From Atomic to Agentic: Towards Interpretable Evaluation of LLMs’ Agentic Mathematical Capabilities

Jiayi Kuang, Yinghui Li, Yunze Song, Keyu Chen, Zhifeng Shen, Yangning Li, Yidong Wang, di Yin, Ruizhi Qiao, Xing Sun, Kai Jin, Ying Shen, Liang Lin, Philip S. Yu


Abstract
Large Language Models (LLMs) are evolving from performing end-to-end mathematical reasoning to integrating agentic intelligence. However, most existing math benchmarks evaluate only final answers. This outcome-oriented evaluation provides limited diagnostic value for identifying process-level failures or rigorous logic, failing to guide the transformation of LLMs into robust agents. To bridge this gap, we present a process-level benchmark designed to evaluate the inherent agentic mathematical reasoning abilities of LLMs. Our framework aligns problem-solving agentic behaviors with a structured taxonomy of reusable mathematical atomic capabilities. We design a comprehensive suite of planning, action, and feedback tasks across both textual and multimodal contexts, supported by an automated pipeline that synthesizes high-quality trajectories and produces fine-grained annotations via controlled LLM rewriting. Experiments reveal that models with stronger end-to-end accuracy can exhibit markedly different agentic capability profiles. This demonstrates that process-level evaluation is crucial for interpreting the true potential of LLMs and guiding the development of next-generation mathematical agents.
Anthology ID:
2026.emnlp-main.194
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
4437–4465
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URL:
https://aclanthology.org/2026.emnlp-main.194/
DOI:
Bibkey:
Cite (ACL):
Jiayi Kuang, Yinghui Li, Yunze Song, Keyu Chen, Zhifeng Shen, Yangning Li, Yidong Wang, di Yin, Ruizhi Qiao, Xing Sun, Kai Jin, Ying Shen, Liang Lin, and Philip S. Yu. 2026. From Atomic to Agentic: Towards Interpretable Evaluation of LLMs’ Agentic Mathematical Capabilities. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 4437–4465, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
From Atomic to Agentic: Towards Interpretable Evaluation of LLMs’ Agentic Mathematical Capabilities (Kuang et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.194.pdf