July 19th, 2024

Finding Simple Rewrite Rules for the JIT with Z3

At PLDI conference, CF Bolz-Tereick presented a paper with Max Bernstein on using Z3 for superoptimization. They encoded PyPy's JIT integer operations into Z3 formulas to find and prove simplification rules efficiently.

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Finding Simple Rewrite Rules for the JIT with Z3

At the PLDI conference in Copenhagen, CF Bolz-Tereick presented a paper co-authored with Max Bernstein and discussed using Z3 for superoptimization and finding missing optimizations with John Regehr. They explored using Z3 to find local peephole rewrite rules for PyPy's JIT intermediate representation, focusing on integer operations like int_add(x, 0) -> x. By leveraging Z3's Python API, they aimed to ensure the correctness and completeness of these simplification rules. The process involved encoding PyPy's JIT integer operations into Z3 formulas and using Z3 to prove the validity of rewrite rules such as int_and(x, x) -> x and int_or(x, x) -> x. Additionally, they delved into synthesizing constants for patterns like op(x, x) == c1, op(x, c1) == x, and op(c1, x) == x by employing quantifiers in Z3. This approach allowed them to automate the discovery of suitable constants for these rewrite rules, enhancing the optimization process for PyPy's JIT compiler.

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