HPL.out
Contents
First attempt
This attempt is the first run I did. It probably needs tuning because it SUCKS! This is the result I received with the use of VSIPL as the math libraries. I am now working on getting BLAS installed to test against those instead.
==Second Attempt== <pre> ============================================================================ HPLinpack 1.0a -- High-Performance Linpack benchmark -- January 20, 2004 Written by A. Petitet and R. Clint Whaley, Innovative Computing Labs., UTK ============================================================================ An explanation of the input/output parameters follows: T/V : Wall time / encoded variant. N : The order of the coefficient matrix A. NB : The partitioning blocking factor. P : The number of process rows. Q : The number of process columns. Time : Time in seconds to solve the linear system. Gflops : Rate of execution for solving the linear system. The following parameter values will be used: N : 8192 NB : 16 PMAP : Row-major process mapping P : 1 Q : 1 PFACT : Left Crout Right NBMIN : 2 4 NDIV : 2 RFACT : Left Crout Right BCAST : 1ring DEPTH : 0 SWAP : Mix (threshold = 64) L1 : transposed form U : transposed form EQUIL : yes ALIGN : 8 double precision words ---------------------------------------------------------------------------- - The matrix A is randomly generated for each test. - The following scaled residual checks will be computed: 1) ||Ax-b||_oo / ( eps * ||A||_1 * N ) 2) ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) 3) ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) - The relative machine precision (eps) is taken to be 1.110223e-16 - Computational tests pass if scaled residuals are less than 16.0 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR00L2L2 8192 16 1 1 1554.50 2.358e-01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625347 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263812 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043538 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR00L2L4 8192 16 1 1 1546.80 2.370e-01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625347 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263812 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043538 ...... PASSED
Third Attempt
============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR00L2L2 8192 32 1 1 1203.06 3.047e-01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0597090 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0251891 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0041571 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR00L2L4 8192 32 1 1 1202.94 3.048e-01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0597090 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0251891 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0041571 ...... PASSED
Fourth Attempt
================================================================
An explanation of the input/output parameters follows: T/V : Wall time / encoded variant. N : The order of the coefficient matrix A. NB : The partitioning blocking factor. P : The number of process rows. Q : The number of process columns. Time : Time in seconds to solve the linear system. Gflops : Rate of execution for solving the linear system.
The following parameter values will be used:
N : 8192 NB : 16 PMAP : Row-major process mapping P : 1 Q : 1 PFACT : Left Crout Right NBMIN : 2 4 NDIV : 2 RFACT : Left Crout Right BCAST : 1ring DEPTH : 0 SWAP : Mix (threshold = 64) L1 : transposed form U : transposed form EQUIL : yes ALIGN : 8 double precision words
- The matrix A is randomly generated for each test. - The following scaled residual checks will be computed:
1) ||Ax-b||_oo / ( eps * ||A||_1 * N ) 2) ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) 3) ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo )
- The relative machine precision (eps) is taken to be 1.110223e-16 - Computational tests pass if scaled residuals are less than 16.0
================================================================
T/V N NB P Q Time Gflops
WR00L2L2 8192 16 1 1 8794.08 4.169e-02
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0522414 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0220388 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0036372 ...... PASSED
================================================================
T/V N NB P Q Time Gflops
WR00L2L4 8192 16 1 1 8676.29 4.225e-02
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0522414 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0220388 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0036372 ...... PASSED
Second Attempt
============================================================================ HPLinpack 1.0a -- High-Performance Linpack benchmark -- January 20, 2004 Written by A. Petitet and R. Clint Whaley, Innovative Computing Labs., UTK ============================================================================ An explanation of the input/output parameters follows: T/V : Wall time / encoded variant. N : The order of the coefficient matrix A. NB : The partitioning blocking factor. P : The number of process rows. Q : The number of process columns. Time : Time in seconds to solve the linear system. Gflops : Rate of execution for solving the linear system. The following parameter values will be used: N : 8192 NB : 16 PMAP : Row-major process mapping P : 1 Q : 1 PFACT : Left Crout Right NBMIN : 2 4 NDIV : 2 RFACT : Left Crout Right BCAST : 1ring DEPTH : 0 SWAP : Mix (threshold = 64) L1 : transposed form U : transposed form EQUIL : yes ALIGN : 8 double precision words ---------------------------------------------------------------------------- - The matrix A is randomly generated for each test. - The following scaled residual checks will be computed: 1) ||Ax-b||_oo / ( eps * ||A||_1 * N ) 2) ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) 3) ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) - The relative machine precision (eps) is taken to be 1.110223e-16 - Computational tests pass if scaled residuals are less than 16.0 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR00L2L2 8192 16 1 1 1554.50 2.358e-01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625347 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263812 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043538 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR00L2L4 8192 16 1 1 1546.80 2.370e-01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625347 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263812 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043538 ...... PASSED
