diff --git a/master/.buildinfo b/master/.buildinfo
index f60d1074b..d5d7a9342 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: fd44bdf18c835f10b59347df4a0ac28b
+config: 803119500a0a5b801d98e2d05bc29225
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/master/.doctrees/environment.pickle b/master/.doctrees/environment.pickle
index 3e2dc54f2..80d958ed3 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 09a2abd86..334eb42ce 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 6990562c3..4a9ec8adc 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 0101859ce..6b752271f 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 1fc116cc7..e7ce97f1b 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 769e6d95b..9f82b63a8 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 80c692657..17f52881a 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/index.doctree b/master/.doctrees/getting-started/tutorials/index.doctree
index 6e4a35dcc..c07d74173 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 a0dfca899..dcb15e743 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 753053014..3d9b9ec83 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 d0e5e0942..4ba5d766a 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 3c2b981c5..d2cd75a46 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 e8ef03b3a..c3ddde0eb 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 8b10ad488..ab4433d78 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 a94d9e109..db40cc4cd 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 66129571c..ae50bcfbb 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 fe003c2fc..9df678642 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 230f971fa..3ee37ce6f 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_cas.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_cas.doctree
index f364f4f08..aa65642a0 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 a0b75ed17..6713693e6 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 821aa83a1..63fa05ad5 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_xchg.doctree b/master/.doctrees/python-api/generated/triton.language.atomic_xchg.doctree
index 38e7b0e82..e06c8c4f0 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.broadcast_to.doctree b/master/.doctrees/python-api/generated/triton.language.broadcast_to.doctree
index 710828d3a..368920213 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 36c77c548..227d0a95c 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 84d3a533e..f0e034cbc 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 9927dde76..39efa934e 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 0b38bc9d6..e5ec20f36 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 670c2fe4c..e0f4cca38 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 d94942564..d3b746151 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 21f7b8b02..c387164fc 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 1937b4dcb..43a046645 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 329e9d9de..e4a3eb60b 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 e393bf5f0..8cfa638ce 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 4b957dfb7..494195803 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 f55b9f159..a655eacbc 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 04ddec6c1..ab4edc2bc 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 39edb03ec..fce4d0faf 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 4f6aed654..7040e60d8 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 a9f972652..999180110 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 ff95ef67f..7cd3094ba 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 1ae84a312..b2cbdc983 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 afefd7909..6ce26b5c4 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 518fe63fc..f32fe7646 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 21638ee29..1a9e51980 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 2799d09b7..bc48a6c31 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 4fd370831..23e3fe0d7 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 2343e9143..5e98afb14 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 4d517959e..44c617421 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 0fcd00ef9..17bd37296 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 894467b0d..52ca02300 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 0c6df9c84..b750ef9eb 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 75c28e975..0b99ece02 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 be3378623..d31086cd0 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 f08b6a013..faaf1ad8a 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 43f39818f..7b1bc91c8 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 66130c87d..91228e28f 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 bbbb4e603..814fb7a4a 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 a72eb3f96..85b4904fe 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 c50c81858..8c069a37f 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 6952285c0..90c15e88f 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 d63a504be..d8d70c355 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 729700251..f80a278ca 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 0a2f60992..a9870d36c 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 c5a27ce88..86241ed10 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 36780fbff..533b308a1 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 652e2b49f..2a0116fb5 100644
--- a/master/_sources/getting-started/tutorials/01-vector-add.rst.txt
+++ b/master/_sources/getting-started/tutorials/01-vector-add.rst.txt
@@ -245,7 +245,7 @@ We can now run the decorated function above. Pass `print_data=True` to see the p
     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  843.811163
+    13   33554432.0  842.004273  842.906750
     14   67108864.0  847.448255  848.362445
     15  134217728.0  849.737435  850.656574
 
@@ -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  41.086 seconds)
+   **Total running time of the script:** ( 1 minutes  38.111 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 1ace07c92..7ec2a7a10 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   188.321838
     1     384.0  614.400016      585.142862   153.600004
     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  815.765209      406.179533   198.834951
-    94  12288.0  814.111783      415.661740   199.096718
-    95  12416.0  814.163950      412.149375   198.655991
-    96  12544.0  814.214963      413.183734   198.913776
-    97  12672.0  814.265046      412.097543   198.873965
+    93  12160.0  814.058574      406.179533   199.038365
+    94  12288.0  814.111783      415.222812   199.298541
+    95  12416.0  814.163950      412.149375   198.854847
+    96  12544.0  814.214963      412.971190   199.111113
+    97  12672.0  814.265046      412.097543   199.069228
 
     [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  20.138 seconds)
+   **Total running time of the script:** ( 3 minutes  19.799 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 fee670401..0a51bd338 100644
--- a/master/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
+++ b/master/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
@@ -458,37 +458,37 @@ 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              7.899428
-    2    512.0  14.563555  ...  16.384000             16.384000
+    0    256.0   2.730667  ...   3.276800              2.978909
+    1    384.0   7.372800  ...   8.507077              8.507077
+    2    512.0  14.563555  ...  16.384000             15.420235
     3    640.0  22.260869  ...  24.380953             24.380953
     4    768.0  32.768000  ...  34.028308             34.028308
-    5    896.0  39.025776  ...  40.140799             39.025776
-    6   1024.0  51.150050  ...  52.428801             52.428801
+    5    896.0  37.971025  ...  40.140799             39.025776
+    6   1024.0  49.932191  ...  52.428801             52.428801
     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             66.485074
-    10  1536.0  80.430545  ...  79.526831             79.526831
-    11  1664.0  62.929456  ...  62.492442             62.061463
-    12  1792.0  72.983276  ...  71.588687             72.047592
-    13  1920.0  69.467336  ...  70.530615             70.530615
-    14  2048.0  73.584279  ...  76.959706             76.260072
-    15  2176.0  83.155572  ...  85.632545             85.632545
-    16  2304.0  68.446623  ...  76.319081             76.319081
-    17  2432.0  71.305746  ...  74.521127             84.877538
-    18  2560.0  78.019048  ...  81.310171             81.108913
-    19  2688.0  83.461070  ...  89.044730             89.464755
-    20  2816.0  81.521884  ...  82.446516             82.602666
-    21  2944.0  82.237674  ...  82.373605             82.921853
-    22  3072.0  82.181572  ...  88.750943             89.451983
-    23  3200.0  84.544253  ...  95.380032             95.096582
-    24  3328.0  83.130825  ...  83.905938             84.397770
-    25  3456.0  78.578525  ...  88.790274             90.382926
-    26  3584.0  87.211821  ...  98.483450             92.505546
-    27  3712.0  84.159518  ...  87.056508             85.751096
-    28  3840.0  85.005380  ...  92.390975             85.597527
-    29  3968.0  92.372393  ...  84.155345             88.809270
-    30  4096.0  86.370931  ...  92.627833             88.185107
+    10  1536.0  80.430545  ...  79.526831             78.643199
+    11  1664.0  62.929456  ...  62.492442             62.492442
+    12  1792.0  72.512412  ...  72.047592             72.047592
+    13  1920.0  68.776119  ...  70.172588             70.172588
+    14  2048.0  73.262953  ...  76.608294             76.260072
+    15  2176.0  83.155572  ...  85.815126             85.632545
+    16  2304.0  68.251065  ...  76.809875             76.809875
+    17  2432.0  71.305746  ...  84.877538             85.134737
+    18  2560.0  77.283019  ...  80.908642             81.108913
+    19  2688.0  83.369354  ...  89.888756             88.628636
+    20  2816.0  80.469019  ...  82.916747             81.369790
+    21  2944.0  81.967162  ...  81.698415             82.237674
+    22  3072.0  82.782312  ...  88.612060             88.335577
+    23  3200.0  84.656085  ...  95.380032             94.395283
+    24  3328.0  83.419811  ...  81.438120             85.602017
+    25  3456.0  81.849303  ...  90.382926             91.097818
+    26  3584.0  84.033077  ...  90.458141             96.579370
+    27  3712.0  85.970176  ...  85.530838             88.170647
+    28  3840.0  81.168440  ...  85.531326             91.777595
+    29  3968.0  88.040360  ...  90.321193             84.094627
+    30  4096.0  92.500158  ...  87.381330             88.069377
 
     [31 rows x 5 columns]
 
@@ -498,7 +498,7 @@ 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  2.945 seconds)
+   **Total running time of the script:** ( 6 minutes  1.523 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_03-matrix-multiplication.py:
diff --git a/master/_sources/getting-started/tutorials/04-low-memory-dropout.rst.txt b/master/_sources/getting-started/tutorials/04-low-memory-dropout.rst.txt
index 734355ed6..1ab30fb65 100644
--- a/master/_sources/getting-started/tutorials/04-low-memory-dropout.rst.txt
+++ b/master/_sources/getting-started/tutorials/04-low-memory-dropout.rst.txt
@@ -240,7 +240,7 @@ References
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.484 seconds)
+   **Total running time of the script:** ( 0 minutes  0.477 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_04-low-memory-dropout.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 5166f63dd..2410fa56b 100644
--- a/master/_sources/getting-started/tutorials/05-layer-norm.rst.txt
+++ b/master/_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  311.088617   98.303995  307.200008
-    1    1536.0  347.773587  134.540150  341.333333
+    0    1024.0  307.200008   98.303995  303.407414
+    1    1536.0  347.773587  134.050910  341.333333
     2    2048.0  420.102553  161.684218  325.509933
     3    2560.0  458.507457  181.775141  326.808501
-    4    3072.0  511.999982  192.501302  317.793096
-    5    3584.0  551.384634  208.271186  311.652167
-    6    4096.0  564.965515  220.412561  295.207204
-    7    4608.0  507.302750  232.825259  291.799469
-    8    5120.0  529.655159  242.845844  289.811322
+    4    3072.0  508.468972  192.501302  317.793096
+    5    3584.0  551.384634  208.271186  310.527060
+    6    4096.0  564.965515  220.412561  294.323343
+    7    4608.0  504.986315  232.825259  291.031570
+    8    5120.0  529.655159  242.845844  287.775181
     9    5632.0  542.843364  243.545956  288.820505
-    10   6144.0  548.163546  248.661056  286.322318
+    10   6144.0  546.133354  248.242431  286.322318
     11   6656.0  534.260858  256.000009  285.767438
-    12   7168.0  507.469040  260.654538  286.242939
-    13   7680.0  479.999983  262.564106  275.104486
-    14   8192.0  463.698115  267.130429  284.939124
-    15   8704.0  417.791980  267.815384  284.987724
-    16   9216.0  431.157889  272.394084  289.129410
-    17   9728.0  439.683593  280.278512  290.027323
-    18  10240.0  450.109870  286.433562  290.153487
-    19  10752.0  426.525614  247.172406  290.922209
-    20  11264.0  427.071098  245.760001  286.676558
-    21  11776.0  423.089806  249.888595  288.981596
-    22  12288.0  420.102570  254.673582  294.323369
-    23  12800.0  414.016170  253.674644  288.180121
-    24  13312.0  411.181478  252.959629  289.916513
-    25  13824.0  404.604870  257.190689  292.056329
-    26  14336.0  393.665895  254.485198  286.719986
-    27  14848.0  385.245405  257.665934  289.246765
-    28  15360.0  373.495460  257.970599  286.211174
-    29  15872.0  371.637071  261.626369  289.899545
+    12   7168.0  507.469040  260.260201  286.242939
+    13   7680.0  479.999983  262.564106  279.272719
+    14   8192.0  462.607053  267.130429  284.526763
+    15   8704.0  417.791980  267.472468  284.987724
+    16   9216.0  431.157889  272.394084  288.751954
+    17   9728.0  438.857162  280.110377  289.667485
+    18  10240.0  449.287041  286.433562  289.811322
+    19  10752.0  426.525614  247.172406  290.594591
+    20  11264.0  426.397479  245.536784  286.676558
+    21  11776.0  423.089806  249.667843  288.981596
+    22  12288.0  419.504980  254.673582  294.323369
+    23  12800.0  414.016170  253.465340  288.180121
+    24  13312.0  411.181478  252.759501  289.916513
+    25  13824.0  404.112047  257.190689  292.056329
+    26  14336.0  393.665895  254.297107  286.719986
+    27  14848.0  385.245405  257.665934  289.012175
+    28  15360.0  373.874218  257.790220  286.211174
+    29  15872.0  370.913333  261.626369  289.899545
 
