<table><caption>Table 23: Bisection of problem 2D with problem: 13, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S,ms)</th><th>nb.iter</th><th>time.per iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>33.14e-6</td><td>2.741e-3</td><td>2.774e-3</td><td>0.003</td><td>59</td><td>46.46e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>715.2e-3</td><td>2.954e-3</td><td>718.1e-3</td><td>0.718</td><td>41</td><td>72.05e-6</td><td>infeasible</td><td>107.8</td><td>25888.0</td><td>69.49</td></tr><tr><td>MinVariance</td><td>718.0e-3</td><td>3.079e-3</td><td>721.1e-3</td><td>0.721</td><td>41</td><td>75.10e-6</td><td>infeasible</td><td>112.3</td><td>25994.1</td><td>69.49</td></tr><tr><td>BSplines</td><td>708.7e-3</td><td>2.879e-3</td><td>711.6e-3</td><td>0.712</td><td>41</td><td>70.22e-6</td><td>infeasible</td><td>105.0</td><td>25651.4</td><td>69.49</td></tr><tr><td>MinNorm</td><td>717.4e-3</td><td>3.403e-3</td><td>720.8e-3</td><td>0.721</td><td>41</td><td>83.00e-6</td><td>infeasible</td><td>124.2</td><td>25984.8</td><td>69.49</td></tr><tr><td>MinVolume</td><td>713.5e-3</td><td>3.582e-3</td><td>717.1e-3</td><td>0.717</td><td>41</td><td>87.37e-6</td><td>infeasible</td><td>130.7</td><td>25852.2</td><td>69.49</td></tr><tr><td>ApproxMinVolume</td><td>714.9e-3</td><td>3.151e-3</td><td>718.0e-3</td><td>0.718</td><td>41</td><td>76.85e-6</td><td>infeasible</td><td>115.0</td><td>25884.8</td><td>69.49</td></tr><tr><td>Recursive</td><td>702.8e-3</td><td>3.903e-3</td><td>706.7e-3</td><td>0.707</td><td>41</td><td>95.19e-6</td><td>infeasible</td><td>142.4</td><td>25477.2</td><td>69.49</td></tr><tr><td>Recursive2</td><td>707.4e-3</td><td>3.192e-3</td><td>710.6e-3</td><td>0.711</td><td>41</td><td>77.85e-6</td><td>infeasible</td><td>116.5</td><td>25614.9</td><td>69.49</td></tr><tr><td>Interval</td><td>34.09e-6</td><td>77.77e-3</td><td>77.80e-3</td><td>0.078</td><td>8983</td><td>8.657e-6</td><td>45.742</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.434</td><td>48.36e-3</td><td>1.482</td><td>1.482</td><td>6787</td><td>7.125e-6</td><td>45.738</td><td>62.19</td><td>1905.3</td><td>75.55</td></tr><tr><td>MinVariance</td><td>1.537</td><td>61.76e-3</td><td>1.599</td><td>1.599</td><td>7429</td><td>8.313e-6</td><td>45.742</td><td>79.41</td><td>2054.8</td><td>82.70</td></tr><tr><td>BSplines</td><td>1.468</td><td>84.18e-3</td><td>1.552</td><td>1.552</td><td>12745</td><td>6.605e-6</td><td>45.794</td><td>108.2</td><td>1994.8</td><td>141.9</td></tr><tr><td>MinNorm</td><td>1.531</td><td>51.59e-3</td><td>1.583</td><td>1.583</td><td>7075</td><td>7.292e-6</td><td>45.740</td><td>66.34</td><td>2034.5</td><td>78.76</td></tr><tr><td>MinVolume</td><td>1.464</td><td>55.01e-3</td><td>1.519</td><td>1.519</td><td>8017</td><td>6.861e-6</td><td>45.746</td><td>70.73</td><td>1953.0</td><td>89.25</td></tr><tr><td>ApproxMinVolume</td><td>1.474</td><td>56.34e-3</td><td>1.531</td><td>1.531</td><td>8021</td><td>7.024e-6</td><td>45.746</td><td>72.45</td><td>1967.4</td><td>89.29</td></tr><tr><td>Recursive</td><td>1.470</td><td>48.74e-3</td><td>1.519</td><td>1.519</td><td>6787</td><td>7.182e-6</td><td>45.738</td><td>62.68</td><td>1952.1</td><td>75.55</td></tr><tr><td>Recursive2</td><td>1.469</td><td>50.85e-3</td><td>1.520</td><td>1.520</td><td>6867</td><td>7.404e-6</td><td>45.738</td><td>65.38</td><td>1953.4</td><td>76.44</td></tr><tr><td>Interval</td><td>29.09e-6</td><td>40.04</td><td>40.04</td><td>40.041</td><td>4047819</td><td>9.892e-6</td><td>35.418</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.04</td><td>20.32</td><td>31.36</td><td>31.359</td><td>884087</td><td>22.98e-6</td><td>35.363</td><td>50.74</td><td>78.32</td><td>21.84</td></tr><tr><td>MinVariance</td><td>14.35</td><td>25.43</td><td>39.78</td><td>39.780</td><td>991345</td><td>25.65e-6</td><td>35.368</td><td>63.51</td><td>99.35</td><td>24.49</td></tr><tr><td>BSplines</td><td>11.76</td><td>71.92</td><td>83.68</td><td>01:23</td><td>3122817</td><td>23.03e-6</td><td>35.424</td><td>179.6</td><td>209.0</td><td>77.15</td></tr><tr><td>MinNorm</td><td>14.40</td><td>23.50</td><td>37.90</td><td>37.897</td><td>940015</td><td>25.00e-6</td><td>35.365</td><td>58.69</td><td>94.65</td><td>23.22</td></tr><tr><td>MinVolume</td><td>12.60</td><td>27.34</td><td>39.94</td><td>39.940</td><td>1101689</td><td>24.82e-6</td><td>35.372</td><td>68.29</td><td>99.75</td><td>27.22</td></tr><tr><td>ApproxMinVolume</td><td>12.32</td><td>26.83</td><td>39.15</td><td>39.154</td><td>1104841</td><td>24.28e-6</td><td>35.372</td><td>67.01</td><td>97.79</td><td>27.29</td></tr><tr><td>Recursive</td><td>14.75</td><td>21.96</td><td>36.71</td><td>36.707</td><td>884655</td><td>24.82e-6</td><td>35.363</td><td>54.84</td><td>91.67</td><td>21.86</td></tr><tr><td>Recursive2</td><td>15.44</td><td>21.88</td><td>37.33</td><td>37.326</td><td>888681</td><td>24.62e-6</td><td>35.363</td><td>54.65</td><td>93.22</td><td>21.95</td></tr><tr><td>Interval</td><td>28.00e-6</td><td>1246720</td><td>1246720</td><td>14-10:18:40</td><td>110942776513</td><td>11.24e-6</td><td>35.082</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>71.59</td><td>844226</td><td>844226</td><td>9-18:30:26</td><td>23687231457</td><td>35.64e-6</td><td>34.945</td><td>67.72</td><td>67.72</td><td>21.35</td></tr><tr><td>MinVariance</td><td>75.31</td><td>948177</td><td>948177</td><td>10-23:22:57</td><td>2658599413</td><td>35.77e-6</td><td>34.953</td><td>76.05</td><td>76.05</td><td>23.89</td></tr><tr><td>BSplines</td><td>71.83</td><td>2605510</td><td>2605510</td><td>30-03:45:10</td><td>79706071050</td><td>32.69e-6</td><td>35.045</td><td>209.0</td><td>209.0</td><td>71.84</td></tr><tr><td>MinNorm</td><td>74.79</td><td>902753</td><td>902754</td><