>> You don’t even have to build your own solvers. The commercial/open source ones are typically good enough.

But as a maintainer of solvespace (Open Source CAD software with geometric/algebraic constraint system) I am left wondering if this can be applied to our constraint solver, which I didn't write. It solves systems of algebraic constraints using some form of Newtons method, partial derivatives, jacobian... All stuff I'm familiar with, but not in great detail. Figuring out how best (and weather) to apply this might be a major digression ;-)