 
 
@@ -339,7 +339,7 @@ Layer Normalization
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 2 minutes  11.317 seconds)
+   **Total running time of the script:** ( 2 minutes  12.404 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_05-layer-norm.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 d3b967a4b..6b472f09e 100644
--- a/master/_sources/getting-started/tutorials/sg_execution_times.rst.txt
+++ b/master/_sources/getting-started/tutorials/sg_execution_times.rst.txt
@@ -5,16 +5,16 @@
 
 Computation times
 =================
-**13:15.970** total execution time for **getting-started_tutorials** files:
+**13:12.314** total execution time for **getting-started_tutorials** files:
 
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 06:02.945 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 06:01.523 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:20.138 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:19.799 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 02:11.317 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 02:12.404 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:41.086 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:38.111 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_04-low-memory-dropout.py` (``04-low-memory-dropout.py``)       | 00:00.484 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_04-low-memory-dropout.py` (``04-low-memory-dropout.py``)       | 00:00.477 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
diff --git a/master/getting-started/tutorials/01-vector-add.html b/master/getting-started/tutorials/01-vector-add.html
index 05cae9e84..ee660bd73 100644
--- a/master/getting-started/tutorials/01-vector-add.html
+++ b/master/getting-started/tutorials/01-vector-add.html
@@ -335,12 +335,12 @@ for different problem sizes.</p>
 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  843.811163
+13   33554432.0  842.004273  842.906750
 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  41.086 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  38.111 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 b1c5ab54f..d11367bf2 100644
--- a/master/getting-started/tutorials/02-fused-softmax.html
+++ b/master/getting-started/tutorials/02-fused-softmax.html
@@ -369,17 +369,17 @@ 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  706.206879      640.000002   160.000000
 4     768.0  722.823517      664.216187   162.754967
 ..      ...         ...             ...          ...
-93  12160.0  815.765209      406.179533   198.834951
-94  12288.0  814.111783      415.661740   199.096718
-95  12416.0  814.163950      412.149375   198.655991
-96  12544.0  814.214963      413.183734   198.913776
-97  12672.0  814.265046      412.097543   198.873965
+93  12160.0  814.058574      406.179533   199.038365
+94  12288.0  814.111783      415.222812   199.298541
+95  12416.0  814.163950      412.149375   198.854847
+96  12544.0  814.214963      412.971190   199.111113
+97  12672.0  814.265046      412.097543   199.069228
 
 [98 rows x 4 columns]
 </pre></div>
@@ -392,7 +392,7 @@ 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  20.138 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 3 minutes  19.799 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 aa4ea16dd..050826bee 100644
--- a/master/getting-started/tutorials/03-matrix-multiplication.html
+++ b/master/getting-started/tutorials/03-matrix-multiplication.html
@@ -564,42 +564,42 @@ 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              7.899428
-2    512.0  14.563555  ...  16.384000             16.384000
+0    256.0   2.730667  ...   3.276800              2.978909
+1    384.0   7.372800  ...   8.507077              8.507077
+2    512.0  14.563555  ...  16.384000             15.420235
 3    640.0  22.260869  ...  24.380953             24.380953
 4    768.0  32.768000  ...  34.028308             34.028308
-5    896.0  39.025776  ...  40.140799             39.025776
-6   1024.0  51.150050  ...  52.428801             52.428801
+5    896.0  37.971025  ...  40.140799             39.025776
+6   1024.0  49.932191  ...  52.428801             52.428801
 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             66.485074
-10  1536.0  80.430545  ...  79.526831             79.526831
-11  1664.0  62.929456  ...  62.492442             62.061463
-12  1792.0  72.983276  ...  71.588687             72.047592
-13  1920.0  69.467336  ...  70.530615             70.530615
-14  2048.0  73.584279  ...  76.959706             76.260072
-15  2176.0  83.155572  ...  85.632545             85.632545
-16  2304.0  68.446623  ...  76.319081             76.319081
-17  2432.0  71.305746  ...  74.521127             84.877538
-18  2560.0  78.019048  ...  81.310171             81.108913
-19  2688.0  83.461070  ...  89.044730             89.464755
-20  2816.0  81.521884  ...  82.446516             82.602666
-21  2944.0  82.237674  ...  82.373605             82.921853
-22  3072.0  82.181572  ...  88.750943             89.451983
-23  3200.0  84.544253  ...  95.380032             95.096582
-24  3328.0  83.130825  ...  83.905938             84.397770
-25  3456.0  78.578525  ...  88.790274             90.382926
-26  3584.0  87.211821  ...  98.483450             92.505546
-27  3712.0  84.159518  ...  87.056508             85.751096
-28  3840.0  85.005380  ...  92.390975             85.597527
-29  3968.0  92.372393  ...  84.155345             88.809270
-30  4096.0  86.370931  ...  92.627833             88.185107
+10  1536.0  80.430545  ...  79.526831             78.643199
+11  1664.0  62.929456  ...  62.492442             62.492442
+12  1792.0  72.512412  ...  72.047592             72.047592
+13  1920.0  68.776119  ...  70.172588             70.172588
+14  2048.0  73.262953  ...  76.608294             76.260072
+15  2176.0  83.155572  ...  85.815126             85.632545
+16  2304.0  68.251065  ...  76.809875             76.809875
+17  2432.0  71.305746  ...  84.877538             85.134737
+18  2560.0  77.283019  ...  80.908642             81.108913
+19  2688.0  83.369354  ...  89.888756             88.628636
+20  2816.0  80.469019  ...  82.916747             81.369790
+21  2944.0  81.967162  ...  81.698415             82.237674
+22  3072.0  82.782312  ...  88.612060             88.335577
+23  3200.0  84.656085  ...  95.380032             94.395283
+24  3328.0  83.419811  ...  81.438120             85.602017
+25  3456.0  81.849303  ...  90.382926             91.097818
+26  3584.0  84.033077  ...  90.458141             96.579370
+27  3712.0  85.970176  ...  85.530838             88.170647
+28  3840.0  81.168440  ...  85.531326             91.777595
+29  3968.0  88.040360  ...  90.321193             84.094627
+30  4096.0  92.500158  ...  87.381330             88.069377
 
