Status: New
Owner: [email protected]
Labels: Type-Defect Priority-Medium Simplify

New issue 1303 by [email protected]: Simplify not cancelling fractions  
correctly
http://code.google.com/p/sympy/issues/detail?id=1303

>>> var('zr zc')
(zr, zc)
>>> zup = zr
>>> zlow = 1/(1/zc + 1/(zc+zr))
>>> zc/(zc+zr) * zlow/(zlow+zup)
zc/((zc + zr)*(1/zc + 1/(zc + zr))*(zr + 1/(1/zc + 1/(zc + zr))))
>>> simplify(_)
2*zc**2/(6*zc*zr + 2*zc**2 + 2*zr**2)

Notice how it is possible to cancel both the numerator and the denominator  
by 2. Therefore for
some reason sympy is not completely simplifying the expression.

The expected result is: zc**2/(3*zc*zr + zc**2 + zr**2)

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