Comment #5 on issue 2607 by asmeurer: as_numer_denom() is too slow
http://code.google.com/p/sympy/issues/detail?id=2607
It can happen. Here's a trivial example:
In [13]: 2*(x + y)*z*(S(1)/2)
Out[13]:
z⋅(2⋅x + 2⋅y)
─────────────
2
I don't know if it can also happen besides the automatic distribution. I'm
afraid of something along the lines of exponents combining and then not
un-combining because of assumptions problems. Are my fears unfounded?
Another problem is non-commutative symbols. In that case, things won't
cancel. So for that, we will need an algorithm that doesn't rely on
dividing out the terms.
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