It should also be said that "can't differentiate a function" is a pretty high bar for Monte Carlo methods, which will still give you a gradient for un-differentiable functions.
"We have no idea why the fuck these neutrons are doing what they're doing, because we haven't figured the physics out yet, but we realized we can still statistically simulate what they're going to do to a good enough level of probability."
That's literally why they invented Monte Carlo as part of the Manhattan Project.
It should also be said that "can't differentiate a function" is a pretty high bar for Monte Carlo methods, which will still give you a gradient for un-differentiable functions.
"We have no idea why the fuck these neutrons are doing what they're doing, because we haven't figured the physics out yet, but we realized we can still statistically simulate what they're going to do to a good enough level of probability."
That's literally why they invented Monte Carlo as part of the Manhattan Project.