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arXiv · 2603.21836

Instruction Set and Language for Symbolic Regression

Ezequiel Lopez-Rubio·Mario Pascual-Gonzalez
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Abstract

A fundamental but largely unaddressed obstacle in Symbolic regression (SR) is structural redundancy: every expression DAG with admits many distinct node-numbering schemes that all encode the same expression, each occupying a separate point in the search space and consuming fitness evaluations without adding diversity. We present IsalSR (Instruction Set and Language for Symbolic Regression), a representation framework that encodes expression DAGs as strings over a compact two-tier alphabet and computes a pruned canonical string -- a complete labeled-DAG isomorphism invariant -- that collapses all the equivalent representations into a single canonical form.

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Ezequiel Lopez-Rubio, Mario Pascual-Gonzalez. 2026-03-23. Instruction Set and Language for Symbolic Regression. https://arxiv.org/abs/2603.21836

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