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Efficient E-Matching for Super Optimizers


Introduction Modern theorem provers and optimizing compilers are built on an interesting concept: the ability to recognize when two things are equal, even if they look completely different. It’s not enough to just match the syntax - we need to match the semantics as well.

Modern theorem provers and optimizing compilers are built on an interesting concept: the ability to recognize when two things are equal, even if they look completely different. The key insight I find most interesting is to treat pattern matching as a join-like query over a relational structure - an approach that enables systematic pruning, reuse, and a sort of incremental compilation. This only scratches the surface - we may explore more in future posts and dive into advanced topics like multipattern matching, backtracing strategies, and how the E-Graph extraction process works.

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Efficient E-Matching

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Super Optimizers