diff --git a/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip b/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip
index 0a9aea079..9376f84fb 100644
Binary files a/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip and b/_downloads/662999063954282841dc90b8945f85ce/tutorials_jupyter.zip differ
diff --git a/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip b/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip
index b9550e4d9..e5afc0786 100644
Binary files a/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip and b/_downloads/763344228ae6bc253ed1a6cf586aa30d/tutorials_python.zip differ
diff --git a/_images/sphx_glr_01-vector-add_001.png b/_images/sphx_glr_01-vector-add_001.png
index 4337ae57d..6b68b1c8a 100644
Binary files a/_images/sphx_glr_01-vector-add_001.png and b/_images/sphx_glr_01-vector-add_001.png differ
diff --git a/_images/sphx_glr_01-vector-add_thumb.png b/_images/sphx_glr_01-vector-add_thumb.png
index ca5efe5a9..abff8be28 100644
Binary files a/_images/sphx_glr_01-vector-add_thumb.png and b/_images/sphx_glr_01-vector-add_thumb.png differ
diff --git a/_images/sphx_glr_02-fused-softmax_001.png b/_images/sphx_glr_02-fused-softmax_001.png
index d738bb15c..73c547344 100644
Binary files a/_images/sphx_glr_02-fused-softmax_001.png and b/_images/sphx_glr_02-fused-softmax_001.png differ
diff --git a/_images/sphx_glr_02-fused-softmax_thumb.png b/_images/sphx_glr_02-fused-softmax_thumb.png
index 73ea32917..055b66580 100644
Binary files a/_images/sphx_glr_02-fused-softmax_thumb.png and b/_images/sphx_glr_02-fused-softmax_thumb.png differ
diff --git a/_images/sphx_glr_03-matrix-multiplication_001.png b/_images/sphx_glr_03-matrix-multiplication_001.png
index 9dbe76974..91c27838f 100644
Binary files a/_images/sphx_glr_03-matrix-multiplication_001.png and b/_images/sphx_glr_03-matrix-multiplication_001.png differ
diff --git a/_images/sphx_glr_03-matrix-multiplication_thumb.png b/_images/sphx_glr_03-matrix-multiplication_thumb.png
index f451eba0d..e9bc43bb1 100644
Binary files a/_images/sphx_glr_03-matrix-multiplication_thumb.png and b/_images/sphx_glr_03-matrix-multiplication_thumb.png differ
diff --git a/_sources/getting-started/tutorials/01-vector-add.rst.txt b/_sources/getting-started/tutorials/01-vector-add.rst.txt
index 62beb0ea0..63cc9e24b 100644
--- a/_sources/getting-started/tutorials/01-vector-add.rst.txt
+++ b/_sources/getting-started/tutorials/01-vector-add.rst.txt
@@ -216,7 +216,7 @@ We can now run the decorated function above. Pass `print_data=True` to see the p
 
     vector-add-performance:
                size      Triton       Torch
-    0        4096.0    9.540372    9.600000
+    0        4096.0    9.600000    9.600000
     1        8192.0   19.200000   19.200000
     2       16384.0   38.400001   38.400001
     3       32768.0   76.800002   76.800002
@@ -239,7 +239,7 @@ 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:** ( 0 minutes  11.018 seconds)
+   **Total running time of the script:** ( 0 minutes  12.689 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_01-vector-add.py:
diff --git a/_sources/getting-started/tutorials/02-fused-softmax.rst.txt b/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
index 8ef44cf97..0197ba4e1 100644
--- a/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
+++ b/_sources/getting-started/tutorials/02-fused-softmax.rst.txt
@@ -267,11 +267,11 @@ We will then compare its performance against (1) :code:`torch.softmax` and (2) t
     3     640.0  682.666684      640.000002   269.473696
     4     768.0  702.171410      664.216187   273.066663
     ..      ...         ...             ...          ...
-    93  12160.0  812.359066      405.755985   329.483481
+    93  12160.0  812.359066      406.179533   329.483481
     94  12288.0  812.429770      415.661740   329.602681
-    95  12416.0  810.840807      412.149375   329.173158
+    95  12416.0  810.840807      412.149375   328.900662
     96  12544.0  810.925276      412.971190   329.292871
-    97  12672.0  811.007961      412.097543   329.410251
+    97  12672.0  809.389265      412.097543   329.142870
 
     [98 rows x 4 columns]
 
@@ -290,7 +290,7 @@ In the above plot, we can see that:
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 1 minutes  8.191 seconds)
+   **Total running time of the script:** ( 1 minutes  8.263 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_02-fused-softmax.py:
diff --git a/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt b/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
index b54ef8470..ea165824e 100644
--- a/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
+++ b/_sources/getting-started/tutorials/03-matrix-multiplication.rst.txt
@@ -371,37 +371,37 @@ We can now compare the performance of our kernel against that of cuBLAS. Here we
     matmul-performance:
              M     cuBLAS  ...     Triton  Triton (+ LeakyReLU)
     0    128.0   0.455111  ...   0.512000              0.512000
-    1    256.0   2.978909  ...   3.276800              2.978909
-    2    384.0   7.372800  ...   8.507077              8.507077
-    3    512.0  14.563555  ...  16.384000             15.420235
+    1    256.0   2.730667  ...   2.978909              2.978909
+    2    384.0   7.372800  ...   7.899428              7.899428
+    3    512.0  14.563555  ...  15.420235             15.420235
     4    640.0  22.260869  ...  24.380953             24.380953
     5    768.0  32.768000  ...  34.028308             34.028308
-    6    896.0  39.025776  ...  39.025776             39.025776
+    6    896.0  39.025776  ...  39.025776             37.971025
     7   1024.0  49.932191  ...  52.428801             52.428801
-    8   1152.0  44.566925  ...  45.938215             45.938215
+    8   1152.0  44.566925  ...  46.656000             46.656000
     9   1280.0  51.200001  ...  56.109587             56.109587
-    10  1408.0  64.138541  ...  65.684049             58.621246
-    11  1536.0  79.526831  ...  76.106321             75.296679
-    12  1664.0  63.372618  ...  62.061463             61.636381
-    13  1792.0  72.983276  ...  69.379162             68.953520
-    14  1920.0  66.782607  ...  70.172588             70.172588
-    15  2048.0  73.908442  ...  75.573044             75.234154
-    16  2176.0  83.155572  ...  80.817862             79.226957
-    17  2304.0  68.251065  ...  73.051599             72.607513
-    18  2432.0  71.125224  ...  80.041209             80.963875
-    19  2560.0  77.101175  ...  77.101175             76.027843
-    20  2688.0  83.922689  ...  80.880718             83.369354
-    21  2816.0  78.584162  ...  78.726003             79.011245
-    22  2944.0  82.373605  ...  78.481940             80.640830
-    23  3072.0  79.415291  ...  84.892208             83.761985
-    24  3200.0  80.604535  ...  89.761569             87.312416
-    25  3328.0  83.130825  ...  82.369902             81.715431
-    26  3456.0  81.108217  ...  87.347312             83.200794
-    27  3584.0  86.707226  ...  96.579370             88.499397
-    28  3712.0  80.627396  ...  83.736248             81.950243
-    29  3840.0  80.197243  ...  85.930069             86.602979
-    30  3968.0  91.472214  ...  87.472354             87.409694
-    31  4096.0  92.948562  ...  91.553703             91.678778
+    10  1408.0  64.138541  ...  65.684049             65.684049
+    11  1536.0  80.430545  ...  76.106321             75.296679
+    12  1664.0  63.372618  ...  61.636381             61.636381
+    13  1792.0  72.983276  ...  68.953520             68.533074
+    14  1920.0  65.516586  ...  67.764707             69.120002
+    15  2048.0  73.584279  ...  75.234154             74.898285
+    16  2176.0  82.473969  ...  78.302130             78.608000
+    17  2304.0  68.446623  ...  73.051599             72.607513
+    18  2432.0  71.305746  ...  80.499895             80.963875
+    19  2560.0  78.019048  ...  76.740048             74.983980
+    20  2688.0  83.737433  ...  83.552988             80.537273
+    21  2816.0  78.868366  ...  77.193289             78.442822
+    22  2944.0  81.166173  ...  80.122235             77.385141
+    23  3072.0  81.472093  ...  83.391907             81.121923
+    24  3200.0  82.368085  ...  86.021503             87.671229
+    25  3328.0  83.516586  ...  86.320498             82.939284
+    26  3456.0  81.849303  ...  80.783132             85.043848
+    27  3584.0  87.211821  ...  92.126428             84.663603
+    28  3712.0  84.088676  ...  84.301560             81.550936
+    29  3840.0  81.079177  ...  84.164384             85.267542
+    30  3968.0  92.442373  ...  84.038524             83.807647
+    31  4096.0  93.401342  ...  91.304576             91.056800
 
     [32 rows x 5 columns]
 
@@ -411,7 +411,7 @@ 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:** ( 2 minutes  12.196 seconds)
+   **Total running time of the script:** ( 2 minutes  10.315 seconds)
 
 
 .. _sphx_glr_download_getting-started_tutorials_03-matrix-multiplication.py:
diff --git a/_sources/getting-started/tutorials/sg_execution_times.rst.txt b/_sources/getting-started/tutorials/sg_execution_times.rst.txt
index 06599c359..1885ac54e 100644
--- a/_sources/getting-started/tutorials/sg_execution_times.rst.txt
+++ b/_sources/getting-started/tutorials/sg_execution_times.rst.txt
@@ -5,12 +5,12 @@
 
 Computation times
 =================
-**03:31.405** total execution time for **getting-started_tutorials** files:
+**03:31.267** total execution time for **getting-started_tutorials** files:
 
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 02:12.196 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_03-matrix-multiplication.py` (``03-matrix-multiplication.py``) | 02:10.315 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 01:08.191 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_02-fused-softmax.py` (``02-fused-softmax.py``)                 | 01:08.263 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
-| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 00:11.018 | 0.0 MB |
+| :ref:`sphx_glr_getting-started_tutorials_01-vector-add.py` (``01-vector-add.py``)                       | 00:12.689 | 0.0 MB |
 +---------------------------------------------------------------------------------------------------------+-----------+--------+
diff --git a/getting-started/tutorials/01-vector-add.html b/getting-started/tutorials/01-vector-add.html
index 6de7caf72..d68a7af8f 100644
--- a/getting-started/tutorials/01-vector-add.html
+++ b/getting-started/tutorials/01-vector-add.html
@@ -305,7 +305,7 @@ for different problem sizes.</p>
 <p class="sphx-glr-script-out">Out:</p>
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>vector-add-performance:
            size      Triton       Torch
-0        4096.0    9.540372    9.600000
+0        4096.0    9.600000    9.600000
 1        8192.0   19.200000   19.200000
 2       16384.0   38.400001   38.400001
 3       32768.0   76.800002   76.800002
@@ -323,7 +323,7 @@ for different problem sizes.</p>
 15  134217728.0  851.577704  850.656574
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  11.018 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 0 minutes  12.689 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/getting-started/tutorials/02-fused-softmax.html b/getting-started/tutorials/02-fused-softmax.html
index ddacff1cf..6f8dd9522 100644
--- a/getting-started/tutorials/02-fused-softmax.html
+++ b/getting-started/tutorials/02-fused-softmax.html
@@ -352,11 +352,11 @@ We will then compare its performance against (1) <code class="code docutils lite
 3     640.0  682.666684      640.000002   269.473696
 4     768.0  702.171410      664.216187   273.066663
 ..      ...         ...             ...          ...
