\begin{table}[t]
\centering\small
\caption{Diagnosis-enabled interventions on the primary cell (\texttt{qwen25-7b} / GPTQ w4 / MATH-500). \emph{Prompt-prefix $k$} prepends the first $k$ FP16 reference steps to the quantized model's prompt (no training). The \emph{unrestricted} sweep injects every FP16 prefix; the \emph{FP16-correct-only} sweep injects a prefix only when the source FP16 trace reached the correct final answer, removing partial-solution leakage. \emph{QLoRA restored} is the adapter from \S\ref{sec:results-restoration}. Accuracy in \%, 95\% bootstrap CIs in brackets.}
\label{tab:interventions}
\begin{tabular}{@{}lcc@{}}
\toprule
Intervention & Acc (\%) & 95\% CI \\
\midrule
Quantized baseline & 69.4 & -- \\
\midrule
\multicolumn{3}{l}{\textit{Unrestricted prefix (diagnostic)}} \\
Prompt-prefix $k=0$ & 70.2 & [66.2, 74.0] \\
Prompt-prefix $k=1$ & 75.2 & [71.4, 78.8] \\
Prompt-prefix $k=2$ & 80.6 & [77.0, 84.0] \\
Prompt-prefix $k=3$ & 87.8 & [85.0, 90.6] \\
Prompt-prefix $k=4$ & 91.4 & [89.0, 93.8] \\
\midrule
\multicolumn{3}{l}{\textit{FP16-correct-only prefix (honest)}} \\
Prompt-prefix $k=0$ (FP16-correct) & 70.4 & [66.4, 74.2] \\
Prompt-prefix $k=1$ (FP16-correct) & 73.6 & [69.6, 77.4] \\
Prompt-prefix $k=2$ (FP16-correct) & 75.6 & [71.8, 79.2] \\
Prompt-prefix $k=3$ (FP16-correct) & 77.6 & [74.0, 81.2] \\
Prompt-prefix $k=4$ (FP16-correct) & 78.0 & [74.2, 81.4] \\
\midrule
\textbf{QLoRA restored (ours)} & 74.8 & -- \\
FP16 reference                  & 72.8 & -- \\
\bottomrule
\end{tabular}
\end{table}
