<!DOCTYPE html>
<!-- Generated by pkgdown: do not edit by hand --><html lang="en">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Benchmark timings for mkin • mkin</title>
<!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous">
<script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../../bootstrap-toc.css">
<script src="../../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous">
<!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../../pkgdown.css" rel="stylesheet">
<script src="../../pkgdown.js"></script><meta property="og:title" content="Benchmark timings for mkin">
<meta property="og:description" content="mkin">
<meta name="robots" content="noindex">
<!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]>
<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script>
<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script>
<![endif]-->
</head>
<body data-spy="scroll" data-target="#toc">
<div class="container template-article">
<header><div class="navbar navbar-default navbar-fixed-top" role="navigation">
<div class="container">
<div class="navbar-header">
<button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar" aria-expanded="false">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<span class="navbar-brand">
<a class="navbar-link" href="../../index.html">mkin</a>
<span class="version label label-danger" data-toggle="tooltip" data-placement="bottom" title="In-development version">0.9.50.3</span>
</span>
</div>
<div id="navbar" class="navbar-collapse collapse">
<ul class="nav navbar-nav">
<li>
<a href="../../reference/index.html">Functions and data</a>
</li>
<li class="dropdown">
<a href="#" class="dropdown-toggle" data-toggle="dropdown" role="button" aria-expanded="false">
Articles
<span class="caret"></span>
</a>
<ul class="dropdown-menu" role="menu">
<li>
<a href="../../articles/mkin.html">Introduction to mkin</a>
</li>
<li>
<a href="../../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a>
</li>
<li>
<a href="../../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a>
</li>
<li>
<a href="../../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a>
</li>
<li>
<a href="../../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a>
</li>
<li>
<a href="../../articles/twa.html">Calculation of time weighted average concentrations with mkin</a>
</li>
<li>
<a href="../../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a>
</li>
<li>
<a href="../../articles/web_only/benchmarks.html">Some benchmark timings</a>
</li>
</ul>
</li>
<li>
<a href="../../news/index.html">News</a>
</li>
</ul>
<ul class="nav navbar-nav navbar-right">
<li>
<a href="http://github.com/jranke/mkin/">
<span class="fab fa fab fa-github fa-lg"></span>
</a>
</li>
</ul>
</div>
<!--/.nav-collapse -->
</div>
<!--/.container -->
</div>
<!--/.navbar -->
</header><div class="row">
<div class="col-md-9 contents">
<div class="page-header toc-ignore">
<h1 data-toc-skip>Benchmark timings for mkin</h1>
<h4 class="author">Johannes Ranke</h4>
<h4 class="date">2020-05-27</h4>
<small class="dont-index">Source: <a href="http://github.com/jranke/mkin/blob/master/vignettes/web_only/benchmarks.rmd"><code>vignettes/web_only/benchmarks.rmd</code></a></small>
<div class="hidden name"><code>benchmarks.rmd</code></div>
</div>
<p>Each system is characterized by its CPU type, the operating system type and the mkin version. Currently only values for one system are available. A compiler was available, so if no analytical solution was available, compiled ODE models are used.</p>
<div id="test-cases" class="section level2">
<h2 class="hasAnchor">
<a href="#test-cases" class="anchor"></a>Test cases</h2>
<p>Parent only:</p>
<div class="sourceCode" id="cb1"><html><body><pre class="r"><span class="no">FOCUS_C</span> <span class="kw"><-</span> <span class="no">FOCUS_2006_C</span>
<span class="no">FOCUS_D</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/subset.html">subset</a></span>(<span class="no">FOCUS_2006_D</span>, <span class="no">value</span> <span class="kw">!=</span> <span class="fl">0</span>)
<span class="no">parent_datasets</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">FOCUS_C</span>, <span class="no">FOCUS_D</span>)