-93  12160.0  812.359066      405.755985   329.483481
+93  12160.0  812.359066      406.179533   329.483481
 94  12288.0  812.429770      415.661740   329.602681
-95  12416.0  810.840807      412.149375   329.173158
+95  12416.0  810.840807      412.149375   328.900662
 96  12544.0  810.925276      412.971190   329.292871
-97  12672.0  811.007961      412.097543   329.410251
+97  12672.0  809.389265      412.097543   329.142870
 
 [98 rows x 4 columns]
 </pre></div>
@@ -370,7 +370,7 @@ This means that – when temporary data is too large to fit entirely in the GPU
 Note that our Triton kernel is not only faster than PyTorch’s CUDA kernel, it is also <strong>easier to read, understand and maintain</strong>.</p></li>
 </ul>
 </div></blockquote>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  8.191 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 1 minutes  8.263 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/getting-started/tutorials/03-matrix-multiplication.html b/getting-started/tutorials/03-matrix-multiplication.html
index 8cab234b4..9df5f5f3b 100644
--- a/getting-started/tutorials/03-matrix-multiplication.html
+++ b/getting-started/tutorials/03-matrix-multiplication.html
@@ -476,42 +476,42 @@ tensor(True, device=&#39;cuda:0&#39;)
 <div class="sphx-glr-script-out highlight-none notranslate"><div class="highlight"><pre><span></span>matmul-performance:
          M     cuBLAS  ...     Triton  Triton (+ LeakyReLU)
 0    128.0   0.455111  ...   0.512000              0.512000
-1    256.0   2.978909  ...   3.276800              2.978909
-2    384.0   7.372800  ...   8.507077              8.507077
-3    512.0  14.563555  ...  16.384000             15.420235
+1    256.0   2.730667  ...   2.978909              2.978909
+2    384.0   7.372800  ...   7.899428              7.899428
+3    512.0  14.563555  ...  15.420235             15.420235
 4    640.0  22.260869  ...  24.380953             24.380953
 5    768.0  32.768000  ...  34.028308             34.028308
-6    896.0  39.025776  ...  39.025776             39.025776
+6    896.0  39.025776  ...  39.025776             37.971025
 7   1024.0  49.932191  ...  52.428801             52.428801
-8   1152.0  44.566925  ...  45.938215             45.938215
+8   1152.0  44.566925  ...  46.656000             46.656000
 9   1280.0  51.200001  ...  56.109587             56.109587
-10  1408.0  64.138541  ...  65.684049             58.621246
-11  1536.0  79.526831  ...  76.106321             75.296679
-12  1664.0  63.372618  ...  62.061463             61.636381
-13  1792.0  72.983276  ...  69.379162             68.953520
-14  1920.0  66.782607  ...  70.172588             70.172588
-15  2048.0  73.908442  ...  75.573044             75.234154
-16  2176.0  83.155572  ...  80.817862             79.226957
-17  2304.0  68.251065  ...  73.051599             72.607513
-18  2432.0  71.125224  ...  80.041209             80.963875
-19  2560.0  77.101175  ...  77.101175             76.027843
-20  2688.0  83.922689  ...  80.880718             83.369354
-21  2816.0  78.584162  ...  78.726003             79.011245
-22  2944.0  82.373605  ...  78.481940             80.640830
-23  3072.0  79.415291  ...  84.892208             83.761985
-24  3200.0  80.604535  ...  89.761569             87.312416
-25  3328.0  83.130825  ...  82.369902             81.715431
-26  3456.0  81.108217  ...  87.347312             83.200794
-27  3584.0  86.707226  ...  96.579370             88.499397
-28  3712.0  80.627396  ...  83.736248             81.950243
-29  3840.0  80.197243  ...  85.930069             86.602979
-30  3968.0  91.472214  ...  87.472354             87.409694
-31  4096.0  92.948562  ...  91.553703             91.678778
+10  1408.0  64.138541  ...  65.684049             65.684049
+11  1536.0  80.430545  ...  76.106321             75.296679
+12  1664.0  63.372618  ...  61.636381             61.636381
+13  1792.0  72.983276  ...  68.953520             68.533074
+14  1920.0  65.516586  ...  67.764707             69.120002
+15  2048.0  73.584279  ...  75.234154             74.898285
+16  2176.0  82.473969  ...  78.302130             78.608000
+17  2304.0  68.446623  ...  73.051599             72.607513
+18  2432.0  71.305746  ...  80.499895             80.963875
+19  2560.0  78.019048  ...  76.740048             74.983980
+20  2688.0  83.737433  ...  83.552988             80.537273
+21  2816.0  78.868366  ...  77.193289             78.442822
+22  2944.0  81.166173  ...  80.122235             77.385141
+23  3072.0  81.472093  ...  83.391907             81.121923
+24  3200.0  82.368085  ...  86.021503             87.671229
+25  3328.0  83.516586  ...  86.320498             82.939284
+26  3456.0  81.849303  ...  80.783132             85.043848
+27  3584.0  87.211821  ...  92.126428             84.663603
+28  3712.0  84.088676  ...  84.301560             81.550936
+29  3840.0  81.079177  ...  84.164384             85.267542
+30  3968.0  92.442373  ...  84.038524             83.807647
+31  4096.0  93.401342  ...  91.304576             91.056800
 
 [32 rows x 5 columns]
 </pre></div>
 </div>
-<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 2 minutes  12.196 seconds)</p>
+<p class="sphx-glr-timing"><strong>Total running time of the script:</strong> ( 2 minutes  10.315 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/getting-started/tutorials/sg_execution_times.html b/getting-started/tutorials/sg_execution_times.html
index 802a6afab..8827830cb 100644
--- a/getting-started/tutorials/sg_execution_times.html
+++ b/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>03:31.405</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
+<p><strong>03:31.267</strong> total execution time for <strong>getting-started_tutorials</strong> files:</p>
 <table class="docutils align-default">
 <colgroup>
 <col style="width: 85%" />
@@ -183,15 +183,15 @@
 </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>02:12.196</p></td>
+<td><p>02:10.315</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>01:08.191</p></td>
+<td><p>01:08.263</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 <tr class="row-odd"><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>00:11.018</p></td>
+<td><p>00:12.689</p></td>
 <td><p>0.0 MB</p></td>
 </tr>
 </tbody>
diff --git a/searchindex.js b/searchindex.js
index 73a24de4b..d71fe944c 100644
--- a/searchindex.js