td>10-10:45:54</td><td>25193676565</td><td>35.83e-6</td><td>34.949</td><td>72.41</td><td>72.41</td><td>22.71</td></tr><tr><td>MinVolume</td><td>73.43</td><td>1037130</td><td>1037130</td><td>12-00:05:30</td><td>29414193493</td><td>35.26e-6</td><td>34.961</td><td>83.19</td><td>83.19</td><td>26.51</td></tr><tr><td>ApproxMinVolume</td><td>73.37</td><td>1042450</td><td>1042450</td><td>12-01:34:10</td><td>29491066469</td><td>35.35e-6</td><td>34.961</td><td>83.62</td><td>83.62</td><td>26.58</td></tr><tr><td>Recursive</td><td>72.59</td><td>853486</td><td>853486</td><td>9-21:04:46</td><td>23739565473</td><td>35.95e-6</td><td>34.945</td><td>68.46</td><td>68.46</td><td>21.40</td></tr><tr><td>Recursive2</td><td>72.35</td><td>855328</td><td>855328</td><td>9-21:35:28</td><td>23834461967</td><td>35.89e-6</td><td>34.945</td><td>68.61</td><td>68.61</td><td>21.48</td></tr><tr><td>Interval</td><td>32.19e-6</td><td>3.798e-3</td><td>3.830e-3</td><td>0.004</td><td>59</td><td>64.37e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>765.8e-3</td><td>6.239e-3</td><td>772.0e-3</td><td>0.772</td><td>41</td><td>152.2e-6</td><td>infeasible</td><td>164.3</td><td>20156.7</td><td>69.49</td></tr><tr><td>MinVariance</td><td>769.2e-3</td><td>7.156e-3</td><td>776.4e-3</td><td>0.776</td><td>41</td><td>174.5e-6</td><td>infeasible</td><td>188.4</td><td>20269.5</td><td>69.49</td></tr><tr><td>BSplines</td><td>766.2e-3</td><td>3.621e-3</td><td>769.9e-3</td><td>0.770</td><td>41</td><td>88.31e-6</td><td>infeasible</td><td>95.34</td><td>20100.1</td><td>69.49</td></tr><tr><td>MinNorm</td><td>765.4e-3</td><td>9.018e-3</td><td>774.4e-3</td><td>0.774</td><td>41</td><td>220.0e-6</td><td>infeasible</td><td>237.4</td><td>20218.5</td><td>69.49</td></tr><tr><td>MinVolume</td><td>764.8e-3</td><td>4.676e-3</td><td>769.5e-3</td><td>0.769</td><td>41</td><td>114.0e-6</td><td>infeasible</td><td>123.1</td><td>20089.4</td><td>69.49</td></tr><tr><td>ApproxMinVolume</td><td>765.9e-3</td><td>4.660e-3</td><td>770.6e-3</td><td>0.771</td><td>41</td><td>113.7e-6</td><td>infeasible</td><td>122.7</td><td>20119.1</td><td>69.49</td></tr><tr><td>Recursive</td><td>765.8e-3</td><td>6.749e-3</td><td>772.6e-3</td><td>0.773</td><td>41</td><td>164.6e-6</td><td>infeasible</td><td>177.7</td><td>20170.6</td><td>69.49</td></tr><tr><td>Recursive2</td><td>750.1e-3</td><td>5.040e-3</td><td>755.2e-3</td><td>0.755</td><td>41</td><td>122.9e-6</td><td>infeasible</td><td>132.7</td><td>19715.9</td><td>69.49</td></tr><tr><td>Interval</td><td>29.09e-6</td><td>35.99e-3</td><td>36.02e-3</td><td>0.036</td><td>4027</td><td>8.938e-6</td><td>46.854</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.452</td><td>23.00e-3</td><td>1.475</td><td>1.475</td><td>2903</td><td>7.924e-6</td><td>46.813</td><td>63.91</td><td>4094.0</td><td>72.09</td></tr><tr><td>MinVariance</td><td>1.536</td><td>24.88e-3</td><td>1.561</td><td>1.561</td><td>3149</td><td>7.901e-6</td><td>46.849</td><td>69.13</td><td>4334.4</td><td>78.20</td></tr><tr><td>BSplines</td><td>1.438</td><td>34.33e-3</td><td>1.472</td><td>1.472</td><td>4851</td><td>7.076e-6</td><td>47.265</td><td>95.38</td><td>4086.5</td><td>120.5</td></tr><tr><td>MinNorm</td><td>1.526</td><td>23.96e-3</td><td>1.550</td><td>1.550</td><td>3033</td><td>7.898e-6</td><td>46.833</td><td>66.56</td><td>4303.4</td><td>75.32</td></tr><tr><td>MinVolume</td><td>1.489</td><td>25.37e-3</td><td>1.514</td><td>1.514</td><td>3307</td><td>7.673e-6</td><td>46.883</td><td>70.50</td><td>4203.5</td><td>82.12</td></tr><tr><td>ApproxMinVolume</td><td>1.473</td><td>26.79e-3</td><td>1.500</td><td>1.500</td><td>3307</td><td>8.102e-6</td><td>46.884</td><td>74.44</td><td>4164.8</td><td>82.12</td></tr><tr><td>Recursive</td><td>1.479</td><td>23.12e-3</td><td>1.503</td><td>1.503</td><td>2903</td><td>7.964e-6</td><td>46.813</td><td>64.23</td><td>4171.2</td><td>72.09</td></tr><tr><td>Recursive2</td><td>1.482</td><td>23.73e-3</td><td>1.506</td><td>1.506</td><td>2971</td><td>7.986e-6</td><td>46.813</td><td>65.92</td><td>4179.6</td><td>73.78</td></tr><tr><td>Interval</td><td>35.05e-6</td><td>12.89</td><td>12.89</td><td>12.890</td><td>1281177</td><td>10.06e-6</td><td>36.786</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.20</td><td>6.961</td><td>18.16</td><td>18.163</td><td>3102557</td><td>22.44e-6</td><td>36.315</td><td>54.00</td><td>140.9</td><td>24.22</td></tr><tr><td>MinVariance</td><td>14.69</td><td>9.455</td><td>24.14</td><td>24.142</td><td>343109</td><td>27.56e-6</td><td>36.354</td><td>74.35</td><td>187.3</td><td>26.78</td></tr><tr><td>BSplines</td><td>11.78</td><td>21.69</td><td>33.47</td><td>33.470</td><td>896567</td><td>24.20e-6</td><td>36.812</td><td>168.3</td><td>259.7</td><td>69.98</td></tr><tr><td>MinNorm</td><td>14.49</td><td>8.509</td><td>22.99</td><td>22.905</td><td>328021</td><td>25.94e-6</td><td>36.337</td><td>66.01</td><td>178.4</td><td>25.60</td></tr><tr><td>MinVolume</td><td>12.71</td><td>9.624</td><td>22.33</td><td>22.331</td><td>376629</td><td>25.55e-6</td><td>36.392</td><td>74.66</td><td>173.2</td><td>29.40</td></tr><tr><td>ApproxMinVolume</td><td>12.30</td><td>9.460</td><td>21.76</td><td>21.764</td><td>377447</td><td>25.06e-6</td><td>36.392</td><td>73.39</td><td>168.8</td><td>29.46</td></tr><tr><td>Recursive</td><td>14.89</td><td>7.417</td><td>22.31</td><td>22.307</td><td>310731</td><td>23.87e-6</td><td>36.315</td><td>57.54</td><td>173.1</td><td>24.25</td></tr><tr><td>Recursive2</td><td>15.57</td><td>8.182</td><td>23.76</td><td>23.756</td><td>315263</td><td>25.95e-6</td><td>36.315</td><td>63.48</td><td>184.3</td><td>24.61</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>17303</td><td>17303</td><td>04:48:23</td><td>1503905297</td><td>11.