DARTS.8.2.10.pdf
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Document
Verified Compilation and Optimization of Floating-Point Programs in CakeML (Artifact)
Authors
Heiko Becker 
,
Eva Darulova ,
Magnus O. Myreen ,
Zachary Tatlock ,
Ramana Kumar ,
Yong Kiam Tan ,
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Part of:
Issue:
Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022)
Volume: DARTS, Volume 8 (ECOOP 2022)
Conference: European Conference on Object-Oriented Programming (ECOOP)
Journal: Dagstuhl Artifacts Series (DARTS) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2022-06-23
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Cite As Get BibTex
Heiko Becker, Robert Rabe, Eva Darulova, Magnus O. Myreen, Zachary Tatlock, Ramana Kumar, Yong Kiam Tan, and Anthony Fox. Verified Compilation and Optimization of Floating-Point Programs in CakeML (Artifact). In Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022). Dagstuhl Artifacts Series (DARTS), Volume 8, Issue 2, pp. 10:1-10:2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/DARTS.8.2.10
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DARTS-8-2-10-artifact-fa4b2ffb32fb16c31dcf1f91a23e7567.zip
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fa4b2ffb32fb16c31dcf1f91a23e7567
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The artifact has been evaluated as described in the ECOOP 2022 Call for Artifacts and the ACM Artifact Review and Badging Policy
Abstract
Verified compilers such as CompCert and CakeML have become increasingly realistic over the last few years, but their support for floating-point arithmetic has thus far been limited. In particular, they lack the "fast-math-style" optimizations that unverified mainstream compilers perform. Supporting such optimizations in the setting of verified compilers is challenging because these optimizations, for the most part, do not preserve the IEEE-754 floating-point semantics. However, IEEE-754 floating-point numbers are finite approximations of the real numbers, and we argue that any compiler correctness result for fast-math optimizations should appeal to a real-valued semantics rather than the rigid IEEE-754 floating-point numbers. This document describes the artifact for RealCake, an extension of CakeML that achieves end-to-end correctness results for fast-math-style optimized compilation of floating-point arithmetic. This result is achieved by giving CakeML a flexible floating-point semantics and integrating an external proof-producing accuracy analysis. RealCake’s end-to-end theorems relate the I/O behavior of the original source program under real-number semantics to the observable I/O behavior of the compiler generated and fast-math-optimized machine code.
Subject Classification
ACM Subject Classification
- Software and its engineering → Formal software verification
- Software and its engineering → Compilers
- Software and its engineering → Software performance
Keywords
- compiler verification
- compiler optimization
- floating-point arithmetic
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