← All parts of this equation

Equation 3 · Part 1 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute

Symbol C_post

CpostC_{\mathrm{post}}
CpostC_{\mathrm{post}}

What this part means

post-training compute.

Its job in the formula

CpC_post is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where CpreC_{\mathrm{pre}} is pretraining compute, CpostC_{\mathrm{post}} is post-training compute, Q is the number of served requests over the system’s life, and cˉinf\bar{c}_{\mathrm{inf}} is the mean compute per request.

The passage around this formula

where CpreC_{\mathrm{pre}} is pretraining compute, CpostC_{\mathrm{post}} is post-training compute, Q is the number of served requests over the system’s life, and cˉinf\bar{c}_{\mathrm{inf}} is the mean compute per request. Until roughly 2024 the third term was treated as approximately fixed for a given model, and public discussion of capability collapsed onto the first. That assumption no longer holds. On current OpenAI models, cˉinf\bar{c}_{\mathrm{inf}} is a parameter the caller sets: as verified on 8 August 2026, the model guidance documents a reasoningeg_effort control taking the values none , low , medium , high , xhigh , and max , alongside a separate text.verbosity setting [ 2 ] .

Read this part in the article →

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.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the surrounding passage

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