BAGEN - Sokoban - Interval Reward: leaderboard

BAGEN (arXiv 2606.00198) on Sokoban puzzle rollouts, remaining cost in tokens: at each prefix of its own successful rollouts a model predicts an interval for the cost still to come. Score: mean interval reward (0-1), coverage of the true remaining cost times the interval's tightness, so a wide safe interval scores low. Unlike cost leaderboards, the model estimates its own spend before it happens. Each model is scored on its own rollouts. Higher is better. Source: https://arxiv.org/abs/2606.00198

Metric: Mean interval score (coverage x tightness, 0-1). Source: arxiv.org. Saturation forecast: Around August 2027. 5 models tracked.

Top models

#ModelScoreOverall rank
1Gemini 3.1 Pro (Preview) (Low)0.31#64 (Gemini 3.1 Pro (Preview))
2GPT-5.2 (Non-reasoning)0.17#115 (GPT-5.2)
3Claude Sonnet 4.6 (Low)0.15#94 (Claude Sonnet 4.6)
4Claude Opus 4.7 (Low)0.11#51 (Claude Opus 4.7)
5Qwen 3 235B A22B 2507 Instruct0.03#315

No result here: #3 Claude Opus 5.5, #6 GPT-6 Astra, #7 GPT-6.1 Sol.

Interactive version: theaggregate.ai/benchmark?slug=bagen-sokoban-interval-reward · How It Works · Data refreshed daily, snapshot 2026-11-05.