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Equation 1 · Part 8 · How Training Data and Synthetic Data Actually Work

addition

Ccurriculum=N⋅(cgenerate+pfail⋅cregenerate)C_{\text{curriculum}} = N \cdot \left( c_{\text{generate}} + p_{\text{fail}} \cdot c_{\text{regenerate}} \right)
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

If the curriculum has a rough per-item cost of generation and validation, a useful way to reason about scale is a simple accounting identity rather than a law of nature: Ccurriculum=N⋅(cgenerate+pfail⋅cregenerate)C_{\text{curriculum}} = N \cdot \left( c_{\text{generate}} + p_{\text{fail}} \cdot c_{\text{regenerate}} \right). where N is the number of exercises targeted, cgeneratec_{\text{generate}} is the compute cost of producing one candidate item, pfailp_{\text{fail}} is the fraction that fail correctness or contamination filtering and must be regenerated, and cregeneratec_{\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…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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