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Brittlebench: Quantifying LLM robustness via prompt sensitivity
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Introduces Brittlebench, a variance-decomposition meta-evaluation that applies 15 semantics-preserving prompt perturbations to six MCQ benchmarks and separates item-difficulty variance from perturbation-induced variance across open-weight and commercial LLMs.
Problem
Static benchmark scores may overstate model capability because they ignore sensitivity to semantics-preserving prompt variations (typos, spacing, padding, paraphrasing), and no principled method quantifies how much performance variance comes from prompt formulation.
Approach
A variance decomposition (law of total variance, equivalent to a nested random-effects ANOVA) splits correctness variance over data items and perturbations into item-difficulty and perturbation-driven components, yielding model- and benchmark-level brittleness scores over a taxonomy of perturbations.
Key results
- Semantics-preserving perturbations reduce average accuracy by up to ~12% (Qwen3-4B few-shot prompt padding with new lines drops 12.83%), and Claude 4.5 Opus drops ~2% on MMLU under character typos.
- Perturbation-driven variance accounts for roughly half of total variance in most open-weight models and more than ~25% for commercial models; MMLU and GPQA are dominated by perturbation variance.
- Model rankings change under a single perturbation in 63% of cases; CoT reduces the perturbation-induced accuracy drop only from 2.79% to 2.38% for Claude 4.5 Opus.
Surprising findings
- Paraphrasing perturbations are benign and occasionally improve open-weight model accuracy, possibly due to self-bias or standardization of language.
- Chain-of-thought improves accuracy but only weakly mitigates brittleness (17% relative reduction in drop).
Limitations
- GPT-5 evaluated in minimal reasoning mode, so results are a lower bound on its performance.
- Semantic preservation is defined behaviorally and partly validated with embedding similarity; some perturbations may alter meaning and paraphrase quality had modest LLM-judge agreement (Spearman 0.447).
- Evaluation limited to MCQ benchmarks and a small set of models; mixed-effects CoT effect size is small.
Experimental setup
Datasets: MMLU ARC TruthfulQA MathQA LogiQA GPQA
Benchmarks: MMLU ARC TruthfulQA MathQA LogiQA GPQA
Metrics: accuracy accuracy drop variance decomposition (brittleness score) Spearman rank correlation McNemar test cosine similarity
Baselines: Claude 4.5 Opus 0-shot unperturbed GPT-5 0-shot unperturbed
Builds on: lm-evaluation-harness PromptRobust EmotionPrompt
Closest papers by meaning
- On the Worst Prompt Performance of Large Language Models (NeurIPS 2024 · similarity 0.92)
- Quantifying Language Models' Sensitivity to Spurious Features in Prompt Design or: How I learned to start worrying about prompt formatting (ICLR 2024 · similarity 0.91)
- Remarkable Robustness of LLMs: Stages of Inference? (NeurIPS 2025 · similarity 0.90)
- Mapping from Meaning: Addressing the Miscalibration of Prompt-Sensitive Language Models (AAAI 2025 · similarity 0.90)
- An Empirical Analysis of Uncertainty in Large Language Model Evaluations (ICLR 2025 · similarity 0.90)
- PertEval: Unveiling Real Knowledge Capacity of LLMs with Knowledge-Invariant Perturbations (NeurIPS 2024 · similarity 0.89)
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