
 Note however that the PyTorch <cite>softmax</cite> operation is more general and will works on tensors of any shape.</p></li>
 </ul>
 </div></blockquote>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 3 minutes  30.054 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 3 minutes  31.309 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-02-fused-softmax-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/d91442ac2982c4e0cc3ab0f43534afbc/02-fused-softmax.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">02-fused-softmax.py</span></code></a></p>
diff --git a/master/getting-started/tutorials/03-matrix-multiplication.html b/master/getting-started/tutorials/03-matrix-multiplication.html
index 5708836fd..c7cdad87f 100644
--- a/master/getting-started/tutorials/03-matrix-multiplication.html
+++ b/master/getting-started/tutorials/03-matrix-multiplication.html
@@ -567,42 +567,42 @@ torch_output=tensor([[  1.1045, -36.9688,  31.4688,  ..., -11.3906,  24.4531, -3
 <p class="sphx-glr-script-out">Out:</p>
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>matmul-performance:
          M     cuBLAS  ...     Triton  Triton (+ LeakyReLU)
-0    256.0   2.730667  ...   2.978909              2.978909
-1    384.0   7.372800  ...   8.507077              8.507077
-2    512.0  14.563555  ...  15.420235             16.384000
+0    256.0   2.730667  ...   3.276800              3.276800
+1    384.0   7.372800  ...   7.899428              7.899428
+2    512.0  14.563555  ...  16.384000             15.420235
 3    640.0  22.260869  ...  24.380953             24.380953
 4    768.0  32.768000  ...  35.389441             34.028308
-5    896.0  37.971025  ...  40.140799             39.025776
+5    896.0  39.025776  ...  40.140799             39.025776
 6   1024.0  49.932191  ...  53.773130             52.428801
-7   1152.0  45.242181  ...  48.161033             47.396572
+7   1152.0  44.566925  ...  48.161033             47.396572
 8   1280.0  51.200001  ...  57.690139             57.690139
 9   1408.0  64.138541  ...  69.009825             68.147202
-10  1536.0  80.430545  ...  80.430545             78.643199
-11  1664.0  62.929456  ...  63.372618             62.492442
-12  1792.0  72.983276  ...  73.460287             59.467852
-13  1920.0  69.120002  ...  71.626943             71.257735
-14  2048.0  73.908442  ...  78.398206             77.314362
-15  2176.0  83.155572  ...  87.876193             85.998493
-16  2304.0  68.446623  ...  78.064941             77.307030
-17  2432.0  71.305746  ...  86.179335             85.653855
-18  2560.0  77.833728  ...  82.539044             81.310171
-19  2688.0  83.737433  ...  90.532356             89.676257
-20  2816.0  80.767055  ...  83.873477             81.674548
-21  2944.0  82.237674  ...  83.477440             82.373605
-22  3072.0  81.707223  ...  89.877939             88.197981
-23  3200.0  84.544253  ...  96.822991             94.814812
-24  3328.0  83.226931  ...  85.398926             84.895397
-25  3456.0  81.766291  ...  91.511426             86.503829
-26  3584.0  83.876297  ...  95.756542             95.350361
-27  3712.0  84.159518  ...  88.837126             87.937800
-28  3840.0  85.070769  ...  93.326587             85.663823
-29  3968.0  91.198760  ...  87.097744             91.609561
-30  4096.0  86.204508  ...  93.792965             89.240508
+10  1536.0  80.430545  ...  81.355034             79.526831
+11  1664.0  63.372618  ...  63.372618             62.492442
+12  1792.0  72.983276  ...  73.943582             59.467852
+13  1920.0  69.467336  ...  71.257735             71.257735
+14  2048.0  73.584279  ...  78.398206             77.314362
+15  2176.0  83.500614  ...  87.876193             86.367588
+16  2304.0  68.251065  ...  78.064941             77.307030
+17  2432.0  71.305746  ...  86.444504             84.621881
+18  2560.0  78.019048  ...  82.331658             81.108913
+19  2688.0  83.369354  ...  90.966561             89.464755
+20  2816.0  79.587973  ...  84.197315             83.074685
+21  2944.0  81.967162  ...  83.060049             82.784108
+22  3072.0  82.420822  ...  87.924073             85.019675
+23  3200.0  84.768213  ...  96.458178             95.238096
+24  3328.0  83.905938  ...  85.096096             84.298943
+25  3456.0  82.604067  ...  91.304157             87.442050
+26  3584.0  87.211821  ...  98.375705             91.656871
+27  3712.0  84.874549  ...  89.035062             86.044224
+28  3840.0  84.744825  ...  93.484358             84.484863
+29  3968.0  92.582651  ...  84.976733             91.472214
+30  4096.0  86.256445  ...  88.475759             90.230403
 
 [31 rows x 5 columns]
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 6 minutes  38.507 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 6 minutes  18.355 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-03-matrix-multiplication-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/d5fee5b55a64e47f1b5724ec39adf171/03-matrix-multiplication.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">03-matrix-multiplication.py</span></code></a></p>
diff --git a/master/getting-started/tutorials/05-layer-norm.html b/master/getting-started/tutorials/05-layer-norm.html
index c0c8b07cf..cb6b3e40a 100644
--- a/master/getting-started/tutorials/05-layer-norm.html
+++ b/master/getting-started/tutorials/05-layer-norm.html
@@ -198,34 +198,34 @@ to download the full example code</p>
           N      Triton       Torch        Apex
 0    1024.0  585.142849  277.694907  468.114273
 1    1536.0  630.153868  323.368435  511.999982
-2    2048.0  682.666643  337.814445  520.126988
+2    2048.0  668.734716  334.367358  520.126988
 3    2560.0  694.237267  362.477870  512.000013
-4    3072.0  712.347810  378.092307  501.551037
-5    3584.0  725.873439  384.859062  451.527536
-6    4096.0  728.177767  381.023256  451.972420
-7    4608.0  670.254540  396.387087  428.651163
-8    5120.0  688.403381  397.669909  420.102563
-9    5632.0  704.000002  395.228063  413.357796
-10   6144.0  702.171410  402.885254  413.042029
-11   6656.0  700.631610  400.360920  400.360920
-12   7168.0  690.891575  392.767108  382.293315
-13   7680.0  678.895043  393.846167  386.415087
-14   8192.0  636.271854  394.795186  377.729113
-15   8704.0  624.502255  389.005597  379.465939
-16   9216.0  604.327881  406.214877  382.010363
+4    3072.0  712.347810  378.092307  496.484863
+5    3584.0  725.873439  384.859062  455.111115
+6    4096.0  728.177767  381.023256  442.810792
+7    4608.0  670.254540  394.267384  426.173427
+8    5120.0  688.403381  397.669909  426.666652
+9    5632.0  698.542675  395.228063  409.599997
+10   6144.0  702.171410  402.885254  411.313806
+11   6656.0  700.631610  398.861429  400.360920
+12   7168.0  686.754468  394.116833  387.459443
+13   7680.0  678.895043  392.587863  386.415087
+14   8192.0  633.198054  387.786968  369.216905
+15   8704.0  624.502255  387.922008  379.465939
+16   9216.0  604.327881  406.214877  383.002605
 17   9728.0  585.142883  408.524944  383.369452
 18  10240.0  564.965524  409.600010  382.803739
-19  10752.0  546.133312  411.559798  380.601764
-20  11264.0  531.634232  404.997742  371.595879
-21  11776.0  520.486200  409.599991  377.587162
+19  10752.0  546.133312  410.577576  381.445676
+20  11264.0  531.634232  406.826188  374.686074
+21  11776.0  520.486200  409.599991  376.831982
 22  12288.0  516.031509  413.911572  383.251457
-23  12800.0  504.433489  409.599981  377.163903
-24  13312.0  494.180982  406.473303  377.645399
-25  13824.0  482.934503  412.656711  379.389355
-26  14336.0  471.967074  402.414053  370.558967
-27  14848.0  461.297068  407.492270  373.534584
-28  15360.0  454.269882  406.214870  377.511515
-29  15872.0  447.098578  409.599996  377.343238
+23  12800.0  504.433489  409.599981  376.470582
+24  13312.0  494.180982  405.699062  376.976995
+25  13824.0  481.882350  412.656711  379.389355
+26  14336.0  471.967074  405.975225  372.969090
+27  14848.0  461.297068  406.794504  375.304904
+28  15360.0  454.269882  406.887417  377.511515
+29  15872.0  447.098578  406.974373  376.225175
 </pre></div>
 </div>
 <div class="line-block">
@@ -543,7 +543,7 @@ to download the full example code</p>
 <span class="n">bench_layer_norm</span><span class="o">.</span><span class="n">run</span><span class="p">(</span><span class="n">save_path</span><span class="o">=</span><span class="s1">&#39;.&#39;</span><span class="p">,</span> <span class="n">print_data</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 5 minutes  37.218 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 5 minutes  33.735 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-05-layer-norm-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/935c0dd0fbeb4b2e69588471cbb2d4b2/05-layer-norm.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">05-layer-norm.py</span></code></a></p>
diff --git a/master/getting-started/tutorials/06-fused-attention.html b/master/getting-started/tutorials/06-fused-attention.html
index 0921e530d..dda14229f 100644
--- a/master/getting-started/tutorials/06-fused-attention.html
+++ b/master/getting-started/tutorials/06-fused-attention.html
@@ -548,7 +548,7 @@ to download the full example code</p>
 <span class="c1"># bench_flash_attention.run(save_path=&#39;.&#39;, print_data=True)</span>
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  0.073 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  0.075 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-06-fused-attention-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/54a35f6ec55f9746935b9566fb6bb1df/06-fused-attention.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">06-fused-attention.py</span></code></a></p>
diff --git a/master/getting-started/tutorials/07-libdevice-function.html b/master/getting-started/tutorials/07-libdevice-function.html
index e8648e0b7..fb23af6bd 100644
--- a/master/getting-started/tutorials/07-libdevice-function.html
+++ b/master/getting-started/tutorials/07-libdevice-function.html
@@ -276,7 +276,7 @@ tensor([0.4105, 0.5430, 0.0249,  ..., 0.0424, 0.5351, 0.8149], device=&#39;cuda:
 The maximum difference between torch and triton is 2.384185791015625e-07
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  0.010 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  0.011 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-07-libdevice-function-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/3ff29f967ace7985da24aab10352fc76/07-libdevice-function.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">07-libdevice-function.py</span></code></a></p>
diff --git a/master/getting-started/tutorials/sg_execution_times.html b/master/getting-started/tutorials/sg_execution_times.html
index e44d1317c..069b513dd 100644
--- a/master/getting-started/tutorials/sg_execution_times.html
+++ b/master/getting-started/tutorials/sg_execution_times.html
@@ -174,7 +174,7 @@
             
