============================================================================ 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 : 5000 10000 15000 20000 25000 NB : 50 100 150 200 250 300 PMAP : Row-major process mapping P : 3 Q : 4 PFACT : Crout NBMIN : 4 NDIV : 2 RFACT : Right BCAST : 2ringM DEPTH : 0 SWAP : Mix (threshold = 64) L1 : transposed form U : transposed form EQUIL : yes ALIGN : 16 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 ---------------------------------------------------------------------------- WR03R2C4 5000 50 3 4 22.62 3.686e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 1.21 + Max aggregated wall time pfact . . : 1.03 + Max aggregated wall time mxswp . . : 0.97 Max aggregated wall time update . . : 18.09 + Max aggregated wall time laswp . . : 2.52 Max aggregated wall time up tr sv . : 0.05 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0316815 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0209146 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0040825 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 5000 100 3 4 20.09 4.149e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 1.06 + Max aggregated wall time pfact . . : 0.79 + Max aggregated wall time mxswp . . : 0.71 Max aggregated wall time update . . : 15.20 + Max aggregated wall time laswp . . : 2.64 Max aggregated wall time up tr sv . : 0.04 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0304803 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0201216 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0039277 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 5000 150 3 4 21.70 3.843e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 1.35 + Max aggregated wall time pfact . . : 0.93 + Max aggregated wall time mxswp . . : 0.85 Max aggregated wall time update . . : 15.47 + Max aggregated wall time laswp . . : 2.80 Max aggregated wall time up tr sv . : 0.04 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0301379 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0198955 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0038836 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 5000 200 3 4 22.48 3.708e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 1.74 + Max aggregated wall time pfact . . : 1.23 + Max aggregated wall time mxswp . . : 1.12 Max aggregated wall time update . . : 16.00 + Max aggregated wall time laswp . . : 2.77 Max aggregated wall time up tr sv . : 0.06 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0360642 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0238078 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0046473 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 5000 250 3 4 24.94 3.343e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 2.02 + Max aggregated wall time pfact . . : 1.54 + Max aggregated wall time mxswp . . : 1.45 Max aggregated wall time update . . : 17.21 + Max aggregated wall time laswp . . : 3.14 Max aggregated wall time up tr sv . : 0.07 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0332896 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0219762 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042897 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 5000 300 3 4 25.19 3.310e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 2.15 + Max aggregated wall time pfact . . : 1.54 + Max aggregated wall time mxswp . . : 1.44 Max aggregated wall time update . . : 15.78 + Max aggregated wall time laswp . . : 2.83 Max aggregated wall time up tr sv . : 0.07 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0285272 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0188323 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0036760 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 10000 50 3 4 138.57 4.812e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 4.67 + Max aggregated wall time pfact . . : 3.92 + Max aggregated wall time mxswp . . : 3.68 Max aggregated wall time update . . : 120.53 + Max aggregated wall time laswp . . : 10.88 Max aggregated wall time up tr sv . : 0.11 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0728570 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0172401 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0038535 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 10000 100 3 4 123.04 5.419e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 3.14 + Max aggregated wall time pfact . . : 2.08 + Max aggregated wall time mxswp . . : 1.81 Max aggregated wall time update . . : 108.22 + Max aggregated wall time laswp . . : 11.37 Max aggregated wall time up tr sv . : 0.10 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0807690 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0191124 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042720 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 10000 150 3 4 128.68 5.182e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 4.77 + Max aggregated wall time pfact . . : 3.27 + Max aggregated wall time mxswp . . : 2.96 Max aggregated wall time update . . : 107.53 + Max aggregated wall time laswp . . : 11.34 Max aggregated wall time up tr sv . : 0.09 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0751599 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0177851 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0039753 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 10000 200 3 4 126.38 5.276e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 5.45 + Max aggregated wall time pfact . . : 3.60 + Max aggregated wall time mxswp . . : 3.23 Max aggregated wall time update . . : 105.03 + Max aggregated wall time laswp . . : 11.47 Max aggregated wall time up tr sv . : 0.11 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0795256 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0188181 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042062 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 10000 250 3 4 137.78 4.840e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 7.42 + Max aggregated wall time pfact . . : 5.16 + Max aggregated wall time mxswp . . : 4.76 Max aggregated wall time update . . : 113.51 + Max aggregated wall time laswp . . : 11.49 Max aggregated wall time up tr sv . : 0.12 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0722928 