On Apr 9, 3:09 pm, Ondrej Certik <[email protected]> wrote:
>
> And if this helps, we can then try to think how to make this
> automatic, so that you can just write:
>
> first * second - third**2
>
> and it will be the same fast.
>
> Ondrej

Okay, I had already assumed that if first * second - third**2 was
inside quo() like

quo(first * second - third**2, fourth)

that it would decide how to expand the numerator optimally, but maybe
not quite yet.

I see that sympy/sympy/polyclasses.py has a Dense Multivariate
Polynomial class with methods that overload mul, sub, and sqr, which
hopefully the following utilizes

quo(Poly(first, domain='QQ') * Poly(second, domain='QQ') - Poly(third,
domain='QQ')**2, Poly(fourth, domain='QQ'))

So far, that is only using a small amount of RAM, but it is still
calculating. I will report back when it finishes or errors.

Thanks,
Ben

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