Commit e831f171651f96913ff2dc05ada60759ac7bde7d

Authored by Rizwana Begum
1 parent bf41694a

moving figures around

Showing 1 changed file with 83 additions and 85 deletions
performance_clusters.tex
@@ -27,16 +27,6 @@ We search for the performance clusters using an algorithm that is similar to the @@ -27,16 +27,6 @@ We search for the performance clusters using an algorithm that is similar to the
27 first filter the settings that fall within a given inefficiency budget and 27 first filter the settings that fall within a given inefficiency budget and
28 then search for the optimal settings in the first pass. In the second pass, we find all of the 28 then search for the optimal settings in the first pass. In the second pass, we find all of the
29 settings that have a speedup within the specified cluster threshold of the optimal performance. 29 settings that have a speedup within the specified cluster threshold of the optimal performance.
30 -\begin{figure}[t]  
31 - \centering  
32 - \includegraphics[width=\columnwidth]{./figures/plots/496/stable_line_plots/lbm_stable_lineplot_annotated_5.pdf}  
33 -\vspace{-0.5em}  
34 -\caption{\textbf{Stable Regions and Transitions for \textit{lbm} with  
35 -Threshold of 5\% and Inefficiency Budget of 1.3:} Solid lines represent the  
36 -stable regions and vertical dashed lines mark the transitions made by  
37 -\textit{lbm}.}  
38 -\label{lbm-stable-line-5-annotated}  
39 -\end{figure}  
40 30
41 Figures~\ref{clusters-gobmk},~\ref{clusters-milc} plot the performance 31 Figures~\ref{clusters-gobmk},~\ref{clusters-milc} plot the performance
42 clusters during the execution of the benchmarks \textit{gobmk} and \textit{milc}. We 32 clusters during the execution of the benchmarks \textit{gobmk} and \textit{milc}. We
@@ -49,48 +39,6 @@ Cluster thresholds of 1\% and @@ -49,48 +39,6 @@ Cluster thresholds of 1\% and
49 A cluster threshold of less than 1\% may limit the ability to tune less often. 39 A cluster threshold of less than 1\% may limit the ability to tune less often.
50 While cluster thresholds greater than 5\% are probably not realistic as user is already 40 While cluster thresholds greater than 5\% are probably not realistic as user is already
51 compromising performance by setting low inefficiency budgets to save energy. 41 compromising performance by setting low inefficiency budgets to save energy.
52 -\begin{figure*}[t]  
53 - \begin{subfigure}[t]{\textwidth}  
54 - \centering  
55 - \vspace{-1em}  
56 - \includegraphics[width=\columnwidth]{{./figures/plots/496/stable_line_plots/stable_lineplot}.pdf}  
57 - \end{subfigure}%  
58 -\vspace{0.5em}  
59 -\caption{\textbf{Stable Regions of \textit{gcc} and \textit{lbm} for  
60 -Inefficiency Budget of 1.3:} Increase in cluster threshold increases the length  
61 -of the stable regions, which eventually leads to less transitions. Higher  
62 -inefficiency budgets allow system to run unconstrained throughout.}  
63 -\label{stable-regions}  
64 -\end{figure*}  
65 -\begin{figure*}[t]  
66 - \begin{subfigure}[t]{\textwidth}  
67 - \centering  
68 - \includegraphics[width=\columnwidth]{{./figures/plots/496/stability_metrics/transition_percent_across_thresholds}.pdf}  
69 - \end{subfigure}  
70 -\vspace{-0.5em}  
71 -\caption{\textbf{Number of Transitions with Varying Inefficiency Budgets and  
72 -Cluster Thresholds:} The number of frequency transitions decrease with increase in cluster  
73 -threshold. The amount of change varies with benchmark and inefficiency budget.}  
74 -%Decrease in number of transitions is dependent on benchmark and  
75 -%inefficiency budget.}  
76 -\label{transitions-bar}  
77 -\end{figure*}  
78 -  
79 -\begin{figure*}[t]  
80 - \begin{subfigure}[t]{\textwidth}  
81 - \centering  
82 - \includegraphics[width=\columnwidth]{{./figures/plots/496/stable_length_box/stable_length_box}.pdf}  
83 - \end{subfigure}%  
84 -\vspace{0.5em}  
85 -\caption{\textbf{Distribution of Length of Stable Regions:} The average length of  
86 -stable regions increases with cluster threshold.  
87 -%While inefficiency budget has significant impact on length of stable regions  
88 -%for \textit{lbm}, it doesn't change the length of stable regions of  
89 -%\textit{gobmk} much.  
90 -}  
91 -\label{box-lengths}  
92 -\end{figure*}  
93 -  
94 42
95 Figures~\ref{clusters-gobmk}(c),~\ref{clusters-gobmk}(d) plot the 43 Figures~\ref{clusters-gobmk}(c),~\ref{clusters-gobmk}(d) plot the
96 performance clusters for \textit{gobmk} for inefficiency budget of 1.3 and 44 performance clusters for \textit{gobmk} for inefficiency budget of 1.3 and
@@ -142,6 +90,29 @@ performance within set cluster threshold (for example samples 3-5 in @@ -142,6 +90,29 @@ performance within set cluster threshold (for example samples 3-5 in
142 Figures~\ref{clusters-gobmk}(a),~\ref{clusters-gobmk}(c)). 90 Figures~\ref{clusters-gobmk}(a),~\ref{clusters-gobmk}(c)).