51e-6</td><td>37.512</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.08</td><td>19581</td><td>19653</td><td>05:27:33</td><td>494270911</td><td>39.62e-6</td><td>36.421</td><td>113.2</td><td>113.6</td><td>32.87</td></tr><tr><td>MinVariance</td><td>75.25</td><td>21644</td><td>21719</td><td>06:01:59</td><td>538540131</td><td>40.19e-6</td><td>36.485</td><td>125.1</td><td>125.5</td><td>35.81</td></tr><tr><td>BSplines</td><td>72.41</td><td>44562</td><td>44634</td><td>12:23:54</td><td>1203225521</td><td>37.04e-6</td><td>37.240</td><td>257.5</td><td>258.0</td><td>80.01</td></tr><tr><td>MinNorm</td><td>74.93</td><td>20680</td><td>20755</td><td>05:45:55</td><td>518072165</td><td>39.92e-6</td><td>36.456</td><td>119.5</td><td>119.9</td><td>34.45</td></tr><tr><td>MinVolume</td><td>73.29</td><td>23076</td><td>23149</td><td>06:25:49</td><td>582455005</td><td>39.62e-6</td><td>36.545</td><td>133.4</td><td>133.8</td><td>38.73</td></tr><tr><td>ApproxMinVolume</td><td>73.53</td><td>23429</td><td>23502</td><td>06:31:42</td><td>583598409</td><td>40.15e-6</td><td>36.547</td><td>135.4</td><td>135.8</td><td>38.81</td></tr><tr><td>Recursive</td><td>72.78</td><td>20300</td><td>20372</td><td>05:39:32</td><td>495554445</td><td>40.96e-6</td><td>36.421</td><td>117.3</td><td>117.7</td><td>32.95</td></tr><tr><td>Recursive2</td><td>72.18</td><td>20136</td><td>20208</td><td>05:36:48</td><td>508249521</td><td>39.62e-6</td><td>36.421</td><td>116.4</td><td>116.8</td><td>33.80</td></tr></tbody></table>
<table><caption>Table 24: Bissection of problem 2D with problem: 14, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S:ms)</th><th>nb.iter</th><th>time_per_iter</th><th>criteria</th><th>comput.time (%)</th><th>total_time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>30.99e-6</td><td>14.31e-3</td><td>14.34e-3</td><td>0.014</td><td>1759</td><td>8.135e-6</td><td>83.601</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>832.2e-3</td><td>6.817e-3</td><td>839.0e-3</td><td>0.839</td><td>935</td><td>7.291e-6</td><td>83.541</td><td>47.64</td><td>5850.7</td><td>53.16</td></tr><tr><td>MinVariance</td><td>915.7e-3</td><td>6.397e-3</td><td>922.2e-3</td><td>0.922</td><td>979</td><td>6.534e-6</td><td>83.543</td><td>44.70</td><td>6430.6</td><td>55.66</td></tr><tr><td>BSplines</td><td>844.8e-3</td><td>10.39e-3</td><td>855.2e-3</td><td>0.855</td><td>2145</td><td>4.845e-6</td><td>83.571</td><td>72.63</td><td>5963.9</td><td>121.9</td></tr><tr><td>MinNorm</td><td>901.2e-3</td><td>5.921e-3</td><td>907.2e-3</td><td>0.907</td><td>965</td><td>6.136e-6</td><td>83.542</td><td>41.38</td><td>6326.1</td><td>54.86</td></tr><tr><td>MinVolume</td><td>878.0e-3</td><td>6.041e-3</td><td>884.1e-3</td><td>0.884</td><td>1035</td><td>5.837e-6</td><td>83.546</td><td>42.22</td><td>6165.0</td><td>58.84</td></tr><tr><td>ApproxMinVolume</td><td>876.3e-3</td><td>6.514e-3</td><td>882.9e-3</td><td>0.883</td><td>1035</td><td>6.294e-6</td><td>83.546</td><td>45.52</td><td>6156.7</td><td>58.84</td></tr><tr><td>Recursive</td><td>845.7e-3</td><td>6.093e-3</td><td>851.8e-3</td><td>0.852</td><td>1053</td><td>5.786e-6</td><td>83.541</td><td>42.58</td><td>5940.1</td><td>59.86</td></tr><tr><td>Recursive2</td><td>831.7e-3</td><td>6.949e-3</td><td>838.7e-3</td><td>0.839</td><td>989</td><td>7.026e-6</td><td>83.541</td><td>48.56</td><td>5848.4</td><td>56.23</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>3.286</td><td>3.286</td><td>3.286</td><td>397169</td><td>8.275e-6</td><td>86.025</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.397</td><td>1.078</td><td>4.475</td><td>4.475</td><td>92125</td><td>11.70e-6</td><td>85.877</td><td>32.80</td><td>136.2</td><td>23.20</td></tr><tr><td>MinVariance</td><td>4.668</td><td>1.333</td><td>6.001</td><td>6.001</td><td>105721</td><td>12.61e-6</td><td>85.881</td><td>40.56</td><td>182.6</td><td>26.62</td></tr><tr><td>BSplines</td><td>3.552</td><td>4.413</td><td>7.965</td><td>7.965</td><td>373795</td><td>11.81e-6</td><td>85.976</td><td>134.3</td><td>242.3</td><td>94.11</td></tr><tr><td>MinNorm</td><td>4.511</td><td>1.229</td><td>5.740</td><td>5.740</td><td>99959</td><td>12.30e-6</td><td>85.879</td><td>37.40</td><td>174.7</td><td>25.17</td></tr><tr><td>MinVolume</td><td>3.971</td><td>1.445</td><td>5.416</td><td>5.416</td><td>119887</td><td>12.06e-6</td><td>85.884</td><td>43.98</td><td>164.8</td><td>30.19</td></tr><tr><td>ApproxMinVolume</td><td>3.936</td><td>1.440</td><td>5.376</td><td>5.376</td><td>120115</td><td>11.99e-6</td><td>85.884</td><td>43.81</td><td>163.6</td><td>30.24</td></tr><tr><td>Recursive</td><td>3.855</td><td>1.167</td><td>5.022</td><td>5.022</td><td>98935</td><td>11.80e-6</td><td>85.877</td><td>35.51</td><td>152.8</td><td>24.91</td></tr><tr><td>Recursive2</td><td>4.379</td><td>1.125</td><td>5.504</td><td>5.504</td><td>93995</td><td>11.97e-6</td><td>85.877</td><td>34.25</td><td>167.5</td><td>23.67</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>27.89e-6</td><td>2541</td><td>2541</td><td>42.21</td><td>279946417</td><td>9.080e-6</td><td>100.93</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.44</td><td>477.8</td><td>489.2</td><td>08:09</td><td>16767497</td><td>28.50e-6</td><td>100.75</td><td>18.80</td><td>19.25</td><td>5.990</td></tr><tr><td>MinVariance</td><td>15.19</td><td>645.1</td><td>660.3</td><td>11:00</td><td>20744099</td><td>31.10e-6</td><td>100.77</td><td>25.38</td><td>25.98</td><td>7.410</td></tr><tr><td>BSplines</td><td>11.95</td><td>3587</td><td>3599</td><td>59:59</td><td>122967905</td><td>29.17e-6</td><td>100.89</td><td>141.1</td><td>141.6</td><td>43.93</td></tr><tr><td>MinNorm</td><td>14.73</td><td>582.3</td><td>597.0</td><td>09:56</td><td>18850797</td><td>30.89e-6</td