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Equation 5 · Part 1 · A Practitioner's Map of Agent Evaluation Frameworks

Symbol hat p

p^=0.5\hat p = 0.5
p^\hat p

What this part means

hat p is part of the quantity the equation computes from the expression on the right.

Its job in the formula

hat p is part of the quantity the equation computes from the expression on the right.

The passage around this formula

gives a rough sense of how much noise sits under a given n , even granting the generous and almost certainly false assumption that every task in the set is an equally difficult coin flip. At the widest plausible spread, p^\hat p = 0.5 , a 95% interval ( zα/2z_{\alpha/2} ≈\approx 1.96 ) works out to roughly ±\pm 13.9 points on a fifty-task set — close to the size of tau-bench’s original airline domain or GAIA’s seventy-five-question Level 3 tier — versus roughly ±\pm 4.4 points on SWE-bench Verified’s five hundred tasks, or…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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