Figure efficiency · A Small Switch in a Vast Machine

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A candidate slides along an equal-effect line toward the smallest tangent Fisher ellipse. Equal-length effect bars remain fixed while the candidate’s cost bar shrinks. — Equal-effect geometry · Exact mathematical model
Keep the first-order target effect fixed, then find the change with the smallest quadratic cost. The geometry gives an optimal candidate in this model, not a demonstrated improvement to Qwen.
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Exact quadratic model with $F=\begin{pmatrix}2&.5\\.5&1\end{pmatrix}$ , $b=(1,.8)$ , and $b^\top d=.6$ . Ellipses show $\tfrac12d^\top Fd$ ; the gold line fixes the linear effect. Its tangency with the smallest admissible ellipse gives $d_* = \frac{.6F^{-1}b}{b^\top F^{-1}b}$ . The moving candidate preserves the target effect while reducing quadratic cost; synchronized bars show both. These are calculated candidates, not measurements of Astra’s edit or an optimization record. The KL interpretation is local.
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