   <div class="section" id="computation-times">
 <span id="sphx-glr-getting-started-tutorials-sg-execution-times"></span><h1>Computation times<a class="headerlink" href="#computation-times" title="Permalink to this headline">¶</a></h1>
-<p><strong>17:27.791</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
+<p><strong>17:11.392</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
 <table class="docutils align-default">
 <colgroup>
 <col style="width: 85%" />
@@ -183,23 +183,23 @@
 </colgroup>
 <tbody>
 <tr class="row-odd"><td><p><a class="reference internal" href="03-matrix-multiplication.html#sphx-glr-getting-started-tutorials-03-matrix-multiplication-py"><span class="std std-ref">Matrix Multiplication</span></a> (<code class="docutils literal notranslate"><span class="pre">03-matrix-multiplication.py</span></code>)</p></td>
-<td><p>06:38.507</p></td>
+<td><p>06:18.355</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-even"><td><p><a class="reference internal" href="05-layer-norm.html#sphx-glr-getting-started-tutorials-05-layer-norm-py"><span class="std std-ref">Layer Normalization</span></a> (<code class="docutils literal notranslate"><span class="pre">05-layer-norm.py</span></code>)</p></td>
-<td><p>05:37.218</p></td>
+<td><p>05:33.735</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-odd"><td><p><a class="reference internal" href="02-fused-softmax.html#sphx-glr-getting-started-tutorials-02-fused-softmax-py"><span class="std std-ref">Fused Softmax</span></a> (<code class="docutils literal notranslate"><span class="pre">02-fused-softmax.py</span></code>)</p></td>
-<td><p>03:30.054</p></td>
+<td><p>03:31.309</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-even"><td><p><a class="reference internal" href="01-vector-add.html#sphx-glr-getting-started-tutorials-01-vector-add-py"><span class="std std-ref">Vector Addition</span></a> (<code class="docutils literal notranslate"><span class="pre">01-vector-add.py</span></code>)</p></td>
-<td><p>01:41.917</p></td>
+<td><p>01:47.895</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-odd"><td><p><a class="reference internal" href="06-fused-attention.html#sphx-glr-getting-started-tutorials-06-fused-attention-py"><span class="std std-ref">Fused Attention</span></a> (<code class="docutils literal notranslate"><span class="pre">06-fused-attention.py</span></code>)</p></td>
-<td><p>00:00.073</p></td>
+<td><p>00:00.075</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-even"><td><p><a class="reference internal" href="04-low-memory-dropout.html#sphx-glr-getting-started-tutorials-04-low-memory-dropout-py"><span class="std std-ref">Low-Memory Dropout</span></a> (<code class="docutils literal notranslate"><span class="pre">04-low-memory-dropout.py</span></code>)</p></td>
@@ -207,7 +207,7 @@
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-odd"><td><p><a class="reference internal" href="07-libdevice-function.html#sphx-glr-getting-started-tutorials-07-libdevice-function-py"><span class="std std-ref">Libdevice function</span></a> (<code class="docutils literal notranslate"><span class="pre">07-libdevice-function.py</span></code>)</p></td>
-<td><p>00:00.010</p></td>
+<td><p>00:00.011</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 </tbody>
diff --git a/master/searchindex.js b/master/searchindex.js
index f1c8b354d..207f4a245 100644
--- a/master/searchindex.js
+++ b/master/searchindex.js
@@ -1 +1 @@
-Search.setIndex({docnames:["getting-started/installation","getting-started/tutorials/01-vector-add","getting-started/tutorials/02-fused-softmax","getting-started/tutorials/03-matrix-multiplication","getting-started/tutorials/04-low-memory-dropout","getting-started/tutorials/05-layer-norm","getting-started/tutorials/06-fused-attention","getting-started/tutorials/07-libdevice-function","getting-started/tutorials/index","getting-started/tutorials/sg_execution_times","index","programming-guide/chapter-1/introduction","programming-guide/chapter-2/related-work","python-api/generated/triton.Config","python-api/generated/triton.autotune","python-api/generated/triton.heuristics","python-api/generated/triton.jit","python-api/generated/triton.language.arange","python-api/generated/triton.language.atomic_add","python-api/generated/triton.language.atomic_and","python-api/generated/triton.language.atomic_cas","python-api/generated/triton.language.atomic_max","python-api/generated/triton.language.atomic_min","python-api/generated/triton.language.atomic_or","python-api/generated/triton.language.atomic_xchg","python-api/generated/triton.language.atomic_xor","python-api/generated/triton.language.broadcast_to","python-api/generated/triton.language.cos","python-api/generated/triton.language.dot","python-api/generated/triton.language.exp","python-api/generated/triton.language.load","python-api/generated/triton.language.log","python-api/generated/triton.language.max","python-api/generated/triton.language.maximum","python-api/generated/triton.language.min","python-api/generated/triton.language.minimum","python-api/generated/triton.language.multiple_of","python-api/generated/triton.language.num_programs","python-api/generated/triton.language.program_id","python-api/generated/triton.language.rand","python-api/generated/triton.language.randint","python-api/generated/triton.language.randint4x","python-api/generated/triton.language.randn","python-api/generated/triton.language.ravel","python-api/generated/triton.language.reshape","python-api/generated/triton.language.sigmoid","python-api/generated/triton.language.sin","python-api/generated/triton.language.softmax","python-api/generated/triton.language.sqrt","python-api/generated/triton.language.store","python-api/generated/triton.language.sum","python-api/generated/triton.language.where","python-api/generated/triton.language.zeros","python-api/generated/triton.testing.Benchmark","python-api/generated/triton.testing.do_bench","python-api/generated/triton.testing.perf_report","python-api/triton","python-api/triton.language","python-api/triton.testing"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["getting-started/installation.rst","getting-started/tutorials/01-vector-add.rst","getting-started/tutorials/02-fused-softmax.rst","getting-started/tutorials/03-matrix-multiplication.rst","getting-started/tutorials/04-low-memory-dropout.rst","getting-started/tutorials/05-layer-norm.rst","getting-started/tutorials/06-fused-attention.rst","getting-started/tutorials/07-libdevice-function.rst","getting-started/tutorials/index.rst","getting-started/tutorials/sg_execution_times.rst","index.rst","programming-guide/chapter-1/introduction.rst","programming-guide/chapter-2/related-work.rst","python-api/generated/triton.Config.rst","python-api/generated/triton.autotune.rst","python-api/generated/triton.heuristics.rst","python-api/generated/triton.jit.rst","python-api/generated/triton.language.arange.rst","python-api/generated/triton.language.atomic_add.rst","python-api/generated/triton.language.atomic_and.rst","python-api/generated/triton.language.atomic_cas.rst","python-api/generated/triton.language.atomic_max.rst","python-api/generated/triton.language.atomic_min.rst","python-api/generated/triton.language.atomic_or.rst","python-api/generated/triton.language.atomic_xchg.rst","python-api/generated/triton.language.atomic_xor.rst","python-api/generated/triton.language.broadcast_to.rst","python-api/generated/triton.language.cos.rst","python-api/generated/triton.language.dot.rst","python-api/generated/triton.language.exp.rst","python-api/generated/triton.language.load.rst","python-api/generated/triton.language.log.rst","python-api/generated/triton.language.max.rst","python-api/generated/triton.language.maximum.rst","python-api/generated/triton.language.min.rst","python-api/generated/triton.language.minimum.rst","python-api/generated/triton.language.multiple_of.rst","python-api/generated/triton.language.num_programs.rst","python-api/generated/triton.language.program_id.rst","python-api/generated/triton.language.rand.rst","python-api/generated/triton.language.randint.rst","python-api/generated/triton.language.randint4x.rst","python-api/generated/triton.language.randn.rst","python-api/generated/triton.language.ravel.rst","python-api/generated/triton.language.reshape.rst","python-api/generated/triton.language.sigmoid.rst","python-api/generated/triton.language.sin.rst","python-api/generated/triton.language.softmax.rst","python-api/generated/triton.language.sqrt.rst","python-api/generated/triton.language.store.rst","python-api/generated/triton.language.sum.rst","python-api/generated/triton.language.where.rst","python-api/generated/triton.language.zeros.rst","python-api/generated/triton.testing.Benchmark.rst","python-api/generated/triton.testing.do_bench.rst","python-api/generated/triton.testing.perf_report.rst","python-api/triton.rst","python-api/triton.language.rst","python-api/triton.testing.rst"],objects:{"triton.Config":{__init__:[13,1,1,""]},"triton.language":{arange:[17,2,1,""],atomic_add:[18,2,1,""],atomic_and:[19,2,1,""],atomic_cas:[20,2,1,""],atomic_max:[21,2,1,""],atomic_min:[22,2,1,""],atomic_or:[23,2,1,""],atomic_xchg:[24,2,1,""],atomic_xor:[25,2,1,""],broadcast_to:[26,2,1,""],cos:[27,2,1,""],dot:[28,2,1,""],exp:[29,2,1,""],load:[30,2,1,""],log:[31,2,1,""],max:[32,2,1,""],maximum:[33,2,1,""],min:[34,2,1,""],minimum:[35,2,1,""],multiple_of:[36,2,1,""],num_programs:[37,2,1,""],program_id:[38,2,1,""],rand:[39,2,1,""],randint4x:[41,2,1,""],randint:[40,2,1,""],randn:[42,2,1,""],ravel:[43,2,1,""],reshape:[44,2,1,""],sigmoid:[45,2,1,""],sin:[46,2,1,""],softmax:[47,2,1,""],sqrt:[48,2,1,""],store:[49,2,1,""],sum:[50,2,1,""],where:[51,2,1,""],zeros:[52,2,1,""]},"triton.testing":{Benchmark:[53,0,1,""],do_bench:[54,2,1,""],perf_report:[55,2,1,""]},"triton.testing.Benchmark":{__init__:[53,1,1,""]},triton:{Config:[13,0,1,""],autotune:[14,2,1,""],heuristics:[15,2,1,""],jit:[16,2,1,""]}},objnames:{"0":["py","class","Python class"],"1":["py","method","Python method"],"2":["py","function","Python function"]},objtypes:{"0":"py:class","1":"py:method","2":"py:function"},terms:{"0":[1,2,3,4,5,6,7,9,11,12,37,38,39,42,52,54],"00":9,"0000":3,"000000":2,"000001":[1,2],"000002":[2,5],"000013":5,"004273":1,"005597":5,"006241":2,"007961":2,"009825":3,"01":[1,3,9],"010":[7,9],"010363":5,"012":[4,9],"02":[2,9],"023256":5,"0249":7,"025776":3,"028308":3,"03":[3,9],"031509":5,"038365":2,"04":[4,9],"042029":5,"0424":7,"05":[5,9],"054":[2,9],"05682v2":6,"06":[6,9],"0625":3,"064941":3,"07":[7,9],"070769":3,"073":[6,9],"08199":4,"08452":4,"084721":1,"092307":5,"0938":3,"097744":3,"098578":5,"0f":12,"0s":4,"1":[1,2,3,4,5,6,10,12,15,37,38,39,42],"10":[1,3,4,5,6,7,39,40,41,42],"100":[2,6,54],"101597":2,"1024":[1,3,4,5,7,14],"10240":5,"102563":5,"1045":3,"1048576":1,"106434":4,"10752":5,"11":[0,1,3,5],"111113":2,"11264":5,"114273":5,"1151":5,"1152":3,"11776":5,"12":[1,3,5],"120002":3,"12160":2,"12288":[2,5],"123":4,"12416":2,"12544":2,"12672":2,"126988":5,"127":1,"128":[1,2,3,5,6,14],"1280":3,"12800":5,"13":[1,3,5],"131072":1,"1328":3,"13312":5,"133312":5,"133347":2,"134217728":1,"13686":4,"13824":5,"138541":3,"14":[1,3,5],"140799":3,"1408":3,"14135v2":6,"142849":[2,5],"142862":2,"142883":5,"14336":5,"147202":3,"14848":5,"149397":4,"15":[1,3,5],"153":2,"1536":[3,5],"15360":5,"153868":5,"154":2,"155572":3,"15872":5,"159518":3,"16":[2,3,5,6,12,52],"160":2,"161033":3,"162":2,"16384":1,"163903":5,"1664":3,"167004":2,"16777216":1,"17":[3,5,9],"171410":5,"177767":5,"17879":4,"1792":3,"179335":3,"18":[3,5],"180982":5,"1823":2,"19":[1,3,5],"190":2,"190482":1,"192":1,"1920":3,"197579":2,"197981":3,"198":2,"1982":12,"1983":11,"1984":12,"198760":3,"1989":12,"199":2,"1991":[11,12],"1999":12,"1d":[1,2,3],"1e":[1,2,3,5],"1s":4,"2":[1,2,3,4,5,6,7,10,12,13,15,37,38,54],"20":[3,5,6,54],"200000":1,"200001":3,"2004":12,"2006":12,"2011":4,"2012":12,"2013":11,"2014":[4,11],"2016":[11,12],"2017":11,"2018":[11,12],"2019":12,"2021":[11,12],"204508":3,"2048":[2,3,5,6],"206879":2,"2097152":1,"21":[3,5],"2112":6,"212868":4,"2141":1,"214186":4,"214870":5,"214877":5,"216187":2,"2176":3,"218":[5,9],"219":1,"22":[3,5],"220":3,"2205":6,"226931":3,"228063":5,"23":[3,5],"2304":3,"237267":5,"237674":3,"24":[3,5],"240508":3,"242181":3,"2432":3,"245":3,"25":[3,5,6,54],"251457":5,"254540":5,"256":[1,2,3,5,13],"2560":[3,5],"257735":3,"26":[3,5],"260869":3,"262144":1,"2656":3,"2688":3,"269882":5,"27":[3,5,9],"271854":5,"277":5,"28":[1,3,5],"2812":3,"2816":3,"2891":3,"29":[3,5],"293315":5,"293429":4,"2944":3,"297068":5,"2d":[3,5,28],"2m":2,"2mn":2,"3":[0,1,2,3,4,5,6,12],"30":[2,3,9],"305746":3,"307030":3,"3072":[3,5],"3076":1,"31":3,"310171":3,"3125":3,"314362":3,"32":[3,5,6,13],"3200":3,"323":5,"326587":3,"32768":1,"327881":5,"3281":3,"33":3,"3328":3,"33554432":1,"337":5,"34":3,"34172":4,"343238":5,"3438":3,"3456":3,"3477":3,"347810":5,"35":3,"350361":3,"3516":3,"3555":3,"357796":5,"3584":[3,5],"359066":2,"36":3,"360017":2,"360920":5,"362":5,"362445":1,"368435":5,"369452":5,"37":[3,5,9],"370":5,"371":5,"3712":3,"3713":1,"371721":4,"372618":3,"372800":3,"373":5,"373605":3,"377":5,"378":5,"379":5,"38":[1,3,9],"380":5,"380953":3,"381":5,"382":5,"383":5,"384":[1,2,3,5],"3840":3,"384000":3,"384185791015625e":7,"386":5,"387087":5,"389":5,"389355":5,"389441":3,"39":3,"3906":3,"392":5,"393":5,"394":5,"395":5,"396":5,"396572":3,"3968":3,"397":5,"398206":3,"3984":3,"3986":4,"398926":3,"3d":[37,38],"3mn":2,"4":[1,2,3,5,6,12,13,14,40],"40":3,"400":5,"400001":1,"400016":[1,2],"402":5,"4023":3,"403344":4,"403347":4,"403381":5,"404":5,"406":[2,5],"4062":3,"407":5,"408":5,"408716":4,"409":5,"4096":[1,2,3,5,6],"41":[1,9],"4105":7,"411":5,"412":[2,5],"413":[2,5],"414053":5,"415087":5,"41576":4,"416":2,"4194304":1,"420":5,"420235":3,"42142":4,"428":5,"428372":4,"428568":1,"428801":3,"429770":[1,2],"430545":3,"431969":4,"433489":5,"446623":3,"447":5,"448255":1,"4492":3,"45":3,"451":5,"4531":3,"454":5,"460287":3,"4608":5,"4609":3,"461":5,"465939":5,"467852":3,"468":5,"4688":3,"47":3,"471":5,"472":1,"473303":5,"477440":3,"477870":5,"48":[3,6],"482":5,"486200":5,"49":3,"492270":5,"492442":3,"494":5,"4940":1,"498981":2,"4m":2,"4x":2,"5":[1,3,4,5,6,12,54],"500":5,"5000":3,"501":5,"502255":5,"503829":3,"504":5,"507":[3,9],"507077":3,"51":3,"511":5,"511426":3,"511515":5,"511628":2,"512":[2,3,4,5],"5120":5,"516":5,"516771":2,"52":3,"520":5,"524288":1,"524944":5,"527536":5,"53":3,"531":5,"5312":3,"532356":3,"534584":5,"5351":7,"539044":3,"54":3,"541":4,"5430":7,"544253":3,"546":[2,5],"551037":5,"558967":5,"559798":5,"5632":5,"563555":3,"564":5,"566038":2,"568431":4,"57":3,"585":[2,5],"5859":3,"586858":4,"587162":5,"5898":3,"59":3,"595879":5,"599981":5,"599991":5,"599996":5,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"600010":5,"601764":5,"603966":2,"604":5,"6094":3,"609561":3,"614":[1,2],"6144":5,"615390":1,"62":3,"624":5,"626943":3,"63":3,"630":5,"631610":5,"634232":5,"636":5,"64":[1,3,6],"640":[2,3],"643199":3,"645399":5,"64kb":5,"651163":5,"653855":3,"655":2,"65536":[1,5],"656574":1,"656711":5,"663823":3,"664":2,"6656":5,"666643":5,"669909":5,"670":5,"67086":4,"67108864":1,"6724":1,"674548":3,"676257":3,"678":5,"68":3,"682":5,"688":5,"69":3,"690":5,"690139":3,"694":5,"694907":5,"6953":3,"7":[0,1,3,5,12],"700":5,"702":5,"7031":3,"704":5,"706":2,"7070":3,"707223":3,"707878":4,"71":3,"712":5,"7168":5,"719258":4,"72":3,"722":[1,2],"725":5,"728":5,"729113":5,"73":3,"730667":3,"737433":3,"737435":1,"743443":4,"7500":3,"754967":2,"756542":3,"76":1,"766291":3,"767055":3,"767108":5,"768":[2,3],"7680":5,"768000":3,"77":3,"773130":3,"78":3,"780":1,"781":2,"791":9,"792965":3,"795186":5,"79719":4,"8":[1,2,3,5,6,12,13,14,52,54],"80":[3,54],"800002":1,"803739":5,"806694":4,"81":3,"810":2,"811":2,"812":[1,2],"814445":5,"814812":3,"8149":7,"817432":4,"8192":[1,5],"82":3,"822991":3,"823517":[1,2],"83":3,"833":1,"833728":3,"837126":3,"838026":4,"8388608":1,"84":3,"842":1,"84284":4,"846167":5,"847":1,"848":1,"849":1,"85":3,"850":1,"854847":2,"859062":5,"86":3,"87":3,"8704":5,"873439":5,"873477":3,"876193":3,"876297":3,"877939":3,"88":3,"8828":3,"885254":5,"8867":3,"89":3,"8906":3,"891575":5,"8945":3,"895043":5,"895397":3,"896":3,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"908442":3,"91":3,"911572":5,"917":[1,9],"9216":5,"9219":3,"925276":2,"929456":3,"93":[2,3],"932191":3,"934503":5,"9375":3,"937800":3,"94":[2,3],"9492":3,"95":[2,3],"952835":4,"9531":3,"96":[2,3],"965524":5,"967074":5,"9688":3,"97":2,"971025":3,"971190":2,"972420":5,"9728":5,"9733":1,"978909":3,"98":2,"9805":3,"983276":3,"98432":[1,7],"9844":3,"997742":5,"998493":3,"999982":5,"999995":1,"abstract":[11,12],"break":12,"byte":2,"case":[1,2,11,12,15,20],"class":[2,5,6,11,12,13,53],"default":54,"do":[2,3,6,11,12,14,18,19,21,22,23,24,25,30,49],"float":[2,6,7,11,12,54],"function":[1,2,3,4,5,6,8,9,12,13,14,15,16,53,54,55],"import":[1,2,3,4,5,6,7,11,12],"int":[1,11,12,15,17,26,37,38,44,52,54],"new":[26,44,52],"return":[1,2,3,4,5,6,14,17,18,19,20,21,22,23,24,25,28,30,32,34,37,38,39,40,41,42,43,50,51,52,54,55],"static":[0,11,12],"super":3,"switch":3,"true":[1,2,3,5,6,28,51],"try":[3,5,6,7,13],"var":[5,12],"voil\u00e0":4,"while":[3,11],A:[3,4,5,11,12],And:[0,3],As:[2,3,4,11,12],At:[4,12],But:4,By:54,For:[3,7,11,12,13],If:[4,12,18,19,21,22,23,24,25,40,49,51,53],In:[1,2,3,4,7,12],It:[1,3,4,8,10,12,14,16],NOT:5,Of:11,On:12,One:3,The:[1,2,3,4,7,11,12,18,19,20,21,22,23,24,25,26,28,37,38,39,40,41,42,44,49,51,55],There:1,These:12,To:[1,4,8,11,12,14],_:5,__expf:2,__init__:[13,53],__nv_asin:7,__nv_asinf:7,__nvasinf:7,_a:5,_attent:6,_bwd_kernel:6,_bwd_preprocess:6,_da:5,_dout:5,_dropout:4,_fwd_kernel:6,_layer_norm_bwd_dwdb:5,_layer_norm_bwd_dx_fus:5,_layer_norm_fwd_fus:5,_matmul:3,_mean1:5,_mean2:5,_mean:5,_seeded_dropout:4,_var:5,a100:[3,6,12],a_arg:5,a_hat:5,a_ptr:3,ab:[1,7],abl:12,about:[1,2,3,4,10],abov:[1,2,3,4,12,14],academ:11,acc:[3,6,11,12],acc_scal:6,acceler:11,access:[1,3,11,12,16],accomod:3,accordingli:12,account:12,accumul:[3,6,12],accuraci:[3,11],achiev:[3,11,12],across:[2,4,11,12],activ:3,actual:[3,11,12],ad:5,add:[1,4,5,9,18],add_kernel:1,addit:[2,8,9,11,54],addition:12,address:[11,30],adopt:12,advanc:[2,3,11],advoc:12,affect:3,affin:12,after:3,against:[0,1,2,3,10],aggreg:7,aggress:[11,12],agnost:[11,12],ahead:12,aim:[2,10],al:[6,11,12],alex:4,algebra:12,algorithm:[3,4,6,11,12],alia:12,all:[2,3,4,7,8,11,12,14,32,34,36,50,53],allclos:[2,3],allen1984:12,allen:12,alloc:[1,2,3,5,11],allow:[1,2,11,12],allow_tf32:28,along:[1,3,32,34,37,38,50,54],alpha:6,also:[1,2,3,4,5,7,11,12],altern:4,alwai:[12,51],amd:[6,11],amen:12,amount:[5,11],ampl:12,an:[1,2,3,4,7,11,12,13,18,19,20,21,22,23,24,25,39,40,41,42],analog:1,analysi:[11,12],analyz:12,ancourt1991:12,ancourt:12,ani:[1,2,3,12,14,15,53],anoth:[2,12],anytim:14,apart:12,apex:5,apex_layer_norm:5,api:53,appear:53,appli:[3,4,5,6,7,11,12,18,19,21,22,23,24,25],applic:[4,12,15],approach:[11,12],appropri:1,approxim:2,ar:[0,1,2,3,4,11,12,13,14,16,30,36,49,51,53],arang:[1,2,3,4,5,6,7],arbitrari:3,arc:7,architectur:[3,11],area:12,arg:[1,2,3,5,6,13,15,16,53],argument:[1,2,3,13,14,15,16,51,53],arrai:[12,52],arrang:3,art:[11,12],artifici:4,arxiv:[6,11,12],asin_kernel:7,asinf:7,ask:2,aspect:12,asplo:11,assert:[1,2,3,4,5,6,7],assert_almost_equ:[5,6],assum:[2,53],asynchron:[1,11],atom:[18,19,20,21,22,23,24,25],attent:[8,9],auguin1983:11,auguin:11,auto:[2,3,12,13,14,15],autograd:[5,6],autom:11,automat:[2,3,7,11,12,13],autotun:[3,12],avail:[0,4,7,11,12],avoid:[2,14,51],awar:11,awkward:4,axi:[1,2,3,4,5,6,7,32,34,37,38,50,53],b:[3,11,12],b_ptr:3,back:[1,2,3,4,5,6],backpropag:4,backward:[5,6],bad:4,baghdadi2021:[11,12],baghdadi:[11,12],balanc:12,bandwidth:2,base:[4,7,10,11,12],baseexcept:6,basic:[1,8,12],batch:6,bc:7,becom:11,been:[1,11,12],befor:[3,13,14,18,19,20,21,22,23,24,25],begin:12,behavior:[12,14],being:[2,4],believ:12,below:[4,8,12],bench:[0,14],bench_flash_attent:6,bench_layer_norm:5,benchmark:[0,5,6,54,55],benefit:[2,11,12],best:[1,11],beta:6,between:[1,7,11],bfloat16:28,bia:5,bit:4,block:[1,2,3,4,6,11,12,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,39,40,41,42,43,45,46,47,48,49,51],block_dmodel:6,block_m:6,block_n:6,block_siz:[1,2,4,5,7,12,14,15],block_size_k:3,block_size_m:[3,5],block_size_n:[3,5],block_start:[1,4,7],blue:[1,2,3,5,6],boil:12,bool:[51,53],both:[7,12,51],bound:[1,2,3,12],branch:12,broad:11,broadcast:[26,30,49,51],buffer:6,bug:6,build:[0,3],built:[1,12],bwd:6,c:[3,11,12],c_mask:3,c_ptr:3,cach:[11,12,30],cache_modifi:30,calcul:7,call:[1,3,7,12,13,16,40],callabl:[1,15,16,54],can:[0,1,2,3,4,7,11,12,14,55],cannot:[3,11,12],capabl:[10,11],causal:6,cd:[0,8],cdiv:[1,3,4,5,6,7],ceil:15,certain:15,cgo:[11,12],challeng:4,chang:[3,4,14,30],chapter:10,characterist:12,cheap:11,check:[3,10],checkpoint:4,chen2018:11,chen:11,chip:[2,6],choic:10,click:[1,2,3,4,5,6,7],clone:[0,5,6],close:12,cmake:0,cmp:20,coalesc:11,code:[1,2,3,4,5,6,7,8,11,12],col:[3,5,6,12],col_offset:2,color:53,column:[2,3],com:[0,5,7],combin:11,come:[2,3,12],command:0,common:12,commonli:12,compar:[2,3,4,5,6,10,12,20],compat:28,compil:[2,3,6,10,11,13,16,36],complet:12,complex:12,compos:[4,11],composit:12,comprehens:[11,12],comput:[4,5,6,7,10,11,12,15,27,29,31,33,35,45,46,47,48],computation:[11,12],concern:12,concis:[1,53],condit:[12,51],config:[3,5,6,14],configur:[3,13,14,55],confirm:2,connectom:11,consecut:12,consequ:11,consid:2,consist:4,constexpr:[1,2,3,4,5,6,7,39,40,41,42,47],constraint:[3,6,12],construct:11,constructor:53,consum:3,contain:[12,20,53],contextu:12,contigu:[3,6,17,43],control:[11,12],conveni:3,convert:[1,3,16],convolut:11,cooper:13,copi:[4,11,20],core:[11,12,39,40,41,42,47],correct:[1,7],correspond:[1,2,3,53],cosin:27,cost:12,could:[2,12],cours:11,cpython:0,creat:[1,2,3,5,11],crucial:4,csv:1,ctx:[5,6],cu_seqlen:6,cubla:[3,11],cuda:[1,2,3,4,5,6,7,11],cudnn:11,cumsum:6,current:38,custom:[1,2,3,10],cut:3,cvpr:11,d:[2,4,6,14,16],d_head:6,d_ptr:6,da:5,dao:6,dart:12,darte1999:12,data:[1,3,4,5,6,7,11,12,18,19,20,21,22,23,24,25,30,51,52],data_ptr:16,dataflow:12,david:4,db:5,db_ref:5,db_tri:5,dbia:5,deal:4,decad:11,decim:5,declar:1,decompos:12,decor:[1,3,14,15,16],decreas:4,dedic:3,deep:[3,4,11,12],def:[1,2,3,4,5,6,7,14,15],defin:[1,2,3,12,30],definit:12,delta:6,denom:6,denomin:2,denot:1,dens:12,depend:[0,8,12,51],deploi:11,describ:[4,12],design:12,desir:[26,44],detail:[3,12],detect:11,develop:[11,12],devic:[1,2,3,5,6,7],dg:5,di:6,dialect:12,dict:[14,15],dictionari:[13,15],diesel:12,differ:[1,2,3,4,7,11,12,14,53],difficult:12,difficulti:[3,11],dijkstra82:12,dijkstra:12,dim:[2,6,12],dimens:[3,28,32,34,50],dimension:[3,12,28],dir:0,direct:3,disjoint:12,disk:1,dissert:12,distribut:[2,4,12],divid:6,divis:3,dk:6,dk_ptr:6,dnn:[10,11,12],do_bench:[1,2,3,5,6],do_ptr:6,do_scal:6,doc:[4,7],doe:[1,2,3,12],doesn:12,domain:[11,12],don:[1,2,3],done:[3,11,32,34,50],dot:[3,6],doubl:7,doubli:3,doubt:12,dout:[5,6],down:[3,12],download:[0,1,2,3,4,5,6,7,8],dp:6,dq:6,dq_ptr:6,dram:[1,2],dropout:[8,9],dror:4,ds:6,dsl:[10,11,12],dtype:[1,2,3,5,6,18,19,20,21,22,23,24,25,30,49,52],dv:6,dv_ptr:6,dw:5,dw_ref:5,dw_tri:5,dweight:5,dx:5,dx_ref:5,dx_tri:5,dy:5,e:[0,2,3,4,8,11,12,52],each:[1,2,3,4,11,12,13,15],earli:14,early_config_prun:14,eas:12,easi:[3,4],easier:[1,2,11],easili:3,ed:[1,3],education:2,effect:12,effici:[3,4,11,41],effort:12,eg:14,either:[1,37,38,51],elango2018:12,elango:12,element:[1,2,3,4,5,27,29,31,32,33,34,35,45,46,47,48,49,50,51,53],element_s:[2,5],element_ti:[18,19,20,21,22,23,24,25,30,49],elementwis:[2,30],els:[3,5,6],emerg:11,empti:[3,5,6],empty_lik:[1,2,4,5,6,7],enabl:12,encod:[7,12],encourag:4,end:[11,12,17],enforc:12,engin:12,enqueu:[1,2,5],ensur:12,entir:12,entri:41,environ:10,ep:5,equal:12,error:3,especi:11,et:[4,6,11,12],euromicro:11,evalu:[3,4,14,51],even:[4,12],evict_first:5,evict_last:[5,6],eviction_polici:[5,6,30,49],evidenc:11,evolv:11,exampl:[1,2,3,4,5,6,7,8,11,12,13],except:[5,6],exchang:24,execut:[9,11,12,13,55],exist:[11,12],exp:[2,6],expect:[2,20],expens:[11,12,15],explor:[4,11],exponenti:[2,29],express:[11,12],extend:[3,4],extern:7,extern_lib:7,extra:1,extras_requir:5,extrem:12,f:[1,2,3,6,7,12],facilit:[11,12],fact:12,fairli:3,fals:[5,6,18,19,21,22,23,24,25,28,30,47,49,51,53,54],far:2,fast:[2,11,12],faster:[2,40],fastest:12,featur:5,feel:3,fetch:11,few:12,field:[11,14],figur:12,file:[1,2,3,9],fill:52,fill_valu:6,fine:4,first:[1,3,4,10,12,28,33,35],first_pid_m:3,firstli:4,fit:2,fix:[6,53],flag:2,flash:6,flash_attn:6,flash_attn_func:6,flash_attn_interfac:6,flatten:43,flexibl:11,float16:[3,5,6,28,52],float32:[1,2,3,4,5,6,28,39,42],flow:[11,12],fly:4,fn:[6,16,54],focu:[3,12],folder:4,follow:[0,2,3,10,11,12],footprint:4,forc:4,forget:1,formal:12,format:12,forward:[5,6],found:20,foundat:12,four:41,fp16:3,fp32:3,frac:4,framework:[11,12],free:3,from:[1,2,3,4,6,7,11,12,30,51],full:[1,2,3,4,5,6,7],fulli:12,func:12,fundament:12,further:[4,12],fuse:[3,5,8,9],fusedlayernorm:5,fusion:[2,12],fwd:6,g:[3,4,11,12,52],galleri:[1,2,3,4,5,6,7,8],gb:[1,2,5],gbp:[1,2,5],gener:[1,2,3,4,5,6,7,8,11,12,39,40,41,42,53],geoffrei:4,geq:12,get:[1,2,3,4,9],girbal2006:12,girbal:12,git:0,github:[0,5],give:11,given:[2,3,4,26,37,38,39,40,41,42,44,52],global:12,go:[1,3,12],good:[1,12],gpgpu:11,gpu:[1,2,4,10,11,12,13,16],grad:[5,6],grad_scale_gain_bias_nam:5,grad_scale_nam:5,grad_to_non:[5,54],gradient:54,grammat:12,graphic:11,greater:2,green:[1,2,3,5],grid:[1,2,3,4,5,6,7,37,38],grid_m:3,grid_n:3,grosser2012:12,grosser:12,group:3,group_id:3,group_m:3,group_size_m:3,grow:12,guard:[1,2],guid:[7,11],h:6,ha:[1,3,4,11,12,37,38],had:1,half:6,halid:[11,12],hand:12,handl:[1,2,4,12],handwritten:11,hard:3,harder:12,hardwar:[3,10,12],has_apex:5,has_flash:6,hasattr:5,hasn:1,have:[2,4,6,11,12,16,28,51,53],head:6,heavi:11,helper:[1,2],henc:3,here:[1,2,3,4,5,6,7],heurist:[2,5],hierarch:11,hierarchi:12,high:[3,11,12],higher:3,highli:11,highlight:12,hint:12,hinton:4,hit:3,how:[1,2,3,10,11,15],howev:[2,12],html:[4,7],http:[0,4,5,6,7],i:[1,2,3,4,5,6,11,12],id:[3,38],idea:11,ideal:2,ident:2,identifi:1,idx:[18,19,21,22,23,24,25,30,49],ieee_round:47,ilya:4,imag:[11,12],immedi:6,implement:[1,2,3,4,6,11,12],implicitli:[1,16,30,49],importantli:12,impos:12,improv:[3,4],incompat:[3,12],incorrect:3,increas:[1,2,3,4],incred:11,increment:[6,12],inde:12,independ:[2,12],index:[1,7],indic:[12,51],induc:12,industri:11,inequ:12,inf:[2,6],inform:12,infrastructur:12,initi:[1,3,6],inner:[3,28],inplac:3,input:[1,2,3,4,5,7,12,14,15,26,27,28,29,31,32,33,34,35,36,43,44,45,46,47,48,50],input_ptr:2,input_row_strid:2,instal:[8,10],instanc:[1,2,3,4,11,13,37,38],instanti:4,instead:[2,51],instruct:[10,11],int1:[18,19,21,22,23,24,25,30,49],int32:[4,6,40,41],integ:12,interchang:12,interest:[11,12],intermedi:12,intern:[2,12],interv:17,intrins:12,introduc:4,introduct:10,invari:[2,12],invoc:4,invok:7,ipynb:[1,2,3,4,5,6,7],ir:12,irregular:[2,12],is_contigu:[3,4,5],is_cuda:[1,7],isn:3,issu:[11,12],iter:[3,11,12],its:[1,2,3,12,14],j:[3,5,11,12],jit:[1,2,3,4,5,6,7,14,15],jmlr:4,john:4,johnson:4,journal:12,jrk2013:11,jupyt:[1,2,3,4,5,6,7,8],just:[3,12,15],k:[3,4,6,11,12],k_ptr:6,kb:11,keep:4,kei:[3,11,14],kellei:11,kernel:[4,5,10,11,13,14,15],keyword:[1,13],ki:12,kind:2,know:36,known:12,krizhevski:4,kwarg:[13,16],l:6,l_i:6,l_i_new:6,l_ij:6,l_ptr:6,label:[1,2,3,53],lam1991:11,lam:11,lambda:[1,2,3,4,5,6,7,15],languag:[1,2,3,4,5,6,7,10,11,16],larg:[11,12],last:3,later:[2,12],latest:0,lattner2004:12,lattner2019:12,lattner:12,launch:[1,2,3,37,38],law:12,layer:[8,9,11,12],layer_norm:5,layernorm:5,lead:[4,11,12],leaky_relu:3,leakyrelu:3,learn:[1,2,3,4,10,11,12],least:12,lee2017:11,lee:11,left:12,legal:12,length:[1,6],less:[4,5,11,12],let:[1,2,4,36],letter:12,level:[3,11,12],li:11,libdevic:[8,9],librari:[0,3,11,12],lifelong:12,like:[1,4,6,11,12,40],limit:[2,4],lindenstrauss:4,line:[1,2,3,4,12,53],line_arg:[1,2,3,5,6,53],line_nam:[1,2,3,5,6,53],line_v:[1,2,3,5,6,53],linear:[11,12],link:0,list:[1,3,14,15,53,54,55],litteratur:12,lk:6,ll:4,llvm11:0,llvm:[0,12],lo:6,load:[1,2,3,4,5,6,7,12,51],local:[7,11,12],locat:[3,18,19,20,21,22,23,24,25,30,49],log2:15,log:53,logarithm:[1,31],logic:[19,23,25],look:[4,10,11],loop:[3,6,12,13],low:[8,9,12],lq:6,lv:6,m:[0,2,3,5,6,11],m_i:6,m_i_new:6,m_ij:6,m_ptr:6,machin:[11,12],machineri:[11,12],made:11,mai:[2,12,15],main:[3,11,12],maintain:[2,12],major:[3,12],make:[1,2,11,12],manag:[4,11],mani:[11,12],manual:[2,12],manual_se:[1,2,3,5,6,7],map:3,mapl:12,mark:[4,6,55],markedli:11,mask:[1,2,3,4,5,7,18,19,21,22,23,24,25,30,49,51],match:[3,20],math:15,mathbb:12,mathbf:12,mathcal:[12,42],mathemat:12,matmul:[3,6,12],matmul_kernel:3,matric:[2,3],matrix:[2,4,8,9,11,12,13,28],matrix_s:12,matter:[3,11,12],max:[1,2,5,6,7,21],max_fused_s:5,max_m:[1,2,3,5],maxim:[5,10,12,41],maximum:[1,2,6,7,32],mb:[9,11],mean1:5,mean2:5,mean:[3,5,6,12,14],mechan:[2,12],median:54,memori:[1,2,3,8,9,11,12,18,19,20,21,22,23,24,25,30,49,51],mention:3,meta:[1,2,3,4,5,7,13,14,15],metaparamet:1,method:[12,13,16,53,55],methodolog:12,micro:11,min:[3,5,22],min_m:[1,2,3,5],minimum:34,minut:[1,2,3,4,5,6,7],miss:12,mitig:12,ml:11,mlir:12,mn:2,mode:[5,6],model:[1,11,12,14],modern:[3,10,11,12],modular:12,modulenotfounderror:5,moment:6,moor:12,mora:4,more:[2,3,4,10,11,12,53],most:[3,12],mostli:13,move:3,movement:4,ms:[1,2,3,5,6,54],much:[2,3],mullapudi2016:12,mullapudi:12,multi:[3,11,12],multipl:[1,4,8,9,11,12,13,14,36,40],multiple_of:6,multipli:[3,4,5,12,28],must:[2,3,17,28,51],n:[2,3,5,11,42],n_col:2,n_ctx:6,n_element:[1,4,7],n_head:6,n_round:[39,40,41,42],n_row:2,naiv:[2,4],naive_softmax:2,name:[1,2,3,14,15,53],nativ:[1,2,3],natur:[2,11,31],nb:11,necessari:2,need:[1,2,3,4,40],nelement:2,nest:[3,12],net:12,network:[4,11,12],neural:[4,11,12],neurosci:11,never:4,newdo:6,next:[2,3],next_power_of_2:[2,5],nightli:0,nip:11,nitish:4,nn:[3,5],non:11,none:[2,3,5,6,13,14,18,19,21,22,23,24,25,30,49,53,54],nonzero:51,norm:[4,5,9],normal:[2,6,8,9],normal_:6,normalized_shap:5,note:[0,1,2,3,4,6,12,14,16,51],notebook:[1,2,3,4,5,6,7,8],notic:[2,12],notori:[3,11],novel:11,now:[1,3],num_block:6,num_pid_in_group:3,num_pid_m:3,num_pid_n:3,num_stag:[3,6,13,14],num_warp:[2,3,5,6,13,14],number:[1,2,3,4,5,12,13,14,37,39,40,41,42],numcol:5,numel:[1,4,5,7],numer:[2,11],numrow:5,nvidia:[5,7,11,30],nvvm:7,o:[2,4,6],object:[1,3,11,13,14,16,18,19,20,21,22,23,24,25],obtain:1,obvious:2,occup:5,occur:12,off:5,off_h:6,off_hz:6,off_k:6,off_m:6,off_n:6,off_o:6,off_q:6,off_v:6,off_z:6,offer:11,offici:0,offs_am:3,offs_bn:3,offs_cm:3,offs_cn:3,offs_d:6,offs_k:[3,6],offs_m:6,offs_m_curr:6,offs_n:6,offs_qm:6,offset:[1,4,6,7,39,40,41,42],often:3,omega:12,onc:[2,11,12],one:[2,3,4,8,11,12,53],ones:6,onli:[2,3,4,6,11,12,16],op:[1,2],open:17,openai:0,opencl:11,oper:[1,2,3,4,7,8,11,18,19,20,21,22,23,24,25,51],opportun:11,opsila:11,optim:[11,12],option:[3,14,18,19,21,22,23,24,25,30,49,53,54],orang:5,order:[2,3,8,12],org:[4,6],origin:12,osdi:11,other:[2,3,4,5,10,12,16,28,30,33,35],otherwis:[4,51],our:[1,2,3,11],out:[1,2,3,4,5,6,7,10,12],out_ptr:6,outlin:12,output2:4,output3:4,output:[1,2,3,4,5,6,7],output_ptr:[1,2,4],output_row_start_ptr:2,output_row_strid:2,output_torch:[1,7],output_triton:[1,7],over:[2,4,6,11,12],overfit:4,overflow:2,own:3,p:[4,6,12],p_scale:6,pa:3,packag:16,pact:12,pad:2,par:3,paradigm:[11,12],paragraph:4,parallel:[1,2,3,4,5,10,11,12,13],paralleliz:11,param:15,paramet:[1,3,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55],parametr:[6,11],part:[3,4,12],partial:5,particular:[2,3],particularli:[11,12],partit:11,pass:[1,5,7,12,13],past:[11,12],path:1,pattern:11,pb:3,pdf:6,peak:12,per:[2,4,5],percentil:[6,54],perf:3,perf_model:14,perf_report:[1,2,3,5,6,53],perform:[1,2,4,11,12,14,18,19,20,21,22,23,24,25,54],persist:4,person:12,perspect:12,phase:12,philosophi:12,philox:[4,41],pid:[1,3,4,5,7],pid_m:3,pid_n:3,pip:[0,8],pipelin:[11,12,13],platform:[10,12],pldi:11,pleas:7,plot:[0,1,2,3,53],plot_nam:[1,2,3,5,6,53],pmatrix:12,point:[1,12,41],pointer:[1,2,4,6,16,18,19,20,21,22,23,24,25,30,49],pointerdtyp:[18,19,20,21,22,23,24,25,30,49],polli:12,polyhedr:11,polyhedra:12,popular:12,portabl:[11,12],pose:11,posit:[5,15],possibl:[1,2,3,12,13],power:[2,4,12,15,17],ppopp:12,practic:[1,2,3,11],pragma:11,pre:[0,6,11],pre_hook:13,prealloc:1,predic:14,predict:12,prefer:2,premis:11,present:0,preserv:12,preserve_rng_st:4,prevent:[4,12],primer:12,primit:[11,16],princip:7,principl:12,print:[1,3,4,7],print_data:[1,2,3,5,6],prng:4,probabl:[4,12],problem:1,problemat:12,procedur:12,process:[1,5,11,12],processor:11,produc:[3,4],product:[10,12,28],program:[1,2,3,4,5,10,11,37,38],program_id:[1,2,3,4,5,6,7],programm:[11,12],prohibitev:15,project:[4,11],promot:[3,12],properli:2,properti:12,propos:11,proprietari:3,provid:[1,2,3,4,5,6,10,12,14,32,34,50,54],prune:[4,14],prune_configs_bi:14,pseudo:[3,4,41],pseudorandom:4,ptr:3,ptx:30,purpos:[11,12],push:12,put:4,py:[0,1,2,3,4,5,6,7,9],pypi:[0,5],pytest:[0,6],python:[1,2,3,4,5,6,7,8,16],pytorch:[1,2,4],q:6,q_ptr:6,qk:6,qkv:6,qquad:12,quantiti:6,r:2,rabe:6,ragan:11,rand:[1,4,5,7],randint4x:40,randn:[2,3,4,5,6],randn_lik:[5,6],random:[4,39,40,41,42],randomli:4,rang:[1,2,3,5,6,11,12],rapidli:[11,12],rate:3,rather:11,raw:1,rdom:12,re:[1,3],read:[2,3,8],reader:12,real:11,reason:12,recent:11,recommend:8,recomput:[4,6,11],record_clock:54,rectifi:11,red:6,redmon2016:11,redmon:11,reduct:[2,5,32,34,50],ref_dk:6,ref_dq:6,ref_dv:6,ref_out:6,refer:[1,6,7],regard:7,regardless:[4,51],regim:4,regist:6,regrett:11,regular:[4,12],rel:[1,12],relat:10,releas:[0,11],reli:12,relu:3,remain:[11,53],remateri:6,rememb:3,reorder:12,rep:[5,6,54],repetit:54,repres:[2,3,12,13],requir:[2,4,12],requires_grad:[5,6],requires