<span class="no">t1</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/c.html">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>, <span class="st">"HS"</span>), <span class="no">parent_datasets</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t2</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/c.html">c</a></span>(<span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span>, <span class="st">"HS"</span>), <span class="no">parent_datasets</span>,
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"tc"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]</pre></body></html></div>
<p>One metabolite:</p>
<div class="sourceCode" id="cb2"><html><body><pre class="r"><span class="no">SFO_SFO</span> <span class="kw"><-</span> <span class="fu"><a href="../../reference/mkinmod.html">mkinmod</a></span>(
<span class="kw">parent</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"m1"</span>),
<span class="kw">m1</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))
<span class="no">FOMC_SFO</span> <span class="kw"><-</span> <span class="fu"><a href="../../reference/mkinmod.html">mkinmod</a></span>(
<span class="kw">parent</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),
<span class="kw">m1</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))
<span class="no">DFOP_SFO</span> <span class="kw"><-</span> <span class="fu"><a href="../../reference/mkinmod.html">mkinmod</a></span>(
<span class="kw">parent</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"FOMC"</span>, <span class="st">"m1"</span>),
<span class="kw">m1</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>))
<span class="no">t3</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">SFO_SFO</span>, <span class="no">FOMC_SFO</span>, <span class="no">DFOP_SFO</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">FOCUS_D</span>)))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t4</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">SFO_SFO</span>, <span class="no">FOMC_SFO</span>, <span class="no">DFOP_SFO</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">FOCUS_D</span>),
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"tc"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t5</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">SFO_SFO</span>, <span class="no">FOMC_SFO</span>, <span class="no">DFOP_SFO</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">FOCUS_D</span>),
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"obs"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]</pre></body></html></div>
<p>Two metabolites, synthetic data:</p>
<div class="sourceCode" id="cb3"><html><body><pre class="r"><span class="no">m_synth_SFO_lin</span> <span class="kw"><-</span> <span class="fu"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="kw">parent</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M1"</span>),
<span class="kw">M1</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>, <span class="st">"M2"</span>),
<span class="kw">M2</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),
<span class="kw">use_of_ff</span> <span class="kw">=</span> <span class="st">"max"</span>, <span class="kw">quiet</span> <span class="kw">=</span> <span class="fl">TRUE</span>)
<span class="no">m_synth_DFOP_par</span> <span class="kw"><-</span> <span class="fu"><a href="../../reference/mkinmod.html">mkinmod</a></span>(<span class="kw">parent</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"DFOP"</span>, <span class="fu"><a href="https://rdrr.io/r/base/c.html">c</a></span>(<span class="st">"M1"</span>, <span class="st">"M2"</span>)),
<span class="kw">M1</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),
<span class="kw">M2</span> <span class="kw">=</span> <span class="fu"><a href="../../reference/mkinsub.html">mkinsub</a></span>(<span class="st">"SFO"</span>),
<span class="kw">use_of_ff</span> <span class="kw">=</span> <span class="st">"max"</span>, <span class="kw">quiet</span> <span class="kw">=</span> <span class="fl">TRUE</span>)
<span class="no">SFO_lin_a</span> <span class="kw"><-</span> <span class="no">synthetic_data_for_UBA_2014</span><span class="kw">[[</span><span class="fl">1</span>]]$<span class="no">data</span>
<span class="no">DFOP_par_c</span> <span class="kw"><-</span> <span class="no">synthetic_data_for_UBA_2014</span><span class="kw">[[</span><span class="fl">12</span>]]$<span class="no">data</span>
