Comment #5 on issue 1568 by smichr: factoring is working too hard
http://code.google.com/p/sympy/issues/detail?id=1568
Also, perhaps factor should do deep factoring first to obtain a better
factorization.
Consider:
df=-(1 - x)**2*(4 + x)/((2 + x)*(a + x)**2) - (1 - x)**2*(4 + x)/((2 +
x)**2*(a +
x)) - (2 - 2*x)*(4 + x)/((2 + x)*(a + x)) + (1 - x)**2/((2 + x)*(a + x))
factor(df)
(1 - x)*(-7/((2 + x)*(a + x)) - 4/((2 + x)*(2*a*x + a**2 + x**2)) - 4/((a +
x)*(4 +
4*x + x**2)) + x**2/((2 + x)*(2*a*x + a**2 + x**2)) + x**2/((a + x)*(4 +
4*x + x**2))
- 3*x/((2 + x)*(a + x)) + 3*x/((2 + x)*(2*a*x + a**2 + x**2)) + 3*x/((a +
x)*(4 + 4*x
+ x**2)))
If the denominators had been factored it would have been possible to
simplify this
further:
n,d=df.as_numer_denom();factor(n)/factor(d)
-(1 - x)*(8 + 16*x + 18*a + 10*a*x + 5*x**2 + 2*a*x**2 + x**3)/((2 +
x)**2*(a + x)**2)
It seems like factor should do this without user preprocessing.
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