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Equation 1 · Part 9 · The Hidden Infrastructure Bill Behind Every RAG Answer

multiplication

CRAG(Q)=pstore⋅S  +  Q⋅(pru⋅r(S)+prerank)C_{\mathrm{RAG}}(Q) = p_{\mathrm{store}} \cdot S \;+\; Q \cdot \left( p_{\mathrm{ru}} \cdot r(S) + p_{\mathrm{rerank}} \right)
multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

The passage around this formula

What the convergence does support is a real, worked comparison. Write the retrieval pipeline’s monthly cost, using the terms established above, as a fixed storage component plus a per-query component that itself has two parts: CRAG(Q)=pstore⋅S  +  Q⋅(pru⋅r(S)+prerank)C_{\mathrm{RAG}}(Q) = p_{\mathrm{store}} \cdot S \;+\; Q \cdot \left( p_{\mathrm{ru}} \cdot r(S) + p_{\mathrm{rerank}} \right). where S is index size in gigabytes, r(S) is Pinecone’s documented read units per query as a function of that size, Q is monthly query volume, and pstorep_{\mathrm{store}} , prup_{\mathrm{ru}} , and prerankp_{\mathrm{rerank}} are the published per-unit rates given earlier. Set against it, the cost of skipping retrieval and instead inlining a fixed block of extra context on every single call is

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Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

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Sources cited in the article section

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