> Does anyone have any idea how match() works in sympy?
> And suggestions on implementing the function to pick up a non-
> polynomial term from an expression is welcomed.

Yes to both. I wrote up my notes when trying to understand what was
going on here in Issue 1601:

http://code.google.com/p/sympy/issues/detail?id=1601

As far as the second goes, you can use the method .as_poly() to see if
a given term of an Add can be made into a polynomial or not to answer
the question. Is this what you want (to identify polynomial terms in
x):

h[3] >>> eq=x**2+(x+1)*(2+x)+exp(x)*(1+x)
h[3] >>> [a for a in eq.as_Add() if a.as_poly(x)]
[(1 + x)*(2 + x), x**2]

/chris

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