\begin{table}[p]
\centering\scriptsize
\begin{threeparttable}
\caption{Ablation (logistic, $N = 786,432$): 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 & $q$ & $m = 192$ & $m = 768$ \\
\midrule
(1) & exact & 0 & 52.268 & 12.296 \\
(1) & exact & 1 & 1.350 & 0.073 \\
(1) & exact & 2 & 8.80e-4 & 2.61e-6 \\
(1) & exact & 3 & 3.75e-10 & 1.27e-13 \\
(1) & stale & 1 & 0.615 & 0.036 \\
(1) & stale & 2 & 0.024 & 3.32e-4 \\
(1) & stale & 3 & 9.10e-4 & 3.14e-6 \\
(1) & single & 1 & 9.113 & 1.013 \\
(1) & single & 2 & 3.342 & 0.167 \\
(1) & single & 3 & 1.538 & 0.030 \\
(1,2) & exact & 0 & 11.228 & 1.167 \\
(1,2) & exact & 1 & 0.061 & 5.63e-4 \\
(1,2) & exact & 2 & 1.91e-6 & 2.41e-10 \\
(1,2) & exact & 3 & 1.30e-13 & 1.27e-13 \\
(1,2) & stale & 1 & 0.490 & 0.014 \\
(1,2) & stale & 2 & 0.019 & 1.62e-4 \\
(1,2) & stale & 3 & 7.41e-4 & 1.98e-6 \\
(1,2) & single & 1 & 1.900 & 0.121 \\
(1,2) & single & 2 & 0.710 & 0.020 \\
(1,2) & single & 3 & 0.336 & 0.004 \\
(1,3) & exact & 0 & 23.360 & 1.201 \\
(1,3) & exact & 1 & 0.735 & 6.83e-4 \\
(1,3) & exact & 2 & 0.004 & 3.61e-10 \\
(1,3) & exact & 3 & 1.39e-7 & 1.27e-13 \\
(1,2,4) & exact & 0 & 267.576 & 1.511 \\
(1,2,4) & exact & 1 & 1410.845 & 8.22e-4 \\
(1,2,4) & exact & 2 & 5.77e+5 & 5.37e-10 \\
(1,2,4) & exact & 3 & 1.55e+13 & 1.27e-13 \\
(1,2,4) & stale & 1 & 167.463 & 0.018 \\
(1,2,4) & stale & 2 & 112.549 & 2.21e-4 \\
(1,2,4) & stale & 3 & 64.138 & 2.76e-6 \\
(1,2,4) & single & 1 & 1415.946 & 0.167 \\
(1,2,4) & single & 2 & 4.37e+5 & 0.028 \\
(1,2,4) & single & 3 & 7.63e+94 & 0.006 \\
(1,2,3) & exact & 0 & 23.384 & 2.154 \\
(1,2,3) & exact & 1 & 2.991 & 0.002 \\
(1,2,3) & exact & 2 & 0.073 & 2.21e-9 \\
(1,2,3) & exact & 3 & 4.99e-5 & 1.28e-13 \\
(1,2,4,8) & exact & 0 & 3530.386 & 1.864 \\
(1,2,4,8) & exact & 1 & 8.08e+5 & 0.001 \\
(1,2,4,8) & exact & 2 & 4.30e+13 & 1.18e-9 \\
(1,2,4,8) & exact & 3 & 7.62e+39 & 1.28e-13 \\
(1,2,3,4) & exact & 0 & 792.244 & 4.986 \\
(1,2,3,4) & exact & 1 & 5.62e+4 & 0.009 \\
(1,2,3,4) & exact & 2 & 1.55e+10 & 5.93e-8 \\
(1,2,3,4) & exact & 3 & 1.55e+10 & 1.27e-13 \\
\midrule
(1) & $b$-bit Hessian, $b=2$ & 1 & 3.520 & 0.759 \\
(1) & $b$-bit Hessian, $b=3$ & 1 & 3.313 & 0.682 \\
(1) & $b$-bit Hessian, $b=4$ & 1 & 1.939 & 0.306 \\
(1) & $b$-bit Hessian, $b=6$ & 1 & 1.412 & 0.142 \\
(1) & $b$-bit Hessian, $b=8$ & 1 & 1.351 & 0.077 \\
(1) & $b$-bit Hessian, $b=12$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit Hessian, $b=16$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit Hessian, $b=24$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit Hessian, $b=52$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit score, $b=2$ & 1 & 3.663 & 0.861 \\
(1) & $b$-bit score, $b=3$ & 1 & 2.006 & 0.446 \\
(1) & $b$-bit score, $b=4$ & 1 & 1.626 & 0.241 \\
(1) & $b$-bit score, $b=6$ & 1 & 1.375 & 0.095 \\
(1) & $b$-bit score, $b=8$ & 1 & 1.352 & 0.075 \\
(1) & $b$-bit score, $b=12$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit score, $b=16$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit score, $b=24$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit score, $b=52$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit both, $b=2$ & 1 & 4.782 & 1.133 \\
(1) & $b$-bit both, $b=3$ & 1 & 3.480 & 0.791 \\
(1) & $b$-bit both, $b=4$ & 1 & 2.180 & 0.382 \\
(1) & $b$-bit both, $b=6$ & 1 & 1.440 & 0.154 \\
(1) & $b$-bit both, $b=8$ & 1 & 1.353 & 0.079 \\
(1) & $b$-bit both, $b=12$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit both, $b=16$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit both, $b=24$ & 1 & 1.350 & 0.073 \\