_grad_:[5,6],research:[11,12],reset:[14,54],reset_to_zero:14,reshap:5,resolut:12,resourc:11,resp:12,respect:12,restrict:12,result:[0,1,2,11,12],ret:2,retain_graph:[5,6],retriev:12,reus:3,revisit:11,right:12,rise:12,role:12,ron:4,root:48,roughli:3,row:[2,3,4,5,6],row_idx:2,row_minus_max:2,row_start_ptr:2,rstd:5,run:[0,1,2,3,4,5,6,7,10,12,14,16,55],runtim:[12,54],ruslan:4,rvar:12,s:[1,2,4,5,12,41],said:12,salakhutdinov:4,salmon2011:4,salmon:4,same:[4,7,11,53],sato2019:12,sato:12,save:[1,2,3,6],save_for_backward:[5,6],save_path:[1,5,6],saved_tensor:[5,6],sc:12,scalabl:12,scalar:[4,11,28,39,40,41,42,52],scale:[6,53],scan:12,schedul:11,scienc:12,scientif:12,scop:12,scope:12,scratchpad:6,script:[0,1,2,3,4,5,6,7],second:[1,2,3,4,5,6,7,12,28,33,35],secondli:4,section:[3,12],see:[1,2,3,4,6,12],seed:[39,40,41,42],seeded_dropout:4,seem:[1,12],select:[7,11,12,51],self:[13,53],semant:[7,12],semi:12,sens:[1,11,12],separ:12,seq:6,sequenc:11,set:[1,4,12],setup:[0,5],sever:[11,12],shall:12,shape:[1,2,3,4,5,6,12,26,30,44,49,51,52],share:11,shaw:4,shift:2,should:[1,3,5,11,12,13,32,34,50,53],show_plot:[1,2,3],shown:12,side:12,sight:12,signal:11,significantli:2,sigplan:12,simd:11,simpl:[1,2,3,4],simplest:8,simpli:[7,12],simplic:3,simplifi:4,sinc:[1,2,3],sine:[7,46],singl:[2,4,11,40],size:[1,2,4,7,12],slower:[11,12],slowest:12,sm80:13,sm:12,sm_scale:6,small:5,smaller:[3,4],smallest:[2,15],snemi3d:11,so:[1,2,3,4,5,12],softmax:[4,6,8,9],softmax_kernel:2,softmax_output:2,softwar:13,solid:12,solut:3,solv:12,some:3,sometim:12,sourc:[1,2,3,4,5,6,7,8,12],space:[11,12],spars:[4,11,12],spatial:12,speak:3,special:11,specif:[3,11],specifi:[12,15,18,19,20,21,22,23,24,25,49],speed:2,sphinx:[1,2,3,4,5,6,7,8],split:12,spmd:[1,11,12],sqrt:5,squar:48,sram:[2,3,5,6],srivastava2014:4,srivastava:4,staat:6,stabil:2,stabl:0,stage:13,stai:6,standard:12,start:[8,17],start_m:6,start_n:6,started_tutori:9,state:[4,11,12],statement:12,staticmethod:[5,6],std:6,step:12,still:[1,2,3,12],stop:17,store:[1,2,3,4,5,6,7,18,19,20,21,22,23,24,25,51],str:[14,15,30,53],straightforward:3,strategi:[4,12],stream:[5,40],strength:11,stride:[2,3,4,5,6],stride_ak:3,stride_am:3,stride_bk:3,stride_bn:3,stride_cm:3,stride_cn:3,stride_kh:6,stride_kk:6,stride_kn:6,stride_kz:6,stride_oh:6,stride_om:6,stride_on:6,stride_oz:6,stride_qh:6,stride_qk:6,stride_qm:6,stride_qz:6,stride_vh:6,stride_vk:6,stride_vn:6,stride_vz:6,stride_xi:3,stride_xj:3,structur:[11,12],style:[1,2,3,5,6,53],subscript:12,substanti:11,substract:2,subtract:2,successfulli:12,suffer:12,suit:11,sum:[1,2,5,6],sum_db:5,sum_dw:5,superhuman:11,support:[4,12],sure:2,surprisingli:11,surround:12,suspicion:2,sutskev:[4,11],sutskever2014:11,swap:20,swizzl:11,synchron:[1,11],system:[0,3,11,12],t:[1,2,3,6,12],t_:12,t_ptr:6,tabul:4,taco:12,take:[3,4,10,14,15],taken:12,target:11,techniqu:[11,12],temperatur:4,tempor:12,tend:12,tension:11,tensor:[1,2,3,4,5,7,11,12,14,16,26,28,30,32,33,34,35,43,44,49,50,51,52,54],tensorrt:11,test:[0,1,5,6,10],test_layer_norm:5,test_op:6,text:12,tflop:3,th:54,than:[2,3,5,11,12,40,53],thei:[3,11,12],them:1,themselv:3,theoret:2,therebi:12,therefor:3,theta:12,theta_:12,thi:[1,2,3,4,5,6,7,11,12,13,14,15,16,41,53],thing:[1,4],think:2,those:2,though:[11,12],thought:12,thread:[2,11,13],through:[8,12],throughout:[6,12,53],throughput:10,tile:12,time:[0,1,2,3,4,5,6,7,11,12,14,40,54],tiramisu:[11,12],tl:[1,2,3,4,5,6,7,52],tmp:[0,6],tog:12,togeth:[4,7],tolist:4,top_k:14,topic:12,torch:[1,2,3,4,5,6,7,16,54],torch_output:3,torch_relu:3,total:[1,2,3,4,5,6,7,9],tradit:[4,11,12],trans_a:[6,28],trans_b:[6,28],transform:[4,12],transpos:6,travers:12,trend:11,tri:[26,44],tri_dk:6,tri_dq:6,tri_dv:6,tri_out:6,trick:2,tricki:4,trigger:[3,14],tril:6,trition:7,triton:[0,1,2,3,4,5,6,7,8,11,12],triton_output:3,trivial:11,tune:[2,3,12,14,15],tuner:13,tupl:[1,26,44,52],tutori:[1,2,3,4,10],tutorials_jupyt:8,tutorials_python:8,tvm:[11,12],two:[1,2,3,12,14,15,17,28],type:[7,15,28,30,51,52],typecast:[30,49],typic:12,u:[0,39],un:12,uncommon:12,underli:7,underneath:12,understand:2,undesir:14,unfortun:[3,12],unifi:11,uniformli:4,unint:51,unit:[0,11],univers:12,unrol:[5,12],up:2,updat:[3,6,12,14],us:[1,2,3,4,5,11,12,13,14,15,16,40,51,53,55],user:7,usr:7,util:[1,5],v100:12,v:6,v_ptr:6,val:[18,19,20,21,22,23,24,25],valid:1,valu:[1,2,3,4,6,7,14,15,17,18,19,20,21,22,23,24,25,27,29,30,31,32,34,36,45,46,47,48,49,50,51,52,53,55],valuabl:2,vari:6,variabl:[3,13],varianc:5,variant:11,variou:8,vasilach:[11,12],vasilache2018:[11,12],vast:12,vec:12,vector:[4,8,9,11,12],vendor:3,veri:[2,4,12],verif:12,verifi:[2,12],via:12,view:43,visibl:12,vision:11,volatil:30,vs:0,w:12,w_shape:5,wa:4,wai:[2,3,4],want:[2,4,51],warmup:[6,54],warp:[2,5,13],wast:2,wdout:5,we:[1,2,3,4,7,11,12],weight:5,well:[4,11,12],whatev:14,wheel:0,when:[2,3,4,11,12,13,14,16,51],where:[1,3,4,5,6,12,15,49],whether:[11,53],which:[1,2,3,4,11,12,14,32,34,50,53],whose:[1,2,3,4,12,14,30],wide:12,wise:[1,2,6,27,29,31,33,35,45,46,47,48,49],wish:[3,12],within:[3,16,17],without:12,wolf:12,wolfe1989:12,won:2,word:12,work:[2,4,6,10,11],workaround:6,workload:[3,13],wors:[3,11,12],would:[1,2,4],wouldn:12,wrapper:3,write:[1,2,3,4,5,6,8,10,12],wrote:2,x:[1,2,3,4,5,7,12,27,29,31,33,35,43,45,46,47,48,51,53],x_arg:5,x_keep:4,x_keep_ptr:4,x_log:[1,53],x_max:2,x_name:[1,2,3,5,6,53],x_ptr:[1,4,7,14,15],x_shape:5,x_size:[14,15],x_val:[1,2,3,5,6,53],xi:12,xii:12,xlabel:53,xo:12,xor:25,y:[1,2,3,5,12,33,35,51,53],y_fwd:5,y_log:53,y_name:[1,2],y_ptr:[1,7],y_ref:5,y_torch:2,y_tri:5,y_triton:2,year:12,yet:[11,12],yi:12,yield:51,yii:12,ylabel:[1,2,3,5,6,53],yo:12,you:[0,1,2,3,4,7,8,11,14,40,51],your:[0,1,10],yourself:[2,3],z:[1,2,6,12],zero:[3,4,5,6,7,14],zeros_lik:6,zip:8},titles:["Installation","Vector Addition","Fused Softmax","Matrix Multiplication","Low-Memory Dropout","Layer Normalization","Fused Attention","Libdevice function","Tutorials","Computation times","Welcome to Triton\u2019s documentation!","Introduction","Related Work","triton.Config","triton.autotune","triton.heuristics","triton.jit","triton.language.arange","triton.language.atomic_add","triton.language.atomic_and","triton.language.atomic_cas","triton.language.atomic_max","triton.language.atomic_min","triton.language.atomic_or","triton.language.atomic_xchg","triton.language.atomic_xor","triton.language.broadcast_to","triton.language.cos","triton.language.dot","triton.language.exp","triton.language.load","triton.language.log","triton.language.max","triton.language.maximum","triton.language.min","triton.language.minimum","triton.language.multiple_of","triton.language.num_programs","triton.language.program_id","triton.language.rand","triton.language.randint","triton.language.randint4x","triton.language.randn","triton.language.ravel","triton.language.reshape","triton.language.sigmoid","triton.language.sin","triton.language.softmax","triton.language.sqrt","triton.language.store","triton.language.sum","triton.language.where","triton.language.zeros","triton.testing.Benchmark","triton.testing.do_bench","triton.testing.perf_report","triton","triton.language","triton.testing"],titleterms:{"default":7,"final":3,"function":7,addit:1,advantag:12,algebra:57,api:10,arang:17,arithmet:3,asin:7,atom:57,atomic_add:18,atomic_and:19,atomic_ca:20,atomic_max:21,atomic_min:22,atomic_or:23,atomic_xchg:24,atomic_xor:25,attent:6,autotun:14,baselin:4,benchmark:[1,2,3,53],binari:0,broadcast_to:26,cach:3,challeng:11,co:27,comparison:57,compil:[12,57],comput:[1,2,3,9],config:13,creation:57,custom:7,distribut:0,do_bench:54,document:10,dot:28,dropout:4,exercis:4,exp:29,from:0,further:10,fuse:[2,6],gener:57,get:10,go:10,heurist:15,hint:57,index:57,instal:0,introduct:11,jit:16,kernel:[1,2,3,7],l2:3,languag:[12,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,57],layer:5,libdevic:7,librari:7,limit:12,linear:57,load:30,log:31,low:4,manipul:57,math:57,matrix:3,max:32,maximum:33,memori:[4,57],min:34,minimum:35,model:57,motiv:[2,3,11],multipl:3,multiple_of:36,normal:5,num_program:37,number:57,op:57,optim:3,packag:0,path:7,perf_report:55,perform:3,pointer:3,polyhedr:12,program:[12,57],program_id:38,python:[0,10],rand:39,randint4x:41,randint:40,randn:42,random:57,ravel:43,reduct:57,refer:[4,11,12],relat:12,represent:12,reshap:44,result:3,s:10,schedul:12,seed:4,shape:57,sigmoid:45,sin:46,softmax:[2,47],sourc:0,sqrt:48,squar:3,start:10,store:49,sum:50,test:[2,3,53,54,55,58],time:9,triton:[10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58],tutori:8,unit:[2,3],us:7,vector:1,welcom:10,where:51,work:12,zero:52}})
\ No newline at end of file
+Search.setIndex({docnames:["getting-started/installation","getting-started/tutorials/01-vector-add","getting-started/tutorials/02-fused-softmax","getting-started/tutorials/03-matrix-multiplication","getting-started/tutorials/04-low-memory-dropout","getting-started/tutorials/05-layer-norm","getting-started/tutorials/06-fused-attention","getting-started/tutorials/07-libdevice-function","getting-started/tutorials/index","getting-started/tutorials/sg_execution_times","index","programming-guide/chapter-1/introduction","programming-guide/chapter-2/related-work","python-api/generated/triton.Config","python-api/generated/triton.autotune","python-api/generated/triton.heuristics","python-api/generated/triton.jit","python-api/generated/triton.language.arange","python-api/generated/triton.language.atomic_add","python-api/generated/triton.language.atomic_and","python-api/generated/triton.language.atomic_cas","python-api/generated/triton.language.atomic_max","python-api/generated/triton.language.atomic_min","python-api/generated/triton.language.atomic_or","python-api/generated/triton.language.atomic_xchg","python-api/generated/triton.language.atomic_xor","python-api/generated/triton.language.broadcast_to","python-api/generated/triton.language.cos","python-api/generated/triton.language.dot","python-api/generated/triton.language.exp","python-api/generated/triton.language.load","python-api/generated/triton.language.log","python-api/generated/triton.language.max","python-api/generated/triton.language.maximum","python-api/generated/triton.language.min","python-api/generated/triton.language.minimum","python-api/generated/triton.language.multiple_of","python-api/generated/triton.language.num_programs","python-api/generated/triton.language.program_id","python-api/generated/triton.language.rand","python-api/generated/triton.language.randint","python-api/generated/triton.language.randint4x","python-api/generated/triton.language.randn","python-api/generated/triton.language.ravel","python-api/generated/triton.language.reshape","python-api/generated/triton.language.sigmoid","python-api/generated/triton.language.sin","python-api/generated/triton.language.softmax","python-api/generated/triton.language.sqrt","python-api/generated/triton.language.store","python-api/generated/triton.language.sum","python-api/generated/triton.language.where","python-api/generated/triton.language.zeros","python-api/generated/triton.testing.Benchmark","python-api/generated/triton.testing.do_bench","python-api/generated/triton.testing.perf_report","python-api/triton","python-api/triton.language","python-api/triton.testing"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["getting-started/installation.rst","getting-started/tutorials/01-vector-add.rst","getting-started/tutorials/02-fused-softmax.rst","getting-started/tutorials/03-matrix-multiplication.rst","getting-started/tutorials/04-low-memory-dropout.rst","getting-started/tutorials/05-layer-norm.rst","getting-started/tutorials/06-fused-attention.rst","getting-started/tutorials/07-libdevice-function.rst","getting-started/tutorials/index.rst","getting-started/tutorials/sg_execution_times.rst","index.rst","programming-guide/chapter-1/introduction.rst","programming-guide/chapter-2/related-work.rst","python-api/generated/triton.Config.rst","python-api/generated/triton.autotune.rst","python-api/generated/triton.heuristics.rst","python-api/generated/triton.jit.rst","python-api/generated/triton.language.arange.rst","python-api/generated/triton.language.atomic_add.rst","python-api/generated/triton.language.atomic_and.rst","python-api/generated/triton.language.atomic_cas.rst","python-api/generated/triton.language.atomic_max.rst","python-api/generated/triton.language.atomic_min.rst","python-api/generated/triton.language.atomic_or.rst","python-api/generated/triton.language.atomic_xchg.rst","python-api/generated/triton.language.atomic_xor.rst","python-api/generated/triton.language.broadcast_to.rst","python-api/generated/triton.language.cos.rst","python-api/generated/triton.language.dot.rst","python-api/generated/triton.language.exp.rst","python-api/generated/triton.language.load.rst","python-api/generated/triton.language.log.rst","python-api/generated/triton.language.max.rst","python-api/generated/triton.language.maximum.rst","python-api/generated/triton.language.min.rst","python-api/generated/triton.language.minimum.rst","python-api/generated/triton.language.multiple_of.rst","python-api/generated/triton.language.num_programs.rst","python-api/generated/triton.language.program_id.rst","python-api/generated/triton.language.rand.rst","python-api/generated/triton.language.randint.rst","python-api/generated/triton.language.randint4x.rst","python-api/generated/triton.language.randn.rst","python-api/generated/triton.language.ravel.rst","python-api/generated/triton.language.reshape.rst","python-api/generated/triton.language.sigmoid.rst","python-api/generated/triton.language.sin.rst","python-api/generated/triton.language.softmax.rst","python-api/generated/triton.language.sqrt.rst","python-api/generated/triton.language.store.rst","python-api/generated/triton.language.sum.rst","python-api/generated/triton.language.where.rst","python-api/generated/triton.language.zeros.rst","python-api/generated/triton.testing.Benchmark.rst","python-api/generated/triton.testing.do_bench.rst","python-api/generated/triton.testing.perf_report.rst","python-api/triton.rst","python-api/triton.language.rst","python-api/triton.testing.rst"],objects:{"triton.Config":{__init__:[13,1,1,""]},"triton.language":{arange:[17,2,1,""],atomic_add:[18,2,1,""],atomic_and:[19,2,1,""],atomic_cas:[20,2,1,""],atomic_max:[21,2,1,""],atomic_min:[22,2,1,""],atomic_or:[23,2,1,""],atomic_xchg:[24,2,1,""],atomic_xor:[25,2,1,""],broadcast_to:[26,2,1,""],cos:[27,2,1,""],dot:[28,2,1,""],exp:[29,2,1,""],load:[30,2,1,""],log:[31,2,1,""],max:[32,2,1,""],maximum:[33,2,1,""],min:[34,2,1,""],minimum:[35,2,1,""],multiple_of:[36,2,1,""],num_programs:[37,2,1,""],program_id:[38,2,1,""],rand:[39,2,1,""],randint4x:[41,2,1,""],randint:[40,2,1,""],randn:[42,2,1,""],ravel:[43,2,1,""],reshape:[44,2,1,""],sigmoid:[45,2,1,""],sin:[46,2,1,""],softmax:[47,2,1,""],sqrt:[48,2,1,""],store:[49,2,1,""],sum:[50,2,1,""],where:[51,2,1,""],zeros:[52,2,1,""]},"triton.testing":{Benchmark:[53,0,1,""],do_bench:[54,2,1,""],perf_report:[55,2,1,""]},"triton.testing.Benchmark":{__init__:[53,1,1,""]},triton:{Config:[13,0,1,""],autotune:[14,2,1,""],heuristics:[15,2,1,""],jit:[16,2,1,""]}},objnames:{"0":["py","class","Python class"],"1":["py","method","Python method"],"2":["py","function","Python function"]},objtypes:{"0":"py:class","1":"py:method","2":"py:function"},terms:{"0":[1,2,3,4,5,6,7,9,11,12,37,38,39,42,52,54],"00":9,"0000":3,"000000":2,"000001":[1,2],"000002":2,"000013":5,"002605":5,"004273":1,"007961":2,"009825":3,"01":[1,3,9],"011":[7,9],"012":[4,9],"019048":3,"019675":3,"02":[2,9],"023256":5,"0249":7,"025776":3,"028308":3,"03":[3,9],"031509":5,"035062":3,"04":[4,9],"0424":7,"044224":3,"05":[5,9],"05682v2":6,"06":[6,9],"060049":3,"0625":3,"064941":3,"07":[7,9],"074685":3,"075":[6,9],"08199":4,"08452":4,"084721":1,"092307":5,"0938":3,"096096":3,"098578":5,"0f":12,"0s":4,"1":[1,2,3,4,5,6,10,12,15,37,38,39,42],"10":[1,3,4,5,6,7,39,40,41,42],"100":[2,6,54],"1024":[1,3,4,5,7,14],"10240":5,"1045":3,"1048576":1,"106434":4,"10752":5,"108913":3,"11":[0,1,3,5,9],"111115":5,"11264":5,"114273":5,"1151":5,"1152":3,"116833":5,"11776":5,"12":[1,3,5],"12160":2,"12288":[2,5],"123":4,"12416":2,"12544":2,"12672":2,"126988":5,"127":1,"128":[1,2,3,5,6,14],"1280":3,"12800":5,"13":[1,3,5],"131072":1,"1328":3,"13312":5,"133312":5,"133347":2,"134217728":1,"13686":4,"13824":5,"138541":3,"14":[1,3,5],"140799":3,"1408":3,"14135v2":6,"142849":5,"142862":2,"142883":5,"14336":5,"147202":3,"14848":5,"149375":2,"149397":4,"15":[1,3,5],"153":2,"1536":[3,5],"15360":5,"153868":5,"154":2,"15872":5,"16":[2,3,5,6,12,52],"160":2,"161033":3,"162":2,"16384":1,"1664":3,"16777216":1,"17":[3,5,9],"171410":5,"173427":5,"177767":5,"17879":4,"1792":3,"179533":2,"18":[3,5,9],"180982":5,"181817":2,"1823":2,"186":2,"19":[1,3,5],"190482":1,"192":1,"1920":3,"197315":3,"197579":2,"198":2,"198054":5,"1982":12,"1983":11,"1984":12,"1989":12,"199":2,"1991":[11,12],"1999":12,"1d":[1,2,3],"1e":[1,2,3,5],"1s":4,"2":[1,2,3,4,5,6,7,10,12,13,15,37,38,54],"20":[3,5,6,54],"200000":1,"200001":3,"2004":12,"2006":12,"2011":4,"2012":12,"2013":11,"2014":[4,11],"2016":[11,12],"2017":11,"2018":[11,12],"2019":12,"2021":[11,12],"2048":[2,3,5,6],"206879":2,"2097152":1,"21":[3,5],"2112":6,"211821":3,"212868":4,"2141":1,"214186":4,"214877":5,"216187":2,"216905":5,"2176":3,"219":1,"22":[3,5],"220":3,"2205":6,"225175":5,"228063":5,"23":[3,5],"2304":3,"230403":3,"237267":5,"238096":3,"24":[3,5],"2432":3,"245":3,"25":[3,5,6,54],"251065":3,"251457":5,"254540":5,"256":[1,2,3,5,13],"2560":[3,5],"256445":3,"257735":3,"26":[3,5],"260869":3,"262144":1,"2656":3,"267384":5,"2688":3,"269882":5,"27":[3,5],"276800":3,"277":5,"28":[1,3,5],"2812":3,"2816":3,"2891":3,"29":[3,5],"293429":4,"2944":3,"297068":5,"298943":3,"2d":[3,5,28],"2m":2,"2mn":2,"3":[0,1,2,3,4,5,6,12],"30":3,"304157":3,"304904":5,"305746":3,"307030":3,"3072":[3,5],"3076":1,"309":[2,9],"31":[2,3,9],"3125":3,"313806":5,"314362":3,"32":[3,5,6,13],"3200":3,"323":5,"32768":1,"327881":5,"3281":3,"33":[3,5,9],"331658":3,"3328":3,"334":5,"33554432":1,"34":3,"34172":4,"3438":3,"3456":3,"3477":3,"347810":5,"35":3,"3516":3,"355":[3,9],"355034":3,"3555":3,"3584":[3,5],"359066":2,"36":3,"360017":2,"360920":5,"362":5,"362445":1,"367358":5,"367588":3,"368435":5,"369":5,"369354":3,"369452":5,"3712":3,"3713":1,"371721":4,"372":5,"372618":3,"372800":3,"374":5,"375":5,"375705":3,"376":5,"377":5,"378":5,"379":5,"38":1,"380953":3,"381":5,"382":5,"383":5,"384":[1,2,3,5],"3840":3,"384000":3,"384185791015625e":7,"386":5,"387":5,"389355":5,"389441":3,"39":3,"3906":3,"392":[5,9],"394":5,"395":5,"396572":3,"3968":3,"397":5,"398":5,"398206":3,"3984":3,"3986":4,"3d":[37,38],"3mn":2,"4":[1,2,3,5,6,12,13,14,40],"40":3,"400":5,"400001":1,"400016":[1,2],"402":5,"4023":3,"403344":4,"403347":4,"403381":5,"405":5,"406":[2,5],"4062":3,"408":5,"408716":4,"409":5,"4096":[1,2,3,5,6],"410":5,"4105":7,"411":[2,5],"412":[2,5],"413":5,"415":2,"415087":5,"41576":4,"4194304":1,"420235":3,"420822":3,"42142":4,"426":5,"428372":4,"428568":1,"428801":3,"429770":[1,2],"430545":3,"431969":4,"433489":5,"44":3,"442":5,"442050":3,"444504":3,"445676":5,"447":5,"448255":1,"4492":3,"4531":3,"454":5,"455":5,"458178":3,"459443":5,"4608":5,"4609":3,"461":5,"464755":3,"465939":5,"467336":3,"467852":3,"468":5,"4688":3,"47":[1,3,9],"470582":5,"471":5,"472":1,"472214":3,"475759":3,"477870":5,"48":[3,6],"481":5,"484358":3,"484863":[3,5],"486200":5,"49":3,"492442":3,"494":5,"4940":1,"496":5,"498981":2,"4m":2,"4x":2,"5":[1,3,4,5,6,12,54],"500":5,"5000":3,"500614":3,"502255":5,"504":5,"51":3,"511":5,"511515":5,"512":[2,3,4,5],"5120":5,"516":5,"52":3,"520":5,"524288":1,"524944":5,"526831":3,"53":3,"531":5,"5312":3,"5351":7,"54":3,"541":4,"542675":5,"5430":7,"546":[2,5],"5632":5,"563555":3,"564":5,"566038":2,"566925":3,"568431":4,"57":3,"577576":5,"582651":3,"584279":3,"585":[2,5],"5859":3,"586858":4,"587863":5,"587973":3,"5898":3,"59":3,"599981":5,"599991":5,"599997":5,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"600010":5,"604":5,"604067":3,"606":2,"6094":3,"614":[1,2],"6144":5,"615390":1,"62":3,"621881":3,"624":5,"63":3,"630":5,"631610":5,"633":5,"634232":5,"64":[1,3,6],"640":[2,3],"64kb":5,"655":2,"65536":[1,5],"655991":2,"656574":1,"656711":5,"656871":3,"661740":2,"664":2,"6656":5,"666652":5,"668":5,"669909":5,"670":5,"67086":4,"67108864":1,"6724":1,"678":5,"679167":2,"68":3,"686":5,"686074":5,"688":5,"69":3,"690139":3,"694":5,"694907":5,"6953":3,"698":5,"699062":5,"7":[0,1,3,5,12],"700":5,"702":5,"7031":3,"706":2,"7070":3,"707878":4,"71":3,"712":5,"7168":5,"719258":4,"72":3,"722":[1,2],"725":5,"728":5,"73":3,"730667":3,"734716":5,"735":[5,9],"737435":1,"743443":4,"744825":3,"7500":3,"754468":5,"754967":2,"76":1,"768":[2,3],"7680":5,"768000":3,"768213":3,"77":3,"773130":3,"78":3,"780":1,"781":2,"784108":3,"786968":5,"79":3,"794504":5,"79719":4,"8":[1,2,3,5,6,12,13,14,52,54],"80":[3,54],"800002":1,"803739":5,"806694":4,"81":3,"810":2,"810792":5,"811":2,"812":[1,2],"814814":2,"8149":7,"817432":4,"8192":[1,5],"82":3,"823517":[1,2],"826188":5,"83":3,"831982":5,"833":1,"834951":2,"838026":4,"8388608":1,"84":3,"842":1,"84284":4,"847":1,"848":1,"849":1,"85":3,"850":1,"859062":5,"86":3,"861429":5,"87":3,"8704":5,"873439":5,"874549":3,"876193":3,"88":3,"882350":5,"8828":3,"885254":5,"8867":3,"887417":5,"89":3,"8906":3,"8945":3,"895":[1,9],"895043":5,"896":3,"899428":3,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"905938":3,"91":3,"911572":5,"913776":2,"92":3,"9216":5,"9219":3,"922008":5,"924073":3,"925276":2,"93":[2,3],"932191":3,"9375":3,"94":2,"943582":3,"9492":3,"95":[2,3],"952835":4,"9531":3,"96":[2,3],"965524":5,"966561":3,"967074":5,"967162":3,"9688":3,"969090":5,"97":2,"971190":2,"971549":2,"9728":5,"9733":1,"974373":5,"975225":5,"976733":3,"976995":5,"98":[2,3],"9805":3,"983276":3,"98432":[1,7],"9844":3,"999982":5,"999995":1,"abstract":[11,12],"break":12,"byte":2,"case":[1,2,11,12,15,20],"class":[2,5,6,11,12,13,53],"default":54,"do":[2,3,6,11,12,14,18,19,21,22,23,24,25,30,49],"float":[2,6,7,11,12,54],"function":[1,2,3,4,5,6,8,9,12,13,14,15,16,53,54,55],"import":[1,2,3,4,5,6,7,11,12],"int":[1,11,12,15,17,26,37,38,44,52,54],"new":[26,44,52],"return":[1,2,3,4,5,6,14,17,18,19,20,21,22,23,24,25,28,30,32,34,37,38,39,40,41,42,43,50,51,52,54,55],"static":[0,11,12],"super":3,"switch":3,"true":[1,2,3,5,6,28,51],"try":[3,5,6,7,13],"var":[5,12],"voil\u00e0":4,"while":[3,11],A:[3,4,5,11,12],And:[0,3],As:[2,3,4,11,12],At:[4,12],But:4,By:54,For:[3,7,11,12,13],If:[4,12,18,19,21,22,23,24,25,40,49,51,53],In:[1,2,3,4,7,12],It:[1,3,4,8,10,12,14,16],NOT:5,Of:11,On:12,One:3,The:[1,2,3,4,7,11,12,18,19,20,21,22,23,24,25,26,28,37,38,39,40,41,42,44,49,51,55],There:1,These:12,To:[1,4,8,11,12,14],_:5,__expf:2,__init__:[13,53],__nv_asin:7,__nv_asinf:7,__nvasinf:7,_a:5,_attent:6,_bwd_kernel:6,_bwd_preprocess:6,_da:5,_dout:5,_dropout:4,_fwd_kernel:6,_layer_norm_bwd_dwdb:5,_layer_norm_bwd_dx_fus:5,_layer_norm_fwd_fus:5,_matmul:3,_mean1:5,_mean2:5,_mean:5,_seeded_dropout:4,_var:5,a100:[3,6,12],a_arg:5,a_hat:5,a_ptr:3,ab:[1,7],abl:12,about:[1,2,3,4,10],abov:[1,2,3,4,12,14],academ:11,acc:[3,6,11,12],acc_scal:6,acceler:11,access:[1,3,11,12,16],accomod:3,accordingli:12,account:12,accumul:[3,6,12],accuraci:[3,11],achiev:[3,11,12],across:[2,4,11,12],activ:3,actual:[3,11,12],ad:5,add:[1,4,5,9,18],add_kernel:1,addit:[2,8,9,11,54],addition:12,address:[11,30],adopt:12,advanc:[2,3,11],advoc:12,affect:3,affin:12,after:3,against:[0,1,2,3,10],aggreg:7,aggress:[11,12],agnost:[11,12],ahead:12,aim:[2,10],al:[6,11,12],alex:4,algebra:12,algorithm:[3,4,6,11,12],alia:12,all:[2,3,4,7,8,11,12,14,32,34,36,50,53],allclos:[2,3],allen1984:12,allen:12,alloc:[1,2,3,5,11],allow:[1,2,11,12],allow_tf32:28,along:[1,3,32,34,37,38,50,54],alpha:6,also:[1,2,3,4,5,7,11,12],altern:4,alwai:[12,51],amd:[6,11],amen:12,amount:[5,11],ampl:12,an:[1,2,3,4,7,11,12,13,18,19,20,21,22,23,24,25,39,40,41,42],analog:1,analysi:[11,12],analyz:12,ancourt1991:12,ancourt:12,ani:[1,2,3,12,14,15,53],anoth:[2,12],anytim:14,apart:12,apex:5,apex_layer_norm:5,api:53,appear:53,appli:[3,4,5,6,7,11,12,18,19,21,22,23,24,25],applic:[4,12,15],approach:[11,12],appropri:1,approxim:2,ar:[0,1,2,3,4,11,12,13,14,16,30,36,49,51,53],arang:[1,2,3,4,5,6,7],arbitrari:3,arc:7,architectur:[3,11],area:12,arg:[1,2,3,5,6,13,15,16,53],argument:[1,2,3,13,14,15,16,51,53],arrai:[12,52],arrang:3,art:[11,12],artifici:4,arxiv:[6,11,12],asin_kernel:7,asinf:7,ask:2,aspect:12,asplo:11,assert:[1,2,3,4,5,6,7],assert_almost_equ:[5,6],assum:[2,53],asynchron:[1,11],atom:[18,19,20,21,22,23,24,25],attent:[8,9],auguin1983:11,auguin:11,auto:[2,3,12,13,14,15],autograd:[5,6],autom:11,automat:[2,3,7,11,12,13],autotun:[3,12],avail:[0,4,7,11,12],avoid:[2,14,51],awar:11,awkward:4,axi:[1,2,3,4,5,6,7,32,34,37,38,50,53],b:[3,11,12],b_ptr:3,back:[1,2,3,4,5,6],backpropag:4,backward:[5,6],bad:4,baghdadi2021:[11,12],baghdadi:[11,12],balanc:12,bandwidth:2,base:[4,7,10,11,12],baseexcept:6,basic:[1,8,12],batch:6,bc:7,becom:11,been:[1,11,12],befor:[3,13,14,18,19,20,21,22,23,24,25],begin:12,behavior:[12,14],being:[2,4],believ:12,below:[4,8,12],bench:[0,14],bench_flash_attent:6,bench_layer_norm:5,benchmark:[0,5,6,54,55],benefit:[2,11,12],best:[1,11],beta:6,between:[1,7,11],bfloat16:28,bia:5,bit:4,block:[1,2,3,4,6,11,12,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,39,40,41,42,43,45,46,47,48,49,51],block_dmodel:6,block_m:6,block_n:6,block_siz:[1,2,4,5,7,12,14,15],block_size_k:3,block_size_m:[3,5],block_size_n:[3,5],block_start:[1,4,7],blue:[1,2,3,5,6],boil:12,bool:[51,53],both:[7,12,51],bound:[1,2,3,12],branch:12,broad:11,broadcast:[26,30,49,51],buffer:6,bug:6,build:[0,3],built:[1,12],bwd:6,c:[3,11,12],c_mask:3,c_ptr:3,cach:[11,12,30],cache_modifi:30,calcul:7,call:[1,3,7,12,13,16,40],callabl:[1,15,16,54],can:[0,1,2,3,4,7,11,12,14,55],cannot:[3,11,12],capabl:[10,11],causal:6,cd:[0,8],cdiv:[1,3,4,5,6,7],ceil:15,certain:15,cgo:[11,12],challeng:4,chang:[3,4,14,30],chapter:10,characterist:12,cheap:11,check:[3,10],checkpoint:4,chen2018:11,chen:11,chip:[2,6],choic:10,click:[1,2,3,4,5,6,7],clone:[0,5,6],close:12,cmake:0,cmp:20,coalesc:11,code:[1,2,3,4,5,6,7,8,11,12],col:[3,5,6,12],col_offset:2,color:53,column:[2,3],com:[0,5,7],combin:11,come:[2,3,12],command:0,common:12,commonli:12,compar:[2,3,4,5,6,10,12,20],compat:28,compil:[2,3,6,10,11,13,16,36],complet:12,complex:12,compos:[4,11],composit:12,comprehens:[11,12],comput:[4,5,6,7,10,11,12,15,27,29,31,33,35,45,46,47,48],computation:[11,12],concern:12,concis:[1,53],condit:[12,51],config:[3,5,6,14],configur:[3,13,14,55],confirm:2,connectom:11,consecut:12,consequ:11,consid:2,consist:4,constexpr:[1,2,3,4,5,6,7,39,40,41,42,47],constraint:[3,6,12],construct:11,constructor:53,consum:3,contain:[12,20,53],contextu:12,contigu:[3,6,17,43],control:[11,12],conveni:3,convert:[1,3,16],convolut:11,cooper:13,copi:[4,11,20],core:[11,12,39,40,41,42,47],correct:[1,7],correspond:[1,2,3,53],cosin:27,cost:12,could:[2,12],cours:11,cpython:0,creat:[1,2,3,5,11],crucial:4,csv:1,ctx:[5,6],cu_seqlen:6,cubla:[3,11],cuda:[1,2,3,4,5,6,7,11],cudnn:11,cumsum:6,current:38,custom:[1,2,3,10],cut:3,cvpr:11,d:[2,4,6,14,16],d_head:6,d_ptr:6,da:5,dao:6,dart:12,darte1999:12,data:[1,3,4,5,6,7,11,12,18,19,20,21,22,23,24,25,30,51,52],data_ptr:16,dataflow:12,david:4,db:5,db_ref:5,db_tri:5,dbia:5,deal:4,decad:11,decim:5,declar:1,decompos:12,decor:[1,3,14,15,16],decreas:4,dedic:3,deep:[3,4,11,12],def:[1,2,3,4,5,6,7,14,15],defin:[1,2,3,12,30],definit:12,delta:6,denom:6,denomin:2,denot:1,dens:12,depend:[0,8,12,51],deploi:11,describ:[4,12],design:12,desir:[26,44],detail:[3,12],detect:11,develop:[11,12],devic:[1,2,3,5,6,7],dg:5,di:6,dialect:12,dict:[14,15],dictionari:[13,15],diesel:12,differ:[1,2,3,4,7,11,12,14,53],difficult:12,difficulti:[3,11],dijkstra82:12,dijkstra:12,dim:[2,6,12],dimens:[3,28,32,34,50],dimension:[3,12,28],dir:0,direct:3,disjoint:12,disk:1,dissert:12,distribut:[2,4,12],divid:6,divis:3,dk:6,dk_ptr:6,dnn:[10,11,12],do_bench:[1,2,3,5,6],do_ptr:6,do_scal:6,doc:[4,7],doe:[1,2,3,12],doesn:12,domain:[11,12],don:[1,2,3],done:[3,11,32,34,50],dot:[3,6],doubl:7,doubli:3,doubt:12,dout:[5,6],down:[3,12],download:[0,1,2,3,4,5,6,7,8],dp:6,dq:6,dq_ptr:6,dram:[1,2],dropout:[8,9],dror:4,ds:6,dsl:[10,11,12],dtype:[1,2,3,5,6,18,19,20,21,22,23,24,25,30,49,52],dv:6,dv_ptr:6,dw:5,dw_ref:5,dw_tri:5,dweight:5,dx:5,dx_ref:5,dx_tri:5,dy:5,e:[0,2,3,4,8,11,12,52],each:[1,2,3,4,11,12,13,15],earli:14,early_config_prun:14,eas:12,easi:[3,4],easier:[1,2,11],easili:3,ed:[1,3],education:2,effect:12,effici:[3,4,11,41],effort:12,eg:14,either:[1,37,38,51],elango2018:12,elango:12,element:[1,2,3,4,5,27,29,31,32,33,34,35,45,46,47,48,49,50,51,53],element_s:[2,5],element_ti:[18,19,20,21,22,23,24,25,30,49],elementwis:[2,30],els:[3,5,6],emerg:11,empti:[3,5,6],empty_lik:[1,2,4,5,6,7],enabl:12,encod:[7,12],encourag:4,end:[11,12,17],enforc:12,engin:12,enqueu:[1,2,5],ensur:12,entir:12,entri:41,environ:10,ep:5,equal:12,error:3,especi:11,et:[4,6,11,12],euromicro:11,evalu:[3,4,14,51],even:[4,12],evict_first:5,evict_last:[5,6],eviction_polici:[5,6,30,49],evidenc:11,evolv:11,exampl:[1,2,3,4,5,6,7,8,11,12,13],except:[5,6],exchang:24,execut:[9,11,12,13,55],exist:[11,12],exp:[2,6],expect:[2,20],expens:[11,12,15],explor:[4,11],exponenti:[2,29],express:[11,12],extend:[3,4],extern:7,extern_lib:7,extra:1,extras_requir:5,extrem:12,f:[1,2,3,6,7,12],facilit:[11,12],fact:12,fairli:3,fals:[5,6,18,19,21,22,23,24,25,28,30,47,49,51,53,54],far:2,fast:[2,11,12],faster:[2,40],fastest:12,featur:5,feel:3,fetch:11,few:12,field:[11,14],figur:12,file:[1,2,3,9],fill:52,fill_valu:6,fine:4,first:[1,3,4,10,12,28,33,35],first_pid_m:3,firstli:4,fit:2,fix:[6,53],flag:2,flash:6,flash_attn:6,flash_attn_func:6,flash_attn_interfac:6,flatten:43,flexibl:11,float16:[3,5,6,28,52],float32:[1,2,3,4,5,6,28,39,42],flow:[11,12],fly:4,fn:[6,16,54],focu:[3,12],folder:4,follow:[0,2,3,10,11,12],footprint:4,forc:4,forget:1,formal:12,format:12,forward:[5,6],found:20,foundat:12,four:41,fp16:3,fp32:3,frac:4,framework:[11,12],free:3,from:[1,2,3,4,6,7,11,12,30,51],full:[1,2,3,4,5,6,7],fulli:12,func:12,fundament:12,further:[4,12],fuse:[3,5,8,9],fusedlayernorm:5,fusion:[2,12],fwd:6,g:[3,4,11,12,52],galleri:[1,2,3,4,5,6,7,8],gb:[1,2,5],gbp:[1,2,5],gener:[1,2,3,4,5,6,7,8,11,12,39,40,41,42,53],geoffrei:4,geq:12,get:[1,2,3,4,9],girbal2006:12,girbal:12,git:0,github:[0,5],give:11,given:[2,3,4,26,37,38,39,40,41,42,44,52],global:12,go:[1,3,12],good:[1,12],gpgpu:11,gpu:[1,2,4,10,11,12,13,16],grad:[5,6],grad_scale_gain_bias_nam:5,grad_scale_nam:5,grad_to_non:[5,54],gradient:54,grammat:12,graphic:11,greater:2,green:[1,2,3,5],grid:[1,2,3,4,5,6,7,37,38],grid_m:3,grid_n:3,grosser2012:12,grosser:12,group:3,group_id:3,group_m:3,group_size_m:3,grow:12,guard:[1,2],guid:[7,11],h:6,ha:[1,3,4,11,12,37,38],had:1,half:6,halid:[11,12],hand:12,handl:[1,2,4,12],handwritten:11,hard:3,harder:12,hardwar:[3,10,12],has_apex:5,has_flash:6,hasattr:5,hasn:1,have:[2,4,6,11,12,16,28,51,53],head:6,heavi:11,helper:[1,2],henc:3,here:[1,2,3,4,5,6,7],heurist:[2,5],hierarch:11,hierarchi:12,high:[3,11,12],higher:3,highli:11,highlight:12,hint:12,hinton:4,hit:3,how:[1,2,3,10,11,15],howev:[2,12],html:[4,7],http:[0,4,5,6,7],i:[1,2,3,4,5,6,11,12],id:[3,38],idea:11,ideal:2,ident:2,identifi:1,idx:[18,19,21,22,23,24,25,30,49],ieee_round:47,ilya:4,imag:[11,12],immedi:6,implement:[1,2,3,4,6,11,12],implicitli:[1,16,30,49],importantli:12,impos:12,improv:[3,4],incompat:[3,12],incorrect:3,increas:[1,2,3,4],incred:11,increment:[6,12],inde:12,independ:[2,12],index:[1,7],indic:[12,51],induc:12,industri:11,inequ:12,inf:[2,6],inform:12,infrastructur:12,initi:[1,3,6],inner:[3,28],inplac:3,input:[1,2,3,4,5,7,12,14,15,26,27,28,29,31,32,33,34,35,36,43,44,45,46,47,48,50],input_ptr:2,input_row_strid:2,instal:[8,10],instanc:[1,2,3,4,11,13,37,38],instanti:4,instead:[2,51],instruct:[10,11],int1:[18,19,21,22,23,24,25,30,49],int32:[4,6,40,41],integ:12,interchang:12,interest:[11,12],intermedi:12,intern:[2,12],interv:17,intrins:12,introduc:4,introduct:10,invari:[2,12],invoc:4,invok:7,ipynb:[1,2,3,4,5,6,7],ir:12,irregular:[2,12],is_contigu:[3,4,5],is_cuda:[1,7],isn:3,issu:[11,12],iter:[3,11,12],its:[1,2,3,12,14],j:[3,5,11,12],jit:[1,2,3,4,5,6,7,14,15],jmlr:4,john:4,johnson:4,journal:12,jrk2013:11,jupyt:[1,2,3,4,5,6,7,8],just:[3,12,15],k:[3,4,6,11,12],k_ptr:6,kb:11,keep:4,kei:[3,11,14],kellei:11,kernel:[4,5,10,11,13,14,15],keyword:[1,13],ki:12,kind:2,know:36,known:12,krizhevski:4,kwarg:[13,16],l:6,l_i:6,l_i_new:6,l_ij:6,l_ptr:6,label:[1,2,3,53],lam1991:11,lam:11,lambda:[1,2,3,4,5,6,7,15],languag:[1,2,3,4,5,6,7,10,11,16],larg:[11,12],last:3,later:[2,12],latest:0,lattner2004:12,lattner2019:12,lattner:12,launch:[1,2,3,37,38],law:12,layer:[8,9,11,12],layer_norm:5,layernorm:5,lead:[4,11,12],leaky_relu:3,leakyrelu:3,learn:[1,2,3,4,10,11,12],least:12,lee2017:11,lee:11,left:12,legal:12,length:[1,6],less:[4,5,11,12],let:[1,2,4,36],letter:12,level:[3,11,12],li:11,libdevic:[8,9],librari:[0,3,11,12],lifelong:12,like:[1,4,6,11,12,40],limit:[2,4],lindenstrauss:4,line:[1,2,3,4,12,53],line_arg:[1,2,3,5,6,53],line_nam:[1,2,3,5,6,53],line_v:[1,2,3,5,6,53],linear:[11,12],link:0,list:[1,3,14,15,53,54,55],litteratur:12,lk:6,ll:4,llvm11:0,llvm:[0,12],lo:6,load:[1,2,3,4,5,6,7,12,51],local:[7,11,12],locat:[3,18,19,20,21,22,23,24,25,30,49],log2:15,log:53,logarithm:[1,31],logic:[19,23,25],look:[4,10,11],loop:[3,6,12,13],low:[8,9,12],lq:6,lv:6,m:[0,2,3,5,6,11],m_i:6,m_i_new:6,m_ij:6,m_ptr:6,machin:[11,12],machineri:[11,12],made:11,mai:[2,12,15],main:[3,11,12],maintain:[2,12],major:[3,12],make:[1,2,11,12],manag:[4,11],mani:[11,12],manual:[2,12],manual_se:[1,2,3,5,6,7],map:3,mapl:12,mark:[4,6,55],markedli:11,mask:[1,2,3,4,5,7,18,19,21,22,23,24,25,30,49,51],