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Published equation contexts

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

Why this formula appears here

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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Cmodel,iC_{\mathrm{model},i}

Symbol C_model,i

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

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

Symbol C_env,i

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

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Cspec,iC_{\mathrm{spec},i}

Symbol C_spec,i

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

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Creview,iC_{\mathrm{review},i}

Symbol C_review,i

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

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Crework,iC_{\mathrm{rework},i}

Symbol C_rework,i

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

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Published contexts (1)

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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,

Equation 2 · AI Industry

The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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.

Meanings in this article

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