Equation 7 · Part 1 · The Safeguards Behind a Claude Refusal, and What They're Actually Trading Off
Symbol c_exchange
What this part means
the much larger cost of the second.
Its job in the formula
xchange 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 c_exchange→Article meaning
Where the article explains it
If is the near-free cost of the first pass and the much larger cost of the second, and is the fraction of traffic the probe escalates, the expected added cost per request is = + .
The passage around this formula
Because is small on ordinary traffic, the average cost collapses toward even though did not get any cheaper — which is the documented reason Anthropic reports the overhead falling from 23.7% to roughly 1% between generations, alongside a drop in the harmless-traffic refusal rate to 0.05% and, across more than 1,700 cumulative red-teaming hours against the new…
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.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.