match:[3,20],math:15,mathbb:12,mathbf:12,mathcal:[12,42],mathemat:12,matmul:[3,6,12],matmul_kernel:3,matric:[2,3],matrix:[2,4,8,9,11,12,13,28],matrix_s:12,matter:[3,11,12],max:[1,2,5,6,7,21],max_fused_s:5,max_m:[1,2,3,5],maxim:[5,10,12,41],maximum:[1,2,6,7,32],mb:[9,11],mean1:5,mean2:5,mean:[3,5,6,12,14],mechan:[2,12],median:54,memori:[1,2,3,8,9,11,12,18,19,20,21,22,23,24,25,30,49,51],mention:3,meta:[1,2,3,4,5,7,13,14,15],metaparamet:1,method:[12,13,16,53,55],methodolog:12,micro:11,min:[3,5,22],min_m:[1,2,3,5],minimum:34,minut:[1,2,3,4,5,6,7],miss:12,mitig:12,ml:11,mlir:12,mn:2,mode:[5,6],model:[1,11,12,14],modern:[3,10,11,12],modular:12,modulenotfounderror:5,moment:6,moor:12,mora:4,more:[2,3,4,10,11,12,53],most:[3,12],mostli:13,move:3,movement:4,ms:[1,2,3,5,6,54],much:[2,3],mullapudi2016:12,mullapudi:12,multi:[3,11,12],multipl:[1,4,8,9,11,12,13,14,36,40],multiple_of:6,multipli:[3,4,5,12,28],must:[2,3,17,28,51],n:[2,3,5,11,42],n_col:2,n_ctx:6,n_element:[1,4,7],n_head:6,n_round:[39,40,41,42],n_row:2,naiv:[2,4],naive_softmax:2,name:[1,2,3,14,15,53],nativ:[1,2,3],natur:[2,11,31],nb:11,necessari:2,need:[1,2,3,4,40],nelement:2,nest:[3,12],net:12,network:[4,11,12],neural:[4,11,12],neurosci:11,never:4,newdo:6,next:[2,3],next_power_of_2:[2,5],nightli:0,nip:11,nitish:4,nn:[3,5],non:11,none:[2,3,5,6,13,14,18,19,21,22,23,24,25,30,49,53,54],nonzero:51,norm:[4,5,9],normal:[2,6,8,9],normal_:6,normalized_shap:5,note:[0,1,2,3,4,6,12,14,16,51],notebook:[1,2,3,4,5,6,7,8],notic:[2,12],notori:[3,11],novel:11,now:[1,3],num_block:6,num_pid_in_group:3,num_pid_m:3,num_pid_n:3,num_stag:[3,6,13,14],num_warp:[2,3,5,6,13,14],number:[1,2,3,4,5,12,13,14,37,39,40,41,42],numcol:5,numel:[1,4,5,7],numer:[2,11],numrow:5,nvidia:[5,7,11,30],nvvm:7,o:[2,4,6],object:[1,3,11,13,14,16,18,19,20,21,22,23,24,25],obtain:1,obvious:2,occup:5,occur:12,off:5,off_h:6,off_hz:6,off_k:6,off_m:6,off_n:6,off_o:6,off_q:6,off_v:6,off_z:6,offer:11,offici:0,offs_am:3,offs_bn:3,offs_cm:3,offs_cn:3,offs_d:6,offs_k:[3,6],offs_m:6,offs_m_curr:6,offs_n:6,offs_qm:6,offset:[1,4,6,7,39,40,41,42],often:3,omega:12,onc:[2,11,12],one:[2,3,4,8,11,12,53],ones:6,onli:[2,3,4,6,11,12,16],op:[1,2],open:17,openai:0,opencl:11,oper:[1,2,3,4,7,8,11,18,19,20,21,22,23,24,25,51],opportun:11,opsila:11,optim:[11,12],option:[3,14,18,19,21,22,23,24,25,30,49,53,54],orang:5,order:[2,3,8,12],org:[4,6],origin:12,osdi:11,other:[2,3,4,5,10,12,16,28,30,33,35],otherwis:[4,51],our:[1,2,3,11],out:[1,2,3,4,5,6,7,10,12],out_ptr:6,outlin:12,output2:4,output3:4,output:[1,2,3,4,5,6,7],output_ptr:[1,2,4],output_row_start_ptr:2,output_row_strid:2,output_torch:[1,7],output_triton:[1,7],over:[2,4,6,11,12],overfit:4,overflow:2,own:3,p:[4,6,12],p_scale:6,pa:3,packag:16,pact:12,pad:2,par:3,paradigm:[11,12],paragraph:4,parallel:[1,2,3,4,5,10,11,12,13],paralleliz:11,param:15,paramet:[1,3,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55],parametr:[6,11],part:[3,4,12],partial:5,particular:[2,3],particularli:[11,12],partit:11,pass:[1,5,7,12,13],past:[11,12],path:1,pattern:11,pb:3,pdf:6,peak:12,per:[2,4,5],percentil:[6,54],perf:3,perf_model:14,perf_report:[1,2,3,5,6,53],perform:[1,2,4,11,12,14,18,19,20,21,22,23,24,25,54],persist:4,person:12,perspect:12,phase:12,philosophi:12,philox:[4,41],pid:[1,3,4,5,7],pid_m:3,pid_n:3,pip:[0,8],pipelin:[11,12,13],platform:[10,12],pldi:11,pleas:7,plot:[0,1,2,3,53],plot_nam:[1,2,3,5,6,53],pmatrix:12,point:[1,12,41],pointer:[1,2,4,6,16,18,19,20,21,22,23,24,25,30,49],pointerdtyp:[18,19,20,21,22,23,24,25,30,49],polli:12,polyhedr:11,polyhedra:12,popular:12,portabl:[11,12],pose:11,posit:[5,15],possibl:[1,2,3,12,13],power:[2,4,12,15,17],ppopp:12,practic:[1,2,3,11],pragma:11,pre:[0,6,11],pre_hook:13,prealloc:1,predic:14,predict:12,prefer:2,premis:11,present:0,preserv:12,preserve_rng_st:4,prevent:[4,12],primer:12,primit:[11,16],princip:7,principl:12,print:[1,3,4,7],print_data:[1,2,3,5,6],prng:4,probabl:[4,12],problem:1,problemat:12,procedur:12,process:[1,5,11,12],processor:11,produc:[3,4],product:[10,12,28],program:[1,2,3,4,5,10,11,37,38],program_id:[1,2,3,4,5,6,7],programm:[11,12],prohibitev:15,project:[4,11],promot:[3,12],properli:2,properti:12,propos:11,proprietari:3,provid:[1,2,3,4,5,6,10,12,14,32,34,50,54],prune:[4,14],prune_configs_bi:14,pseudo:[3,4,41],pseudorandom:4,ptr:3,ptx:30,purpos:[11,12],push:12,put:4,py:[0,1,2,3,4,5,6,7,9],pypi:[0,5],pytest:[0,6],python:[1,2,3,4,5,6,7,8,16],pytorch:[1,2,4],q:6,q_ptr:6,qk:6,qkv:6,qquad:12,quantiti:6,r:2,rabe:6,ragan:11,rand:[1,4,5,7],randint4x:40,randn:[2,3,4,5,6],randn_lik:[5,6],random:[4,39,40,41,42],randomli:4,rang:[1,2,3,5,6,11,12],rapidli:[11,12],rate:3,rather:11,raw:1,rdom:12,re:[1,3],read:[2,3,8],reader:12,real:11,reason:12,recent:11,recommend:8,recomput:[4,6,11],record_clock:54,rectifi:11,red:6,redmon2016:11,redmon:11,reduct:[2,5,32,34,50],ref_dk:6,ref_dq:6,ref_dv:6,ref_out:6,refer:[1,6,7],regard:7,regardless:[4,51],regim:4,regist:6,regrett:11,regular:[4,12],rel:[1,12],relat:10,releas:[0,11],reli:12,relu:3,remain:[11,53],remateri:6,rememb:3,reorder:12,rep:[5,6,54],repetit:54,repres:[2,3,12,13],requir:[2,4,12],requires_grad:[5,6],requires_grad_:[5,6],research:[11,12],reset:[14,54],reset_to_zero:14,reshap:5,resolut:12,resourc:11,resp:12,respect:12,restrict:12,result:[0,1,2,11,12],ret:2,retain_graph:[5,6],retriev:12,reus:3,revisit:11,right:12,rise:12,role:12,ron:4,root:48,roughli:3,row:[2,3,4,5,6],row_idx:2,row_minus_max:2,row_start_ptr:2,rstd:5,run:[0,1,2,3,4,5,6,7,10,12,14,16,55],runtim:[12,54],ruslan:4,rvar:12,s:[1,2,4,5,12,41],said:12,salakhutdinov:4,salmon2011:4,salmon:4,same:[4,7,11,53],sato2019:12,sato:12,save:[1,2,3,6],save_for_backward:[5,6],save_path:[1,5,6],saved_tensor:[5,6],sc:12,scalabl:12,scalar:[4,11,28,39,40,41,42,52],scale:[6,53],scan:12,schedul:11,scienc:12,scientif:12,scop:12,scope:12,scratchpad:6,script:[0,1,2,3,4,5,6,7],second:[1,2,3,4,5,6,7,12,28,33,35],secondli:4,section:[3,12],see:[1,2,3,4,6,12],seed:[39,40,41,42],seeded_dropout:4,seem:[1,12],select:[7,11,12,51],self:[13,53],semant:[7,12],semi:12,sens:[1,11,12],separ:12,seq:6,sequenc:11,set:[1,4,12],setup:[0,5],sever:[11,12],shall:12,shape:[1,2,3,4,5,6,12,26,30,44,49,51,52],share:11,shaw:4,shift:2,should:[1,3,5,11,12,13,32,34,50,53],show_plot:[1,2,3],shown:12,side:12,sight:12,signal:11,significantli:2,sigplan:12,simd:11,simpl:[1,2,3,4],simplest:8,simpli:[7,12],simplic:3,simplifi:4,sinc:[1,2,3],sine:[7,46],singl:[2,4,11,40],size:[1,2,4,7,12],slower:[11,12],slowest:12,sm80:13,sm:12,sm_scale:6,small:5,smaller:[3,4],smallest:[2,15],snemi3d:11,so:[1,2,3,4,5,12],softmax:[4,6,8,9],softmax_kernel:2,softmax_output:2,softwar:13,solid:12,solut:3,solv:12,some:3,sometim:12,sourc:[1,2,3,4,5,6,7,8,12],space:[11,12],spars:[4,11,12],spatial:12,speak:3,special:11,specif:[3,11],specifi:[12,15,18,19,20,21,22,23,24,25,49],speed:2,sphinx:[1,2,3,4,5,6,7,8],split:12,spmd:[1,11,12],sqrt:5,squar:48,sram:[2,3,5,6],srivastava2014:4,srivastava:4,staat:6,stabil:2,stabl:0,stage:13,stai:6,standard:12,start:[8,17],start_m:6,start_n:6,started_tutori:9,state:[4,11,12],statement:12,staticmethod:[5,6],std:6,step:12,still:[1,2,3,12],stop:17,store:[1,2,3,4,5,6,7,18,19,20,21,22,23,24,25,51],str:[14,15,30,53],straightforward:3,strategi:[4,12],stream:[5,40],strength:11,stride:[2,3,4,5,6],stride_ak:3,stride_am:3,stride_bk:3,stride_bn:3,stride_cm:3,stride_cn:3,stride_kh:6,stride_kk:6,stride_kn:6,stride_kz:6,stride_oh:6,stride_om:6,stride_on:6,stride_oz:6,stride_qh:6,stride_qk:6,stride_qm:6,stride_qz:6,stride_vh:6,stride_vk:6,stride_vn:6,stride_vz:6,stride_xi:3,stride_xj:3,structur:[11,12],style:[1,2,3,5,6,53],subscript:12,substanti:11,substract:2,subtract:2,successfulli:12,suffer:12,suit:11,sum:[1,2,5,6],sum_db:5,sum_dw:5,superhuman:11,support:[4,12],sure:2,surprisingli:11,surround:12,suspicion:2,sutskev:[4,11],sutskever2014:11,swap:20,swizzl:11,synchron:[1,11],system:[0,3,11,12],t:[1,2,3,6,12],t_:12,t_ptr:6,tabul:4,taco:12,take:[3,4,10,14,15],taken:12,target:11,techniqu:[11,12],temperatur:4,tempor:12,tend:12,tension:11,tensor:[1,2,3,4,5,7,11,12,14,16,26,28,30,32,33,34,35,43,44,49,50,51,52,54],tensorrt:11,test:[0,1,5,6,10],test_layer_norm:5,test_op:6,text:12,tflop:3,th:54,than:[2,3,5,11,12,40,53],thei:[3,11,12],them:1,themselv:3,theoret:2,therebi:12,therefor:3,theta:12,theta_:12,thi:[1,2,3,4,5,6,7,11,12,13,14,15,16,41,53],thing:[1,4],think:2,those:2,though:[11,12],thought:12,thread:[2,11,13],through:[8,12],throughout:[6,12,53],throughput:10,tile:12,time:[0,1,2,3,4,5,6,7,11,12,14,40,54],tiramisu:[11,12],tl:[1,2,3,4,5,6,7,52],tmp:[0,6],tog:12,togeth:[4,7],tolist:4,top_k:14,topic:12,torch:[1,2,3,4,5,6,7,16,54],torch_output:3,torch_relu:3,total:[1,2,3,4,5,6,7,9],tradit:[4,11,12],trans_a:[6,28],trans_b:[6,28],transform:[4,12],transpos:6,travers:12,trend:11,tri:[26,44],tri_dk:6,tri_dq:6,tri_dv:6,tri_out:6,trick:2,tricki:4,trigger:[3,14],tril:6,trition:7,triton:[0,1,2,3,4,5,6,7,8,11,12],triton_output:3,trivial:11,tune:[2,3,12,14,15],tuner:13,tupl:[1,26,44,52],tutori:[1,2,3,4,10],tutorials_jupyt:8,tutorials_python:8,tvm:[11,12],two:[1,2,3,12,14,15,17,28],type:[7,15,28,30,51,52],typecast:[30,49],typic:12,u:[0,39],un:12,uncommon:12,underli:7,underneath:12,understand:2,undesir:14,unfortun:[3,12],unifi:11,uniformli:4,unint:51,unit:[0,11],univers:12,unrol:[5,12],up:2,updat:[3,6,12,14],us:[1,2,3,4,5,11,12,13,14,15,16,40,51,53,55],user:7,usr:7,util:[1,5],v100:12,v:6,v_ptr:6,val:[18,19,20,21,22,23,24,25],valid:1,valu:[1,2,3,4,6,7,14,15,17,18,19,20,21,22,23,24,25,27,29,30,31,32,34,36,45,46,47,48,49,50,51,52,53,55],valuabl:2,vari:6,variabl:[3,13],varianc:5,variant:11,variou:8,vasilach:[11,12],vasilache2018:[11,12],vast:12,vec:12,vector:[4,8,9,11,12],vendor:3,veri:[2,4,12],verif:12,verifi:[2,12],via:12,view:43,visibl:12,vision:11,volatil:30,vs:0,w:12,w_shape:5,wa:4,wai:[2,3,4],want:[2,4,51],warmup:[6,54],warp:[2,5,13],wast:2,wdout:5,we:[1,2,3,4,7,11,12],weight:5,well:[4,11,12],whatev:14,wheel:0,when:[2,3,4,11,12,13,14,16,51],where:[1,3,4,5,6,12,15,49],whether:[11,53],which:[1,2,3,4,11,12,14,32,34,50,53],whose:[1,2,3,4,12,14,30],wide:12,wise:[1,2,6,27,29,31,33,35,45,46,47,48,49],wish:[3,12],within:[3,16,17],without:12,wolf:12,wolfe1989:12,won:2,word:12,work:[2,4,6,10,11],workaround:6,workload:[3,13],wors:[3,11,12],would:[1,2,4],wouldn:12,wrapper:3,write:[1,2,3,4,5,6,8,10,12],wrote:2,x:[1,2,3,4,5,7,12,27,29,31,33,35,43,45,46,47,48,51,53],x_arg:5,x_keep:4,x_keep_ptr:4,x_log:[1,53],x_max:2,x_name:[1,2,3,5,6,53],x_ptr:[1,4,7,14,15],x_shape:5,x_size:[14,15],x_val:[1,2,3,5,6,53],xi:12,xii:12,xlabel:53,xo:12,xor:25,y:[1,2,3,5,12,33,35,51,53],y_fwd:5,y_log:53,y_name:[1,2],y_ptr:[1,7],y_ref:5,y_torch:2,y_tri:5,y_triton:2,year:12,yet:[11,12],yi:12,yield:51,yii:12,ylabel:[1,2,3,5,6,53],yo:12,you:[0,1,2,3,4,7,8,11,14,40,51],your:[0,1,10],yourself:[2,3],z:[1,2,6,12],zero:[3,4,5,6,7,14],zeros_lik:6,zip:8},titles:["Installation","Vector Addition","Fused Softmax","Matrix Multiplication","Low-Memory Dropout","Layer Normalization","Fused Attention","Libdevice function","Tutorials","Computation times","Welcome to Triton\u2019s documentation!","Introduction","Related Work","triton.Config","triton.autotune","triton.heuristics","triton.jit","triton.language.arange","triton.language.atomic_add","triton.language.atomic_and","triton.language.atomic_cas","triton.language.atomic_max","triton.language.atomic_min","triton.language.atomic_or","triton.language.atomic_xchg","triton.language.atomic_xor","triton.language.broadcast_to","triton.language.cos","triton.language.dot","triton.language.exp","triton.language.load","triton.language.log","triton.language.max","triton.language.maximum","triton.language.min","triton.language.minimum","triton.language.multiple_of","triton.language.num_programs","triton.language.program_id","triton.language.rand","triton.language.randint","triton.language.randint4x","triton.language.randn","triton.language.ravel","triton.language.reshape","triton.language.sigmoid","triton.language.sin","triton.language.softmax","triton.language.sqrt","triton.language.store","triton.language.sum","triton.language.where","triton.language.zeros","triton.testing.Benchmark","triton.testing.do_bench","triton.testing.perf_report","triton","triton.language","triton.testing"],titleterms:{"default":7,"final":3,"function":7,addit:1,advantag:12,algebra:57,api:10,arang:17,arithmet:3,asin:7,atom:57,atomic_add:18,atomic_and:19,atomic_ca:20,atomic_max:21,atomic_min:22,atomic_or:23,atomic_xchg:24,atomic_xor:25,attent:6,autotun:14,baselin:4,benchmark:[1,2,3,53],binari:0,broadcast_to:26,cach:3,challeng:11,co:27,comparison:57,compil:[12,57],comput:[1,2,3,9],config:13,creation:57,custom:7,distribut:0,do_bench:54,document:10,dot:28,dropout:4,exercis:4,exp:29,from:0,further:10,fuse:[2,6],gener:57,get:10,go:10,heurist:15,hint:57,index:57,instal:0,introduct:11,jit:16,kernel:[1,2,3,7],l2:3,languag:[12,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,57],layer:5,libdevic:7,librari:7,limit:12,linear:57,load:30,log:31,low:4,manipul:57,math:57,matrix:3,max:32,maximum:33,memori:[4,57],min:34,minimum:35,model:57,motiv:[2,3,11],multipl:3,multiple_of:36,normal:5,num_program:37,number:57,op:57,optim:3,packag:0,path:7,perf_report:55,perform:3,pointer:3,polyhedr:12,program:[12,57],program_id:38,python:[0,10],rand:39,randint4x:41,randint:40,randn:42,random:57,ravel:43,reduct:57,refer:[4,11,12],relat:12,represent:12,reshap:44,result:3,s:10,schedul:12,seed:4,shape:57,sigmoid:45,sin:46,softmax:[2,47],sourc:0,sqrt:48,squar:3,start:10,store:49,sum:50,test:[2,3,53,54,55,58],time:9,triton:[10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58],tutori:8,unit:[2,3],us:7,vector:1,welcom:10,where:51,work:12,zero:52}})
\ No newline at end of file
diff --git a/v1.1.2/.buildinfo b/v1.1.2/.buildinfo
index 54ccc4db6..02cbf1cdc 100644
--- a/v1.1.2/.buildinfo
+++ b/v1.1.2/.buildinfo
@@ -1,4 +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: 8b4cb503314520bbb947ce2280556d68
+config: e8aec65ae31029828cb789de30606264
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/v1.1.2/.doctrees/environment.pickle b/v1.1.2/.doctrees/environment.pickle
index dba120d42..4c638abe2 100644
Binary files a/v1.1.2/.doctrees/environment.pickle and b/v1.1.2/.doctrees/environment.pickle differ
diff --git a/v1.1.2/.doctrees/getting-started/installation.doctree b/v1.1.2/.doctrees/getting-started/installation.doctree
index 2fa441718..20d9d4282 100644
Binary files a/v1.1.2/.doctrees/getting-started/installation.doctree and b/v1.1.2/.doctrees/getting-started/installation.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/01-vector-add.doctree b/v1.1.2/.doctrees/getting-started/tutorials/01-vector-add.doctree
index fc06398b0..25959c031 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/01-vector-add.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/01-vector-add.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/02-fused-softmax.doctree b/v1.1.2/.doctrees/getting-started/tutorials/02-fused-softmax.doctree
index 46c8e0c4c..c7407dcf1 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/02-fused-softmax.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/02-fused-softmax.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree b/v1.1.2/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree
index 1e6d330eb..81feebe46 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/03-matrix-multiplication.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree b/v1.1.2/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree
index f1e6e53a1..c2310cc6d 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/04-low-memory-dropout.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/05-layer-norm.doctree b/v1.1.2/.doctrees/getting-started/tutorials/05-layer-norm.doctree
index e5ae4e78c..afa91c681 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/05-layer-norm.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/05-layer-norm.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/index.doctree b/v1.1.2/.doctrees/getting-started/tutorials/index.doctree
index 9e14a8b9a..1a503ef48 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/index.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/index.doctree differ
diff --git a/v1.1.2/.doctrees/getting-started/tutorials/sg_execution_times.doctree b/v1.1.2/.doctrees/getting-started/tutorials/sg_execution_times.doctree
index a8006299f..1af8436c6 100644
Binary files a/v1.1.2/.doctrees/getting-started/tutorials/sg_execution_times.doctree and b/v1.1.2/.doctrees/getting-started/tutorials/sg_execution_times.doctree differ
diff --git a/v1.1.2/.doctrees/index.doctree b/v1.1.2/.doctrees/index.doctree
index a3f810470..06f018d23 100644
Binary files a/v1.1.2/.doctrees/index.doctree and b/v1.1.2/.doctrees/index.doctree differ
diff --git a/v1.1.2/.doctrees/programming-guide/chapter-1/introduction.doctree b/v1.1.2/.doctrees/programming-guide/chapter-1/introduction.doctree
index 3e086a0d7..989de5866 100644
Binary files a/v1.1.2/.doctrees/programming-guide/chapter-1/introduction.doctree and b/v1.1.2/.doctrees/programming-guide/chapter-1/introduction.doctree differ
diff --git a/v1.1.2/.doctrees/programming-guide/chapter-2/related-work.doctree b/v1.1.2/.doctrees/programming-guide/chapter-2/related-work.doctree
index a88539174..ca915095d 100644
Binary files a/v1.1.2/.doctrees/programming-guide/chapter-2/related-work.doctree and b/v1.1.2/.doctrees/programming-guide/chapter-2/related-work.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.Config.doctree b/v1.1.2/.doctrees/python-api/generated/triton.Config.doctree
index 5d35aed81..6e58d6168 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.Config.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.Config.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.autotune.doctree b/v1.1.2/.doctrees/python-api/generated/triton.autotune.doctree
index 4b43af6f5..1efbec293 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.autotune.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.autotune.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.heuristics.doctree b/v1.1.2/.doctrees/python-api/generated/triton.heuristics.doctree
index 18d90b6d5..a787c8981 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.heuristics.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.heuristics.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.jit.doctree b/v1.1.2/.doctrees/python-api/generated/triton.jit.doctree
index ae0570160..34f567bc0 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.jit.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.jit.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.arange.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.arange.doctree
index c66263867..c32790ba4 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.arange.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.arange.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_add.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_add.doctree
index ee8326cd8..5e59c34b7 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_add.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_add.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_cas.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_cas.doctree
index ec1afe92c..64f1a4654 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_cas.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_cas.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_max.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_max.doctree
index 29d6c338f..02f4f8d56 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_max.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_max.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_min.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_min.doctree
index 3f86dd11c..1cf87cc7c 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_min.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_min.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree
index f9fb6707c..126d02dc9 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.broadcast_to.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.broadcast_to.doctree
index 62e58cf5d..b47db697e 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.broadcast_to.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.broadcast_to.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.cos.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.cos.doctree
index a203bf395..76c181ec3 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.cos.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.cos.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.dot.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.dot.doctree
index cd1bf412f..8a2519db8 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.dot.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.dot.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.exp.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.exp.doctree
index ceb36a7b5..4fccc4818 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.exp.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.exp.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.load.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.load.doctree
index a2bd342a1..08de90bba 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.load.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.load.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.log.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.log.doctree
index 8bef8b8e2..3e57fe688 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.log.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.log.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.max.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.max.doctree
index 3dc8868ea..e611b5408 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.max.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.max.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.maximum.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.maximum.doctree
index 3f9bf1dce..f5a421ab7 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.maximum.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.maximum.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.min.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.min.doctree
index e09ed2b8f..88441f46d 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.min.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.min.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.minimum.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.minimum.doctree
index 831ea8a5f..08cfe7a68 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.minimum.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.minimum.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.multiple_of.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.multiple_of.doctree
index 16174d290..6bae977aa 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.multiple_of.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.multiple_of.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.num_programs.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.num_programs.doctree
index fb94b4bf5..b41c22f93 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.num_programs.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.num_programs.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.program_id.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.program_id.doctree
index 4bf7c78b8..a156c9548 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.program_id.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.program_id.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.rand.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.rand.doctree
index 9f1eedcf4..6ca428964 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.rand.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.rand.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.randint.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.randint.doctree
index 7ccd0e940..3505d906e 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.randint.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.randint.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.randint4x.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.randint4x.doctree
index bc9b317d0..69c38b62c 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.randint4x.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.randint4x.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.randn.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.randn.doctree
index 415085b3e..827dc4ca8 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.randn.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.randn.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.ravel.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.ravel.doctree
index ba3a91a52..88e24afff 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.ravel.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.ravel.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.reshape.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.reshape.doctree
index 4f6e65803..b425d3be4 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.reshape.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.reshape.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.sigmoid.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.sigmoid.doctree
index b8933b856..bcaee66a5 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.sigmoid.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.sigmoid.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.sin.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.sin.doctree
index 79d9c5813..5e76bdc9f 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.sin.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.sin.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.softmax.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.softmax.doctree
index aea65ee2b..26e60faec 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.softmax.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.softmax.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.sqrt.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.sqrt.doctree
index af67bf90f..844be4f62 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.sqrt.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.sqrt.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.store.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.store.doctree
index fcc522171..2b64dac5f 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.store.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.store.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.sum.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.sum.doctree
index 8ae12ee3d..8317ce2f6 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.sum.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.sum.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.where.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.where.doctree
index 6ed1370f6..763701770 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.where.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.where.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.language.zeros.doctree b/v1.1.2/.doctrees/python-api/generated/triton.language.zeros.doctree
index 7276fec79..e9c0c0199 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.language.zeros.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.language.zeros.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.testing.Benchmark.doctree b/v1.1.2/.doctrees/python-api/generated/triton.testing.Benchmark.doctree
index 582dc5d5b..dd4eb4f73 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.testing.Benchmark.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.testing.Benchmark.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.testing.do_bench.doctree b/v1.1.2/.doctrees/python-api/generated/triton.testing.do_bench.doctree
index c8189453e..6c4cab914 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.testing.do_bench.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.testing.do_bench.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/generated/triton.testing.perf_report.doctree b/v1.1.2/.doctrees/python-api/generated/triton.testing.perf_report.doctree
index 9ed1fdd3f..0d1b2e972 100644
Binary files a/v1.1.2/.doctrees/python-api/generated/triton.testing.perf_report.doctree and b/v1.1.2/.doctrees/python-api/generated/triton.testing.perf_report.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/triton.doctree b/v1.1.2/.doctrees/python-api/triton.doctree
index ac132e96c..4ff1a358e 100644
Binary files a/v1.1.2/.doctrees/python-api/triton.doctree and b/v1.1.2/.doctrees/python-api/triton.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/triton.language.doctree b/v1.1.2/.doctrees/python-api/triton.language.doctree
index 4ed1671e7..c22625650 100644
Binary files a/v1.1.2/.doctrees/python-api/triton.language.doctree and b/v1.1.2/.doctrees/python-api/triton.language.doctree differ
diff --git a/v1.1.2/.doctrees/python-api/triton.testing.doctree b/v1.1.2/.doctrees/python-api/triton.testing.doctree
index 3fad42ab9..347a7e36a 100644
Binary files a/v1.1.2/.doctrees/python-api/triton.testing.doctree and b/v1.1.2/.doctrees/python-api/triton.testing.doctree differ
diff --git a/v1.1.2/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip b/v1.1.2/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip
index 1ee4e052d..0034ea984 100644
Binary files a/v1.1.2/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip and b/v1.1.2/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip differ
diff --git a/v1.1.2/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip b/v1.1.2/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip
index 9c82cc509..182c05644 100644
Binary files a/v1.1.2/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip and b/v1.1.2/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip differ
diff --git a/v1.1.2/_images/sphx_glr_01-vector-add_001.png b/v1.1.2/_images/sphx_glr_01-vector-add_001.png
index 17df149d5..4ba803431 100644
Binary files a/v1.1.2/_images/sphx_glr_01-vector-add_001.png and b/v1.1.2/_images/sphx_glr_01-vector-add_001.png differ
diff --git a/v1.1.2/_images/sphx_glr_01-vector-add_thumb.png b/v1.1.2/_images/sphx_glr_01-vector-add_thumb.png
index 50547551e..20d228ea2 100644
Binary files a/v1.1.2/_images/sphx_glr_01-vector-add_thumb.png and b/v1.1.2/_images/sphx_glr_01-vector-add_thumb.png differ
diff --git a/v1.1.2/_images/sphx_glr_02-fused-softmax_001.png b/v1.1.2/_images/sphx_glr_02-fused-softmax_001.png
index 93ba633d0..012d770d7 100644
Binary files a/v1.1.2/_images/sphx_glr_02-fused-softmax_001.png and b/v1.1.2/_images/sphx_glr_02-fused-softmax_001.png differ
diff --git a/v1.1.2/_images/sphx_glr_02-fused-softmax_thumb.png b/v1.1.2/_images/sphx_glr_02-fused-softmax_thumb.png
index 9d8afe06a..ef5befb95 100644
Binary files a/v1.1.2/_images/sphx_glr_02-fused-softmax_thumb.png and b/v1.1.2/_images/sphx_glr_02-fused-softmax_thumb.png differ
diff --git a/v1.1.2/_images/sphx_glr_03-matrix-multiplication_001.png b/v1.1.2/_images/sphx_glr_03-matrix-multiplication_001.png
index 3c24c7018..8aa77dba6 100644
Binary files a/v1.1.2/_images/sphx_glr_03-matrix-multiplication_001.png and b/v1.1.2/_images/sphx_glr_03-matrix-multiplication_001.png differ
diff --git a/v1.1.2/_images/sphx_glr_03-matrix-multiplication_thumb.png b/v1.1.2/_images/sphx_glr_03-matrix-multiplication_thumb.png
index 568fd99ba..bc6864315 100644
Binary files a/v1.1.2/_images/sphx_glr_03-matrix-multiplication_thumb.png and b/v1.1.2/_images/sphx_glr_03-matrix-multiplication_thumb.png differ
diff --git a/v1.1.2/_images/sphx_glr_05-layer-norm_001.png b/v1.1.2/_images/sphx_glr_05-layer-norm_001.png
index a771d1be0..af9e0440d 100644
Binary files a/v1.1.2/_images/sphx_glr_05-layer-norm_001.png and b/v1.1.2/_images/sphx_glr_05-layer-norm_001.png differ
diff --git a/v1.1.2/_images/sphx_glr_05-layer-norm_thumb.png b/v1.1.2/_images/sphx_glr_05-layer-norm_thumb.png
index 164caa21f..abf16c530 100644
Binary files a/v1.1.2/_images/sphx_glr_05-layer-norm_thumb.png and b/v1.1.2/_images/sphx_glr_05-layer-norm_thumb.png differ
diff --git a/v1.1.2/_sources/getting-started/tutorials/01-vector-add.rst.txt b/v1.1.2/_sources/getting-started/tutorials/01-vector-add.rst.txt
index a46dd9a73..22b800914 100644
--- a/v1.1.2/_sources/getting-started/tutorials/01-vector-add.rst.txt
+++ b/v1.1.2/_sources/getting-started/tutorials/01-vector-add.rst.txt
@@ -233,18 +233,18 @@ We can now run the decorated function above. Pass `print_data=True` to see the p
                size      Triton       Torch
     0        4096.0    9.600000    9.600000
     1        8192.0   19.200000   19.200000
-    2       16384.0   38.400001   38.400001
-    3       32768.0   76.800002   63.999998
+    2       16384.0   31.999999   38.400001
+    3       32768.0   76.800002   76.800002
     4       65536.0  127.999995  127.999995
     5      131072.0  219.428568  219.428568
-    6      262144.0  341.333321  384.000001
+    6      262144.0  341.333321  341.333321
     7      524288.0  472.615390  472.615390
     8     1048576.0  614.400016  614.400016
     9     2097152.0  722.823517  722.823517
     10    4194304.0  780.190482  780.190482
     11    8388608.0  812.429770  812.429770
     12   16777216.0  833.084721  833.084721
-    13   33554432.0  842.004273  842.004273
+    13   33554432.0  842.004273  843.811163
     14   67108864.0  847.448255  848.362445
     15  134217728.0  849.737435  850.656574
 
