magv / ibp-benchmark

IBP solver benchmark

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Integration-by-Parts relation solver benchmark

This project contains:

  • templates for multiple IBP solver configurations;
  • definitions of IBP reduction problems that can be filled into those templates;
  • tool to run the solvers, and measure their performance and memory usage.

How to use

Start by running

./generate.py

This will generate the problem directories in problems/*: one directory for each problem and solution method.

To run the reduction, just execute run.sh in any given directory. Alternatively (and better), run ./measure problem/<directory> to run run.sh and measure its memory and disk usage over time.

You will need to install the IBP solvers for this to work. In particular:

  • the environment variable $FIREPATH should point to the FIRE6 installation directory;
  • the command kira should correspond to the latest Kira version;
  • the command ratracer should correspond to the latest Ratracer build.

After ./measure has been called on the problems of interest, ./report.py can print a nicely formatted report log.

Results

Results on an openSUSE 15.3 machine with an AMD EPYC 7282 processor:

box1l

method time ff_time ff_probe ff_probes ff_eff ram disk
fire 45.9 s -- -- -- -- 407 MB 1.6 GB
fire-nohint 38.0 s -- -- -- -- 442 MB 1.6 GB
kira 13.6 s -- -- -- -- 310 MB 42.0 MB
kira-firefly 46.7 s 38.5 s 14.9 ms 5.7 10^3 27.6% 1.4 GB 59.5 MB
kira-ratracer 43.8 s 36.4 s 4.8 ms 6.9 10^3 11.3% 1.4 GB 87.2 MB
kira-ratracer-eps0 9.7 s 3.5 s 2.8 ms 6.2 10^2 6.1% 606 MB 52.8 MB
kira-ratracer-eps0-scan 12.5 s 6.1 s 2.9 ms 9.2 10^2 5.5% 514 MB 51.9 MB
kira-ratracer-eps1 21.5 s 12.7 s 5.4 ms 1.1 10^3 6.0% 1.3 GB 85.7 MB
kira-ratracer-eps1-scan 22.2 s 15.2 s 5.0 ms 1.2 10^3 4.8% 1.1 GB 84.0 MB
kira-ratracer-eps2 25.5 s 17.0 s 6.1 ms 1.1 10^3 5.1% 2.0 GB 111 MB
kira-ratracer-eps2-scan 32.2 s 22.7 s 5.6 ms 1.3 10^3 3.9% 1.6 GB 108 MB
kira-ratracer-scan 40.5 s 33.4 s 5.0 ms 5.7 10^3 10.6% 1.2 GB 74.1 MB

box2l

method time ff_time ff_probe ff_probes ff_eff ram disk
fire !! 18000 s -- -- -- -- 3.5 GB 80.3 GB
fire-nohint 3848 s -- -- -- -- 3.9 GB 21.1 GB
kira 1126 s -- -- -- -- 5.8 GB 1.9 GB
kira-firefly 3933 s 3899 s 225 ms 6.3 10^4 45.8% 28.8 GB 3.1 GB
kira-ratracer 579 s 518 s 23.9 ms 2.0 10^4 11.6% 14.2 GB 1.0 GB
kira-ratracer-eps0 101 s 61.5 s 23.3 ms 2.5 10^3 11.8% 12.3 GB 1.3 GB
kira-ratracer-eps0-scan 134 s 95.6 s 22.6 ms 2.3 10^3 6.9% 12.4 GB 1.3 GB
kira-ratracer-eps1 189 s 136 s 38.7 ms 2.8 10^3 9.9% 12.6 GB 1.4 GB
kira-ratracer-eps1-scan 256 s 205 s 37.7 ms 2.6 10^3 5.9% 12.1 GB 1.4 GB
kira-ratracer-eps2 272 s 205 s 50.9 ms 2.8 10^3 8.6% 18.1 GB 1.5 GB
kira-ratracer-eps2-scan 366 s 304 s 49.4 ms 2.6 10^3 5.2% 15.5 GB 1.5 GB
kira-ratracer-scan 435 s 383 s 23.4 ms 1.3 10^4 10.2% 12.2 GB 833 MB

