host        : worker6171
date        : Thu Oct  8 01:01:15 AM EDT 2026
cpu         :  Intel(R) Xeon(R) Platinum 8362 CPU @ 2.80GHz
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 : icelake / 64

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.icelake/bench-cubed-sphere.o
g++  obj.icelake/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.icelake/bench-cubed-sphere
rm obj.icelake/bench-cubed-sphere.o

threads/rank = 64, 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   64    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  7.77e-07  8.29e-06  2.61e-05 |   7.23e-14   9.19e-06 |    0.292    0.296     6658.4     6558.8
 laplace Duffy           64    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  7.34e-07  8.31e-06  2.61e-05 |   7.23e-14   9.16e-06 |    0.106    0.107    18357.2    18168.2
 laplace Hedgehog        64    12   12   0.5236     1e-03 |  4.03e-14  1.11e-15 |  7.34e-07  8.31e-06  2.61e-05 |   7.23e-14   9.16e-06 |    0.309    0.481     6291.0     4039.0
 laplace TensorProduct   64    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  1.35e-09  5.79e-10  2.89e-09 |   7.23e-14   2.18e-09 |    0.727    0.755     2673.0     2576.3
 laplace Duffy           64    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  2.12e-10  5.18e-10  1.77e-09 |   7.23e-14   8.99e-10 |    0.155    0.157    12569.3    12414.0
 laplace Hedgehog        64    12   12   0.5236     1e-06 |  4.03e-14  1.11e-15 |  2.12e-10  5.18e-10  3.15e-09 |   7.23e-14   1.05e-09 |    0.506    0.626     3842.0     3106.2
 laplace TensorProduct   64    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.06e-11  5.33e-14  1.06e-11 |   7.23e-14   6.21e-12 |    2.082    2.359      933.8      824.2
 laplace Duffy           64    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  1.36e-13  0.00e+00  4.85e-13 |   7.23e-14   2.15e-13 |    0.266    0.267     7315.8     7272.4
 laplace Hedgehog        64    12   12   0.5236     1e-09 |  4.03e-14  1.11e-15 |  9.79e-14  0.00e+00  2.61e-12 |   7.23e-14   9.40e-13 |    0.950    1.015     2045.6     1915.2
 laplace TensorProduct   64    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.65e-14  0.00e+00  5.05e-13 |   7.23e-14   1.72e-13 |    3.728    4.073      521.5      477.3
 laplace Duffy           64    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.64e-14  0.00e+00  4.85e-13 |   7.23e-14   1.65e-13 |    0.443    0.449     4384.5     4332.4
 laplace Hedgehog        64    12   12   0.5236     1e-12 |  4.03e-14  1.11e-15 |  4.65e-14  0.00e+00  5.04e-13 |   7.23e-14   1.75e-13 |    1.518    1.621     1280.9     1199.0
 laplace TensorProduct   64    12   12   1.5708     1e-03 |  3.83e-14  1.22e-15 |  7.72e-07  8.28e-06  2.62e-05 |   4.89e-11   9.09e-06 |    0.326    0.338     5971.2     5758.1
 laplace Duffy           64    12   12   1.5708     1e-03 |  3.83e-14  1.22e-15 |  7.20e-07  8.29e-06  2.61e-05 |   4.89e-11   9.03e-06 |    0.125    0.125    15559.3    15521.0
 laplace Hedgehog        64    12   12   1.5708     1e-03 |  3.83e-14  1.22e-15 |  7.19e-07  8.29e-06  3.38e-05 |   4.89e-11   1.21e-05 |    0.352    0.542     5519.7     3585.7
 laplace TensorProduct   64    12   12   1.5708     1e-06 |  3.83e-14  1.22e-15 |  3.03e-09  5.52e-10  3.68e-09 |   4.89e-11   3.02e-09 |    1.087    1.102     1788.2     1764.4
 laplace Duffy           64    12   12   1.5708     1e-06 |  3.83e-14  1.22e-15 |  6.02e-10  5.17e-10  2.10e-09 |   4.89e-11   1.35e-09 |    0.223    0.225     8732.9     8624.9
 laplace Hedgehog        64    12   12   1.5708     1e-06 |  3.83e-14  1.22e-15 |  2.15e-10  5.17e-10  6.32e-09 |   4.89e-11   2.74e-09 |    0.748    0.914     2598.7     2125.8
 laplace TensorProduct   64    12   12   1.5708     1e-09 |  3.83e-14  1.22e-15 |  1.90e-11  4.40e-14  1.89e-11 |   4.89e-11   1.71e-11 |    2.765    3.006      703.1      646.7
 laplace Duffy           64    12   12   1.5708     1e-09 |  3.83e-14  1.22e-15 |  5.18e-12  6.66e-16  5.19e-12 |   4.89e-11   7.16e-12 |    0.483    0.496     4024.2     3920.1
 laplace Hedgehog        64    12   12   1.5708     1e-09 |  3.83e-14  1.22e-15 |  2.01e-13  0.00e+00  4.57e-12 |   4.89e-11   2.12e-12 |    1.594    1.695     1219.4     1147.1
 laplace TensorProduct   64    12   12   1.5708     1e-12 |  3.83e-14  1.22e-15 |  4.93e-14  0.00e+00  6.32e-13 |   4.89e-11   2.51e-13 |    5.140    5.659      378.2      343.5
 laplace Duffy           64    12   12   1.5708     1e-12 |  3.83e-14  1.22e-15 |  7.21e-14  0.00e+00  6.89e-13 |   4.89e-11   2.62e-13 |    0.925    0.944     2102.4     2059.6
 laplace Hedgehog        64    12   12   1.5708     1e-12 |  3.83e-14  1.22e-15 |  4.93e-14  0.00e+00  6.34e-13 |   4.89e-11   2.58e-13 |    2.872    3.080      676.8      631.2
 laplace TensorProduct   64    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 |    0.614    0.650     3164.5     2993.0
 laplace Duffy           64    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 |    0.244    0.247     7976.4     7883.5
 laplace Hedgehog        64    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 |    0.669    0.971     2906.5     2002.8
 laplace TensorProduct   64    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 |    2.251    2.439      863.7      797.1
