From 91d91c6ec0045e858dc877e6db2686ee77585ae7 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andrzej=20W=C3=B3jtowicz?= Date: Thu, 26 May 2016 19:30:19 +0200 Subject: [PATCH] updated readme (first results) --- .gitignore | 2 +- README.md | 1714 +++++++++++++++++++++++++++++++- gen/data/benchmark.results.rds | Bin 0 -> 17857 bytes gen/data/hosts.info.rds | Bin 0 -> 280 bytes gen/img/img_ph_h1_b1_t1.png | Bin 0 -> 4170 bytes gen/img/img_ph_h1_b1_t2.png | Bin 0 -> 4219 bytes gen/img/img_ph_h1_b1_t3.png | Bin 0 -> 4188 bytes gen/img/img_ph_h1_b1_t4.png | Bin 0 -> 4339 bytes gen/img/img_ph_h1_b1_t5.png | Bin 0 -> 4248 bytes gen/img/img_ph_h1_b1_t6.png | Bin 0 -> 4236 bytes gen/img/img_ph_h1_b1_t7.png | Bin 0 -> 3968 bytes gen/img/img_ph_h1_b2_t1.png | Bin 0 -> 4358 bytes gen/img/img_ph_h1_b2_t2.png | Bin 0 -> 4170 bytes gen/img/img_ph_h1_b2_t3.png | Bin 0 -> 4428 bytes gen/img/img_ph_h1_b2_t4.png | Bin 0 -> 4302 bytes gen/img/img_ph_h1_b2_t5.png | Bin 0 -> 4499 bytes gen/img/img_ph_h1_b3_t1.png | 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gen/img/img_pl_l8_b3_t3b.png create mode 100644 gen/img/img_pl_l8_b3_t4.png create mode 100644 gen/img/img_pl_l8_b3_t4b.png diff --git a/.gitignore b/.gitignore index 44e463e..27de307 100644 --- a/.gitignore +++ b/.gitignore @@ -19,5 +19,5 @@ vignettes/*.pdf cpuinfo hosts-list.txt ssh/rsa.key -*.rds +results/*.rds *.html diff --git a/README.md b/README.md index 6774470..8b5ff48 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,1714 @@ -# blasbenchmarks +# BLAS libraries benchmarks +Andrzej Wójtowicz + +Document generation date: 2016-05-26 19:23:05 + + + +## Table of Contents + + 1. [Configuration](#configuration) + 2. [Results per host](#results-per-host) + * [Intel Core i5-4590 + NVIDIA GeForce GT 430](#intel-core-i5-4590-nvidia-geforce-gt-430) + * [Intel Core i5-3570](#intel-core-i5-3570) + * [Intel Core i3-2120](#intel-core-i3-2120) + * [Intel Core i3-3120M](#intel-core-i3-3120m) + 3. [Results per library](#results-per-library) + * [Netlib](#netlib) + * [Atlas (st)](#atlas-st) + * [OpenBLAS](#openblas) + * [Atlas (mt)](#atlas-mt) + * [GotoBLAS2](#gotoblas2) + * [MKL](#mkl) + * [BLIS](#blis) + +*** + +## Configuration + +**R software**: [Microsoft R Open](https://mran.microsoft.com/open/). + +**Libraries**: + +|CPU (single-threaded)|CPU (multi-threaded)|GPU| +|---|---|---| +|[Netlib](http://www.netlib.org/) (debian package)|[OpenBLAS](http://www.openblas.net/) (debian package)|[NVIDIA cuBLAS](https://developer.nvidia.com/cublas) (NVBLAS + Intel MKL)| +|[ATLAS](http://math-atlas.sourceforge.net/) (debian package)|[ATLAS](http://math-atlas.sourceforge.net/) (dev branch)| | +| |[GotoBLAS2](https://prs.ism.ac.jp/~nakama/SurviveGotoBLAS2/) (Survive fork)| | +| |[Intel MKL](https://mran.microsoft.com/download/) (part of Microsoft R Open)| | +| |[BLIS](https://github.com/flame/blis)| | + +**Hosts**: + +|No.|CPU|GPU| +|---|---|---| +|1.|[Intel Core i5-4590](http://ark.intel.com/products/80815/Intel-Core-i5-4590-Processor-6M-Cache-up-to-3_70-GHz)|[NVIDIA GeForce GT 430](http://www.geforce.com/hardware/desktop-gpus/geforce-gt-430/specifications)| +|2.|[Intel Core i5-3570](http://ark.intel.com/products/65702/Intel-Core-i5-3570-Processor-6M-Cache-up-to-3_80-GHz)| - | +|3.|[Intel Core i3-2120](http://ark.intel.com/products/53426/Intel-Core-i3-2120-Processor-3M-Cache-3_30-GHz)| - | +|4.|[Intel Core i3-3120M](http://ark.intel.com/products/71465/Intel-Core-i3-3120M-Processor-3M-Cache-2_50-GHz)| - | + +**Benchmarks**: [Urbanek](http://r.research.att.com/benchmarks/R-benchmark-25.R), [Revolution](https://gist.github.com/andrie/24c9672f1ea39af89c66#file-rro-mkl-benchmark-r), [Gcbd](https://cran.r-project.org/web/packages/gcbd/vignettes/gcbd.pdf). + + + + + +# Results per host + +## Intel Core i5-4590 + NVIDIA GeForce GT 430 + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h1_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h1_b3_t1.png)![](gen/img/img_ph_h1_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h1_b3_t2.png)![](gen/img/img_ph_h1_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h1_b3_t3.png)![](gen/img/img_ph_h1_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h1_b3_t4.png)![](gen/img/img_ph_h1_b3_t4b.png) + + + +## Intel Core i5-3570 + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h2_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h2_b3_t1.png)![](gen/img/img_ph_h2_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h2_b3_t2.png)![](gen/img/img_ph_h2_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h2_b3_t3.png)![](gen/img/img_ph_h2_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h2_b3_t4.png)![](gen/img/img_ph_h2_b3_t4b.png) + + + +## Intel Core i3-2120 + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h3_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h3_b3_t1.png)![](gen/img/img_ph_h3_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h3_b3_t2.png)![](gen/img/img_ph_h3_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h3_b3_t3.png)![](gen/img/img_ph_h3_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h3_b3_t4.png)![](gen/img/img_ph_h3_b3_t4b.png) + + + +## Intel Core i3-3120M + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_ph_h4_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h4_b3_t1.png)![](gen/img/img_ph_h4_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h4_b3_t2.png)![](gen/img/img_ph_h4_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h4_b3_t3.png)![](gen/img/img_ph_h4_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_ph_h4_b3_t4.png)![](gen/img/img_ph_h4_b3_t4b.png) + + + + +# Results