Equation 19 · Part 3 · Comparing Frontier Model Pricing Without Comparing Apples to Oranges
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
Reading and off a rate card and comparing them directly across vendors is equivalent to assuming , , and are all equal to each other and to 1 across every vendor in the comparison. This article has just shown that one of those three, , genuinely does converge close to 0.1 across all three companies’ published cards — the one term a naive comparison happens to get right by accident. The other two do not converge, are not published as clean multipliers by any vendor, and vary by content type and by task in ways that only measurement on the caller’s own workload can pin down. A price comparison that reports and…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
Sources cited in the article section
- [8] Comparison of AI Models across Intelligence, Performance, and Price ↗
- [7] LLM Inference Price Trends ↗
These citations provide research context; check each source for the exact claim it supports.