Updates:
Cc: Vinzent.Steinberg asmeurer
Comment #22 on issue 51 by smichr: RootOf for polynomial equations
http://code.google.com/p/sympy/issues/detail?id=51
Rather than opening a new issue I thought I would ask here whether factor
might benefit from replacing RootOf instances with dummy variables before
trying to factor. Their presence slows things down by a factor of 2:
timeit('sympy.factor(q)', '''import
sympy\nsympy.var('x');q=sympy.Mul(*[sympy.C.Dummy(str(i))-sympy.RootOf(sympy.Poly(1+3*x**2-4*x**5+x**6,x),i)
for i in range(6)])''',number=100)
79.699074044326863
timeit('qq=q.subs(zip(q.atoms(sympy.RootOf),
[sympy.C.Dummy("x")]*6))\nsympy.factor(qq)', '''import
sympy\nsympy.var('x');q=sympy.Mul(*[sympy.C.Dummy(str(i))-sympy.C.Dummy(str(i))
for i in range(6)])''',number=100)
43.89831361248423
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