Equation 2 · Part 2 · Astra's 63%-Cheaper Claim Has to Beat a Price Disadvantage Nobody Mentions
Symbol r
What this part means
each model’s cache-read rate: 1.
Its job in the formula
r 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 r→Article meaning
Where the article explains it
The blended input-token cost per model, in dollars per million tokens, is (1-s) 10 + s r , where r is each model’s cache-read rate: 1.00 for Astra, 0.25 for Fable 5.1.
The passage around this formula
Call the cache-hit share s — the fraction of input tokens that are cache reads rather than fresh reads. The blended input-token cost per model, in dollars per million tokens, is (1-s) 10 + s r , where r is each model’s cache-read rate: $1.00 for Astra, $0.25 for Fable 5.1. The ratio of Astra’s blended input cost to Fable 5.1’s, at a given cache-hit share, is:
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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