host        : worker7084
date        : Thu Oct  8 12:42:06 AM EDT 2026
cpu         :  AMD EPYC 9474F 48-Core Processor
sockets     : 2, avx512f 1
compiler    : g++ (Spack GCC) 13.3.0
code        : cb85cb9 Merge pull request #32 from dmalhotra/quad_element, src/bench-cubed-sphere.cpp md5 16d855af0512
libxsmm     : 3057b239c 2026-09-28
flags       : -std=c++17 -fopenmp -Wall -Wfloat-conversion -O3 -march=native -DNDEBUG -gdwarf-4 -g -rdynamic -ldl -mno-avx512fp16 -DSCTL_GLOBAL_MEM_BUFF=0 -DSCTL_PROFILE=5 -DSCTL_VERBOSE -DSCTL_SIG_HANDLER -DSCTL_QUAD_T=__float128 -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lpthread -DSCTL_HAVE_BLAS -DSCTL_HAVE_LAPACK -lfftw3_omp -DSCTL_FFTW_THREADS -lfftw3 -DSCTL_HAVE_FFTW -lfftw3f -DSCTL_HAVE_FFTWF -lfftw3l -DSCTL_HAVE_FFTWL -I/mnt/home/dmalhotra/tmp/SCTL_bench/ext/libxsmm/include -L/mnt/home/dmalhotra/tmp/SCTL_bench/ext/libxsmm/lib -l:libxsmm.a -lpthread -lrt -ldl -lm -DSCTL_HAVE_LIBXSMM
tag/threads : genoa / 96

g++  -std=c++17 -fopenmp -Wall -Wfloat-conversion -O3 -march=native -DNDEBUG -gdwarf-4 -g -rdynamic -ldl -mno-avx512fp16 -DSCTL_GLOBAL_MEM_BUFF=0 -DSCTL_PROFILE=5 -DSCTL_VERBOSE -DSCTL_SIG_HANDLER -DSCTL_QUAD_T=__float128 -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lpthread -DSCTL_HAVE_BLAS -DSCTL_HAVE_LAPACK -lfftw3_omp -DSCTL_FFTW_THREADS -lfftw3 -DSCTL_HAVE_FFTW -lfftw3f -DSCTL_HAVE_FFTWF -lfftw3l -DSCTL_HAVE_FFTWL -I/mnt/home/dmalhotra/tmp/SCTL_bench/ext/libxsmm/include -L/mnt/home/dmalhotra/tmp/SCTL_bench/ext/libxsmm/lib -l:libxsmm.a -lpthread -lrt -ldl -lm -DSCTL_HAVE_LIBXSMM -MMD -MP -I./include -c src/bench-cubed-sphere.cpp -o obj.genoa/bench-cubed-sphere.o
g++  obj.genoa/bench-cubed-sphere.o -std=c++17 -fopenmp -Wall -Wfloat-conversion -O3 -march=native -DNDEBUG -gdwarf-4 -g -rdynamic -ldl -mno-avx512fp16 -DSCTL_GLOBAL_MEM_BUFF=0 -DSCTL_PROFILE=5 -DSCTL_VERBOSE -DSCTL_SIG_HANDLER -DSCTL_QUAD_T=__float128 -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lpthread -DSCTL_HAVE_BLAS -DSCTL_HAVE_LAPACK -lfftw3_omp -DSCTL_FFTW_THREADS -lfftw3 -DSCTL_HAVE_FFTW -lfftw3f -DSCTL_HAVE_FFTWF -lfftw3l -DSCTL_HAVE_FFTWL -I/mnt/home/dmalhotra/tmp/SCTL_bench/ext/libxsmm/include -L/mnt/home/dmalhotra/tmp/SCTL_bench/ext/libxsmm/lib -l:libxsmm.a -lpthread -lrt -ldl -lm -DSCTL_HAVE_LIBXSMM  -o bin.genoa/bench-cubed-sphere
rm obj.genoa/bench-cubed-sphere.o

threads/rank = 96, ranks = 1
SL[1]abs compares S[1] against its exact value: R (Laplace), 2R/3 (Stokes).

