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

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nn

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nn

Symbol n

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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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