Comment #6 on issue 2245 by [email protected]: assumption while canceling the polynomials
http://code.google.com/p/sympy/issues/detail?id=2245
On the other hand simpify() should go the other direction and be feature full. This is not the case currently as simplify() == cancel() + eps. I agree that there are many places where "simplification" procedures are used without sufficient care, but to fix this, we need to isolate those places (which you do) and either fix those problems in-place or provide additional abstraction layer on top of specific "simplification" functions we have in SymPy (better). I put simplification in quotes, because cancel() (for example) is not really a simplification procedure and certain in cases it can make expressions under certain measures larger than the initial expressions (e.g. if we take the number of terms into consideration, not the total degree of the resulting rational function).
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