I get your analogy, but LLMs are inherently non deterministic. That’s the last thing you want your compiler to be.
The system has no ideas, it just has its state.
Unless you are using ideas as a placeholder for “content” or “most likely tokens”.
There are a few models of what's happening inside that hold different predictive power, just like how physics has different formalisms for e.g. classical mechanics. You can probably use the same models for biological systems and entire organizations, collectives, and processes that exhibit learning/prediction/compression on a certain scale, regardless of the underlying architecture.