#kernel  scheme         thr order  ppf    twist       tol | geom_area geom_surf | SL[1]sprd  SL[1]abs     DL[1] | greens_den greens_sol | setup_sl setup_dl   pps/c_sl   pps/c_dl
 laplace TensorProduct   96    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  7.77e-07  8.29e-06  2.61e-05 |   7.22e-14   9.19e-06 |    0.168    0.169     7705.4     7659.3
 laplace Duffy           96    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  7.34e-07  8.31e-06  2.61e-05 |   7.22e-14   9.16e-06 |    0.063    0.061    20503.3    21167.8
 laplace Hedgehog        96    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  7.34e-07  8.31e-06  2.61e-05 |   7.22e-14   9.16e-06 |    0.181    0.278     7166.7     4664.9
 laplace TensorProduct   96    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  1.35e-09  5.79e-10  2.89e-09 |   7.22e-14   2.18e-09 |    0.362    0.372     3575.9     3483.8
 laplace Duffy           96    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  2.12e-10  5.18e-10  1.77e-09 |   7.22e-14   8.99e-10 |    0.087    0.089    14843.0    14558.5
 laplace Hedgehog        96    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  2.12e-10  5.18e-10  3.15e-09 |   7.22e-14   1.05e-09 |    0.289    0.354     4489.9     3657.7
 laplace TensorProduct   96    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.06e-11  5.33e-14  1.06e-11 |   7.22e-14   6.21e-12 |    0.966    0.984     1342.0     1316.8
 laplace Duffy           96    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.36e-13  0.00e+00  4.86e-13 |   7.22e-14   2.15e-13 |    0.144    0.147     8987.2     8844.8
 laplace Hedgehog        96    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  9.79e-14  0.00e+00  2.61e-12 |   7.22e-14   9.40e-13 |    0.523    0.555     2477.4     2334.5
 laplace TensorProduct   96    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.65e-14  0.00e+00  5.06e-13 |   7.22e-14   1.72e-13 |    1.582    1.620      819.3      800.0
 laplace Duffy           96    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.64e-14  0.00e+00  4.86e-13 |   7.22e-14   1.65e-13 |    0.247    0.247     5257.2     5240.1
 laplace Hedgehog        96    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.65e-14  0.00e+00  5.04e-13 |   7.22e-14   1.75e-13 |    0.855    0.904     1515.1     1433.0
 laplace TensorProduct   96    12   12   1.5708     1e-03 |  3.83e-14  1.11e-15 |  7.72e-07  8.28e-06  2.62e-05 |   4.89e-11   9.09e-06 |    0.182    0.185     7131.9     6998.2
 laplace Duffy           96    12   12   1.5708     1e-03 |  3.83e-14  1.11e-15 |  7.20e-07  8.29e-06  2.61e-05 |   4.89e-11   9.03e-06 |    0.072    0.073    17979.8    17785.9
 laplace Hedgehog        96    12   12   1.5708     1e-03 |  3.83e-14  1.11e-15 |  7.19e-07  8.29e-06  3.38e-05 |   4.89e-11   1.21e-05 |    0.200    0.303     6476.7     4278.3
 laplace TensorProduct   96    12   12   1.5708     1e-06 |  3.83e-14  1.11e-15 |  3.03e-09  5.52e-10  3.68e-09 |   4.89e-11   3.02e-09 |    0.493    0.506     2628.5     2558.8
 laplace Duffy           96    12   12   1.5708     1e-06 |  3.83e-14  1.11e-15 |  6.02e-10  5.17e-10  2.10e-09 |   4.89e-11   1.35e-09 |    0.123    0.124    10528.8    10486.2
 laplace Hedgehog        96    12   12   1.5708     1e-06 |  3.83e-14  1.11e-15 |  2.15e-10  5.17e-10  6.32e-09 |   4.89e-11   2.74e-09 |    0.412    0.507     3149.3     2554.1
 laplace TensorProduct   96    12   12   1.5708     1e-09 |  3.83e-14  1.11e-15 |  1.90e-11  4.40e-14  1.89e-11 |   4.89e-11   1.71e-11 |    1.201    1.229     1078.9     1054.5
 laplace Duffy           96    12   12   1.5708     1e-09 |  3.83e-14  1.11e-15 |  5.18e-12  6.66e-16  5.19e-12 |   4.89e-11   7.16e-12 |    0.267    0.272     4859.1     4767.5
 laplace Hedgehog        96    12   12   1.5708     1e-09 |  3.83e-14  1.11e-15 |  2.01e-13  0.00e+00  4.57e-12 |   4.89e-11   2.12e-12 |    0.888    0.943     1459.4     1374.1
