%root: main.tex \usetikzlibrary{shapes.geometric}%for cylinder \usetikzlibrary{shapes.arrows}%for arrow shape \usetikzlibrary{shapes.misc} %rid of vertical spacing for booktabs rules \renewcommand{\aboverulesep}{0pt} \renewcommand{\belowrulesep}{0pt} \begin{figure}[h!] \centering \resizebox{\textwidth}{5.5cm}{% \begin{tikzpicture} %pdb cylinder \node[cylinder, text width=0.28\textwidth, align=center, draw=black, text=black, cylinder uses custom fill, cylinder body fill=blue!10, aspect=0.12, minimum height=5cm, minimum width=2.5cm, cylinder end fill=blue!50, shape border rotate=90] (cylinder) at (0, 0) { \tabcolsep=0.1cm \begin{tabular}{>{\small}c | >{\small}c | >{\small}c} \multicolumn{3}{c}{$\boldsymbol{OnTime}$}\\ %\toprule City$_\ell$ & $\Phi$ & \textbf{p}\\ \midrule Buffalo & $L_a$ & 0.9 \\ Chicago & $L_b$ & 0.5\\ Bremen & $L_c$ & 0.5\\ Zurich & $L_d$ & 1.0\\ \end{tabular}\\ \tabcolsep=0.05cm %\captionof{table}{Route} \begin{tabular}{>{\footnotesize}c | >{\footnotesize}c | >{\footnotesize}c | >{\footnotesize}c} \multicolumn{4}{c}{$\boldsymbol{Route$}}\\ %\toprule $\text{City}_1$ & $\text{City}_2$ & $\Phi$ & \textbf{p} \\ \midrule Buffalo & Chicago & $R_a$ & 1.0 \\ Chicago & Zurich & $R_b$ & 1.0 \\ %& $\cdots$ & $\cdots$ & $\cdots$ & $\cdots$ \\ Chicago & Bremen & $R_c$ & 1.0 \\ \end{tabular}}; %label below cylinder \node[below=0.2 cm of cylinder]{{\LARGE$ \pdb$}}; %First arrow \node[single arrow, right=0.25 of cylinder, draw=black, fill=black!65, text=white, minimum height=0.75cm, minimum width=0.25cm](arrow1) {\textbf{\abbrStepOne}}; \node[above=of arrow1](arrow1Label) {$\query$}; \usetikzlibrary{arrows.meta}%for the following arrow configurations \draw[line width=0.5mm, dashed, arrows = -{Latex[length=3mm, open]}] (arrow1Label)->(arrow1); %Query output (output of step 1) \node[rectangle, right=0.175 of arrow1, draw=black, text=black, fill=purple!10, minimum height=4.5cm, minimum width=2cm](rect) { \tabcolsep=0.075cm %\captionof{table}{Q} %\setlength{\cellspacetoplimit}{4pt} \begin{tabular}{>{\normalsize}c | >{\centering\arraybackslash\normalsize}m{1.95cm} | >{\centering\arraybackslash\small}m{1.95cm}} %\multicolumn{3}{c}{$\boldsymbol{\query(\pdb)}$}\\[1mm] %\toprule City & $\Phi$ & Circuit\\% & $\expct_{\idb \sim \probDist}[\query(\db)(t)]$ \\ \hline \midrule %\hline %\\\\[-3.5\medskipamount] Buffalo & $L_a R_a$ &\resizebox{!}{10mm}{ \begin{tikzpicture}[thick] \node[gen_tree_node](sink) at (0.5, 0.8){$\boldsymbol{\circmult}$}; \node[gen_tree_node](source1) at (0, 0){$L_a$}; \node[gen_tree_node](source2) at (1, 0){$R_a$}; \draw[->](source1)--(sink); \draw[->] (source2)--(sink); \end{tikzpicture}% & $0.5 \cdot 1.0 + 0.5 \cdot 1.0 = 1.0$ }\\% & $0.9$ \\ Chicago & $L_b(R_b + R_c)$\newline \text{Or}\newline $L_bR_b + L_bR_c$& \resizebox{!}{16mm} { \begin{tikzpicture}[thick] \node[gen_tree_node] (a1) at (1, 0){$R_b$}; \node[gen_tree_node] (b1) at (2, 0){$R_c$}; %level 1 \node[gen_tree_node] (a2) at (0.75, 0.8){$L_b$}; \node[gen_tree_node] (b2) at (1.5, 0.8){$\boldsymbol{\circplus}$}; %level 0 \node[gen_tree_node] (a3) at (1.1, 1.6){$\boldsymbol{\circmult}$}; %edges \draw[->] (a1) -- (b2); \draw[->] (b1) -- (b2); \draw[->] (a2) -- (a3); \draw[->] (b2) -- (a3); \end{tikzpicture} }\newline\text{Or}\newline %%%%%%%%%%% %Non factorized circuit% %%%%%%%%%%% \resizebox{!}{16mm} { \begin{tikzpicture}[thick] \node[gen_tree_node] (a2) at (0, 0){$R_b$}; \node[gen_tree_node] (b2) at (1, 0){$L_b$}; \node[gen_tree_node] (c2) at (2, 0){$R_c$}; %level 1 \node[gen_tree_node] (a1) at (0.5, 0.8){$\boldsymbol{\circmult}$}; \node[gen_tree_node] (b1) at (1.5, 0.8){$\boldsymbol{\circmult}$}; %level 0 \node[gen_tree_node] (a0) at (1.0, 1.6){$\boldsymbol{\circplus}$}; %edges \draw[->] (a2) -- (a1); \draw[->] (b2) -- (a1); \draw[->] (b2) -- (b1); \draw[->] (c2) -- (b1); \draw[->] (a1) -- (a0); \draw[->] (b1) -- (a0); \end{tikzpicture} }\\ \end{tabular} }; %label below rectangle \node[below=0.2cm of rect]{{\LARGE $\query(\pdb)\inparen{\tup}\equiv \poly_\tup\inparen{\vct{X}}$}}; %Second arrow \node[single arrow, right=0.25 of rect, draw=black, fill=black!65, text=white, minimum height=0.75cm, minimum width=0.25cm](arrow2) {\textbf{\abbrStepTwo}}; %Expectation computation; (output of step 2) \node[rectangle, right=0.25 of arrow2, rounded corners, draw=black, fill=red!10, text=black, minimum height=4.5cm, minimum width=2cm](rrect) { \tabcolsep=0.09cm %\captionof{table}{Q} \begin{tabular}{>{\small}c | >{\centering\arraybackslash\small}m{1.95cm}} %\multicolumn{2}{c}{$\expct\pbox{\poly(\vct{X})}$}\\[1mm] %\toprule City & $\mathbb{E}[\poly(\vct{X})]$\\ \midrule%[0.05pt] Buffalo & $1.0 \cdot 0.9 = 0.9$\\[3mm] Chicago & $(0.5 \cdot 1.0) + $\newline $\hspace{0.2cm}(0.5 \cdot 1.0)$\newline $= 1.0$\\ \end{tabular} }; %label of rounded rectangle \node[below=0.2cm of rrect]{{\LARGE $\expct\pbox{\poly(\vct{X})}$}}; \end{tikzpicture} } \caption{Intensional Evaluation Model} \label{fig:two-step} \end{figure}