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Equation 11 · Part 5 · Building Production RAG: An Advanced Technical Guide

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Ltotal≈Lretrieve+k⋅ℓrerank+Lgenerate,L_{\mathrm{total}} \approx L_{\mathrm{retrieve}} + k \cdot \ell_{\mathrm{rerank}} + L_{\mathrm{generate}},
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

The latency consequence follows from where the reranker sits in the request path. A simplified but useful model of end-to-end latency is Ltotal≈Lretrieve+k⋅ℓrerank+LgenerateL_{\mathrm{total}} \approx L_{\mathrm{retrieve}} + k \cdot \ell_{\mathrm{rerank}} + L_{\mathrm{generate}}. where k is the number of candidates handed to the reranker and ℓrerank\ell_{\mathrm{rerank}} is the marginal latency per candidate scored. Recall generally improves as k grows, because a larger candidate set is more likely to contain the passage that actually answers the query — but k multiplies the one latency term a team most directly controls, so it is not a value to leave at a copied default. It is a dial to be set from a measured recall-versus- k curve against an explicit latency budget, the same way the hybrid weight α\alpha is set from a…

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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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