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Equation 23 · Part 5 · What Interpretability Actually Costs to Do at Scale

=

Hverify  =  ∑i=1mhi,H_{\mathrm{verify}} \;=\; \sum_{i=1}^{m} h_i ,
=

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.

The passage around this formula

A simple model makes the scaling problem legible. Let a verified circuit claim require passing m distinct checks — faithfulness under intervention, completeness against the behavior it is meant to fully explain, minimality against components that turn out not to matter — and let each check take hih_i researcher-hours, including the false starts a competent skeptic would force. Total verification cost per claim is Hverify  =  ∑i=1mhiH_{\mathrm{verify}} \;=\; \sum_{i=1}^{m} h_i . and the field’s own most careful examples put each hih_i measured not in minutes but in dedicated researcher-days once ambiguity has to be resolved rather than merely observed. If a frontier model implements even a low four-figure count of distinguishable,…

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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 surrounding passage

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