\begin{table}[p]
\centering\scriptsize
\begin{threeparttable}
\caption{Ablation (exponential, $N = 6,291,456$): RMS of $\sqrt N\,\lVert\tilde\theta - \widehat\theta_N\rVert$ by split pattern, order $r$, Newton rounds $q$ and curvature used (exact / stale averaged local / single machine); quantized exact curvature with $b$ mantissa bits for $q = 1$.}\label{tab:abl_exponential}
\begin{tabular}{@{}llrrr@{}}
\toprule
Pattern & curvature & $q$ & $m = 24$ & $m = 96$ \\
\midrule
(1) & exact & 0 & 109.045 & 26.408 \\
(1) & exact & 1 & 4.741 & 0.278 \\
(1) & exact & 2 & 0.009 & 3.08e-5 \\
(1) & exact & 3 & 3.20e-8 & 4.80e-13 \\
(1) & stale & 1 & 8.723 & 0.545 \\
(1) & stale & 2 & 0.378 & 0.006 \\
(1) & stale & 3 & 0.015 & 5.91e-5 \\
(1) & single & 1 & 4.741 & 0.278 \\
(1) & single & 2 & 0.009 & 3.08e-5 \\
(1) & single & 3 & 3.20e-8 & 4.79e-13 \\
(1,2) & exact & 0 & 9.932 & 0.601 \\
(1,2) & exact & 1 & 0.039 & 1.77e-4 \\
(1,2) & exact & 2 & 6.32e-7 & 2.22e-11 \\
(1,2) & exact & 3 & 2.86e-13 & 3.14e-13 \\
(1,2) & stale & 1 & 0.359 & 0.006 \\
(1,2) & stale & 2 & 0.014 & 6.18e-5 \\
(1,2) & stale & 3 & 5.72e-4 & 6.35e-7 \\
(1,2) & single & 1 & 0.039 & 1.77e-4 \\
(1,2) & single & 2 & 6.32e-7 & 2.22e-11 \\
(1,2) & single & 3 & 2.86e-13 & 3.14e-13 \\
(1,3) & exact & 0 & 15.578 & 0.870 \\
(1,3) & exact & 1 & 0.097 & 3.28e-4 \\
(1,3) & exact & 2 & 3.76e-6 & 5.65e-11 \\
(1,3) & exact & 3 & 2.89e-13 & 3.11e-13 \\
(1,2,4) & exact & 0 & 2.100 & 0.312 \\
(1,2,4) & exact & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & exact & 2 & 3.07e-9 & 5.44e-12 \\
(1,2,4) & exact & 3 & 2.93e-13 & 3.14e-13 \\
(1,2,4) & stale & 1 & 0.086 & 0.003 \\
(1,2,4) & stale & 2 & 0.003 & 3.32e-5 \\
(1,2,4) & stale & 3 & 1.38e-4 & 3.43e-7 \\
(1,2,4) & single & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & single & 2 & 3.07e-9 & 5.44e-12 \\
(1,2,4) & single & 3 & 2.93e-13 & 3.14e-13 \\
(1,2,3) & exact & 0 & 1.697 & 0.429 \\
(1,2,3) & exact & 1 & 0.002 & 1.30e-4 \\
(1,2,3) & exact & 2 & 3.23e-9 & 2.25e-11 \\
(1,2,3) & exact & 3 & 3.03e-13 & 3.10e-13 \\
(1,2,4,8) & exact & 0 & 1.302 & 0.380 \\
(1,2,4,8) & exact & 1 & 9.81e-4 & 9.80e-5 \\
(1,2,4,8) & exact & 2 & 8.24e-10 & 1.20e-11 \\
(1,2,4,8) & exact & 3 & 2.93e-13 & 3.13e-13 \\
(1,2,3,4) & exact & 0 & 2.411 & 0.957 \\
(1,2,3,4) & exact & 1 & 0.004 & 6.46e-4 \\
(1,2,3,4) & exact & 2 & 1.96e-8 & 6.13e-10 \\
(1,2,3,4) & exact & 3 & 3.01e-13 & 3.10e-13 \\
\midrule
(1) & $b$-bit Hessian, $b=2$ & 1 & 4.546 & 0.277 \\
(1) & $b$-bit Hessian, $b=3$ & 1 & 10.384 & 0.277 \\
(1) & $b$-bit Hessian, $b=4$ & 1 & 2.423 & 0.277 \\
(1) & $b$-bit Hessian, $b=6$ & 1 & 4.312 & 0.140 \\
(1) & $b$-bit Hessian, $b=8$ & 1 & 4.778 & 0.266 \\
(1) & $b$-bit Hessian, $b=12$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit Hessian, $b=16$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit Hessian, $b=24$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit Hessian, $b=52$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit score, $b=2$ & 1 & 18.981 & 3.612 \\
(1) & $b$-bit score, $b=3$ & 1 & 2.378 & 1.401 \\
(1) & $b$-bit score, $b=4$ & 1 & 8.316 & 1.115 \\
(1) & $b$-bit score, $b=6$ & 1 & 5.450 & 0.380 \\
(1) & $b$-bit score, $b=8$ & 1 & 4.729 & 0.283 \\
(1) & $b$-bit score, $b=12$ & 1 & 4.740 & 0.278 \\
(1) & $b$-bit score, $b=16$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit score, $b=24$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit score, $b=52$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit both, $b=2$ & 1 & 8.538 & 2.990 \\
(1) & $b$-bit both, $b=3$ & 1 & 2.952 & 1.919 \\
(1) & $b$-bit both, $b=4$ & 1 & 5.928 & 0.561 \\
(1) & $b$-bit both, $b=6$ & 1 & 5.020 & 0.268 \\
(1) & $b$-bit both, $b=8$ & 1 & 4.767 & 0.271 \\
