precision.tex

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

precision.tex

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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] (0.7,0.8) -- (6.1,0.8);
4 \node[font=\small,align=center] at (3.4,4.25) {unclipped contributions $s_e\epsilon_e$};
5 \path[draw=black,fill=black!12,line width=.6pt] (1.132,0.8) rectangle (2.068,1.925);
6 \node[font=\small,align=center,font=\scriptsize] at (1.6,0.5) {edge 1};
7 \node[font=\small,align=center,font=\scriptsize] at (1.6,2.145) {$\frac{1}{4}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (2.932,0.8) rectangle (3.868,1.925);
9 \node[font=\small,align=center,font=\scriptsize] at (3.4,0.5) {edge 2};
10 \node[font=\small,align=center,font=\scriptsize] at (3.4,2.145) {$\frac{1}{4}$};
11 \path[draw=black,fill=black!12,line width=.6pt] (4.732,0.8) rectangle (5.668,3.05);
12 \node[font=\small,align=center,font=\scriptsize] at (5.2,0.5) {edge 3};
13 \node[font=\small,align=center,font=\scriptsize] at (5.2,3.27) {$\frac{1}{2}$};
14 \draw[line width=.6pt] (7.8,0.8) -- (13.2,0.8);
15 \node[font=\small,align=center] at (10.5,4.25) {clipped contributions};
16 \path[draw=black,fill=black!12,line width=.6pt] (8.232,0.8) rectangle (9.168,1.25);
17 \node[font=\small,align=center,font=\scriptsize] at (8.7,0.5) {edge 1};
18 \node[font=\small,align=center,font=\scriptsize] at (8.7,1.47) {$\frac{1}{10}$};
19 \path[draw=black,fill=black!12,line width=.6pt] (10.032,0.8) rectangle (10.968,2.15);
20 \node[font=\small,align=center,font=\scriptsize] at (10.5,0.5) {edge 2};
21 \node[font=\small,align=center,font=\scriptsize] at (10.5,2.37) {$\frac{3}{10}$};
22 \path[draw=black,fill=black!12,line width=.6pt] (11.832,0.8) rectangle (12.768,3.5);
23 \node[font=\small,align=center,font=\scriptsize] at (12.3,0.5) {edge 3};
24 \node[font=\small,align=center,font=\scriptsize] at (12.3,3.72) {$\frac{3}{5}$};
25 \node[font=\small,align=center,font=\scriptsize] at (7,0.05) {Both allocations spend exactly one unit of error budget.};
26 \end{tikzpicture}

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