 [31 rows x 5 columns]
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 6 minutes  2.945 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 6 minutes  1.523 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/04-low-memory-dropout.html b/master/getting-started/tutorials/04-low-memory-dropout.html
index a3ef77bc7..aac593d86 100644
--- a/master/getting-started/tutorials/04-low-memory-dropout.html
+++ b/master/getting-started/tutorials/04-low-memory-dropout.html
@@ -372,7 +372,7 @@ to explore the <cite>triton/language/random</cite> folder!</p>
 <dd><p>Nitish Srivastava and Geoffrey Hinton and Alex Krizhevsky and Ilya Sutskever and Ruslan Salakhutdinov, “Dropout: A Simple Way to Prevent Neural Networks from Overfitting”, JMLR 2014</p>
 </dd>
 </dl>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  0.484 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  0.477 seconds)</p>
 <div class="sphx-glr-footer class sphx-glr-footer-example docutils container" id="sphx-glr-download-getting-started-tutorials-04-low-memory-dropout-py">
 <div class="sphx-glr-download sphx-glr-download-python docutils container">
 <p><a class="reference download internal" download="" href="../../_downloads/c9aed78977a4c05741d675a38dde3d7d/04-low-memory-dropout.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">04-low-memory-dropout.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 4363528bc..93506f004 100644
--- a/master/getting-started/tutorials/05-layer-norm.html
+++ b/master/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  311.088617   98.303995  307.200008
-1    1536.0  347.773587  134.540150  341.333333
+0    1024.0  307.200008   98.303995  303.407414
+1    1536.0  347.773587  134.050910  341.333333
 2    2048.0  420.102553  161.684218  325.509933
 3    2560.0  458.507457  181.775141  326.808501
-4    3072.0  511.999982  192.501302  317.793096
-5    3584.0  551.384634  208.271186  311.652167
-6    4096.0  564.965515  220.412561  295.207204
-7    4608.0  507.302750  232.825259  291.799469
-8    5120.0  529.655159  242.845844  289.811322
+4    3072.0  508.468972  192.501302  317.793096
+5    3584.0  551.384634  208.271186  310.527060
+6    4096.0  564.965515  220.412561  294.323343
+7    4608.0  504.986315  232.825259  291.031570
+8    5120.0  529.655159  242.845844  287.775181
 9    5632.0  542.843364  243.545956  288.820505
-10   6144.0  548.163546  248.661056  286.322318
+10   6144.0  546.133354  248.242431  286.322318
 11   6656.0  534.260858  256.000009  285.767438
-12   7168.0  507.469040  260.654538  286.242939
-13   7680.0  479.999983  262.564106  275.104486
-14   8192.0  463.698115  267.130429  284.939124
-15   8704.0  417.791980  267.815384  284.987724
-16   9216.0  431.157889  272.394084  289.129410
-17   9728.0  439.683593  280.278512  290.027323
-18  10240.0  450.109870  286.433562  290.153487
-19  10752.0  426.525614  247.172406  290.922209
-20  11264.0  427.071098  245.760001  286.676558
-21  11776.0  423.089806  249.888595  288.981596
-22  12288.0  420.102570  254.673582  294.323369
-23  12800.0  414.016170  253.674644  288.180121
-24  13312.0  411.181478  252.959629  289.916513
-25  13824.0  404.604870  257.190689  292.056329
-26  14336.0  393.665895  254.485198  286.719986
-27  14848.0  385.245405  257.665934  289.246765
-28  15360.0  373.495460  257.970599  286.211174
-29  15872.0  371.637071  261.626369  289.899545
+12   7168.0  507.469040  260.260201  286.242939
+13   7680.0  479.999983  262.564106  279.272719
+14   8192.0  462.607053  267.130429  284.526763
+15   8704.0  417.791980  267.472468  284.987724
+16   9216.0  431.157889  272.394084  288.751954
+17   9728.0  438.857162  280.110377  289.667485
+18  10240.0  449.287041  286.433562  289.811322
+19  10752.0  426.525614  247.172406  290.594591
+20  11264.0  426.397479  245.536784  286.676558
+21  11776.0  423.089806  249.667843  288.981596
+22  12288.0  419.504980  254.673582  294.323369
+23  12800.0  414.016170  253.465340  288.180121
+24  13312.0  411.181478  252.759501  289.916513
+25  13824.0  404.112047  257.190689  292.056329
+26  14336.0  393.665895  254.297107  286.719986
+27  14848.0  385.245405  257.665934  289.012175
+28  15360.0  373.874218  257.790220  286.211174
+29  15872.0  370.913333  261.626369  289.899545
 </pre></div>
 </div>
 <div class="line-block">
@@ -487,7 +487,7 @@ 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  11.317 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 2 minutes  12.404 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/sg_execution_times.html b/master/getting-started/tutorials/sg_execution_times.html
index 758720122..228d8b5ce 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>13:15.970</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
+<p><strong>13:12.314</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>06:02.945</p></td>
+<td><p>06:01.523</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>03:20.138</p></td>
+<td><p>03:19.799</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>02:11.317</p></td>
+<td><p>02:12.404</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>01:41.086</p></td>
+<td><p>01:38.111</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>
-<td><p>00:00.484</p></td>
+<td><p>00:00.477</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 </tbody>
diff --git a/master/searchindex.js b/master/searchindex.js
index 98b6defe1..bc870c4c2 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/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,"005380":3,"01":[1,3,7],"016170":5,"019048":3,"02":[2,7],"025776":3,"027323":5,"028308":3,"03":[3,7],"04":[4,7],"044730":3,"047592":3,"05":[5,7],"056329":5,"056508":3,"06":7,"061463":3,"0625":3,"071098":5,"08199":4,"08452":4,"084721":1,"086":[1,7],"088617":5,"089806":5,"0938":3,"096582":3,"096718":2,"097543":2,"0f":10,"0s":4,"1":[1,2,3,4,5,8,10,13,32,33,34,37],"10":[1,3,4,5,34,35,36,37],"100":[2,49],"1024":[1,3,4,5,12],"10240":5,"102553":5,"102570":5,"104486":5,"1045":3,"1048576":1,"106434":4,"10752":5,"108913":3,"109870":5,"11":[0,1,3,5,7],"111783":2,"11264":5,"1152":3,"11776":5,"12":[1,3,5],"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,"129410":5,"13":[1,3,5,7],"130429":5,"130825":3,"131072":1,"1328":3,"13312":5,"133347":2,"134":5,"134217728":1,"13686":4,"138":[2,7],"13824":5,"138541":3,"14":[1,3,5],"140799":3,"1408":3,"142862":2,"14336":5,"14848":5,"149375":2,"149397":4,"15":[1,3,5,7],"150050":3,"153":2,"153487":5,"1536":[3,5],"15360":5,"154":2,"155345":3,"155572":3,"157889":5,"15872":5,"159518":3,"16":[2,3,5,10,47],"160":2,"161":5,"162":2,"163546":5,"16384":1,"163950":2,"1664":3,"16777216":1,"17":[3,5],"172406":5,"17879":4,"1792":3,"179533":2,"18":[3,5],"180121":5,"181":5,"181478":5,"181572":3,"1823":2,"183734":2,"185107":3,"19":[1,3,5],"190":2,"190482":1,"190689":5,"192":[1,5],"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":[2,3,5,7,49],"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],"2019":10,"2021":[9,10],"2048":[2,3,5],"206879":2,"207204":5,"208":5,"2097152":1,"21":[3,5],"211174":5,"211821":3,"212868":4,"2141":1,"214186":4,"214963":2,"216187":2,"2176":3,"219":1,"22":[3,5],"220":[3,5],"23":[3,5],"2304":3,"232":5,"237674":3,"24":[3,5],"242":5,"242181":3,"242939":5,"243":5,"2432":3,"245":[3,5],"245405":5,"246765":5,"247":5,"248":5,"249":5,"25":[3,5,49],"252":5,"253":5,"254":5,"256":[1,2,3,5,11],"2560":[3,5],"257":5,"26":[3,5],"260":5,"260072":3,"260858":5,"260869":3,"261":5,"262":5,"262144":1,"265046":2,"2656":3,"267":5,"2688":3,"27":[3,5],"271186":5,"272":5,"275":5,"278512":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,"302750":5,"303995":5,"305746":3,"305878":3,"307":5,"3072":[3,5],"3076":1,"31":3,"310171":3,"311":5,"3125":3,"317":[5,7],"319081":3,"32":[3,5,11],"3200":3,"322318":5,"323369":5,"325":5,"326":5,"32768":1,"3281":3,"33":3,"3328":3,"333321":1,"333333":5,"33554432":1,"34":3,"341":[1,5],"34172":4,"3438":3,"3456":3,"347":5,"3477":3,"3516":3,"3555":3,"3584":[3,5],"36":3,"360017":2,"362445":1,"370931":3,"371":5,"3712":3,"3713":1,"371721":4,"372393":3,"372800":3,"373":5,"373605":3,"38":1,"380032":3,"380953":3,"382926":3,"384":[1,2,3],"3840":3,"384000":3,"384634":5,"385":5,"39":3,"3906":3,"390975":3,"393":5,"394084":5,"3968":3,"397770":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,"404":5,"406":2,"4062":3,"408716":4,"4096":[1,2,3,5],"41":[1,7],"411":5,"412":2,"412561":5,"413":2,"414":5,"415":2,"41576":4,"417":5,"4194304":1,"420":5,"42142":4,"423":5,"426":5,"427":5,"428372":4,"428568":1,"428801":3,"429770":1,"430545":3,"431":5,"431969":4,"433562":5,"439":5,"446516":3,"446623":3,"448255":1,"4492":3,"45":3,"450":5,"451983":3,"4531":3,"458":5,"46":3,"4608":5,"4609":3,"461070":3,"463":5,"464755":3,"467336":3,"4688":3,"469040":5,"472":1,"479":5,"483450":3,"484":[4,7],"485074":3,"485198":5,"492442":3,"4940":1,"495460":5,"4m":2,"4x":2,"5":[1,3,4,5,10,49],"500":5,"5000":3,"501302":5,"505546":3,"507":5,"507077":3,"507457":5,"509933":5,"51":3,"511":5,"511628":2,"512":[2,3,4,5],"5120":5,"52":3,"521127":3,"521884":3,"524288":1,"525614":5,"526831":3,"529":5,"530615":3,"5312":3,"534":5,"54":3,"540150":5,"541":4,"542":5,"544253":3,"545956":5,"546":2,"548":5,"551":5,"56":3,"5632":5,"563555":3,"564":5,"564106":5,"566038":2,"568431":4,"578525":3,"584279":3,"585":2,"5859":3,"586858":4,"588687":3,"5898":3,"597527":3,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"602666":3,"604870":5,"606":2,"6094":3,"614":[1,2],"6144":5,"615390":1,"62":3,"626369":5,"627833":3,"632545":3,"637071":5,"64":[1,3,5],"640":[2,3],"64kb":5,"652167":5,"654538":5,"655":2,"655159":5,"65536":[1,5],"655991":2,"656000":3,"656574":1,"66":3,"661056":5,"661740":2,"664":2,"6656":5,"665895":5,"665934":5,"67":3,"67086":4,"67108864":1,"6724":1,"673582":5,"674644":5,"676558":5,"68":3,"683593":5,"684218":5,"69":3,"6953":3,"698115":5,"7":[0,1,3,5,10],"70":3,"7031":3,"706":2,"7070":3,"707878":4,"71":3,"7168":5,"719258":4,"719986":5,"72":3,"722":[1,2],"73":3,"730667":3,"737435":1,"74":3,"743443":4,"7500":3,"750943":3,"751096":3,"754967":2,"76":[1,3],"760001":5,"765209":2,"767438":5,"768":[2,3],"7680":5,"768000":3,"773587":5,"775141":5,"78":3,"780":1,"781":2,"79":3,"790274":3,"791980":5,"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,"809270":3,"81":3,"811163":1,"811322":5,"812":1,"814":2,"814814":2,"815":2,"815384":5,"817432":4,"8192":[1,5],"82":3,"820505":5,"823517":[1,2],"825259":5,"83":3,"833":1,"834951":2,"838026":4,"8388608":1,"84":3,"842":1,"84284":4,"843":1,"843364":5,"845844":5,"847":1,"848":1,"849":1,"85":3,"850":1,"86":3,"87":3,"8704":5,"873965":2,"877538":3,"88":3,"8828":3,"8867":3,"888595":5,"888887":3,"89":3,"8906":3,"8945":3,"896":3,"899428":3,"899545":5,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"905938":3,"913776":2,"916513":5,"92":3,"9216":5,"921853":3,"9219":3,"922209":5,"929456":3,"93":2,"9375":3,"939124":5,"94":2,"945":[3,7],"9492":3,"95":[2,3],"952835":4,"9531":3,"959629":5,"959706":3,"96":[2,5],"965515":5,"9688":3,"97":2,"970":7,"970599":5,"9728":5,"9733":1,"978909":3,"98":[2,3,5],"9805":3,"981596":5,"983276":3,"98432":1,"9844":3,"987724":5,"999982":5,"999983":5,"999995":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":[2,3,9,10,12,25,44],"float":[2,9,10,49],"function":[1,2,3,4,5,10,11,12,13,14,48,49,50],"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":[1,2,3,4,5,12,15,16,17,18,19,20,23,25,27,29,32,33,34,35,36,37,38,45,46,47,49,50],"static":[0,9,10],"super":3,"switch":3,"true":[1,2,3,5,23,46],"try":[3,5,11],"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:[1,3,4,6,8,10,12,14],NOT:5,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:[1,4,6,9,10,12],_: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],ad:5,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],allow_tf32:23,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:[0,1,2,3,4,9,10,11,12,14,25,31,44,46,48],arang:[1,2,3,4,5],arbitrari:3,architectur:[3,9],area:10,arg:[1,2,3,5,11,13,14,48],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:[1,2,3,4],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:[3,11,12,16,17,18,19,20],begin:10,behavior:[10,12],being:[2,4],believ:10,below:[4,6,10],bench:[0,12],bench_layer_norm:5,benchmark:[0,5,49,50],benefit:[2,9,10],best:[1,9],between:[1,9],bfloat16:23,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:[1,3,10,11,14,35],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:[0,6],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:[0,5],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,constexpr:[1,2,3,4,5,34,35,36,37],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:[9,10,34,35,36,37],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:[0,6,10,46],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:[12,13],dictionari:[11,13],diesel:10,differ:[1,2,3,4,9,10,12,48],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:[0,2,3,4,6,9,10,47],each:[1,2,3,4,5,9,10,11,13],earli:12,early_config_prun:12,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,eg:12,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],except:5,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],extend:[3,4],extra:1,extras_requir:5,extrem:10,f:[1,2,3,10],facilit:[9,10],fact:10,fairli:3,fals:[5,25,42,44,46,48,49],far:2,fast:[2,5,9,10],faster:[2,35],fastest:10,featur:5,feel:3,fetch:9,few:10,field:[9,12],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:[0,5],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],has_apex:5,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:[0,4,5],i:[1,2,3,4,5,9,10],id:[3,33],idea:9,ideal:2,ident:2,identifi:1,idx:[25,44],ieee_round:42,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:[1,2,3,4,5,10,12,13,21,22,23,24,26,27,28,29,30,31,38,39,40,41,42,43,45],input_ptr:2,input_row_strid:2,instal:[6,8],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:[1,2,3,10,12],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:[11,14],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:[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:[1,9,10,12],modern:[3,8,9,10],modular:10,modulenotfounderror:5,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_round:[34,35,36,37],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:[2,3,5,11,12,16,18,19,20,25,44,48,49],nonzero:46,norm:[4,5,7],normal:[2,6,7],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:[3,11,12],num_warp:[2,3,5,11,12],number:[1,2,3,4,5,10,11,12,32,34,35,36,37],numel:[1,4,5],numer:[2,9],nvidia:[5,9,25],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:[3,12,25,44,48,49],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_model:12,perf_report:[1,2,3,5,48],perform:[1,2,4,9,10,12,16,17,18,19,20,49],persist:4,person:10,perspect:10,phase:10,philosophi:10,philox:[4,36],pid:[1,3,4,5],pid_m:3,pid_n:3,pip:[0,6],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],pre_hook:11,prealloc:1,predic:12,predict:10,prefer:2,premis:9,present:0,preserv:10,preserve_rng_st:4,prevent:[4,10],primer:10,primit:[9,14],principl:10,print:[1,3,4],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:[4,12],prune_configs_bi:12,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:[0,5],pytest:0,python:[1,2,3,4,5,6,14],pytorch:[1,2,4],qquad:10,r: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:[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:[0,5],sever:[9,10],shall:10,shape:[1,2,3,4,5,10,21,25,39,44,46,47],share:9,shaw:4,shift:2,should:[1,3,5,9,10,11,27,29,45,48],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:[1,2,3,4,5,10],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:[3,4,8,12,13],taken:10,target:9,techniqu:[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:[1,2,3,4,5,9,10,11,12,13,14,36,48],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,top_k:12,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],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,volatil:25,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":[1,2],"000002":2,"000009":5,"004273":1,"01":[1,3,7],"012175":5,"016170":5,"02":[2,7],"025776":3,"028308":3,"03":[3,7],"031570":5,"033077":3,"038365":2,"04":[4,7],"040360":3,"047592":3,"05":[5,7],"050910":5,"056329":5,"058574":2,"06":7,"0625":3,"069228":2,"069377":3,"08199":4,"08452":4,"084721":1,"089806":5,"0938":3,"094627":3,"097543":2,"097818":3,"0f":10,"0s":4,"1":[1,2,3,4,5,8,10,13,32,33,34,37],"10":[1,3,4,5,34,35,36,37],"100":[2,49],"1024":[1,3,4,5,12],"10240":5,"102553":5,"1045":3,"1048576":1,"106434":4,"10752":