<span class="no">t6</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">m_synth_SFO_lin</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">SFO_lin_a</span>)))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t7</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">m_synth_DFOP_par</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">DFOP_par_c</span>)))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t8</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">m_synth_SFO_lin</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">SFO_lin_a</span>),
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"tc"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t9</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">m_synth_DFOP_par</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">DFOP_par_c</span>),
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"tc"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t10</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">m_synth_SFO_lin</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">SFO_lin_a</span>),
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"obs"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]
<span class="no">t11</span> <span class="kw"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html">system.time</a></span>(<span class="fu">mmkin_bench</span>(<span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">m_synth_DFOP_par</span>), <span class="fu"><a href="https://rdrr.io/r/base/list.html">list</a></span>(<span class="no">DFOP_par_c</span>),
<span class="kw">error_model</span> <span class="kw">=</span> <span class="st">"obs"</span>))<span class="kw">[[</span><span class="st">"elapsed"</span>]]</pre></body></html></div>
<div class="sourceCode" id="cb4"><html><body><pre class="r"><span class="no">mkin_benchmarks</span>[<span class="no">system_string</span>, <span class="fu"><a href="https://rdrr.io/r/base/paste.html">paste0</a></span>(<span class="st">"t"</span>, <span class="fl">1</span>:<span class="fl">11</span>)] <span class="kw"><-</span>
<span class="fu"><a href="https://rdrr.io/r/base/c.html">c</a></span>(<span class="no">t1</span>, <span class="no">t2</span>, <span class="no">t3</span>, <span class="no">t4</span>, <span class="no">t5</span>, <span class="no">t6</span>, <span class="no">t7</span>, <span class="no">t8</span>, <span class="no">t9</span>, <span class="no">t10</span>, <span class="no">t11</span>)
<span class="fu"><a href="https://rdrr.io/r/base/save.html">save</a></span>(<span class="no">mkin_benchmarks</span>, <span class="kw">file</span> <span class="kw">=</span> <span class="st">"~/git/mkin/vignettes/web_only/mkin_benchmarks.rda"</span>)</pre></body></html></div>
</div>
<div id="results" class="section level2">
<h2 class="hasAnchor">
<a href="#results" class="anchor"></a>Results</h2>
<p>Currently, we only have benchmark information on one system, therefore only the mkin version is shown with the results below. Timings are in seconds, shorter is better. All results were obtained by serial, i.e. not using multiple computing cores.</p>
<p>Benchmarks for all available error models are shown.</p>
<div id="parent-only" class="section level3">
<h3 class="hasAnchor">
<a href="#parent-only" class="anchor"></a>Parent only</h3>
<p>Constant variance (t1) and two-component error model (t2) for four models fitted to two datasets, i.e. eight fits for each test.</p>
<table class="table">
<thead><tr class="header">
<th align="left">mkin version</th>
<th align="right">t1 [s]</th>
<th align="right">t2 [s]</th>
</tr></thead>
<tbody>
<tr class="odd">
<td align="left">0.9.48.1</td>
<td align="right">3.610</td>
<td align="right">11.019</td>
</tr>
<tr class="even">
<td align="left">0.9.49.1</td>
<td align="right">8.184</td>
<td align="right">22.889</td>
</tr>
<tr class="odd">
<td align="left">0.9.49.2</td>
<td align="right">7.064</td>
<td align="right">12.558</td>
</tr>
<tr class="even">
<td align="left">0.9.49.3</td>
<td align="right">7.296</td>
<td align="right">21.239</td>
</tr>
<tr class="odd">
<td align="left">0.9.49.4</td>
<td align="right">5.936</td>
<td align="right">20.545</td>
</tr>
<tr class="even">
<td align="left">0.9.50.2</td>
<td align="right">1.714</td>