 laplace Duffy           64    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 |    0.632    0.643     3078.1     3022.1
 laplace Hedgehog        64    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 |    1.970    2.424      986.8      802.0
 laplace TensorProduct   64    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 |    5.259    5.740      369.7      338.7
 laplace Duffy           64    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 |    1.951    2.003      996.5      970.5
 laplace Hedgehog        64    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 |    4.946    5.286      393.0      367.8
 laplace TensorProduct   64    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 |   10.703   11.705      181.6      166.1
 laplace Duffy           64    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 |    3.895    3.985      499.1      487.8
 laplace Hedgehog        64    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  4.35e-14  0.00e+00  1.18e-11 |   4.28e-08   4.65e-11 |    8.584    9.113      226.5      213.3
 stokes  TensorProduct   64    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 |    0.566    0.598     3435.8     3251.8
 stokes  Duffy           64    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 |    0.235    0.235     8272.9     8266.7
 stokes  Hedgehog        64    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 |    0.636    0.968     3055.7     2007.8
 stokes  TensorProduct   64    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 |    1.629    1.709     1193.2     1137.5
 stokes  Duffy           64    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 |    0.352    0.353     5517.6     5503.6
 stokes  Hedgehog        64    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 |    1.008    1.220     1928.7     1593.9
 stokes  TensorProduct   64    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 |    4.453    4.841      436.6      401.5
 stokes  Duffy           64    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 |    0.581    0.584     3347.4     3326.4
 stokes  Hedgehog        64    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 |    1.836    1.911     1058.9     1017.3
 stokes  TensorProduct   64    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 |    7.343    8.006      264.7      242.8
 stokes  Duffy           64    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 |    0.921    0.922     2111.2     2107.7
 stokes  Hedgehog        64    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 |    2.862    2.999      679.2      648.3
 stokes  TensorProduct   64    12   12   1.5708     1e-03 |  3.83e-14  1.22e-15 |  1.25e-06  1.24e-05  5.87e-05 |   1.54e-10   1.27e-05 |    0.645    0.685     3012.9     2836.5
 stokes  Duffy           64    12   12   1.5708     1e-03 |  3.83e-14  1.22e-15 |  2.32e-06  1.24e-05  7.19e-05 |   1.54e-10   1.45e-05 |    0.281    0.285     6915.8     6819.0
 stokes  Hedgehog        64    12   12   1.5708     1e-03 |  3.83e-14  1.22e-15 |  1.17e-06  1.24e-05  3.84e-04 |   1.54e-10   2.88e-05 |    0.713    1.045     2725.4     1859.7
 stokes  TensorProduct   64    12   12   1.5708     1e-06 |  3.83e-14  1.22e-15 |  4.07e-09  8.19e-10  5.41e-08 |   1.54e-10   9.94e-09 |    2.232    2.363      871.0      822.8
 stokes  Duffy           64    12   12   1.5708     1e-06 |  3.83e-14  1.22e-15 |  2.96e-09  7.73e-10  3.91e-08 |   1.54e-10   8.37e-09 |    0.507    0.483     3833.0     4028.5
 stokes  Hedgehog        64    12   12   1.5708     1e-06 |  3.83e-14  1.22e-15 |  9.48e-10  7.74e-10  2.94e-07 |   1.54e-10   2.57e-08 |    1.431    1.728     1358.8     1125.1
 stokes  TensorProduct   64    12   12   1.5708     1e-09 |  3.83e-14  1.22e-15 |  2.67e-11  5.07e-13  4.40e-10 |   1.54e-10   6.48e-11 |    5.533    5.977      351.4      325.2
 stokes  Duffy           64    12   12   1.5708     1e-09 |  3.83e-14  1.22e-15 |  3.20e-12  3.86e-13  4.94e-11 |   1.54e-10   1.04e-11 |    0.979    0.987     1986.3     1970.6
 stokes  Hedgehog        64    12   12   1.5708     1e-09 |  3.83e-14  1.22e-15 |  2.27e-12  3.78e-13  2.63e-10 |   1.54e-10   2.44e-11 |    3.022    3.151      643.3      617.0
 stokes  TensorProduct   64    12   12   1.5708     1e-12 |  3.83e-14  1.22e-15 |  4.21e-13  3.77e-13  2.00e-12 |   1.54e-10   2.08e-13 |   10.031   11.020      193.8      176.4
 stokes  Duffy           64    12   12   1.5708     1e-12 |  3.83e-14  1.22e-15 |  4.21e-13  3.77e-13  1.65e-12 |   1.54e-10   2.08e-13 |    1.762    1.782     1103.1     1091.2
 stokes  Hedgehog        64    12   12   1.5708     1e-12 |  3.83e-14  1.22e-15 |  4.21e-13  3.77e-13  1.93e-12 |   1.54e-10   2.10e-13 |    5.354    5.516      363.1      352.4
 stokes  TensorProduct   64    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 |    1.230    1.301     1580.9     1494.3
 stokes  Duffy           64    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 |    0.518    0.522     3751.3     3723.0
 stokes  Hedgehog        64    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 |    1.301    1.820     1494.2     1067.9
 stokes  TensorProduct   64    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 |    4.417    4.770      440.1      407.5