5,"108913":3,"11":[0,1,3,5],"110377":5,"111":[1,7],"111113":2,"111783":2,"112047":5,"11264":5,"1152":3,"11776":5,"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,"13":[1,3,5,7],"130429":5,"131072":1,"1328":3,"13312":5,"133347":2,"133354":5,"134":5,"134217728":1,"134737":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],"153":2,"1536":[3,5],"15360":5,"154":2,"155572":3,"157889":5,"15872":5,"16":[2,3,5,10,47],"160":2,"161":5,"162":2,"16384":1,"163950":2,"1664":3,"16777216":1,"168440":3,"17":[3,5],"170647":3,"172406":5,"172588":3,"17879":4,"1792":3,"179533":2,"18":[3,5],"180121":5,"181":5,"181478":5,"1823":2,"188":2,"19":[1,2,3,5,7],"190482":1,"190689":5,"192":[1,5],"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],"2019":10,"2021":[9,10],"2048":[2,3,5],"206879":2,"208":5,"2097152":1,"21":[3,5],"211174":5,"212868":4,"2141":1,"214186":4,"214963":2,"216187":2,"2176":3,"219":1,"22":[3,5],"220":[3,5],"222812":2,"23":[3,5],"2304":3,"232":5,"237674":3,"24":[3,5],"242":5,"242181":3,"242431":5,"242939":5,"243":5,"2432":3,"245":[3,5],"245405":5,"247":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,"26":[3,5],"260":5,"260072":3,"260201":5,"260858":5,"260869":3,"261":5,"262":5,"262144":1,"262953":3,"265046":2,"2656":3,"267":5,"2688":3,"27":[3,5],"271186":5,"272":5,"272719":5,"276800":3,"279":5,"28":[1,3,5],"280":5,"2812":3,"2816":3,"283019":3,"284":5,"285":5,"286":5,"287":5,"287041":5,"288":5,"289":5,"2891":3,"29":[3,5],"290":5,"291":5,"292":5,"293429":4,"294":5,"2944":3,"297107":5,"298541":2,"2d":[3,5,23],"2m":2,"2mn":2,"3":[0,1,2,3,4,5,10],"30":3,"303":5,"303995":5,"305746":3,"305878":3,"307":5,"3072":[3,5],"3076":1,"31":3,"310":5,"3125":3,"314":7,"317":5,"32":[3,5,11],"3200":3,"321193":3,"321838":2,"322318":5,"323343":5,"323369":5,"325":5,"326":5,"32768":1,"3281":3,"33":3,"3328":3,"333321":1,"333333":5,"33554432":1,"335577":3,"34":3,"341":[1,5],"34172":4,"3438":3,"3456":3,"347":5,"3477":3,"3516":3,"3555":3,"3584":[3,5],"36":3,"360017":2,"362445":1,"369354":3,"369790":3,"37":3,"370":5,"3712":3,"3713":1,"371721":4,"372800":3,"373":5,"38":[1,7],"380032":3,"380953":3,"381330":3,"382926":3,"384":[1,2,3],"3840":3,"384000":3,"384634":5,"385":5,"39":3,"3906":3,"393":5,"394084":5,"395283":3,"3968":3,"397479":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,"404":[5,7],"406":2,"4062":3,"407414":5,"408716":4,"4096":[1,2,3,5],"411":5,"412":2,"412561":5,"414":5,"415":2,"41576":4,"417":5,"419":5,"4194304":1,"419811":3,"420":5,"420235":3,"42142":4,"423":5,"426":5,"428372":4,"428568":1,"428801":3,"429770":1,"430545":3,"431":5,"431969":4,"433562":5,"438":5,"438120":3,"448255":1,"449":5,"4492":3,"45":3,"4531":3,"458":5,"458141":3,"46":3,"4608":5,"4609":3,"462":5,"465340":5,"4688":3,"468972":5,"469019":3,"469040":5,"472":1,"472468":5,"477":[4,7],"479":5,"485074":3,"49":3,"492442":3,"4940":1,"4m":2,"4x":2,"5":[1,3,4,5,10,49],"500":5,"5000":3,"500158":3,"501302":5,"504":5,"504980":5,"507":5,"507077":3,"507457":5,"508":5,"509933":5,"51":3,"512":[2,3,4,5],"5120":5,"512412":3,"52":3,"523":[3,7],"524288":1,"525614":5,"526763":5,"526831":3,"527060":5,"529":5,"530838":3,"5312":3,"531326":3,"534":5,"536784":5,"54":3,"541":4,"542":5,"545956":5,"546":[2,5],"551":5,"56":3,"5632":5,"563555":3,"564":5,"564106":5,"566038":2,"568431":4,"579370":3,"585":2,"5859":3,"586858":4,"5898":3,"594591":5,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"602017":3,"606":2,"607053":5,"608294":3,"6094":3,"612060":3,"614":[1,2],"6144":5,"615390":1,"62":3,"626369":5,"628636":3,"632545":3,"64":[1,3,5],"640":[2,3],"643199":3,"64kb":5,"655":2,"655159":5,"65536":[1,5],"656000":3,"656085":3,"656574":1,"66":3,"664":2,"6656":5,"665895":5,"665934":5,"667485":5,"667843":5,"67":3,"67086":4,"67108864":1,"6724":1,"673582":5,"676558":5,"68":3,"684218":5,"6953":3,"698415":3,"7":[0,1,3,5,10],"70":3,"7031":3,"706":2,"7070":3,"707878":4,"71":3,"7168":5,"719258":4,"719986":5,"72":3,"722":[1,2],"73":3,"730667":3,"737435":1,"743443":4,"7500":3,"751954":5,"754967":2,"759501":5,"76":[1,3],"767438":5,"768":[2,3],"7680":5,"768000":3,"77":3,"773587":5,"775141":5,"775181":5,"776119":3,"777595":3,"78":3,"780":1,"781":2,"782312":3,"79":3,"790220":5,"791980":5,"793096":5,"79719":4,"799":[2,7],"8":[1,2,3,5,10,11,12,47,49],"80":[3,49],"800002":1,"806694":4,"808501":5,"809875":3,"81":3,"811322":5,"812":1,"814":2,"814814":2,"815126":3,"817432":4,"8192":[1,5],"82":3,"820505":5,"823517":[1,2],"825259":5,"83":3,"833":1,"838026":4,"8388608":1,"84":3,"842":1,"84284":4,"843364":5,"845844":5,"847":1,"848":1,"849":1,"849303":3,"85":3,"850":1,"854847":2,"857162":5,"87":3,"8704":5,"874218":5,"877538":3,"88":3,"8828":3,"8867":3,"888756":3,"888887":3,"89":3,"8906":3,"8945":3,"896":3,"899545":5,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"906750":1,"908642":3,"91":3,"913333":5,"916513":5,"916747":3,"92":3,"9216":5,"9219":3,"929456":3,"93":2,"932191":3,"9375":3,"94":[2,3],"9492":3,"95":[2,3],"952835":4,"9531":3,"96":[2,3,5],"965515":5,"967162":3,"9688":3,"97":2,"970176":3,"971025":3,"971190":2,"9728":5,"9733":1,"978909":3,"98":[2,5],"9805":3,"981596":5,"98432":1,"9844":3,"986315":5,"987724":5,"999983":5,"999995":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":[2,3,9,10,12,25,44],"float":[2,9,10,49],"function":[1,2,3,4,5,10,11,12,13,14,48,49,50],"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":[1,2,3,4,5,12,15,16,17,18,19,20,23,25,27,29,32,33,34,35,36,37,38,45,46,47,49,50],"static":[0,9,10],"super":3,"switch":3,"true":[1,2,3,5,23,46],"try":[3,5,11],"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:[1,3,4,6,8,10,12,14],NOT:5,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:[1,4,6,9,10,12],_: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],ad:5,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],allow_tf32:23,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:[0,1,2,3,4,9,10,11,12,14,25,31,44,46,48],arang:[1,2,3,4,5],arbitrari:3,architectur:[3,9],area:10,arg:[1,2,3,5,11,13,14,48],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:[1,2,3,4],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:[3,11,12,16,17,18,19,20],begin:10,behavior:[10,12],being:[2,4],believ:10,below:[4,6,10],bench:[0,12],bench_layer_norm:5,benchmark:[0,5,49,50],benefit:[2,9,10],best:[1,9],between:[1,9],bfloat16:23,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:[1,3,10,11,14,35],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:[0,6],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:[0,5],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,constexpr:[1,2,3,4,5,34,35,36,37],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:[9,10,34,35,36,37],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:[0,6,10,46],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:[12,13],dictionari:[11,13],diesel:10,differ:[1,2,3,4,9,10,12,48],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:[0,2,3,4,6,9,10,47],each:[1,2,3,4,5,9,10,11,13],earli:12,early_config_prun:12,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,eg:12,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],except:5,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],extend:[3,4],extra:1,extras_requir:5,extrem:10,f:[1,2,3,10],facilit:[9,10],fact:10,fairli:3,fals:[5,25,42,44,46,48,49],far:2,fast:[2,5,9,10],faster:[2,35],fastest:10,featur:5,feel:3,fetch:9,few:10,field:[9,12],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:[0,5],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],has_apex:5,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:[0,4,5],i:[1,2,3,4,5,9,10],id:[3,33],idea:9,ideal:2,ident:2,identifi:1,idx:[25,44],ieee_round:42,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:[1,2,3,4,5,10,12,13,21,22,23,24,26,27,28,29,30,31,38,39,40,41,42,43,45],input_ptr:2,input_row_strid:2,instal:[6,8],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:[1,2,3,10,12],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:[11,14],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:[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:[1,9,10,12],modern:[3,8,9,10],modular:10,modulenotfounderror:5,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_round:[34,35,36,37],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:[2,3,5,11,12,16,18,19,20,25,44,48,49],nonzero:46,norm:[4,5,7],normal:[2,6,7],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:[3,11,12],num_warp:[2,3,5,11,12],number:[1,2,3,4,5,10,11,12,32,34,35,36,37],numel:[1,4,5],numer:[2,9],nvidia:[5,9,25],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:[3,12,25,44,48,49],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_model:12,perf_report:[1,2,3,5,48],perform:[1,2,4,9,10,12,16,17,18,19,20,49],persist:4,person:10,perspect:10,phase:10,philosophi:10,philox:[4,36],pid:[1,3,4,5],pid_m:3,pid_n:3,pip:[0,6],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],pre_hook:11,prealloc:1,predic:12,predict:10,prefer:2,premis:9,present:0,preserv:10,preserve_rng_st:4,prevent:[4,10],primer:10,primit:[9,14],principl:10,print:[1,3,4],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:[4,12],prune_configs_bi:12,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:[0,5],pytest:0,python:[1,2,3,4,5,6,14],pytorch:[1,2,4],qquad:10,r: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:[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:[0,5],sever:[9,10],shall:10,shape:[1,2,3,4,5,10,21,25,39,44,46,47],share:9,shaw:4,shift:2,should:[1,3,5,9,10,11,27,29,45,48],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:[1,2,3,4,5,10],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:[3,4,8,12,13],taken:10,target:9,techniqu:[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:[1,2,3,4,5,9,10,11,12,13,14,36,48],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,top_k:12,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],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,volatil:25,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
diff --git a/v1.1.2/.buildinfo b/v1.1.2/.buildinfo
index 320047da5..c041b7033 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: 03409dc47225f6d13304842a651eaf7f
+config: e279bcfffe02d90b014352649d6f6a29
 tags: 645f666f9bcd5a90fca523b33c5a78b7
diff --git a/v1.1.2/.doctrees/environment.pickle b/v1.1.2/.doctrees/environment.pickle
index ddc97f0ed..103bc7aea 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 b485f4021..c03468df4 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 f9d7a64fa..76ca1fbbf 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 9171db941..8fb971c86 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 abd994dc7..66321ff7e 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 e16dff628..64c880a10 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 15bd90dc1..34a0fb3ed 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 652b791ec..a5ae7400c 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 189864f57..48c033264 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 f728d19e6..46b63f3f5 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 fbb19439b..ee22292a8 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 c81eb92ef..8783cbb3d 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 1ad58cd98..86377e133 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 6d6a3c48b..1accf1c37 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 622c746a0..d4cc0cacf 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 5009deae3..3a9872989 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 6ca0fe528..71a6ba793 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 14d054502..1a9f2dc37 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 b02087510..5f46da761 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 6e726b9f1..a49d58e57 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 b898882b0..76a8c74a2 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 4f02012c9..569600a43 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 348e8fad2..bd113fcc3 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 4c224732b..94ebab941 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 cf1955255..f65d1c7f3 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 5875f484c..24523ebb7 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 ee8fa6b96..a544c425b 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 76e208d1f..b4a155cc1 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 b809410f0..14db2a98f 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 4ef597229..54a487255 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 9781f0b01..bbcca5d54 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 255fcbfb7..ff2c21fb3 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 46495f483..eae9f43eb 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 1e4f51a6c..5c0471fce 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 01958fdb1..fb70e68fc 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 1a74318d4..9affd4649 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 85d65c4f9..4b3ac9ec7 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 61820131b..ffeb4868f 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 c9c81e3a1..0405c298d 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 4e08b1af8..8502add51 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 11277b52e..ea7778643 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 48d6fd2b2..72dbee1ac 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 062018ffd..2f9d966ad 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 0af61c1b7..d2767e8f3 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 32b0ae76e..35af90d10 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 01c3891a0..ccd6c8b80 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 d75e61ca6..723af346a 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 9bd91e331..ac28a787f 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 43d8cdc53..53a50b822 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 aee6b35b0..971b65c66 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 f03c2c82d..128a03d46 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 1ab0753a3..2eac81fc8 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 d4f1c0d17..1c877e647 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 fe611941d..2648acae7 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 728e062ab..fbbb68d71 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 af8cd8008..f81cf2de3 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 5fdbaa73e..a259dea4e 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 b82701c16..235ed5373 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 c32eb6ac0..cc7bece6e 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 16342940f..c12e60d22 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 d2ce77cc2..561b39fe3 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 8f9b324b3..f887c9dd4 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 1d0d0af8a..804262223 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 7834dc7e3..8547c2ee2 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 d2120ba3e..49027ade6 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 ea19fbe04..8eb86ff89 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
@@ -233,8 +233,8 @@ 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   31.999999   31.999999
-    3       32768.0   63.999998   76.800002
+    2       16384.0   38.400001   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
@@ -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  46.424 seconds)
+   **Total running time of the script:** ( 1 minutes  44.783 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 03c723f78..ad0a20e47 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   188.321838
-    1     384.0  614.400016      585.142862   153.600004
-    2     512.0  655.360017      606.814814   156.038096
+    0     256.0  512.000001      546.133347   186.181817
+    1     384.0  585.142862      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   199.140227
-    94  12288.0  814.111783      415.222812   199.399583
-    95  12416.0  812.498981      412.149375   198.954424
-    96  12544.0  812.566838      412.971190   199.209928
-    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   198.794749
+    95  12416.0  812.498981      412.149375   198.407990
+    96  12544.0  812.566838      412.971190   198.618504
+    97  12672.0  812.633240      411.679167   198.679085
 
