Comment #6 on issue 2878 by asmeu...@gmail.com: numerical evaluation problem
http://code.google.com/p/sympy/issues/detail?id=2878
I think Maple uses a set machine precision, if I remember correctly.
Anyway, here's what it does for your problem:
a:=-63*sin(x)**4/128 + 63*sin(x)**2/64 + 63*cos(x)**4/128 - 63/128;
63
4 63 2 63 4 63
a := ---- sin(x) + -- sin(x) + --- cos(x) - ---
128
64 128 128
subs(x=0.6, a);
63
4 63 2 63 4 63
---- sin(0.6) + -- sin(0.6) + --- cos(0.6) - ---
128
64 128 128
evalf(subs(x=0.6, a));
-9
0.1
10
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