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About this paper
Samuel Coward, George A. Constantinides, Theo Drane
This research integrates abstract interpretation with e-graphs, demonstrating that their combined use leads to more precise program analyses and expands the applicability of conditional rewrite rules. The framework achieved an average 15% reduction in interval width for numerical expressions with less than 1% runtime overhead, while also enabling the automated discovery of iterative refinement methods.
Key insights
- E-graphs inherently enhance abstract interpretation precision by clustering equivalent expressions into e-classes, facilitating meet operations.
- Abstract interpretation provides the necessary means to validate conditions for conditional rewrite rules, thereby expanding e-graph optimization capabilities.
- Cyclic dependencies within e-graphs can be formally interpreted as abstract fixpoint equations, leading to the automatic discovery and application of iterative refinement algorithms.
Summary by alphaXiv.
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