LGSep 2, 2025

SimpleTIR: End-to-End Reinforcement Learning for Multi-Turn Tool-Integrated Reasoning

arXiv:2509.02479v2120 citationsh-index: 9
AI Analysis

It addresses a critical bottleneck in extending tool-integrated reasoning to multi-turn scenarios for AI researchers and practitioners, offering a novel stabilization method.

The paper tackles the problem of training instability in multi-turn Tool-Integrated Reasoning (TIR) for Large Language Models, caused by distributional drift from external tool feedback, and introduces SimpleTIR, a plug-and-play algorithm that filters out void turns to stabilize training, achieving a state-of-the-art AIME24 score of 50.5 from a baseline of 22.1.

Large Language Models (LLMs) can significantly improve their reasoning capabilities by interacting with external tools, a paradigm known as Tool-Integrated Reasoning (TIR). However, extending TIR to multi-turn scenarios using Reinforcement Learning (RL) is often hindered by training instability and performance collapse. We identify that such instability is primarily caused by a distributional drift from external tool feedback, leading to the generation of low-probability tokens. This issue compounds over successive turns, causing catastrophic gradient norm explosions that derail the training process. To address this challenge, we introduce SimpleTIR , a plug-and-play algorithm that stabilizes multi-turn TIR training. Its core strategy is to identify and filter out trajectories containing void turns, i.e., turns that yield neither a code block nor a final answer. By removing these problematic trajectories from the policy update, SimpleTIR effectively blocks the harmful, high-magnitude gradients, thus stabilizing the learning dynamics. Extensive experiments show that SimpleTIR achieves state-of-the-art performance on challenging math reasoning benchmarks, notably elevating the AIME24 score from a text-only baseline of 22.1 to 50.5 when starting from the Qwen2.5-7B base model. Furthermore, by avoiding the constraints of supervised fine-tuning, SimpleTIR encourages the model to discover diverse and sophisticated reasoning patterns, such as self-correction and cross-validation.

Foundations

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