Comment #11 on issue 2607 by [email protected]: as_numer_denom() is too slow
http://code.google.com/p/sympy/issues/detail?id=2607

Re http://code.google.com/p/sympy/issues/detail?id=2607#c5

If you had vanilla powers on vanilla bases, like `x**a` in two denominators, they would combine properly to give `x**2*a` and then dividing by `x**a` would properly give `x**a`. So I think that would always work. I think I tried to speed up that loop by computing the product once and divide through by each denominator and it ended up being slower than the present approach, but it sounds like you are trying some different things. I think Ronan's comment about combining similar denoms is good.

I can't tell from your notation what you mean exactly in comment 7. Do you mean

`(...((a1/d1 + a2/d2) + a3/d3) + a4/d4) ... ) + an/dn`

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