Equation 9 · Part 4 · Measuring Tool Protocols and the Model Context Protocol: Evidence, Benchmarks, and Uncertainty
Symbol bart
What this part means
the number of tokens.
Its job in the formula
bart is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol bart→Article meaning
Where the article explains it
If a system prompt costs tokens before any tools are added, and each of n tools costs on average tokens to describe, total schema overhead is approximately .
The passage around this formula
A simple linear model makes the assumption underneath that spread explicit. If a system prompt costs tokens before any tools are added, and each of n tools costs on average tokens to describe, total schema overhead is approximately . Under a fixed context budget B , the largest catalogue that fits is roughly (B - )/ . The model is a reasonable first approximation, and it is also the assumption a tenfold per-tool…
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Sources cited in the surrounding passage
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