Nemo es a new computer algebra package for Julia. Fateman benchmark with order 30(!):<

I just ran perf/fateman.jl for <code class="notransla

Benchmark for Nemo about taylorseries.jl HOT 1 OPEN

juliadiff commented on July 29, 2024

Benchmark for Nemo

from taylorseries.jl.

Comments (1)

lbenet commented on July 29, 2024

I just ran perf/fateman.jl for order=30 (commit d3a2a4e). This is what I got:

Running Fateman with order 30...
Running fateman1
 54.692885 seconds (6.12 k allocations: 96.893 MB, 0.31% gc time)
    Average time of 5 runs: 55.188458611600005
    Minimum time of 5 runs: 54.079864712
Running fateman2
 28.587750 seconds (6.10 k allocations: 96.892 MB, 0.30% gc time)
    Average time of 5 runs: 27.975334688400004
    Minimum time of 5 runs: 27.771479865
Running fateman3
 56.520459 seconds (12.47 k allocations: 397.929 MB, 0.30% gc time)
    Average time of 5 runs: 55.2927196246
    Minimum time of 5 runs: 54.557762124
Running fateman4
 28.212759 seconds (13.04 k allocations: 417.338 MB, 0.61% gc time)
    Average time of 5 runs: 28.1224877806
    Minimum time of 5 runs: 27.622198831

(Remember that fateman2 and fateman4 run faster because they compute $ s^2 + s $ instead of
$ s*(s+1) $.)

I think we are doing quite well, even if we are definitely slower than Nemo.jl, since Nemo wraps very sophisticated things like Pari/GP, which have years of experience.

from taylorseries.jl.

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