><td>100.76</td><td>22.91</td><td>23.49</td><td>6.734</td></tr><tr><td>MinVolume</td><td>13.27</td><td>761.3</td><td>774.6</td><td>12:54</td><td>25314221</td><td>30.08e-6</td><td>100.78</td><td>29.95</td><td>30.47</td><td>9.043</td></tr><tr><td>ApproxMinVolume</td><td>13.05</td><td>747.1</td><td>760.2</td><td>12:40</td><td>25553787</td><td>29.24e-6</td><td>100.78</td><td>29.39</td><td>29.91</td><td>9.128</td></tr><tr><td>Recursive</td><td>16.01</td><td>560.2</td><td>576.2</td><td>09:36</td><td>18771931</td><td>29.84e-6</td><td>100.75</td><td>22.04</td><td>22.67</td><td>6.706</td></tr><tr><td>Recursive2</td><td>15.69</td><td>597.5</td><td>613.2</td><td>10:13</td><td>19772333</td><td>30.22e-6</td><td>100.75</td><td>23.51</td><td>24.12</td><td>7.063</td></tr><tr><td>Interval</td><td>23.00e-6</td><td>3716460</td><td>3716460</td><td>43:00:21:00</td><td>324503133857</td><td>11.45e-6</td><td>116.70</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.90</td><td>631852</td><td>631852</td><td>7:07:30:52</td><td>12333110815</td><td>51.23e-6</td><td>116.43</td><td>17.00</td><td>17.00</td><td>3.801</td></tr><tr><td>MinVariance</td><td>78.00</td><td>834793</td><td>834793</td><td>9:15:53:13</td><td>16252345089</td><td>51.36e-6</td><td>116.44</td><td>22.46</td><td>22.46</td><td>5.008</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>73.15</td><td>in progress</td><td>> 60 days</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Bernstein</td><td>77.34</td><td>734696</td><td>734697</td><td>8-12:04:57</td><td>14321816973</td><td>51.30e-6</td><td>116.44</td><td>19.77</td><td>19.77</td><td>4.413</td></tr><tr><td>MinNorm</td><td>75.92</td><td>1041910</td><td>1041910</td><td>12:01:25:10</td><td>20785240404</td><td>50.13e-6</td><td>116.46</td><td>28.04</td><td>28.04</td><td>6.405</td></tr><tr><td>MinVolume</td><td>75.27</td><td>1065830</td><td>1065830</td><td>12:08:03:50</td><td>20880171405</td><td>51.05e-6</td><td>116.46</td><td>28.68</td><td>28.68</td><td>6.435</td></tr><tr><td>ApproxMinVolume</td><td>73.66</td><td>743311</td><td>743311</td><td>8-14:28:31</td><td>14505373005</td><td>51.24e-6</td><td>116.43</td><td>20.00</td><td>20.00</td><td>4.470</td></tr><tr><td>Recursive</td><td>74.40</td><td>701939</td><td>701939</td><td>8-02:58:59</td><td>13732733529</td><td>51.11e-6</td><td>116.43</td><td>18.89</td><td>18.89</td><td>4.232</td></tr><tr><td>Recursive2</td><td>32.90e-6</td><td>5.397e-3</td><td>5.430e-3</td><td>0.005</td><td>367</td><td>14.71e-6</td><td>84.553</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>876.0e-3</td><td>5.802e-3</td><td>881.8e-3</td><td>0.882</td><td>225</td><td>25.79e-6</td><td>84.078</td><td>107.5</td><td>16240.3</td><td>61.31</td></tr><tr><td>MinVariance</td><td>931.9e-3</td><td>5.433e-3</td><td>937.3e-3</td><td>0.937</td><td>253</td><td>21.47e-6</td><td>84.097</td><td>100.7</td><td>17262.1</td><td>68.94</td></tr><tr><td>BSplines</td><td>876.0e-3</td><td>5.521e-3</td><td>881.6e-3</td><td>0.882</td><td>609</td><td>9.066e-6</td><td>84.792</td><td>102.3</td><td>16235.1</td><td>165.9</td></tr><tr><td>MinNorm</td><td>925.6e-3</td><td>5.334e-3</td><td>930.9e-3</td><td>0.931</td><td>227</td><td>23.50e-6</td><td>84.088</td><td>98.83</td><td>17144.5</td><td>61.85</td></tr><tr><td>MinVolume</td><td>894.8e-3</td><td>5.504e-3</td><td>900.3e-3</td><td>0.900</td><td>287</td><td>19.18e-6</td><td>84.115</td><td>102.0</td><td>16579.9</td><td>78.20</td></tr><tr><td>ApproxMinVolume</td><td>901.0e-3</td><td>5.974e-3</td><td>907.0e-3</td><td>0.907</td><td>287</td><td>20.81e-6</td><td>84.115</td><td>110.7</td><td>16703.5</td><td>78.20</td></tr><tr><td>Recursive</td><td>870.5e-3</td><td>7.621e-3</td><td>878.2e-3</td><td>0.878</td><td>317</td><td>24.04e-6</td><td>84.078</td><td>141.2</td><td>16172.8</td><td>86.38</td></tr><tr><td>Recursive2</td><td>871.7e-3</td><td>8.919e-3</td><td>880.6e-3</td><td>0.881</td><td>273</td><td>32.67e-6</td><td>84.078</td><td>165.3</td><td>16218.1</td><td>74.39</td></tr><tr><td>Interval</td><td>24.08e-6</td><td>629.3e-3</td><td>629.3e-3</td><td>0.629</td><td>76245</td><td>8.253e-6</td><td>87.774</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.433</td><td>250.0e-3</td><td>3.683</td><td>3.683</td><td>20815</td><td>12.01e-6</td><td>86.563</td><td>39.73</td><td>585.3</td><td>27.30</td></tr><tr><td>MinVariance</td><td>4.722</td><td>316.7e-3</td><td>5.038</td><td>5.038</td><td>24535</td><td>12.91e-6</td><td>86.773</td><td>50.33</td><td>800.7</td><td>32.18</td></tr><tr><td>BSplines</td><td>3.593</td><td>1.033</td><td>4.626</td><td>4.626</td><td>83857</td><td>12.31e-6</td><td>87.383</td><td>164.1</td><td>735.1</td><td>110.0</td></tr><tr><td>MinNorm</td><td>4.538</td><td>298.7e-3</td><td>4.837</td><td>4.837</td><td>22065</td><td>13.01e-6</td><td>86.578</td><td>47.47</td><td>768.7</td><td>30.12</td></tr><tr><td>MinVolume</td><td>3.966</td><td>323.5e-3</td><td>4.289</td><td>4.289</td><td>27045</td><td>11.96e-6</td><td>86.800</td><td>51.41</td><td>681.6</td><td>35.47</td></tr><tr><td>ApproxMinVolume</td><td>3.992</td><td>332.8e-3</td><td>4.265</td><td>4.265</td><td>27117</td><td>12.27e-6</td><td>86.801</td><td>52.89</td><td>677.7</td><td>35.57</td></tr><tr><td>Recursive</td><td>3.855</td><td>312.7e-3</td><td>4.168</td><td>4.168</td><td>26219</td><td>11.93e-6</td><td>86.563</td><td>49.69</td><td>662.3</td><td>34.39</td></tr><tr><td>Recursive2</td><td>4.371</td><td>277.6e-3</td><td>4.648</td><td>4.648</td><td>22877</td><td>12.14e-6</td><td>86.563</td><td>44.12</td><td>738.7</td><td>30.00</td></tr><tr><td>Interval</td><td>34.09e-6</td><td>216.8</td><td>216.8</td><td>03:36</td><td>21838345</td><td>9.926e-6</td><td>103.16</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