Research map / Large language models / Reasoning and chain of thought
ReJump: A Tree-Jump Representation for Analyzing and Improving LLM Reasoning
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Proposes ReJump, a tree-jump representation of LLM reasoning traces (tree of partial solutions plus visitation order with calc/verify/backtrack transitions), an LLM-based extractor (TreeExtractor, Gemini 2.5 Pro) and metrics for exploration, overthinking, forgetting and verification, applied to analyze LRMs and to improve test-time selection.
Problem
Existing comparisons of large reasoning models focus on final accuracy, missing differences in reasoning behavior such as exploration, exploitation, overthinking, forgetting and verification. A structured representation is needed to analyze and compare reasoning traces.
Approach
Represent a reasoning trace as a visitation order over nodes of a tree of partial solutions, where transitions ("jumps") may be between non-adjacent nodes (backtrack, verify), and define tree- and jump-level metrics; an LLM agent extracts this representation from raw CoTs and the metrics are used both for analysis and for selecting among sampled outputs or prompts.
Key results
- TreeExtractor with Gemini 2.5 Pro reaches tree similarity 0.943 and jump similarity 0.940 against 82 ground-truth ReJump representations on Game of 24.
- Human evaluation of extracted ReJump on MATH500 gives 81% (DeepSeek-R1) and 80% (QwQ-32B) accuracy at pass@1, above 90% at pass@3.
- On Game of 24, Best-of-N selection by highest jump distance raises QwQ-32B pass@1 from 0.76 (majority vote) to 0.82 and Phi-4-reasoning-plus from 0.77 to 0.84.
Surprising findings
- LRMs achieve higher pass@1 than CoT-prompted LLMs mainly by generating more distinct solutions, with similar per-attempt success rates.
- Increasing in-context reasoning examples raises jump similarity to the teacher but does not consistently improve accuracy, and tree similarity shows no clear trend.
Limitations
- Extraction requires a separate capable LLM per trace, making it costly and slow for training-time analysis.
- Tree and jump similarity ignore semantic content and temporal ordering of actions.
- Requires task-specific definition of partial solutions in prompts.
Experimental setup
Datasets: MATH-500 Game of 24
Benchmarks: MATH-500 Game of 24
Metrics: pass@1 tree similarity jump similarity solution count jump distance success rate verification rate overthinking rate forgetting rate human accuracy of extracted ReJump
Baselines: Landscape of Thoughts Majority vote CoT-prompted LLMs
Builds on: Chain-of-Thought prompting Tree-of-Thought Zhang-Shasha tree edit distance DAPO RLVR
Closest papers by meaning
- Rectifying LLM Thought from Lens of Optimization (ICLR 2026 · similarity 0.91)
- Policy Guided Tree Search for Enhanced LLM Reasoning (ICML 2025 · similarity 0.90)
- GLoRe: When, Where, and How to Improve LLM Reasoning via Global and Local Refinements (ICML 2024 · similarity 0.89)
- RL Squeezes, SFT Expands: A Comparative Study of Reasoning LLMs (ICLR 2026 · similarity 0.89)
- RE-IMAGINE: Symbolic Benchmark Synthesis for Reasoning Evaluation (ICML 2025 · similarity 0.89)
- $\textbf{Re}^{2}$: Unlocking LLM Reasoning via Reinforcement Learning with Re-solving (ICLR 2026 · similarity 0.89)
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