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Equation 1 · Part 5 · OpenAI and Claude on Agentic Coding: What the Independent Evidence Actually Shows

Symbol e

s=g(θ,  H,  e,  τ,  ϕ)s = g(\theta,\; H,\; e,\; \tau,\; \phi)
ee

What this part means

the reasoning-effort or thinking-budget setting.

Its job in the formula

e is an input to the expression that computes the quantity on the left.

Where the article explains it

where θ\theta is the model’s weights, H is the harness or scaffold wrapped around it, e is the reasoning-effort or thinking-budget setting, τ\tau is the strength of the test oracle used to grade the output, and ϕ\phi is the model’s likely prior exposure to the benchmark’s specific tasks during training.

The passage around this formula

…as a simple decomposition, because it clarifies exactly what a published score is actually a measurement of: s=g(θ,  H,  e,  τ,  ϕ)s = g(\theta,\; H,\; e,\; \tau,\; \phi). where θ\theta is the model’s weights, H is the harness or scaffold wrapped around it, e is the reasoning-effort or thinking-budget setting, τ\tau is the strength of the test oracle used to grade the output, and ϕ\phi is the model’s likely prior exposure to the benchmark’s specific tasks during training. A score gap between two systems is informative about θ\theta — the thing “OpenAI…

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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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