\begin{table}[t]\centering\footnotesize \caption{Pre-registered hypotheses of the third round (H11--H15), the estimate with its 95\% interval and the verdict. Every contrast is within one batch.}\label{tab:hyp3} \setlength{\tabcolsep}{3pt} \begin{tabular}{>{\raggedright\arraybackslash}p{0.30\linewidth}>{\raggedright\arraybackslash}p{0.47\linewidth}>{\raggedright\arraybackslash}p{0.16\linewidth}}\toprule hypothesis (as registered) & estimate & verdict \\ \midrule H11 at equal output budget, seed $+$ textbook moves $\geq$ DGM best agent $-3$ (SWE-bench) & as run $\wMovesBest$ [$\wMovesBestlo$, $\wMovesBesthi$]; early-ended patches kept $\wsMovesBest$ [$\wsMovesBestlo$, $\wsMovesBesthi$] & supported (also superior) \\ H12 at equal output budget, DGM best agent vs its initial agent (expected: no significant gain) & as run $\wBestInit$ [$\wBestInitlo$, $\wBestInithi$]; patches kept $\wsBestInit$ [$\wsBestInitlo$, $\wsBestInithi$] & no gain; worse as run \\ H13 (descriptive) textbook agent vs initial agent with the raised limit & $\wMovesInit$ [$\wMovesInitlo$, $\wMovesInithi$] & -- \\ H14 clean random-diagnosis loops $\geq$ all DGM loops $-3$ (mean fresh gain) & $\rcHfourteen$ [$\rcHfourteenlo$, $\rcHfourteenhi$] & \rcHfourteenVerdict \\ H15 log-free redesigns: $\geq 4$ of 5 raise the cap; mean gain $\geq$ log-based $-3$ & \lfRaised{} of 5; $\lfDiff$ [$\lfDifflo$, $\lfDiffhi$] & supported \\ \bottomrule \end{tabular}\end{table}