If I compute a Gröbner basis using libSingular, it is much slower than using the Singular interface. Could this be related to the memory leaks or is it a different issue?
sage: I = sage.rings.ideal.Katsura(PolynomialRing(QQ, 'x', 9)) sage: %time gb1 = I.groebner_basis(algorithm='singular') CPU times: user 1.34 s, sys: 47.5 ms, total: 1.38 s Wall time: 13 s sage: I = sage.rings.ideal.Katsura(PolynomialRing(QQ, 'x', 9)) sage: %time gb2 = I.groebner_basis(algorithm='libsingular') CPU times: user 49.2 s, sys: 122 ms, total: 49.4 s Wall time: 49.4 s sage: gb1 == gb2 True This defaults to the Singular function `groebner`, but choosing others like `std` or `slimgb` gives similar timings. Over finite fields, the above issue does not seem to occur – the libSingular computation is slightly faster than Singular, as expected. However, there seems to be a different issue with the Singular interface: repeating the same computation causes a significant slowdown. This does not happen using libSingular. sage: I = sage.rings.ideal.Katsura(PolynomialRing(GF(2^31-1), 'x', 10)) sage: %time gb1 = I.groebner_basis(algorithm='singular') CPU times: user 1.86 s, sys: 110 ms, total: 1.97 s Wall time: 18.4 s sage: I = sage.rings.ideal.Katsura(PolynomialRing(GF(2^31-1), 'x', 10)) sage: %time gb2 = I.groebner_basis(algorithm='singular') CPU times: user 1.89 s, sys: 117 ms, total: 2 s Wall time: 1min 13s sage: gb1 == gb2 True This was tested using Sage 8.7 on a MBP 8,1 with OS X 10.13.6. I observed similar results on other machines as well. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/745e9776-a3b3-4040-b677-bb5b08e2d628%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
