Updates:
Cc: mattpap
Comment #8 on issue 1441 by asmeurer: integrate takes forever
http://code.google.com/p/sympy/issues/detail?id=1441
This is a lot of work, but in the end we will arrive
with fast linear algebra in SymPy.
Yes, that would be way more work than I can afford this summer (it could
probably make a nice GSoC project in
the future). I think issue 1850 might help a little, because the current
routine is calling simplify on each pass
through the rref. But yes, based on what I have seen in the polys, gmpy
mpq's would be a great improvement
over Rationals in the matrices.
What is the rationale for the second pass through heurisch, rewriting
expressions (line 397 in the master
risch.py)? If I remove it, not a single test fails. Furthermore, the
integral from this issue actually finishes
(returns an Integral) after about 3 minutes.
Anyway, for now, I will rewrite heurisch using Polys. I will have a much
better plan of action once I have done
more work on the full algorithm, so I can see exactly where things should
fall into place, i.e., using heurisch as a
preprocessor to the full algorithm.
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