Comment #4 on issue 1374 by fredrik.johansson: simplify(x**2-x**2.0) does
not yield 0.
http://code.google.com/p/sympy/issues/detail?id=1374
It is debatable whether the Integer and Real exponent should be considered
cancellable. Mathematica doesn't think so:
In[1]:= x^2.0 - x^2
2 2.
Out[1]= -x + x
In[2]:= Simplify[%]
2 2.
Out[2]= -x + x
But I'm not quite sure of the pros and cons.
Changing this should be possible without making Real(2.0) -> Integer(2).
SymPy
already thinks that
>>> x**2 == x**2.0
True
so the question is why Add and simplify don't already make use of this fact.
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