@@ -254,7 +254,7 @@ We can now run the decorated function above. Pass `print_data=True` to see the p
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 1 minutes  43.469 seconds)
+   **Total running time of the script:** ( 1 minutes  46.992 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_01-vector-add.py:
diff --git a/v1.1.2/_sources/getting-started/tutorials/02-fused-softmax.rst.txt b/v1.1.2/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
index 85dcec88a..803b0d4da 100644
--- a/v1.1.2/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
+++ b/v1.1.2/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
@@ -286,17 +286,17 @@ We will then compare its performance against (1) :code:`torch.softmax` and (2) t
 
     softmax-performance:
               N      Triton  Torch (native)  Torch (jit)
-    0     256.0  512.000001      546.133347   190.511628
+    0     256.0  512.000001      546.133347   188.321838
     1     384.0  614.400016      585.142862   153.600004
     2     512.0  655.360017      606.814814   154.566038
     3     640.0  682.666684      640.000002   160.000000
     4     768.0  722.823517      664.216187   162.754967
     ..      ...         ...             ...          ...
-    93  12160.0  814.058574      406.179533   198.936606
-    94  12288.0  814.111783      416.101597   199.298541
-    95  12416.0  812.498981      412.149375   198.954424
-    96  12544.0  812.566838      412.971190   199.111113
-    97  12672.0  812.633240      412.097543   199.264875
+    93  12160.0  814.058574      406.179533   198.530610
+    94  12288.0  814.111783      415.661740   198.895304
+    95  12416.0  812.498981      412.149375   198.457532
+    96  12544.0  812.566838      412.971190   198.716830
+    97  12672.0  812.633240      412.097543   198.873965
 
