1\begin{table}[t]\centering\small2\caption{Phase 4 decisive comparison on the frozen 5.6M-parameter synthetic backbone (char-level): held-out3answer-span loss on dev-iid under random forced actions at fixed budgets, and free-generation exact match4(dev-iid, 1,000 stratified items). Mean $\pm$ SD over independent training seeds of the adapter; the backbone,5data, recipe and symmetry-breaking device are identical. Budget 0 is the frozen backbone for every system.}6\label{tab:seedmatrix}7\begin{tabular}{llrrrrr}\toprule8System & seeds & loss b=0 & loss b=1 & loss b=2 & loss b=4 & loss b=8\\\midrule9PRISME sparse editor & 5 & 0.4621 $\pm$ 0.0000 & 0.4525 $\pm$ 0.0006 & 0.4491 $\pm$ 0.0008 & 0.4483 $\pm$ 0.0015 & 0.4575 $\pm$ 0.0031\\10Global recurrence (inspired) & 5 & 0.4621 $\pm$ 0.0000 & 0.4454 $\pm$ 0.0013 & 0.4433 $\pm$ 0.0023 & 0.4449 $\pm$ 0.0033 & 0.4467 $\pm$ 0.0041\\11Dense 16-slot writes & 5 & 0.4621 $\pm$ 0.0000 & 0.4509 $\pm$ 0.0011 & 0.4476 $\pm$ 0.0020 & 0.4480 $\pm$ 0.0034 & 0.4553 $\pm$ 0.0045\\12\midrule13\multicolumn{7}{l}{\emph{Exact match (\%), dev-iid}: b=0 / b=1 / b=2 / b=8}\\14PRISME sparse editor & 5 & \multicolumn{5}{l}{37.7 $\pm$ 0.0 / 39.3 $\pm$ 0.3 / 39.6 $\pm$ 0.3 / 39.2 $\pm$ 0.5}\\15Global recurrence (inspired) & 5 & \multicolumn{5}{l}{37.7 $\pm$ 0.0 / 39.8 $\pm$ 0.3 / 39.6 $\pm$ 0.4 / 40.0 $\pm$ 1.1}\\16Dense 16-slot writes & 5 & \multicolumn{5}{l}{37.7 $\pm$ 0.0 / 39.8 $\pm$ 0.3 / 39.7 $\pm$ 0.3 / 39.0 $\pm$ 0.5}\\17\multicolumn{7}{l}{\emph{Exact match (\%), held-out template / depth / compose at b=2}}\\18PRISME sparse editor & 5 & \multicolumn{5}{l}{27.7 $\pm$ 0.6 / 29.4 $\pm$ 0.2 / 3.1 $\pm$ 0.3}\\19Global recurrence (inspired) & 5 & \multicolumn{5}{l}{27.6 $\pm$ 0.3 / 29.9 $\pm$ 0.3 / 2.8 $\pm$ 0.2}\\20Dense 16-slot writes & 5 & \multicolumn{5}{l}{28.0 $\pm$ 0.5 / 29.5 $\pm$ 0.2 / 3.1 $\pm$ 0.1}\\21\bottomrule\end{tabular}\end{table}22