This is an important aspect that's being ignored IMO. For a lot of problems, currently you either don't have an an analytical solution and the alternative is a

This is an important aspect that's being ignored IMO. For a lot of problems, currently you either don't have an an analytical solution and the alternative is a brute force-ish numerical approach. As a result the computational cost of simulating things enough times to be able to detect behavior that can inform theories/models (potentially yielding a good analytical result) is not viable. In this regard, ML models are promising.