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RESEARCH · RESEARCH · #2974

CIRCE predicts LLM task difficulty from constraint structure

CIRCE is a method that uses a cheap LLM to build a Constraint Intermediate Representation which deterministically compiles into a constraint graph, and then applies a GNN encoder to predict whether an LLM will solve a given problem. Evaluated across seven reasoning benchmarks (including SAT, logic, and math) and four LLMs, a randomly initialized GNN improved negative log-likelihood (0.465 → 0.423) and AUROC (0.691 → 0.727) versus the strongest baselines reported.

KEY POINTS

  1. CIRCE is a method that uses a cheap LLM to build a Constraint Intermediate Representation which deterministically compiles into a constraint graph, and then applies a GNN encoder to predict whether an LLM will solve a given problem.
  2. Evaluated across seven reasoning benchmarks (including SAT, logic, and math) and four LLMs, a randomly initialized GNN improved negative log-likelihood (0.465 → 0.423) and AUROC (0.691 → 0.727) versus the strongest baselines reported.
  3. Preemptively estimating task difficulty from constraint structure can improve model routing, test-time compute allocation, and indicate when additional tools are needed.

WHY IT MATTERS

Preemptively estimating task difficulty from constraint structure can improve model routing, test-time compute allocation, and indicate when additional tools are needed.

SOURCES & TIMELINE

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