Symbol n
n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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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…
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Symbol bars
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Equation 8 · 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.
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…
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