Equality saturation is a program optimization technique based on non-destructive rewriting and a form of abstract interpretation called e-class analysis. Existing e-class analyses are pessimistic and therefore typically imprecise when analyzing cyclic programs, such as those in SSA form. We show that a straightforward optimistic variant of e-class analysis can result in unsoundness, due to a subtlety in how e-graphs represent programs. We propose an abstract interpretation algorithm that circumvents this issue and can optimistically analyze e-graphs during equality saturation. This results in a unified algorithm for optimistic analysis and non-destructive rewriting. We implement a prototype abstract interpreter and equality saturation tool for SSA programs. Our tool exhibits precision improvements over pure abstract interpretation (without rewriting) and pessimistic e-class analysis on example programs. Additionally, its performance is comparable to existing abstract interpretation and e-class analysis techniques.
Wed 17 JunDisplayed time zone: Mountain Time (US & Canada) change
16:10 - 17:50 | Abstract InterpretationPLDI Research Papers at Flatirons 2 Chair(s): Mukund Raghothaman University of Southern California | ||
16:10 20mTalk | SAIL: Sound Abstract Interpreters with LLMs PLDI Research Papers Qiuhan Gu University of Illinois Urbana-Champaign, Avaljot Singh University of Illinois Urbana-Champaign, Gagandeep Singh University of Illinois Urbana-Champaign DOI | ||
16:30 20mTalk | Evolving Abstract Transformers for Gradient-Guided, Adaptable Abstract Interpretation PLDI Research Papers Shaurya Gomber University of Illinois Urbana-Champaign, Debangshu Banerjee University of Illinois Urbana-Champaign, Gagandeep Singh University of Illinois Urbana-Champaign DOI Pre-print | ||
16:50 20mTalk | Abstract Interpretation with Confidence PLDI Research Papers DOI | ||
17:10 20mTalk | Optimism in Equality Saturation PLDI Research Papers Russel Arbore University of California at Berkeley, Alvin Cheung University of California at Berkeley, Max Willsey University of California at Berkeley DOI Pre-print | ||