+++ b/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/index","getting-started/tutorials/sg_execution_times","index","programming-guide/chapter-1/introduction","programming-guide/chapter-2/related-work","python-api/generated/triton.jit","python-api/generated/triton.language.arange","python-api/generated/triton.language.atomic_cas","python-api/generated/triton.language.atomic_xchg","python-api/generated/triton.language.broadcast_to","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.ravel","python-api/generated/triton.language.reshape","python-api/generated/triton.language.sigmoid","python-api/generated/triton.language.softmax","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: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/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.jit.rst","python-api/generated/triton.language.arange.rst","python-api/generated/triton.language.atomic_cas.rst","python-api/generated/triton.language.atomic_xchg.rst","python-api/generated/triton.language.broadcast_to.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.ravel.rst","python-api/generated/triton.language.reshape.rst","python-api/generated/triton.language.sigmoid.rst","python-api/generated/triton.language.softmax.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.language":{arange:[10,0,1,""],atomic_cas:[11,0,1,""],atomic_xchg:[12,0,1,""],broadcast_to:[13,0,1,""],dot:[14,0,1,""],exp:[15,0,1,""],load:[16,0,1,""],log:[17,0,1,""],max:[18,0,1,""],maximum:[19,0,1,""],min:[20,0,1,""],minimum:[21,0,1,""],multiple_of:[22,0,1,""],num_programs:[23,0,1,""],program_id:[24,0,1,""],ravel:[25,0,1,""],reshape:[26,0,1,""],sigmoid:[27,0,1,""],softmax:[28,0,1,""],store:[29,0,1,""],sum:[30,0,1,""],where:[31,0,1,""],zeros:[32,0,1,""]},"triton.testing":{Benchmark:[33,1,1,""],do_bench:[34,0,1,""],perf_report:[35,0,1,""]},"triton.testing.Benchmark":{__init__:[33,2,1,""]},triton:{jit:[9,0,1,""]}},objnames:{"0":["py","function","Python function"],"1":["py","class","Python class"],"2":["py","method","Python method"]},objtypes:{"0":"py:function","1":"py:class","2":"py:method"},terms:{"0":[1,2,3,5,7,8,23,24,32,34],"00":5,"0000":3,"000001":[1,2],"000002":2,"007961":2,"01":[1,3,5],"011245":3,"018":[1,5],"02":[2,5],"025776":3,"027843":3,"028308":3,"03":[3,5],"041209":3,"051599":3,"061463":3,"0625":3,"066663":2,"066674":2,"08":5,"084721":1,"0938":3,"097543":2,"0f":8,"1":[1,2,3,6,8,23,24],"10":[1,3],"100":[2,34],"101175":3,"1024":[1,3],"1045":3,"1048576":1,"106321":3,"108217":3,"109587":3,"10mn":2,"11":[0,1,3,5],"1152":3,"12":[1,3,5],"12160":2,"12288":2,"12416":2,"125224":3,"12544":2,"12672":2,"127":1,"128":[2,3],"1280":3,"13":[1,3],"130429":2,"130825":3,"131072":1,"1328":3,"133347":2,"134217728":1,"138541":3,"14":[1,3],"1408":3,"142862":2,"149375":2,"15":[1,3],"1536":3,"153853":2,"155572":3,"16":[2,3,8,32],"16384":1,"1664":3,"16777216":1,"17":3,"171410":2,"172588":3,"173158":2,"1792":3,"18":3,"1823":2,"19":[1,3],"190482":1,"191":[2,5],"1920":3,"196":[3,5],"197243":3,"1983":7,"1984":8,"1989":8,"1991":[7,8],"1999":8,"1e":[1,2,3],"2":[1,2,3,6,8,23,24,34],"20":[3,34],"200000":1,"200001":3,"2004":8,"2006":8,"200794":3,"2012":8,"2013":7,"2014":7,"2016":[7,8],"2017":7,"2018":[7,8],"2019":8,"2021":[7,8],"2048":[2,3],"2097152":1,"21":3,"2141":1,"216187":2,"2176":3,"219":1,"22":3,"220":3,"226957":3,"23":3,"2304":3,"234154":3,"24":3,"2432":3,"245":3,"25":[3,34],"251065":3,"256":[2,3],"2560":3,"258068":2,"26":3,"260869":3,"262144":1,"264":2,"2656":3,"267":2,"2688":3,"269":2,"27":3,"273":2,"276800":3,"278610":1,"28":[1,3],"2812":3,"2816":3,"2891":3,"29":3,"292871":2,"2944":3,"296679":3,"2d":[3,14],"2m":2,"2mn":2,"3":[0,1,2,3,8],"30":3,"3072":3,"3076":1,"31":[3,5],"312416":3,"3125":3,"32":3,"3200":3,"32768":1,"3281":3,"329":2,"33":3,"3328":3,"33554432":1,"34":3,"3438":3,"3456":3,"347312":3,"3477":3,"3516":3,"3555":3,"3584":3,"359066":2,"36":3,"362445":1,"369354":3,"369902":3,"3712":3,"3713":1,"372618":3,"372800":3,"373605":3,"379162":3,"38":1,"380953":3,"384":[1,2,3],"3840":3,"384000":3,"39":3,"3906":3,"3968":3,"3984":3,"3d":[23,24],"3mn":2,"3x":2,"4":[1,2,3,8],"40":3,"400001":1,"400016":1,"4023":3,"405":[2,5],"4062":3,"4096":[1,2,3],"409694":3,"410251":2,"412":2,"415":2,"415291":3,"4194304":1,"420235":3,"428568":1,"428801":3,"429770":[1,2],"44":3,"4492":3,"45":3,"4531":3,"455111":3,"4609":3,"4688":3,"472":1,"472214":3,"472354":3,"473696":2,"481940":3,"483481":2,"49":3,"4940":1,"499397":3,"5":[1,3,8],"5000":3,"507077":3,"51":3,"512":[2,3],"512000":3,"52":3,"524288":1,"526831":3,"5312":3,"540372":1,"546":2,"553703":3,"56":3,"563555":3,"566925":3,"573044":3,"577704":1,"579370":3,"58":3,"584162":3,"585":2,"5859":3,"5898":3,"5x":2,"6":[0,1,3],"600000":1,"602681":2,"602979":3,"604535":3,"606":2,"607513":3,"6094":3,"61":3,"614":1,"615390":1,"62":3,"621246":3,"627396":3,"63":3,"630":2,"636381":3,"64":3,"640":[2,3],"640830":3,"65":3,"65536":1,"656574":1,"66":3,"661740":2,"664":2,"666684":2,"67108864":1,"6724":1,"678778":3,"68":3,"682":2,"684049":3,"69":3,"6953":3,"7":[0,1,3,8],"70":3,"702":2,"7031":3,"7070":3,"707226":3,"71":3,"715431":3,"72":3,"722":1,"726003":3,"73":3,"736248":3,"75":3,"7500":3,"755985":2,"76":[1,3],"761569":3,"761985":3,"768":[2,3],"768000":3,"77":3,"78":3,"780":1,"781":2,"782607":3,"79":3,"7mn":2,"8":[1,2,3,8,32,34],"80":[3,34],"800002":1,"81":3,"810":2,"811":2,"811163":1,"812":[1,2],"814814":2,"817862":3,"8192":1,"82":3,"823517":1,"83":3,"833":1,"8388608":1,"84":3,"840807":2,"843":1,"848":1,"849":1,"85":3,"850":1,"851":1,"86":3,"87":3,"88":3,"880718":3,"8828":3,"8867":3,"89":3,"8906":3,"892208":3,"8945":3,"896":3,"9":[0,1,2,3],"908442":3,"91":3,"92":3,"9219":3,"922689":3,"925276":2,"93":2,"930069":3,"932191":3,"9375":3,"938215":3,"94":2,"948562":3,"9492":3,"95":2,"950243":3,"9531":3,"953520":3,"96":[2,3],"963875":3,"9688":3,"97":2,"971190":2,"9733":1,"978909":3,"98":2,"9805":3,"983276":3,"98432":1,"9844":3,"999995":1,"abstract":[7,8],"break":8,"byte":2,"case":[2,3,7,8,11],"class":[2,7,8,33],"default":34,"do":[2,3,7,8,16,29],"float":[2,7,8,34],"function":[1,2,3,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33,34,35],"import":[1,2,3,7,8],"int":[1,7,8,10,13,23,24,26,32,34],"new":[12,13,26,32],"return":[1,2,3,10,12,14,16,18,20,23,24,25,30,31,32,34,35],"static":[0,7,8],"super":3,"switch":3,"true":[1,2,3,31],"try":3,"var":8,"while":7,A:[3,7,8],And:[0,3],As:[2,3,7,8],At:8,By:34,For:[3,7,8],If:[8,29,31,33],In:[1,2,3,8],It:[1,3,4,6,8,9],Of:7,On:8,One:3,The:[1,2,3,7,8,11,12,13,14,23,24,26,29,31,35],These:8,To:[1,7,8],_:3,__expf:2,__init__:33,_add:1,_matmul:3,_softmax:2,a100:[3,8],ab:1,abl:8,about:[1,2,3,6],abov:[1,2,3,8],academ:7,acc:[3,7,8],acceler:7,accept:3,access:[1,7,8,9],accomod:3,accordingli:8,account:8,accumul:8,accuraci:7,achiev:[3,7,8],across:[7,8],activ:3,actual:[3,7,8],add:[1,5],addit:[2,4,5,7,34],addition:8,address:[2,7,16],adopt:8,advanc:7,advoc:8,affect:3,affin:8,against:[0,1,2,3,6],aggress:[7,8],agnost:[7,8],ahead:8,aim:[2,6],al:[7,8],algebra:8,algorithm:[3,7,8],alia:8,all:[2,3,4,7,8,18,20,22,30,33],allclos:[2,3],allen1984:8,allen:8,alloc:[1,2,3,7],allow:[1,2,7,8],almost:2,along:[1,18,20,23,24,30,34],also:[1,2,3,7,8],alwai:[8,31],amd:7,amen:8,amount:[2,7],ampl:8,an:[1,2,3,7,8,11],analog:1,analysi:[7,8],analyz:8,ancourt1991:8,ancourt:8,ani:[2,3,8,33],anoth:[2,8],apart:8,api:33,appear:33,appli:[7,8],applic:8,approach:[7,8],appropri:1,approxim:2,ar:[0,2,3,7,8,9,16,22,29,31,33],arang:[1,2,3],arbitrari:3,architectur:[3,7],area:8,arg:[1,2,3,33],argument:[1,2,3,9,31,33],arrai:[8,32],arrang:3,art:[7,8],arxiv:[7,8],ask:2,aspect:8,asplo:7,assert:3,assum:[2,33],asynchron:[1,7],atom:11,auguin1983:7,auguin:7,auto:[2,3,8],autom:7,automat:[2,3,7,8],autotun:[3,8],avail:[0,7,8],avoid:31,awar:7,axi:[1,2,3,18,20,23,24,30,33],b:[3,7,8],back:[1,2],baghdadi2021:[7,8],baghdadi:[7,8],balanc:8,bandwidth:2,base:[6,7,8],basic:[1,4,8],becom:7,been:[1,7,8],befor:3,begin:8,behavior:8,believ:8,below:[4,8],bench:0,benchmark:[0,34,35],benefit:[2,7,8],best:[1,7],better:3,between:[1,7],block:[1,2,3,7,8,11,