Equation 1 · Part 9 · The Unit Economics of a Token
Symbol y
What this part means
the five counts in that order and each p is the corresponding published rate.
Its job in the formula
y is one of the signed contributions combined to compute the quantity on the left.
Full expression→Symbol y→Article meaning
Where the article explains it
where n , w , r , y and z are the five counts in that order and each p is the corresponding published rate.
The passage around this formula
Instrument each request to record five quantities: new input tokens, cache-write tokens, cache-read tokens, visible output tokens, and reasoning tokens. The cost of a single request is then . where n , w , r , y and z are the five counts in that order and each p is the corresponding published rate. The important feature is the last term: visible output and reasoning share one price, and the reasoning count is the only one of the five you cannot recover by inspecting what came back.
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 article section
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