\begin{table}[p]
\centering\scriptsize
\begin{threeparttable}
\caption{Ablation (logistic, $N = 196,608$): 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_logistic}
\begin{tabular}{@{}llrrr@{}}
\toprule
Pattern & curvature & $q$ & $m = 96$ & $m = 192$ \\
\midrule
(1) & exact & 0 & 57.779 & 26.208 \\
(1) & exact & 1 & 3.396 & 0.680 \\
(1) & exact & 2 & 0.011 & 4.48e-4 \\
(1) & exact & 3 & 1.21e-7 & 1.99e-10 \\
(1) & stale & 1 & 1.319 & 0.310 \\
(1) & stale & 2 & 0.111 & 0.012 \\
(1) & stale & 3 & 0.009 & 4.86e-4 \\
(1) & single & 1 & 17.164 & 4.707 \\
(1) & single & 2 & 11.647 & 1.777 \\
(1) & single & 3 & 11.038 & 0.816 \\
(1,2) & exact & 0 & 3271.882 & 5.903 \\
(1,2) & exact & 1 & 2.84e+7 & 0.034 \\
(1,2) & exact & 2 & 3.78e+29 & 1.32e-6 \\
(1,2) & exact & 3 & 3.78e+29 & 6.34e-14 \\
(1,2) & stale & 1 & 3146.098 & 0.268 \\
(1,2) & stale & 2 & 3040.887 & 0.011 \\
(1,2) & stale & 3 & 2939.939 & 4.70e-4 \\
(1,2) & single & 1 & 1.98e+9 & 1.089 \\
(1,2) & single & 2 & 3.02e+24 & 0.419 \\
(1,2) & single & 3 & 2.31e+38 & 0.190 \\
(1,3) & exact & 0 & 7569.958 & 11.668 \\
(1,3) & exact & 1 & 1.56e+8 & 0.373 \\
(1,3) & exact & 2 & 5.99e+46 & 0.002 \\
(1,3) & exact & 3 & 3.63e+151 & 6.37e-8 \\
(1,2,4) & exact & 0 & 2.55e+4 & 165.492 \\
(1,2,4) & exact & 1 & 2.81e+9 & 708.579 \\
(1,2,4) & exact & 2 & 4.00e+17 & 2.84e+5 \\
(1,2,4) & exact & 3 & 4.12e+100 & 1.01e+13 \\
(1,2,4) & stale & 1 & 2.52e+4 & 87.316 \\
(1,2,4) & stale & 2 & 2.49e+4 & 53.541 \\
(1,2,4) & stale & 3 & 2.46e+4 & 29.429 \\
(1,2,4) & single & 1 & 1.55e+26 & 657.174 \\
(1,2,4) & single & 2 & 4.16e+139 & 4.48e+5 \\
(1,2,4) & single & 3 & 4.18e+139 & 4.78e+21 \\
(1,2,3) & exact & 0 & 1.76e+4 & 12.815 \\
(1,2,3) & exact & 1 & 9.80e+8 & 1.688 \\
(1,2,3) & exact & 2 & 1.20e+23 & 0.043 \\
(1,2,3) & exact & 3 & 3.78e+143 & 3.45e-5 \\
(1,2,4,8) & exact & 0 & 5.00e+4 & 3158.571 \\
(1,2,4,8) & exact & 1 & 2.43e+10 & 1.05e+7 \\
(1,2,4,8) & exact & 2 & 4.24e+58 & 4.53e+24 \\
(1,2,4,8) & exact & 3 & 4.24e+58 & 8.65e+43 \\
(1,2,3,4) & exact & 0 & 8.61e+4 & 494.098 \\
(1,2,3,4) & exact & 1 & 1.42e+11 & 2.60e+4 \\
(1,2,3,4) & exact & 2 & 3.11e+32 & 7.27e+9 \\
(1,2,3,4) & exact & 3 & 3.97e+140 & 4.44e+11 \\
\midrule
(1) & $b$-bit Hessian, $b=2$ & 1 & 3.379 & 1.711 \\
(1) & $b$-bit Hessian, $b=3$ & 1 & 3.561 & 1.679 \\
(1) & $b$-bit Hessian, $b=4$ & 1 & 3.459 & 0.988 \\
(1) & $b$-bit Hessian, $b=6$ & 1 & 3.487 & 0.714 \\
(1) & $b$-bit Hessian, $b=8$ & 1 & 3.402 & 0.681 \\
(1) & $b$-bit Hessian, $b=12$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit Hessian, $b=16$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit Hessian, $b=24$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit Hessian, $b=52$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit score, $b=2$ & 1 & 4.349 & 1.865 \\
(1) & $b$-bit score, $b=3$ & 1 & 4.109 & 1.155 \\
(1) & $b$-bit score, $b=4$ & 1 & 3.566 & 0.836 \\
(1) & $b$-bit score, $b=6$ & 1 & 3.403 & 0.692 \\
(1) & $b$-bit score, $b=8$ & 1 & 3.397 & 0.679 \\
(1) & $b$-bit score, $b=12$ & 1 & 3.396 & 0.679 \\
(1) & $b$-bit score, $b=16$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit score, $b=24$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit score, $b=52$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit both, $b=2$ & 1 & 4.723 & 2.359 \\
(1) & $b$-bit both, $b=3$ & 1 & 4.292 & 1.907 \\
(1) & $b$-bit both, $b=4$ & 1 & 3.621 & 1.107 \\
(1) & $b$-bit both, $b=6$ & 1 & 3.493 & 0.727 \\
(1) & $b$-bit both, $b=8$ & 1 & 3.403 & 0.680 \\
(1) & $b$-bit both, $b=12$ & 1 & 3.396 & 0.679 \\
(1) & $b$-bit both, $b=16$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit both, $b=24$ & 1 & 3.396 & 0.680 \\