     [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  24.515 seconds)
+   **Total running time of the script:** ( 3 minutes  22.789 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 d1cd4efc6..f3be899f1 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
@@ -462,7 +462,7 @@ 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   2.978909  ...   3.276800              3.276800
+    0    256.0   2.730667  ...   3.276800              2.978909
     1    384.0   7.372800  ...   8.507077              8.507077
     2    512.0  14.563555  ...  16.384000             16.384000
     3    640.0  22.260869  ...  24.380953             24.380953
@@ -470,29 +470,29 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
     5    896.0  39.025776  ...  40.140799             39.025776
     6   1024.0  51.150050  ...  53.773130             52.428801
     7   1152.0  45.242181  ...  46.656000             46.656000
-    8   1280.0  51.200001  ...  56.888887             56.888887
+    8   1280.0  51.200001  ...  56.888887             56.109587
     9   1408.0  64.138541  ...  67.305878             67.305878
     10  1536.0  80.430545  ...  79.526831             79.526831
-    11  1664.0  62.929456  ...  62.492442             62.061463
-    12  1792.0  72.512412  ...  72.512412             71.588687
-    13  1920.0  69.467336  ...  70.172588             70.172588
-    14  2048.0  73.908442  ...  76.608294             76.959706
-    15  2176.0  83.500614  ...  86.367588             85.269692
-    16  2304.0  68.251065  ...  76.563695             76.563695
-    17  2432.0  71.487187  ...  84.367759             84.367759
-    18  2560.0  78.019048  ...  81.310171             81.108913
-    19  2688.0  83.369354  ...  89.888756             89.676257
-    20  2816.0  83.392363  ...  83.074685             82.602666
-    21  2944.0  81.967162  ...  78.174165             82.921853
-    22  3072.0  82.540970  ...  88.612060             88.473602
-    23  3200.0  84.600132  ...  95.665176             95.096582
-    24  3328.0  83.130825  ...  81.438120             83.808259
-    25  3456.0  81.849303  ...  90.586029             91.200871
-    26  3584.0  86.665439  ...  90.459560             94.448944
-    27  3712.0  85.528545  ...  87.246590             88.758185
-    28  3840.0  84.940091  ...  91.663490             84.228485
-    29  3968.0  92.302520  ...  83.921126             90.623049
-    30  4096.0  87.666706  ...  84.838860             91.491294
+    11  1664.0  62.929456  ...  62.929456             62.061463
+    12  1792.0  72.983276  ...  72.512412             72.047592
+    13  1920.0  69.120002  ...  70.172588             70.172588
+    14  2048.0  73.584279  ...  76.608294             76.959706
+    15  2176.0  83.500614  ...  85.998493             85.632545
+    16  2304.0  68.446623  ...  76.809875             76.563695
+    17  2432.0  71.305746  ...  84.115159             84.115159
+    18  2560.0  78.019048  ...  81.310171             80.908642
+    19  2688.0  83.461070  ...  89.464755             89.044730
+    20  2816.0  80.617762  ...  83.552120             82.135981
+    21  2944.0  81.166173  ...  82.441740             82.373605
+    22  3072.0  82.661468  ...  88.612060             88.473602
+    23  3200.0  84.656085  ...  95.238096             94.955488
+    24  3328.0  83.226931  ...  84.695641             84.496824
+    25  3456.0  79.430113  ...  84.244062             87.823058
+    26  3584.0  87.211821  ...  98.375705             98.268190
+    27  3712.0  81.682211  ...  88.718781             84.982854
+    28  3840.0  84.356981  ...  89.693434             87.424508
+    29  3968.0  85.991011  ...  90.656713             86.849777
+    30  4096.0  93.271527  ...  91.867031             88.243079
 
