Equation 1 · Part 5 · How Training Data and Synthetic Data Actually Work

Symbol c_regenerate

C_{\text{curriculum}} = N \cdot \left( c_{\text{generate}} + p_{\text{fail}} \cdot c_{\text{regenerate}} \right)

c_{\text{regenerate}}

What this part means

the cost of another attempt.

Its job in the formula

$c_r$ egenerate is one of the signed contributions combined to compute the quantity on the left.

Full expressionSymbol c_regenerateArticle meaning

Where the article explains it

where N is the number of exercises targeted, $c_{\text{generate}}$ is the compute cost of producing one candidate item, $p_{\text{fail}}$ is the fraction that fail correctness or contamination filtering and must be regenerated, and $c_{\text{regenerate}}$ is the cost of another attempt.

The passage around this formula

…is the number of exercises targeted, $c_{\text{generate}}$ is the compute cost of producing one candidate item, $p_{\text{fail}}$ is the fraction that fail correctness or contamination filtering and must be regenerated, and $c_{\text{regenerate}}$ 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 because it makes explicit an assumption that is easy to gloss over in prose: a synthetic curriculum’s real cost…

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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

[4] Textbooks Are All You Need ↗

These citations provide research context; check each source for the exact claim it supports.