>
> What is "here"?
>
AMD Phenom 3GHz, 8GB RAM, no other big jobs
Since that expression is large, the cache size of the CPU might
> significantly impact performance.
Wouldn't that affect any of the following?
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sage: K.<sqrt3> = QuadraticField(3)
sage: R.<a1,a2,a3,a4,a5> = K[]
sage: timeit("(a1+a2+a3+a4+sqrt3*a5)^25")
5 loops, best of 3: 140 ms per loop
sage: a1,a2,a3,a4,a5=var('a1,a2,a3,a4,a5')
sage: timeit("ex=expand((a1+a2+a3+a4+sqrt(3)*a5)^25)")
5 loops, best of 3: 5.29 s per loop
I was wrong in the poly(SR) case. That's even slower than SR.expand():
sage: R.<a1,a2,a3,a4,a5> = PolynomialRing(SR, 'a1,a2,a3,a4,a5')
sage: %time p=(a1+a2+a3+a4+sqrt(3)*a5)^25
stopped after a minute
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