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Break up tables

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Daniel Hillerström 5 years ago
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1 changed files with 155 additions and 96 deletions
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      thesis.tex

251
thesis.tex
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@ -17429,35 +17429,22 @@ at least $n2^n$ steps in the overall reduction sequence.
\newcommand{\tooslow}{-}
\newcommand{\tableone}
\newcommand{\tablesmlnjintegration}
{\begin{table*}
\footnotesize
\begin{tabular}{@{}| l | r@{\,} | r@{\,} | r@{\,} |@{\,}| r@{\,} | r@{\,} | r@{\,} |@{\,}| r@{\,} |@{\,}| r@{\,} | r@{\,} | r@{\,} |@{\,}| r@{\,} | r@{\,} | r@{\,} | r@{\,} | r@{\,} |@{}}
\cline{2-16}
\centering
\begin{tabular}{ @{} | l | r@{\,} | @{\,} | r@{\,} | r@{\,} | r@{\,} | @{\,} | r@{\,} | r@{\,} | r@{\,} | r@{\,} | r@{\,} | @{} }
\cline{2-10}
\multicolumn{1}{l |}{} &
\multicolumn{6}{@{}c@{} |@{\,}|}{\textbf{Queens}} &
\multicolumn{9}{@{}c@{} |}{\textbf{Integration}}
\\\cline{2-16}
\\\cline{2-10}
\multicolumn{1}{c |}{} &
%% Queens subheadings
\multicolumn{3}{| @{}c@{} |@{\,}|}{\textbf{First solution}} &
\multicolumn{3}{| @{}c@{} |@{\,}|}{\textbf{All solutions}} &
%% Integration subheadings
\multicolumn{1}{@{}c@{} |@{\,}|}{\textbf{Id}} &
\multicolumn{3}{ @{}c@{} |@{\,}|}{\textbf{Squaring}} &
\multicolumn{5}{ @{}c@{} |}{\textbf{Logistic}}
\\\cline{2-16}
\\\cline{2-10}
\multicolumn{1}{c |}{\emph{Parameter\!\!}} &
%% Queens parameters.
%%% first solution
\multicolumn{1}{@{}c@{} |}{$20$} &
\multicolumn{1}{@{}c@{} |}{$24$} &
\multicolumn{1}{@{}c@{} |@{\,}|}{$28$} &
%%% all solutions
\multicolumn{1}{@{}c@{} |}{$8$} &
\multicolumn{1}{@{}c@{} |}{$10$} &
\multicolumn{1}{@{}c@{} |@{\,}|}{$12$} &
%% Integration parameters.
%%% Identity
\multicolumn{1}{@{}c@{} |@{\,}|}{$20$} &
@ -17475,13 +17462,6 @@ at least $n2^n$ steps in the overall reduction sequence.
%% Results: \Naive.
\Naive &
%%% Queens.
$\tooslow$ &
$\tooslow$ &
$\tooslow$ &
$\!\!217.74$ &
$\tooslow$ &
$\tooslow$ &
%%% Integration.
$\!\!12.89$ &
$\!\!45.04$ &
@ -17496,13 +17476,6 @@ at least $n2^n$ steps in the overall reduction sequence.
%% Results: Berger.
Berger &
%%% Queens.
$11.24$ &
$15.70$ &
$\tooslow$ &
$2.06$ &
$2.86$ &
$3.64$ &
%%% Integration.
$5.18$ &
$\!\!20.62$ &
@ -17517,13 +17490,6 @@ at least $n2^n$ steps in the overall reduction sequence.
%% Results: Modulus.
Pruned &
%%% Queens.
$2.13$ &
$2.54$ &
$2.91$ &
$1.04$ &
$1.24$ &
$1.39$ &
%%% Integration.
$2.07$ &
$3.78$ &
@ -17534,7 +17500,70 @@ at least $n2^n$ steps in the overall reduction sequence.