 laplace TensorProduct   96    12   12   1.5708     1e-12 |  3.83e-14  1.11e-15 |  4.93e-14  0.00e+00  6.32e-13 |   4.89e-11   2.51e-13 |    2.175    2.222      595.7      583.2
 laplace Duffy           96    12   12   1.5708     1e-12 |  3.83e-14  1.11e-15 |  7.18e-14  0.00e+00  6.88e-13 |   4.89e-11   2.62e-13 |    0.510    0.518     2540.9     2502.6
 laplace Hedgehog        96    12   12   1.5708     1e-12 |  3.83e-14  1.11e-15 |  4.93e-14  0.00e+00  6.34e-13 |   4.89e-11   2.58e-13 |    1.610    1.701      804.8      761.7
 laplace TensorProduct   96    12   12   3.1416     1e-03 |  3.94e-14  3.11e-15 |  1.39e-06  8.20e-06  2.63e-05 |   4.28e-08   9.13e-06 |    0.311    0.314     4168.9     4121.4
 laplace Duffy           96    12   12   3.1416     1e-03 |  3.94e-14  3.11e-15 |  7.75e-06  8.28e-06  3.24e-05 |   4.28e-08   2.00e-05 |    0.134    0.137     9674.7     9453.6
 laplace Hedgehog        96    12   12   3.1416     1e-03 |  3.94e-14  3.11e-15 |  6.16e-07  8.20e-06  3.41e-05 |   4.28e-08   1.28e-05 |    0.377    0.538     3441.0     2407.2
 laplace TensorProduct   96    12   12   3.1416     1e-06 |  3.94e-14  3.11e-15 |  5.10e-09  5.30e-10  6.64e-09 |   4.28e-08   5.67e-09 |    1.007    1.029     1287.6     1259.9
 laplace Duffy           96    12   12   3.1416     1e-06 |  3.94e-14  3.11e-15 |  1.02e-08  5.09e-10  1.08e-08 |   4.28e-08   1.59e-08 |    0.353    0.356     3671.6     3638.4
 laplace Hedgehog        96    12   12   3.1416     1e-06 |  3.94e-14  3.11e-15 |  3.82e-10  5.08e-10  6.39e-09 |   4.28e-08   2.11e-09 |    1.112    1.341     1165.9      966.6
 laplace TensorProduct   96    12   12   3.1416     1e-09 |  3.94e-14  3.11e-15 |  4.76e-11  5.24e-14  4.79e-11 |   4.28e-08   4.65e-11 |    2.275    2.334      569.6      555.3
 laplace Duffy           96    12   12   3.1416     1e-09 |  3.94e-14  3.11e-15 |  7.14e-11  5.33e-15  7.15e-11 |   4.28e-08   1.23e-10 |    1.124    1.144     1152.8     1133.2
 laplace Hedgehog        96    12   12   3.1416     1e-09 |  3.94e-14  3.11e-15 |  2.99e-13  0.00e+00  1.39e-11 |   4.28e-08   4.61e-11 |    2.818    2.976      459.9      435.5
 laplace TensorProduct   96    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  3.36e-13  0.00e+00  3.50e-12 |   4.28e-08   4.65e-11 |    4.421    4.538      293.2      285.6
 laplace Duffy           96    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  1.42e-12  1.11e-16  3.51e-12 |   4.28e-08   4.65e-11 |    2.233    2.276      580.3      569.5
 laplace Hedgehog        96    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  4.34e-14  0.00e+00  1.18e-11 |   4.28e-08   4.65e-11 |    4.884    5.127      265.4      252.8
 stokes  TensorProduct   96    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  1.45e-06  1.25e-05  5.69e-05 |   2.25e-13   1.27e-05 |    0.270    0.273     4803.3     4750.4
 stokes  Duffy           96    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  1.42e-06  1.25e-05  5.86e-05 |   2.25e-13   1.30e-05 |    0.129    0.128    10071.3    10121.2
 stokes  Hedgehog        96    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  1.33e-06  1.25e-05  5.71e-05 |   2.25e-13   1.30e-05 |    0.337    0.511     3849.8     2533.9
 stokes  TensorProduct   96    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  2.15e-09  8.21e-10  3.04e-08 |   2.25e-13   4.17e-09 |    0.597    0.605     2171.6     2142.6
 stokes  Duffy           96    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  1.37e-09  7.77e-10  1.82e-08 |   2.25e-13   2.52e-09 |    0.174    0.178     7431.4     7291.1
 stokes  Hedgehog        96    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  1.36e-09  7.77e-10  1.92e-07 |   2.25e-13   1.93e-08 |    0.555    0.666     2334.7     1945.8
 stokes  TensorProduct   96    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.81e-11  3.80e-13  2.31e-10 |   2.25e-13   3.87e-11 |    1.557    1.576      832.5      822.3