diamond2l

method time ff_time ff_probe ff_probes ff_eff ram disk
fire 20.2 s -- -- -- -- 352 MB 1.8 GB
fire-nohint 15.4 s -- -- -- -- 269 MB 1.8 GB
kira 8.7 s -- -- -- -- 177 MB 26.6 MB
kira-firefly 23.2 s 17.8 s 3.8 ms 5.8 10^3 15.3% 762 MB 29.4 MB
kira-ratracer 17.2 s 12.1 s 427 us 9.1 10^3 4.0% 1.0 GB 45.8 MB
kira-ratracer-eps0 6.5 s 2.6 s 405 us 4.7 10^2 0.9% 562 MB 16.5 MB
kira-ratracer-eps0-scan 8.6 s 4.9 s 412 us 7.6 10^2 0.8% 408 MB 15.9 MB
kira-ratracer-eps1 9.4 s 5.0 s 635 us 5.6 10^2 0.9% 917 MB 27.7 MB
kira-ratracer-eps1-scan 12.8 s 8.5 s 683 us 8.1 10^2 0.8% 815 MB 26.8 MB
kira-ratracer-eps2 12.6 s 7.3 s 806 us 5.5 10^2 0.8% 1.3 GB 38.4 MB
kira-ratracer-eps2-scan 17.6 s 12.6 s 858 us 8.1 10^2 0.7% 1.1 GB 37.1 MB
kira-ratracer-scan 16.0 s 11.6 s 438 us 5.8 10^3 2.7% 558 MB 28.7 MB

diamond3l

method time ff_time ff_probe ff_probes ff_eff ram disk
fire 134 s -- -- -- -- 749 MB 11.4 GB
fire-nohint 112 s -- -- -- -- 805 MB 11.4 GB
kira 21.3 s -- -- -- -- 858 MB 118 MB
kira-firefly 116 s 99.7 s 57.8 ms 3.3 10^3 23.8% 2.8 GB 116 MB
kira-ratracer 69.1 s 48.2 s 2.3 ms 6.7 10^3 3.9% 4.1 GB 184 MB
kira-ratracer-eps0 29.7 s 12.6 s 3.2 ms 4.1 10^2 1.3% 3.7 GB 103 MB
kira-ratracer-eps0-scan 42.6 s 25.9 s 3.3 ms 6.7 10^2 1.1% 3.7 GB 99.5 MB
kira-ratracer-eps1 41.7 s 21.7 s 5.8 ms 4.1 10^2 1.4% 4.9 GB 159 MB
kira-ratracer-eps1-scan 66.3 s 47.0 s 5.1 ms 6.6 10^2 0.9% 3.8 GB 154 MB
kira-ratracer-eps2 51.1 s 28.5 s 6.7 ms 4.1 10^2 1.2% 6.7 GB 208 MB
kira-ratracer-eps2-scan 84.9 s 63.2 s 6.8 ms 6.8 10^2 0.9% 5.0 GB 202 MB
kira-ratracer-scan 72.6 s 55.7 s 2.2 ms 4.3 10^3 2.2% 3.7 GB 116 MB