     [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  26.730 seconds)
+   **Total running time of the script:** ( 5 minutes  27.998 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 251c63d39..a2d65b68c 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  311.088617   98.303995  307.200008
+    0    1024.0  307.200008   98.303995  303.407414
     1    1536.0  351.085717  134.540150  341.333333
-    2    2048.0  423.724127  161.684218  325.509933
-    3    2560.0  465.454542  181.238943  326.808501
-    4    3072.0  515.580429  192.501302  317.793096
+    2    2048.0  420.102553  161.684218  325.509933
+    3    2560.0  461.954908  181.238943  326.808501
+    4    3072.0  511.999982  191.999993  317.793096
     5    3584.0  551.384634  208.271186  311.652167
     6    4096.0  568.231237  220.412561  295.207204
-    7    4608.0  500.416301  232.825259  291.031570
-    8    5120.0  527.381977  242.845844  287.775181
-    9    5632.0  542.843364  243.545956  289.438969
-    10   6144.0  544.118087  248.661056  286.322318
-    11   6656.0  532.479975  256.000009  286.279570
+    7    4608.0  500.416301  232.825259  292.571431
+    8    5120.0  525.128191  242.845844  288.450695
+    9    5632.0  540.671974  243.107920  289.438969
+    10   6144.0  542.117638  248.661056  286.879370
+    11   6656.0  530.710976  256.000009  285.767438
     12   7168.0  505.976473  260.654538  286.242939
-    13   7680.0  481.253256  262.564106  279.272719
-    14   8192.0  463.698115  267.130429  284.526763
-    15   8704.0  417.791980  267.472468  284.987724
-    16   9216.0  430.319054  272.394084  288.751954
-    17   9728.0  438.857162  280.278512  289.667485
-    18  10240.0  447.650282  286.433562  290.153487
-    19  10752.0  428.651173  247.172406  290.922209
+    13   7680.0  481.253256  262.190612  278.429013
+    14   8192.0  463.698115  267.130429  284.939124
+    15   8704.0  416.958106  267.472468  284.599455
+    16   9216.0  429.483477  272.394084  288.751954
+    17   9728.0  438.033784  280.278512  289.667485
+    18  10240.0  447.650282  286.433562  289.811322
+    19  10752.0  428.651173  246.935876  290.922209
     20  11264.0  429.104745  245.760001  286.676558
-    21  11776.0  423.724129  249.888595  288.981596
-    22  12288.0  420.102570  254.673582  294.323369
-    23  12800.0  414.574901  253.674644  288.180121
-    24  13312.0  412.775186  252.959629  289.916513
-    25  13824.0  406.090579  257.290415  292.056329
-    26  14336.0  395.930964  254.485198  286.959121
-    27  14848.0  386.498925  257.665934  289.481735
-    28  15360.0  373.495460  257.970599  286.211174
-    29  15872.0  370.192407  261.626369  290.120338
+    21  11776.0  423.089806  249.667843  288.686414
+    22  12288.0  420.102570  254.453844  294.323369
+    23  12800.0  414.574901  253.465340  288.180121
+    24  13312.0  412.242569  252.959629  289.916513
+    25  13824.0  406.090579  257.390218  291.799461
+    26  14336.0  396.387109  254.297107  286.959121
+    27  14848.0  386.918555  257.479779  289.246765
+    28  15360.0  373.495460  257.970599  285.989131
+    29  15872.0  370.192407  261.626369  289.899545
 