(1) & $b$-bit both, $b=12$ & 1 & 4.740 & 0.278 \\
(1) & $b$-bit both, $b=16$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit both, $b=24$ & 1 & 4.741 & 0.278 \\
(1) & $b$-bit both, $b=52$ & 1 & 4.741 & 0.278 \\
(1,2) & $b$-bit Hessian, $b=2$ & 1 & 0.040 & 5.01e-4 \\
(1,2) & $b$-bit Hessian, $b=3$ & 1 & 0.040 & 5.01e-4 \\
(1,2) & $b$-bit Hessian, $b=4$ & 1 & 0.040 & 5.01e-4 \\
(1,2) & $b$-bit Hessian, $b=6$ & 1 & 0.040 & 5.01e-4 \\
(1,2) & $b$-bit Hessian, $b=8$ & 1 & 0.039 & 5.01e-4 \\
(1,2) & $b$-bit Hessian, $b=12$ & 1 & 0.040 & 1.89e-4 \\
(1,2) & $b$-bit Hessian, $b=16$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit Hessian, $b=24$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit Hessian, $b=52$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit score, $b=2$ & 1 & 0.503 & 0.064 \\
(1,2) & $b$-bit score, $b=3$ & 1 & 0.471 & 0.032 \\
(1,2) & $b$-bit score, $b=4$ & 1 & 0.311 & 0.016 \\
(1,2) & $b$-bit score, $b=6$ & 1 & 0.088 & 0.004 \\
(1,2) & $b$-bit score, $b=8$ & 1 & 0.042 & 0.001 \\
(1,2) & $b$-bit score, $b=12$ & 1 & 0.040 & 1.91e-4 \\
(1,2) & $b$-bit score, $b=16$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit score, $b=24$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit score, $b=52$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit both, $b=2$ & 1 & 0.473 & 0.064 \\
(1,2) & $b$-bit both, $b=3$ & 1 & 0.430 & 0.032 \\
(1,2) & $b$-bit both, $b=4$ & 1 & 0.312 & 0.016 \\
(1,2) & $b$-bit both, $b=6$ & 1 & 0.081 & 0.004 \\
(1,2) & $b$-bit both, $b=8$ & 1 & 0.041 & 0.001 \\
(1,2) & $b$-bit both, $b=12$ & 1 & 0.040 & 2.01e-4 \\
(1,2) & $b$-bit both, $b=16$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit both, $b=24$ & 1 & 0.039 & 1.77e-4 \\
(1,2) & $b$-bit both, $b=52$ & 1 & 0.039 & 1.77e-4 \\
(1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 0.003 & 2.57e-4 \\
(1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 0.003 & 2.57e-4 \\
(1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 0.003 & 2.57e-4 \\
(1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 0.003 & 2.57e-4 \\
(1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 0.004 & 2.54e-4 \\
(1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 0.002 & 7.28e-5 \\
(1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 0.002 & 6.58e-5 \\
(1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & $b$-bit score, $b=2$ & 1 & 0.213 & 0.033 \\
(1,2,4) & $b$-bit score, $b=3$ & 1 & 0.106 & 0.016 \\
(1,2,4) & $b$-bit score, $b=4$ & 1 & 0.055 & 0.009 \\
(1,2,4) & $b$-bit score, $b=6$ & 1 & 0.014 & 0.002 \\
(1,2,4) & $b$-bit score, $b=8$ & 1 & 0.004 & 5.51e-4 \\
(1,2,4) & $b$-bit score, $b=12$ & 1 & 0.002 & 6.97e-5 \\
(1,2,4) & $b$-bit score, $b=16$ & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & $b$-bit score, $b=24$ & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & $b$-bit score, $b=52$ & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & $b$-bit both, $b=2$ & 1 & 0.214 & 0.033 \\
(1,2,4) & $b$-bit both, $b=3$ & 1 & 0.106 & 0.016 \\
(1,2,4) & $b$-bit both, $b=4$ & 1 & 0.055 & 0.009 \\
(1,2,4) & $b$-bit both, $b=6$ & 1 & 0.014 & 0.002 \\
(1,2,4) & $b$-bit both, $b=8$ & 1 & 0.005 & 6.03e-4 \\
(1,2,4) & $b$-bit both, $b=12$ & 1 & 0.002 & 7.66e-5 \\
(1,2,4) & $b$-bit both, $b=16$ & 1 & 0.002 & 6.58e-5 \\
(1,2,4) & $b$-bit both, $b=24$ & 1 & 0.002 & 6.55e-5 \\
(1,2,4) & $b$-bit both, $b=52$ & 1 & 0.002 & 6.55e-5 \\
\bottomrule
\end{tabular}
\begin{tablenotes}\footnotesize
\item 300--1000 paired replications per column (exact count per cell in the processed CSV); $K = N/m$. Rows are omitted when the pattern does not divide $m$. Source: the processed ablation summary for the exponential model in \texttt{results/processed/}.
\end{tablenotes}
\end{threeparttable}
\end{table}