Aaron, what do you think if I try to write a PR introducing a matching map?
For example, something behaving like
>>> ri = MatcherMap()
>>> x = symbols('x')
>>> a = Wild('a', exclude=[x])
>>> b = Wild('b', exclude=[y])
>>> ri[a] = lambda a, x : a * x
>>> ri[cos(a + b*x)] = lambda a, b, x : sin(a + b*x)/b
>>> ri[cos(2)]
cos(2)*x
>>> ri[cos(2+3*x)]
sin(2+x)/3
>>> def f(a, x):
... if a != -1:
... return x**(a+1)/(a+1)
... else:
... return log(x)
>>> ri[x**a] = f
Writing it the unoptimized way wouldn't be that difficult.
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