I have recently added support for generating constraints on reals in ATS.
The generated constraints can be exported for solving via Z3:
https://github.com/githwxi/ATS-Postiats-contrib/blob/master/projects/MEDIUM/ATS-extsolve-z3/
Here is an example verifying the two solutions to a quadratic equation:
There are a few lines in the following script showing how patsolve_z3 can
be built:
Cheers!
–Hongwei