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0171066 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0038237 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 10000 300 3 4 134.98 4.940e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 6.65 + Max aggregated wall time pfact . . : 3.84 + Max aggregated wall time mxswp . . : 3.45 Max aggregated wall time update . . : 106.57 + Max aggregated wall time laswp . . : 11.54 Max aggregated wall time up tr sv . : 0.11 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0694858 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0164424 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0036752 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 15000 50 3 4 437.57 5.143e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 13.81 + Max aggregated wall time pfact . . : 12.10 + Max aggregated wall time mxswp . . : 11.53 Max aggregated wall time update . . : 393.42 + Max aggregated wall time laswp . . : 25.61 Max aggregated wall time up tr sv . : 0.20 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0052164 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0172455 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0037389 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 15000 100 3 4 376.16 5.982e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 6.87 + Max aggregated wall time pfact . . : 4.36 + Max aggregated wall time mxswp . . : 3.73 Max aggregated wall time update . . : 342.91 + Max aggregated wall time laswp . . : 26.00 Max aggregated wall time up tr sv . : 0.18 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0064085 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0211865 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0045933 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 15000 150 3 4 392.23 5.737e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 11.88 + Max aggregated wall time pfact . . : 8.52 + Max aggregated wall time mxswp . . : 7.82 Max aggregated wall time update . . : 352.91 + Max aggregated wall time laswp . . : 26.26 Max aggregated wall time up tr sv . : 0.18 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0056014 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0185181 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0040148 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 15000 200 3 4 376.10 5.983e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 10.87 + Max aggregated wall time pfact . . : 6.84 + Max aggregated wall time mxswp . . : 6.10 Max aggregated wall time update . . : 333.86 + Max aggregated wall time laswp . . : 27.36 Max aggregated wall time up tr sv . : 0.19 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0059040 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0195187 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042317 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 15000 250 3 4 402.09 5.597e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 13.30 + Max aggregated wall time pfact . . : 8.07 + Max aggregated wall time mxswp . . : 7.30 Max aggregated wall time update . . : 352.84 + Max aggregated wall time laswp . . : 27.65 Max aggregated wall time up tr sv . : 0.20 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0063165 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0208824 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0045273 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 15000 300 3 4 395.66 5.688e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 15.29 + Max aggregated wall time pfact . . : 9.65 + Max aggregated wall time mxswp . . : 8.78 Max aggregated wall time update . . : 343.14 + Max aggregated wall time laswp . . : 26.31 Max aggregated wall time up tr sv . : 0.21 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0060098 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0198683 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043075 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 20000 50 3 4 1001.26 5.327e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 33.81 + Max aggregated wall time pfact . . : 30.86 + Max aggregated wall time mxswp . . : 29.76 Max aggregated wall time update . . : 911.06 + Max aggregated wall time laswp . . : 45.91 Max aggregated wall time up tr sv . : 0.32 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 2546451231.9832067 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 1903713093.9128771 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 386704374.7841651 ...... FAILED ||Ax-b||_oo . . . . . . . . . . . . . . . . . = 28.694408 ||A||_oo . . . . . . . . . . . . . . . . . . . = 5076.247098 ||A||_1 . . . . . . . . . . . . . . . . . . . = 5074.832190 ||x||_oo . . . . . . . . . . . . . . . . . . . = 6.583172 ||x||_1 . . . . . . . . . . . . . . . . . . . = 26752.468532 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 20000 100 3 4 848.74 6.285e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 12.52 + Max aggregated wall time pfact . . : 8.15 + Max aggregated wall time mxswp . . : 6.98 Max aggregated wall time update . . : 793.25 + Max aggregated wall time laswp . . : 47.02 Max aggregated wall time up tr sv . : 0.30 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0195430 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0189149 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0036048 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 20000 150 3 4 877.45 6.079e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 19.25 + Max aggregated wall time pfact . . : 13.38 + Max aggregated wall time mxswp . . : 12.15 Max aggregated wall time update . . : 792.45 + Max aggregated wall time laswp . . : 46.22 Max aggregated wall time up tr sv . : 0.29 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0187277 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0181258 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0034545 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 20000 200 3 4 830.46 6.423e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 17.11 + Max aggregated wall time pfact . . : 10.17 + Max aggregated wall time mxswp . . : 8.87 Max aggregated wall time update . . : 766.20 + Max aggregated wall time laswp . . : 46.82 Max aggregated wall time up tr sv . : 0.31 