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Equation 3 · From Origins to Frontier: A History of Claude Code and Agentic Development Tools

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tt

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tt

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the time or time index used in this relationship.

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where T50(t)T_{50}(t) is the length of task, measured in human-hours, that a frontier agent could complete autonomously with 50% reliability at time t . This is an empirical regression over six years of a specific evaluation methodology, not a law of nature, and METR’s own reporting is explicit that the trend could bend in either direction; it is included here because it is the clearest available answer to “how would you know if agentic coding tools were actually getting more autonomous,” as distinct from “how would you know if a vendor said so.”

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