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Comment #2 on issue 3742 by [email protected]: rref very slow
http://code.google.com/p/sympy/issues/detail?id=3742
I created a benchmark out of this example in
https://github.com/mattpap/sympy/commit/cb568ade291d13267b55cb98faac68af1675af95.
On 3.4 GHz CPU it takes just 2.4 seconds to compute:
In [1]: from sympy.polys.benchmarks.bench_solvers import *
In [2]: %time time_solve_lin_sys_10x8()
CPU times: user 2.38 s, sys: 0.03 s, total: 2.41 s
Wall time: 2.37 s
This is a nice benchmark because the problem is GCD intensive due to large
arguments to cancel(). Currently most time is spent dividing polynomials,
because we use heuristic GCD algorithm. Better GCD algorithm should reduce
computation time.
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