Symbol r
r 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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That convergence on roughly one tenth of base input for a cache read — independently verified today across all three platforms [ 2 , 6 , 10 ] — supports a design rule. Let w be the write-price multiplier for the chosen retention window and r 0.1 the read-price multiplier. For a prefix served identically R times within that window — the first serving is the write, the remaining R-1 are reads — caching beats never caching once
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Equation 2 · Inference Economics
AI Inference Economics in Practice: An Advanced Technical Guide
This equation gives an approximation: it relates the quantities while allowing an approximation.
That convergence on roughly one tenth of base input for a cache read — independently verified today across all three platforms [ 2 , 6 , 10 ] — supports a design rule. Let w be the write-price multiplier for the chosen retention window and r 0.1 the read-price multiplier. For a prefix served identically R times within that window — the first serving is the write, the remaining R-1 are reads — caching beats never caching once
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