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Published equation contexts

tool⋆\mathrm{tool}^\star

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A separate, applied study on enterprise agent routing gives a way to decompose exactly what breaks as a real tool catalogue scales, rather than only that something does. Scaling from 10 to 110 candidate agents or tools, the authors report routing F1 on under-specified requests dropping 16 to 23 percentage points across the models tested, and split that drop with an oracle analysis into two distinct components: a retrieval gap , the model’s failure to surface the correct tool at all, and a confusion gap , a roughly 10-percentage-point reduction in the theoretical best-case score that persists even when retrieval is assumed perfect [ 11 ] . Written as a decomposition of the error a shortlist…

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tool⋆\mathrm{tool}^\star

Equation 12 · AI Infrastructure

The Token Tax of Giving a Model More Tools

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

A separate, applied study on enterprise agent routing gives a way to decompose exactly what breaks as a real tool catalogue scales, rather than only that something does. Scaling from 10 to 110 candidate agents or tools, the authors report routing F1 on under-specified requests dropping 16 to 23 percentage points across the models tested, and split that drop with an oracle analysis into two distinct components: a retrieval gap , the model’s failure to surface the correct tool at all, and a confusion gap , a roughly 10-percentage-point reduction in the theoretical best-case score that persists even when retrieval is assumed perfect [ 11 ] . Written as a decomposition of the error a shortlist…

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