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,32],block_k:3,block_m:3,block_n:3,block_siz:8,blue:[1,2,3],boil:8,bool:[31,33],both:[8,31],bound:[1,2,8],branch:8,broad:7,broadcast:[13,16,29,31],build:[0,3],builder:[10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],built:[1,8],c:[3,7,8],c_0:3,c_1:3,cach:[2,7,8],call:[1,3,8,9],callabl:[1,9,34],can:[0,1,2,3,7,8,35],cannot:[3,7,8],capabl:[6,7],cd:0,cdiv:[1,3],cgo:[7,8],chang:3,chapter:6,characterist:8,cheap:7,check:[3,6],chen2018:7,chen:7,chip:2,choic:6,cite:8,click:[1,2,3],clone:0,close:8,cmake:0,cmp:11,coalesc:7,code:[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],col:[2,8],color:33,column:[2,3],com:[0,8],combin:7,come:[2,3,8],command:0,common:8,commonli:8,compar:[2,3,6,8,11],compat:14,compil:[2,3,6,7,9,22],complet:8,complex:8,compos:7,composit:8,comprehens:[7,8],comput:[6,7,8,15,17,19,21,27,28],computation:[7,8],concern:8,concis:[1,33],condit:[8,31],config:3,configur:[3,35],connectom:7,consecut:8,consequ:7,consid:2,constraint:[3,8],construct:7,constructor:33,consum:3,contain:[8,11,12,33],contextu:8,contigu:[3,10,25],control:[7,8],conveni:3,convert:[1,9],convolut:7,copi:[7,11],core:[7,8],correct:1,correspond:[1,2,3,33],cost:8,could:[2,8],cours:7,cpython:0,creat:[1,2,3,7],csv:1,cubla:[3,7],cuda:[1,2,3,7],cudnn:7,current:24,custom:[1,2,3,6],cut:3,cvpr:7,d:[2,9],dart:8,darte1999:8,data:[1,2,3,7,8,16,31,32],data_ptr:9,dataflow:8,decad:7,declar:1,decompos:8,decor:[1,3,9],deep:[3,7,8],def:[1,2,3],defin:[1,2,3,8,16],definit:8,denom:2,denomin:2,denot:1,dens:8,depend:[0,8,31],deploi:7,describ:8,design:8,desir:[13,26],detail:8,detect:7,develop:[7,8],devic:[1,2,3],dialect:8,diesel:8,differ:[1,2,3,7,8,33],difficult:8,difficulti:[3,7],dijkstra82:8,dim:[2,8],dimens:[3,14,18,20,30],dimension:[3,8,14],dir:0,disjoint:8,disk:1,dissert:8,distribut:[2,8],dnn:[6,7,8],do_bench:[1,2,3],doe:[1,2,3,8],doesn:8,domain:[7,8],don:[1,2],done:[3,7,18,20,30],dot:3,doubli:3,doubt:8,down:8,download:[0,1,2,3,4],dram:2,dsl:[6,7,8],dtype:[1,2,3,11,12,16,29,32],e:[0,2,3,7,8,32],each:[1,2,3,7,8],eas:8,easi:3,easier:[1,2,7],easili:3,ed:[1,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],education:2,effect:8,effici:[3,7],effort:8,either:[1,23,24,31],elango2018:8,elango:8,element:[1,2,15,17,18,19,20,21,27,28,29,30,31,33],element_s:2,element_ti:[11,12,16,29],elementwis:[2,16],emerg:7,empti:3,empty_lik:[1,2],enabl:8,encod:8,end:[7,8,10],enforc:8,engin:8,enqueu:[1,2],ensur:8,entir:[2,8],environ:6,equal:8,especi:7,et:[7,8],euromicro:7,evalu:[3,31],even:[2,8],evidenc:7,evolv:7,exampl:[1,2,3,4,7,8],execut:[5,7,8,35],exist:[7,8],exp:2,expect:[2,11],expens:[7,8],explor:7,exponenti:[2,15],express:[7,8],extend:3,extract:3,extrem:8,f:[1,8],facilit:[7,8],fact:8,fairli:3,fals:[16,29,31,33],far:2,fast:[2,7,8],faster:2,fastest:8,feel:3,fetch:7,few:8,field:7,figur:8,file:[1,2,3,5],fill:32,first:[1,6,8,14,19,21],fit:2,fix:33,flag:2,flatten:25,flexibl:7,float16:[3,14,32],float32:[1,2,3,14],flow:[7,8],fn:[9,34],focu:[3,8],follow:[0,2,3,6,7,8],forget:1,formal:8,format:8,found:11,foundat:8,fp16:3,framework:[7,8],free:3,from:[2,3,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],full:[1,2,3],fulli:8,func:8,fundament:8,further:8,fuse:[3,4,5],fusion:[2,8],g:[3,7,8,32],galleri:[1,2,3,4],gb:[1,2],gbp:[1,2],gener:[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33],geq:8,get:[1,2,5],girbal2006:8,girbal:8,git:0,github:0,give:7,given:[2,3,12,13,23,24,26,32],global:8,go:[1,3,8],good:[1,8],gpgpu:7,gpu:[1,2,6,7,8,9],grad_to_non:34,gradient:34,grammat:8,graphic:7,greater:2,green:[1,2,3],grid:[1,2,3,23,24],grid_m:3,grid_n:3,grosser2012:8,grosser:8,group:3,group_id:3,group_m:3,group_siz:3,grow:8,guard:[1,2],guess:2,guid:7,ha:[1,7,8,23,24],halid:[7,8],hand:8,handl:[1,2,3,8],handwritten:7,hard:3,harder:8,hardwar:[3,6,8],hasn:1,have:[2,7,8,9,14,31,33],heavi:7,helper:[1,2],henc:3,here:[1,2,3],heurist:2,hierarch:7,hierarchi:8,high:[3,7,8],highli:7,highlight:8,hint:8,hit:3,how:[1,2,3,6,7],howev:8,http:0,i:[1,2,3,7,8],id:[3,24],idea:7,ideal:2,ident:2,idx:[16,29],imag:[7,8],implement:[1,2,3,7,8],implicitli:[1,9,16,29],importantli:8,impos:8,improv:3,incompat:[3,8],increas:[1,2],incred:7,increment:8,inde:8,independ:8,index:[1,2],indic:[2,8,31],induc:8,industri:7,inequ:8,inf:2,inform:8,infrastructur:8,initi:3,inner:[3,14],inplac:3,input:[1,2,3,8,13,14,15,17,18,19,20,21,22,25,26,27,28,30],instal:6,instanc:[1,2,3,7,23,24],instead:[2,31],instruct:[6,7],int1:[16,29],integ:8,interchang:8,interest:[7,8],intermedi:8,intern:[2,8],interv:10,intrins:8,introduct:6,invari:8,ipynb:[1,2,3],ir:[8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],irregular:[2,8],is_contigu:3,issu:[7,8],iter:[3,7,8],its:[1,2,8],j:[3,7,8],jit:[1,2,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],journal:8,jrk2013:7,jupyt:[1,2,3,4],just:[3,8],k:[3,7,8],kb:7,kei:[3,7],kellei:7,kernel:[6,7],keyword:1,ki:8,kind:2,know:22,known:8,label:[1,2,3,33],lam1991:7,lam:7,lambda:[1,2,3],languag:[1,2,3,6,7,9],larg:[2,7,8],later:[2,8],latest:0,lattner2004:8,lattner2019:8,lattner:8,launch:[1,2,3,23,24],law:8,layer:[7,8],lead:[7,8],leaky_relu:3,leakyrelu:3,learn:[1,2,3,6,7,8],least:8,lee2017:7,lee:7,left:8,legal:8,less:[7,8],let:[1,2,22],letter:8,level:[3,7,8],li:7,librari:[0,3,7,8],lifelong:8,like:[1,7,8],limit:2,line:[1,2,3,8,33],line_arg:[1,2,3,33],line_nam:[1,2,3,33],line_v:[1,2,3,33],linear:[7,8],link:0,list:[3,33,34,35],litteratur:8,llvm11:0,llvm:[0,8],load:[1,2,3,8,31],local:[7,8],locat:[3,11,12,16,29],log:33,logarithm:[1,17],look:[2,6,7],loop:[3,8],low:8,m:[0,2,3,7],machin:[7,8],machineri:[7,8],made:7,mai:8,main:[3,7,8],maintain:[2,8],major:[3,8],make:[1,2,7,8],manag:7,mani:[7,8],manual:[2,8],manual_se:[1,2,3],mapl:8,mark:35,markedli:7,mask:[1,2,3,16,29,31],match:11,mathbb:8,mathbf:8,mathcal:8,mathemat:8,matmul:[3,8],matric:[2,3],matrix:[2,4,5,7,8,14],matrix_s:8,matter:[3,7,8],max:[1,2],max_m:[1,2,3],maxim:[6,8],maximum:[1,2,18],mb:[5,7],mean:[2,3,8],mechan:[2,8],median:34,memori:[1,2,3,7,8,11,12,16,29,31],mention:3,meta:[1,2,3],metaparamet:[1,3],method:[8,9,33,35],methodolog:8,micro:7,min:3,min_m:[1,2,3],minimum:20,minut:[1,2,3],miss:8,mitig:8,ml:7,mlir:8,mn:2,model:[1,7,8],modern:[3,6,7,8],modular:8,moor:8,more:[2,6,7,8,33],most:[3,8],ms:[1,2,3,34],mullapudi2016:8,mullapudi:8,multi:[3,7,8],multipl:[4,5,7,8,22],multipli:[8,14],must:[2,3,10,14,31],my:2,n:[1,2,3,7],naiv:2,naive_softmax:2,name:[1,2,3,33],nativ:[1,2,3],natur:[2,7,17],nb:7,necessari:2,need:[2,3],nelement:2,nest:[3,8],net:8,network:[7,8],neural:[7,8],neurosci:7,next:[2,3],next_power_of_2:2,nightli:0,nip:7,nn:3,non:7,none:[2,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33,34],nonzero:31,normal:[2,3],note:[0,1,2,8,9,31],notebook:[1,2,3,4],notic:8,notori:[3,7],novel:7,now:[1,3],num:2,num_stag:3,num_warp:[2,3],number:[1,2,8,23],numer:[2,7],nvidia:7,object:[1,3,7,9,11],obtain:1,obvious:2,occur:8,offer:7,offici:0,offset:1,often:3,old:12,omega:8,onc:[2,7,8],one:[2,4,7,8,33],onli:[2,3,7,8,9],op:[1,2],open:10,openai:0,opencl:7,oper:[1,2,3,4,7,31],operand:3,opportun:7,opsila:7,optim:[7,8],option:[1,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33,34],order:[3,4,8],origin:8,osdi:7,other:[2,3,6,8,9,14,16,19,21],otherwis:31,our:[1,2,3,7],out