Just wanted to pop in and say that I really like this conversation.

Question, how fast could sympy core be if we were to pull out some of the
assumptions logic until a final step at the end.  What stops core from
reaching polys speed?
On Apr 23, 2014 9:08 AM, "Ondřej Čertík" <ondrej.cer...@gmail.com> wrote:

> On Wed, Apr 23, 2014 at 10:02 AM, Aaron Meurer <asmeu...@gmail.com> wrote:
> > Just use x = Poly(x**x). That's the dense representation. No idea how
> > to do this with ring(). Mateusz will have to show us. But the
> > polynomials you're creating in this benchmark are univariate and dense
> > anyway.
>
> We should also be plotting the dependence on N, as different data
> structures have different behaviors,
> for example hash table (unordered_map, or dict in Python) vs.
> red-black trees (std::map).
>
> Ultimately though, and that's the main issue, instead of concentrating
> on these artificial benchmarks, I am concentrating
> on real world applications, thus PyDy. If PyDy could be done with
> sympy.polys, then that would be good, but
> I am afraid it can't, as it has stuff like sin, cos, unevaluated
> functions like f1(t), and so on.
>
> Ondrej
>
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