Updates:
Status: Accepted
Comment #5 on issue 1441 by asmeurer: integrate takes forever
http://code.google.com/p/sympy/issues/detail?id=1441
Regarding comment 5 in issue 1843, yes, a good deal of time is spent doing
expansion on a huge expression. I
plan on rewriting heurish to use Poly wherever relevant, so that should
speed things up. But ultimately, what
causes integrals like this to hang forever is trying to solve a system of
~600 linear equations with ~450
unknowns. It only does this particularly hard one in a second pass to
heurisch that tries rewriting the expression
in terms of tangents first (the other one takes a while, too, but it
finishes). I am not sure what to do about
that, other than implementing the full algorithm, which has tests to exit
early if there is no elementary integral.
Perhaps fixing issue 1850 would help. I don't know much about matrix
algorithms. Can rref be made more
efficient for sparse matrices (the average equation has about 4 variables)?
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