(1) & $b$-bit both, $b=52$ & 1 & 3.396 & 0.680 \\
(1,2) & $b$-bit Hessian, $b=2$ & 1 & 3.87e+5 & 0.377 \\
(1,2) & $b$-bit Hessian, $b=3$ & 1 & 2.88e+5 & 0.338 \\
(1,2) & $b$-bit Hessian, $b=4$ & 1 & 4.23e+5 & 0.141 \\
(1,2) & $b$-bit Hessian, $b=6$ & 1 & 1.10e+6 & 0.053 \\
(1,2) & $b$-bit Hessian, $b=8$ & 1 & 1.14e+7 & 0.035 \\
(1,2) & $b$-bit Hessian, $b=12$ & 1 & 4.41e+7 & 0.034 \\
(1,2) & $b$-bit Hessian, $b=16$ & 1 & 2.85e+7 & 0.034 \\
(1,2) & $b$-bit Hessian, $b=24$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit Hessian, $b=52$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit score, $b=2$ & 1 & 2.70e+7 & 0.489 \\
(1,2) & $b$-bit score, $b=3$ & 1 & 2.82e+7 & 0.254 \\
(1,2) & $b$-bit score, $b=4$ & 1 & 2.82e+7 & 0.128 \\
(1,2) & $b$-bit score, $b=6$ & 1 & 2.86e+7 & 0.047 \\
(1,2) & $b$-bit score, $b=8$ & 1 & 2.84e+7 & 0.035 \\
(1,2) & $b$-bit score, $b=12$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit score, $b=16$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit score, $b=24$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit score, $b=52$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit both, $b=2$ & 1 & 3.67e+5 & 0.596 \\
(1,2) & $b$-bit both, $b=3$ & 1 & 2.86e+5 & 0.412 \\
(1,2) & $b$-bit both, $b=4$ & 1 & 4.19e+5 & 0.189 \\
(1,2) & $b$-bit both, $b=6$ & 1 & 1.10e+6 & 0.062 \\
(1,2) & $b$-bit both, $b=8$ & 1 & 1.14e+7 & 0.036 \\
(1,2) & $b$-bit both, $b=12$ & 1 & 4.41e+7 & 0.034 \\
(1,2) & $b$-bit both, $b=16$ & 1 & 2.85e+7 & 0.034 \\
(1,2) & $b$-bit both, $b=24$ & 1 & 2.84e+7 & 0.034 \\
(1,2) & $b$-bit both, $b=52$ & 1 & 2.84e+7 & 0.034 \\
(1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 5.83e+6 & 513.109 \\
(1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 2.51e+7 & 553.804 \\
(1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 8.40e+7 & 770.186 \\
(1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 1.29e+7 & 690.742 \\
(1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 5.97e+7 & 707.712 \\
(1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 5.29e+8 & 708.627 \\
(1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 3.48e+9 & 708.586 \\
(1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 2.81e+9 & 708.579 \\
(1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 2.81e+9 & 708.579 \\
(1,2,4) & $b$-bit score, $b=2$ & 1 & 2.70e+9 & 723.882 \\
(1,2,4) & $b$-bit score, $b=3$ & 1 & 2.76e+9 & 723.868 \\
(1,2,4) & $b$-bit score, $b=4$ & 1 & 2.76e+9 & 729.492 \\
(1,2,4) & $b$-bit score, $b=6$ & 1 & 2.82e+9 & 706.637 \\
(1,2,4) & $b$-bit score, $b=8$ & 1 & 2.81e+9 & 709.441 \\
(1,2,4) & $b$-bit score, $b=12$ & 1 & 2.81e+9 & 708.518 \\
(1,2,4) & $b$-bit score, $b=16$ & 1 & 2.81e+9 & 708.584 \\
(1,2,4) & $b$-bit score, $b=24$ & 1 & 2.81e+9 & 708.579 \\
(1,2,4) & $b$-bit score, $b=52$ & 1 & 2.81e+9 & 708.579 \\
(1,2,4) & $b$-bit both, $b=2$ & 1 & 5.73e+6 & 525.460 \\
(1,2,4) & $b$-bit both, $b=3$ & 1 & 2.55e+7 & 566.215 \\
(1,2,4) & $b$-bit both, $b=4$ & 1 & 8.34e+7 & 792.684 \\
(1,2,4) & $b$-bit both, $b=6$ & 1 & 1.29e+7 & 688.842 \\
(1,2,4) & $b$-bit both, $b=8$ & 1 & 5.98e+7 & 708.573 \\
(1,2,4) & $b$-bit both, $b=12$ & 1 & 5.29e+8 & 708.567 \\
(1,2,4) & $b$-bit both, $b=16$ & 1 & 3.48e+9 & 708.591 \\
(1,2,4) & $b$-bit both, $b=24$ & 1 & 2.81e+9 & 708.579 \\
(1,2,4) & $b$-bit both, $b=52$ & 1 & 2.81e+9 & 708.579 \\
\bottomrule
\end{tabular}
\begin{tablenotes}\footnotesize
\item 400 paired replications per column; $K = N/m$. Rows are omitted when the pattern does not divide $m$. Source: \texttt{results/processed/ablation\_logistic\_summary.csv}.
\end{tablenotes}
\end{threeparttable}
\end{table}