Comment #10 on issue 3223 by smi...@gmail.com: degree((x+1)**10000) takes
too long
http://code.google.com/p/sympy/issues/detail?id=3223
Here's a more explicit example of what I showed above:
def deg(e, s):
... try:
... return -e.subs(x,1/x).leadterm(x)[1]
... except:
... return e.subs(x, 1/x).as_leading_term(x).subs(x,
1/x).as_base_exp()[1]/s.as_base_exp()[1]
...
deg(exp(x)**2+2*exp(x)+x, exp(x))
2
deg(x**2+3*x, x)
2
deg(4*x**3 - x**2+3*x, x)
3
But if you enter a "non-generator" the answer is not what you are probably
looking for:
deg(exp(x)**2+2*exp(x)+x, x**2)
x
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