Comment #1 on issue 3237 by ness...@gmail.com: cancel() should use ratsimpmodprime when necessary
http://code.google.com/p/sympy/issues/detail?id=3237

This works, but it is going to be just as slow as trigsimp_groebner. The cancellation algorithms should be able to work in QQ(i), or whatever the appropriate field. In fact:

In [3]: cancel((x**2 + 1)/(I*x - 1), extension=I)
Out[3]: -ⅈ⋅(x - ⅈ)

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