\begin{table}[p]
\centering\scriptsize
\begin{threeparttable}
\caption{Ablation (exponential, $N = 1,572,864$): 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}{@{}llrr@{}}
\toprule
Pattern & curvature & $q$ & $m = 96$ \\
\midrule
(1) & exact & 0 & 13.223 \\
(1) & exact & 1 & 0.139 \\
(1) & exact & 2 & 1.55e-5 \\
(1) & exact & 3 & 2.42e-13 \\
(1) & stale & 1 & 0.273 \\
(1) & stale & 2 & 0.003 \\
(1) & stale & 3 & 2.98e-5 \\
(1) & single & 1 & 0.139 \\
(1) & single & 2 & 1.55e-5 \\
(1) & single & 3 & 2.42e-13 \\
(1,2) & exact & 0 & 0.323 \\
(1,2) & exact & 1 & 1.29e-4 \\
(1,2) & exact & 2 & 3.32e-11 \\
(1,2) & exact & 3 & 1.57e-13 \\
(1,2) & stale & 1 & 0.003 \\
(1,2) & stale & 2 & 3.27e-5 \\
(1,2) & stale & 3 & 3.35e-7 \\
(1,2) & single & 1 & 1.29e-4 \\
(1,2) & single & 2 & 3.32e-11 \\
(1,2) & single & 3 & 1.57e-13 \\
(1,3) & exact & 0 & 0.437 \\
(1,3) & exact & 1 & 1.94e-4 \\
(1,3) & exact & 2 & 5.28e-11 \\
(1,3) & exact & 3 & 1.64e-13 \\
(1,2,4) & exact & 0 & 0.316 \\
(1,2,4) & exact & 1 & 1.30e-4 \\
(1,2,4) & exact & 2 & 3.44e-11 \\
(1,2,4) & exact & 3 & 1.51e-13 \\
(1,2,4) & stale & 1 & 0.003 \\
(1,2,4) & stale & 2 & 3.43e-5 \\
(1,2,4) & stale & 3 & 3.55e-7 \\
(1,2,4) & single & 1 & 1.30e-4 \\
(1,2,4) & single & 2 & 3.44e-11 \\
(1,2,4) & single & 3 & 1.51e-13 \\
(1,2,3) & exact & 0 & 0.446 \\
(1,2,3) & exact & 1 & 2.70e-4 \\
(1,2,3) & exact & 2 & 1.75e-10 \\
(1,2,3) & exact & 3 & 1.54e-13 \\
(1,2,4,8) & exact & 0 & 0.387 \\
(1,2,4,8) & exact & 1 & 1.98e-4 \\
(1,2,4,8) & exact & 2 & 8.24e-11 \\
(1,2,4,8) & exact & 3 & 1.53e-13 \\
(1,2,3,4) & exact & 0 & 1.003 \\
(1,2,3,4) & exact & 1 & 0.001 \\
(1,2,3,4) & exact & 2 & 5.56e-9 \\
(1,2,3,4) & exact & 3 & 1.43e-13 \\
\midrule
(1) & $b$-bit Hessian, $b=2$ & 1 & 0.140 \\
(1) & $b$-bit Hessian, $b=3$ & 1 & 0.140 \\
(1) & $b$-bit Hessian, $b=4$ & 1 & 0.140 \\
(1) & $b$-bit Hessian, $b=6$ & 1 & 0.091 \\
(1) & $b$-bit Hessian, $b=8$ & 1 & 0.140 \\
(1) & $b$-bit Hessian, $b=12$ & 1 & 0.139 \\
(1) & $b$-bit Hessian, $b=16$ & 1 & 0.139 \\
(1) & $b$-bit Hessian, $b=24$ & 1 & 0.139 \\
(1) & $b$-bit Hessian, $b=52$ & 1 & 0.139 \\
(1) & $b$-bit score, $b=2$ & 1 & 1.792 \\
(1) & $b$-bit score, $b=3$ & 1 & 0.728 \\
(1) & $b$-bit score, $b=4$ & 1 & 0.522 \\
(1) & $b$-bit score, $b=6$ & 1 & 0.165 \\
(1) & $b$-bit score, $b=8$ & 1 & 0.142 \\
(1) & $b$-bit score, $b=12$ & 1 & 0.139 \\
(1) & $b$-bit score, $b=16$ & 1 & 0.139 \\
(1) & $b$-bit score, $b=24$ & 1 & 0.139 \\
(1) & $b$-bit score, $b=52$ & 1 & 0.139 \\
(1) & $b$-bit both, $b=2$ & 1 & 1.482 \\
(1) & $b$-bit both, $b=3$ & 1 & 0.985 \\
(1) & $b$-bit both, $b=4$ & 1 & 0.310 \\
(1) & $b$-bit both, $b=6$ & 1 & 0.129 \\
(1) & $b$-bit both, $b=8$ & 1 & 0.143 \\
(1) & $b$-bit both, $b=12$ & 1 & 0.139 \\
(1) & $b$-bit both, $b=16$ & 1 & 0.139 \\
(1) & $b$-bit both, $b=24$ & 1 & 0.139 \\
(1) & $b$-bit both, $b=52$ & 1 & 0.139 \\
(1,2) & $b$-bit Hessian, $b=2$ & 1 & 5.20e-4 \\
(1,2) & $b$-bit Hessian, $b=3$ & 1 & 5.20e-4 \\
