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Equation 13 · Part 2 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol x

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],
xx

What this part means

x is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

x is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

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 variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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