The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic

Dominika Agnieszka Długosz, Arlindo L. Oliveira, Natalia Díaz-Rodríguez


Abstract
The GSM-Symbolic benchmark (Mirzadeh et al., 2025) reported consistent performance drops across 25 Large Language Models (LLMs) when tested on template-generated variants of GSM8K problems, concluding that the models lack genuine reasoning capabilities. We argue that this conclusion rests on shaky statistical ground. Re-evaluating 20 open-weight models using bootstrapped Generalised Linear Mixed Models with per-question random effects, we find that only 8 exhibit statistically significant performance changes under the original prompt format. Moreover, we identify a previously unacknowledged factor: the distribution of integers in problem texts of the main GSM-Symbolic dataset is systematically shifted towards larger values relative to the original GSM8K (K-S statistic = 0.12, p < 0.001), contradicting the original authors’ claims. Controlling for this large-number effect accounts for significance in half of the remaining cases. Among models with statistically significant performance deltas, we identify distinct, model-specific behavioural failure profiles — including fragility of variable binding, arithmetic limitations, and dual-task interference — underscoring that blanket claims about LLM reasoning risk being both statistically premature and mechanistically misleading.
Anthology ID:
2026.emnlp-main.1487
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:
33984–34024
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1487/
DOI:
Bibkey:
Cite (ACL):
Dominika Agnieszka Długosz, Arlindo L. Oliveira, and Natalia Díaz-Rodríguez. 2026. The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 33984–34024, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic (Długosz et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.1487.pdf