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Why this formula appears here
Lines of code, commits, pull requests, agent turns, and completed tickets can all rise while value falls. Generated code may duplicate functionality, increase maintenance surface, or shift work into review. The economically relevant throughput is . where indicates accepted outcomes that satisfy a quality contract and weights their value. Weighting is difficult; pretending every ticket is equal is also a weighting choice.
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Symbol i
i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
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is an input to the expression that computes the quantity on the left.
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is an input to the expression that computes the quantity on the left.
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This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.
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Equation 7 · 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.
Lines of code, commits, pull requests, agent turns, and completed tickets can all rise while value falls. Generated code may duplicate functionality, increase maintenance surface, or shift work into review. The economically relevant throughput is . where indicates accepted outcomes that satisfy a quality contract and weights their value. Weighting is difficult; pretending every ticket is equal is also a weighting choice.