143 Figure~\ref{clusters-milc} shows that \textit{milc} has similar trends as 91 Figure~\ref{clusters-milc} shows that \textit{milc} has similar trends as
144 \textit{gobmk}. 92 \textit{gobmk}.
  93 +\begin{figure}[t]
  94 + \centering
  95 + \includegraphics[width=\columnwidth]{./figures/plots/496/stable_line_plots/lbm_stable_lineplot_annotated_5.pdf}
  96 +\vspace{-0.5em}
  97 +\caption{\textbf{Stable Regions and Transitions for \textit{lbm} with
  98 +Threshold of 5\% and Inefficiency Budget of 1.3:} Solid lines represent the
  99 +stable regions and vertical dashed lines mark the transitions made by
  100 +\textit{lbm}.}
  101 +\label{lbm-stable-line-5-annotated}
  102 +\end{figure}
  103 +\begin{figure*}[t]
  104 + \begin{subfigure}[t]{\textwidth}
  105 + \centering
  106 + \vspace{-1em}
  107 + \includegraphics[width=\columnwidth]{{./figures/plots/496/stable_line_plots/stable_lineplot}.pdf}
  108 + \end{subfigure}%
  109 +\vspace{0.5em}
  110 +\caption{\textbf{Stable Regions of \textit{gcc} and \textit{lbm} for
  111 +Inefficiency Budget of 1.3:} Increase in cluster threshold increases the length
  112 +of the stable regions, which eventually leads to less transitions. Higher
  113 +inefficiency budgets allow system to run unconstrained throughout.}
  114 +\label{stable-regions}
  115 +\end{figure*}
145 116
146 An interesting observation from the performance clusters is that algorithms 117 An interesting observation from the performance clusters is that algorithms
147 like CoScale~\cite{deng2012coscale} that search for the best performing settings every interval starting 118 like CoScale~\cite{deng2012coscale} that search for the best performing settings every interval starting
@@ -150,6 +121,33 @@ overhead of optimal settings search by starting search from the settings selecte @@ -150,6 +121,33 @@ overhead of optimal settings search by starting search from the settings selecte
150 for the previous interval as application phases are often stable for multiple sample intervals. 121 for the previous interval as application phases are often stable for multiple sample intervals.
151 %as the application phases don't change drastically in 122 %as the application phases don't change drastically in
152 %short intervals. 123 %short intervals.
  124 +\begin{figure*}[t]
  125 + \begin{subfigure}[t]{\textwidth}
  126 + \centering
  127 + \includegraphics[width=\columnwidth]{{./figures/plots/496/stability_metrics/transition_percent_across_thresholds}.pdf}
  128 + \end{subfigure}
  129 +\vspace{-0.5em}
  130 +\caption{\textbf{Number of Transitions with Varying Inefficiency Budgets and
  131 +Cluster Thresholds:} The number of frequency transitions decrease with increase in cluster
  132 +threshold. The amount of change varies with benchmark and inefficiency budget.}
  133 +%Decrease in number of transitions is dependent on benchmark and
  134 +%inefficiency budget.}
  135 +\label{transitions-bar}
  136 +\end{figure*}
  137 +\begin{figure*}[t]
  138 + \begin{subfigure}[t]{\textwidth}
  139 + \centering
  140 + \includegraphics[width=\columnwidth]{{./figures/plots/496/stable_length_box/stable_length_box}.pdf}
  141 + \end{subfigure}%
  142 +\vspace{0.5em}
  143 +\caption{\textbf{Distribution of Length of Stable Regions:} The average length of
  144 +stable regions increases with cluster threshold.
  145 +%While inefficiency budget has significant impact on length of stable regions
  146 +%for \textit{lbm}, it doesn't change the length of stable regions of
  147 +%\textit{gobmk} much.
  148 +}
  149 +\label{box-lengths}
  150 +\end{figure*}
153 151
154 \subsection{Stable Regions} 152 \subsection{Stable Regions}
155 So far, we have made observations by 153 So far, we have made observations by
@@ -185,39 +183,6 @@ currently designing algorithms in hardware and software that are capable of tuni @@ -185,39 +183,6 @@ currently designing algorithms in hardware and software that are capable of tuni
185 running the application as future work. In Section~\ref{sec-algo-implications}, we 183 running the application as future work. In Section~\ref{sec-algo-implications}, we
186 propose ways in which length of stable regions and the available settings for a 184 propose ways in which length of stable regions and the available settings for a
187 given region can be predicted for energy management algorithms in real systems. 185 given region can be predicted for energy management algorithms in real systems.
