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RecentarXiv preprint

Sharpening Tax in Post-Training

Distinguish first-attempt accuracy, repeated-sampling coverage and consistency. Compute sharpening tax and learn why a positive tax need not mean a worse model.

Breakdown by FDE Interviews · 10 min read · Updated

About the original · 2026
AUTHORS
Oh, Zeng, Qi, Zhmoginov, et al.
FROM
Meta Superintelligence Labs, University of Wisconsin–Madison, NYU, Stanford University
PUBLISHED
Oct 2026 · arXiv preprint
IN THIS BREAKDOWN · 10 SECTIONS

You can read 17% of this breakdown.

01

The paper in one minute

Sharpening Tax studies how post-training changes an agent's success distribution. A tuned model may solve more tasks on its first attempt while repeatedly failing a subset that a less concentrated base policy occasionally solves. That distinction matters when a system can generate several candidates and reliably recognize a successful one.

The authors compare base and post-trained model pairs on interactive benchmarks. Base models receive a lightweight harness that helps them use the required interfaces. The study reports frequent tradeoffs between single-attempt accuracy and success after many independent rollouts, then introduces a statistic summarizing the change in test-time scalability.

The paper also proposes posterior-tempered group sampling, or PTGS. During RL training, it estimates prompt difficulty and varies sampling temperature: harder prompts receive more exploration, while easier prompts receive more concentrated sampling. The reported controlled experiments improve both accuracy and coverage relative to their fixed-temperature baselines.

The metric needs careful interpretation. A positive tax can arise because a policy loses recoverable tasks, but it can also arise because it succeeds sooner and therefore benefits less from retries. Read the tax beside absolute success, consistency and cost. The official project and code provide the study's implementation and experimental context.

THE IDEA, VISUALLY
POSITIVE TAX DOES NOT AUTOMATICALLY MEAN WORSE QUALITY Synthetic example: every task improves from 0.2 to 0.8 success probability per independent rollout. 0.0 0.5 1.0 pass@k 1 2 4 8 Independent rollout budget k Post: p = 0.8 Better at every shown budget Base: p = 0.2 More of its success arrives through retries Read tax beside pass@1, pass@K and cost. Earlier success and lost coverage can both reduce the paper's scalability statistic. Original analytical example; see the executed exercise. These curves are not measured model results.
Our analytical counterexample, computed by the exercise: every task becomes more likely to succeed, yet the calibrated tax is positive because the improved policy saturates sooner. This illustrates the distinction acknowledged in section 6, not a measured model comparison.
Research notes: the problem, approach and results
42 cases

14 model pairs across three benchmarks, section 2

36 / 42

positive calibrated tax at 128 rollouts, section 4

5 seeds

PTGS training comparisons, section 5

THE PROBLEM

Post-training can improve first-attempt performance while changing how much additional independent sampling helps.

THE IDEA

Measure the full coverage curve and a normalized scalability difference, then adapt training-rollout temperature to prompt difficulty.

THE RESULT

The study finds common coverage tradeoffs, but the tax alone cannot distinguish lost coverage from faster success.

02

Why it matters to an FDE

A one-shot support assistant and an offline coding search system need different success profiles. The assistant may value a strong first answer and predictable behavior. The coding system may afford several isolated attempts, provided tests can identify a useful result. A single leaderboard score cannot represent both requirements.

The paper provides vocabulary for that decision, but repeated attempts are not free. They consume tokens, latency and evaluator capacity. For agents that mutate state, retries may also require a clean environment or explicit recovery semantics; blindly repeating an irreversible action is not equivalent to independent sampling.

Use inference-time compute to define the real budget and trajectory evaluation to define success. If the system cannot distinguish a good candidate from a bad one, oracle pass@k coverage overstates the result a user will receive.

THE FULL BREAKDOWN

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  • ◇1 architecture diagram
  • </>2 runnable code blocks
  • ▦3 results tables
  1. 03Key takeaways

    Six distinctions for interpreting coverage curves and the proposed training sampler

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  2. 04How it works

    Derive the scalability metric and follow prompt-adaptive temperature during training

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  3. 05The numbers that matter

    Separate the broad checkpoint comparison from the smaller controlled PTGS experiments

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  4. 06Try it yourself

    Construct a positive-tax counterexample and test the PTGS temperature map

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  5. 07Where it breaks

    Recognize verifier limits, correlated retries and confounding from different scaffolding

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  6. 08Using it on a deployment

    Define the operating point before choosing coverage, consistency or an adaptive training sampler

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  7. 09Interview angles

    Explain a positive tax without overclaiming capability loss or a production benefit

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