:[1,2,3,6,8],outlin:8,output:[1,2,3],over:[2,7,8],p:8,pa:3,packag:9,pact:8,pad:2,par:3,paradigm:[7,8],parallel:[1,3,6,7,8],paralleliz:7,param:22,paramet:[1,3,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35],parametr:7,part:[3,8],partial:2,particular:2,particularli:[7,8],partit:7,pass:[1,8],past:[7,8],path:1,pattern:7,pb:3,peak:8,per:2,percentil:34,perf:3,perf_report:[1,2,3,33],perform:[1,2,7,8,11,34],pgm:3,phase:8,philosophi:8,pid:[1,3],pid_m:3,pid_n:3,pip:0,pipelin:[7,8],platform:[6,8],pldi:7,plot:[0,1,2,3,33],plot_nam:[1,2,3,33],pmatrix:8,point:[1,8],pointer:[1,9,11,12,16,29],pointerdtyp:[11,12,16,29],polli:8,polyhedr:7,polyhedra:8,popular:8,portabl:[7,8],pose:7,possibl:[1,2,3,8],power:[2,8,10],ppopp:8,practic:[1,2,3,7],pragma:7,pre:[0,7],predict:8,prefer:2,premis:7,present:[0,3],preserv:8,prevent:8,primer:8,primit:[7,9],principl:8,print:[1,2,3],print_data:[1,2,3],probabl:8,problem:1,problemat:8,procedur:8,process:[1,7,8],processor:7,product:[6,8,14],program:[1,2,3,6,7,23,24],program_id:[1,2,3],programm:[7,8],project:7,promot:[3,8],properli:2,properti:8,propos:7,proprietari:3,provid:[1,2,3,6,8,18,20,30,34],pseudo:3,purpos:[7,8],push:8,putat:8,py:[0,1,2,3,5],pypi:0,pytest:0,python:[1,2,3,4,9],pytorch:[1,2],qquad:8,r:2,ragan:7,rand:1,randn:[2,3],rang:[1,2,3,7,8],rapidli:[7,8],rate:3,rather:7,raw:1,rdom:8,re:[1,3],read:[2,3,4],reader:8,real:7,reason:8,recent:7,recommend:4,recomput:7,rectifi:7,redmon2016:7,redmon:7,reduct:[2,18,20,30],refer:1,regardless:31,regist:3,regrett:7,regular:8,rel:[1,8],relat:6,releas:[0,7],reli:8,relu:3,remain:[7,33],remateri:3,rememb:3,reorder:8,rep:34,repetit:34,repres:8,requir:[2,8],research:[7,8],reset:34,resolut:8,resourc:7,resp:8,respect:8,restrict:8,result:[0,1,2,7,8],ret:2,retriev:8,reus:3,revisit:7,right:8,rise:8,rk:3,rm:3,rn:3,roughli:3,row:[2,3],run:[0,1,2,3,6,8,9,35],runtim:[8,34],rvar:8,s:[1,2,8],said:8,same:[7,33],sato2019:8,sato:8,save:[1,2,3],save_path:1,sc:8,scalabl:8,scalar:[7,14,32],scale:33,scan:8,schedul:7,scienc:8,scop:8,scope:8,script:[0,1,2,3],second:[1,2,3,8,14,19,21],section:8,see:[1,2,8],seem:[1,8],select:[7,31],self:33,semant:8,semi:8,sens:[1,7,8],separ:8,sequenc:7,set:[1,8],setup:0,sever:[7,8],shall:8,shape:[1,2,3,8,13,16,26,29,31,32],share:7,should:[7,8,18,20,30,33],show_plot:[1,2,3],shown:8,side:8,sight:8,signal:7,significantli:2,sigplan:8,simd:7,simpl:[1,2,3],simplest:4,simpli:8,sinc:[1,3],singl:7,size:[1,2,8],slower:[7,8],slowest:8,sm:8,smallest:2,snemi3d:7,so:[2,3,8],softmax:[4,5],solid:8,solut:3,solv:8,some:3,sometim:8,sourc:[1,2,3,4,8],space:[7,8],spars:[7,8],spatial:8,speak:3,special:7,specif:[3,7],specifi:[8,11,29],speed:2,sphinx:[1,2,3,4],split:8,spmd:[1,7,8],sram:2,stabil:2,stabl:0,standard:8,start:[4,10],started_tutori:5,state:[7,8],statement:8,step:8,still:[1,2,8],stop:10,store:[1,2,3,12,31],str:33,straightforward:3,strategi:8,strength:7,stride:[2,3],stride_a_0:3,stride_a_1:3,stride_ak:3,stride_am:3,stride_b_0:3,stride_b_1:3,stride_bk:3,stride_bn:3,stride_cm:3,stride_cn:3,stride_x_0:3,stride_x_1:3,stride_xm:2,stride_ym:2,structur:[7,8],style:[1,2,3,33],subscript:8,substanti:7,substract:2,successfulli:8,suffer:8,suit:7,sum:[1,2],superhuman:7,support:8,sure:2,surprisingli:7,surround:8,sutskev:7,sutskever2014:7,swap:[11,12],swizzl:7,synchron:[1,7],system:[0,3,7,8],t:[1,2,8],t_:8,taco:8,take:[3,6],taken:8,target:7,techniqu:[3,7,8],tempor:8,temporari:2,tend:8,tension:7,tensor:[1,2,3,7,8,9,34],tensorrt:7,test:[0,1,6],text:8,tflop:3,th:34,than:[2,7,8,33],thei:[3,7,8],them:1,themselv:3,theoret:2,therebi:8,therefor:3,theta:8,theta_:8,thi:[1,2,3,7,8,9,33],thing:1,think:2,those:2,though:[7,8],thread:[2,7],through:[4,8],throughout:[8,33],throughput:6,tile:8,time:[0,1,2,3,7,8,34],tiramisu:[7,8],tl:[1,2,3],tmp:0,tog:8,too:2,topic:8,torch:[1,2,3,9,34],torch_relu:3,total:[1,2,3,5],tradit:[7,8],transfer:2,transform:8,travers:8,trend:7,tri:[13,26],trick:2,trigger:3,triton:[0,1,2,3,4,7,8],trivial:7,tune:[2,3,8],tupl:[1,13,26,32],tutori:[1,2,3,6],tutorials_jupyt:4,tutorials_python:4,tvm:[7,8],twice:2,two:[1,2,3,8,10,14],type:[14,22,31,32],typecast:[16,29],typic:8,u:0,un:8,uncommon:8,underneath:8,understand:2,unfortun:[3,8],unifi:7,unint:31,unit:[0,7],univers:8,unrol:8,up:2,updat:[3,8],us:[1,2,3,7,8,9,31,33,35],util:1,v100:8,val:[11,12],valid:1,valu:[1,2,3,10,11,12,15,16,17,18,20,22,29,30,31,32,33,35],valuabl:2,variant:7,variou:4,vasilach:[7,8],vasilache2018:[7,8],vast:8,vec:8,vector:[4,5,7,8],vendor:3,veri:[2,8],verif:8,verifi:[2,8],via:[3,8],view:25,visibl:8,vision:7,vs:0,w:8,wai:[2,3],want:[2,31],warmup:34,warp:2,wast:2,we:[1,2,3,7,8],well:[7,8],wheel:0,when:[2,7,8,9,31],where:[3,8,29],whether:[7,33],which:[1,2,3,7,8,12,18,20,30,33],whose:[1,2,3,8,16],wide:8,width:3,wise:[1,2,15,17,19,21,27,28,29],wish:[3,8],within:[9,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],without:8,wolf:8,wolfe1989:8,won:2,word:8,work:[2,6,7],workload:3,wors:[7,8],would:2,wouldn:8,wrapper:3,write:[1,2,3,4,6,8],wrote:2,x:[1,2,3,8,15,17,19,21,25,27,28,31,33],x_log:[1,33],x_max:2,x_name:[1,2,3,33],x_val:[1,2,3,33],xi:8,xii:8,xlabel:33,xo:8,y:[1,2,3,8,19,21,31,33],y_log:33,y_name:[1,2],y_ref:2,y_tri:2,year:8,yet:[7,8],yi:8,yield:31,yii:8,ylabel:[1,2,3,33],yo:8,you:[0,1,2,3,4,7,31],your:[0,1,6],yourself:[2,3],z:[1,2,8],za:1,zb:1,zero:3,zip:4},titles:["Installation","Vector Addition","Fused Softmax","Matrix Multiplication","Tutorials","Computation times","Welcome to Triton\u2019s documentation!","Introduction","Related Work","triton.jit","triton.language.arange","triton.language.atomic_cas","triton.language.atomic_xchg","triton.language.broadcast_to","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.ravel","triton.language.reshape","triton.language.sigmoid","triton.language.softmax","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:8,algebra:37,api:6,arang:10,arithmet:3,atomic_ca:11,atomic_xchg:12,benchmark:[1,2,3,33],binari:0,broadcast_to:13,cach:3,challeng:7,comparison:37,compil:[8,37],comput:[1,2,3,5],creation:37,distribut:0,do_bench:34,document:6,dot:14,exp:15,from:0,further:6,fuse:2,get:6,go:6,hint:37,index:37,instal:0,introduct:7,jit:9,kernel:[1,2,3],l2:3,languag:[8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,37],limit:8,linear:37,load:16,log:17,manipul:37,math:37,matrix:3,max:18,maximum:19,memori:37,min:20,minimum:21,model:37,motiv:[2,3,7],multipl:3,multiple_of:22,num_program:23,op:37,optim:3,packag:0,perf_report:35,perform:3,pointer:3,polyhedr:8,program:[8,37],program_id:24,python:[0,6],ravel:25,reduct:37,refer:[7,8],relat:8,represent:8,reshap:26,result:3,s:6,schedul:8,shape:37,sigmoid:27,softmax:[2,28],sourc:0,squar:3,start:6,store:29,sum:30,test:[2,3,33,34,35,38],time:5,triton:[6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38],tutori:4,unit:[2,3],vector:1,welcom:6,where:31,work:8,zero:32}})
