Performance “noise level” variance, non-crt (n=1396) and crt (n=3011)

Variance report non-crt -f 25 (1396 reports) and -f 64 crt-22m-64s (3011 reports)

Comparison between reported performance of GapMiner for non-crt and crt mining. Of note is the value for std (standard deviation). Column labels map directly to miner output: pps is average primes per second, tps is average tests per second, gps is average gaps per second and, for crt mining, glst is the size of the gap list.

This basic level of “noise” in the miner’s reported performance statistics sets a base level of granularity that should be acknowledged when devising tests to compare the results from one mining parameter setting value against a different setting value.

Pandas “describe” summary of variance


-t 2 -f 25 -s 33554432 -i 900000                      -t 2 -d 1 -f 64 -i 16300 -r crt-22m-64s
                 pps           tps           gps                       pps           tps          gps          glst
count    1396.000000   1396.000000   1396.000000      count    3011.000000  3.011000e+03  3011.000000   3011.000000
mean   201345.737106  93362.854585  14059.191261      mean   296615.872800  2.209359e+08  4175.967453  11873.141481
std      1162.504695    205.418244     30.552968      std     17684.741105  1.273910e+08     8.655627   8514.218057
min    200037.000000  93149.000000  14027.000000      min    190954.000000  1.833550e+05  4167.000000      0.000000
25%    200862.000000  93187.000000  14032.000000      25%    283217.500000  1.108248e+08  4173.000000   4577.000000
50%    201320.000000  93275.000000  14047.000000      50%    296408.000000  2.208485e+08  4174.000000  10506.000000
75%    201500.000000  93536.250000  14085.000000      75%    313735.000000  3.309344e+08  4178.000000  17734.000000
max    213954.000000  96321.000000  14466.000000      max    363381.000000  4.416700e+08  4446.000000  38080.000000

Correlation between columns
                  pps       tps       gps                                pps       tps       gps
        pps  1.000000  0.236737  0.201119                     pps   1.000000  0.510353 -0.408007
        tps  0.236737  1.000000  0.997566                     tps   0.510353  1.000000 -0.414272
        gps  0.201119  0.997566  1.000000                     gps  -0.408007 -0.414272  1.000000

The charts included below are for completeness. The figures given are the means and they differ from the pandas-produced means because, in order to support the different requirements of charting, the first 1/5th of the data is ignored in order to aid visual comparison. The chartline uses the full dataset.

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Replication:

gapminer -o localhost -p 31397 -u $USER -x $USERPASS -e -j 5 -t 2
gapminer -o localhost -p 31397 -u $USER -x $USERPASS -e -j 5 -t 2 -d 1 -f 64 -i [as-discovered] -r crt/crt-22m-0064s.txt

Binaries Source

rev5 CPU/CRT binaries rev4 GPU binaries Source

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Performance “noise level” variance, non-crt (n=1396) and crt (n=3011)

Variance report non-crt -f 25 (1396 reports) and -f 64 crt-22m-64s (3011 reports)

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