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Advanced Reasoning

90 summarised stories about Advanced Reasoning, each linking back to the original source. Browse all topics →

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Tuesday, 4 August 2026

OpenAI’s Astra just proved 10 long-standing math and science theorems. The tokens cost $2,000.

The New Stack 2 months ago 38 ● 9 sources

OpenAI's internal Astra model generated machine-verified proofs for 10 long-standing mathematical and theoretical computer science problems. The company estimated the inference cost at approximately $2,000 in GPT-5.6 Sol API tokens, marking the first time it quantified the cost of frontier reasoning work. This pricing framework could enable smaller research teams to access frontier AI reasoning through APIs rather than building their own models, shifting from training costs to inference budgets as the relevant planning metric.

What's the largest software project AI can complete on its own?

Epoch AI 2 months ago 33

Researchers introduced MirrorCode, a benchmark that tests AI models on reimplementing entire software programs end-to-end without access to original source code. Claude Opus 4.7 successfully reimplemented gotree, a 16,000-line bioinformatics toolkit in Go, in 14 hours at a cost of $251, a task that would take a human engineer 2–17 weeks. The benchmark's open-source release and leaderboard enable systematic measurement of AI capabilities on long-horizon coding tasks that require weeks of inference budget rather than dollars.

AI Skill of the Day: Put Your AI Through a Builder-Critic Loop

Something Big Is Happening 2 months ago 43 ● 5 sources

Matt Shumer describes a technique called a Gauntlet Loop for improving AI agent outputs by having builders and independent critics repeatedly compare work against concrete reference examples until reaching a quality bar. He generated a 55,000-line Call of Duty game using Claude Opus 5 with this method, achieving results higher quality than typical AI demonstrations. The approach applies broadly to code, design, writing, and other outputs, with key principles including separating builder and critic roles, setting ambitious goals with concrete quality standards, and allowing agents to decompose work independently rather than following prescribed steps.

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