# 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)