Verified tensor-program optimization via high-level scheduling rewrites
We present a lightweight Coq framework for optimizing tensor kernels written in a pure, functional array language. Optimizations rely on user scheduling using series of verified, semantics-preserving rewrites. Unusually for compilation targeting imperative code with arrays and nested loops, all rewr...
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| Vydáno v: | Proceedings of ACM on programming languages Ročník 6; číslo POPL; s. 1 - 28 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
01.01.2022
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| ISSN: | 2475-1421, 2475-1421 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | We present a lightweight Coq framework for optimizing tensor kernels written in a pure, functional array language. Optimizations rely on user scheduling using series of verified, semantics-preserving rewrites. Unusually for compilation targeting imperative code with arrays and nested loops, all rewrites are source-to-source within a purely functional language. Our language comprises a set of core constructs for expressing high-level computation detail and a set of what we call reshape operators, which can be derived from core constructs but trigger low-level decisions about storage patterns and ordering. We demonstrate that not only is this system capable of deriving the optimizations of existing state-of-the-art languages like Halide and generating comparably performant code, it is also able to schedule a family of useful program transformations beyond what is reachable in Halide. |
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| ISSN: | 2475-1421 2475-1421 |
| DOI: | 10.1145/3498717 |