\ 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/index","getting-started/tutorials/sg_execution_times","index","programming-guide/chapter-1/introduction","programming-guide/chapter-2/related-work","python-api/generated/triton.jit","python-api/generated/triton.language.arange","python-api/generated/triton.language.atomic_cas","python-api/generated/triton.language.atomic_xchg","python-api/generated/triton.language.broadcast_to","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.ravel","python-api/generated/triton.language.reshape","python-api/generated/triton.language.sigmoid","python-api/generated/triton.language.softmax","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: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/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.jit.rst","python-api/generated/triton.language.arange.rst","python-api/generated/triton.language.atomic_cas.rst","python-api/generated/triton.language.atomic_xchg.rst","python-api/generated/triton.language.broadcast_to.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.ravel.rst","python-api/generated/triton.language.reshape.rst","python-api/generated/triton.language.sigmoid.rst","python-api/generated/triton.language.softmax.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.language":{arange:[10,0,1,""],atomic_cas:[11,0,1,""],atomic_xchg:[12,0,1,""],broadcast_to:[13,0,1,""],dot:[14,0,1,""],exp:[15,0,1,""],load:[16,0,1,""],log:[17,0,1,""],max:[18,0,1,""],maximum:[19,0,1,""],min:[20,0,1,""],minimum:[21,0,1,""],multiple_of:[22,0,1,""],num_programs:[23,0,1,""],program_id:[24,0,1,""],ravel:[25,0,1,""],reshape:[26,0,1,""],sigmoid:[27,0,1,""],softmax:[28,0,1,""],store:[29,0,1,""],sum:[30,0,1,""],where:[31,0,1,""],zeros:[32,0,1,""]},"triton.testing":{Benchmark:[33,1,1,""],do_bench:[34,0,1,""],perf_report:[35,0,1,""]},"triton.testing.Benchmark":{__init__:[33,2,1,""]},triton:{jit:[9,0,1,""]}},objnames:{"0":["py","function","Python function"],"1":["py","class","Python class"],"2":["py","method","Python method"]},objtypes:{"0":"py:function","1":"py:class","2":"py:method"},terms:{"0":[1,2,3,5,7,8,23,24,32,34],"00":5,"0000":3,"000001":[1,2],"000002":2,"01":[1,3,5],"019048":3,"02":[2,5],"021503":3,"025776":3,"028308":3,"03":[3,5],"038524":3,"043848":3,"051599":3,"056800":3,"0625":3,"066663":2,"066674":2,"079177":3,"08":5,"084721":1,"088676":3,"0938":3,"097543":2,"0f":8,"1":[1,2,3,6,8,23,24],"10":[1,3,5],"100":[2,34],"1024":[1,3],"1045":3,"1048576":1,"106321":3,"109587":3,"10mn":2,"11":[0,1,3],"1152":3,"12":[1,3,5],"120002":3,"12160":2,"121923":3,"122235":3,"12288":2,"12416":2,"12544":2,"126428":3,"12672":2,"127":1,"128":[2,3],"1280":3,"13":[1,3],"130429":2,"131072":1,"1328":3,"133347":2,"134217728":1,"138541":3,"14":[1,3],"1408":3,"142862":2,"142870":2,"149375":2,"15":[1,3],"1536":3,"153853":2,"16":[2,3,8,32],"16384":1,"164384":3,"166173":3,"1664":3,"16777216":1,"17":3,"171410":2,"1792":3,"179533":2,"18":3,"1823":2,"19":[1,3],"190482":1,"1920":3,"193289":3,"1983":7,"1984":8,"1989":8,"1991":[7,8],"1999":8,"1e":[1,2,3],"2":[1,2,3,6,8,23,24,34],"20":[3,34],"200000":1,"200001":3,"2004":8,"2006":8,"2012":8,"2013":7,"2014":7,"2016":[7,8],"2017":7,"2018":[7,8],"2019":8,"2021":[7,8],"2048":[2,3],"2097152":1,"21":3,"211821":3,"2141":1,"216187":2,"2176":3,"219":1,"22":3,"220":3,"23":3,"2304":3,"234154":3,"24":3,"2432":3,"245":3,"25":[3,34],"256":[2,3],"2560":3,"258068":2,"26":3,"260869":3,"262144":1,"263":[2,5],"264":2,"2656":3,"267":[2,5],"267542":3,"2688":3,"269":2,"27":3,"273":2,"278610":1,"28":[1,3],"2812":3,"2816":3,"2891":3,"29":3,"292871":2,"2944":3,"296679":3,"2d":[3,14],"2m":2,"2mn":2,"3":[0,1,2,3,8],"30":3,"301560":3,"302130":3,"304576":3,"305746":3,"3072":3,"3076":1,"31":[3,5],"3125":3,"315":[3,5],"32":3,"3200":3,"320498":3,"32768":1,"328":2,"3281":3,"329":2,"33":3,"3328":3,"33554432":1,"34":3,"3438":3,"3456":3,"3477":3,"3516":3,"3555":3,"3584":3,"359066":2,"36":3,"362445":1,"368085":3,"37":3,"3712":3,"3713":1,"372618":3,"372800":3,"38":1,"380953":3,"384":[1,2,3],"3840":3,"385141":3,"389265":2,"39":3,"3906":3,"391907":3,"3968":3,"3984":3,"3d":[23,24],"3mn":2,"3x":2,"4":[1,2,3,8],"40":3,"400001":1,"400016":1,"401342":3,"4023":3,"406":2,"4062":3,"4096":[1,2,3],"412":2,"415":2,"4194304":1,"420235":3,"428568":1,"428801":3,"429770":[1,2],"430545":3,"44":3,"442373":3,"442822":3,"446623":3,"4492":3,"4531":3,"455111":3,"46":3,"4609":3,"4688":3,"472":1,"472093":3,"473696":2,"473969":3,"483481":2,"49":3,"4940":1,"499895":3,"5":[1,3,8],"5000":3,"51":3,"512":[2,3],"512000":3,"516586":3,"52":3,"524288":1,"5312":3,"533074":3,"537273":3,"546":2,"550936":3,"552988":3,"56":3,"563555":3,"566925":3,"577704":1,"584279":3,"585":2,"5859":3,"5898":3,"5x":2,"6":[0,1,3],"600000":1,"602681":2,"606":2,"607513":3,"608000":3,"6094":3,"61":3,"614":1,"615390":1,"63":3,"630":2,"636381":3,"64":3,"640":[2,3],"65":3,"65536":1,"656000":3,"656574":1,"661740":2,"663603":3,"664":2,"666684":2,"67":3,"67108864":1,"671229":3,"6724":1,"68":3,"682":2,"684049":3,"689":[1,5],"69":3,"6953":3,"7":[0,1,3,8],"702":2,"7031":3,"7070":3,"71":3,"72":3,"722":1,"73":3,"730667":3,"737433":3,"74":3,"740048":3,"75":3,"7500":3,"76":[1,3],"764707":3,"768":[2,3],"768000":3,"77":3,"78":3,"780":1,"781":2,"783132":3,"7mn":2,"8":[1,2,3,8,32,34],"80":[3,34],"800002":1,"807647":3,"809":2,"81":3,"810":2,"811163":1,"812":[1,2],"814814":2,"8192":1,"82":3,"823517":1,"83":3,"833":1,"8388608":1,"84":3,"840807":2,"843":1,"848":1,"849":1,"849303":3,"85":3,"850":1,"851":1,"86":3,"868366":3,"87":3,"8828":3,"8867":3,"8906":3,"8945":3,"896":3,"898285":3,"899428":3,"9":[0,1,2,3],"900662":2,"91":3,"92":3,"9219":3,"925276":2,"93":[2,3],"932191":3,"9375":3,"939284":3,"94":2,"9492":3,"95":2,"9531":3,"953520":3,"96":2,"963875":3,"9688":3,"97":2,"971025":3,"971190":2,"9733":1,"978909":3,"98":2,"9805":3,"983276":3,"983980":3,"98432":1,"9844":3,"999995":1,"abstract":[7,8],"break":8,"byte":2,"case":[2,3,7,8,11],"class":[2,7,8,33],"default":34,"do":[2,3,7,8,16,29],"float":[2,7,8,34],"function":[1,2,3,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33,34,35],"import":[1,2,3,7,8],"int":[1,7,8,10,13,23,24,26,32,34],"new":[12,13,26,32],"return":[1,2,3,10,12,14,16,18,20,23,24,25,30,31,32,34,35],"static":[0,7,8],"super":3,"switch":3,"true":[1,2,3,31],"try":3,"var":8,"while":7,A:[3,7,8],And:[0,3],As:[2,3,7,8],At:8,By:34,For:[3,7,8],If:[8,29,31,33],In:[1,2,3,8],It:[1,3,4,6,8,9],Of:7,On:8,One:3,The:[1,2,3,7,8,11,12,13,14,23,24,26,29,31,35],These:8,To:[1,7,8],_:3,__expf:2,__init__:33,_add:1,_matmul:3,_softmax:2,a100:[3,8],ab:1,abl:8,about:[1,2,3,6],abov:[1,2,3,8],academ:7,acc:[3,7,8],acceler:7,accept:3,access:[1,7,8,9],accomod:3,accordingli:8,account:8,accumul:8,accuraci:7,achiev:[3,7,8],across:[7,8],activ:3,actual:[3,7,8],add:[1,5],addit:[2,4,5,7,34],addition:8,address:[2,7,16],adopt:8,advanc:7,advoc:8,affect:3,affin:8,against:[0,1,2,3,6],aggress:[7,8],agnost:[7,8],ahead:8,aim:[2,6],al:[7,8],algebra:8,algorithm:[3,7,8],alia:8,all:[2,3,4,7,8,18,20,22,30,33],allclos:[2,3],allen1984:8,allen:8,alloc:[1,2,3,7],allow:[1,2,7,8],almost:2,along:[1,18,20,23,24,30,34],also:[1,2,3,7,8],alwai:[8,31],amd:7,amen:8,amount:[2,7],ampl:8,an:[1,2,3,7,8,11],analog:1,analysi:[7,8],analyz:8,ancourt1991:8,ancourt:8,ani:[2,3,8,33],anoth:[2,8],apart:8,api:33,appear:33,appli:[7,8],applic:8,approach:[7,8],appropri:1,approxim:2,ar:[0,2,3,7,8,9,16,22,29,31,33],arang:[1,2,3],arbitrari:3,architectur:[3,7],area:8,arg:[1,2,3,33],argument:[1,2,3,9,31,33],arrai:[8,32],arrang:3,art:[7,8],arxiv:[7,8],ask:2,aspect:8,asplo:7,assert:3,assum:[2,33],asynchron:[1,7],atom:11,auguin1983:7,auguin:7,auto:[2,3,8],autom