$6.42$ &
$7.26$ &
$7.94$
\\\cline{1-16}
\\\cline{1-10}
\end{tabular}
\caption{SML/NJ: integration benchmark runtime relative to effectful implementation.}
\label{tbl:results-smlnj-integration}
\end{table*}}
\newcommand{\tableone}
{\begin{table*}
\centering
\begin{tabular}{@{} | l | r@{\,} | r@{\,} | r@{\,} | @{\,} | r@{\,} | r@{\,} | r@{\,} |}
\cline{2-7}
\multicolumn{1}{l |}{} &
\multicolumn{6}{@{}c@{} |}{\textbf{Queens}}
\\\cline{2-7}
\multicolumn{1}{c |}{} &
%% Queens subheadings
\multicolumn{3}{| @{}c@{} |@{\,}|}{\textbf{First solution}} &
\multicolumn{3}{ @{}c@{} |}{\textbf{All solutions}}
\\\cline{2-7}
\multicolumn{1}{c |}{\emph{Parameter\!\!}} &
%% Queens parameters.
%%% first solution
\multicolumn{1}{@{}c@{} |}{$20$} &
\multicolumn{1}{@{}c@{} |}{$24$} &
\multicolumn{1}{@{}c@{} |@{\,}|}{$28$} &
%%% all solutions
\multicolumn{1}{@{}c@{} |}{$8$} &
\multicolumn{1}{@{}c@{} |}{$10$} &
\multicolumn{1}{@{}c@{} |}{$12$}
\\\hline
%% Results: \Naive.
\Naive &
%%% Queens.
$\tooslow$ &
$\tooslow$ &
$\tooslow$ &
$\!\!217.74$ &
$\tooslow$ &
$\tooslow$
\\\hline
%% Results: Berger.
Berger &
%%% Queens.
$11.24$ &
$15.70$ &
$\tooslow$ &
$2.06$ &
$2.86$ &
$3.64$
\\\hline
%% Results: Modulus.
Pruned &
%%% Queens.
$2.13$ &
$2.54$ &
$2.91$ &
$1.04$ &
$1.24$ &
$1.39$
\\\cline{1-7}
%% Results: bespoke
Bespoke &
@ -17543,32 +17572,26 @@ at least $n2^n$ steps in the overall reduction sequence.
$0.12$ &
$0.13$ &
$0.13$ &
$0.12$ &
\multicolumn{9}{l}{}
$0.12$
\\\cline{1-7}
\end{tabular}
\caption{SML/NJ: runtime relative to effectful implementation.}
\label{tbl:results}
\caption{SML/NJ: $n$-Queens benchmark runtime relative to effectful implementation.}
\label{tbl:results-smlnj-queens}
\end{table*}}
\newcommand{\tabletwo}
{\begin{table*}
\footnotesize
\begin{tabular}{@{}| l | r@{\,} | r@{\,} | r@{\,} |@{\,}| r@{\,} | r@{\,} | r@{\,} |@{\,}| r@{\,} |@{\,}| r@{\,} | r@{\,} | r@{\,} |@{\,}| r@{\,} | r@{\,} | r@{\,} | r@{\,} | r@{\,} |@{}}
\cline{2-16}
\centering
\begin{tabular}{@{} | l | r@{\,} | r@{\,} | r@{\,} | @{\,} | r@{\,} | r@{\,} | r@{\,} |}
\cline{2-7}
\multicolumn{1}{l |}{} &
\multicolumn{6}{@{}c@{} |@{\,}|}{\textbf{Queens}} &
\multicolumn{9}{@{}c@{} |}{\textbf{Integration}}
\\\cline{2-16}
\multicolumn{6}{@{}c@{} |}{\textbf{Queens}}
\\\cline{2-7}
\multicolumn{1}{c |}{} &
%% Queens subheadings
\multicolumn{3}{| @{}c@{} |@{\,}|}{\textbf{First solution}} &
\multicolumn{3}{| @{}c@{} |@{\,}|}{\textbf{All solutions}} &
%% Integration subheadings
\multicolumn{1}{@{}c@{} |@{\,}|}{\textbf{Id}} &
\multicolumn{3}{ @{}c@{} |@{\,}|}{\textbf{Squaring}} &
\multicolumn{5}{ @{}c@{} |}{\textbf{Logistic}}
\\\cline{2-16}
\multicolumn{3}{ @{}c@{} |@{\,}|}{\textbf{First solution}} &
\multicolumn{3}{ @{}c@{} |}{\textbf{All solutions}}
\\\cline{2-7}
\multicolumn{1}{c |}{\emph{Parameter\!\!}} &
%% Queens parameters.
@ -17579,7 +17602,74 @@ at least $n2^n$ steps in the overall reduction sequence.
