I do have a function that makes a heavy computation in Julia, from \mathbb R^n to \mathbb R^m. It uses loops, multiplications, additions, divisions, substractions, powers and exp/log.
I am looking to inverse the function. I can carry out the inverse when the number of parameters and outputs is small, but when it gets larger i cannot by hand, and the combinatorics are hard.
Is there somewhere a software that could carry out the inversion for me ? I am not very informed about what kind of methods exists, which makes searching for implementation harder.But since Julia has awsome automatic differentation things, my guess is that someone came with this problem before me