:7,automat:[2,3,7,8],autotun:[3,8],avail:[0,7,8],avoid:31,awar:7,axi:[1,2,3,18,20,23,24,30,33],b:[3,7,8],back:[1,2],baghdadi2021:[7,8],baghdadi:[7,8],balanc:8,bandwidth:2,base:[6,7,8],basic:[1,4,8],becom:7,been:[1,7,8],befor:3,begin:8,behavior:8,believ:8,below:[4,8],bench:0,benchmark:[0,34,35],benefit:[2,7,8],best:[1,7],better:3,between:[1,7],block:[1,2,3,7,8,11,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,32],block_k:3,block_m:3,block_n:3,block_siz:8,blue:[1,2,3],boil:8,bool:[31,33],both:[8,31],bound:[1,2,8],branch:8,broad:7,broadcast:[13,16,29,31],build:[0,3],builder:[10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],built:[1,8],c:[3,7,8],c_0:3,c_1:3,cach:[2,7,8],call:[1,3,8,9],callabl:[1,9,34],can:[0,1,2,3,7,8,35],cannot:[3,7,8],capabl:[6,7],cd:0,cdiv:[1,3],cgo:[7,8],chang:3,chapter:6,characterist:8,cheap:7,check:[3,6],chen2018:7,chen:7,chip:2,choic:6,cite:8,click:[1,2,3],clone:0,close:8,cmake:0,cmp:11,coalesc:7,code:[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],col:[2,8],color:33,column:[2,3],com:[0,8],combin:7,come:[2,3,8],command:0,common:8,commonli:8,compar:[2,3,6,8,11],compat:14,compil:[2,3,6,7,9,22],complet:8,complex:8,compos:7,composit:8,comprehens:[7,8],comput:[6,7,8,15,17,19,21,27,28],computation:[7,8],concern:8,concis:[1,33],condit:[8,31],config:3,configur:[3,35],connectom:7,consecut:8,consequ:7,consid:2,constraint:[3,8],construct:7,constructor:33,consum:3,contain:[8,11,12,33],contextu:8,contigu:[3,10,25],control:[7,8],conveni:3,convert:[1,9],convolut:7,copi:[7,11],core:[7,8],correct:1,correspond:[1,2,3,33],cost:8,could:[2,8],cours:7,cpython:0,creat:[1,2,3,7],csv:1,cubla:[3,7],cuda:[1,2,3,7],cudnn:7,current:24,custom:[1,2,3,6],cut:3,cvpr:7,d:[2,9],dart:8,darte1999:8,data:[1,2,3,7,8,16,31,32],data_ptr:9,dataflow:8,decad:7,declar:1,decompos:8,decor:[1,3,9],deep:[3,7,8],def:[1,2,3],defin:[1,2,3,8,16],definit:8,denom:2,denomin:2,denot:1,dens:8,depend:[0,8,31],deploi:7,describ:8,design:8,desir:[13,26],detail:8,detect:7,develop:[7,8],devic:[1,2,3],dialect:8,diesel:8,differ:[1,2,3,7,8,33],difficult:8,difficulti:[3,7],dijkstra82:8,dim:[2,8],dimens:[3,14,18,20,30],dimension:[3,8,14],dir:0,disjoint:8,disk:1,dissert:8,distribut:[2,8],dnn:[6,7,8],do_bench:[1,2,3],doe:[1,2,3,8],doesn:8,domain:[7,8],don:[1,2],done:[3,7,18,20,30],dot:3,doubli:3,doubt:8,down:8,download:[0,1,2,3,4],dram:2,dsl:[6,7,8],dtype:[1,2,3,11,12,16,29,32],e:[0,2,3,7,8,32],each:[1,2,3,7,8],eas:8,easi:3,easier:[1,2,7],easili:3,ed:[1,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],education:2,effect:8,effici:[3,7],effort:8,either:[1,23,24,31],elango2018:8,elango:8,element:[1,2,15,17,18,19,20,21,27,28,29,30,31,33],element_s:2,element_ti:[11,12,16,29],elementwis:[2,16],emerg:7,empti:3,empty_lik:[1,2],enabl:8,encod:8,end:[7,8,10],enforc:8,engin:8,enqueu:[1,2],ensur:8,entir:[2,8],environ:6,equal:8,especi:7,et:[7,8],euromicro:7,evalu:[3,31],even:[2,8],evidenc:7,evolv:7,exampl:[1,2,3,4,7,8],execut:[5,7,8,35],exist:[7,8],exp:2,expect:[2,11],expens:[7,8],explor:7,exponenti:[2,15],express:[7,8],extend:3,extract:3,extrem:8,f:[1,8],facilit:[7,8],fact:8,fairli:3,fals:[16,29,31,33],far:2,fast:[2,7,8],faster:2,fastest:8,feel:3,fetch:7,few:8,field:7,figur:8,file:[1,2,3,5],fill:32,first:[1,6,8,14,19,21],fit:2,fix:33,flag:2,flatten:25,flexibl:7,float16:[3,14,32],float32:[1,2,3,14],flow:[7,8],fn:[9,34],focu:[3,8],follow:[0,2,3,6,7,8],forget:1,formal:8,format:8,found:11,foundat:8,fp16:3,framework:[7,8],free:3,from:[2,3,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],full:[1,2,3],fulli:8,func:8,fundament:8,further:8,fuse:[3,4,5],fusion:[2,8],g:[3,7,8,32],galleri:[1,2,3,4],gb:[1,2],gbp:[1,2],gener:[1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33],geq:8,get:[1,2,5],girbal2006:8,girbal:8,git:0,github:0,give:7,given:[2,3,12,13,23,24,26,32],global:8,go:[1,3,8],good:[1,8],gpgpu:7,gpu:[1,2,6,7,8,9],grad_to_non:34,gradient:34,grammat:8,graphic:7,greater:2,green:[1,2,3],grid:[1,2,3,23,24],grid_m:3,grid_n:3,grosser2012:8,grosser:8,group:3,group_id:3,group_m:3,group_siz:3,grow:8,guard:[1,2],guess:2,guid:7,ha:[1,7,8,23,24],halid:[7,8],hand:8,handl:[1,2,3,8],handwritten:7,hard:3,harder:8,hardwar:[3,6,8],hasn:1,have:[2,7,8,9,14,31,33],heavi:7,helper:[1,2],henc:3,here:[1,2,3],heurist:2,hierarch:7,hierarchi:8,high:[3,7,8],highli:7,highlight:8,hint:8,hit:3,how:[1,2,3,6,7],howev:8,http:0,i:[1,2,3,7,8],id:[3,24],idea:7,ideal:2,ident:2,idx:[16,29],imag:[7,8],implement:[1,2,3,7,8],implicitli:[1,9,16,29],importantli:8,impos:8,improv:3,incompat:[3,8],increas:[1,2],incred:7,increment:8,inde:8,independ:8,index:[1,2],indic:[2,8,31],induc:8,industri:7,inequ:8,inf:2,inform:8,infrastructur:8,initi:3,inner:[3,14],inplac:3,input:[1,2,3,8,13,14,15,17,18,19,20,21,22,25,26,27,28,30],instal:6,instanc:[1,2,3,7,23,24],instead:[2,31],instruct:[6,7],int1:[16,29],integ:8,interchang:8,interest:[7,8],intermedi:8,intern:[2,8],interv:10,intrins:8,introduct:6,invari:8,ipynb:[1,2,3],ir:[8,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],irregular:[2,8],is_contigu:3,issu:[7,8],iter:[3,7,8],its:[1,2,8],j:[3,7,8],jit:[1,2,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],journal:8,jrk2013:7,jupyt:[1,2,3,4],just:[3,8],k:[3,7,8],kb:7,kei:[3,7],kellei:7,kernel:[6,7],keyword:1,ki:8,kind:2,know:22,known:8,label:[1,2,3,33],lam1991:7,lam:7,lambda:[1,2,3],languag:[1,2,3,6,7,9],larg:[2,7,8],later:[2,8],latest:0,lattner2004:8,lattner2019:8,lattner:8,launch:[1,2,3,23,24],law:8,layer:[7,8],lead:[7,8],leaky_relu:3,leakyrelu:3,learn:[1,2,3,6,7,8],least:8,lee2017:7,lee:7,left:8,legal:8,less:[7,8],let:[1,2,22],letter:8,level:[3,7,8],li:7,librari:[0,3,7,8],lifelong:8,like:[1,7,8],limit:2,line:[1,2,3,8,33],line_arg:[1,2,3,33],line_nam:[1,2,3,33],line_v:[1,2,3,33],linear:[7,8],link:0,list:[3,33,34,35],litteratur:8,llvm11:0,llvm:[0,8],load:[1,2,3,8,31],local:[7,8],locat:[3,11,12,16,29],log:33,logarithm:[1,17],look:[2,6,7],loop:[3,8],low:8,m:[0,2,3,7],machin:[7,8],machineri:[7,8],made:7,mai:8,main:[3,7,8],maintain:[2,8],major:[3,8],make:[1,2,7,8],manag:7,mani:[7,8],manual:[2,8],manual_se:[1,2,3],mapl:8,mark:35,markedli:7,mask:[1,2,3,16,29,31],match:11,mathbb:8,mathbf:8,mathcal:8,mathemat:8,matmul:[3,8],matric:[2,3],matrix:[2,4,5,7,8,14],matrix_s:8,matter:[3,7,8],max:[1,2],max_m:[1,2,3],maxim:[6,8],maximum:[1,2,18],mb:[5,7],mean:[2,3,8],mechan:[2,8],median:34,memori:[1,2,3,7,8,11,12,16,29,31],mention:3,meta:[1,2,3],metaparamet:[1,3],method:[8,9,33,35],methodolog:8,micro:7,min:3,min_m:[1,2,3],minimum:20,minut:[1,2,3],miss:8,mitig:8,ml:7,mlir:8,mn:2,model:[1,7,8],modern:[3,6,7,8],modular:8,moor:8,more:[2,6,7,8,33],most:[3,8],ms:[1,2,3,34],mullapudi2016:8,mullapudi:8,multi:[3,7,8],multipl:[4,5,7,8,22],multipli:[8,14],must:[2,3,10,14,31],my:2,n:[1,2,3,7],naiv:2,naive_softmax:2,name:[1,2,3,33],nativ:[1,2,3],natur:[2,7,17],nb:7,necessari:2,need:[2,3],nelement:2,nest:[3,8],net:8,network:[7,8],neural:[7,8],neurosci:7,next:[2,3],next_power_of_2:2,nightli:0,nip:7,nn:3,non:7,none:[2,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33,34],nonzero:31,normal:[2,3],note:[0,1,2,8,9,31],notebook:[1,2,3,4],notic:8,notori:[3,7],novel:7,now:[1,3],num:2,num_stag:3,num_warp:[2,3],number:[1,2,8,23],numer:[2,7],nvidia:7,object:[1,3,7,9,11],obtain:1,obvious:2,occur:8,offer:7,offici:0,offset:1,often:3,old:12,omega:8,onc:[2,7,8],one:[2,4,7,8,33],onli:[2,3,7,8,9],op:[1,2],open:10,openai:0,opencl:7,oper:[1,2,3,4,7,31],operand:3,opportun:7,opsila:7,optim:[7,8],option:[1,3,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32,33,34],order:[3,4,8],origin:8,osdi:7,other:[2,3,6,8,9,14,16,19,21],otherwis:31,our:[1,2,3,7],out:[1,2,3,6,8],outlin:8,output:[1,2,3],over:[2,7,8],p:8,pa:3,packag:9,pact:8,pad:2,par:3,paradigm:[7,8],parallel:[1,3,6,7,8],paralleliz:7,param:22,paramet:[1,3,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35],parametr:7,part:[3,8],partial:2,particular:2,particularli:[7,8],partit:7,pass:[1,8],past:[7,8],path:1,pattern:7,pb:3,peak:8,per:2,percentil:34,perf:3,perf_report:[1,2,3,33],perform:[1,2,7,8,11,34],pgm:3,phase:8,philosophi:8,pid:[1,3],pid_m:3,pid_n:3,pip:0,pipelin:[7,8],platform:[6,8],pldi:7,plot:[0,1,2,3,33],plot_nam:[1,2,3,33],pmatrix:8,point:[1,8],pointer:[1,9,11,12,16,29],pointerdtyp:[11,12,16,29],polli:8,polyhedr:7,polyhedra:8,popular:8,portabl:[7,8],pose:7,possibl:[1,2,3,8],power:[2,8,10],ppopp:8,practic:[1,2,3,7],pragma:7,pre:[0,7],predict:8,prefer:2,premis:7,present:[0,3],preserv:8,prevent:8,primer:8,primit:[7,9],principl:8,print:[1,2,3],print_data:[1,2,3],probabl:8,problem:1,problemat:8,procedur:8,process:[1,7,8],processor:7,product:[6,8,14],program:[1,2,3,6,7,23,24],program_id:[1,2,3],programm:[7,8],project:7,promot:[3,8],properli:2,properti:8,propos:7,proprietari:3,provid:[1,2,3,6,8,18,20,30,34],pseudo:3,purpos:[7,8],push:8,putat:8,py:[0,1,2,3,5],pypi:0,pytest:0,python:[1,2,3,4,9],pytorch:[1,2],qquad:8,r:2,ragan:7,rand:1,randn:[2,3],rang:[1,2,3,7,8],rapidli:[7,8],rate:3,rather:7,raw:1,rdom:8,re:[1,3],read:[2,3,4],reader:8,real:7,reason:8,recent:7,recommend:4,recomput:7,rectifi:7,redmon2016:7,redmon:7,reduct:[2,18,20,30],refer:1,regardless:31,regist:3,regrett:7,regular:8,rel:[1,8],relat:6,releas:[0,7],reli:8,relu:3,remain:[7,33],remateri:3,rememb:3,reorder:8,rep:34,repetit:34,repres:8,requir:[2,8],research:[7,8],reset:34,resolut:8,resourc:7,resp:8,respect:8,restrict:8,result:[0,1,2,7,8],ret:2,retriev:8,reus:3,revisit:7,right:8,rise:8,rk:3,rm:3,rn:3,roughli:3,row:[2,3],run:[0,1,2,3,6,8,9,35],runtim:[8,34],rvar:8,s:[1,2,8],said:8,same:[7,33],sato2019:8,sato:8,save:[1,2,3],save_path:1,sc:8,scalabl:8,scalar:[7,14,32],scale:33,scan:8,schedul:7,scienc:8,scop:8,scope:8,script:[0,1,2,3],second:[1,2,3,8,14,19,21],section:8,see:[1,2,8],seem:[1,8],select:[7,31],self:33,semant:8,semi:8,sens:[1,7,8],separ:8,sequenc:7,set:[1,8],setup:0,sever:[7,8],shall:8,shape:[1,2,3,8,13,16,26,29,31,32],share:7,should:[7,8,18,20,30,33],show_plot:[1,2,3],shown:8,side:8,sight:8,signal:7,significantli:2,sigplan:8,simd:7,simpl:[1,2,3],simplest:4,simpli:8,sinc:[1,3],singl:7,size:[1,2,8],slower:[7,8],slowest:8,sm:8,smallest:2,snemi3d:7,so:[2,3,8],softmax:[4,5],solid:8,solut:3,solv:8,some:3,sometim:8,sourc:[1,2,3,4,8],space:[7,8],spars:[7,8],spatial:8,speak:3,special:7,specif:[3,7],specifi:[8,11,29],speed:2,sphinx:[1,2,3,4],split:8,spmd:[1,7,8],sram:2,stabil:2,stabl:0,standard:8,start:[4,10],started_tutori:5,state:[7,8],statement:8,step:8,still:[1,2,8],stop:10,store:[1,2,3,12,31],str:33,straightforward:3,strategi:8,strength:7,stride:[2,3],stride_a_0:3,stride_a_1:3,stride_ak:3,stride_am:3,stride_b_0:3,stride_b_1:3,stride_bk:3,stride_bn:3,stride_cm:3,stride_cn:3,stride_x_0:3,stride_x_1:3,stride_xm:2,stride_ym:2,structur:[7,8],style:[1,2,3,33],subscript:8,substanti:7,substract:2,successfulli:8,suffer:8,suit:7,sum:[1,2],superhuman:7,support:8,sure:2,surprisingli:7,surround:8,sutskev:7,sutskever2014:7,swap:[11,12],swizzl:7,synchron:[1,7],system:[0,3,7,8],t:[1,2,8],t_:8,taco:8,take:[3,6],taken:8,target:7,techniqu:[3,7,8],tempor:8,temporari:2,tend:8,tension:7,tensor:[1,2,3,7,8,9,34],tensorrt:7,test:[0,1,6],text:8,tflop:3,th:34,than:[2,7,8,33],thei:[3,7,8],them:1,themselv:3,theoret:2,therebi:8,therefor:3,theta:8,theta_:8,thi:[1,2,3,7,8,9,33],thing:1,think:2,those:2,though:[7,8],thread:[2,7],through:[4,8],throughout:[8,33],throughput:6,tile:8,time:[0,1,2,3,7,8,34],tiramisu:[7,8],tl:[1,2,3],tmp:0,tog:8,too:2,topic:8,torch:[1,2,3,9,34],torch_relu:3,total:[1,2,3,5],tradit:[7,8],transfer:2,transform:8,travers:8,trend:7,tri:[13,26],trick:2,trigger:3,triton:[0,1,2,3,4,7,8],trivial:7,tune:[2,3,8],tupl:[1,13,26,32],tutori:[1,2,3,6],tutorials_jupyt:4,tutorials_python:4,tvm:[7,8],twice:2,two:[1,2,3,8,10,14],type:[14,22,31,32],typecast:[16,29],typic:8,u:0,un:8,uncommon:8,underneath:8,understand:2,unfortun:[3,8],unifi:7,unint:31,unit:[0,7],univers:8,unrol:8,up:2,updat:[3,8],us:[1,2,3,7,8,9,31,33,35],util:1,v100:8,val:[11,12],valid:1,valu:[1,2,3,10,11,12,15,16,17,18,20,22,29,30,31,32,33,35],valuabl:2,variant:7,variou:4,vasilach:[7,8],vasilache2018:[7,8],vast:8,vec:8,vector:[4,5,7,8],vendor:3,veri:[2,8],verif:8,verifi:[2,8],via:[3,8],view:25,visibl:8,vision:7,vs:0,w:8,wai:[2,3],want:[2,31],warmup:34,warp:2,wast:2,we:[1,2,3,7,8],well:[7,8],wheel:0,when:[2,7,8,9,31],where:[3,8,29],whether:[7,33],which:[1,2,3,7,8,12,18,20,30,33],whose:[1,2,3,8,16],wide:8,width:3,wise:[1,2,15,17,19,21,27,28,29],wish:[3,8],within:[9,10,11,12,13,14,15,16,17,18,20,22,23,24,26,29,30,31,32],without:8,wolf:8,wolfe1989:8,won:2,word:8,work:[2,6,7],workload:3,wors:[7,8],would:2,wouldn:8,wrapper:3,write:[1,2,3,4,6,8],wrote:2,x:[1,2,3,8,15,17,19,21,25,27,28,31,33],x_log:[1,33],x_max:2,x_name:[1,2,3,33],x_val:[1,2,3,33],xi:8,xii:8,xlabel:33,xo:8,y:[1,2,3,8,19,21,31,33],y_log:33,y_name:[1,2],y_ref:2,y_tri:2,year:8,yet:[7,8],yi:8,yield:31,yii:8,ylabel:[1,2,3,33],yo:8,you:[0,1,2,3,4,7,31],your:[0,1,6],yourself:[2,3],z:[1,2,8],za:1,zb:1,zero:3,zip:4},titles:["Installation","Vector Addition","Fused Softmax","Matrix Multiplication","Tutorials","Computation times","Welcome to Triton\u2019s documentation!","Introduction","Related Work","triton.jit","triton.language.arange","triton.language.atomic_cas","triton.language.atomic_xchg","triton.language.broadcast_to","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.ravel","triton.language.reshape","triton.language.sigmoid","triton.language.softmax","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:8,algebra:37,api:6,arang:10,arithmet:3,atomic_ca:11,atomic_xchg:12,benchmark:[1,2,3,33],binari:0,broadcast_to:13,cach:3,challeng:7,comparison:37,compil:[8,37],comput:[1,2,3,5],creation:37,distribut:0,do_bench:34,document:6,dot:14,exp:15,from:0,further:6,fuse:2,get:6,go:6,hint:37,index:37,instal:0,introduct:7,jit:9,kernel:[1,2,3],l2:3,languag:[8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,37],limit:8,linear:37,load:16,log:17,manipul:37,math:37,matrix:3,max:18,maximum:19,memori:37,min:20,minimum:21,model:37,motiv:[2,3,7],multipl:3,multiple_of:22,num_program:23,op:37,optim:3,packag:0,perf_report:35,perform:3,pointer:3,polyhedr:8,program:[8,37],program_id:24,python:[0,6],ravel:25,reduct:37,refer:[7,8],relat:8,represent:8,reshap:26,result:3,s:6,schedul:8,shape:37,sigmoid:27,softmax:[2,28],sourc:0,squar:3,start:6,store:29,sum:30,test:[2,3,33,34,35,38],time:5,triton:[6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38],tutori:4,unit:[2,3],vector:1,welcom:6,where:31,work:8,zero:32}})
\ No newline at end of file