More realistically you can use an AI to generate vaguely realistic PGO data (profile guidance is where the real speed comes from). This has already been done at least by researchers.
That's not a bad idea, but PGO is pretty limited. I'm thinking about things like rewriting a loop to use vector instructions; something which compilers are absolutely terrible at but ChatGPT is actually pretty good at.
Enabling PGO when building the D compiler made it almost 50% faster on some parts of the test suite (and fairly reasonable big files at that) - speedup elsewhere was not as dramatic but still a tidy win.
What ideas do you have for doing that in anything under exponential time?
And maybe you can't make a polynomial time verifier which works in the general case, but maybe you can make a useful one which handles a lot of cases.
Get an ML model to take a stab at optimizing, have a solid system for validating that two pieces of code are equivalent according to the C abstract machine, throw away the ML-suggested optimizations which change the semantics of the code, keep the ones which keep semantics the same.