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0189219 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0183138 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0034903 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 20000 250 3 4 893.19 5.972e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 26.78 + Max aggregated wall time pfact . . : 18.09 + Max aggregated wall time mxswp . . : 16.73 Max aggregated wall time update . . : 801.49 + Max aggregated wall time laswp . . : 47.68 Max aggregated wall time up tr sv . : 0.32 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0185663 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0179696 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0034247 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 20000 300 3 4 863.53 6.177e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 22.13 + Max aggregated wall time pfact . . : 12.03 + Max aggregated wall time mxswp . . : 10.50 Max aggregated wall time update . . : 760.05 + Max aggregated wall time laswp . . : 46.16 Max aggregated wall time up tr sv . : 0.32 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0196267 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0189959 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0036203 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 25000 50 3 4 1918.51 5.430e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 53.92 + Max aggregated wall time pfact . . : 49.15 + Max aggregated wall time mxswp . . : 47.29 Max aggregated wall time update . . : 1758.16 + Max aggregated wall time laswp . . : 72.69 Max aggregated wall time up tr sv . : 0.52 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 38058174835063328663051017407262309804787322325157852969021674819602105782484615561216.0000000 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 38988011513.5107040 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 862842792.0071268 ...... FAILED ||Ax-b||_oo . . . . . . . . . . . . . . . . . = 671390038208567546850577296133540031714635005126274704811253786253904840753152.000000 ||A||_oo . . . . . . . . . . . . . . . . . . . = 6349.523268 ||A||_1 . . . . . . . . . . . . . . . . . . . = 6355.894762 ||x||_oo . . . . . . . . . . . . . . . . . . . = 44152150370492812443705077424561520849988042569169742995100476355992222695424.000000 ||x||_1 . . . . . . . . . . . . . . . . . . . = 24403767567034578928059555861291137658836147957339882404266352522178698078584832.000000 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 25000 100 3 4 1606.12 6.486e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 16.75 + Max aggregated wall time pfact . . : 9.83 + Max aggregated wall time mxswp . . : 7.85 Max aggregated wall time update . . : 1528.70 + Max aggregated wall time laswp . . : 71.93 Max aggregated wall time up tr sv . : 0.45 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 427543650.9002795 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 120360476.6216163 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 20816747.6967219 ...... FAILED ||Ax-b||_oo . . . . . . . . . . . . . . . . . = 7.542362 ||A||_oo . . . . . . . . . . . . . . . . . . . = 6349.523268 ||A||_1 . . . . . . . . . . . . . . . . . . . = 6355.894762 ||x||_oo . . . . . . . . . . . . . . . . . . . = 20.559056 ||x||_1 . . . . . . . . . . . . . . . . . . . = 88804.826738 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 25000 150 3 4 1656.26 6.290e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 31.55 + Max aggregated wall time pfact . . : 22.25 + Max aggregated wall time mxswp . . : 20.13 Max aggregated wall time update . . : 1534.59 + Max aggregated wall time laswp . . : 73.88 Max aggregated wall time up tr sv . : 0.43 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0767872 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0189598 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0032650 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 25000 200 3 4 1563.84 6.662e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 28.10 + Max aggregated wall time pfact . . : 16.71 + Max aggregated wall time mxswp . . : 14.36 Max aggregated wall time update . . : 1450.24 + Max aggregated wall time laswp . . : 74.09 Max aggregated wall time up tr sv . : 0.44 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 10934191734.9485760 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 5948832765.3383017 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 1110927273.6232853 ...... FAILED ||Ax-b||_oo . . . . . . . . . . . . . . . . . = 192.891736 ||A||_oo . . . . . . . . . . . . . . . . . . . = 6349.523268 ||A||_1 . . . . . . . . . . . . . . . . . . . = 6355.894762 ||x||_oo . . . . . . . . . . . . . . . . . . . = 9.852277 ||x||_1 . . . . . . . . . . . . . . . . . . . = 45950.996465 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 25000 250 3 4 1686.54 6.177e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 50.59 + Max aggregated wall time pfact . . : 36.54 + Max aggregated wall time mxswp . . : 34.18 Max aggregated wall time update . . : 1540.50 + Max aggregated wall time laswp . . : 74.41 Max aggregated wall time up tr sv . : 0.45 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 417342922.1218655 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 92461947.0656468 ...... FAILED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 15910139.7353406 ...... FAILED ||Ax-b||_oo . . . . . . . . . . . . . . . . . = 7.362410 ||A||_oo . . . . . . . . . . . . . . . . . . . = 6349.523268 ||A||_1 . . . . . . . . . . . . . . . . . . . = 6355.894762 ||x||_oo . . . . . . . . . . . . . . . . . . . = 26.257576 ||x||_1 . . . . . . . . . . . . . . . . . . . = 112841.805566 ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR03R2C4 25000 300 3 4 1616.76 6.444e+00 --VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV--VVV- Max aggregated wall time rfact . . . : 33.71 + Max aggregated wall time pfact . . : 18.15 + Max aggregated wall time mxswp . . : 15.83 Max aggregated wall time update . . : 1484.36 + Max aggregated wall time laswp . . : 75.43 Max aggregated wall time up tr sv . : 0.44 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0690309 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0170446 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0029352 ...... PASSED