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Equation 1 · Part 8 · How Benchmark Contamination Actually Works in Agentic Evaluation

subscript

sobserved=scapability+Δleak+Δchecker+Δfingerprints_{\text{observed}} = s_{\text{capability}} + \Delta_{\text{leak}} + \Delta_{\text{checker}} + \Delta_{\text{fingerprint}}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

It is useful to write down what an observed pass rate on an agentic benchmark is actually made of, because the rest of this article is a tour of the terms: sobserved=scapability+Δleak+Δchecker+Δfingerprints_{\text{observed}} = s_{\text{capability}} + \Delta_{\text{leak}} + \Delta_{\text{checker}} + \Delta_{\text{fingerprint}}. scapabilitys_{\text{capability}} is the quantity anyone citing the score actually wants: the rate at which the policy would solve genuinely novel instances of this task class. Δleak\Delta_{\text{leak}} is inflation from the environment itself disclosing the solution — through its history, its documentation, or a live network path to the answer. Δchecker\Delta_{\text{checker}} is inflation from a verifier that can be satisfied by something other than a correct solution — a weak test suite, a policy that exploits how success is graded rather…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

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