Equation 8 · Part 1 · The Token Tax of Giving a Model More Tools
Symbol n
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.
Full expression→Symbol n→Article meaning
The passage around this formula
Anthropic’s own engineering documentation gives concrete magnitudes for what n looks like in a realistic deployment. A worked example lists five connected MCP servers — GitHub with 35 tools consuming roughly 26,000 tokens, Slack with 11 tools at roughly 21,000, Sentry with 5 tools at roughly 3,000, Grafana with 5 tools at roughly 3,000, and Splunk with 2 tools at roughly 2,000 — for a total the documentation states plainly: “That’s 58 tools consuming approximately 55K tokens before the conversation even starts” [ 5 ] . A separate figure from the same source is larger still: “At Anthropic, we’ve seen tool definitions consume 134K tokens before optimization” [ 5 ] . Dividing the first…
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 surrounding passage
These citations provide research context; check each source for the exact claim it supports.