> For example we want to evaluate Integral(awful_expressions_of_x,
> (x,0,y)) with respect to y.
>
> lambdify will fail to produce a numeric value.
> experimental_lambdify will succeed by using evalf (there are also
> checks for complex number, for numpy functions and what not, but in
> this case they are not important). Evalf is using mpmath for that
> evaluation. But how will you force it to use mpi?

It seems that if you implement the interval arithmetics in one of the
numerical libraries instead of sympy itself you guarantee the
existence of expressions that can not be evaluated. But I may be
wrong, I don't know enough about this part of sympy.

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