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Published equation contexts

T50(t)≈T50(t0)⋅2 (t−t0)/d,d≈7 monthsT_{50}(t) \approx T_{50}(t_0) \cdot 2^{\,(t - t_0)/d}, \qquad d \approx 7\ \text{months}

Why this formula appears here

It is intuitive to expect an agentic session to improve as it accumulates context about a task. The measured pattern runs the other way. METR’s time-horizon research tracks the length of task — measured in how long a skilled human would take — that a frontier model can complete autonomously with a given reliability, and finds current frontier models near 100% success on tasks taking a human under four minutes, collapsing to under 10% success on tasks taking more than about four hours, with Claude 3.7 Sonnet reported specifically among the models exhibiting this drop-off [ 13 ] . The organization’s headline trend — the task length completable at 50% reliability doubling roughly every seven…

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tt

Symbol t

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t0t_0

Symbol t_0

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dd

Symbol d

sensitive to task selection and human-baseline methodology, even though the qualitative exponential trend is one they hold with more confidence [ 13 ].

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Published contexts (1)

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T50(t)≈T50(t0)⋅2 (t−t0)/d,d≈7 months,T_{50}(t) \approx T_{50}(t_0) \cdot 2^{\,(t - t_0)/d}, \qquad d \approx 7\ \text{months},

Equation 3 · AI Agents & Systems

Ten Failure Modes That Define Production Claude Code Use

This equation gives an approximation: it relates the quantities while allowing an approximation.

It is intuitive to expect an agentic session to improve as it accumulates context about a task. The measured pattern runs the other way. METR’s time-horizon research tracks the length of task — measured in how long a skilled human would take — that a frontier model can complete autonomously with a given reliability, and finds current frontier models near 100% success on tasks taking a human under four minutes, collapsing to under 10% success on tasks taking more than about four hours, with Claude 3.7 Sonnet reported specifically among the models exhibiting this drop-off [ 13 ] . The organization’s headline trend — the task length completable at 50% reliability doubling roughly every seven…

Meanings in this article

  • T50T_{50}: the task duration completable at 50% reliability at year t , METR’s fit is [displayed formula].
  • dd: sensitive to task selection and human-baseline methodology, even though the qualitative exponential trend is one they hold with more confidence [ 13 ].
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