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Equation 2 · Part 1 · The Token Tax of Giving a Model More Tools

Symbol n

nn
nn

What this part means

n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Call this fixed, tool-independent charge τ0\tau_0 . On top of it sits the actual content of the catalogue: for n tools attached to a request, each with a schema costing sis_i tokens for its name, description, and JSON Schema of parameters, the tool-visibility component of a single request’s input is

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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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