.63</td><td>55.34</td><td>66.97</td><td>01:06</td><td>1923363</td><td>28.77e-6</td><td>101.86</td><td>25.53</td><td>30.89</td><td>8.807</td></tr><tr><td>MinVariance</td><td>15.35</td><td>74.90</td><td>90.25</td><td>01:30</td><td>2293605</td><td>32.66e-6</td><td>101.91</td><td>34.55</td><td>41.63</td><td>10.50</td></tr><tr><td>BSplines</td><td>12.04</td><td>377.9</td><td>389.9</td><td>06:29</td><td>14122699</td><td>26.76e-6</td><td>103.03</td><td>174.3</td><td>179.9</td><td>64.67</td></tr><tr><td>MinNorm</td><td>15.03</td><td>66.44</td><td>81.47</td><td>01:21</td><td>2070187</td><td>32.09e-6</td><td>101.89</td><td>30.65</td><td>37.58</td><td>9.480</td></tr><tr><td>MinVolume</td><td>13.26</td><td>85.49</td><td>98.76</td><td>01:38</td><td>2813635</td><td>30.39e-6</td><td>101.96</td><td>39.44</td><td>45.56</td><td>12.88</td></tr><tr><td>ApproxMinVolume</td><td>13.24</td><td>85.38</td><td>98.62</td><td>01:38</td><td>2826523</td><td>30.21e-6</td><td>101.97</td><td>39.38</td><td>45.49</td><td>12.94</td></tr><tr><td>Recursive</td><td>15.92</td><td>106.8</td><td>122.7</td><td>02:02</td><td>3349909</td><td>31.88e-6</td><td>101.86</td><td>49.26</td><td>56.60</td><td>15.34</td></tr><tr><td>Recursive2</td><td>15.87</td><td>115.6</td><td>131.5</td><td>02:11</td><td>3625501</td><td>31.89e-6</td><td>101.86</td><td>53.33</td><td>60.65</td><td>16.60</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>27.89e-6</td><td>139848</td><td>139848</td><td>1-14:50:48</td><td>12123898653</td><td>11.53e-6</td><td>120.04</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>74.01</td><td>45234</td><td>45308</td><td>12:35:08</td><td>821478845</td><td>55.06e-6</td><td>118.05</td><td>32.35</td><td>32.40</td><td>6.776</td></tr><tr><td>MinVariance</td><td>78.65</td><td>56001</td><td>56080</td><td>15:34:40</td><td>1039818845</td><td>53.86e-6</td><td>118.16</td><td>40.04</td><td>40.10</td><td>8.577</td></tr><tr><td>BSplines</td><td>95.85</td><td>551929</td><td>552024</td><td>6-09:20:24</td><td>10091161335</td><td>54.69e-6</td><td>120.02</td><td>394.7</td><td>394.7</td><td>83.23</td></tr><tr><td>MinNorm</td><td>77.45</td><td>49883</td><td>49960</td><td>13:52:40</td><td>923917317</td><td>53.99e-6</td><td>118.11</td><td>35.67</td><td>35.73</td><td>7.621</td></tr><tr><td>MinVolume</td><td>73.46</td><td>69869</td><td>69943</td><td>19:25:43</td><td>1359731795</td><td>51.38e-6</td><td>118.31</td><td>49.96</td><td>50.01</td><td>11.22</td></tr><tr><td>ApproxMinVolume</td><td>75.53</td><td>74680</td><td>74756</td><td>20:45:56</td><td>1367982335</td><td>54.59e-6</td><td>118.31</td><td>53.40</td><td>53.46</td><td>11.28</td></tr><tr><td>Recursive</td><td>74.07</td><td>96324</td><td>96398</td><td>1-02:46:38</td><td>1763392485</td><td>54.62e-6</td><td>118.05</td><td>68.88</td><td>68.93</td><td>14.54</td></tr><tr><td>Recursive2</td><td>74.28</td><td>79730</td><td>79804</td><td>22:10:04</td><td>1444148721</td><td>55.21e-6</td><td>118.05</td><td>57.01</td><td>57.07</td><td>11.91</td></tr></tbody></table>
<table><caption>Table 25: Bissection of problem 2D with problem: 15, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time_per_iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>29.09e-6</td><td>4.641e-3</td><td>4.670e-3</td><td>0.005</td><td>309</td><td>15.02e-6</td><td>56.197</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>806.1e-3</td><td>3.935e-3</td><td>810.0e-3</td><td>0.810</td><td>285</td><td>13.81e-6</td><td>56.197</td><td>84.79</td><td>17345.3</td><td>92.23</td></tr><tr><td>MinVariance</td><td>844.3e-3</td><td>3.985e-3</td><td>848.3e-3</td><td>0.848</td><td>305</td><td>13.07e-6</td><td>56.200</td><td>85.86</td><td>18164.2</td><td>98.71</td></tr><tr><td>BSplines</td><td>843.0e-3</td><td>5.383e-3</td><td>848.4e-3</td><td>0.848</td><td>581</td><td>9.265e-6</td><td>56.287</td><td>116.0</td><td>18166.0</td><td>188.0</td></tr><tr><td>MinNorm</td><td>822.5e-3</td><td>4.220e-3</td><td>826.7e-3</td><td>0.827</td><td>297</td><td>14.21e-6</td><td>56.199</td><td>90.93</td><td>17702.1</td><td>96.12</td></tr><tr><td>MinVolume</td><td>852.4e-3</td><td>4.451e-3</td><td>856.9e-3</td><td>0.857</td><td>319</td><td>13.95e-6</td><td>56.202</td><td>95.91</td><td>18348.1</td><td>103.2</td></tr><tr><td>ApproxMinVolume</td><td>832.0e-3</td><td>4.921e-3</td><td>837.0e-3</td><td>0.837</td><td>319</td><td>15.43e-6</td><td>56.202</td><td>106.0</td><td>17922.0</td><td>103.2</td></tr><tr><td>Recursive</td><td>868.8e-3</td><td>4.085e-3</td><td>872.9e-3</td><td>0.873</td><td>347</td><td>11.77e-6</td><td>56.197</td><td>88.02</td><td>18691.2</td><td>112.3</td></tr><tr><td>Recursive2</td><td>883.3e-3</td><td>4.488e-3</td><td>887.8e-3</td><td>0.888</td><td>301</td><td>14.91e-6</td><td>56.197</td><td>96.70</td><td>19009.5</td><td>97.41</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>33.14e-6</td><td>488.4e-3</td><td>488.4e-3</td><td>0.488</td><td>57467</td><td>8.498e-6</td><td>66.964</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.381</td><td>324.6e-3</td><td>3.706</td><td>3.706</td><td>27483</td><td>11.81e-6</td><td>66.956</td><td>66.46</td><td>758.7</td><td>47.82</td></tr><tr><td>MinVariance</td><td>4.675</td><td>431.3e-3</td><td>5.106</td><td>5.106</td><td>32117</td><td>13.43e-6</td><td>66.960</td><td>88.30</td><td>1045.5</td><td>55.89</td></tr><tr><td>BSplines</td><td>3.546</td><td>1.496</td><td>5.042</td><td>5.042</td><td>131623</td><td>11.37e-6</td><td>67.056</td><td>306.4</td><td>1032.4</td><td>229.0</td></tr><tr><td>MinNorm</td><td>4.474</td><td>385.8e-3</td><td>4.859</td><td>4.859</td><td>29939</td><td>12.89e-6</td><td>66.958</td><td>78.99</td><td>994.9</td><td>52.10</td></tr><tr><td>MinVolume</