Comment #9 on issue 2895 by [email protected]: minpoly hangs on this expresion
http://code.google.com/p/sympy/issues/detail?id=2895

Does unrad give wrong answers, though? It can make a good first pass heuristic, I think (unless it is just as slow as minpoly, which it shouldn't be). It also will need to test for irreducibility, and if the resulting polynomial isn't, use the root isolation algorithm to grab the correct factor (factor() factors into irreducibles, so this is just a matter of using intervals() along with careful precision tracking to evalf()).

Then again, if unrad is only powerful enough to deal with simple expressions, then maybe it won't really deal with those radicals that minpoly is slow for anyway. Have you played with it?

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