     [98 rows x 4 columns]
 
@@ -314,7 +314,7 @@ In the above plot, we can see that:
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 3 minutes  23.739 seconds)
+   **Total running time of the script:** ( 3 minutes  23.548 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_02-fused-softmax.py:
diff --git a/v1.1.2/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt b/v1.1.2/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
index 0f5f4cbf9..d0e75a3dc 100644
--- a/v1.1.2/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
+++ b/v1.1.2/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
@@ -462,8 +462,8 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
 
     matmul-performance:
              M     cuBLAS  ...     Triton  Triton (+ LeakyReLU)
-    0    256.0   2.730667  ...   3.276800              2.978909
-    1    384.0   7.372800  ...   8.507077              8.507077
+    0    256.0   2.978909  ...   2.978909              3.276800
+    1    384.0   7.372800  ...   7.899428              7.899428
     2    512.0  14.563555  ...  16.384000             16.384000
     3    640.0  22.260869  ...  24.380953             24.380953
     4    768.0  32.768000  ...  34.028308             34.028308
@@ -472,27 +472,27 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
     7   1152.0  45.242181  ...  46.656000             46.656000
     8   1280.0  51.200001  ...  56.888887             56.888887
     9   1408.0  64.138541  ...  67.305878             67.305878
-    10  1536.0  80.430545  ...  79.526831             79.526831
-    11  1664.0  63.372618  ...  62.492442             62.061463
-    12  1792.0  72.983276  ...  72.512412             72.047592
-    13  1920.0  69.467336  ...  70.530615             70.172588
+    10  1536.0  80.430545  ...  79.526831             78.643199
+    11  1664.0  62.929456  ...  62.061463             62.061463
+    12  1792.0  72.512412  ...  59.310944             71.588687
+    13  1920.0  69.120002  ...  70.530615             70.530615
     14  2048.0  73.908442  ...  76.959706             76.959706
-    15  2176.0  83.500614  ...  85.998493             85.269692
-    16  2304.0  68.251065  ...  76.809875             76.076024
-    17  2432.0  71.305746  ...  75.118889             82.630777
-    18  2560.0  77.833728  ...  80.709358             80.908642
-    19  2688.0  83.004501  ...  89.464755             89.044730
-    20  2816.0  79.733474  ...  83.233226             82.602666
-    21  2944.0  82.237674  ...  82.646820             82.921853
-    22  3072.0  81.589488  ...  84.135370             88.473602
-    23  3200.0  84.099871  ...  94.955488             95.096582
-    24  3328.0  81.530349  ...  84.795401             84.596116
-    25  3456.0  81.974138  ...  91.407671             85.585527
-    26  3584.0  82.114517  ...  95.553020             90.458141
-    27  3712.0  80.627396  ...  86.044224             88.522238
-    28  3840.0  81.859361  ...  87.980905             91.398346
-    29  3968.0  85.841672  ...  91.885495             85.871877
-    30  4096.0  93.858555  ...  86.369197             84.254693
+    15  2176.0  83.155572  ...  86.367588             85.269692
+    16  2304.0  68.251065  ...  76.809875             76.319081
+    17  2432.0  71.305746  ...  82.388456             84.877538
+    18  2560.0  77.833728  ...  81.310171             81.108913
+    19  2688.0  83.552988  ...  89.044730             89.464755
+    20  2816.0  79.733474  ...  83.712490             82.446516
+    21  2944.0  81.698415  ...  81.832567             82.102191
+    22  3072.0  82.062468  ...  88.612060             89.170242
+    23  3200.0  82.262212  ...  93.704243             94.395283
+    24  3328.0  84.003845  ...  84.101981             83.905938
+    25  3456.0  79.508447  ...  84.775569             91.304157
+    26  3584.0  87.042978  ...  90.365811             97.522120
+    27  3712.0  85.601834  ...  87.208507             87.552452
+    28  3840.0  80.960466  ...  88.900318             90.095313
+    29  3968.0  88.873953  ...  85.271796             87.723894
+    30  4096.0  93.498941  ...  93.336389             86.258181
 
     [31 rows x 5 columns]
 
@@ -502,7 +502,7 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 5 minutes  26.015 seconds)
+   **Total running time of the script:** ( 5 minutes  24.620 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_03-matrix-multiplication.py:
diff --git a/v1.1.2/_sources/getting-started/tutorials/05-layer-norm.rst.txt b/v1.1.2/_sources/getting-started/tutorials/05-layer-norm.rst.txt
index cf323f39b..2d90278e0 100644
--- a/v1.1.2/_sources/getting-started/tutorials/05-layer-norm.rst.txt
+++ b/v1.1.2/_sources/getting-started/tutorials/05-layer-norm.rst.txt
@@ -38,36 +38,36 @@ Layer Normalization
 
     layer-norm-backward:
               N      Triton       Torch        Apex
-    0    1024.0  307.200008   99.096776  311.088617
+    0    1024.0  311.088617   99.096776  311.088617
     1    1536.0  351.085717  133.083026  338.201833
-    2    2048.0  423.724127  162.217818  336.657521
-    3    2560.0  461.954908  182.857144  330.322572
-    4    3072.0  515.580429  191.501303  320.556515
+    2    2048.0  423.724127  162.217818  325.509933
+    3    2560.0  461.954908  182.857144  326.808501
+    4    3072.0  515.580429  191.501303  317.793096
     5    3584.0  554.941930  208.271186  308.301075
-    6    4096.0  568.231237  220.412561  297.890900
-    7    4608.0  498.162157  231.849059  287.251954
-    8    5120.0  525.128191  242.845844  283.787523
-    9    5632.0  538.517949  243.545956  291.310338
-    10   6144.0  542.117638  248.661056  286.322318
+    6    4096.0  568.231237  220.412561  294.323343
+    7    4608.0  498.162157  231.849059  291.799469
+    8    5120.0  525.128191  242.845844  288.450695
+    9    5632.0  538.517949  243.326741  290.683877
+    10   6144.0  544.118087  248.661056  285.767458
     11   6656.0  527.207907  256.000009  286.279570
-    12   7168.0  507.469040  262.243907  288.160801
-    13   7680.0  482.513091  260.338991  277.172933
-    14   8192.0  460.440290  268.957600  286.600589
+    12   7168.0  507.469040  262.243907  288.644296
+    13   7680.0  482.513091  260.707203  273.066660
+    14   8192.0  460.440290  269.326017  286.600589
     15   8704.0  416.958106  267.815384  284.987724
-    16   9216.0  428.651187  272.729961  289.507855
-    17   9728.0  438.857162  280.615388  288.950501
+    16   9216.0  428.651187  273.066667  289.507855
+    17   9728.0  439.683593  280.278512  288.950501
     18  10240.0  447.650282  286.433562  290.153487
-    19  10752.0  429.364408  246.464170  290.267711
-    20  11264.0  429.104745  245.091565  285.767446
-    21  11776.0  421.826879  249.447482  288.686414
-    22  12288.0  420.102570  254.453844  294.911986
-    23  12800.0  415.696898  253.465340  289.811310
-    24  13312.0  412.242569  252.559690  290.179836
+    19  10752.0  430.079980  246.699797  290.267711
+    20  11264.0  429.786952  245.091565  285.767446
+    21  11776.0  421.198220  249.447482  288.686414
+    22  12288.0  420.102570  254.453844  295.207195
+    23  12800.0  415.696898  253.465340  288.180121
+    24  13312.0  412.242569  252.759501  290.179836
     25  13824.0  405.098897  257.190689  292.571423
-    26  14336.0  397.761846  254.673567  286.242939
-    27  14848.0  383.999990  257.293872  289.012175
-    28  15360.0  374.253788  257.610071  287.550706
-    29  15872.0  366.982663  262.708969  291.006885
+    26  14336.0  398.222222  254.673567  286.481278
+    27  14848.0  384.414233  257.108233  289.246765
+    28  15360.0  374.634130  257.610071  286.433562
+    29  15872.0  367.336555  262.708969  291.229369
 
 
 
@@ -329,7 +329,7 @@ Layer Normalization
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 2 minutes  12.369 seconds)
+   **Total running time of the script:** ( 2 minutes  12.443 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_05-layer-norm.py:
diff --git a/v1.1.2/_sources/getting-started/tutorials/sg_execution_times.rst.txt b/v1.1.2/_sources/getting-started/tutorials/sg_execution_times.rst.txt
index 20a9f8f82..c7c440312 100644
--- a/v1.1.2/_sources/getting-started/tutorials/sg_execution_times.rst.txt
+++ b/v1.1.2/_sources/getting-started/tutorials/sg_execution_times.rst.txt
@@ -5,16 +5,16 @@
 
 Computation times
 =================
-**12:45.603** total execution time for **getting-started_tutorials** files:
+**12:47.614** total execution time for **getting-started_tutorials** files:
 
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 05:26.015 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 05:24.620 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:23.739 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:23.548 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 02:12.369 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 02:12.443 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:43.469 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:46.992 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
 | :ref:`sphx_glr_getting-started_tutorials_04-low-memory-dropout.py` (``04-low-memory-dropout.py``)       | 00:00.011 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
diff --git a/v1.1.2/getting-started/tutorials/01-vector-add.html b/v1.1.2/getting-started/tutorials/01-vector-add.html
index 85257dbc0..027e10ba7 100644
--- a/v1.1.2/getting-started/tutorials/01-vector-add.html
+++ b/v1.1.2/getting-started/tutorials/01-vector-add.html
@@ -323,23 +323,23 @@ for different problem sizes.</p>
            size      Triton       Torch
 0        4096.0    9.600000    9.600000
 1        8192.0   19.200000   19.200000
-2       16384.0   38.400001   38.400001
-3       32768.0   76.800002   63.999998
+2       16384.0   31.999999   38.400001
+3       32768.0   76.800002   76.800002
 4       65536.0  127.999995  127.999995
 5      131072.0  219.428568  219.428568
-6      262144.0  341.333321  384.000001
+6      262144.0  341.333321  341.333321
 7      524288.0  472.615390  472.615390
 8     1048576.0  614.400016  614.400016
 9     2097152.0  722.823517  722.823517
 10    4194304.0  780.190482  780.190482
 11    8388608.0  812.429770  812.429770
 12   16777216.0  833.084721  833.084721
-13   33554432.0  842.004273  842.004273
+13   33554432.0  842.004273  843.811163
 14   67108864.0  847.448255  848.362445
 15  134217728.0  849.737435  850.656574
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  43.469 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  46.992 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-01-vector-add-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/62d97d49a32414049819dd8bb8378080/01-vector-add.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">01-vector-add.py</span></code></a></p>
diff --git a/v1.1.2/getting-started/tutorials/02-fused-softmax.html b/v1.1.2/getting-started/tutorials/02-fused-softmax.html
index ee08750ff..122393485 100644
--- a/v1.1.2/getting-started/tutorials/02-fused-softmax.html
+++ b/v1.1.2/getting-started/tutorials/02-fused-softmax.html
@@ -374,17 +374,17 @@ We will then compare its performance against (1) <code class="code docutils lite
 <p class="sphx-glr-script-out">Out:</p>
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>softmax-performance:
           N      Triton  Torch (native)  Torch (jit)
-0     256.0  512.000001      546.133347   190.511628
+0     256.0  512.000001      546.133347   188.321838
 1     384.0  614.400016      585.142862   153.600004
 2     512.0  655.360017      606.814814   154.566038
 3     640.0  682.666684      640.000002   160.000000
 4     768.0  722.823517      664.216187   162.754967
 ..      ...         ...             ...          ...
-93  12160.0  814.058574      406.179533   198.936606
-94  12288.0  814.111783      416.101597   199.298541
-95  12416.0  812.498981      412.149375   198.954424
-96  12544.0  812.566838      412.971190   199.111113
-97  12672.0  812.633240      412.097543   199.264875
+93  12160.0  814.058574      406.179533   198.530610
+94  12288.0  814.111783      415.661740   198.895304
+95  12416.0  812.498981      412.149375   198.457532
+96  12544.0  812.566838      412.971190   198.716830
+97  12672.0  812.633240      412.097543   198.873965
 
 [98 rows x 4 columns]
 </pre></div>
@@ -397,7 +397,7 @@ We will then compare its performance against (1) <code class="code docutils lite
 Note however that the PyTorch <cite>softmax</cite> operation is more general and will works on tensors of any shape.</p></li>
 </ul>
 </div></blockquote>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 3 minutes  23.739 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 3 minutes  23.548 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-02-fused-softmax-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/d91442ac2982c4e0cc3ab0f43534afbc/02-fused-softmax.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">02-fused-softmax.py</span></code></a></p>
diff --git a/v1.1.2/getting-started/tutorials/03-matrix-multiplication.html b/v1.1.2/getting-started/tutorials/03-matrix-multiplication.html
index 9a204a8b5..6a2adf5d0 100644
--- a/v1.1.2/getting-started/tutorials/03-matrix-multiplication.html
+++ b/v1.1.2/getting-started/tutorials/03-matrix-multiplication.html
@@ -568,8 +568,8 @@ torch_output=tensor([[  1.1045, -36.9688,  31.4688,  ..., -11.3906,  24.4531, -3
 <p class="sphx-glr-script-out">Out:</p>
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>matmul-performance:
          M     cuBLAS  ...     Triton  Triton (+ LeakyReLU)
-0    256.0   2.730667  ...   3.276800              2.978909
-1    384.0   7.372800  ...   8.507077              8.507077
+0    256.0   2.978909  ...   2.978909              3.276800
+1    384.0   7.372800  ...   7.899428              7.899428
 2    512.0  14.563555  ...  16.384000             16.384000
 3    640.0  22.260869  ...  24.380953             24.380953
 4    768.0  32.768000  ...  34.028308             34.028308
@@ -578,32 +578,32 @@ torch_output=tensor([[  1.1045, -36.9688,  31.4688,  ..., -11.3906,  24.4531, -3
 7   1152.0  45.242181  ...  46.656000             46.656000
 8   1280.0  51.200001  ...  56.888887             56.888887
 9   1408.0  64.138541  ...  67.305878             67.305878
-10  1536.0  80.430545  ...  79.526831             79.526831
-11  1664.0  63.372618  ...  62.492442             62.061463
-12  1792.0  72.983276  ...  72.512412             72.047592
-13  1920.0  69.467336  ...  70.530615             70.172588
+10  1536.0  80.430545  ...  79.526831             78.643199
+11  1664.0  62.929456  ...  62.061463             62.061463
+12  1792.0  72.512412  ...  59.310944             71.588687
+13  1920.0  69.120002  ...  70.530615             70.530615
 14  2048.0  73.908442  ...  76.959706             76.959706
-15  2176.0  83.500614  ...  85.998493             85.269692
-16  2304.0  68.251065  ...  76.809875             76.076024
-17  2432.0  71.305746  ...  75.118889             82.630777
-18  2560.0  77.833728  ...  80.709358             80.908642
-19  2688.0  83.004501  ...  89.464755             89.044730
-20  2816.0  79.733474  ...  83.233226             82.602666
-21  2944.0  82.237674  ...  82.646820             82.921853
-22  3072.0  81.589488  ...  84.135370             88.473602
-23  3200.0  84.099871  ...  94.955488             95.096582
-24  3328.0  81.530349  ...  84.795401             84.596116
-25  3456.0  81.974138  ...  91.407671             85.585527
-26  3584.0  82.114517  ...  95.553020             90.458141
-27  3712.0  80.627396  ...  86.044224             88.522238
-28  3840.0  81.859361  ...  87.980905             91.398346
-29  3968.0  85.841672  ...  91.885495             85.871877
-30  4096.0  93.858555  ...  86.369197             84.254693
+15  2176.0  83.155572  ...  86.367588             85.269692
+16  2304.0  68.251065  ...  76.809875             76.319081
+17  2432.0  71.305746  ...  82.388456             84.877538
+18  2560.0  77.833728  ...  81.310171             81.108913
+19  2688.0  83.552988  ...  89.044730             89.464755
+20  2816.0  79.733474  ...  83.712490             82.446516
+21  2944.0  81.698415  ...  81.832567             82.102191
+22  3072.0  82.062468  ...  88.612060             89.170242
+23  3200.0  82.262212  ...  93.704243             94.395283
+24  3328.0  84.003845  ...  84.101981             83.905938
+25  3456.0  79.508447  ...  84.775569             91.304157
+26  3584.0  87.042978  ...  90.365811             97.522120
+27  3712.0  85.601834  ...  87.208507             87.552452
+28  3840.0  80.960466  ...  88.900318             90.095313
+29  3968.0  88.873953  ...  85.271796             87.723894
+30  4096.0  93.498941  ...  93.336389             86.258181
 
 [31 rows x 5 columns]
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 5 minutes  26.015 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 5 minutes  24.620 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-03-matrix-multiplication-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/d5fee5b55a64e47f1b5724ec39adf171/03-matrix-multiplication.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">03-matrix-multiplication.py</span></code></a></p>
diff --git a/v1.1.2/getting-started/tutorials/05-layer-norm.html b/v1.1.2/getting-started/tutorials/05-layer-norm.html
index 68103ab9f..6060c238d 100644
--- a/v1.1.2/getting-started/tutorials/05-layer-norm.html
+++ b/v1.1.2/getting-started/tutorials/05-layer-norm.html
@@ -194,36 +194,36 @@ to download the full example code</p>
 <p class="sphx-glr-script-out">Out:</p>
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>layer-norm-backward:
           N      Triton       Torch        Apex
-0    1024.0  307.200008   99.096776  311.088617
+0    1024.0  311.088617   99.096776  311.088617
 1    1536.0  351.085717  133.083026  338.201833
-2    2048.0  423.724127  162.217818  336.657521
-3    2560.0  461.954908  182.857144  330.322572
-4    3072.0  515.580429  191.501303  320.556515
+2    2048.0  423.724127  162.217818  325.509933
+3    2560.0  461.954908  182.857144  326.808501
+4    3072.0  515.580429  191.501303  317.793096
 5    3584.0  554.941930  208.271186  308.301075
-6    4096.0  568.231237  220.412561  297.890900
-7    4608.0  498.162157  231.849059  287.251954
-8    5120.0  525.128191  242.845844  283.787523
-9    5632.0  538.517949  243.545956  291.310338
-10   6144.0  542.117638  248.661056  286.322318
+6    4096.0  568.231237  220.412561  294.323343
+7    4608.0  498.162157  231.849059  291.799469
+8    5120.0  525.128191  242.845844  288.450695
+9    5632.0  538.517949  243.326741  290.683877
+10   6144.0  544.118087  248.661056  285.767458
 11   6656.0  527.207907  256.000009  286.279570
-12   7168.0  507.469040  262.243907  288.160801
-13   7680.0  482.513091  260.338991  277.172933
-14   8192.0  460.440290  268.957600  286.600589
+12   7168.0  507.469040  262.243907  288.644296
+13   7680.0  482.513091  260.707203  273.066660
+14   8192.0  460.440290  269.326017  286.600589
 15   8704.0  416.958106  267.815384  284.987724
-16   9216.0  428.651187  272.729961  289.507855
-17   9728.0  438.857162  280.615388  288.950501
+16   9216.0  428.651187  273.066667  289.507855
+17   9728.0  439.683593  280.278512  288.950501
 18  10240.0  447.650282  286.433562  290.153487
-19  10752.0  429.364408  246.464170  290.267711
-20  11264.0  429.104745  245.091565  285.767446
-21  11776.0  421.826879  249.447482  288.686414
-22  12288.0  420.102570  254.453844  294.911986
-23  12800.0  415.696898  253.465340  289.811310
-24  13312.0  412.242569  252.559690  290.179836
+19  10752.0  430.079980  246.699797  290.267711
+20  11264.0  429.786952  245.091565  285.767446
+21  11776.0  421.198220  249.447482  288.686414
+22  12288.0  420.102570  254.453844  295.207195
+23  12800.0  415.696898  253.465340  288.180121
+24  13312.0  412.242569  252.759501  290.179836
 25  13824.0  405.098897  257.190689  292.571423
-26  14336.0  397.761846  254.673567  286.242939
-27  14848.0  383.999990  257.293872  289.012175
-28  15360.0  374.253788  257.610071  287.550706
-29  15872.0  366.982663  262.708969  291.006885
+26  14336.0  398.222222  254.673567  286.481278
+27  14848.0  384.414233  257.108233  289.246765
+28  15360.0  374.634130  257.610071  286.433562
+29  15872.0  367.336555  262.708969  291.229369
 </pre></div>
 </div>
 <div class="line-block">
@@ -477,7 +477,7 @@ to download the full example code</p>
 <span class="n">bench_layer_norm</span><span class="o">.</span><span class="n">run</span><span class="p">(</span><span class="n">save_path</span><span class="o">=</span><span class="s1">&#39;.&#39;</span><span class="p">,</span> <span class="n">print_data</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 2 minutes  12.369 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 2 minutes  12.443 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-05-layer-norm-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/935c0dd0fbeb4b2e69588471cbb2d4b2/05-layer-norm.py"><code class="xref download docutils literal notranslate"><span class="pre">Download</span> <span class="pre">Python</span> <span class="pre">source</span> <span class="pre">code:</span> <span class="pre">05-layer-norm.py</span></code></a></p>
diff --git a/v1.1.2/getting-started/tutorials/sg_execution_times.html b/v1.1.2/getting-started/tutorials/sg_execution_times.html
index 195a62662..e2e84820c 100644
--- a/v1.1.2/getting-started/tutorials/sg_execution_times.html
+++ b/v1.1.2/getting-started/tutorials/sg_execution_times.html
@@ -174,7 +174,7 @@
             
