\begin{table}[t]\centering\small
\caption{Routing comparison on dev-iid (tiny scale, editor checkpoint of the locked run): held-out answer-span loss,
executed edits per token and analytic extra operations per token (relative to the backbone). Oracles read the
target and are diagnostic ceilings, not deployable systems.}
\label{tab:routing}
\begin{tabular}{llrrr}\toprule
Policy & setting & loss & edits/token & extra ops\\\midrule
budget0 &  & 0.4334 & 0.00 & 0.000\\
random forced & budget=1 & 0.4305 & 1.00 & 0.337\\
uniform & budget=1 & 0.4301 & 1.00 & 0.291\\
fixed pair & budget=1 & 0.4306 & 1.00 & 0.383\\
random forced & budget=2 & 0.4313 & 2.00 & 0.675\\
uniform & budget=2 & 0.4306 & 2.00 & 0.582\\
fixed pair & budget=2 & 0.4323 & 2.00 & 0.767\\
random forced & budget=4 & 0.4351 & 4.00 & 1.350\\
uniform & budget=4 & 0.4323 & 4.00 & 1.164\\
fixed pair & budget=4 & 0.4361 & 4.00 & 1.533\\
random forced & budget=8 & 0.4453 & 8.00 & 2.699\\
uniform & budget=8 & 0.4361 & 8.00 & 2.329\\
fixed pair & budget=8 & 0.4454 & 8.00 & 3.066\\
entropy & threshold=0.1, budget=8 & 0.4435 & 2.89 & 0.931\\
entropy & threshold=0.5, budget=8 & 0.4424 & 2.10 & 0.675\\
entropy & threshold=1.0, budget=8 & 0.4375 & 1.18 & 0.379\\
entropy & threshold=2.0, budget=8 & 0.4346 & 0.21 & 0.066\\
norm & threshold=0.02, budget=8 & 0.4432 & 7.99 & 2.576\\
norm & threshold=0.05, budget=8 & 0.4420 & 7.05 & 2.274\\
norm & threshold=0.1, budget=8 & 0.4397 & 4.72 & 1.520\\
norm & threshold=0.2, budget=8 & 0.4309 & 1.05 & 0.340\\
controller locked & lam=0.3, kap=0.0, budget=8 & 0.4376 & 0.22 & 0.063\\
controller & lam=0.0, kap=0.0, budget=8 & 0.4537 & 3.32 & 1.028\\
controller & lam=0.01, kap=0.0, budget=8 & 0.4531 & 3.11 & 0.958\\
controller & lam=0.03, kap=0.0, budget=8 & 0.4508 & 2.68 & 0.820\\
controller & lam=0.1, kap=0.0, budget=8 & 0.4441 & 1.55 & 0.460\\
controller & lam=0.3, kap=0.0, budget=8 & 0.4376 & 0.22 & 0.063\\
oracle1 greedy (diag.) & budget=1 & 0.4025 & 0.52 & 0.192\\
oracle1 greedy (diag.) & budget=2 & 0.3905 & 0.95 & 0.347\\
oracle1 greedy (diag.) & budget=4 & 0.3800 & 1.53 & 0.553\\
oracle1 greedy (diag.) & budget=8 & 0.3666 & 2.27 & 0.820\\
\midrule\multicolumn{5}{l}{Two-step oracle (diag.): one-step 0.0233, two-step 0.0340, greedy-then-best 0.0337 nats/token}\\
\bottomrule\end{tabular}\end{table}