 stokes  Duffy           96    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.43e-12  3.77e-13  1.47e-11 |   2.25e-13   2.24e-12 |    0.284    0.285     4560.8     4555.1
 stokes  Hedgehog        96    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.41e-12  3.77e-13  2.57e-10 |   2.25e-13   2.06e-11 |    1.011    1.039     1282.1     1247.0
 stokes  TensorProduct   96    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.19e-13  3.77e-13  1.53e-12 |   2.25e-13   1.75e-13 |    2.552    2.580      507.9      502.3
 stokes  Duffy           96    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.18e-13  3.77e-13  1.52e-12 |   2.25e-13   1.65e-13 |    0.460    0.463     2817.7     2798.2
 stokes  Hedgehog        96    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.19e-13  3.77e-13  1.52e-12 |   2.25e-13   1.58e-13 |    1.596    1.630      811.8      795.1
 stokes  TensorProduct   96    12   12   1.5708     1e-03 |  3.83e-14  1.11e-15 |  1.25e-06  1.24e-05  5.87e-05 |   1.54e-10   1.27e-05 |    0.303    0.304     4278.1     4257.2
 stokes  Duffy           96    12   12   1.5708     1e-03 |  3.83e-14  1.11e-15 |  2.32e-06  1.24e-05  7.19e-05 |   1.54e-10   1.45e-05 |    0.145    0.148     8922.1     8763.1
 stokes  Hedgehog        96    12   12   1.5708     1e-03 |  3.83e-14  1.11e-15 |  1.17e-06  1.24e-05  3.84e-04 |   1.54e-10   2.88e-05 |    0.378    0.555     3428.2     2334.7
 stokes  TensorProduct   96    12   12   1.5708     1e-06 |  3.83e-14  1.11e-15 |  4.07e-09  8.19e-10  5.41e-08 |   1.54e-10   9.94e-09 |    0.805    0.817     1610.0     1586.5
 stokes  Duffy           96    12   12   1.5708     1e-06 |  3.83e-14  1.11e-15 |  2.96e-09  7.73e-10  3.91e-08 |   1.54e-10   8.37e-09 |    0.239    0.241     5424.7     5368.8
 stokes  Hedgehog        96    12   12   1.5708     1e-06 |  3.83e-14  1.11e-15 |  9.48e-10  7.74e-10  2.94e-07 |   1.54e-10   2.57e-08 |    0.783    0.939     1654.8     1380.2
 stokes  TensorProduct   96    12   12   1.5708     1e-09 |  3.83e-14  1.11e-15 |  2.67e-11  5.07e-13  4.40e-10 |   1.54e-10   6.48e-11 |    1.945    1.970      666.3      657.7
 stokes  Duffy           96    12   12   1.5708     1e-09 |  3.83e-14  1.11e-15 |  3.20e-12  3.86e-13  4.94e-11 |   1.54e-10   1.04e-11 |    0.501    0.504     2584.4     2570.0
 stokes  Hedgehog        96    12   12   1.5708     1e-09 |  3.83e-14  1.11e-15 |  2.27e-12  3.78e-13  2.63e-10 |   1.54e-10   2.44e-11 |    1.667    1.720      777.5      753.6
 stokes  TensorProduct   96    12   12   1.5708     1e-12 |  3.83e-14  1.11e-15 |  4.21e-13  3.77e-13  2.00e-12 |   1.54e-10   2.08e-13 |    3.524    3.576      367.8      362.5
 stokes  Duffy           96    12   12   1.5708     1e-12 |  3.83e-14  1.11e-15 |  4.21e-13  3.77e-13  1.65e-12 |   1.54e-10   2.08e-13 |    0.937    0.941     1383.7     1377.4
 stokes  Hedgehog        96    12   12   1.5708     1e-12 |  3.83e-14  1.11e-15 |  4.21e-13  3.77e-13  1.93e-12 |   1.54e-10   2.10e-13 |    2.959    3.040      437.9      426.4
 stokes  TensorProduct   96    12   12   3.1416     1e-03 |  3.94e-14  3.11e-15 |  5.30e-06  1.23e-05  1.10e-04 |   1.58e-07   1.77e-05 |    0.509    0.517     2547.4     2504.7
 stokes  Duffy           96    12   12   3.1416     1e-03 |  3.94e-14  3.11e-15 |  4.21e-06  1.23e-05  8.50e-05 |   1.58e-07   1.63e-05 |    0.264    0.266     4912.1     4879.9
 stokes  Hedgehog        96    12   12   3.1416     1e-03 |  3.94e-14  3.11e-15 |  1.60e-06  1.23e-05  2.56e-04 |   1.58e-07   2.67e-05 |    0.702    0.982     1845.1     1319.4
 stokes  TensorProduct   96    12   12   3.1416     1e-06 |  3.94e-14  3.11e-15 |  2.75e-08  7.73e-10  6.23e-07 |   1.58e-07   8.61e-08 |    1.641    1.662      789.9      779.6
