Hi! Am Mittwoch, 29. März 2017 14:14:28 UTC+2 schrieb Simon King: > > I will open a trac ticket for it. >
I opened https://trac.sagemath.org/ticket/22707. With the branch from there (that hasn't been tested yet, so, handle with care!), one has sage: R.<x,y,z> = FreeAlgebra(Integers(2)) sage: 1 in R True sage: %timeit (x+y+z)*(x+y+z) 10000 loops, best of 3: 99.2 µs per loop sage: R.<x,y,z> = FreeAlgebra(Integers(2), implementation='letterplace') sage: 1 in R True sage: %timeit (x+y+z)*(x+y+z) 10000 loops, best of 3: 31.7 µs per loop sage: R = DiGraph({1:{1:['x','y','z']}}).path_semigroup().algebra(Integers(2)) sage: R.inject_variables() Defining e_1, x, y, z sage: 1 in R True sage: %timeit (x+y+z)*(x+y+z) 100000 loops, best of 3: 4.5 µs per loop So, if you care for the speed of arithmetic operations, you shouldn't use the current default implementation of FreeAlgebra. I guess changing the default should be another trac ticket. Best regards, Simon -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
