solveset_real is probably just finding all the roots and filtering out
the nonreal ones. It's probably possible to make this work in a way
that doesn't try to expand the 10000 degree polynomial, but it isn't
implemented yet.

The equation can obviously be inverted manually by applying the
operations in "reverse" order (-(w*0.99**(1/10000) - 1)).  The w
should be a root of unity of degree 10000. The solver would then need
to recognize that only two values for w give real answers. The
difficulty is how to make this general enough that it applies to more
than just this specific problem.

Actually, even giving all 10000 values of w as RootOf would probably
be fast enough to return a full complex solution set.

Aaron Meurer

On Fri, May 5, 2017 at 10:45 AM, Samuel S. Watson
<[email protected]> wrote:
> The command
>
> solve((1-x)**10000 - 0.99, x)
>
> doesn't really work, but maybe that's no so bad since `solve` is searching
> for all complex roots. But even
>
> from sympy.solvers.solveset import solveset_real
> solveset_real((1-x)**10000 - 0.99, x)
>
> is very slow. Manually raising both sides to the 10000 makes it fine, of
> course. Should the solver be capable of this type of manipulation?
>
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