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Equation 2 · Part 5 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol C_env,i

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,
Cenv,iC_{\mathrm{env},i}

What this part means

CeC_env,i is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

CeC_env,i is one of the signed contributions combined to compute the quantity on the left.

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

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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