 stokes  Duffy           96    12   12   3.1416     1e-06 |  3.94e-14  3.11e-15 |  1.33e-08  7.60e-10  1.75e-07 |   1.58e-07   3.35e-08 |    0.647    0.650     2001.9     1993.9
 stokes  Hedgehog        96    12   12   3.1416     1e-06 |  3.94e-14  3.11e-15 |  1.85e-09  7.60e-10  3.42e-07 |   1.58e-07   2.67e-08 |    2.055    2.407      630.8      538.5
 stokes  TensorProduct   96    12   12   3.1416     1e-09 |  3.94e-14  3.11e-15 |  3.74e-10  3.87e-13  1.02e-08 |   1.58e-07   1.48e-09 |    3.714    3.761      349.0      344.6
 stokes  Duffy           96    12   12   3.1416     1e-09 |  3.94e-14  3.11e-15 |  3.30e-11  4.05e-13  6.12e-10 |   1.58e-07   3.19e-10 |    1.958    1.971      662.0      657.5
 stokes  Hedgehog        96    12   12   3.1416     1e-09 |  3.94e-14  3.11e-15 |  2.85e-12  3.79e-13  1.07e-09 |   1.58e-07   3.19e-10 |    5.077    5.215      255.3      248.5
 stokes  TensorProduct   96    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  3.20e-12  3.78e-13  6.41e-11 |   1.58e-07   3.19e-10 |    7.202    7.303      180.0      177.5
 stokes  Duffy           96    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  5.13e-13  3.77e-13  7.54e-12 |   1.58e-07   3.19e-10 |    3.835    3.862      338.0      335.6
 stokes  Hedgehog        96    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  4.79e-13  3.77e-13  1.07e-09 |   1.58e-07   3.19e-10 |    8.674    8.886      149.4      145.8
# OpenMP strong scaling (order 12, ppf 8, twist pi/6, tol 1e-9)
 laplace TensorProduct   96    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |    0.433    0.443     1331.1     1300.9
 laplace Duffy           96    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    0.067    0.068     8556.6     8445.7
 laplace Hedgehog        96    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |    0.236    0.250     2436.8     2301.7
 laplace TensorProduct   64    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |    0.639    0.652     1351.2     1325.8
 laplace Duffy           64    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    0.094    0.095     9219.3     9104.6
 laplace Hedgehog        64    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |    0.347    0.367     2492.2     2354.6
 laplace TensorProduct   32    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |    1.265    1.292     1365.8     1337.9
 laplace Duffy           32    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    0.178    0.180     9719.9     9581.5
 laplace Hedgehog        32    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |    0.681    0.722     2537.3     2393.4
 laplace TensorProduct   16    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |    2.520    2.574     1371.5     1342.6
 laplace Duffy           16    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    0.351    0.356     9856.5     9705.9
 laplace Hedgehog        16    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |    1.354    1.442     2553.2     2397.4
 laplace TensorProduct    8    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |    5.027    5.137     1375.0     1345.6
 laplace Duffy            8    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    0.692    0.702     9987.5     9844.7
 laplace Hedgehog         8    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |    2.695    2.870     2565.0     2408.0
 laplace TensorProduct    4    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |   10.032   10.250     1378.0     1348.6
 laplace Duffy            4    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    1.369    1.389    10098.6     9955.8
 laplace Hedgehog         4    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |    5.363    5.676     2577.7     2435.6
 laplace TensorProduct    2    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |   20.046   20.472     1379.2     1350.5
 laplace Duffy            2    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    2.723    2.762    10154.2    10011.8
