#12339: Free Groups
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Reporter: mmarco | Owner: joyner
Type: enhancement | Status: needs_review
Priority: minor | Milestone:
Component: group theory | Resolution:
Keywords: free groups | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Miguel Marco | Merged in:
Dependencies: | Stopgaps:
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Comment (by mmarco):
Can you please make simple speed benchmarks in different systems? I have
observed a big speed difference from my gentoo box to a mandriva system
(where sage runs in a ubuntu chroot). I suspect it has to do with the
sage-gap communication (maybe something with the way shm or pts work?)
Here are my benchmarks:
In my gentoo box (intel core i7, 6GB RAM)
{{{
sage: time F=FreeGroup(4)
Time: CPU 0.00 s, Wall: 0.00 s
sage: time F.inject_variables()
Defining x0, x1, x2, x3
Time: CPU 0.03 s, Wall: 0.04 s
sage: time x=F([1,2,3,4,1,2,3,4])
Time: CPU 0.01 s, Wall: 0.01 s
sage: time x^2
x0*x1*x2*x3*x0*x1*x2*x3*x0*x1*x2*x3*x0*x1*x2*x3
Time: CPU 0.07 s, Wall: 0.08 s
}}}
In the mandriva-chroot-ubuntu (two AMD-opteron 6100, 16 cores in total,
128 GB RAM):
{{{
sage: time F=FreeGroup(4)
Time: CPU 0.03 s, Wall: 0.50 s
sage: time F.inject_variables()
Defining x0, x1, x2, x3
Time: CPU 0.04 s, Wall: 2.32 s
sage: time x=F([1,2,3,4,1,2,3,4])
Time: CPU 0.02 s, Wall: 0.86 s
sage: time x^2
x0*x1*x2*x3*x0*x1*x2*x3*x0*x1*x2*x3*x0*x1*x2*x3
Time: CPU 0.10 s, Wall: 5.34 s
}}}
It really makes no sense such a slowdown. Any ideas?
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12339#comment:30>
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