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Equation 2 · Part 11 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

=

NVi=piVi−Cmodel,i−Cenv,i−Cspec,i−Creview,i−Crework,i−(1−pi)qiLi,NV_i=p_iV_i-C_{\mathrm{model},i}-C_{\mathrm{env},i} -C_{\mathrm{spec},i}-C_{\mathrm{review},i}-C_{\mathrm{rework},i} -(1-p_i)q_iL_i,
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Define the expected net value of agent-assisted task i as NVi=piVi−Cmodel,i−Cenv,i−Cspec,i−Creview,i−Crework,i−(1−pi)qiLiNV_i=p_iV_i-C_{\mathrm{model},i}-C_{\mathrm{env},i} -C_{\mathrm{spec},i}-C_{\mathrm{review},i}-C_{\mathrm{rework},i} -(1-p_i)q_iL_i. where pip_i is probability of an accepted correct result, ViV_i its organizational value, qiq_i the probability a failure escapes review, and LiL_i its loss. The equation omits complementarities and learning, but it places the denominator correctly.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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