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Equation 11 · Part 4 · Building Production RAG: An Advanced Technical Guide

Symbol L_generate

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

What this part means

LgL_generate is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

LgL_generate is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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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