No, in 7.3 Sage isn't multithreading in this example:

jb12407@lmfdb1:~$ sage73
sage: %time M = ModularSymbols(5113, 2, -1)
CPU times: user 599 ms, sys: 25 ms, total: 624 ms
Wall time: 612 ms
sage: %time S = M.cuspidal_subspace().new_subspace()
CPU times: user 1.32 s, sys: 89 ms, total: 1.41 s
Wall time: 1.44 s

I guess the issue may be OpenBLAS rather than Linbox, then, since LinBox
uses BLAS. I misread https://trac.sagemath.org/ticket/21323, which I now
realize says "LinBox parallel routines (not yet exposed in SageMath)", when
I thought that the cause may be LinBox. My Sage 7.3. uses the system ATLAS,
and I don't know whether that might sometimes use multithreading.


On Tue, Oct 4, 2016 at 8:06 PM, Francois Bissey <
francois.bis...@canterbury.ac.nz> wrote:

> openmp is disabled in linbox/ffpack-fflas so it must come from somewhere
> else.
> Only R seems to be linked to libgomp (openmp) on my vanilla install.
> Curiosity: do you observe the same behaviour in 7.3?
>
> François
>
> > On 5/10/2016, at 07:26, Jonathan Bober <jwbo...@gmail.com> wrote:
> >
> > See the following timings: If I start Sage with OMP_NUM_THREADS=1, a
> particular computation takes 1.52 cpu seconds and 1.56 wall seconds.
> >
> > The same computation without OMP_NUM_THREADS set takes 12.8 cpu seconds
> and 1.69 wall seconds. This is particularly devastating when I'm running
> with @parallel to use all of my cpu cores.
> >
> > My guess is that this is Linbox related, since these computations do
> some exact linear algebra, and Linbox can do some multithreading, which
> perhaps uses OpenMP.
> >
> > jb12407@lmfdb1:~$ OMP_NUM_THREADS=1 sage
> > [...]
> > SageMath version 7.4.beta6, Release Date: 2016-09-24
> > [...]
> > Warning: this is a prerelease version, and it may be unstable.
> > [...]
> > sage: %time M = ModularSymbols(5113, 2, -1)
> > CPU times: user 509 ms, sys: 21 ms, total: 530 ms
> > Wall time: 530 ms
> > sage: %time S = M.cuspidal_subspace().new_subspace()
> > CPU times: user 1.42 s, sys: 97 ms, total: 1.52 s
> > Wall time: 1.56 s
> >
> >
> > jb12407@lmfdb1:~$ sage
> > [...]
> > SageMath version 7.4.beta6, Release Date: 2016-09-24
> > [...]
> > sage: %time M = ModularSymbols(5113, 2, -1)
> > CPU times: user 570 ms, sys: 18 ms, total: 588 ms
> > Wall time: 591 ms
> > sage: %time S = M.cuspidal_subspace().new_subspace()
> > CPU times: user 3.76 s, sys: 9.01 s, total: 12.8 s
> > Wall time: 1.69 s
> >
> >
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