Equation 11 · The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter
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the average energy per byte moved off-chip, energy per token is roughly e B/b — the weight traffic divided across the batch, plus each request’s own cache traffic. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol e
the average energy per byte moved off-chip, energy per token is roughly e B/b — the weight traffic divided across the batch, plus each request’s own cache traffic.
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What the article says around this equation
The energy version of the same expression is more useful still. If e is the average energy per byte moved off-chip, energy per token is roughly e B/b — the weight traffic divided across the batch, plus each request’s own cache traffic. Batching therefore improves energy per token steeply at first and then asymptotically, converging on the irreducible per-request cache cost. That asymptote is the floor referred to throughout this article, and only cache-reduction techniques lower it.
For background, read the article’s source list.
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