 
 
@@ -329,7 +329,7 @@ Layer Normalization
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 2 minutes  13.353 seconds)
+   **Total running time of the script:** ( 2 minutes  13.732 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 cb08bfe2e..a6c6214b5 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
 =================
-**12:51.033** total execution time for **getting-started_tutorials** files:
+**12:49.314** total execution time for **getting-started_tutorials** files:
 
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 05:26.730 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 05:27.998 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:24.515 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 03:22.789 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 02:13.353 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_05-layer-norm.py` (``05-layer-norm.py``)                       | 02:13.732 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:46.424 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 01:44.783 | 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 1cde66204..7e07d3a89 100644
--- a/v1.1.2/getting-started/tutorials/01-vector-add.html
+++ b/v1.1.2/getting-started/tutorials/01-vector-add.html
@@ -323,8 +323,8 @@ 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   31.999999   31.999999
-3       32768.0   63.999998   76.800002
+2       16384.0   38.400001   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
@@ -339,7 +339,7 @@ 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  46.424 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  44.783 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 22408cadf..95b286e00 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   188.321838
-1     384.0  614.400016      585.142862   153.600004
-2     512.0  655.360017      606.814814   156.038096
+0     256.0  512.000001      546.133347   186.181817
+1     384.0  585.142862      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   199.140227
-94  12288.0  814.111783      415.222812   199.399583
-95  12416.0  812.498981      412.149375   198.954424
-96  12544.0  812.566838      412.971190   199.209928
-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   198.794749
+95  12416.0  812.498981      412.149375   198.407990
+96  12544.0  812.566838      412.971190   198.618504
+97  12672.0  812.633240      411.679167   198.679085
 
 [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  24.515 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 3 minutes  22.789 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 cbc9df756..d16ca65b2 100644
--- a/v1.1.2/getting-started/tutorials/03-matrix-multiplication.html
+++ b/v1.1.2/getting-started/tutorials/03-matrix-multiplication.html
@@ -568,7 +568,7 @@ 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   2.978909  ...   3.276800              3.276800
+0    256.0   2.730667  ...   3.276800              2.978909
 1    384.0   7.372800  ...   8.507077              8.507077
 2    512.0  14.563555  ...  16.384000             16.384000
 3    640.0  22.260869  ...  24.380953             24.380953
@@ -576,34 +576,34 @@ torch_output=tensor([[  1.1045, -36.9688,  31.4688,  ..., -11.3906,  24.4531, -3
 5    896.0  39.025776  ...  40.140799             39.025776
 6   1024.0  51.150050  ...  53.773130             52.428801
 7   1152.0  45.242181  ...  46.656000             46.656000
-8   1280.0  51.200001  ...  56.888887             56.888887
+8   1280.0  51.200001  ...  56.888887             56.109587
 9   1408.0  64.138541  ...  67.305878             67.305878
 10  1536.0  80.430545  ...  79.526831             79.526831
-11  1664.0  62.929456  ...  62.492442             62.061463
-12  1792.0  72.512412  ...  72.512412             71.588687
-13  1920.0  69.467336  ...  70.172588             70.172588
-14  2048.0  73.908442  ...  76.608294             76.959706
-15  2176.0  83.500614  ...  86.367588             85.269692
-16  2304.0  68.251065  ...  76.563695             76.563695
-17  2432.0  71.487187  ...  84.367759             84.367759
-18  2560.0  78.019048  ...  81.310171             81.108913
-19  2688.0  83.369354  ...  89.888756             89.676257
-20  2816.0  83.392363  ...  83.074685             82.602666
-21  2944.0  81.967162  ...  78.174165             82.921853
-22  3072.0  82.540970  ...  88.612060             88.473602
-23  3200.0  84.600132  ...  95.665176             95.096582
-24  3328.0  83.130825  ...  81.438120             83.808259
-25  3456.0  81.849303  ...  90.586029             91.200871
-26  3584.0  86.665439  ...  90.459560             94.448944
-27  3712.0  85.528545  ...  87.246590             88.758185
-28  3840.0  84.940091  ...  91.663490             84.228485
-29  3968.0  92.302520  ...  83.921126             90.623049
-30  4096.0  87.666706  ...  84.838860             91.491294
+11  1664.0  62.929456  ...  62.929456             62.061463
+12  1792.0  72.983276  ...  72.512412             72.047592
+13  1920.0  69.120002  ...  70.172588             70.172588
+14  2048.0  73.584279  ...  76.608294             76.959706
+15  2176.0  83.500614  ...  85.998493             85.632545
+16  2304.0  68.446623  ...  76.809875             76.563695
+17  2432.0  71.305746  ...  84.115159             84.115159
+18  2560.0  78.019048  ...  81.310171             80.908642
+19  2688.0  83.461070  ...  89.464755             89.044730
+20  2816.0  80.617762  ...  83.552120             82.135981
+21  2944.0  81.166173  ...  82.441740             82.373605
+22  3072.0  82.661468  ...  88.612060             88.473602
+23  3200.0  84.656085  ...  95.238096             94.955488
+24  3328.0  83.226931  ...  84.695641             84.496824
+25  3456.0  79.430113  ...  84.244062             87.823058
+26  3584.0  87.211821  ...  98.375705             98.268190
+27  3712.0  81.682211  ...  88.718781             84.982854
+28  3840.0  84.356981  ...  89.693434             87.424508
+29  3968.0  85.991011  ...  90.656713             86.849777
+30  4096.0  93.271527  ...  91.867031             88.243079
 