   <div class="section" id="computation-times">
 <span id="sphx-glr-getting-started-tutorials-sg-execution-times"></span><h1>Computation times<a class="headerlink" href="#computation-times" title="Permalink to this headline">¶</a></h1>
-<p><strong>12:45.603</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
+<p><strong>12:47.614</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
 <table class="docutils align-default">
 <colgroup>
 <col style="width: 85%" />
@@ -183,19 +183,19 @@
 </colgroup>
 <tbody>
 <tr class="row-odd"><td><p><a class="reference internal" href="03-matrix-multiplication.html#sphx-glr-getting-started-tutorials-03-matrix-multiplication-py"><span class="std std-ref">Matrix Multiplication</span></a> (<code class="docutils literal notranslate"><span class="pre">03-matrix-multiplication.py</span></code>)</p></td>
-<td><p>05:26.015</p></td>
+<td><p>05:24.620</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-even"><td><p><a class="reference internal" href="02-fused-softmax.html#sphx-glr-getting-started-tutorials-02-fused-softmax-py"><span class="std std-ref">Fused Softmax</span></a> (<code class="docutils literal notranslate"><span class="pre">02-fused-softmax.py</span></code>)</p></td>
-<td><p>03:23.739</p></td>
+<td><p>03:23.548</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-odd"><td><p><a class="reference internal" href="05-layer-norm.html#sphx-glr-getting-started-tutorials-05-layer-norm-py"><span class="std std-ref">Layer Normalization</span></a> (<code class="docutils literal notranslate"><span class="pre">05-layer-norm.py</span></code>)</p></td>
-<td><p>02:12.369</p></td>
+<td><p>02:12.443</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-even"><td><p><a class="reference internal" href="01-vector-add.html#sphx-glr-getting-started-tutorials-01-vector-add-py"><span class="std std-ref">Vector Addition</span></a> (<code class="docutils literal notranslate"><span class="pre">01-vector-add.py</span></code>)</p></td>
-<td><p>01:43.469</p></td>
+<td><p>01:46.992</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-odd"><td><p><a class="reference internal" href="04-low-memory-dropout.html#sphx-glr-getting-started-tutorials-04-low-memory-dropout-py"><span class="std std-ref">Low-Memory Dropout</span></a> (<code class="docutils literal notranslate"><span class="pre">04-low-memory-dropout.py</span></code>)</p></td>
diff --git a/v1.1.2/searchindex.js b/v1.1.2/searchindex.js
index 48b58dcb1..d4b19ea66 100644
--- a/v1.1.2/searchindex.js
+++ b/v1.1.2/searchindex.js
@@ -1 +1 @@
-Search.setIndex({docnames:["getting-started/installation","getting-started/tutorials/01-vector-add","getting-started/tutorials/02-fused-softmax","getting-started/tutorials/03-matrix-multiplication","getting-started/tutorials/04-low-memory-dropout","getting-started/tutorials/05-layer-norm","getting-started/tutorials/index","getting-started/tutorials/sg_execution_times","index","programming-guide/chapter-1/introduction","programming-guide/chapter-2/related-work","python-api/generated/triton.Config","python-api/generated/triton.autotune","python-api/generated/triton.heuristics","python-api/generated/triton.jit","python-api/generated/triton.language.arange","python-api/generated/triton.language.atomic_add","python-api/generated/triton.language.atomic_cas","python-api/generated/triton.language.atomic_max","python-api/generated/triton.language.atomic_min","python-api/generated/triton.language.atomic_xchg","python-api/generated/triton.language.broadcast_to","python-api/generated/triton.language.cos","python-api/generated/triton.language.dot","python-api/generated/triton.language.exp","python-api/generated/triton.language.load","python-api/generated/triton.language.log","python-api/generated/triton.language.max","python-api/generated/triton.language.maximum","python-api/generated/triton.language.min","python-api/generated/triton.language.minimum","python-api/generated/triton.language.multiple_of","python-api/generated/triton.language.num_programs","python-api/generated/triton.language.program_id","python-api/generated/triton.language.rand","python-api/generated/triton.language.randint","python-api/generated/triton.language.randint4x","python-api/generated/triton.language.randn","python-api/generated/triton.language.ravel","python-api/generated/triton.language.reshape","python-api/generated/triton.language.sigmoid","python-api/generated/triton.language.sin","python-api/generated/triton.language.softmax","python-api/generated/triton.language.sqrt","python-api/generated/triton.language.store","python-api/generated/triton.language.sum","python-api/generated/triton.language.where","python-api/generated/triton.language.zeros","python-api/generated/triton.testing.Benchmark","python-api/generated/triton.testing.do_bench","python-api/generated/triton.testing.perf_report","python-api/triton","python-api/triton.language","python-api/triton.testing"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["getting-started/installation.rst","getting-started/tutorials/01-vector-add.rst","getting-started/tutorials/02-fused-softmax.rst","getting-started/tutorials/03-matrix-multiplication.rst","getting-started/tutorials/04-low-memory-dropout.rst","getting-started/tutorials/05-layer-norm.rst","getting-started/tutorials/index.rst","getting-started/tutorials/sg_execution_times.rst","index.rst","programming-guide/chapter-1/introduction.rst","programming-guide/chapter-2/related-work.rst","python-api/generated/triton.Config.rst","python-api/generated/triton.autotune.rst","python-api/generated/triton.heuristics.rst","python-api/generated/triton.jit.rst","python-api/generated/triton.language.arange.rst","python-api/generated/triton.language.atomic_add.rst","python-api/generated/triton.language.atomic_cas.rst","python-api/generated/triton.language.atomic_max.rst","python-api/generated/triton.language.atomic_min.rst","python-api/generated/triton.language.atomic_xchg.rst","python-api/generated/triton.language.broadcast_to.rst","python-api/generated/triton.language.cos.rst","python-api/generated/triton.language.dot.rst","python-api/generated/triton.language.exp.rst","python-api/generated/triton.language.load.rst","python-api/generated/triton.language.log.rst","python-api/generated/triton.language.max.rst","python-api/generated/triton.language.maximum.rst","python-api/generated/triton.language.min.rst","python-api/generated/triton.language.minimum.rst","python-api/generated/triton.language.multiple_of.rst","python-api/generated/triton.language.num_programs.rst","python-api/generated/triton.language.program_id.rst","python-api/generated/triton.language.rand.rst","python-api/generated/triton.language.randint.rst","python-api/generated/triton.language.randint4x.rst","python-api/generated/triton.language.randn.rst","python-api/generated/triton.language.ravel.rst","python-api/generated/triton.language.reshape.rst","python-api/generated/triton.language.sigmoid.rst","python-api/generated/triton.language.sin.rst","python-api/generated/triton.language.softmax.rst","python-api/generated/triton.language.sqrt.rst","python-api/generated/triton.language.store.rst","python-api/generated/triton.language.sum.rst","python-api/generated/triton.language.where.rst","python-api/generated/triton.language.zeros.rst","python-api/generated/triton.testing.Benchmark.rst","python-api/generated/triton.testing.do_bench.rst","python-api/generated/triton.testing.perf_report.rst","python-api/triton.rst","python-api/triton.language.rst","python-api/triton.testing.rst"],objects:{"triton.Config":{__init__:[11,1,1,""]},"triton.language":{arange:[15,2,1,""],atomic_add:[16,2,1,""],atomic_cas:[17,2,1,""],atomic_max:[18,2,1,""],atomic_min:[19,2,1,""],atomic_xchg:[20,2,1,""],broadcast_to:[21,2,1,""],cos:[22,2,1,""],dot:[23,2,1,""],exp:[24,2,1,""],load:[25,2,1,""],log:[26,2,1,""],max:[27,2,1,""],maximum:[28,2,1,""],min:[29,2,1,""],minimum:[30,2,1,""],multiple_of:[31,2,1,""],num_programs:[32,2,1,""],program_id:[33,2,1,""],rand:[34,2,1,""],randint4x:[36,2,1,""],randint:[35,2,1,""],randn:[37,2,1,""],ravel:[38,2,1,""],reshape:[39,2,1,""],sigmoid:[40,2,1,""],sin:[41,2,1,""],softmax:[42,2,1,""],sqrt:[43,2,1,""],store:[44,2,1,""],sum:[45,2,1,""],where:[46,2,1,""],zeros:[47,2,1,""]},"triton.testing":{Benchmark:[48,0,1,""],do_bench:[49,2,1,""],perf_report:[50,2,1,""]},"triton.testing.Benchmark":{__init__:[48,1,1,""]},triton:{Config:[11,0,1,""],autotune:[12,2,1,""],heuristics:[13,2,1,""],jit:[14,2,1,""]}},objnames:{"0":["py","class","Python class"],"1":["py","method","Python method"],"2":["py","function","Python function"]},objtypes:{"0":"py:class","1":"py:method","2":"py:function"},terms:{"0":[1,2,3,4,5,7,9,10,32,33,34,37,47,49],"00":7,"0000":3,"000000":2,"000001":[1,2],"000002":2,"000009":5,"004273":1,"004501":3,"006885":5,"01":[1,3,7],"011":[4,7],"012175":5,"015":[3,7],"02":[2,7],"025776":3,"028308":3,"03":[3,7],"04":[4,7],"044224":3,"044730":3,"047592":3,"05":[5,7],"058574":2,"061463":3,"0625":3,"076024":3,"08199":4,"083026":5,"08452":4,"084721":1,"085717":5,"088617":5,"091565":5,"0938":3,"096582":3,"096776":5,"097543":2,"098897":5,"099871":3,"0f":10,"0s":4,"1":[1,2,3,4,5,8,10,13,32,33,34,37],"10":[1,3,4,5],"100":[2,49],"101597":2,"1024":[1,3,4,5,12],"10240":5,"102570":5,"1045":3,"104745":5,"1048576":1,"106434":4,"10752":5,"11":[0,1,3,5],"111113":2,"111783":2,"11264":5,"114517":3,"1152":3,"117638":5,"11776":5,"118889":3,"12":[1,3,5,7],"12160":2,"12288":[2,5],"123":4,"12416":2,"12544":2,"12672":2,"127":1,"128":[1,2,3,5,12],"1280":3,"12800":5,"128191":5,"13":[1,3,5],"131072":1,"1328":3,"133":5,"13312":5,"133347":2,"134217728":1,"135370":3,"13686":4,"13824":5,"138541":3,"14":[1,3,5],"140799":3,"1408":3,"142862":2,"14336":5,"14848":5,"149375":2,"149397":4,"15":[1,3,5],"150050":3,"153":2,"153487":5,"1536":[3,5],"15360":5,"154":2,"15872":5,"16":[2,3,5,10,47],"160":2,"160801":5,"162":[2,5],"162157":5,"16384":1,"1664":3,"16777216":1,"17":[3,5],"172588":3,"172933":5,"17879":4,"1792":3,"179533":2,"179836":5,"18":[3,5],"182":5,"1823":2,"19":[1,3,5],"190":2,"190482":1,"190689":5,"191":5,"192":1,"1920":3,"198":2,"1982":10,"1983":9,"1984":10,"1989":10,"199":2,"1991":[9,10],"1999":10,"1d":[1,2,3],"1e":[1,2,3,5],"1s":4,"2":[1,2,3,4,5,8,10,11,13,32,33,49],"20":[3,5,49],"200000":1,"200001":3,"200008":5,"2004":10,"2006":10,"2011":4,"2012":10,"2013":9,"2014":[4,9],"2016":[9,10],"2017":9,"2018":[9,10],"201833":5,"2019":10,"2021":[9,10],"2048":[2,3,5],"207907":5,"208":5,"2097152":1,"21":[3,5],"212868":4,"2141":1,"214186":4,"216187":2,"2176":3,"217818":5,"219":1,"22":[3,5],"220":[3,5],"23":[2,3,5,7],"2304":3,"231":5,"231237":5,"233226":3,"237674":3,"24":[3,5],"242":5,"242181":3,"242569":5,"242939":5,"243":5,"2432":3,"243907":5,"245":[3,5],"246":5,"248":5,"249":5,"25":[3,5,49],"251065":3,"251954":5,"252":5,"253":5,"253788":5,"254":5,"254693":3,"256":[1,2,3,5,11],"2560":[3,5],"257":5,"26":[3,5,7],"260":5,"260869":3,"262":5,"262144":1,"264875":2,"2656":3,"267":5,"267711":5,"268":5,"2688":3,"269692":3,"27":[3,5],"271186":5,"272":5,"276800":3,"277":5,"279570":5,"28":[1,3,5],"280":5,"2812":3,"2816":3,"283":5,"284":5,"285":5,"286":5,"287":5,"288":5,"289":5,"2891":3,"29":[3,5],"290":5,"291":5,"292":5,"293429":4,"293872":5,"294":5,"2944":3,"297":5,"298541":2,"2d":[3,5,23],"2m":2,"2mn":2,"3":[0,1,2,3,4,5,10],"30":3,"301075":5,"305746":3,"305878":3,"307":5,"3072":[3,5],"3076":1,"308":5,"31":3,"310338":5,"311":5,"3125":3,"32":[3,5,11],"320":5,"3200":3,"322318":5,"322572":5,"32768":1,"3281":3,"33":3,"330":5,"3328":3,"333321":1,"33554432":1,"336":5,"338":5,"338991":5,"34":3,"341":1,"34172":4,"3438":3,"3456":3,"3477":3,"351":5,"3516":3,"3555":3,"3584":[3,5],"36":3,"360017":2,"362445":1,"364408":5,"366":5,"369":[5,7],"369197":3,"3712":3,"3713":1,"371721":4,"372618":3,"372800":3,"374":5,"38":1,"380953":3,"383":5,"384":[1,2,3],"3840":3,"384000":3,"39":3,"3906":3,"3968":3,"397":5,"398346":3,"3984":3,"3986":4,"3d":[32,33],"3mn":2,"4":[1,2,3,5,10,11,12,35],"40":3,"400001":1,"400016":[1,2],"4023":3,"403344":4,"403347":4,"405":5,"406":2,"4062":3,"407671":3,"408716":4,"4096":[1,2,3,5],"412":[2,5],"412561":5,"415":5,"41576":4,"416":[2,5],"4194304":1,"420":5,"421":5,"42142":4,"423":5,"428":5,"428372":4,"428568":1,"428801":3,"429":5,"429770":1,"43":[1,7],"430545":3,"431969":4,"433562":5,"438":5,"440290":5,"447":5,"447482":5,"448255":1,"4492":3,"45":[3,7],"4531":3,"453844":5,"458141":3,"46":3,"460":5,"4608":5,"4609":3,"461":5,"464170":5,"464755":3,"465340":5,"467336":3,"4688":3,"469":[1,7],"469040":5,"472":1,"473602":3,"482":5,"492442":3,"4940":1,"498":5,"498981":2,"4m":2,"4x":2,"5":[1,3,4,5,10,49],"500":5,"5000":3,"500614":3,"501303":5,"507":5,"507077":3,"507855":5,"51":3,"511628":2,"512":[2,3,4,5],"5120":5,"512412":3,"513091":5,"515":5,"517949":5,"52":3,"522238":3,"524288":1,"525":5,"526831":3,"527":5,"53":3,"530349":3,"530615":3,"5312":3,"538":5,"54":3,"541":4,"542":5,"545956":5,"546":2,"550706":5,"553020":3,"554":5,"556515":5,"559690":5,"56":3,"5632":5,"563555":3,"566038":2,"566838":2,"568":5,"568431":4,"571423":5,"580429":5,"585":2,"585527":3,"5859":3,"586858":4,"589488":3,"5898":3,"596116":3,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"600589":5,"602666":3,"603":7,"606":2,"6094":3,"610071":5,"614":[1,2],"6144":5,"615388":5,"615390":1,"62":3,"627396":3,"63":[1,3],"630777":3,"633240":2,"64":[1,3,5],"640":[2,3],"646820":3,"64kb":5,"650282":5,"651187":5,"655":2,"65536":[1,5],"656000":3,"656574":1,"657521":5,"661056":5,"664":2,"6656":5,"666684":2,"67":3,"67086":4,"67108864":1,"6724":1,"673567":5,"68":3,"682":2,"686414":5,"69":3,"6953":3,"696898":5,"7":[0,1,3,5,10],"70":3,"7031":3,"7070":3,"707878":4,"708969":5,"709358":3,"71":3,"7168":5,"719258":4,"72":3,"722":[1,2],"724127":5,"729961":5,"73":3,"730667":3,"733474":3,"737435":1,"739":[2,7],"743443":4,"75":3,"7500":3,"754967":2,"76":[1,3],"761846":5,"767446":5,"768":[2,3],"7680":5,"768000":3,"77":3,"773130":3,"780":1,"781":2,"787523":5,"79":3,"795401":3,"79719":4,"8":[1,2,3,5,10,11,12,47,49],"80":[3,49],"800002":1,"806694":4,"809875":3,"81":3,"811310":5,"812":[1,2],"814":2,"814814":2,"815384":5,"817432":4,"8192":[1,5],"82":3,"823517":[1,2],"826879":5,"83":3,"833":1,"833728":3,"838026":4,"8388608":1,"84":3,"841672":3,"842":1,"84284":4,"845844":5,"847":1,"848":1,"849":1,"849059":5,"85":3,"850":1,"857144":5,"857162":5,"858555":3,"859361":3,"86":3,"87":3,"8704":5,"871877":3,"88":3,"8828":3,"885495":3,"8867":3,"888887":3,"89":3,"8906":3,"890900":5,"8945":3,"896":3,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"908442":3,"908642":3,"91":3,"911986":5,"9216":5,"921853":3,"9219":3,"93":[2,3],"936606":2,"9375":3,"94":[2,3],"941930":5,"9492":3,"95":[2,3],"950501":5,"952835":4,"9531":3,"954424":2,"954908":5,"955488":3,"957600":5,"958106":5,"959706":3,"96":[2,5],"9688":3,"97":2,"971190":2,"9728":5,"9733":1,"974138":3,"978909":3,"98":2,"9805":3,"980905":3,"982663":5,"983276":3,"98432":1,"9844":3,"987724":5,"99":5,"998493":3,"999990":5,"999995":1,"999998":1,"abstract":[9,10],"break":10,"byte":2,"case":[1,2,9,10,13,16,17,18,19,20],"class":[2,5,9,10,11,48],"default":49,"do":[2,3,9,10,25,44],"float":[2,9,10,49],"function":[1,2,3,4,5,10,12,13,14,48,49,50],"import":[1,2,3,4,5,9,10],"int":[1,9,10,13,15,21,32,33,39,47,49],"new":[21,39,47],"return":[1,2,3,4,5,15,16,17,18,19,20,23,25,27,29,32,33,34,35,36,37,38,45,46,47,49,50],"static":[0,9,10],"super":3,"switch":3,"true":[1,2,3,5,46],"try":[3,11],"var":[5,10],"voil\u00e0":4,"while":[3,5,9],A:[3,4,9,10],And:[0,3],As:[2,3,4,9,10],At:[4,10],But:4,By:49,For:[3,9,10,11],If:[4,10,35,44,46,48],In:[1,2,3,4,10],It:[1,3,4,6,8,10,14],Of:9,On:10,One:3,The:[1,2,3,4,9,10,16,17,18,19,20,21,23,32,33,34,35,36,37,39,44,46,50],There:1,These:10,To:[1,4,9,10,12],_:5,__expf:2,__init__:[11,48],_db:5,_dropout:4,_dw:5,_layer_norm_bwd_dwdb:5,_layer_norm_bwd_dx_fus:5,_layer_norm_fwd_fus:5,_matmul:3,_seeded_dropout:4,a100:[3,10],a_ptr:3,ab:1,abl:10,about:[1,2,3,4,8],abov:[1,2,3,4,10,12],academ:9,acc:[3,9,10],acceler:9,access:[1,3,9,10,14],accomod:3,accordingli:10,account:10,accumul:[3,5,10],accuraci:[3,9],achiev:[3,9,10],across:[2,4,9,10],activ:3,actual:[3,9,10],add:[1,4,5,7,16],add_kernel:1,addit:[2,6,7,9,49],addition:10,address:[9,25],adopt:10,advanc:[2,3,9],advoc:10,affect:3,affin:10,after:3,against:[0,1,2,3,8],aggress:[9,10],agnost:[9,10],ahead:10,aim:[2,8],al:[9,10],alex:4,algebra:10,algorithm:[3,4,9,10],alia:10,all:[2,3,4,6,9,10,12,27,29,31,45,48],allclos:[2,3],allen1984:10,allen:10,alloc:[1,2,3,5,9],allow:[1,2,5,9,10],along:[1,3,27,29,32,33,45,49],also:[1,2,3,4,5,9,10],altern:4,alwai:[10,46],amd:9,amen:10,amount:[5,9],ampl:10,an:[1,2,3,4,9,10,11,16,17,18,19,20,34,35,36,37],analog:1,analysi:[9,10],analyz:10,ancourt1991:10,ancourt:10,ani:[1,2,3,10,12,13,48],anoth:[2,10],anytim:12,apart:10,apex:5,apex_layer_norm:5,api:48,appear:48,appli:[3,4,5,9,10],applic:[4,10,13],approach:[9,10],appropri:1,approxim:2,ar:[0,1,2,3,4,9,10,12,14,25,31,44,46,48],arang:[1,2,3,4,5],arbitrari:3,architectur:[3,9],area:10,arg:[1,2,3,5,13,14,48],argument:[1,2,3,11,12,13,14,46,48],arrai:[10,47],arrang:3,art:[9,10],artifici:4,arxiv:[9,10],ask:2,aspect:10,asplo:9,assert:[1,3,4],assert_almost_equ:5,assum:[2,48],asynchron:[1,9],atom:[16,17,18,19,20],atomic_ca:5,atomic_xchg:5,auguin1983:9,auguin:9,auto:[2,3,10,11,12,13],autograd:5,autom:9,automat:[2,3,9,10,11],autotun:[3,10],avail:[0,4,9,10],avoid:[2,12,46],awar:9,awkward:4,axi:[1,2,3,4,5,27,29,32,33,45,48],b:[3,5,9,10],b_ptr:3,back:[1,2,3,4,5],backpropag:4,backward:5,bad:4,baghdadi2021:[9,10],baghdadi:[9,10],balanc:10,bandwidth:2,base:[4,8,9,10],basic:[1,6,10],becom:9,been:[1,9,10],befor:[3,12,16,17,18,19,20],begin:10,behavior:[10,12],being:[2,4],believ:10,below:[4,6,10],bench:0,bench_layer_norm:5,benchmark:[0,5,49,50],benefit:[2,9,10],best:[1,9],between:[1,9],bia:5,bit:4,block:[1,2,3,4,9,10,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,34,35,36,37,38,39,40,41,42,43,44,45,46,47],block_siz:[1,2,4,5,10,12,13],block_size_k:3,block_size_m:[3,5],block_size_n:[3,5],block_start:[1,4],blue:[1,2,3,5],boil:10,bool:[46,48],both:[10,46],bound:[1,2,3,10],branch:10,broad:9,broadcast:[21,25,44,46],buffer:5,build:[0,3],built:[1,10],c:[3,9,10],c_mask:3,c_ptr:3,cach:[9,10,25],cache_modifi:25,call:[1,3,10,14,35],callabl:[1,13,14,49],can:[0,1,2,3,4,9,10,12,50],cannot:[3,9,10],capabl:[8,9],cast:5,cd:0,cdiv:[1,3,4,5],ceil:13,certain:13,cgo:[9,10],challeng:4,chang:[3,4,12,25],chapter:8,characterist:10,cheap:9,check:[3,8],checkpoint:4,chen2018:9,chen:9,chip:2,choic:8,click:[1,2,3,4,5],clone:[0,5],close:10,cmake:0,cmp:[16,17,18,19,20],coalesc:9,code:[1,2,3,4,5,6,9,10],col:[3,5,10],col_offset:2,color:48,column:[2,3],com:0,combin:9,come:[2,3,10],command:0,common:10,commonli:10,compar:[2,3,4,5,8,10,16,17,18,19,20],compat:23,compil:[2,3,8,9,11,14,31],complet:10,complex:10,compos:[4,9],composit:10,comprehens:[9,10],comput:[4,5,8,9,10,13,22,24,26,28,30,40,41,42,43],computation:[9,10],concern:10,concis:[1,48],condit:[10,46],config:[3,12],configur:[3,11,12,50],confirm:2,connectom:9,consecut:10,consequ:9,consid:2,consist:4,constraint:[3,10],construct:9,constructor:48,consum:3,contain:[10,16,17,18,19,20,48],contextu:10,contigu:[3,15,38],control:[9,10],conveni:3,convert:[1,3,14],convolut:9,cooper:11,copi:[4,9,16,17,18,19,20],core:[9,10],correct:1,correspond:[1,2,3,48],cosin:22,cost:10,could:[2,10],count:5,cours:9,cpython:0,creat:[1,2,3,5,9],crucial:4,csv:1,ctx:5,cubla:[3,9],cuda:[1,2,3,4,5,9],cudnn:9,current:33,custom:[1,2,3,8],cut:3,cvpr:9,d:[2,4,12,14],dart:10,darte1999:10,data:[1,3,4,5,9,10,16,17,18,19,20,25,46,47],data_ptr:14,dataflow:10,david:4,db:5,db_ref:5,db_tri:5,deal:4,decad:9,decim:5,declar:1,decompos:10,decor:[1,3,12,13,14],decreas:4,dedic:3,deep:[3,4,9,10],def:[1,2,3,4,5,12,13],defin:[1,2,3,10,25],definit:10,denomin:2,denot:1,dens:10,depend:[0,10,46],deploi:9,describ:[4,10],design:10,desir:[21,39],detail:[3,10],detect:9,develop:[9,10],devic:[1,2,3,5],dg:5,dialect:10,dict:13,dictionari:[11,13],diesel:10,differ:[1,2,3,4,9,10,48],difficult:10,difficulti:[3,9],dijkstra82:10,dijkstra:10,dim:[2,5,10],dimens:[3,23,27,29,45],dimension:[3,10,23],dir:0,direct:3,disjoint:10,disk:1,dissert:10,distribut:[2,4,10],divis:3,dnn:[8,9,10],do_bench:[1,2,3,5],doc:4,doe:[1,2,3,10],doesn:[5,10],domain:[9,10],don:[1,2,3],done:[3,9,27,29,45],dot:3,doubli:3,doubt:10,down:[3,10],download:[0,1,2,3,4,5,6],dram:[1,2],dropout:[6,7],dror:4,dsl:[8,9,10],dtype:[1,2,3,5,16,17,18,19,20,25,44,47],dw:5,dw_ref:5,dw_tri:5,dx:5,dx_ref:5,dx_tri:5,dy:5,e:[0,2,3,4,9,10,47],each:[1,2,3,4,5,9,10,11,13],eas:10,easi:[3,4],easier:[1,2,9],easili:3,ed:[1,3],education:2,effect:10,effici:[3,4,9,36],effort:10,either:[1,32,33,46],elango2018:10,elango:10,element:[1,2,3,4,5,22,24,26,27,28,29,30,40,41,42,43,44,45,46,48],element_s:[2,5],element_ti:[16,17,18,19,20,25,44],elementwis:[2,25],els:[3,5],emerg:9,empti:[3,5],empty_lik:[1,2,4,5],enabl:10,encod:10,encourag:4,end:[9,10,15],enforc:10,engin:10,enqueu:[1,2,5],ensur:10,entir:10,entri:36,environ:8,ep:5,equal:10,error:3,especi:9,et:[4,9,10],euromicro:9,evalu:[3,4,12,46],even:[4,10],evidenc:9,evolv:9,exampl:[1,2,3,4,5,6,9,10,11],exchang:20,execut:[7,9,10,11,50],exist:[9,10],exp:2,expect:[2,16,17,18,19,20],expens:[9,10,13],explor:[4,9],exponenti:[2,24],express:[9,10],extar:1,extend:[3,4],extract:3,extrem:10,f:[1,2,3,10],facilit:[9,10],fact:10,fairli:3,fals:[25,44,46,48,49],far:2,fast:[2,5,9,10],faster:[2,35],fastest:10,featur:5,feel:3,fetch:9,few:10,field:9,figur:10,file:[1,2,3,7],fill:47,final_db:5,final_dw:5,fine:4,first:[1,3,4,5,8,10,23,28,30],first_pid_m:3,firstli:4,fit:2,fix:48,flag:2,flatten:38,flexibl:9,float16:[3,5,23,47],float32:[1,2,3,4,5,23,34,37],flow:[9,10],fly:4,fn:[14,49],focu:[3,10],folder:4,follow:[0,2,3,8,9,10],footprint:4,forc:4,forget:1,formal:10,format:10,forward:5,found:[16,17,18,19,20],foundat:10,four:36,fp16:3,fp32:3,frac:4,framework:[9,10],free:3,from:[1,2,3,4,9,10,25,46],full:[1,2,3,4,5],fulli:10,func:10,fundament:10,further:[4,10],fuse:[3,5,6,7],fusedlayernorm:5,fusion:[2,10],g:[3,4,9,10,47],galleri:[1,2,3,4,5,6],gb:[1,2,5],gbp:[1,2,5],gener:[1,2,3,4,5,6,9,10,34,35,36,37,48],geoffrei:4,geq:10,get:[1,2,3,4,7],girbal2006:10,girbal:10,git:0,github:0,give:9,given:[2,3,4,21,32,33,34,35,36,37,39,47],global:10,go:[1,3,10],good:[1,10],gpgpu:9,gpu:[1,2,4,8,9,10,11,14],grad:5,grad_to_non:[5,49],gradient:[5,49],grammat:10,graphic:9,greater:2,green:[1,2,3,5],grid:[1,2,3,4,5,32,33],grid_m:3,grid_n:3,grosser2012:10,grosser:10,group:3,group_id:3,group_m:3,group_size_m:[3,5],grow:10,guard:[1,2],guid:9,ha:[1,3,4,9,10,32,33],had:1,halid:[9,10],hand:10,handl:[1,2,4,10],handwritten:9,hard:3,harder:10,hardwar:[3,8,10],hasn:1,have:[2,4,9,10,14,23,46,48],heavi:9,helper:[1,2],henc:3,here:[1,2,3,4,5],heurist:[2,5],hierarch:9,hierarchi:10,high:[3,9,10],higher:3,highli:9,highlight:10,hint:10,hinton:4,hit:3,how:[1,2,3,8,9,13],howev:[2,10],html:4,http:[0,4],i:[1,2,3,4,5,9,10],id:[3,33],idea:9,ideal:2,ident:2,identifi:1,idx:[25,44],ilya:4,imag:[9,10],implement:[1,2,3,4,9,10],implicitli:[1,14,25,44],importantli:10,impos:10,improv:[3,4],incompat:[3,10],incorrect:3,increas:[1,2,3,4],incred:9,increment:10,inde:10,independ:[2,5,10],index:1,indic:[10,46],induc:10,industri:9,inequ:10,inf:2,inform:10,infrastructur:10,initi:[1,3],inner:[3,23],inplac:3,input:[1,2,3,4,5,10,13,21,22,23,24,26,27,28,29,30,31,38,39,40,41,42,43,45],input_ptr:2,input_row_strid:2,instal:8,instanc:[1,2,3,4,5,9,11,32,33],instanti:4,instead:[2,46],instruct:[8,9],int1:[25,44],int32:[4,5,35,36],integ:10,interchang:10,interest:[5,9,10],intermedi:10,intern:[2,10],interv:15,intrins:10,introduc:4,introduct:8,invari:[2,10],invoc:4,ipynb:[1,2,3,4,5],ir:10,irregular:[2,10],is_contigu:[3,4],is_cuda:1,isn:3,issu:[9,10],iter:[3,9,10],its:[1,2,3,10],j:[3,9,10],jit:[1,2,3,4,5,12,13],jmlr:4,john:4,johnson:4,journal:10,jrk2013:9,jupyt:[1,2,3,4,5,6],just:[3,10,13],k:[3,4,9,10],kb:9,keep:4,kei:[3,9,12],kellei:9,kernel:[4,5,8,9,11,12,13],keyword:[1,11],ki:10,kind:2,know:31,known:10,krizhevski:4,kwarg:14,l2:5,label:[1,2,3,48],lam1991:9,lam:9,lambda:[1,2,3,4,5,13],languag:[1,2,3,4,5,8,9,14],larg:[9,10],last:3,later:[2,10],latest:0,lattner2004:10,lattner2019:10,lattner:10,launch:[1,2,3,32,33],law:10,layer:[6,7,9,10],layer_norm:5,layernorm:5,lead:[4,9,10],leaky_relu:3,leakyrelu:3,learn:[1,2,3,4,8,9,10],least:10,lee2017:9,lee:9,left:10,legal:10,length:1,less:[4,5,9,10],let:[1,2,4,31],letter:10,level:[3,9,10],li:9,librari:[0,3,9,10],lifelong:10,like:[1,4,9,10,35],limit:[2,4],lindenstrauss:4,line:[1,2,3,4,10,48],line_arg:[1,2,3,5,48],line_nam:[1,2,3,5,48],line_v:[1,2,3,5,48],linear:[9,10],link:0,list:[1,3,12,13,48,49,50],litteratur:10,ll:4,llvm11:0,llvm:[0,10],load:[1,2,3,4,5,10,46],local:[9,10],locat:[3,16,17,18,19,20,25,44],lock:5,lock_id:5,log2:13,log:48,logarithm:[1,26],look:[4,8,9],loop:[3,10,11],low:[6,7,10],m:[0,2,3,5,9],machin:[9,10],machineri:[9,10],made:9,mai:[2,10,13],main:[3,9,10],maintain:[2,10],major:[3,10],make:[1,2,9,10],manag:[4,9],mani:[1,9,10],manual:[2,10],manual_se:[1,2,3],map:3,mapl:10,mark:[4,50],markedli:9,mask:[1,2,3,4,5,16,18,19,20,25,44,46],match:[3,16,17,18,19,20],math:13,mathbb:10,mathbf:10,mathcal:[10,37],mathemat:10,matmul:[3,10],matmul_kernel:3,matric:[2,3],matrix:[2,4,6,7,9,10,11,23],matrix_s:10,matter:[3,9,10],max:[1,2,5,18],max_fused_s:5,max_m:[1,2,3,5],maxim:[8,10,36],maximum:[1,2,27],mb:[7,9],mean1:5,mean2:5,mean:[3,5,10,12],mechan:[2,10],median:49,memori:[1,2,3,6,7,9,10,16,17,18,19,20,25,44,46],mention:3,meta:[1,2,3,4,5,11,12,13],metaparamet:1,method:[10,11,14,48,50],methodolog:10,micro:9,min:[3,5,19],min_m:[1,2,3,5],minimum:29,minut:[1,2,3,4,5],miss:10,mitig:10,ml:9,mlir:10,mn:2,mode:5,model:[1,9,10],modern:[3,8,9,10],modular:10,moor:10,mora:4,more:[2,3,4,8,9,10,48],most:[3,10],mostli:11,move:3,movement:4,ms:[1,2,3,5,49],much:[2,3],mullapudi2016:10,mullapudi:10,multi:[3,9,10],multipl:[1,4,6,7,9,10,11,12,31,35],multipli:[3,4,5,10,23],must:[2,3,15,23,46],n:[2,3,5,9,37],n_col:2,n_element:[1,4],n_row:2,naiv:[2,4],naive_softmax:2,name:[1,2,3,12,13,48],nativ:[1,2,3],natur:[2,9,26],nb:9,necessari:2,need:[1,2,3,4,35],nelement:2,nest:[3,10],net:10,network:[4,9,10],neural:[4,9,10],neurosci:9,never:4,next:[2,3],next_power_of_2:[2,5],nightli:0,nip:9,nitish:4,nn:[3,5],non:9,none:[2,3,5,12,16,18,19,20,25,44,48,49],nonzero:46,norm:[4,5,7],normal:[2,3,6,7],normalized_shap:5,note:[0,1,2,3,4,10,12,14,46],notebook:[1,2,3,4,5,6],notic:[2,10],notori:[3,9],novel:9,now:[1,3],num_pid_in_group:3,num_pid_m:3,num_pid_n:3,num_stag:[3,11],num_warp:[2,3,5,11,12],number:[1,2,3,4,5,10,11,32,34,35,36,37],numel:[1,4,5],numer:[2,9],nvidia:[9,25],o:[2,4],object:[1,3,9,11,12,14,16,17,18,19,20],obtain:1,obvious:2,occur:10,off:5,offer:9,offici:0,offs_am:3,offs_bn:3,offs_cm:3,offs_cn:3,offs_k:3,offset:[1,4,5,34,35,36,37],often:3,omega:10,onc:[2,9,10],one:[2,3,4,5,6,9,10,48],onli:[2,3,4,9,10,14],op:[1,2],open:15,openai:0,opencl:9,oper:[1,2,3,4,6,9,16,17,18,19,20,46],opportun:9,opsila:9,optim:[9,10],option:[1,3,25,44,48,49],orang:5,order:[2,3,6,10],org:4,origin:10,osdi:9,other:[2,3,4,5,8,10,14,23,25,28,30],otherwis:[4,46],our:[1,2,3,9],out:[1,2,3,4,5,8,10],outlin:10,output2:4,output3:4,output:[1,2,3,4,5],output_ptr:[1,2,4],output_row_start_ptr:2,output_row_strid:2,output_torch:1,output_triton:1,over:[2,4,9,10],overfit:4,overflow:2,own:3,p:[4,10],pa:3,packag:14,pact:10,pad:2,par:3,paradigm:[9,10],paragraph:4,parallel:[1,2,3,4,5,8,9,10,11],paralleliz:9,param:13,paramet:[1,3,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50],parametr:9,part:[3,4,10],partial:5,partial_db:5,partial_dw:5,particular:[2,3],particularli:[9,10],partit:9,pass:[1,5,10,11],past:[9,10],path:1,pattern:9,pb:3,peak:10,per:[2,4,5],percentil:49,perf:3,perf_report:[1,2,3,5,48],perform:[1,2,4,9,10,16,17,18,19,20,49],persist:4,person:10,perspect:10,pgm:1,phase:10,philosophi:10,philox:[4,36],pid:[1,3,4,5],pid_m:3,pid_n:3,pip:0,pipelin:[9,10,11],platform:[8,10],pldi:9,plot:[0,1,2,3,48],plot_nam:[1,2,3,5,48],pmatrix:10,point:[1,10,36],pointer:[1,2,4,5,14,16,17,18,19,20,25,44],pointerdtyp:[16,17,18,19,20,25,44],polli:10,polyhedr:9,polyhedra:10,popular:10,portabl:[9,10],pose:9,posit:[5,13],possibl:[1,2,3,10,11],power:[2,4,10,13,15],ppopp:10,practic:[1,2,3,9],pragma:9,pre:[0,9],prealloc:1,predict:10,prefer:2,premis:9,present:[0,3],preserv:10,preserve_rng_st:4,prevent:[4,10],primer:10,primit:[9,14],principl:10,print:[1,2,3,4],print_data:[1,2,3,5],prng:4,probabl:[4,10],problem:1,problemat:10,procedur:10,process:[1,5,9,10],processor:9,produc:[3,4],product:[8,10,23],program:[1,2,3,4,5,8,9,32,33],program_id:[1,2,3,4,5],programm:[9,10],prohibitev:13,project:[4,9],promot:[3,10],properli:2,properti:10,propos:9,proprietari:3,provid:[1,2,3,4,5,8,10,12,27,29,45,49],prune:4,pseudo:[3,4,36],pseudorandom:4,ptr:3,ptx:25,purpos:[9,10],push:10,put:4,py:[0,1,2,3,4,5,7],pypi:0,pytest:0,python:[1,2,3,4,5,6,14],pytorch:[1,2,4],qquad:10,r:[0,2],ragan:9,rais:5,rand:[1,4,5],randint4x:35,randn:[2,3,4,5],randn_lik:5,random:[4,34,35,36,37],randomli:4,rang:[1,2,3,5,9,10],rapidli:[9,10],rate:3,rather:9,raw:1,rdom:10,re:[1,3],read:[2,3,6],reader:10,real:9,reason:10,recent:9,recommend:6,recomput:[4,9],record_clock:49,rectifi:9,redmon2016:9,redmon:9,reduct:[2,5,27,29,45],refer:1,regardless:[4,46],regim:4,regrett:9,regular:[4,10],rel:[1,10],relat:8,releas:[0,5,9],reli:10,relu:3,remain:[9,48],rememb:3,reorder:10,rep:[5,49],repetit:49,repres:[2,3,10,11],requir:[0,2,4,10],requires_grad:5,requires_grad_:5,research:[9,10],reset:[12,49],reset_to_zero:12,reshap:5,resolut:10,resourc:9,resp:10,respect:10,restrict:10,result:[0,1,2,9,10],ret:2,retain_graph:5,retriev:10,reus:3,revisit:9,right:10,rise:10,role:10,ron:4,root:43,roughli:3,row:[2,3,4,5],row_idx:2,row_minus_max:2,row_start_ptr:2,rstd:5,run:[0,1,2,3,4,5,8,10,12,14,50],runtim:[10,49],runtimeerror:5,ruslan:4,rvar:10,s:[1,2,4,5,10,36],said:10,salakhutdinov:4,salmon2011:4,salmon:4,same:[4,9,48],sato2019:10,sato:10,save:[1,2,3],save_for_backward:5,save_path:[1,5],saved_tensor:5,sc:10,scalabl:10,scalar:[4,9,23,34,35,36,37,47],scale:48,scan:10,schedul:9,scienc:10,scientif:10,scop:10,scope:10,script:[0,1,2,3,4,5],second:[1,2,3,4,5,10,23,28,30],secondli:4,section:[3,10],see:[1,2,3,4,10],seed:[34,35,36,37],seeded_dropout:4,seem:[1,10],select:[9,10,46],self:[11,48],semant:10,semi:10,sens:[1,9,10],separ:[5,10],sequenc:9,set:[1,4,10],setup:0,sever:[9,10],shall:10,shape:[2,3,4,5,10,21,25,39,44,46,47],share:9,shaw:4,shift:2,should:[1,3,9,10,11,27,29,45,48],show_plot:[1,2,3],shown:10,side:10,sight:10,signal:9,significantli:2,sigplan:10,simd:9,simpl:[1,2,3,4],simplest:6,simpli:10,simplic:3,simplifi:4,sinc:[1,2,3],sine:41,singl:[2,4,9,35],size:[1,2,4,10],slower:[9,10],slowest:10,sm80:11,sm:10,smaller:[3,4],smallest:[2,13],snemi3d:9,so:[1,2,3,4,10],softmax:[4,6,7],softmax_kernel:2,softmax_output:2,softwar:11,solid:10,solut:3,solv:10,some:3,sometim:10,sourc:[1,2,3,4,5,6,10],space:[9,10],spars:[4,9,10],spatial:10,speak:3,special:9,specif:[3,9],specifi:[10,13,16,17,18,19,20,44],speed:2,sphinx:[1,2,3,4,5,6],split:10,spmd:[1,9,10],sqrt:5,squar:43,sram:[2,3,5],srivastava2014:4,srivastava:4,stabil:2,stabl:0,stage:11,stai:5,standard:10,start:[5,6,15],started_tutori:7,state:[4,9,10],statement:10,staticmethod:5,std:5,step:10,still:[1,2,3,10],stop:15,store:[1,2,3,4,5,16,17,18,19,20,46],str:[12,13,25,48],straightforward:3,strategi:[4,10],stream:[5,35],strength:9,stride:[2,3,4,5],stride_ak:3,stride_am:3,stride_bk:3,stride_bn:3,stride_cm:3,stride_cn:3,stride_xi:3,stride_xj:3,structur:[9,10],style:[1,2,3,5,48],subscript:10,substanti:9,substract:2,subtract:2,successfulli:10,suffer:10,suit:9,sum:[1,2,5],sum_db:5,sum_dw:5,superhuman:9,support:[4,5,10],sure:2,surprisingli:9,surround:10,suspicion:2,sutskev:[4,9],sutskever2014:9,swap:[16,17,18,19,20],swizzl:9,synchron:[1,9],system:[0,3,9,10],t:[1,2,3,5,10],t_:10,tabul:4,taco:10,take:[3,4,8,13],taken:10,target:9,techniqu:[3,9,10],temperatur:4,tempor:10,tend:10,tension:9,tensor:[1,2,3,4,5,9,10,12,14,49],tensorrt:9,test:[0,1,5,8],test_layer_norm:5,text:10,tflop:3,th:49,than:[2,3,5,9,10,35,48],thei:[3,9,10],them:1,themselv:3,theoret:2,therebi:10,therefor:3,theta:10,theta_:10,thi:[1,2,3,4,5,9,10,12,13,14,36,48],thing:[1,4],think:2,those:2,though:[9,10],thought:10,thread:[2,9,11],through:[6,10],throughout:[10,48],throughput:8,tile:10,time:[0,1,2,3,4,5,9,10,12,35,49],tiramisu:[9,10],tl:[1,2,3,4,5,47],tmp:0,tog:10,togeth:4,tolist:4,topic:10,torch:[1,2,3,4,5,14,49],torch_output:3,torch_relu:3,total:[1,2,3,4,5,7],tradit:[4,9,10],transform:[4,10],travers:10,trend:9,tri:[21,39],trick:2,tricki:4,trigger:[3,12],triton:[0,1,2,3,4,5,6,9,10],triton_output:3,trivial:9,tune:[2,3,10,12,13],tuner:11,tupl:[1,21,39,47],tutori:[1,2,3,4,8],tutorials_jupyt:6,tutorials_python:6,tvm:[9,10],two:[1,2,3,10,12,13,15,23],txt:0,type:[13,23,25,46,47],typecast:[25,44],typic:10,u:[0,34],un:10,uncommon:10,underneath:10,understand:2,undesir:12,unfortun:[3,10],unifi:9,uniformli:4,unint:46,unit:[0,9],univers:10,unrol:10,up:2,updat:[3,10,12],us:[1,2,3,4,5,9,10,11,12,13,14,35,46,48,50],util:[1,5],v100:10,v:5,val:[16,17,18,19,20],valid:1,valu:[1,2,3,4,12,13,15,16,17,18,19,20,22,24,25,26,27,29,31,40,41,42,43,44,45,46,47,48,50],valuabl:2,variabl:[3,11],variant:9,variou:6,vasilach:[9,10],vasilache2018:[9,10],vast:10,vec:10,vector:[4,6,7,9,10],vendor:3,veri:[2,4,10],verif:10,verifi:[2,10],via:10,view:38,visibl:10,vision:9,vs:0,w:[5,10],w_shape:5,wa:4,wai:[2,3,4],want:[2,4,46],warmup:49,warp:[2,5,11],wast:2,wdy:5,we:[1,2,3,4,9,10],weight:5,well:[4,9,10],whatev:12,wheel:0,when:[2,3,4,9,10,11,12,14,46],where:[1,3,4,5,10,13,44],whether:[9,48],which:[1,2,3,4,5,9,10,12,27,29,45,48],whose:[1,2,3,4,10,12,25],wide:10,wise:[1,2,22,24,26,28,30,40,41,42,43,44],wish:[3,10],within:[3,14,15],without:10,wolf:10,wolfe1989:10,won:2,word:10,work:[2,4,8,9],workload:[3,11],wors:[3,9,10],would:[1,2,4],wouldn:10,wrapper:3,write:[1,2,3,4,5,6,8,10],wrote:2,x:[1,2,3,4,5,10,22,24,26,28,30,38,40,41,42,43,46,48],x_arg:5,x_keep:4,x_keep_ptr:4,x_log:[1,48],x_max:2,x_name:[1,2,3,5,48],x_ptr:[1,4,12,13],x_shape:5,x_size:[12,13],x_val:[1,2,3,5,48],xhat:5,xi:10,xii:10,xlabel:48,xmean:5,xo:10,y:[1,2,3,5,10,28,30,46,48],y_fwd:5,y_log:48,y_name:[1,2],y_ptr:1,y_ref:5,y_torch:2,y_tri:5,y_triton:2,year:10,yet:[9,10],yi:10,yield:46,yii:10,ylabel:[1,2,3,5,48],yo:10,you:[0,1,2,3,4,6,9,12,35,46],your:[0,1,8],yourself:[2,3],z:[1,2,10],zero:[3,4,5,12],zip:6},titles:["Installation","Vector Addition","Fused Softmax","Matrix Multiplication","Low-Memory Dropout","Layer Normalization","Tutorials","Computation times","Welcome to Triton\u2019s documentation!","Introduction","Related Work","triton.Config","triton.autotune","triton.heuristics","triton.jit","triton.language.arange","triton.language.atomic_add","triton.language.atomic_cas","triton.language.atomic_max","triton.language.atomic_min","triton.language.atomic_xchg","triton.language.broadcast_to","triton.language.cos","triton.language.dot","triton.language.exp","triton.language.load","triton.language.log","triton.language.max","triton.language.maximum","triton.language.min","triton.language.minimum","triton.language.multiple_of","triton.language.num_programs","triton.language.program_id","triton.language.rand","triton.language.randint","triton.language.randint4x","triton.language.randn","triton.language.ravel","triton.language.reshape","triton.language.sigmoid","triton.language.sin","triton.language.softmax","triton.language.sqrt","triton.language.store","triton.language.sum","triton.language.where","triton.language.zeros","triton.testing.Benchmark","triton.testing.do_bench","triton.testing.perf_report","triton","triton.language","triton.testing"],titleterms:{"final":3,addit:1,advantag:10,algebra:52,api:8,arang:15,arithmet:3,atom:52,atomic_add:16,atomic_ca:17,atomic_max:18,atomic_min:19,atomic_xchg:20,autotun:12,baselin:4,benchmark:[1,2,3,48],binari:0,broadcast_to:21,cach:3,challeng:9,co:22,comparison:52,compil:[10,52],comput:[1,2,3,7],config:11,creation:52,distribut:0,do_bench:49,document:8,dot:23,dropout:4,exercis:4,exp:24,from:0,further:8,fuse:2,gener:52,get:8,go:8,heurist:13,hint:52,index:52,instal:0,introduct:9,jit:14,kernel:[1,2,3],l2:3,languag:[10,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,52],layer:5,limit:10,linear:52,load:25,log:26,low:4,manipul:52,math:52,matrix:3,max:27,maximum:28,memori:[4,52],min:29,minimum:30,model:52,motiv:[2,3,9],multipl:3,multiple_of:31,normal:5,num_program:32,number:52,op:52,optim:3,packag:0,perf_report:50,perform:3,pointer:3,polyhedr:10,program:[10,52],program_id:33,python:[0,8],rand:34,randint4x:36,randint:35,randn:37,random:52,ravel:38,reduct:52,refer:[4,9,10],relat:10,represent:10,reshap:39,result:3,s:8,schedul:10,seed:4,shape:52,sigmoid:40,sin:41,softmax:[2,42],sourc:0,sqrt:43,squar:3,start:8,store:44,sum:45,test:[2,3,48,49,50,53],time:7,triton:[8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53],tutori:6,unit:[2,3],vector:1,welcom:8,where:46,work:10,zero:47}})
