Equation 12 · Part 1 · Comparing the Main Approaches to Claude Code and Agentic Development Tools
Symbol p
What this part means
the independent probability.
Its job in the formula
p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol p→Article meaning
Where the article explains it
At a fixed cost c for each checkpoint a person has to evaluate, total interaction cost scales with the number of checkpoints: \,c Now suppose each individual tool call has some small, independent probability p of being consequential and wrong in a way a reviewer would have caught.
The passage around this formula
…answers: not how many attempts are needed before one succeeds, but how many unwatched actions occur before one goes wrong. For small g , exposure grows almost linearly — each additional ungated action adds roughly p more exposure — so coarsening from asking every time to asking every fifth action multiplies exposure roughly fivefold while cutting interaction cost by the same factor: a real trade, not a free improvement in either direction. But the curve saturates: coarsening further, from a handful of calls…
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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