Equation 17 · Part 3 · The Token Tax of Giving a Model More Tools
Symbol tau_0
What this part means
ta 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
ta 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 tau_0→Article meaning
The passage around this formula
…size: “Only the Tool Search Tool loaded upfront (~500 tokens)” [ 5 ] . Applied to the same 58-tool, roughly 55,000-token example described above, that reframes the earlier formula: instead of the full T(n) + n , a session that only ever actually needs m of the n available tools pays approximately + + m , where is the search tool’s own fixed overhead. The fraction of the original tax avoided is
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
See this notation across published equations →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.