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Just discovered e-graph recently and I have a good understanding of compiler from taking compiler class at university.

I would like to understand why you say e-graph would need control-flow to be revamped.

Do you have anything I could read on it ?

RVSDG (and the like) is needed to cope with shared state like globally addressable memory; plain e-graphs are only suited for pure code.

Happy to chat more btw, feel free to hit me up on discord.