(1,2) & $b$-bit Hessian, $b=4$ & 1 & 5.20e-4 \\
(1,2) & $b$-bit Hessian, $b=6$ & 1 & 5.20e-4 \\
(1,2) & $b$-bit Hessian, $b=8$ & 1 & 4.80e-4 \\
(1,2) & $b$-bit Hessian, $b=12$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit Hessian, $b=16$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit Hessian, $b=24$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit Hessian, $b=52$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit score, $b=2$ & 1 & 0.034 \\
(1,2) & $b$-bit score, $b=3$ & 1 & 0.017 \\
(1,2) & $b$-bit score, $b=4$ & 1 & 0.008 \\
(1,2) & $b$-bit score, $b=6$ & 1 & 0.002 \\
(1,2) & $b$-bit score, $b=8$ & 1 & 5.35e-4 \\
(1,2) & $b$-bit score, $b=12$ & 1 & 1.37e-4 \\
(1,2) & $b$-bit score, $b=16$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit score, $b=24$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit score, $b=52$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit both, $b=2$ & 1 & 0.034 \\
(1,2) & $b$-bit both, $b=3$ & 1 & 0.017 \\
(1,2) & $b$-bit both, $b=4$ & 1 & 0.008 \\
(1,2) & $b$-bit both, $b=6$ & 1 & 0.002 \\
(1,2) & $b$-bit both, $b=8$ & 1 & 6.71e-4 \\
(1,2) & $b$-bit both, $b=12$ & 1 & 1.38e-4 \\
(1,2) & $b$-bit both, $b=16$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit both, $b=24$ & 1 & 1.29e-4 \\
(1,2) & $b$-bit both, $b=52$ & 1 & 1.29e-4 \\
(1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 4.74e-4 \\
(1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 4.74e-4 \\
(1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 4.74e-4 \\
(1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 4.74e-4 \\
(1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 4.33e-4 \\
(1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 1.41e-4 \\
(1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit score, $b=2$ & 1 & 0.033 \\
(1,2,4) & $b$-bit score, $b=3$ & 1 & 0.017 \\
(1,2,4) & $b$-bit score, $b=4$ & 1 & 0.008 \\
(1,2,4) & $b$-bit score, $b=6$ & 1 & 0.002 \\
(1,2,4) & $b$-bit score, $b=8$ & 1 & 5.47e-4 \\
(1,2,4) & $b$-bit score, $b=12$ & 1 & 1.33e-4 \\
(1,2,4) & $b$-bit score, $b=16$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit score, $b=24$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit score, $b=52$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit both, $b=2$ & 1 & 0.033 \\
(1,2,4) & $b$-bit both, $b=3$ & 1 & 0.017 \\
(1,2,4) & $b$-bit both, $b=4$ & 1 & 0.008 \\
(1,2,4) & $b$-bit both, $b=6$ & 1 & 0.002 \\
(1,2,4) & $b$-bit both, $b=8$ & 1 & 7.26e-4 \\
(1,2,4) & $b$-bit both, $b=12$ & 1 & 1.44e-4 \\
(1,2,4) & $b$-bit both, $b=16$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit both, $b=24$ & 1 & 1.30e-4 \\
(1,2,4) & $b$-bit both, $b=52$ & 1 & 1.30e-4 \\
\bottomrule
\end{tabular}
\begin{tablenotes}\footnotesize
\item 1000 paired replications per column; $K = N/m$. Rows are omitted when the pattern does not divide $m$. Source: \texttt{results/processed/ablation\_exponential\_summary.csv}.
\end{tablenotes}
\end{threeparttable}
\end{table}