1\begin{table}[p]2\centering\scriptsize3\begin{threeparttable}4\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}5\begin{tabular}{@{}llrr@{}}6\toprule7Pattern & curvature & $q$ & $m = 96$ \\8\midrule9(1) & exact & 0 & 57.950 \\10(1) & exact & 1 & 3.417 \\11(1) & exact & 2 & 0.011 \\12(1) & exact & 3 & 1.24e-7 \\13(1) & stale & 1 & 1.302 \\14(1) & stale & 2 & 0.109 \\15(1) & stale & 3 & 0.009 \\16(1) & single & 1 & 17.275 \\17(1) & single & 2 & 11.674 \\18(1) & single & 3 & 10.562 \\19(1,2) & exact & 0 & 426.941 \\20(1,2) & exact & 1 & 2316.233 \\21(1,2) & exact & 2 & 9.35e+5 \\22(1,2) & exact & 3 & 1.61e+14 \\23(1,2) & stale & 1 & 139.167 \\24(1,2) & stale & 2 & 33.349 \\25(1,2) & stale & 3 & 3.160 \\26(1,2) & single & 1 & 2485.332 \\27(1,2) & single & 2 & 2.99e+6 \\28(1,2) & single & 3 & 5.18e+38 \\29(1,3) & exact & 0 & 4391.045 \\30(1,3) & exact & 1 & 3.31e+5 \\31(1,3) & exact & 2 & 5.73e+11 \\32(1,3) & exact & 3 & 7.08e+109 \\33(1,2,4) & exact & 0 & 4.32e+4 \\34(1,2,4) & exact & 1 & 6.04e+9 \\35(1,2,4) & exact & 2 & 4.29e+16 \\36(1,2,4) & exact & 3 & 4.32e+16 \\37(1,2,4) & stale & 1 & 4.30e+4 \\38(1,2,4) & stale & 2 & 4.27e+4 \\39(1,2,4) & stale & 3 & 4.25e+4 \\40(1,2,4) & single & 1 & 3.48e+26 \\41(1,2,4) & single & 2 & 5.80e+97 \\42(1,2,4) & single & 3 & 5.83e+97 \\43(1,2,3) & exact & 0 & 8352.835 \\44(1,2,3) & exact & 1 & 1.02e+6 \\45(1,2,3) & exact & 2 & 4.99e+13 \\46(1,2,3) & exact & 3 & 3.80e+106 \\47(1,2,4,8) & exact & 0 & 8.62e+4 \\48(1,2,4,8) & exact & 1 & 5.25e+10 \\49(1,2,4,8) & exact & 2 & 1.96e+24 \\50(1,2,4,8) & exact & 3 & 1.96e+24 \\51(1,2,3,4) & exact & 0 & 1.25e+5 \\52(1,2,3,4) & exact & 1 & 2.92e+11 \\53(1,2,3,4) & exact & 2 & 3.69e+23 \\54(1,2,3,4) & exact & 3 & 1.83e+89 \\55\midrule56(1) & $b$-bit Hessian, $b=2$ & 1 & 3.384 \\57(1) & $b$-bit Hessian, $b=3$ & 1 & 3.532 \\58(1) & $b$-bit Hessian, $b=4$ & 1 & 3.429 \\59(1) & $b$-bit Hessian, $b=6$ & 1 & 3.504 \\60(1) & $b$-bit Hessian, $b=8$ & 1 & 3.419 \\61(1) & $b$-bit Hessian, $b=12$ & 1 & 3.417 \\62(1) & $b$-bit Hessian, $b=16$ & 1 & 3.417 \\63(1) & $b$-bit Hessian, $b=24$ & 1 & 3.417 \\64(1) & $b$-bit Hessian, $b=52$ & 1 & 3.417 \\65(1) & $b$-bit score, $b=2$ & 1 & 4.460 \\66(1) & $b$-bit score, $b=3$ & 1 & 4.101 \\67(1) & $b$-bit score, $b=4$ & 1 & 3.687 \\68(1) & $b$-bit score, $b=6$ & 1 & 3.406 \\69(1) & $b$-bit score, $b=8$ & 1 & 3.421 \\70(1) & $b$-bit score, $b=12$ & 1 & 3.418 \\71(1) & $b$-bit score, $b=16$ & 1 & 3.417 \\72(1) & $b$-bit score, $b=24$ & 1 & 3.417 \\73(1) & $b$-bit score, $b=52$ & 1 & 3.417 \\74(1) & $b$-bit both, $b=2$ & 1 & 4.755 \\75(1) & $b$-bit both, $b=3$ & 1 & 4.303 \\76(1) & $b$-bit both, $b=4$ & 1 & 3.667 \\77(1) & $b$-bit both, $b=6$ & 1 & 3.489 \\78(1) & $b$-bit both, $b=8$ & 1 & 3.423 \\79(1) & $b$-bit both, $b=12$ & 1 & 3.418 \\80(1) & $b$-bit both, $b=16$ & 1 & 3.417 \\81(1) & $b$-bit both, $b=24$ & 1 & 3.417 \\82(1) & $b$-bit both, $b=52$ & 1 & 3.417 \\83(1,2) & $b$-bit Hessian, $b=2$ & 1 & 2721.153 \\84(1,2) & $b$-bit Hessian, $b=3$ & 1 & 2622.352 \\85(1,2) & $b$-bit Hessian, $b=4$ & 1 & 2278.291 \\86(1,2) & $b$-bit Hessian, $b=6$ & 1 & 2394.384 \\87(1,2) & $b$-bit Hessian, $b=8$ & 1 & 2305.622 \\88(1,2) & $b$-bit Hessian, $b=12$ & 1 & 2317.290 \\89(1,2) & $b$-bit Hessian, $b=16$ & 1 & 2316.103 \\90(1,2) & $b$-bit Hessian, $b=24$ & 1 & 2316.233 \\91(1,2) & $b$-bit Hessian, $b=52$ & 1 & 2316.233 \\92(1,2) & $b$-bit score, $b=2$ & 1 & 2443.159 \\93(1,2) & $b$-bit score, $b=3$ & 1 & 2241.467 \\94(1,2) & $b$-bit score, $b=4$ & 1 & 2359.819 \\95(1,2) & $b$-bit score, $b=6$ & 1 & 2305.944 \\96(1,2) & $b$-bit score, $b=8$ & 1 & 2316.935 \\97(1,2) & $b$-bit score, $b=12$ & 1 & 2316.057 \\98(1,2) & $b$-bit score, $b=16$ & 1 & 2316.229 \\99(1,2) & $b$-bit score, $b=24$ & 1 & 2316.233 \\100(1,2) & $b$-bit score, $b=52$ & 1 & 2316.233 \\101(1,2) & $b$-bit both, $b=2$ & 1 & 2852.513 \\102(1,2) & $b$-bit both, $b=3$ & 1 & 2537.858 \\103(1,2) & $b$-bit both, $b=4$ & 1 & 2321.353 \\104(1,2) & $b$-bit both, $b=6$ & 1 & 2383.708 \\105(1,2) & $b$-bit both, $b=8$ & 1 & 2306.320 \\106(1,2) & $b$-bit both, $b=12$ & 1 & 2317.114 \\107(1,2) & $b$-bit both, $b=16$ & 1 & 2316.099 \\108(1,2) & $b$-bit both, $b=24$ & 1 & 2316.233 \\109(1,2) & $b$-bit both, $b=52$ & 1 & 2316.233 \\110(1,2,4) & $b$-bit Hessian, $b=2$ & 1 & 1.22e+7 \\111(1,2,4) & $b$-bit Hessian, $b=3$ & 1 & 4.70e+6 \\112(1,2,4) & $b$-bit Hessian, $b=4$ & 1 & 6.75e+7 \\113(1,2,4) & $b$-bit Hessian, $b=6$ & 1 & 1.63e+7 \\114(1,2,4) & $b$-bit Hessian, $b=8$ & 1 & 3.20e+7 \\115(1,2,4) & $b$-bit Hessian, $b=12$ & 1 & 9.10e+8 \\116(1,2,4) & $b$-bit Hessian, $b=16$ & 1 & 7.52e+9 \\117(1,2,4) & $b$-bit Hessian, $b=24$ & 1 & 6.03e+9 \\118(1,2,4) & $b$-bit Hessian, $b=52$ & 1 & 6.04e+9 \\119(1,2,4) & $b$-bit score, $b=2$ & 1 & 5.76e+9 \\120(1,2,4) & $b$-bit score, $b=3$ & 1 & 5.92e+9 \\121(1,2,4) & $b$-bit score, $b=4$ & 1 & 5.92e+9 \\122(1,2,4) & $b$-bit score, $b=6$ & 1 & 6.06e+9 \\123(1,2,4) & $b$-bit score, $b=8$ & 1 & 6.03e+9 \\124(1,2,4) & $b$-bit score, $b=12$ & 1 & 6.04e+9 \\125(1,2,4) & $b$-bit score, $b=16$ & 1 & 6.04e+9 \\126(1,2,4) & $b$-bit score, $b=24$ & 1 & 6.04e+9 \\127(1,2,4) & $b$-bit score, $b=52$ & 1 & 6.04e+9 \\128(1,2,4) & $b$-bit both, $b=2$ & 1 & 1.20e+7 \\129(1,2,4) & $b$-bit both, $b=3$ & 1 & 4.69e+6 \\130(1,2,4) & $b$-bit both, $b=4$ & 1 & 6.79e+7 \\131(1,2,4) & $b$-bit both, $b=6$ & 1 & 1.63e+7 \\132(1,2,4) & $b$-bit both, $b=8$ & 1 & 3.20e+7 \\133(1,2,4) & $b$-bit both, $b=12$ & 1 & 9.10e+8 \\134(1,2,4) & $b$-bit both, $b=16$ & 1 & 7.52e+9 \\135(1,2,4) & $b$-bit both, $b=24$ & 1 & 6.03e+9 \\136(1,2,4) & $b$-bit both, $b=52$ & 1 & 6.04e+9 \\137\bottomrule138\end{tabular}139\begin{tablenotes}\footnotesize140\item 80 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}.141\end{tablenotes}142\end{threeparttable}143\end{table}144