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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2605.28694 |
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| _version_ | 1866913168337403904 |
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| author | Garcia, Guillermo |
| author_facet | Garcia, Guillermo |
| contents | Modern equality saturation systems excel at expression-level rewrites by exploring large spaces of equivalent programs without suffering from the phase-ordering problem. How- ever, these systems struggle to represent equivalence directly over arbitrary control-flow graphs, often requiring normal- ization into structured or tree-like forms before optimization can occur. We present the E-Path data structure, a prototype frame- work for equality-saturation-style optimization over control- flow graphs. Instead of representing congruence between individual expressions, the E-Path records equivalence be- tween instruction sequences embedded within a compiler intermediate representation. In this prototype, E-Path is in- stantiated over a restricted ANF-based control-flow graph used in a compiler backend, but the model itself is intended to be IR-agnostic. By treating instruction sequences as the fundamental unit of congruence, the E-Path enables non-destructive optimiza- tion of loops and other control-flow structures while preserv- ing multiple equivalent program variants simultaneously. This allows classical CFG optimizations to be expressed as rewrite-driven transformations without destructive mutation of the underlying graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28694 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | E-Path: Equality Saturation for Control-Flow Graphs Garcia, Guillermo Programming Languages Modern equality saturation systems excel at expression-level rewrites by exploring large spaces of equivalent programs without suffering from the phase-ordering problem. How- ever, these systems struggle to represent equivalence directly over arbitrary control-flow graphs, often requiring normal- ization into structured or tree-like forms before optimization can occur. We present the E-Path data structure, a prototype frame- work for equality-saturation-style optimization over control- flow graphs. Instead of representing congruence between individual expressions, the E-Path records equivalence be- tween instruction sequences embedded within a compiler intermediate representation. In this prototype, E-Path is in- stantiated over a restricted ANF-based control-flow graph used in a compiler backend, but the model itself is intended to be IR-agnostic. By treating instruction sequences as the fundamental unit of congruence, the E-Path enables non-destructive optimiza- tion of loops and other control-flow structures while preserv- ing multiple equivalent program variants simultaneously. This allows classical CFG optimizations to be expressed as rewrite-driven transformations without destructive mutation of the underlying graph. |
| title | E-Path: Equality Saturation for Control-Flow Graphs |
| topic | Programming Languages |
| url | https://arxiv.org/abs/2605.28694 |