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Equation 11 · Part 7 · Building Production RAG: An Advanced Technical Guide

addition

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

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

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

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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