tth2l_b16

method time ff_time ff_probe ff_probes ff_eff ram disk
fire !! 1936 s -- -- -- -- 1.8 GB 4.4 GB
fire-nohint !! 18000 s -- -- -- -- 4.3 GB 36.1 GB
kira 21.8 s -- -- -- -- 1.1 GB 14.7 MB
kira-firefly 231 s 224 s 4.7 ms 1.5 10^5 40.3% 741 MB 20.1 MB
kira-ratracer 210 s 204 s 555 us 1.9 10^5 6.5% 1.0 GB 42.3 MB
kira-ratracer-eps0 20.3 s 15.0 s 578 us 3.5 10^4 16.6% 501 MB 20.1 MB
kira-ratracer-eps0-scan 27.1 s 22.2 s 571 us 2.8 10^4 9.1% 374 MB 18.7 MB
kira-ratracer-eps1 28.1 s 22.5 s 686 us 3.5 10^4 13.2% 818 MB 29.0 MB
kira-ratracer-eps1-scan 41.6 s 36.1 s 691 us 2.9 10^4 6.9% 608 MB 26.8 MB
kira-ratracer-eps2 32.8 s 26.8 s 767 us 3.5 10^4 12.4% 971 MB 33.5 MB
kira-ratracer-eps2-scan 50.6 s 44.8 s 773 us 2.9 10^4 6.2% 741 MB 31.0 MB
kira-ratracer-scan 112 s 106 s 531 us 1.2 10^5 7.5% 537 MB 30.2 MB

tth2l_b25

method time ff_time ff_probe ff_probes ff_eff ram disk
fire !! 513 s -- -- -- -- 781 MB 27.2 GB
fire-nohint !! 18000 s -- -- -- -- 2.7 GB 115 GB
kira 3156 s -- -- -- -- 4.4 GB 1.4 GB
kira-firefly 13407 s 13367 s 1.2 s 7.7 10^4 82.8% 4.2 GB 1.6 GB
kira-ratracer 2579 s 2451 s 59.0 ms 7.6 10^4 23.0% 3.3 GB 2.2 GB
kira-ratracer-eps0 799 s 697 s 75.0 ms 6.1 10^3 8.2% 2.0 GB 2.4 GB
kira-ratracer-eps0-scan 3368 s 3268 s 74.5 ms 1.7 10^4 4.7% 2.4 GB 2.2 GB
kira-ratracer-eps1 1088 s 970 s 90.6 ms 6.1 10^3 7.1% 3.1 GB 2.2 GB
kira-ratracer-eps1-scan 4906 s 4789 s 88.9 ms 1.7 10^4 3.9% 3.7 GB 2.2 GB
kira-ratracer-eps2 1324 s 1193 s 106 ms 6.1 10^3 6.7% 4.0 GB 2.4 GB
kira-ratracer-eps2-scan 6032 s 5905 s 103 ms 1.7 10^4 3.6% 4.7 GB 2.4 GB
kira-ratracer-scan 2759 s 2659 s 57.1 ms 5.3 10^4 14.3% 2.4 GB 2.2 GB

xbox2l2m

method time ff_time ff_probe ff_probes ff_eff ram disk
fire !! 18000 s -- -- -- -- 4.2 GB 28.3 GB
fire-nohint !! 18000 s -- -- -- -- 4.3 GB 28.8 GB
kira 15199 s -- -- -- -- 9.0 GB 549 MB
kira-firefly 2482 s 2470 s 182 ms 1.0 10^5 95.9% 2.1 GB 74.8 MB
kira-ratracer 713 s 692 s 23.4 ms 1.7 10^5 72.3% 1.8 GB 489 MB
kira-ratracer-eps0 190 s 163 s 47.8 ms 2.4 10^4 89.3% 865 MB 2.7 GB
kira-ratracer-eps0-scan 153 s 126 s 47.6 ms 1.7 10^4 81.9% 720 MB 2.7 GB
kira-ratracer-eps1 382 s 351 s 58.5 ms 4.2 10^4 88.2% 1.3 GB 2.8 GB
kira-ratracer-eps1-scan 299 s 269 s 58.0 ms 3.0 10^4 80.2% 1.2 GB 2.7 GB
kira-ratracer-eps2 710 s 673 s 70.1 ms 6.6 10^4 86.3% 2.2 GB 2.9 GB
kira-ratracer-eps2-scan 532 s 497 s 69.7 ms 4.6 10^4 80.6% 1.8 GB 2.9 GB
kira-ratracer-scan 412 s 393 s 23.3 ms 1.0 10^5 77.0% 1.3 GB 413 MB

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IBP solver benchmark


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