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Equation 26 · Part 2 · Measuring AI Agent Reliability: What the Evidence Actually Supports

superscript

k^k
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

One. Vendor system cards and agent-benchmark leaderboards will increasingly report an explicit reliability statistic — a pass ^k -style figure or a confidence interval — alongside a headline pass@1 or pass@k number, because the gap between the two is now well documented rather than speculative. Disconfirmed if major leaderboards in 2029 still report a single unqualified success rate with no repeated-trial or uncertainty disclosure.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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