 laplace Hedgehog         2    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |   10.699   11.322     2584.1     2442.0
 laplace TensorProduct    1    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.57e-11  1.77e-13  1.59e-11 |   7.94e-12   8.77e-12 |   40.073   40.940     1379.9     1350.7
 laplace Duffy            1    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.93e-13  0.00e+00  1.11e-12 |   7.94e-12   4.90e-13 |    5.483    5.553    10085.1     9958.4
 laplace Hedgehog         1    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  1.31e-13  0.00e+00  2.53e-12 |   7.94e-12   9.90e-13 |   21.674   22.919     2551.2     2412.7
 stokes  TensorProduct   96    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |    0.698    0.703      825.7      818.8
 stokes  Duffy           96    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    0.135    0.131     4258.8     4381.4
 stokes  Hedgehog        96    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |    0.457    0.468     1260.2     1230.7
 stokes  TensorProduct   64    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |    1.029    1.041      839.5      829.8
 stokes  Duffy           64    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    0.185    0.185     4675.0     4665.1
 stokes  Hedgehog        64    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |    0.672    0.692     1285.5     1249.4
 stokes  TensorProduct   32    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |    2.029    2.051      851.8      842.4
 stokes  Duffy           32    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    0.346    0.347     4998.6     4975.1
 stokes  Hedgehog        32    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |    1.316    1.354     1312.9     1276.0
 stokes  TensorProduct   16    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |    4.030    4.079      857.6      847.3
 stokes  Duffy           16    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    0.673    0.676     5136.8     5109.8
 stokes  Hedgehog        16    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |    2.607    2.685     1325.7     1287.4
 stokes  TensorProduct    8    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |    8.041    8.142      859.6      848.9
 stokes  Duffy            8    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    1.332    1.337     5188.7     5170.9
 stokes  Hedgehog         8    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |    5.193    5.350     1330.9     1291.9
 stokes  TensorProduct    4    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |   16.001   16.211      863.9      852.8
 stokes  Duffy            4    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    2.606    2.619     5304.7     5278.8
 stokes  Hedgehog         4    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |   10.308   10.623     1341.0     1301.3
 stokes  TensorProduct    2    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |   32.002   32.456      864.0      851.9
 stokes  Duffy            2    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |    5.161    5.184     5357.5     5333.5
 stokes  Hedgehog         2    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |   20.596   21.270     1342.4     1299.8
 stokes  TensorProduct    1    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.67e-11  1.07e-13  3.46e-10 |   2.83e-11   5.57e-11 |   63.969   64.902      864.4      852.0
 stokes  Duffy            1    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  2.77e-11 |   2.83e-11   3.75e-12 |   10.351   10.392     5342.2     5321.2
 stokes  Hedgehog         1    12    8   0.5236     1e-09 |  3.77e-14  1.67e-15 |  2.09e-12  2.41e-13  1.58e-10 |   2.83e-11   1.33e-11 |   41.116   42.328     1344.9     1306.4
done        : Thu Oct  8 01:34:25 AM EDT 2026
