Updates:
        Summary: Exact, algebraic, and integer_power substitution

Comment #6 on issue 2026 by asmeurer: Exact, algebraic, and integer_power substitution
http://code.google.com/p/sympy/issues/detail?id=2026

From comment 16 of issue 2081:

"""
But we need three types of substitution. Exact substitution (issue 2026), algebraic substitution (what it does now), and a mix that does the algebraic substitution only if the resulting power is an integer multiple of the original (issue 790, particularly comment 5).

In my opinion, the full algebraic substitution should be the default, and the others should be accessible via keyword arguments. Or at least make it that way for the ones where it is valid assumptions wise. In the other cases, perhaps the integer powers one should be default, but overridable via some algebraic=True flag.
"""

We should make this issue about all three types of substitution, I think.

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