td><td>3.931</td><td>497.1e-3</td><td>4.428</td><td>4.428</td><td>43345</td><td>11.47e-6</td><td>66.964</td><td>101.8</td><td>906.7</td><td>75.43</td></tr><tr><td>ApproxMinVolume</td><td>3.972</td><td>507.7e-3</td><td>4.480</td><td>4.480</td><td>43481</td><td>11.68e-6</td><td>66.964</td><td>104.0</td><td>917.2</td><td>75.66</td></tr><tr><td>Recursive</td><td>3.871</td><td>388.9e-3</td><td>4.260</td><td>4.260</td><td>30669</td><td>12.68e-6</td><td>66.956</td><td>79.63</td><td>872.1</td><td>53.37</td></tr><tr><td>Recursive2</td><td>4.411</td><td>363.1e-3</td><td>4.774</td><td>4.774</td><td>28249</td><td>12.86e-6</td><td>66.956</td><td>74.36</td><td>977.5</td><td>49.16</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>22.89e-6</td><td>1380</td><td>1380</td><td>23.00</td><td>138635525</td><td>9.960e-6</td><td>61.348</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.50</td><td>407.6</td><td>419.1</td><td>06:59</td><td>14467777</td><td>28.17e-6</td><td>61.169</td><td>29.52</td><td>30.35</td><td>10.44</td></tr><tr><td>MinVariance</td><td>15.26</td><td>580.8</td><td>596.0</td><td>09:56</td><td>18199891</td><td>31.91e-6</td><td>61.181</td><td>42.06</td><td>43.16</td><td>13.13</td></tr><tr><td>BSplines</td><td>12.00</td><td>2987</td><td>2999</td><td>49:59</td><td>107209103</td><td>27.87e-6</td><td>61.321</td><td>216.4</td><td>217.2</td><td>77.33</td></tr><tr><td>MinNorm</td><td>14.75</td><td>509.1</td><td>523.9</td><td>08:43</td><td>16555737</td><td>30.75e-6</td><td>61.175</td><td>36.87</td><td>37.94</td><td>11.94</td></tr><tr><td>MinVolume</td><td>13.23</td><td>673.6</td><td>686.8</td><td>11:26</td><td>22183567</td><td>30.36e-6</td><td>61.193</td><td>48.78</td><td>49.74</td><td>16.00</td></tr><tr><td>ApproxMinVolume</td><td>12.96</td><td>666.9</td><td>679.8</td><td>11:19</td><td>22275089</td><td>29.94e-6</td><td>61.193</td><td>48.29</td><td>49.23</td><td>16.07</td></tr><tr><td>Recursive</td><td>15.72</td><td>466.4</td><td>482.1</td><td>08:02</td><td>15596101</td><td>29.90e-6</td><td>61.169</td><td>33.78</td><td>34.91</td><td>11.25</td></tr><tr><td>Recursive2</td><td>15.69</td><td>478.5</td><td>494.2</td><td>08:14</td><td>15645561</td><td>30.59e-6</td><td>61.169</td><td>34.66</td><td>35.79</td><td>11.29</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>29.00e-6</td><td>1735250</td><td>1735250</td><td>20:02:00:50</td><td>151278296982</td><td>11.47e-6</td><td>69.047</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.84</td><td>389912</td><td>389913</td><td>4:12:18:33</td><td>7632334923</td><td>51.09e-6</td><td>68.855</td><td>22.47</td><td>22.47</td><td>5.045</td></tr><tr><td>MinVariance</td><td>77.97</td><td>517962</td><td>517962</td><td>5-23:52:42</td><td>10073952213</td><td>51.42e-6</td><td>68.873</td><td>29.85</td><td>29.85</td><td>6.659</td></tr><tr><td>BSplines</td><td>73.72</td><td>4820730</td><td>4820730</td><td>55-19:05:30</td><td>94535010765</td><td>50.99e-6</td><td>69.079</td><td>27.78</td><td>27.78</td><td>62.49</td></tr><tr><td>MinNorm</td><td>77.49</td><td>463219</td><td>463219</td><td>5-08:40:19</td><td>8851231154</td><td>52.33e-6</td><td>68.865</td><td>26.69</td><td>26.69</td><td>5.851</td></tr><tr><td>MinVolume</td><td>75.61</td><td>656363</td><td>656363</td><td>7-14:19:23</td><td>12904267211</td><td>50.86e-6</td><td>68.890</td><td>37.83</td><td>37.83</td><td>8.530</td></tr><tr><td>ApproxMinVolume</td><td>75.61</td><td>668362</td><td>668362</td><td>7-17:39:22</td><td>12984726841</td><td>51.47e-6</td><td>68.890</td><td>38.52</td><td>38.52</td><td>8.583</td></tr><tr><td>Recursive</td><td>73.69</td><td>450767</td><td>450767</td><td>5-05:12:47</td><td>8626207494</td><td>52.26e-6</td><td>68.855</td><td>25.98</td><td>25.98</td><td>5.702</td></tr><tr><td>Recursive2</td><td>74.10</td><td>415463</td><td>415463</td><td>4:19:24:23</td><td>8053202773</td><td>51.59e-6</td><td>68.855</td><td>23.94</td><td>23.94</td><td>5.323</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>30.99e-6</td><td>3.422e-3</td><td>3.453e-3</td><td>0.003</td><td>143</td><td>23.93e-6</td><td>57.100</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.076</td><td>4.596e-3</td><td>1.081</td><td>1.081</td><td>105</td><td>43.77e-6</td><td>57.100</td><td>134.3</td><td>31297.0</td><td>73.43</td></tr><tr><td>MinVariance</td><td>1.076</td><td>5.231e-3</td><td>1.081</td><td>1.081</td><td>113</td><td>46.29e-6</td><td>57.119</td><td>152.9</td><td>31315.2</td><td>79.02</td></tr><tr><td>BSplines</td><td>1.076</td><td>4.616e-3</td><td>1.081</td><td>1.081</td><td>279</td><td>16.54e-6</td><td>57.825</td><td>134.9</td><td>31296.7</td><td>195.1</td></tr><tr><td>MinNorm</td><td>2.260</td><td>10.44e-3</td><td>2.271</td><td>2.271</td><td>109</td><td>95.79e-6</td><td>57.110</td><td>305.1</td><td>65758.7</td><td>76.22</td></tr><tr><td>MinVolume</td><td>2.260</td><td>9.986e-3</td><td>2.270</td><td>2.270</td><td>127</td><td>78.63e-6</td><td>57.137</td><td>291.8</td><td>65742.7</td><td>88.81</td></tr><tr><td>ApproxMinVolume</td><td>2.262</td><td>12.37e-3</td><td>2.274</td><td>2.274</td><td>127</td><td>97.39e-6</td><td>57.138</td><td>361.4</td><td>65854.5</td><td>88.81</td></tr><tr><td>Recursive</td><td>2.261</td><td>11.65e-3</td><td>2.273</td><td>2.273</td><td>163</td><td>71.45e-6</td><td>57.100</td><td>340.4</td><td>65823.8</td><td>114.0</td></tr><tr><td>Recursive2</td><td>2.260</td><td>8.224e-3</td><td>2.268</td><td>2.268</td><td>121</td><td>67.97e-6</td><td>57.100</td><td>240.3</td><td>65685.7</td><td>84.62</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>23.84e-6</td><td>184.2e-3</td><td>184.2e-3</td><td>0.184</td><td>21921</td><td>8.402e-6</td><td>68.518</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