 stokes  Duffy           64    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 |    1.226    1.237     1585.0     1571.2
 stokes  Hedgehog        64    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 |    3.658    4.344      531.4      447.5
 stokes  TensorProduct   64    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 |   10.116   11.047      192.2      176.0
 stokes  Duffy           64    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 |    3.451    3.483      563.3      558.2
 stokes  Hedgehog        64    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 |    8.891    9.222      218.7      210.8
 stokes  TensorProduct   64    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 |   20.205   22.127       96.2       87.9
 stokes  Duffy           64    12   12   3.1416     1e-12 |  3.94e-14  3.11e-15 |  5.13e-13  3.77e-13  7.53e-12 |   1.58e-07   3.19e-10 |    6.720    6.801      289.3      285.8
 stokes  Hedgehog        64    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 |   15.260   15.686      127.4      123.9
# OpenMP strong scaling (order 12, ppf 8, twist pi/6, tol 1e-9)
 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 |    0.967    1.012      893.3      853.7
 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 |    0.120    0.122     7176.9     7087.1
 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 |    0.426    0.455     2026.0     1898.1
 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 |    1.911    1.977      904.2      874.0
 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 |    0.228    0.232     7582.8     7463.5
 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 |    0.838    0.891     2063.0     1939.3
 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 |    2.645    2.730     1306.6     1265.8
 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 |    0.355    0.361     9742.5     9562.6
 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 |    1.294    1.375     2671.6     2513.9
 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 |    4.977    5.105     1388.9     1354.0
 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 |    0.700    0.710     9869.9     9731.9
 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 |    2.532    2.690     2730.0     2569.3
 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 |    9.940   10.177     1390.7     1358.3
 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 |    1.384    1.411     9985.8     9799.9
 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 |    5.026    5.343     2750.7     2587.3
 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 |   19.866   20.363     1391.7     1357.7
 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 |    2.753    2.794    10043.9     9896.8
 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 |   10.025   10.656     2757.9     2594.6
 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 |   40.151   41.035     1377.2     1347.5
 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 |    5.550    5.631     9962.7     9819.3
 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 |   20.145   21.402     2744.9     2583.6
 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 |    1.892    2.023      456.7      427.1
 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 |    0.258    0.261     3343.8     3310.8
 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 |    0.809    0.840     1068.5     1029.0
 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 |    3.869    4.166      446.6      414.8
 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 |    0.489    0.493     3532.8     3507.7
 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 |    1.621    1.687     1066.2     1024.2
 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 |    4.924    5.342      701.9      647.0
 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 |    0.713    0.718     4844.2     4811.2
 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 |    2.458    2.557     1406.3     1351.5
 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 |    8.466    8.973      816.4      770.3
 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 |    1.339    1.352     5160.3     5113.7
 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 |    4.732    4.923     1460.6     1404.1
 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 |   17.004   17.981      813.0      768.8
 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 |    2.625    2.649     5266.1     5217.8
 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 |    9.369    9.753     1475.6     1417.4
 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 |   33.521   35.059      824.8      788.6
 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 |    5.211    5.259     5305.6     5256.9
 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 |   18.706   19.496     1478.1     1418.1
 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 |   67.530   70.710      818.8      782.0
 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 |   10.387   10.489     5323.7     5271.9
 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 |   38.310   39.856     1443.4     1387.4
done        : Thu Oct  8 02:06:06 AM EDT 2026
