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Equation 13 · Part 8 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol R_m

m∗(x)=arg⁡max⁡m[pm(x)V(x)−Cm(x)−Hm(x)−Rm(x)],m^*(x)=\arg\max_m \left[p_m(x)V(x)-C_m(x)-H_m(x)-R_m(x)\right],
RmR_m

What this part means

RmR_m is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

RmR_m is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

For task features x , choose model and reasoning configuration m to maximize m∗(x)=arg⁡max⁡m[pm(x)V(x)−Cm(x)−Hm(x)−Rm(x)]m^*(x)=\arg\max_m \left[p_m(x)V(x)-C_m(x)-H_m(x)-R_m(x)\right]. where HmH_m is human supervision and RmR_m expected residual risk. The cheapest model can cost more if it creates repeated attempts or review. The strongest model can be wasteful on deterministic extraction.

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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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Sources cited in the article section

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