\ No newline at end of file
+Search.setIndex({docnames:["getting-started/installation","getting-started/tutorials/01-vector-add","getting-started/tutorials/02-fused-softmax","getting-started/tutorials/03-matrix-multiplication","getting-started/tutorials/04-low-memory-dropout","getting-started/tutorials/05-layer-norm","getting-started/tutorials/index","getting-started/tutorials/sg_execution_times","index","programming-guide/chapter-1/introduction","programming-guide/chapter-2/related-work","python-api/generated/triton.Config","python-api/generated/triton.autotune","python-api/generated/triton.heuristics","python-api/generated/triton.jit","python-api/generated/triton.language.arange","python-api/generated/triton.language.atomic_add","python-api/generated/triton.language.atomic_cas","python-api/generated/triton.language.atomic_max","python-api/generated/triton.language.atomic_min","python-api/generated/triton.language.atomic_xchg","python-api/generated/triton.language.broadcast_to","python-api/generated/triton.language.cos","python-api/generated/triton.language.dot","python-api/generated/triton.language.exp","python-api/generated/triton.language.load","python-api/generated/triton.language.log","python-api/generated/triton.language.max","python-api/generated/triton.language.maximum","python-api/generated/triton.language.min","python-api/generated/triton.language.minimum","python-api/generated/triton.language.multiple_of","python-api/generated/triton.language.num_programs","python-api/generated/triton.language.program_id","python-api/generated/triton.language.rand","python-api/generated/triton.language.randint","python-api/generated/triton.language.randint4x","python-api/generated/triton.language.randn","python-api/generated/triton.language.ravel","python-api/generated/triton.language.reshape","python-api/generated/triton.language.sigmoid","python-api/generated/triton.language.sin","python-api/generated/triton.language.softmax","python-api/generated/triton.language.sqrt","python-api/generated/triton.language.store","python-api/generated/triton.language.sum","python-api/generated/triton.language.where","python-api/generated/triton.language.zeros","python-api/generated/triton.testing.Benchmark","python-api/generated/triton.testing.do_bench","python-api/generated/triton.testing.perf_report","python-api/triton","python-api/triton.language","python-api/triton.testing"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["getting-started/installation.rst","getting-started/tutorials/01-vector-add.rst","getting-started/tutorials/02-fused-softmax.rst","getting-started/tutorials/03-matrix-multiplication.rst","getting-started/tutorials/04-low-memory-dropout.rst","getting-started/tutorials/05-layer-norm.rst","getting-started/tutorials/index.rst","getting-started/tutorials/sg_execution_times.rst","index.rst","programming-guide/chapter-1/introduction.rst","programming-guide/chapter-2/related-work.rst","python-api/generated/triton.Config.rst","python-api/generated/triton.autotune.rst","python-api/generated/triton.heuristics.rst","python-api/generated/triton.jit.rst","python-api/generated/triton.language.arange.rst","python-api/generated/triton.language.atomic_add.rst","python-api/generated/triton.language.atomic_cas.rst","python-api/generated/triton.language.atomic_max.rst","python-api/generated/triton.language.atomic_min.rst","python-api/generated/triton.language.atomic_xchg.rst","python-api/generated/triton.language.broadcast_to.rst","python-api/generated/triton.language.cos.rst","python-api/generated/triton.language.dot.rst","python-api/generated/triton.language.exp.rst","python-api/generated/triton.language.load.rst","python-api/generated/triton.language.log.rst","python-api/generated/triton.language.max.rst","python-api/generated/triton.language.maximum.rst","python-api/generated/triton.language.min.rst","python-api/generated/triton.language.minimum.rst","python-api/generated/triton.language.multiple_of.rst","python-api/generated/triton.language.num_programs.rst","python-api/generated/triton.language.program_id.rst","python-api/generated/triton.language.rand.rst","python-api/generated/triton.language.randint.rst","python-api/generated/triton.language.randint4x.rst","python-api/generated/triton.language.randn.rst","python-api/generated/triton.language.ravel.rst","python-api/generated/triton.language.reshape.rst","python-api/generated/triton.language.sigmoid.rst","python-api/generated/triton.language.sin.rst","python-api/generated/triton.language.softmax.rst","python-api/generated/triton.language.sqrt.rst","python-api/generated/triton.language.store.rst","python-api/generated/triton.language.sum.rst","python-api/generated/triton.language.where.rst","python-api/generated/triton.language.zeros.rst","python-api/generated/triton.testing.Benchmark.rst","python-api/generated/triton.testing.do_bench.rst","python-api/generated/triton.testing.perf_report.rst","python-api/triton.rst","python-api/triton.language.rst","python-api/triton.testing.rst"],objects:{"triton.Config":{__init__:[11,1,1,""]},"triton.language":{arange:[15,2,1,""],atomic_add:[16,2,1,""],atomic_cas:[17,2,1,""],atomic_max:[18,2,1,""],atomic_min:[19,2,1,""],atomic_xchg:[20,2,1,""],broadcast_to:[21,2,1,""],cos:[22,2,1,""],dot:[23,2,1,""],exp:[24,2,1,""],load:[25,2,1,""],log:[26,2,1,""],max:[27,2,1,""],maximum:[28,2,1,""],min:[29,2,1,""],minimum:[30,2,1,""],multiple_of:[31,2,1,""],num_programs:[32,2,1,""],program_id:[33,2,1,""],rand:[34,2,1,""],randint4x:[36,2,1,""],randint:[35,2,1,""],randn:[37,2,1,""],ravel:[38,2,1,""],reshape:[39,2,1,""],sigmoid:[40,2,1,""],sin:[41,2,1,""],softmax:[42,2,1,""],sqrt:[43,2,1,""],store:[44,2,1,""],sum:[45,2,1,""],where:[46,2,1,""],zeros:[47,2,1,""]},"triton.testing":{Benchmark:[48,0,1,""],do_bench:[49,2,1,""],perf_report:[50,2,1,""]},"triton.testing.Benchmark":{__init__:[48,1,1,""]},triton:{Config:[11,0,1,""],autotune:[12,2,1,""],heuristics:[13,2,1,""],jit:[14,2,1,""]}},objnames:{"0":["py","class","Python class"],"1":["py","method","Python method"],"2":["py","function","Python function"]},objtypes:{"0":"py:class","1":"py:method","2":"py:function"},terms:{"0":[1,2,3,4,5,7,9,10,32,33,34,37,47,49],"00":7,"0000":3,"000000":2,"000001":2,"000002":2,"000009":5,"003845":3,"004273":1,"01":[1,3,7],"011":[4,7],"02":[2,7],"025776":3,"028308":3,"03":[3,7],"04":[4,7],"042978":3,"044730":3,"05":[5,7],"058574":2,"061463":3,"062468":3,"0625":3,"066660":5,"066667":5,"079980":5,"08199":4,"083026":5,"08452":4,"084721":1,"085717":5,"088617":5,"091565":5,"0938":3,"095313":3,"096776":5,"097543":2,"098897":5,"0f":10,"0s":4,"1":[1,2,3,4,5,8,10,13,32,33,34,37],"10":[1,3,4,5],"100":[2,49],"101981":3,"102191":3,"1024":[1,3,4,5,12],"10240":5,"102570":5,"1045":3,"1048576":1,"106434":4,"10752":5,"108233":5,"108913":3,"11":[0,1,3,5],"111783":2,"11264":5,"1152":3,"11776":5,"118087":5,"12":[1,3,5,7],"120002":3,"12160":2,"12288":[2,5],"123":4,"12416":2,"12544":2,"12672":2,"127":1,"128":[1,2,3,5,12],"1280":3,"12800":5,"128191":5,"13":[1,3,5],"131072":1,"1328":3,"133":5,"13312":5,"133347":2,"134217728":1,"13686":4,"13824":5,"138541":3,"14":[1,3,5],"140799":3,"1408":3,"142862":2,"14336":5,"14848":5,"149375":2,"149397":4,"15":[1,3,5],"150050":3,"153":2,"153487":5,"1536":[3,5],"15360":5,"154":2,"155572":3,"15872":5,"16":[2,3,5,10,47],"160":2,"162":[2,5],"162157":5,"16384":1,"1664":3,"16777216":1,"17":[3,5],"170242":3,"17879":4,"1792":3,"179533":2,"179836":5,"18":[3,5],"180121":5,"182":5,"1823":2,"188":2,"19":[1,3,5],"190482":1,"190689":5,"191":5,"192":1,"1920":3,"198":2,"1982":10,"198220":5,"1983":9,"1984":10,"1989":10,"1991":[9,10],"1999":10,"1d":[1,2,3],"1e":[1,2,3,5],"1s":4,"2":[1,2,3,4,5,8,10,11,13,32,33,49],"20":[3,5,49],"200000":1,"200001":3,"2004":10,"2006":10,"2011":4,"2012":10,"2013":9,"2014":[4,9],"2016":[9,10],"2017":9,"2018":[9,10],"201833":5,"2019":10,"2021":[9,10],"2048":[2,3,5],"207195":5,"207907":5,"208":5,"208507":3,"2097152":1,"21":[3,5],"212868":4,"2141":1,"214186":4,"216187":2,"2176":3,"217818":5,"219":1,"22":[3,5],"220":[3,5],"222222":5,"229369":5,"23":[2,3,5,7],"2304":3,"231":5,"231237":5,"24":[3,5,7],"242":5,"242181":3,"242569":5,"243":5,"2432":3,"243907":5,"245":[3,5],"246":5,"246765":5,"248":5,"249":5,"25":[3,5,49],"251065":3,"252":5,"253":5,"254":5,"256":[1,2,3,5,11],"2560":[3,5],"257":5,"258181":3,"26":[3,5],"260":5,"260869":3,"262":5,"262144":1,"262212":3,"2656":3,"267":5,"267711":5,"2688":3,"269":5,"269692":3,"27":[3,5],"271186":5,"271796":3,"273":5,"276800":3,"278512":5,"279570":5,"28":[1,3,5],"280":5,"2812":3,"2816":3,"284":5,"285":5,"286":5,"288":5,"289":5,"2891":3,"29":[3,5],"290":5,"291":5,"292":5,"293429":4,"294":5,"2944":3,"295":5,"2d":[3,5,23],"2m":2,"2mn":2,"3":[0,1,2,3,4,5,10],"30":3,"301075":5,"304157":3,"305746":3,"305878":3,"3072":[3,5],"3076":1,"308":5,"31":[1,3],"310171":3,"310944":3,"311":5,"3125":3,"317":5,"319081":3,"32":[3,5,11],"3200":3,"321838":2,"323343":5,"325":5,"326":5,"326017":5,"326741":5,"32768":1,"3281":3,"33":3,"3328":3,"333321":1,"33554432":1,"336389":3,"336555":5,"338":5,"34":3,"341":1,"34172":4,"3438":3,"3456":3,"3477":3,"351":5,"3516":3,"3555":3,"3584":[3,5],"36":3,"360017":2,"362445":1,"365811":3,"367":5,"367588":3,"3712":3,"3713":1,"371721":4,"372800":3,"374":5,"38":1,"380953":3,"384":[2,3,5],"3840":3,"384000":3,"388456":3,"39":3,"3906":3,"395283":3,"3968":3,"398":5,"3984":3,"3986":4,"3d":[32,33],"3mn":2,"4":[1,2,3,5,10,11,12,35],"40":3,"400001":1,"400016":[1,2],"4023":3,"403344":4,"403347":4,"405":5,"406":2,"4062":3,"408716":4,"4096":[1,2,3,5],"412":[2,5],"412561":5,"414233":5,"415":[2,5],"41576":4,"416":5,"4194304":1,"420":5,"421":5,"42142":4,"423":5,"428":5,"428372":4,"428568":1,"428801":3,"429":5,"429770":1,"430":5,"430545":3,"431969":4,"433562":5,"439":5,"440290":5,"443":[5,7],"446516":3,"447":5,"447482":5,"448255":1,"4492":3,"45":3,"450695":5,"4531":3,"453844":5,"457532":2,"46":[1,3,7],"460":5,"4608":5,"4609":3,"461":5,"464755":3,"465340":5,"4688":3,"469040":5,"47":7,"472":1,"481278":5,"482":5,"4940":1,"498":5,"498941":3,"498981":2,"4m":2,"4x":2,"5":[1,3,4,5,10,49],"500":5,"5000":3,"501303":5,"507":5,"507855":5,"508447":3,"509933":5,"51":3,"512":[2,3,4,5],"5120":5,"512412":3,"513091":5,"515":5,"517949":5,"52":3,"522120":3,"524288":1,"525":5,"526831":3,"527":5,"53":3,"530610":2,"530615":3,"5312":3,"538":5,"54":3,"541":4,"544":5,"546":2,"548":[2,7],"552452":3,"552988":3,"554":5,"56":3,"5632":5,"563555":3,"566038":2,"566838":2,"568":5,"568431":4,"571423":5,"580429":5,"585":2,"5859":3,"586858":4,"588687":3,"5898":3,"59":3,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"600589":5,"601834":3,"606":2,"6094":3,"610071":5,"612060":3,"614":[1,2,7],"6144":5,"615390":1,"62":3,"620":[3,7],"633240":2,"634130":5,"64":[1,3,5],"640":[2,3],"643199":3,"644296":5,"64kb":5,"650282":5,"651187":5,"655":2,"65536":[1,5],"656000":3,"656574":1,"661056":5,"661740":2,"664":2,"6656":5,"666684":2,"67":3,"67086":4,"67108864":1,"6724":1,"673567":5,"68":3,"682":2,"683593":5,"683877":5,"686414":5,"69":3,"6953":3,"696898":5,"698415":3,"699797":5,"7":[0,1,3,5,10],"70":3,"7031":3,"704243":3,"7070":3,"707203":5,"707878":4,"708969":5,"71":3,"712490":3,"7168":5,"716830":2,"719258":4,"72":3,"722":[1,2],"723894":3,"724127":5,"73":3,"733474":3,"737435":1,"743443":4,"7500":3,"754967":2,"759501":5,"76":[1,3],"767446":5,"767458":5,"768":[2,3],"7680":5,"768000":3,"77":3,"773130":3,"775569":3,"78":3,"780":1,"781":2,"786952":5,"79":3,"793096":5,"79719":4,"799469":5,"8":[1,2,3,5,10,11,12,47,49],"80":[3,49],"800002":1,"806694":4,"808501":5,"809875":3,"81":3,"811163":1,"812":[1,2],"814":2,"814814":2,"815384":5,"817432":4,"8192":[1,5],"82":3,"823517":[1,2],"83":3,"832567":3,"833":1,"833728":3,"838026":4,"8388608":1,"84":3,"842":1,"84284":4,"843":1,"845844":5,"847":1,"848":1,"849":1,"849059":5,"85":3,"850":1,"857144":5,"86":3,"87":3,"8704":5,"873953":3,"873965":2,"877538":3,"88":3,"8828":3,"8867":3,"888887":3,"89":3,"8906":3,"8945":3,"895304":2,"896":3,"899428":3,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"900318":3,"905938":3,"908442":3,"91":3,"9216":5,"9219":3,"929456":3,"93":[2,3],"9375":3,"94":[2,3],"941930":5,"9492":3,"95":2,"950501":5,"952835":4,"9531":3,"954908":5,"958106":5,"959706":3,"96":[2,5],"960466":3,"9688":3,"97":[2,3],"971190":2,"9728":5,"9733":1,"978909":3,"98":2,"9805":3,"98432":1,"9844":3,"987724":5,"99":5,"992":[1,7],"999995":1,"999999":1,"abstract":[9,10],"break":10,"byte":2,"case":[1,2,9,10,13,16,17,18,19,20],"class":[2,5,9,10,11,48],"default":49,"do":[2,3,9,10,25,44],"float":[2,9,10,49],"function":[1,2,3,4,5,10,12,13,14,48,49,50],"import":[1,2,3,4,5,9,10],"int":[1,9,10,13,15,21,32,33,39,47,49],"new":[21,39,47],"return":[1,2,3,4,5,15,16,17,18,19,20,23,25,27,29,32,33,34,35,36,37,38,45,46,47,49,50],"static":[0,9,10],"super":3,"switch":3,"true":[1,2,3,5,46],"try":[3,11],"var":[5,10],"voil\u00e0":4,"while":[3,5,9],A:[3,4,9,10],And:[0,3],As:[2,3,4,9,10],At:[4,10],But:4,By:49,For:[3,9,10,11],If:[4,10,35,44,46,48],In:[1,2,3,4,10],It:[1,3,4,6,8,10,14],Of:9,On:10,One:3,The:[1,2,3,4,9,10,16,17,18,19,20,21,23,32,33,34,35,36,37,39,44,46,50],There:1,These:10,To:[1,4,9,10,12],_:5,__expf:2,__init__:[11,48],_db:5,_dropout:4,_dw:5,_layer_norm_bwd_dwdb:5,_layer_norm_bwd_dx_fus:5,_layer_norm_fwd_fus:5,_matmul:3,_seeded_dropout:4,a100:[3,10],a_ptr:3,ab:1,abl:10,about:[1,2,3,4,8],abov:[1,2,3,4,10,12],academ:9,acc:[3,9,10],acceler:9,access:[1,3,9,10,14],accomod:3,accordingli:10,account:10,accumul:[3,5,10],accuraci:[3,9],achiev:[3,9,10],across:[2,4,9,10],activ:3,actual:[3,9,10],add:[1,4,5,7,16],add_kernel:1,addit:[2,6,7,9,49],addition:10,address:[9,25],adopt:10,advanc:[2,3,9],advoc:10,affect:3,affin:10,after:3,against:[0,1,2,3,8],aggress:[9,10],agnost:[9,10],ahead:10,aim:[2,8],al:[9,10],alex:4,algebra:10,algorithm:[3,4,9,10],alia:10,all:[2,3,4,6,9,10,12,27,29,31,45,48],allclos:[2,3],allen1984:10,allen:10,alloc:[1,2,3,5,9],allow:[1,2,5,9,10],along:[1,3,27,29,32,33,45,49],also:[1,2,3,4,5,9,10],altern:4,alwai:[10,46],amd:9,amen:10,amount:[5,9],ampl:10,an:[1,2,3,4,9,10,11,16,17,18,19,20,34,35,36,37],analog:1,analysi:[9,10],analyz:10,ancourt1991:10,ancourt:10,ani:[1,2,3,10,12,13,48],anoth:[2,10],anytim:12,apart:10,apex:5,apex_layer_norm:5,api:48,appear:48,appli:[3,4,5,9,10],applic:[4,10,13],approach:[9,10],appropri:1,approxim:2,ar:[0,1,2,3,4,9,10,12,14,25,31,44,46,48],arang:[1,2,3,4,5],arbitrari:3,architectur:[3,9],area:10,arg:[1,2,3,5,13,14,48],argument:[1,2,3,11,12,13,14,46,48],arrai:[10,47],arrang:3,art:[9,10],artifici:4,arxiv:[9,10],ask:2,aspect:10,asplo:9,assert:[1,3,4],assert_almost_equ:5,assum:[2,48],asynchron:[1,9],atom:[16,17,18,19,20],atomic_ca:5,atomic_xchg:5,auguin1983:9,auguin:9,auto:[2,3,10,11,12,13],autograd:5,autom:9,automat:[2,3,9,10,11],autotun:[3,10],avail:[0,4,9,10],avoid:[2,12,46],awar:9,awkward:4,axi:[1,2,3,4,5,27,29,32,33,45,48],b:[3,5,9,10],b_ptr:3,back:[1,2,3,4,5],backpropag:4,backward:5,bad:4,baghdadi2021:[9,10],baghdadi:[9,10],balanc:10,bandwidth:2,base:[4,8,9,10],basic:[1,6,10],becom:9,been:[1,9,10],befor:[3,12,16,17,18,19,20],begin:10,behavior:[10,12],being:[2,4],believ:10,below:[4,6,10],bench:0,bench_layer_norm:5,benchmark:[0,5,49,50],benefit:[2,9,10],best:[1,9],between:[1,9],bia:5,bit:4,block:[1,2,3,4,9,10,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,34,35,36,37,38,39,40,41,42,43,44,45,46,47],block_siz:[1,2,4,5,10,12,13],block_size_k:3,block_size_m:[3,5],block_size_n:[3,5],block_start:[1,4],blue:[1,2,3,5],boil:10,bool:[46,48],both:[10,46],bound:[1,2,3,10],branch:10,broad:9,broadcast:[21,25,44,46],buffer:5,build:[0,3],built:[1,10],c:[3,9,10],c_mask:3,c_ptr:3,cach:[9,10,25],cache_modifi:25,call:[1,3,10,14,35],callabl:[1,13,14,49],can:[0,1,2,3,4,9,10,12,50],cannot:[3,9,10],capabl:[8,9],cast:5,cd:0,cdiv:[1,3,4,5],ceil:13,certain:13,cgo:[9,10],challeng:4,chang:[3,4,12,25],chapter:8,characterist:10,cheap:9,check:[3,8],checkpoint:4,chen2018:9,chen:9,chip:2,choic:8,click:[1,2,3,4,5],clone:[0,5],close:10,cmake:0,cmp:[16,17,18,19,20],coalesc:9,code:[1,2,3,4,5,6,9,10],col:[3,5,10],col_offset:2,color:48,column:[2,3],com:0,combin:9,come:[2,3,10],command:0,common:10,commonli:10,compar:[2,3,4,5,8,10,16,17,18,19,20],compat:23,compil:[2,3,8,9,11,14,31],complet:10,complex:10,compos:[4,9],composit:10,comprehens:[9,10],comput:[4,5,8,9,10,13,22,24,26,28,30,40,41,42,43],computation:[9,10],concern:10,concis:[1,48],condit:[10,46],config:[3,12],configur:[3,11,12,50],confirm:2,connectom:9,consecut:10,consequ:9,consid:2,consist:4,constraint:[3,10],construct:9,constructor:48,consum:3,contain:[10,16,17,18,19,20,48],contextu:10,contigu:[3,15,38],control:[9,10],conveni:3,convert:[1,3,14],convolut:9,cooper:11,copi:[4,9,16,17,18,19,20],core:[9,10],correct:1,correspond:[1,2,3,48],cosin:22,cost:10,could:[2,10],count:5,cours:9,cpython:0,creat:[1,2,3,5,9],crucial:4,csv:1,ctx:5,cubla:[3,9],cuda:[1,2,3,4,5,9],cudnn:9,current:33,custom:[1,2,3,8],cut:3,cvpr:9,d:[2,4,12,14],dart:10,darte1999:10,data:[1,3,4,5,9,10,16,17,18,19,20,25,46,47],data_ptr:14,dataflow:10,david:4,db:5,db_ref:5,db_tri:5,deal:4,decad:9,decim:5,declar:1,decompos:10,decor:[1,3,12,13,14],decreas:4,dedic:3,deep:[3,4,9,10],def:[1,2,3,4,5,12,13],defin:[1,2,3,10,25],definit:10,denomin:2,denot:1,dens:10,depend:[0,10,46],deploi:9,describ:[4,10],design:10,desir:[21,39],detail:[3,10],detect:9,develop:[9,10],devic:[1,2,3,5],dg:5,dialect:10,dict:13,dictionari:[11,13],diesel:10,differ:[1,2,3,4,9,10,48],difficult:10,difficulti:[3,9],dijkstra82:10,dijkstra:10,dim:[2,5,10],dimens:[3,23,27,29,45],dimension:[3,10,23],dir:0,direct:3,disjoint:10,disk:1,dissert:10,distribut:[2,4,10],divis:3,dnn:[8,9,10],do_bench:[1,2,3,5],doc:4,doe:[1,2,3,10],doesn:[5,10],domain:[9,10],don:[1,2,3],done:[3,9,27,29,45],dot:3,doubli:3,doubt:10,down:[3,10],download:[0,1,2,3,4,5,6],dram:[1,2],dropout:[6,7],dror:4,dsl:[8,9,10],dtype:[1,2,3,5,16,17,18,19,20,25,44,47],dw:5,dw_ref:5,dw_tri:5,dx:5,dx_ref:5,dx_tri:5,dy:5,e:[0,2,3,4,9,10,47],each:[1,2,3,4,5,9,10,11,13],eas:10,easi:[3,4],easier:[1,2,9],easili:3,ed:[1,3],education:2,effect:10,effici:[3,4,9,36],effort:10,either:[1,32,33,46],elango2018:10,elango:10,element:[1,2,3,4,5,22,24,26,27,28,29,30,40,41,42,43,44,45,46,48],element_s:[2,5],element_ti:[16,17,18,19,20,25,44],elementwis:[2,25],els:[3,5],emerg:9,empti:[3,5],empty_lik:[1,2,4,5],enabl:10,encod:10,encourag:4,end:[9,10,15],enforc:10,engin:10,enqueu:[1,2,5],ensur:10,entir:10,entri:36,environ:8,ep:5,equal:10,error:3,especi:9,et:[4,9,10],euromicro:9,evalu:[3,4,12,46],even:[4,10],evidenc:9,evolv:9,exampl:[1,2,3,4,5,6,9,10,11],exchang:20,execut:[7,9,10,11,50],exist:[9,10],exp:2,expect:[2,16,17,18,19,20],expens:[9,10,13],explor:[4,9],exponenti:[2,24],express:[9,10],extar:1,extend:[3,4],extract:3,extrem:10,f:[1,2,3,10],facilit:[9,10],fact:10,fairli:3,fals:[25,44,46,48,49],far:2,fast:[2,5,9,10],faster:[2,35],fastest:10,featur:5,feel:3,fetch:9,few:10,field:9,figur:10,file:[1,2,3,7],fill:47,final_db:5,final_dw:5,fine:4,first:[1,3,4,5,8,10,23,28,30],first_pid_m:3,firstli:4,fit:2,fix:48,flag:2,flatten:38,flexibl:9,float16:[3,5,23,47],float32:[1,2,3,4,5,23,34,37],flow:[9,10],fly:4,fn:[14,49],focu:[3,10],folder:4,follow:[0,2,3,8,9,10],footprint:4,forc:4,forget:1,formal:10,format:10,forward:5,found:[16,17,18,19,20],foundat:10,four:36,fp16:3,fp32:3,frac:4,framework:[9,10],free:3,from:[1,2,3,4,9,10,25,46],full:[1,2,3,4,5],fulli:10,func:10,fundament:10,further:[4,10],fuse:[3,5,6,7],fusedlayernorm:5,fusion:[2,10],g:[3,4,9,10,47],galleri:[1,2,3,4,5,6],gb:[1,2,5],gbp:[1,2,5],gener:[1,2,3,4,5,6,9,10,34,35,36,37,48],geoffrei:4,geq:10,get:[1,2,3,4,7],girbal2006:10,girbal:10,git:0,github:0,give:9,given:[2,3,4,21,32,33,34,35,36,37,39,47],global:10,go:[1,3,10],good:[1,10],gpgpu:9,gpu:[1,2,4,8,9,10,11,14],grad:5,grad_to_non:[5,49],gradient:[5,49],grammat:10,graphic:9,greater:2,green:[1,2,3,5],grid:[1,2,3,4,5,32,33],grid_m:3,grid_n:3,grosser2012:10,grosser:10,group:3,group_id:3,group_m:3,group_size_m:[3,5],grow:10,guard:[1,2],guid:9,ha:[1,3,4,9,10,32,33],had:1,halid:[9,10],hand:10,handl:[1,2,4,10],handwritten:9,hard:3,harder:10,hardwar:[3,8,10],hasn:1,have:[2,4,9,10,14,23,46,48],heavi:9,helper:[1,2],henc:3,here:[1,2,3,4,5],heurist:[2,5],hierarch:9,hierarchi:10,high:[3,9,10],higher:3,highli:9,highlight:10,hint:10,hinton:4,hit:3,how:[1,2,3,8,9,13],howev:[2,10],html:4,http:[0,4],i:[1,2,3,4,5,9,10],id:[3,33],idea:9,ideal:2,ident:2,identifi:1,idx:[25,44],ilya:4,imag:[9,10],implement:[1,2,3,4,9,10],implicitli:[1,14,25,44],importantli:10,impos:10,improv:[3,4],incompat:[3,10],incorrect:3,increas:[1,2,3,4],incred:9,increment:10,inde:10,independ:[2,5,10],index:1,indic:[10,46],induc:10,industri:9,inequ:10,inf:2,inform:10,infrastructur:10,initi:[1,3],inner:[3,23],inplac:3,input:[1,2,3,4,5,10,13,21,22,23,24,26,27,28,29,30,31,38,39,40,41,42,43,45],input_ptr:2,input_row_strid:2,instal:8,instanc:[1,2,3,4,5,9,11,32,33],instanti:4,instead:[2,46],instruct:[8,9],int1:[25,44],int32:[4,5,35,36],integ:10,interchang:10,interest:[5,9,10],intermedi:10,intern:[2,10],interv:15,intrins:10,introduc:4,introduct:8,invari:[2,10],invoc:4,ipynb:[1,2,3,4,5],ir:10,irregular:[2,10],is_contigu:[3,4],is_cuda:1,isn:3,issu:[9,10],iter:[3,9,10],its:[1,2,3,10],j:[3,9,10],jit:[1,2,3,4,5,12,13],jmlr:4,john:4,johnson:4,journal:10,jrk2013:9,jupyt:[1,2,3,4,5,6],just:[3,10,13],k:[3,4,9,10],kb:9,keep:4,kei:[3,9,12],kellei:9,kernel:[4,5,8,9,11,12,13],keyword:[1,11],ki:10,kind:2,know:31,known:10,krizhevski:4,kwarg:14,l2:5,label:[1,2,3,48],lam1991:9,lam:9,lambda:[1,2,3,4,5,13],languag:[1,2,3,4,5,8,9,14],larg:[9,10],last:3,later:[2,10],latest:0,lattner2004:10,lattner2019:10,lattner:10,launch:[1,2,3,32,33],law:10,layer:[6,7,9,10],layer_norm:5,layernorm:5,lead:[4,9,10],leaky_relu:3,leakyrelu:3,learn:[1,2,3,4,8,9,10],least:10,lee2017:9,lee:9,left:10,legal:10,length:1,less:[4,5,9,10],let:[1,2,4,31],letter:10,level:[3,9,10],li:9,librari:[0,3,9,10],lifelong:10,like:[1,4,9,10,35],limit:[2,4],lindenstrauss:4,line:[1,2,3,4,10,48],line_arg:[1,2,3,5,48],line_nam:[1,2,3,5,48],line_v:[1,2,3,5,48],linear:[9,10],link:0,list:[1,3,12,13,48,49,50],litteratur:10,ll:4,llvm11:0,llvm:[0,10],load:[1,2,3,4,5,10,46],local:[9,10],locat:[3,16,17,18,19,20,25,44],lock:5,lock_id:5,log2:13,log:48,logarithm:[1,26],look:[4,8,9],loop:[3,10,11],low:[6,7,10],m:[0,2,3,5,9],machin:[9,10],machineri:[9,10],made:9,mai:[2,10,13],main:[3,9,10],maintain:[2,10],major:[3,10],make:[1,2,9,10],manag:[4,9],mani:[1,9,10],manual:[2,10],manual_se:[1,2,3],map:3,mapl:10,mark:[4,50],markedli:9,mask:[1,2,3,4,5,16,18,19,20,25,44,46],match:[3,16,17,18,19,20],math:13,mathbb:10,mathbf:10,mathcal:[10,37],mathemat:10,matmul:[3,10],matmul_kernel:3,matric:[2,3],matrix:[2,4,6,7,9,10,11,23],matrix_s:10,matter:[3,9,10],max:[1,2,5,18],max_fused_s:5,max_m:[1,2,3,5],maxim:[8,10,36],maximum:[1,2,27],mb:[7,9],mean1:5,mean2:5,mean:[3,5,10,12],mechan:[2,10],median:49,memori:[1,2,3,6,7,9,10,16,17,18,19,20,25,44,46],mention:3,meta:[1,2,3,4,5,11,12,13],metaparamet:1,method:[10,11,14,48,50],methodolog:10,micro:9,min:[3,5,19],min_m:[1,2,3,5],minimum:29,minut:[1,2,3,4,5],miss:10,mitig:10,ml:9,mlir:10,mn:2,mode:5,model:[1,9,10],modern:[3,8,9,10],modular:10,moor:10,mora:4,more:[2,3,4,8,9,10,48],most:[3,10],mostli:11,move:3,movement:4,ms:[1,2,3,5,49],much:[2,3],mullapudi2016:10,mullapudi:10,multi:[3,9,10],multipl:[1,4,6,7,9,10,11,12,31,35],multipli:[3,4,5,10,23],must:[2,3,15,23,46],n:[2,3,5,9,37],n_col:2,n_element:[1,4],n_row:2,naiv:[2,4],naive_softmax:2,name:[1,2,3,12,13,48],nativ:[1,2,3],natur:[2,9,26],nb:9,necessari:2,need:[1,2,3,4,35],nelement:2,nest:[3,10],net:10,network:[4,9,10],neural:[4,9,10],neurosci:9,never:4,next:[2,3],next_power_of_2:[2,5],nightli:0,nip:9,nitish:4,nn:[3,5],non:9,none:[2,3,5,12,16,18,19,20,25,44,48,49],nonzero:46,norm:[4,5,7],normal:[2,3,6,7],normalized_shap:5,note:[0,1,2,3,4,10,12,14,46],notebook:[1,2,3,4,5,6],notic:[2,10],notori:[3,9],novel:9,now:[1,3],num_pid_in_group:3,num_pid_m:3,num_pid_n:3,num_stag:[3,11],num_warp:[2,3,5,11,12],number:[1,2,3,4,5,10,11,32,34,35,36,37],numel:[1,4,5],numer:[2,9],nvidia:[9,25],o:[2,4],object:[1,3,9,11,12,14,16,17,18,19,20],obtain:1,obvious:2,occur:10,off:5,offer:9,offici:0,offs_am:3,offs_bn:3,offs_cm:3,offs_cn:3,offs_k:3,offset:[1,4,5,34,35,36,37],often:3,omega:10,onc:[2,9,10],one:[2,3,4,5,6,9,10,48],onli:[2,3,4,9,10,14],op:[1,2],open:15,openai:0,opencl:9,oper:[1,2,3,4,6,9,16,17,18,19,20,46],opportun:9,opsila:9,optim:[9,10],option:[1,3,25,44,48,49],orang:5,order:[2,3,6,10],org:4,origin:10,osdi:9,other:[2,3,4,5,8,10,14,23,25,28,30],otherwis:[4,46],our:[1,2,3,9],out:[1,2,3,4,5,8,10],outlin:10,output2:4,output3:4,output:[1,2,3,4,5],output_ptr:[1,2,4],output_row_start_ptr:2,output_row_strid:2,output_torch:1,output_triton:1,over:[2,4,9,10],overfit:4,overflow:2,own:3,p:[4,10],pa:3,packag:14,pact:10,pad:2,par:3,paradigm:[9,10],paragraph:4,parallel:[1,2,3,4,5,8,9,10,11],paralleliz:9,param:13,paramet:[1,3,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50],parametr:9,part:[3,4,10],partial:5,partial_db:5,partial_dw:5,particular:[2,3],particularli:[9,10],partit:9,pass:[1,5,10,11],past:[9,10],path:1,pattern:9,pb:3,peak:10,per:[2,4,5],percentil:49,perf:3,perf_report:[1,2,3,5,48],perform:[1,2,4,9,10,16,17,18,19,20,49],persist:4,person:10,perspect:10,pgm:1,phase:10,philosophi:10,philox:[4,36],pid:[1,3,4,5],pid_m:3,pid_n:3,pip:0,pipelin:[9,10,11],platform:[8,10],pldi:9,plot:[0,1,2,3,48],plot_nam:[1,2,3,5,48],pmatrix:10,point:[1,10,36],pointer:[1,2,4,5,14,16,17,18,19,20,25,44],pointerdtyp:[16,17,18,19,20,25,44],polli:10,polyhedr:9,polyhedra:10,popular:10,portabl:[9,10],pose:9,posit:[5,13],possibl:[1,2,3,10,11],power:[2,4,10,13,15],ppopp:10,practic:[1,2,3,9],pragma:9,pre:[0,9],prealloc:1,predict:10,prefer:2,premis:9,present:[0,3],preserv:10,preserve_rng_st:4,prevent:[4,10],primer:10,primit:[9,14],principl:10,print:[1,2,3,4],print_data:[1,2,3,5],prng:4,probabl:[4,10],problem:1,problemat:10,procedur:10,process:[1,5,9,10],processor:9,produc:[3,4],product:[8,10,23],program:[1,2,3,4,5,8,9,32,33],program_id:[1,2,3,4,5],programm:[9,10],prohibitev:13,project:[4,9],promot:[3,10],properli:2,properti:10,propos:9,proprietari:3,provid:[1,2,3,4,5,8,10,12,27,29,45,49],prune:4,pseudo:[3,4,36],pseudorandom:4,ptr:3,ptx:25,purpos:[9,10],push:10,put:4,py:[0,1,2,3,4,5,7],pypi:0,pytest:0,python:[1,2,3,4,5,6,14],pytorch:[1,2,4],qquad:10,r:[0,2],ragan:9,rais:5,rand:[1,4,5],randint4x:35,randn:[2,3,4,5],randn_lik:5,random:[4,34,35,36,37],randomli:4,rang:[1,2,3,5,9,10],rapidli:[9,10],rate:3,rather:9,raw:1,rdom:10,re:[1,3],read:[2,3,6],reader:10,real:9,reason:10,recent:9,recommend:6,recomput:[4,9],record_clock:49,rectifi:9,redmon2016:9,redmon:9,reduct:[2,5,27,29,45],refer:1,regardless:[4,46],regim:4,regrett:9,regular:[4,10],rel:[1,10],relat:8,releas:[0,5,9],reli:10,relu:3,remain:[9,48],rememb:3,reorder:10,rep:[5,49],repetit:49,repres:[2,3,10,11],requir:[0,2,4,10],requires_grad:5,requires_grad_:5,research:[9,10],reset:[12,49],reset_to_zero:12,reshap:5,resolut:10,resourc:9,resp:10,respect:10,restrict:10,result:[0,1,2,9,10],ret:2,retain_graph:5,retriev:10,reus:3,revisit:9,right:10,rise:10,role:10,ron:4,root:43,roughli:3,row:[2,3,4,5],row_idx:2,row_minus_max:2,row_start_ptr:2,rstd:5,run:[0,1,2,3,4,5,8,10,12,14,50],runtim:[10,49],runtimeerror:5,ruslan:4,rvar:10,s:[1,2,4,5,10,36],said:10,salakhutdinov:4,salmon2011:4,salmon:4,same:[4,9,48],sato2019:10,sato:10,save:[1,2,3],save_for_backward:5,save_path:[1,5],saved_tensor:5,sc:10,scalabl:10,scalar:[4,9,23,34,35,36,37,47],scale:48,scan:10,schedul:9,scienc:10,scientif:10,scop:10,scope:10,script:[0,1,2,3,4,5],second:[1,2,3,4,5,10,23,28,30],secondli:4,section:[3,10],see:[1,2,3,4,10],seed:[34,35,36,37],seeded_dropout:4,seem:[1,10],select:[9,10,46],self:[11,48],semant:10,semi:10,sens:[1,9,10],separ:[5,10],sequenc:9,set:[1,4,10],setup:0,sever:[9,10],shall:10,shape:[2,3,4,5,10,21,25,39,44,46,47],share:9,shaw:4,shift:2,should:[1,3,9,10,11,27,29,45,48],show_plot:[1,2,3],shown:10,side:10,sight:10,signal:9,significantli:2,sigplan:10,simd:9,simpl:[1,2,3,4],simplest:6,simpli:10,simplic:3,simplifi:4,sinc:[1,2,3],sine:41,singl:[2,4,9,35],size:[1,2,4,10],slower:[9,10],slowest:10,sm80:11,sm:10,smaller:[3,4],smallest:[2,13],snemi3d:9,so:[1,2,3,4,10],softmax:[4,6,7],softmax_kernel:2,softmax_output:2,softwar:11,solid:10,solut:3,solv:10,some:3,sometim:10,sourc:[1,2,3,4,5,6,10],space:[9,10],spars:[4,9,10],spatial:10,speak:3,special:9,specif:[3,9],specifi:[10,13,16,17,18,19,20,44],speed:2,sphinx:[1,2,3,4,5,6],split:10,spmd:[1,9,10],sqrt:5,squar:43,sram:[2,3,5],srivastava2014:4,srivastava:4,stabil:2,stabl:0,stage:11,stai:5,standard:10,start:[5,6,15],started_tutori:7,state:[4,9,10],statement:10,staticmethod:5,std:5,step:10,still:[1,2,3,10],stop:15,store:[1,2,3,4,5,16,17,18,19,20,46],str:[12,13,25,48],straightforward:3,strategi:[4,10],stream:[5,35],strength:9,stride:[2,3,4,5],stride_ak:3,stride_am:3,stride_bk:3,stride_bn:3,stride_cm:3,stride_cn:3,stride_xi:3,stride_xj:3,structur:[9,10],style:[1,2,3,5,48],subscript:10,substanti:9,substract:2,subtract:2,successfulli:10,suffer:10,suit:9,sum:[1,2,5],sum_db:5,sum_dw:5,superhuman:9,support:[4,5,10],sure:2,surprisingli:9,surround:10,suspicion:2,sutskev:[4,9],sutskever2014:9,swap:[16,17,18,19,20],swizzl:9,synchron:[1,9],system:[0,3,9,10],t:[1,2,3,5,10],t_:10,tabul:4,taco:10,take:[3,4,8,13],taken:10,target:9,techniqu:[3,9,10],temperatur:4,tempor:10,tend:10,tension:9,tensor:[1,2,3,4,5,9,10,12,14,49],tensorrt:9,test:[0,1,5,8],test_layer_norm:5,text:10,tflop:3,th:49,than:[2,3,5,9,10,35,48],thei:[3,9,10],them:1,themselv:3,theoret:2,therebi:10,therefor:3,theta:10,theta_:10,thi:[1,2,3,4,5,9,10,12,13,14,36,48],thing:[1,4],think:2,those:2,though:[9,10],thought:10,thread:[2,9,11],through:[6,10],throughout:[10,48],throughput:8,tile:10,time:[0,1,2,3,4,5,9,10,12,35,49],tiramisu:[9,10],tl:[1,2,3,4,5,47],tmp:0,tog:10,togeth:4,tolist:4,topic:10,torch:[1,2,3,4,5,14,49],torch_output:3,torch_relu:3,total:[1,2,3,4,5,7],tradit:[4,9,10],transform:[4,10],travers:10,trend:9,tri:[21,39],trick:2,tricki:4,trigger:[3,12],triton:[0,1,2,3,4,5,6,9,10],triton_output:3,trivial:9,tune:[2,3,10,12,13],tuner:11,tupl:[1,21,39,47],tutori:[1,2,3,4,8],tutorials_jupyt:6,tutorials_python:6,tvm:[9,10],two:[1,2,3,10,12,13,15,23],txt:0,type:[13,23,25,46,47],typecast:[25,44],typic:10,u:[0,34],un:10,uncommon:10,underneath:10,understand:2,undesir:12,unfortun:[3,10],unifi:9,uniformli:4,unint:46,unit:[0,9],univers:10,unrol:10,up:2,updat:[3,10,12],us:[1,2,3,4,5,9,10,11,12,13,14,35,46,48,50],util:[1,5],v100:10,v:5,val:[16,17,18,19,20],valid:1,valu:[1,2,3,4,12,13,15,16,17,18,19,20,22,24,25,26,27,29,31,40,41,42,43,44,45,46,47,48,50],valuabl:2,variabl:[3,11],variant:9,variou:6,vasilach:[9,10],vasilache2018:[9,10],vast:10,vec:10,vector:[4,6,7,9,10],vendor:3,veri:[2,4,10],verif:10,verifi:[2,10],via:10,view:38,visibl:10,vision:9,vs:0,w:[5,10],w_shape:5,wa:4,wai:[2,3,4],want:[2,4,46],warmup:49,warp:[2,5,11],wast:2,wdy:5,we:[1,2,3,4,9,10],weight:5,well:[4,9,10],whatev:12,wheel:0,when:[2,3,4,9,10,11,12,14,46],where:[1,3,4,5,10,13,44],whether:[9,48],which:[1,2,3,4,5,9,10,12,27,29,45,48],whose:[1,2,3,4,10,12,25],wide:10,wise:[1,2,22,24,26,28,30,40,41,42,43,44],wish:[3,10],within:[3,14,15],without:10,wolf:10,wolfe1989:10,won:2,word:10,work:[2,4,8,9],workload:[3,11],wors:[3,9,10],would:[1,2,4],wouldn:10,wrapper:3,write:[1,2,3,4,5,6,8,10],wrote:2,x:[1,2,3,4,5,10,22,24,26,28,30,38,40,41,42,43,46,48],x_arg:5,x_keep:4,x_keep_ptr:4,x_log:[1,48],x_max:2,x_name:[1,2,3,5,48],x_ptr:[1,4,12,13],x_shape:5,x_size:[12,13],x_val:[1,2,3,5,48],xhat:5,xi:10,xii:10,xlabel:48,xmean:5,xo:10,y:[1,2,3,5,10,28,30,46,48],y_fwd:5,y_log:48,y_name:[1,2],y_ptr:1,y_ref:5,y_torch:2,y_tri:5,y_triton:2,year:10,yet:[9,10],yi:10,yield:46,yii:10,ylabel:[1,2,3,5,48],yo:10,you:[0,1,2,3,4,6,9,12,35,46],your:[0,1,8],yourself:[2,3],z:[1,2,10],zero:[3,4,5,12],zip:6},titles:["Installation","Vector Addition","Fused Softmax","Matrix Multiplication","Low-Memory Dropout","Layer Normalization","Tutorials","Computation times","Welcome to Triton\u2019s documentation!","Introduction","Related Work","triton.Config","triton.autotune","triton.heuristics","triton.jit","triton.language.arange","triton.language.atomic_add","triton.language.atomic_cas","triton.language.atomic_max","triton.language.atomic_min","triton.language.atomic_xchg","triton.language.broadcast_to","triton.language.cos","triton.language.dot","triton.language.exp","triton.language.load","triton.language.log","triton.language.max","triton.language.maximum","triton.language.min","triton.language.minimum","triton.language.multiple_of","triton.language.num_programs","triton.language.program_id","triton.language.rand","triton.language.randint","triton.language.randint4x","triton.language.randn","triton.language.ravel","triton.language.reshape","triton.language.sigmoid","triton.language.sin","triton.language.softmax","triton.language.sqrt","triton.language.store","triton.language.sum","triton.language.where","triton.language.zeros","triton.testing.Benchmark","triton.testing.do_bench","triton.testing.perf_report","triton","triton.language","triton.testing"],titleterms:{"final":3,addit:1,advantag:10,algebra:52,api:8,arang:15,arithmet:3,atom:52,atomic_add:16,atomic_ca:17,atomic_max:18,atomic_min:19,atomic_xchg:20,autotun:12,baselin:4,benchmark:[1,2,3,48],binari:0,broadcast_to:21,cach:3,challeng:9,co:22,comparison:52,compil:[10,52],comput:[1,2,3,7],config:11,creation:52,distribut:0,do_bench:49,document:8,dot:23,dropout:4,exercis:4,exp:24,from:0,further:8,fuse:2,gener:52,get:8,go:8,heurist:13,hint:52,index:52,instal:0,introduct:9,jit:14,kernel:[1,2,3],l2:3,languag:[10,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,52],layer:5,limit:10,linear:52,load:25,log:26,low:4,manipul:52,math:52,matrix:3,max:27,maximum:28,memori:[4,52],min:29,minimum:30,model:52,motiv:[2,3,9],multipl:3,multiple_of:31,normal:5,num_program:32,number:52,op:52,optim:3,packag:0,perf_report:50,perform:3,pointer:3,polyhedr:10,program:[10,52],program_id:33,python:[0,8],rand:34,randint4x:36,randint:35,randn:37,random:52,ravel:38,reduct:52,refer:[4,9,10],relat:10,represent:10,reshap:39,result:3,s:8,schedul:10,seed:4,shape:52,sigmoid:40,sin:41,softmax:[2,42],sourc:0,sqrt:43,squar:3,start:8,store:44,sum:45,test:[2,3,48,49,50,53],time:7,triton:[8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53],tutori:6,unit:[2,3],vector:1,welcom:8,where:46,work:10,zero:47}})
\ No newline at end of file