Thinking Costs Tokens: When More Structure is Worth the Price

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arXiv cs.AI · Thomas Nolasque, John Grey, Calista Pham, Ankit Vani · 2026-08-31 AI

[Submitted on 27 Aug 2026]

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Abstract:Adding inference structure to a language model lets it search, verify, and revise, but these actions consume the very budget they are supposed to use well. In this paper, we investigate whether there exists a token-budget threshold, below which the overhead of planning and verification hurts performance and above which it helps. We evaluate two systems on FinQA and TAT-QA financial reasoning tasks, using GPT-5.4 mini across 14 budget tiers ranging from 250 to 42,000 output-equivalent tokens. The first system is a monolith, which is a single LLM call. The second is a verified search architecture that adds planning, label-blind checking, and repair capabilities. We run 1,000 cases for a total of 28,000 completed cells. Both systems score 0% at the two lowest tiers, where neither can fit a complete prompt. At 1,000 tokens, the monolith reaches 18% accuracy while verified search scores near 0%, since the planning overhead leaves no room for an answer. From 1,500 tokens onward, verified search surpasses the monolith and maintains a consistent advantage, reaching approximately 44% at the highest tiers while the monolith reaches approximately 40%. The crossover occurs between 1,000 and 1,500 output-equivalent tokens, confirmed by a strict intersection-union test ($p \le 0.001$ at both endpoints).

Submission history

From: Thomas Nolasque [view email]
[v1] Thu, 27 Aug 2026 05:24:16 UTC (139 KB)

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추출 본문 · 출처: arxiv.org · https://arxiv.org/abs/2608.27506