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ProRL: Prolonged Reinforcement Learning Expands Reasoning Boundaries in Large Language Models
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Proposes ProRL, a prolonged RL recipe (GRPO+DAPO tweaks, KL penalty, periodic reference-policy reset) over 136K multi-domain verifiable tasks, yielding a 1.5B reasoning model that expands pass@k boundaries over its DeepSeek-R1-Distill-Qwen-1.5B base.
Problem
Whether RL genuinely expands LLM reasoning capabilities beyond the base model's distribution, and whether prolonged RL compute reliably improves reasoning, given prior pass@k findings that RL only sharpens existing outputs.
Approach
Extend RL training to thousands of steps using a KL penalty against a periodically hard-reset reference policy, DAPO-style clip-higher and dynamic sampling, and a broad multi-domain verifiable task mix, so that the model discovers solutions the base model cannot reach under extensive sampling.
Key results
- Nemotron-Research-Reasoning-Qwen-1.5B averages 60.14 pass@1 on math versus 44.45 for DeepSeek-R1-Distill-Qwen-1.5B, and 37.49 vs 23.08 on code.
- On Reasoning Gym logic puzzles the average rises from 4.24 to 59.06, and GPQA Diamond from 15.86 to 41.78.
- Pass@k analysis shows gains are largest on tasks where the base model is weakest; some tasks (e.g., boxnet, family_relationships) move from near-zero to solved.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Train DeepSeek-R1-Distill-Qwen-1.5B with prolonged ProRL | DeepSeek-R1-Distill-Qwen-1.5B · Math (Avg) | pass@1: 44.45 -> 60.14 | Helped |
| Train DeepSeek-R1-Distill-Qwen-1.5B with prolonged ProRL | DeepSeek-R1-Distill-Qwen-1.5B · Code (Avg) | pass@1: 23.08 -> 37.49 | Helped |
| Train DeepSeek-R1-Distill-Qwen-1.5B with prolonged ProRL | DeepSeek-R1-Distill-Qwen-1.5B · GPQA Diamond | score: 15.86 -> 41.78 | Helped |
| Train DeepSeek-R1-Distill-Qwen-1.5B with prolonged ProRL | DeepSeek-R1-Distill-Qwen-1.5B · IFEval | score: 44.05 -> 66.02 | Helped |
| Train DeepSeek-R1-Distill-Qwen-1.5B with prolonged ProRL | DeepSeek-R1-Distill-Qwen-1.5B · Reasoning Gym | score: 4.24 -> 59.06 | Helped |
| Train on prolonged ProRL for the unseen boxnet task | DeepSeek-R1-Distill-Qwen-1.5B · Reasoning Gym: boxnet | score: 0.00 -> 7.91 | Helped |
| Use prolonged training rather than the intermediate checkpoint | ProRL · Code generation | pass@128 | Helped |
| Use prolonged training rather than the intermediate checkpoint | ProRL · Tasks where the base model has high pass@128 | pass@128 | Hurt |
| Increase the context window to 16k tokens in the final training stage (ablation) | ProRL · AIME and other domains | validation performance | Helped |
| Increase rollout count from 16 to 32 (ablation) | ProRL · Validation benchmarks | validation performance | Helped |
| Add instruction-following data to the training mix (ablation) | ProRL · Instruction following | performance | Helped |
| Penalize responses that do not terminate correctly (ablation) | ProRL · Response generation | response length | Helped |
Surprising findings
- Pass@128 often declines on math tasks after RL despite pass@1 gains, indicating sharpening rather than expansion on those tasks.
- Response length first decreases and then increases with validation improvements, and length is not decisive for performance.
Limitations
- Experiments are limited to a 1.5B model, so scalability to larger models is unclear.
- Periodic hard resets of reference policy and optimizer add complexity and may give inconsistent results.
- Training requires substantial compute, limiting accessibility.
Experimental setup
Datasets: DeepScaleR Dataset Eurus-2-RL Dataset SCP-116K Reasoning Gym Llama-Nemotron post-training dataset PRIME validation set AIME2024 AIME2025 AMC MATH Minerva Math OlympiadBench
Benchmarks: AIME2024 AIME2025 AMC MATH Minerva Math OlympiadBench APPS CodeContests Codeforces TACO HumanEval+ LiveCodeBench
Metrics: pass@1 pass@16 pass@128 pass@256 creativity index
Baselines: DeepSeek-R1-Distill-Qwen-1.5B DeepSeek-R1-Distill-Qwen-7B DeepScaleR-1.5B DeepCoder-1.5B
Builds on: GRPO DAPO DeepScaleR verl
Closest papers by meaning
- Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection (ICLR 2026 · similarity 0.94)
- On the Interplay of Pre-Training, Mid-Training, and RL on Reasoning Language Models (ICML 2026 · similarity 0.93)
- RL Squeezes, SFT Expands: A Comparative Study of Reasoning LLMs (ICLR 2026 · similarity 0.93)
- LoongRL: Reinforcement Learning for Advanced Reasoning over Long Contexts (ICLR 2026 · similarity 0.92)
- The Reasoning Boundary Paradox: How Reinforcement Learning Constrains Language Models (NeurIPS 2026 · similarity 0.92)
- On Predictability of Reinforcement Learning Dynamics for Large Language Models (ICLR 2026 · similarity 0.92)
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