<td align="right">3.971</td>
</tr>
<tr class="odd">
<td align="left">0.9.50.3</td>
<td align="right">1.752</td>
<td align="right">3.728</td>
</tr>
</tbody>
</table>
</div>
<div id="one-metabolite" class="section level3">
<h3 class="hasAnchor">
<a href="#one-metabolite" class="anchor"></a>One metabolite</h3>
<p>Constant variance (t3), two-component error model (t4), and variance by variable (t5) for three models fitted to one dataset, i.e. three fits for each test.</p>
<table class="table">
<thead><tr class="header">
<th align="left">mkin version</th>
<th align="right">t3 [s]</th>
<th align="right">t4 [s]</th>
<th align="right">t5 [s]</th>
</tr></thead>
<tbody>
<tr class="odd">
<td align="left">0.9.48.1</td>
<td align="right">3.764</td>
<td align="right">14.347</td>
<td align="right">9.495</td>
</tr>
<tr class="even">
<td align="left">0.9.49.1</td>
<td align="right">4.649</td>
<td align="right">13.789</td>
<td align="right">6.395</td>
</tr>
<tr class="odd">
<td align="left">0.9.49.2</td>
<td align="right">4.786</td>
<td align="right">8.461</td>
<td align="right">5.675</td>
</tr>
<tr class="even">
<td align="left">0.9.49.3</td>
<td align="right">4.510</td>
<td align="right">13.805</td>
<td align="right">7.386</td>
</tr>
<tr class="odd">
<td align="left">0.9.49.4</td>
<td align="right">4.446</td>
<td align="right">15.335</td>
<td align="right">6.002</td>
</tr>
<tr class="even">
<td align="left">0.9.50.2</td>
<td align="right">1.402</td>
<td align="right">6.174</td>
<td align="right">2.764</td>
</tr>
<tr class="odd">
<td align="left">0.9.50.3</td>
<td align="right">1.389</td>
<td align="right">6.579</td>
<td align="right">2.740</td>
</tr>
</tbody>
</table>
</div>
<div id="two-metabolites" class="section level3">
<h3 class="hasAnchor">
<a href="#two-metabolites" class="anchor"></a>Two metabolites</h3>
<p>Constant variance (t6 and t7), two-component error model (t8 and t9), and variance by variable (t10 and t11) for one model fitted to one dataset, i.e. one fit for each test.</p>
<table class="table">
<thead><tr class="header">
<th align="left">mkin version</th>
<th align="right">t6 [s]</th>
<th align="right">t7 [s]</th>
<th align="right">t8 [s]</th>
<th align="right">t9 [s]</th>
<th align="right">t10 [s]</th>
<th align="right">t11 [s]</th>
</tr></thead>
<tbody>
<tr class="odd">
<td align="left">0.9.48.1</td>
<td align="right">2.623</td>
<td align="right">4.587</td>
<td align="right">7.525</td>
<td align="right">16.621</td>
<td align="right">8.576</td>
<td align="right">31.267</td>
</tr>
<tr class="even">
<td align="left">0.9.49.1</td>
<td align="right">2.542</td>
<td align="right">4.128</td>
<td align="right">4.632</td>
<td align="right">8.171</td>
<td align="right">3.676</td>
<td align="right">5.636</td>
</tr>
<tr class="odd">
<td align="left">0.9.49.2</td>
<td align="right">2.723</td>
<td align="right">4.478</td>
<td align="right">4.862</td>
<td align="right">7.618</td>
<td align="right">3.579</td>
<td align="right">5.574</td>
</tr>
<tr class="even">
<td align="left">0.9.49.3</td>
<td align="right">2.643</td>
<td align="right">4.374</td>
<td align="right">7.020</td>
<td align="right">11.124</td>
<td align="right">5.388</td>
<td align="right">7.365</td>
</tr>
<tr class="odd">
<td align="left">0.9.49.4</td>
<td align="right">2.635</td>
<td align="right">4.259</td>
<td align="right">4.737</td>
<td align="right">7.763</td>
<td align="right">3.427</td>
<td align="right">5.626</td>
</tr>
<tr class="even">
<td align="left">0.9.50.2</td>
<td align="right">0.777</td>
<td align="right">1.236</td>
<td align="right">1.332</td>
<td align="right">2.872</td>
<td align="right">2.069</td>
<td align="right">2.987</td>
</tr>
<tr class="odd">
<td align="left">0.9.50.3</td>
<td align="right">0.760</td>
<td align="right">1.252</td>
<td align="right">1.457</td>
<td align="right">4.201</td>
<td align="right">2.007</td>
<td align="right">2.979</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
<div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar">
<nav id="toc" data-toggle="toc"><h2 data-toc-skip>Contents</h2>
</nav>
</div>
</div>
<footer><div class="copyright">
<p>Developed by Johannes Ranke.</p>
</div>
<div class="pkgdown">
<p>Site built with <a href="https://pkgdown.r-lib.org/">pkgdown</a> 1.5.1.</p>
</div>
</footer>
</div>
</body>
</html>
