#8483: Multiplication faster than squaring?
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Reporter: malb | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.3.4
Component: basic arithmetic | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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This is odd:
{{{
#!python
sage: R=GF(2^283,'a')
sage: x=R.random_element()
sage: y=R.random_element()
}}}
First, note that squaring is slower than multiplication:
{{{
#!python
sage: %timeit z=x^2
625 loops, best of 3: 3.79 µs per loop
}}}
{{{
#!python
sage: %timeit z=x*y
625 loops, best of 3: 3.17 µs per loop
}}}
Now observe that squaring done differently is indeed faster:
{{{
#!python
sage: %timeit z=x*x
625 loops, best of 3: 1.91 µs per loop
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8483>
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