amortization.tex

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

amortization.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[black!13,line width=.25pt] (0.9,0.8) -- (0.9,3.95);
4 \draw[] (0.9,0.74) -- (0.9,0.86);
5 \node[font=\small,align=center,font=\scriptsize] at (0.9,0.54) {0};
6 \draw[black!13,line width=.25pt] (2.9,0.8) -- (2.9,3.95);
7 \draw[] (2.9,0.74) -- (2.9,0.86);
8 \node[font=\small,align=center,font=\scriptsize] at (2.9,0.54) {3};
9 \draw[black!13,line width=.25pt] (4.9,0.8) -- (4.9,3.95);
10 \draw[] (4.9,0.74) -- (4.9,0.86);
11 \node[font=\small,align=center,font=\scriptsize] at (4.9,0.54) {6};
12 \draw[black!13,line width=.25pt] (6.9,0.8) -- (6.9,3.95);
13 \draw[] (6.9,0.74) -- (6.9,0.86);
14 \node[font=\small,align=center,font=\scriptsize] at (6.9,0.54) {9};
15 \draw[black!13,line width=.25pt] (8.9,0.8) -- (8.9,3.95);
16 \draw[] (8.9,0.74) -- (8.9,0.86);
17 \node[font=\small,align=center,font=\scriptsize] at (8.9,0.54) {12};
18 \draw[black!13,line width=.25pt] (0.9,0.8) -- (8.9,0.8);
19 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.74,0.8) {0};
20 \draw[black!13,line width=.25pt] (0.9,1.85) -- (8.9,1.85);
21 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.74,1.85) {30};
22 \draw[black!13,line width=.25pt] (0.9,2.9) -- (8.9,2.9);
23 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.74,2.9) {60};
24 \draw[black!13,line width=.25pt] (0.9,3.95) -- (8.9,3.95);
25 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.74,3.95) {90};
26 \draw[->,line width=.6pt] (0.9,0.8) -- (9.02,0.8);
27 \draw[->,line width=.6pt] (0.9,0.8) -- (0.9,4.07);
28 \node[font=\small,align=center,font=\scriptsize] at (4.9,0.25) {reuse count $R$};
29 \node[font=\small,align=center,anchor=west,font=\scriptsize] at (0.9,4.35) {toy time units};
30 \draw[line width=1.1pt] plot coordinates {(0.9,0.8) (1.566667,1.045) (2.233333,1.29) (2.9,1.535) (3.566667,1.78) (4.233333,2.025) (4.9,2.27) (5.566667,2.515) (6.233333,2.76) (6.9,3.005) (7.566667,3.25) (8.233333,3.495) (8.9,3.74)};
31 \draw[dashed,line width=1.1pt] plot coordinates {(0.9,1.85) (1.566667,1.92) (2.233333,1.99) (2.9,2.06) (3.566667,2.13) (4.233333,2.2) (4.9,2.27) (5.566667,2.34) (6.233333,2.41) (6.9,2.48) (7.566667,2.55) (8.233333,2.62) (8.9,2.69)};
32 \path[fill=black] (4.9,2.27) circle (0.075);
33 \node[font=\small,align=center] at (11.6,3.4) {solid: $7R$};
34 \node[font=\small,align=center] at (11.6,2.3) {dashed: $30+2R$};
35 \node[font=\small,align=center] at (11.6,1.2) {tie at $6$\\first win at $7$};
36 \end{tikzpicture}

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