.390</td><td>125.6e-3</td><td>3.516</td><td>3.516</td><td>9905</td><td>12.68e-6</td><td>68.447</td><td>68.21</td><td>1908.8</td><td>45.18</td></tr><tr><td>MinVariance</td><td>4.704</td><td>153.9e-3</td><td>4.858</td><td>4.858</td><td>11315</td><td>13.60e-6</td><td>68.480</td><td>83.57</td><td>2637.3</td><td>51.62</td></tr><tr><td>BSplines</td><td>3.580</td><td>539.7e-3</td><td>4.120</td><td>4.120</td><td>43593</td><td>12.38e-6</td><td>69.244</td><td>293.0</td><td>2236.5</td><td>198.9</td></tr><tr><td>MinNorm</td><td>4.508</td><td>138.4e-3</td><td>4.646</td><td>4.646</td><td>10539</td><td>13.13e-6</td><td>68.465</td><td>75.16</td><td>2522.5</td><td>48.08</td></tr><tr><td>MinVolume</td><td>3.926</td><td>163.7e-3</td><td>4.089</td><td>4.089</td><td>13067</td><td>12.53e-6</td><td>68.511</td><td>88.89</td><td>2220.1</td><td>59.61</td></tr><tr><td>ApproxMinVolume</td><td>3.982</td><td>173.0e-3</td><td>4.155</td><td>4.155</td><td>13105</td><td>13.20e-6</td><td>68.512</td><td>93.94</td><td>2255.6</td><td>59.78</td></tr><tr><td>Recursive</td><td>3.876</td><td>174.0e-3</td><td>4.050</td><td>4.050</td><td>13539</td><td>12.86e-6</td><td>68.447</td><td>94.50</td><td>2198.8</td><td>61.76</td></tr><tr><td>Recursive2</td><td>4.352</td><td>138.7e-3</td><td>4.491</td><td>4.491</td><td>10825</td><td>12.81e-6</td><td>68.447</td><td>75.29</td><td>2438.2</td><td>49.38</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>30.04e-6</td><td>100.7</td><td>100.7</td><td>01:40</td><td>9683383</td><td>10.40e-6</td><td>63.828</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.65</td><td>42.43</td><td>54.08</td><td>54:077</td><td>1446751</td><td>29.33e-6</td><td>62.291</td><td>42.12</td><td>53.69</td><td>14.94</td></tr><tr><td>MinVariance</td><td>15.39</td><td>57.88</td><td>73.27</td><td>01:13</td><td>1767887</td><td>32.74e-6</td><td>62.387</td><td>57.47</td><td>72.74</td><td>18.26</td></tr><tr><td>BSplines</td><td>12.12</td><td>282.2</td><td>294.3</td><td>04:54</td><td>9458327</td><td>29.83e-6</td><td>63.535</td><td>280.1</td><td>292.2</td><td>97.68</td></tr><tr><td>MinNorm</td><td>15.10</td><td>50.92</td><td>66.03</td><td>01:06</td><td>1597585</td><td>31.88e-6</td><td>62.323</td><td>50.56</td><td>65.55</td><td>16.50</td></tr><tr><td>MinVolume</td><td>13.19</td><td>65.02</td><td>78.21</td><td>01:18</td><td>2149515</td><td>30.25e-6</td><td>62.454</td><td>64.55</td><td>77.65</td><td>22.20</td></tr><tr><td>ApproxMinVolume</td><td>13.09</td><td>65.02</td><td>78.11</td><td>01:18</td><td>2158605</td><td>30.12e-6</td><td>62.457</td><td>64.55</td><td>77.54</td><td>22.29</td></tr><tr><td>Recursive</td><td>15.90</td><td>61.37</td><td>77.26</td><td>01:17</td><td>1987681</td><td>30.87e-6</td><td>62.291</td><td>60.93</td><td>76.71</td><td>20.53</td></tr><tr><td>Recursive2</td><td>15.85</td><td>66.40</td><td>82.25</td><td>01:22</td><td>2143553</td><td>30.98e-6</td><td>62.291</td><td>65.93</td><td>81.66</td><td>22.14</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>35.05e-6</td><td>53601</td><td>53601</td><td>14:53:21</td><td>4690020111</td><td>11.43e-6</td><td>72.049</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>99.05</td><td>22184</td><td>22283</td><td>06:11:23</td><td>416835919</td><td>53.22e-6</td><td>70.530</td><td>41.39</td><td>41.57</td><td>8.888</td></tr><tr><td>MinVariance</td><td>103.2</td><td>29305</td><td>29408</td><td>08:10:08</td><td>542403241</td><td>54.03e-6</td><td>70.642</td><td>54.67</td><td>54.87</td><td>11.57</td></tr><tr><td>BSplines</td><td>98.89</td><td>267826</td><td>267826</td><td>3-02:23:46</td><td>5106155908</td><td>52.45e-6</td><td>72.337</td><td>499.7</td><td>499.7</td><td>108.9</td></tr><tr><td>MinNorm</td><td>102.6</td><td>25621</td><td>25724</td><td>07:08:44</td><td>476926901</td><td>53.72e-6</td><td>70.568</td><td>47.80</td><td>47.99</td><td>10.17</td></tr><tr><td>MinVolume</td><td>101.5</td><td>40851</td><td>40953</td><td>11:22:33</td><td>706534125</td><td>57.82e-6</td><td>70.758</td><td>76.21</td><td>76.40</td><td>15.06</td></tr><tr><td>ApproxMinVolume</td><td>100.9</td><td>37214</td><td>37315</td><td>10:21:55</td><td>710494281</td><td>52.38e-6</td><td>70.760</td><td>69.43</td><td>69.62</td><td>15.15</td></tr><tr><td>Recursive</td><td>98.93</td><td>39381</td><td>39480</td><td>10:58:00</td><td>752622697</td><td>52.33e-6</td><td>70.530</td><td>73.47</td><td>73.66</td><td>16.05</td></tr><tr><td>Recursive2</td><td>99.34</td><td>32623</td><td>32722</td><td>09:05:22</td><td>619323045</td><td>52.68e-6</td><td>70.530</td><td>60.86</td><td>61.05</td><td>13.21</td></tr></tbody></table>
<table><caption>Table 26: Bissection of problem 2D with problem: 16, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time_per_iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>30.99e-6</td><td>3.115e-3</td><td>3.146e-3</td><td>0.003</td><td>89</td><td>35.00e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>855.7e-3</td><td>3.047e-3</td><td>858.8e-3</td><td>0.859</td><td>65</td><td>46.88e-6</td><td>infeasible</td><td>97.82</td><td>27297.8</td><td>73.03</td></tr><tr><td>MinVariance</td><td>901.0e-3</td><td>3.460e-3</td><td>904.4e-3</td><td>0.904</td><td>61</td><td>56.72e-6</td><td>infeasible</td><td>111.1</td><td>28749.6</td><td>68.54</td></tr><tr><td>BSplines</td><td>840.7e-3</td><td>3.297e-3</td><td>844.1e-3</td><td>0.844</td><td>111</td><td>29.70e-6</td><td>infeasible</td><td>105.8</td><td>26830.0</td><td>124.7</td></tr><tr><td>MinNorm</td><td>891.9e-3</td><td>3.185e-3</td><td>895.1e-3</td><td>0.895</td><td>59</td><td>53.98e-6</td><td>infeasible</td><td>102.3</td><td>28451.7</td><td>66.29</td></tr><tr><td>MinVolume</td><td>882.0e-3</td><td>3.016e-3</td><td>885.0e-3</