(1) & $b$-bit both, $b=52$ & 1 & 1.350 & 0.073 \\
(1,2) & $b$-bit Hessian, $b=2$ & 1 & 0.714 & 0.072 \\
(1,2) & $b$-bit Hessian, $b=3$ & 1 & 0.654 & 0.066 \\
(1,2) & $b$-bit Hessian, $b=4$ & 1 & 0.256 & 0.027 \\
(1,2) & $b$-bit Hessian, $b=6$ & 1 & 0.099 & 0.008 \\
(1,2) & $b$-bit Hessian, $b=8$ & 1 & 0.063 & 0.002 \\
(1,2) & $b$-bit Hessian, $b=12$ & 1 & 0.061 & 5.76e-4 \\
(1,2) & $b$-bit Hessian, $b=16$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit Hessian, $b=24$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit Hessian, $b=52$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit score, $b=2$ & 1 & 0.855 & 0.116 \\
(1,2) & $b$-bit score, $b=3$ & 1 & 0.461 & 0.058 \\
(1,2) & $b$-bit score, $b=4$ & 1 & 0.234 & 0.030 \\
(1,2) & $b$-bit score, $b=6$ & 1 & 0.083 & 0.008 \\
(1,2) & $b$-bit score, $b=8$ & 1 & 0.063 & 0.002 \\
(1,2) & $b$-bit score, $b=12$ & 1 & 0.061 & 5.71e-4 \\
(1,2) & $b$-bit score, $b=16$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit score, $b=24$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit score, $b=52$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit both, $b=2$ & 1 & 1.093 & 0.136 \\
(1,2) & $b$-bit both, $b=3$ & 1 & 0.766 & 0.085 \\
(1,2) & $b$-bit both, $b=4$ & 1 & 0.345 & 0.040 \\
(1,2) & $b$-bit both, $b=6$ & 1 & 0.115 & 0.011 \\
(1,2) & $b$-bit both, $b=8$ & 1 & 0.065 & 0.003 \\
(1,2) & $b$-bit both, $b=12$ & 1 & 0.061 & 5.84e-4 \\
(1,2) & $b$-bit both, $b=16$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit both, $b=24$ & 1 & 0.061 & 5.63e-4 \\
(1,2) & $b$-bit both, $b=52$ & 1 & 0.061 & 5.63e-4 \\
(1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 710.398 & 0.093 \\
(1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 1702.282 & 0.085 \\
(1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 1382.610 & 0.035 \\
(1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 1398.623 & 0.010 \\
(1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 1400.676 & 0.002 \\
(1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 1411.781 & 8.38e-4 \\
(1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 1410.756 & 8.21e-4 \\
(1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 1410.845 & 8.22e-4 \\
(1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 1410.845 & 8.22e-4 \\
(1,2,4) & $b$-bit score, $b=2$ & 1 & 1328.049 & 0.159 \\
(1,2,4) & $b$-bit score, $b=3$ & 1 & 1499.669 & 0.081 \\
(1,2,4) & $b$-bit score, $b=4$ & 1 & 1408.276 & 0.041 \\
(1,2,4) & $b$-bit score, $b=6$ & 1 & 1407.339 & 0.010 \\
(1,2,4) & $b$-bit score, $b=8$ & 1 & 1413.145 & 0.003 \\
(1,2,4) & $b$-bit score, $b=12$ & 1 & 1410.772 & 8.33e-4 \\
(1,2,4) & $b$-bit score, $b=16$ & 1 & 1410.839 & 8.22e-4 \\
(1,2,4) & $b$-bit score, $b=24$ & 1 & 1410.845 & 8.22e-4 \\
(1,2,4) & $b$-bit score, $b=52$ & 1 & 1410.845 & 8.22e-4 \\
(1,2,4) & $b$-bit both, $b=2$ & 1 & 662.576 & 0.185 \\
(1,2,4) & $b$-bit both, $b=3$ & 1 & 1807.436 & 0.119 \\
(1,2,4) & $b$-bit both, $b=4$ & 1 & 1380.154 & 0.054 \\
(1,2,4) & $b$-bit both, $b=6$ & 1 & 1395.142 & 0.015 \\
(1,2,4) & $b$-bit both, $b=8$ & 1 & 1402.962 & 0.003 \\
(1,2,4) & $b$-bit both, $b=12$ & 1 & 1411.708 & 8.50e-4 \\
(1,2,4) & $b$-bit both, $b=16$ & 1 & 1410.751 & 8.21e-4 \\
(1,2,4) & $b$-bit both, $b=24$ & 1 & 1410.845 & 8.22e-4 \\
(1,2,4) & $b$-bit both, $b=52$ & 1 & 1410.845 & 8.22e-4 \\
\bottomrule
\end{tabular}
\begin{tablenotes}\footnotesize
\item 400 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 logistic model in \texttt{results/processed/}.
\end{tablenotes}
\end{threeparttable}
\end{table}