per library + +## Netlib + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l1_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l1_b3_t1.png)![](gen/img/img_pl_l1_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l1_b3_t2.png)![](gen/img/img_pl_l1_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l1_b3_t3.png)![](gen/img/img_pl_l1_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l1_b3_t4.png)![](gen/img/img_pl_l1_b3_t4b.png) + + + +## ATLAS (st) + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l2_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l2_b3_t1.png)![](gen/img/img_pl_l2_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l2_b3_t2.png)![](gen/img/img_pl_l2_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l2_b3_t3.png)![](gen/img/img_pl_l2_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l2_b3_t4.png)![](gen/img/img_pl_l2_b3_t4b.png) + + + +## OpenBLAS + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l3_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l3_b3_t1.png)![](gen/img/img_pl_l3_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l3_b3_t2.png)![](gen/img/img_pl_l3_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l3_b3_t3.png)![](gen/img/img_pl_l3_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l3_b3_t4.png)![](gen/img/img_pl_l3_b3_t4b.png) + + + +## ATLAS (mt) + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l4_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l4_b3_t1.png)![](gen/img/img_pl_l4_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l4_b3_t2.png)![](gen/img/img_pl_l4_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l4_b3_t3.png)![](gen/img/img_pl_l4_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l4_b3_t4.png)![](gen/img/img_pl_l4_b3_t4b.png) + + + +## GotoBLAS2 + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l5_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l5_b3_t1.png)![](gen/img/img_pl_l5_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l5_b3_t2.png)![](gen/img/img_pl_l5_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l5_b3_t3.png)![](gen/img/img_pl_l5_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l5_b3_t4.png)![](gen/img/img_pl_l5_b3_t4b.png) + + + +## MKL + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l6_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l6_b3_t1.png)![](gen/img/img_pl_l6_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l6_b3_t2.png)![](gen/img/img_pl_l6_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l6_b3_t3.png)![](gen/img/img_pl_l6_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l6_b3_t4.png)![](gen/img/img_pl_l6_b3_t4b.png) + + + +## BLIS + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l7_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l7_b3_t1.png)![](gen/img/img_pl_l7_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l7_b3_t2.png)![](gen/img/img_pl_l7_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l7_b3_t3.png)![](gen/img/img_pl_l7_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l7_b3_t4.png)![](gen/img/img_pl_l7_b3_t4b.png) + + + +## cuBLAS + + + +### Urbanek benchmark + +#### 2800x2800 cross-product matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t1.png) + + + +#### Linear regr. over a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t2.png) + + + +#### Eigenvalues of a 640x640 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t3.png) + + + +#### Determinant of a 2500x2500 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t4.png) + + + +#### Cholesky decomposition of a 3000x3000 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t5.png) + + + +#### Inverse of a 1600x1600 random matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t6.png) + + + +#### Escoufier's method on a 45x45 matrix + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b1_t7.png) + + + +### Revolution benchmark + +#### Matrix Multiply + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b2_t1.png) + + + +#### Cholesky Factorization + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b2_t2.png) + + + +#### Singular Value Deomposition + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b2_t3.png) + + + +#### Principal Components Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b2_t4.png) + + + +#### Linear Discriminant Analysis + +Time in seconds - 10 runs - lower is better + +![](gen/img/img_pl_l8_b2_t5.png) + + + +### Gcbd benchmark + +#### Matrix Multiply + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l8_b3_t1.png)![](gen/img/img_pl_l8_b3_t1b.png) + + + +#### QR Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l8_b3_t2.png)![](gen/img/img_pl_l8_b3_t2b.png) + + + +#### Singular Value Deomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l8_b3_t3.png)![](gen/img/img_pl_l8_b3_t3b.png) + + + +#### Triangular Decomposition + +Time in seconds regarding matrix size - right panel on log scale - from 50 to 5 runs - lower is better + +![](gen/img/img_pl_l8_b3_t4.png)![](gen/img/img_pl_l8_b3_t4b.png) diff --git a/gen/data/benchmark.results.rds b/gen/data/benchmark.results.rds new file mode 100644 index 0000000000000000000000000000000000000000..987f529f761fba99749e545f5f0399eb79844782 GIT binary patch literal 17857 zcmcG!S6q`pv@c3WdQ*@ZP>P6vO0S{!Dk{>&LhnU-0wN+J1f@$a0#Zdls>{bv3%v)0VR%=)hdh`&MdpC1)EoI3c{%t zsb8gPCR(-joh9sYNnQ^X<+U8L?{cpEbbGp8ZO*$XhC#90D3sge4L!=iJv~@BU*#yD 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