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Formal Theorem Proving on mathlib (val)

62.6Pass@1θ_mathlib (expert iterated on mathlib-train)
46.06450.35754.6558.943Feb 3, 2022

Evaluation results

MethodLinks
θ_mathlib (expert iterated on mathlib-train)search width (d)=512, expansion factor (e)=8, parameters=774M2022.0262.670.775.8
θ_full (expert iterated on full curriculum)search width (d)=512, expansion factor (e)=8, parameters=774M2022.0261.769.875.3
θ₁ (value-function based search)search width (d)=512, expansion factor (e)=8, parameters=774M2022.0256.366.372
θ1d (expansions)=512, e (samples per expansion)=8, objective=proofsize, search=best-first search2022.0256.366.3—
θ1 (outcome objective)d (expansions)=512, e (samples per expansion)=8, objective=outcome, search=best-first search2022.0255.665.9—
θ0 (PACT setup)d (expansions)=512, e (samples per expansion)=16, search=cumulative logprob priority best-first search2022.0248.557.6—
PACTsearch width (d)=512, expansion factor (e)=82022.0248.4——
PACTd (expansions)=512, e (samples per expansion)=162022.0248.4——
θ0d (expansions)=512, e (samples per expansion)=8, search=cumulative logprob priority best-first search2022.0246.757.5—