Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \draw[line width=.6pt] (0.75,0.8) -- (6.75,0.8);
4 \node[font=\small,align=center] at (3.75,4.2) {$n/(b+2r)$ with $b=2,r=1$};
5 \path[draw=black,fill=black!12,line width=.6pt] (1.11,0.8) rectangle (1.89,1.13125);
6 \node[font=\small,align=center,font=\scriptsize] at (1.5,0.5) {6};
7 \node[font=\small,align=center,font=\scriptsize] at (1.5,1.35125) {$\frac{3}{2}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (2.61,0.8) rectangle (3.39,1.4625);
9 \node[font=\small,align=center,font=\scriptsize] at (3,0.5) {12};
10 \node[font=\small,align=center,font=\scriptsize] at (3,1.6825) {$3$};
11 \path[draw=black,fill=black!12,line width=.6pt] (4.11,0.8) rectangle (4.89,2.125);
12 \node[font=\small,align=center,font=\scriptsize] at (4.5,0.5) {24};
13 \node[font=\small,align=center,font=\scriptsize] at (4.5,2.345) {$6$};
14 \path[draw=black,fill=black!12,line width=.6pt] (5.61,0.8) rectangle (6.39,3.45);
15 \node[font=\small,align=center,font=\scriptsize] at (6,0.5) {48};
16 \node[font=\small,align=center,font=\scriptsize] at (6,3.67) {$12$};
17 \node[font=\small,align=center,font=\scriptsize] at (3.75,0.1) {ambient dimension $n$};
18 \node[font=\small,align=center] at (10.55,3.8) {Six-dimensional running operator};
19 \node[font=\small,align=center,font=\small] at (10.55,2.85) {dense: $36$ scalars, $72q$ work};
20 \node[font=\small,align=center,font=\small] at (10.55,1.9) {BDLR: $24$ scalars, $48q$ work};
21 \node[font=\small,align=center,font=\small] at (10.55,0.95) {ratio: $3/2$, not a timing result};
22 \end{tikzpicture}

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