188 -\begin{figure}[t]  
189 -% \begin{subfigure}[t]{0.45\textwidth}  
190 -% \centering  
191 -% \includegraphics[width=\columnwidth]{{./figures/plots/496/energy_perf_bar/energy_bar_normalized_0.0_0_0}.pdf}  
192 -% \vspace{-2.5em}  
193 -% \end{subfigure}%  
194 -% \begin{subfigure}[t]{0.45\textwidth}  
195 - \centering  
196 - \includegraphics[width=\columnwidth]{{./figures/plots/496/energy_perf_bar/performance_bar_normalized_0.0_0_0}.pdf}  
197 -% \vspace{-2.5em}  
198 -% \end{subfigure}%  
199 -\caption{\textbf{Variation of Performance with Inefficiency:} Performance  
200 -improves with increase in inefficiency budget, but the amount of improvement varies across benchmarks.  
201 -%\XXXnote{Is this description sufficient?}  
202 -%System always stays under the given inefficiency budget.  
203 -%Maximum inefficiency consumed by the system is bounded by the application and  
204 -%devices.  
205 -}  
206 -\label{ineff-perf}  
207 -\end{figure}  
208 -  
209 -\begin{figure*}[t]  
210 - \begin{subfigure}[t]{\textwidth}  
211 - \centering  
212 - \includegraphics[width=\columnwidth]{{./figures/plots/496/energy_perf_bar/energy_perf_bar_1.3}.pdf}  
213 - \end{subfigure}  
214 -\vspace{-0.5em}  
215 -\caption{\textbf{Energy-performance Trade-offs for Inefficiency Budget of 1.3,  
216 -Multiple Cluster Thresholds:} Performance degradation is always within the  
217 -cluster threshold. Allowing small degradation in performance reduces energy  
218 -consumption, which decreases further when tuning overhead is included.}  
219 -\label{energy-perf-trade-off}  
220 -\end{figure*}  
221 186
222 Figure~\ref{stable-regions} plots stable regions for benchmarks \textit{gcc} and 187 Figure~\ref{stable-regions} plots stable regions for benchmarks \textit{gcc} and
223 \textit{lbm} for multiple inefficiency budgets and cluster thresholds. With 188 \textit{lbm} for multiple inefficiency budgets and cluster thresholds. With
@@ -258,6 +223,39 @@ Therefore the number of transition per billion instructions decrease only slight @@ -258,6 +223,39 @@ Therefore the number of transition per billion instructions decrease only slight
258 with increase in cluster threshold and inefficiency budget for \textit{gobmk}. 223 with increase in cluster threshold and inefficiency budget for \textit{gobmk}.
259 Figure~\ref{box-lengths}(c) summarizes the distribution of stable region lengths observed 224 Figure~\ref{box-lengths}(c) summarizes the distribution of stable region lengths observed
260 across benchmarks for multiple cluster thresholds at inefficiency budget of 1.3. 225 across benchmarks for multiple cluster thresholds at inefficiency budget of 1.3.
  226 +\begin{figure}[t]
  227 +% \begin{subfigure}[t]{0.45\textwidth}
  228 +% \centering
  229 +% \includegraphics[width=\columnwidth]{{./figures/plots/496/energy_perf_bar/energy_bar_normalized_0.0_0_0}.pdf}
  230 +% \vspace{-2.5em}
  231 +% \end{subfigure}%
  232 +% \begin{subfigure}[t]{0.45\textwidth}
  233 + \centering
  234 + \includegraphics[width=\columnwidth]{{./figures/plots/496/energy_perf_bar/performance_bar_normalized_0.0_0_0}.pdf}
  235 +% \vspace{-2.5em}
  236 +% \end{subfigure}%
  237 +\caption{\textbf{Variation of Performance with Inefficiency:} Performance
  238 +improves with increase in inefficiency budget, but the amount of improvement varies across benchmarks.
  239 +%\XXXnote{Is this description sufficient?}
  240 +%System always stays under the given inefficiency budget.
  241 +%Maximum inefficiency consumed by the system is bounded by the application and
  242 +%devices.
  243 +}
  244 +\label{ineff-perf}
  245 +\end{figure}
  246 +
  247 +\begin{figure*}[t]
  248 + \begin{subfigure}[t]{\textwidth}
  249 + \centering
  250 + \includegraphics[width=\columnwidth]{{./figures/plots/496/energy_perf_bar/energy_perf_bar_1.3}.pdf}
  251 + \end{subfigure}
  252 +\vspace{-0.5em}
  253 +\caption{\textbf{Energy-performance Trade-offs for Inefficiency Budget of 1.3,
  254 +Multiple Cluster Thresholds:} Performance degradation is always within the
  255 +cluster threshold. Allowing small degradation in performance reduces energy
  256 +consumption, which decreases further when tuning overhead is included.}
  257 +\label{energy-perf-trade-off}
  258 +\end{figure*}
261 259
262 \subsection{Energy-Performance Trade-offs} 260 \subsection{Energy-Performance Trade-offs}
263 In this subsection we analyze the energy-performance trade-offs made by our 261 In this subsection we analyze the energy-performance trade-offs made by our