Equation 4 · Part 1 · How Training Data and Synthetic Data Actually Work
Symbol p_fail
What this part means
the fraction that fail correctness or contamination filtering and must be regenerated.
Its job in the formula
ail 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_fail→Article meaning
Where the article explains it
where N is the number of exercises targeted, is the compute cost of producing one candidate item, is the fraction that fail correctness or contamination filtering and must be regenerated, and is the cost of another attempt.
The passage around this formula
where N is the number of exercises targeted, is the compute cost of producing one candidate item, is the fraction that fail correctness or contamination filtering and must be regenerated, and is the cost of another attempt. This is not drawn from a specific paper’s disclosed cost model — none of the sources here publish exact figures — it is included only…
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
These citations provide research context; check each source for the exact claim it supports.