 [31 rows x 5 columns]
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 5 minutes  26.730 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 5 minutes  27.998 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 6c0d22dcd..2786473ee 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  311.088617   98.303995  307.200008
+0    1024.0  307.200008   98.303995  303.407414
 1    1536.0  351.085717  134.540150  341.333333
-2    2048.0  423.724127  161.684218  325.509933
-3    2560.0  465.454542  181.238943  326.808501
-4    3072.0  515.580429  192.501302  317.793096
+2    2048.0  420.102553  161.684218  325.509933
+3    2560.0  461.954908  181.238943  326.808501
+4    3072.0  511.999982  191.999993  317.793096
 5    3584.0  551.384634  208.271186  311.652167
 6    4096.0  568.231237  220.412561  295.207204
-7    4608.0  500.416301  232.825259  291.031570
-8    5120.0  527.381977  242.845844  287.775181
-9    5632.0  542.843364  243.545956  289.438969
-10   6144.0  544.118087  248.661056  286.322318
-11   6656.0  532.479975  256.000009  286.279570
+7    4608.0  500.416301  232.825259  292.571431
+8    5120.0  525.128191  242.845844  288.450695
+9    5632.0  540.671974  243.107920  289.438969
+10   6144.0  542.117638  248.661056  286.879370
+11   6656.0  530.710976  256.000009  285.767438
 12   7168.0  505.976473  260.654538  286.242939
-13   7680.0  481.253256  262.564106  279.272719
-14   8192.0  463.698115  267.130429  284.526763
-15   8704.0  417.791980  267.472468  284.987724
-16   9216.0  430.319054  272.394084  288.751954
-17   9728.0  438.857162  280.278512  289.667485
-18  10240.0  447.650282  286.433562  290.153487
-19  10752.0  428.651173  247.172406  290.922209
+13   7680.0  481.253256  262.190612  278.429013
+14   8192.0  463.698115  267.130429  284.939124
+15   8704.0  416.958106  267.472468  284.599455
+16   9216.0  429.483477  272.394084  288.751954
+17   9728.0  438.033784  280.278512  289.667485
+18  10240.0  447.650282  286.433562  289.811322
+19  10752.0  428.651173  246.935876  290.922209
 20  11264.0  429.104745  245.760001  286.676558
-21  11776.0  423.724129  249.888595  288.981596
-22  12288.0  420.102570  254.673582  294.323369
-23  12800.0  414.574901  253.674644  288.180121
-24  13312.0  412.775186  252.959629  289.916513
-25  13824.0  406.090579  257.290415  292.056329
-26  14336.0  395.930964  254.485198  286.959121
-27  14848.0  386.498925  257.665934  289.481735
-28  15360.0  373.495460  257.970599  286.211174
-29  15872.0  370.192407  261.626369  290.120338
+21  11776.0  423.089806  249.667843  288.686414
+22  12288.0  420.102570  254.453844  294.323369
+23  12800.0  414.574901  253.465340  288.180121
+24  13312.0  412.242569  252.959629  289.916513
+25  13824.0  406.090579  257.390218  291.799461
+26  14336.0  396.387109  254.297107  286.959121
+27  14848.0  386.918555  257.479779  289.246765
+28  15360.0  373.495460  257.970599  285.989131
+29  15872.0  370.192407  261.626369  289.899545
 </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  13.353 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 2 minutes  13.732 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 4dd2d44a6..34fa632d9 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>12:51.033</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
+<p><strong>12:49.314</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>05:26.730</p></td>
+<td><p>05:27.998</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>03:24.515</p></td>
+<td><p>03:22.789</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>02:13.353</p></td>
+<td><p>02:13.732</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>01:46.424</p></td>
+<td><p>01:44.783</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 becd9507b..259ead02f 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,"01":[1,3,7],"011":[4,7],"019048":3,"02":[2,7],"025776":3,"028308":3,"03":[3,7],"031570":5,"033":7,"038096":2,"04":[4,7],"05":[5,7],"056329":5,"058574":2,"061463":3,"0625":3,"074685":3,"08199":4,"08452":4,"084721":1,"085717":5,"088617":5,"090579":5,"0938":3,"096582":3,"097543":2,"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],"1024":[1,3,4,5,12],"10240":5,"102570":5,"1045":3,"104745":5,"1048576":1,"106434":4,"10752":5,"108913":3,"11":[0,1,3,5],"111783":2,"11264":5,"1152":3,"11776":5,"118087":5,"12":[1,3,5,7],"120338":5,"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,"13":[1,3,5,7],"130429":5,"130825":3,"131072":1,"1328":3,"13312":5,"133347":2,"134":5,"134217728":1,"13686":4,"13824":5,"138541":3,"14":[1,3,5],"140227":2,"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,"156":2,"15872":5,"16":[2,3,5,10,47],"160":2,"161":5,"162":2,"16384":1,"1664":3,"16777216":1,"17":[3,5],"172406":5,"172588":3,"174165":3,"17879":4,"1792":3,"179533":2,"18":[3,5],"180121":5,"181":5,"1823":2,"188":2,"19":[1,3,5],"190482":1,"192":[1,5],"1920":3,"192407":5,"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,"200871":3,"2011":4,"2012":10,"2013":9,"2014":[4,9],"2016":[9,10],"2017":9,"2018":[9,10],"2019":10,"2021":[9,10],"2048":[2,3,5],"207204":5,"208":5,"2097152":1,"209928":2,"21":[3,5],"211174":5,"212868":4,"2141":1,"214186":4,"216187":2,"2176":3,"219":1,"22":[3,5],"220":[3,5],"222812":2,"228485":3,"23":[3,5],"2304":3,"231237":5,"232":5,"238943":5,"24":[2,3,5,7],"242":5,"242181":3,"242939":5,"243":5,"2432":3,"245":[3,5],"246590":3,"247":5,"248":5,"249":5,"25":[3,5,49],"251065":3,"252":5,"253":5,"253256":5,"254":5,"256":[1,2,3,5,11],"2560":[3,5],"257":5,"26":[3,5,7],"260":5,"260869":3,"261":5,"262":5,"262144":1,"264875":2,"2656":3,"267":5,"2688":3,"269692":3,"27":[3,5],"271186":5,"272":5,"272719":5,"276800":3,"278512":5,"279":5,"279570":5,"28":[1,3,5],"280":5,"2812":3,"2816":3,"284":5,"286":5,"287":5,"288":5,"289":5,"2891":3,"29":[3,5],"290":5,"290415":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,"302520":3,"303995":5,"305878":3,"307":5,"3072":[3,5],"3076":1,"31":[1,3],"310171":3,"311":5,"3125":3,"317":5,"319054":5,"32":[3,5,11],"3200":3,"321838":2,"322318":5,"323369":5,"325":5,"326":5,"32768":1,"3281":3,"33":3,"3328":3,"333321":1,"333333":5,"33554432":1,"34":3,"341":[1,5],"34172":4,"3438":3,"3456":3,"3477":3,"351":5,"3516":3,"353":[5,7],"3555":3,"3584":[3,5],"36":3,"360017":2,"362445":1,"367588":3,"367759":3,"369354":3,"370":5,"3712":3,"3713":1,"371721":4,"372800":3,"373":5,"380953":3,"381977":5,"384":[1,2,3],"3840":3,"384000":3,"384634":5,"386":5,"39":3,"3906":3,"392363":3,"394084":5,"395":5,"3968":3,"3984":3,"3986":4,"399583":2,"3d":[32,33],"3mn":2,"4":[1,2,3,5,10,11,12,35],"40":3,"400016":[1,2],"4023":3,"403344":4,"403347":4,"406":[2,5],"4062":3,"408716":4,"4096":[1,2,3,5],"412":[2,5],"412561":5,"414":5,"415":2,"41576":4,"416301":5,"417":5,"4194304":1,"420":5,"42142":4,"423":5,"424":[1,7],"428":5,"428372":4,"428568":1,"428801":3,"429":5,"429770":1,"430":5,"430545":3,"431969":4,"433562":5,"438":5,"438120":3,"438969":5,"447":5,"448255":1,"448944":3,"4492":3,"45":3,"4531":3,"454542":5,"459560":3,"46":[1,3,7],"4608":5,"4609":3,"463":5,"465":5,"467336":3,"4688":3,"472":1,"472468":5,"473602":3,"479975":5,"481":5,"481735":5,"485198":5,"487187":3,"491294":3,"492442":3,"4940":1,"495460":5,"498925":5,"498981":2,"4m":2,"4x":2,"5":[1,3,4,5,10,49],"500":5,"5000":3,"500614":3,"501302":5,"505":5,"507077":3,"509933":5,"51":[3,7],"512":[2,3,4,5],"5120":5,"512412":3,"515":[2,5,7],"52":3,"524288":1,"526763":5,"526831":3,"527":5,"528545":3,"53":3,"5312":3,"532":5,"54":3,"540150":5,"540970":3,"541":4,"542":5,"544":5,"545956":5,"546":2,"551":5,"56":3,"5632":5,"563555":3,"563695":3,"564106":5,"566838":2,"568":5,"568431":4,"574901":5,"580429":5,"585":2,"5859":3,"586029":3,"586858":4,"588687":3,"5898":3,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"600132":3,"602666":3,"606":2,"608294":3,"6094":3,"612060":3,"614":[1,2],"6144":5,"615390":1,"62":3,"623049":3,"626369":5,"63":1,"633240":2,"64":[1,3,5],"640":[2,3],"64kb":5,"650282":5,"651173":5,"652167":5,"654538":5,"655":2,"65536":[1,5],"656000":3,"656574":1,"661056":5,"663490":3,"664":2,"665176":3,"665439":3,"6656":5,"665934":5,"666684":2,"666706":3,"667485":5,"67":3,"67086":4,"67108864":1,"6724":1,"673582":5,"674644":5,"676257":3,"676558":5,"68":3,"682":2,"684218":5,"69":3,"6953":3,"698115":5,"7":[0,1,3,5,10],"70":3,"7031":3,"7070":3,"707878":4,"71":3,"7168":5,"719258":4,"72":3,"722":[1,2],"724127":5,"724129":5,"73":3,"730":[3,7],"737435":1,"743443":4,"7500":3,"751954":5,"754967":2,"758185":3,"76":[1,3],"760001":5,"768":[2,3],"7680":5,"768000":3,"773130":3,"775181":5,"775186":5,"78":3,"780":1,"781":2,"79":3,"791980":5,"793096":5,"79719":4,"8":[1,2,3,5,10,11,12,47,49],"80":[3,49],"800002":1,"806694":4,"808259":3,"808501":5,"81":3,"811163":1,"812":[1,2],"814":2,"814814":2,"817432":4,"8192":[1,5],"82":3,"823517":[1,2],"825259":5,"83":3,"833":1,"838026":4,"838860":3,"8388608":1,"84":3,"842":1,"84284":4,"843":1,"843364":5,"845844":5,"847":1,"848":1,"849":1,"849303":3,"85":3,"850":1,"857162":5,"86":3,"87":3,"8704":5,"88":3,"8828":3,"8867":3,"888595":5,"888756":3,"888887":3,"89":3,"8906":3,"8945":3,"896":3,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"908442":3,"91":3,"916513":5,"92":3,"921126":3,"9216":5,"921853":3,"9219":3,"922209":5,"929456":3,"93":2,"930964":5,"9375":3,"94":[2,3],"940091":3,"9492":3,"95":[2,3],"952835":4,"9531":3,"954424":2,"959121":5,"959629":5,"959706":3,"96":[2,5],"967162":3,"9688":3,"97":2,"970599":5,"971190":2,"9728":5,"9733":1,"976473":5,"978909":3,"98":[2,5],"9805":3,"981596":5,"98432":1,"9844":3,"987724":5,"999995":1,"999998":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
+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,"01":[1,3,7],"011":[4,7],"019048":3,"02":[2,7],"025776":3,"028308":3,"03":[3,7],"033784":5,"04":[4,7],"044730":3,"047592":3,"05":[5,7],"058574":2,"061463":3,"0625":3,"08199":4,"08452":4,"084721":1,"085717":5,"089806":5,"090579":5,"0938":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],"1024":[1,3,4,5,12],"10240":5,"102553":5,"102570":5,"1045":3,"104745":5,"1048576":1,"106434":4,"10752":5,"107920":5,"109587":3,"11":[0,1,3,5],"111783":2,"11264":5,"115159":3,"1152":3,"117638":5,"11776":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":[1,3,5,7],"130429":5,"131072":1,"1328":3,"13312":5,"133347":2,"134":5,"134217728":1,"135981":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,"1536":[3,5],"15360":5,"154":2,"15872":5,"16":[2,3,5,10,47],"160":2,"161":5,"162":2,"16384":1,"166173":3,"1664":3,"16777216":1,"17":[3,5],"172588":3,"17879":4,"1792":3,"179533":2,"18":[3,5],"180121":5,"181":5,"181817":2,"1823":2,"186":2,"19":[1,3,5],"190482":1,"190612":5,"191":5,"192":1,"1920":3,"192407":5,"198":2,"1982":10,"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,"200008":5,"2004":10,"2006":10,"2011":4,"2012":10,"2013":9,"2014":[4,9],"2016":[9,10],"2017":9,"2018":[9,10],"2019":10,"2021":[9,10],"2048":[2,3,5],"207204":5,"208":5,"2097152":1,"21":[3,5],"211821":3,"212868":4,"2141":1,"214186":4,"216187":2,"2176":3,"219":1,"22":[2,3,5,7],"220":[3,5],"226931":3,"23":[3,5],"2304":3,"231237":5,"232":5,"238096":3,"238943":5,"24":[3,5],"242":5,"242181":3,"242569":5,"242939":5,"243":5,"243079":3,"2432":3,"244062":3,"245":[3,5],"246":5,"246765":5,"248":5,"249":5,"25":[3,5,49],"252":5,"253":5,"253256":5,"254":5,"256":[1,2,3,5,11],"2560":[3,5],"257":5,"26":[3,5],"260":5,"260869":3,"261":5,"262":5,"262144":1,"2656":3,"267":5,"268190":3,"2688":3,"27":[3,5,7],"271186":5,"271527":3,"272":5,"276800":3,"278":5,"278512":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,"297107":5,"2d":[3,5,23],"2m":2,"2mn":2,"3":[0,1,2,3,4,5,10],"30":3,"303":5,"303995":5,"305746":3,"305878":3,"307":5,"3072":[3,5],"3076":1,"31":3,"310171":3,"311":5,"3125":3,"314":7,"317":5,"32":[3,5,11],"3200":3,"323369":5,"325":5,"326":5,"32768":1,"3281":3,"33":3,"3328":3,"333321":1,"333333":5,"33554432":1,"34":3,"341":[1,5],"34172":4,"3438":3,"3456":3,"3477":3,"351":5,"3516":3,"3555":3,"356981":3,"3584":[3,5],"36":3,"360017":2,"362445":1,"370":5,"3712":3,"3713":1,"371721":4,"372800":3,"373":5,"373605":3,"375705":3,"38":1,"380953":3,"384":[1,2,3],"3840":3,"384000":3,"384634":5,"386":5,"387109":5,"39":3,"390218":5,"3906":3,"394084":5,"396":5,"3968":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,"4023":3,"403344":4,"403347":4,"406":[2,5],"4062":3,"407414":5,"407990":2,"408716":4,"4096":[1,2,3,5],"411":2,"412":[2,5],"412561":5,"414":5,"415":2,"41576":4,"416":5,"416301":5,"4194304":1,"420":5,"42142":4,"423":5,"424508":3,"428":5,"428372":4,"428568":1,"428801":3,"429":5,"429013":5,"429770":1,"430113":3,"430545":3,"431969":4,"433562":5,"438":5,"438969":5,"44":[1,7],"441740":3,"446623":3,"447":5,"448255":1,"4492":3,"45":3,"450695":5,"4531":3,"453844":5,"46":3,"4608":5,"4609":3,"461":5,"461070":3,"463":5,"464755":3,"465340":5,"4688":3,"472":1,"472468":5,"473602":3,"479779":5,"481":5,"483477":5,"49":7,"4940":1,"495460":5,"496824":3,"498981":2,"4m":2,"4x":2,"5":[1,3,4,5,10,49],"500":5,"5000":3,"500614":3,"505":5,"507077":3,"509933":5,"51":3,"511":5,"512":[2,3,4,5],"5120":5,"512412":3,"52":3,"524288":1,"525":5,"526831":3,"53":3,"530":5,"530610":2,"5312":3,"54":3,"540":5,"540150":5,"541":4,"542":5,"546":2,"551":5,"552120":3,"56":3,"5632":5,"563555":3,"563695":3,"566038":2,"566838":2,"568":5,"568431":4,"571431":5,"574901":5,"584279":3,"585":2,"5859":3,"586858":4,"5898":3,"599455":5,"5mn":2,"6":[0,1,3,5],"600000":1,"600004":2,"606":2,"608294":3,"6094":3,"612060":3,"614":1,"6144":5,"615390":1,"617762":3,"618504":2,"62":3,"626369":5,"632545":3,"633240":2,"64":[1,3,5],"640":[2,3],"64kb":5,"650282":5,"651173":5,"652167":5,"654538":5,"655":2,"65536":[1,5],"656000":3,"656085":3,"656574":1,"656713":3,"661056":5,"661468":3,"661740":2,"664":2,"6656":5,"666684":2,"667485":5,"667843":5,"67":3,"67086":4,"67108864":1,"671974":5,"6724":1,"676558":5,"679085":2,"679167":2,"68":3,"682":2,"682211":3,"684218":5,"686414":5,"69":3,"693434":3,"6953":3,"695641":3,"698115":5,"7":[0,1,3,5,10],"70":3,"7031":3,"7070":3,"707878":4,"71":3,"710976":5,"7168":5,"718781":3,"719258":4,"72":3,"722":[1,2],"73":3,"730667":3,"732":[5,7],"737435":1,"743443":4,"7500":3,"751954":5,"754967":2,"76":[1,3],"760001":5,"767438":5,"768":[2,3],"7680":5,"768000":3,"773130":3,"78":3,"780":1,"781":2,"783":[1,7],"789":[2,7],"79":3,"793096":5,"794749":2,"79719":4,"799461":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,"811322":5,"812":[1,2],"814":2,"814814":2,"817432":4,"8192":[1,5],"82":3,"823058":3,"823517":[1,2],"825259":5,"83":3,"833":1,"838026":4,"8388608":1,"84":3,"842":1,"84284":4,"843":1,"845844":5,"847":1,"848":1,"849":1,"849777":3,"85":3,"850":1,"86":3,"867031":3,"87":3,"8704":5,"879370":5,"88":3,"8828":3,"8867":3,"888887":3,"89":3,"8906":3,"8945":3,"896":3,"899545":5,"8mn":2,"9":[0,1,2,3,4,5],"90":3,"908642":3,"91":3,"916513":5,"918555":5,"9216":5,"9219":3,"922209":5,"929456":3,"93":[2,3],"935876":5,"9375":3,"939124":5,"94":[2,3],"9492":3,"95":[2,3],"952835":4,"9531":3,"954908":5,"955488":3,"958106":5,"959121":5,"959629":5,"959706":3,"96":[2,5],"9688":3,"97":2,"970599":5,"971190":2,"9728":5,"9733":1,"976473":5,"978909":3,"98":[2,3,5],"9805":3,"982854":3,"983276":3,"98432":1,"9844":3,"989131":5,"991011":3,"998":[3,7],"998493":3,"999982":5,"999993":5,"999995":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