%%% all solutions
\multicolumn{1}{@{}c@{} |}{$8$} &
\multicolumn{1}{@{}c@{} |}{$10$} &
\multicolumn{1}{@{}c@{} |@{\,}|}{$12$} &
\multicolumn{1}{@{}c@{} |}{$12$}
\\\hline
%% Results: \Naive.
\Naive &
%%% Queens.
$\tooslow$ &
$\tooslow$ &
$\tooslow$ &
$17.31$ &
$\tooslow$ &
$\tooslow$
\\\hline
%% Results: Berger.
Berger &
%%% Queens.
$0.52$ &
$0.66$ &
$\tooslow$ &
$0.19$ &
$0.22$ &
$0.20$
\\\hline
%% Results: Modulus.
Pruned &
%%% Queens.
$0.11$ &
$0.11$ &
$0.13$ &
$0.10$ &
$0.10$ &
$0.08$
\\\hline
%% Results: bespoke
Bespoke &
% $0.14$ &
% $0.14$ &
$0.005$ &
$0.004$ &
$0.004$ &
$0.01$ &
$0.009$ &
$0.006$
\\\hline
\end{tabular}
\caption{MLton: $n$-Queens benchmark runtime relative to effectful implementation.}
\label{tbl:results-mlton-queens}
\end{table*}}
\newcommand{\tablemltonintegration}
{\begin{table*}
\centering
\begin{tabular}{ @{} | l | r@{\,} | @{\,} | r@{\,} | r@{\,} | r@{\,} | @{\,} | r@{\,} | r@{\,} | r@{\,} | r@{\,} | r@{\,} | @{} }
\cline{2-10}
\multicolumn{1}{l |}{} &
\multicolumn{9}{@{}c@{} |}{\textbf{Integration}}
\\\cline{2-10}
\multicolumn{1}{c |}{} &
%% Integration subheadings
\multicolumn{1}{@{}c@{} |@{\,}|}{\textbf{Id}} &
\multicolumn{3}{ @{}c@{} |@{\,}|}{\textbf{Squaring}} &
\multicolumn{5}{ @{}c@{} |}{\textbf{Logistic}}
\\\cline{2-10}
\multicolumn{1}{c |}{\emph{Parameter\!\!}} &
%% Integration parameters.
%%% Identity
\multicolumn{1}{@{}c@{} |@{\,}|}{$20$} &
@ -17597,13 +17687,6 @@ at least $n2^n$ steps in the overall reduction sequence.
%% Results: \Naive.
\Naive &
%%% Queens.
$\tooslow$ &
$\tooslow$ &
$\tooslow$ &
$17.31$ &
$\tooslow$ &
$\tooslow$ &
%%% Integration.
$1.45$ &
$4.51$ &
@ -17618,13 +17701,6 @@ at least $n2^n$ steps in the overall reduction sequence.
%% Results: Berger.
Berger &
%%% Queens.
$0.52$ &
$0.66$ &
$\tooslow$ &
$0.19$ &
$0.22$ &
$0.20$ &
%%% Integration.
$0.43$ &
$2.02$ &
@ -17639,13 +17715,6 @@ at least $n2^n$ steps in the overall reduction sequence.
%% Results: Modulus.
Pruned &
%%% Queens.
$0.11$ &
$0.11$ &
$0.13$ &
$0.10$ &
$0.10$ &
$0.08$ &
%%% Integration.
$0.14$ &
$0.39$ &
@ -17656,25 +17725,13 @@ at least $n2^n$ steps in the overall reduction sequence.
$0.86$ &
$1.03$ &
$1.21$
\\\cline{1-16}
%% Results: bespoke
Bespoke &
% $0.14$ &
% $0.14$ &
$0.005$ &
$0.004$ &
$0.004$ &
$0.01$ &
$0.009$ &
$0.006$ &
\multicolumn{9}{l}{}
\\\cline{1-7}
\\\hline
\end{tabular}
\caption{MLton: runtime relative to effectful implementation.}
\label{tbl:results-mlton}
\caption{MLton: integration benchmark runtime relative to effectful implementation.}
\label{tbl:results-mlton-integration}
\end{table*}}
%
\newcommand{\tablethree}
@ -17823,7 +17880,9 @@ at least $n2^n$ steps in the overall reduction sequence.
\end{table*}}
\tableone
\tablesmlnjintegration
\tabletwo
\tablemltonintegration
%%
%% Experiments

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