td><td>0.885</td><td>69</td><td>43.71e-6</td><td>infeasible</td><td>96.82</td><td>28131.4</td><td>77.53</td></tr><tr><td>ApproxMinVolume</td><td>891.4e-3</td><td>3.407e-3</td><td>894.8e-3</td><td>0.895</td><td>69</td><td>49.38e-6</td><td>infeasible</td><td>109.4</td><td>28442.5</td><td>77.53</td></tr><tr><td>Recursive</td><td>867.5e-3</td><td>3.394e-3</td><td>871.0e-3</td><td>0.871</td><td>91</td><td>37.30e-6</td><td>infeasible</td><td>109.0</td><td>27685.0</td><td>102.2</td></tr><tr><td>Recursive2</td><td>846.2e-3</td><td>3.417e-3</td><td>849.6e-3</td><td>0.850</td><td>119</td><td>28.71e-6</td><td>infeasible</td><td>109.7</td><td>27006.6</td><td>133.7</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>426.2e-3</td><td>426.3e-3</td><td>0.426</td><td>50577</td><td>8.428e-6</td><td>47.608</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.404</td><td>397.4e-3</td><td>3.801</td><td>3.801</td><td>31069</td><td>12.79e-6</td><td>47.567</td><td>93.23</td><td>891.8</td><td>61.43</td></tr><tr><td>MinVariance</td><td>4.727</td><td>503.3e-3</td><td>5.230</td><td>5.230</td><td>35549</td><td>14.16e-6</td><td>47.571</td><td>118.1</td><td>1227.0</td><td>70.29</td></tr><tr><td>BSplines</td><td>3.600</td><td>1.390</td><td>4.990</td><td>4.990</td><td>109921</td><td>12.65e-6</td><td>47.694</td><td>326.2</td><td>1170.6</td><td>217.3</td></tr><tr><td>MinNorm</td><td>4.511</td><td>447.3e-3</td><td>4.958</td><td>4.958</td><td>33345</td><td>13.41e-6</td><td>47.569</td><td>104.9</td><td>1163.2</td><td>65.93</td></tr><tr><td>MinVolume</td><td>3.919</td><td>522.1e-3</td><td>4.441</td><td>4.441</td><td>39941</td><td>13.07e-6</td><td>47.575</td><td>122.5</td><td>1041.8</td><td>78.97</td></tr><tr><td>ApproxMinVolume</td><td>3.914</td><td>531.4e-3</td><td>4.445</td><td>4.445</td><td>40003</td><td>13.28e-6</td><td>47.576</td><td>124.7</td><td>1042.8</td><td>79.09</td></tr><tr><td>Recursive</td><td>3.872</td><td>411.9e-3</td><td>4.284</td><td>4.284</td><td>32383</td><td>12.72e-6</td><td>47.567</td><td>96.63</td><td>1005.0</td><td>64.03</td></tr><tr><td>Recursive2</td><td>4.388</td><td>423.5e-3</td><td>4.812</td><td>4.812</td><td>31859</td><td>13.29e-6</td><td>47.567</td><td>99.37</td><td>1128.8</td><td>62.99</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>115.5</td><td>115.5</td><td>01:55</td><td>11486469</td><td>10.06e-6</td><td>35.729</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.52</td><td>72.19</td><td>83.70</td><td>01:23</td><td>2535375</td><td>28.47e-6</td><td>35.671</td><td>62.48</td><td>72.45</td><td>22.07</td></tr><tr><td>MinVariance</td><td>15.28</td><td>105.4</td><td>120.7</td><td>02:00</td><td>3274205</td><td>32.19e-6</td><td>35.679</td><td>91.23</td><td>104.5</td><td>28.50</td></tr><tr><td>BSplines</td><td>11.96</td><td>659.5</td><td>671.4</td><td>11:11</td><td>22128483</td><td>29.80e-6</td><td>35.777</td><td>570.8</td><td>581.2</td><td>192.6</td></tr><tr><td>MinNorm</td><td>14.77</td><td>92.31</td><td>107.1</td><td>01:47</td><td>2909521</td><td>31.73e-6</td><td>35.677</td><td>79.91</td><td>92.69</td><td>25.33</td></tr><tr><td>MinVolume</td><td>13.16</td><td>120.9</td><td>134.0</td><td>02:14</td><td>4025573</td><td>30.03e-6</td><td>35.685</td><td>104.6</td><td>116.0</td><td>35.05</td></tr><tr><td>ApproxMinVolume</td><td>12.92</td><td>120.6</td><td>133.6</td><td>02:13</td><td>4043095</td><td>29.84e-6</td><td>35.685</td><td>104.4</td><td>115.6</td><td>35.20</td></tr><tr><td>Recursive</td><td>15.92</td><td>82.29</td><td>98.21</td><td>01:38</td><td>2666987</td><td>30.85e-6</td><td>35.671</td><td>71.23</td><td>85.01</td><td>23.22</td></tr><tr><td>Recursive2</td><td>15.78</td><td>87.01</td><td>102.8</td><td>01:42</td><td>2817047</td><td>30.89e-6</td><td>35.671</td><td>75.31</td><td>88.97</td><td>24.52</td></tr><tr><td>Interval</td><td>28.00e-6</td><td>687650</td><td>687650</td><td>7-23:00:50</td><td>59005613511</td><td>11.65e-6</td><td>35.750</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.58</td><td>456398</td><td>456398</td><td>5-06:46:38</td><td>9110726498</td><td>50.09e-6</td><td>35.610</td><td>66.37</td><td>66.37</td><td>15.44</td></tr><tr><td>MinVariance</td><td>78.14</td><td>624199</td><td>624199</td><td>7-05:23:19</td><td>12365380847</td><td>50.48e-6</td><td>35.626</td><td>90.77</td><td>90.77</td><td>20.96</td></tr><tr><td>BSplines</td><td>73.70</td><td>in progress</td><td>> 60 days</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td rowspan="10">3</td><td>MinNorm</td><td>77.24</td><td>549998</td><td>549998</td><td>6-08:46:38</td><td>10896867091</td><td>50.47e-6</td><td>35.618</td><td>79.98</td><td>79.98</td><td>18.47</td></tr><tr><td>MinVolume</td><td>75.64</td><td>793283</td><td>793283</td><td>9-04:21:23</td><td>16186187558</td><td>49.01e-6</td><td>35.641</td><td>115.4</td><td>115.4</td><td>27.43</td></tr><tr><td>ApproxMinVolume</td><td>75.37</td><td>825185</td><td>825185</td><td>9-13:13:05</td><td>16301546790</td><td>50.62e-6</td><td>35.642</td><td>120.0</td><td>120.0</td><td>27.63</td></tr><tr><td>Recursive</td><td>74.17</td><td>488684</td><td>488684</td><td>5-15:44:44</td><td>9897003665</td><td>49.38e-6</td><td>35.610</td><td>71.07</td><td>71.07</td><td>16.77</td></tr><tr><td>Recursive2</td><td>73.95</td><td>484539</td><td>484539</td><td>5-14:35:39</td><td>9592032214</td><td>50.51e-6</td><td>35.610</td><td>70.46</td><td>70.46</td><td>16.26</td></tr><tr><td>Interval</td><td>26.94e-6</td><td>77.60e-3</td><td>77.62e-3</td><td>0.078</td><td>89</td><td>871.9e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.260</td><td>9.079e-3</td><td>2.269</td><td>2.269</td><td>65</td><td>139.7e-6</td><td>infeasible</td><td>11.70</td><td>2923.4</td><td>73.03</td></tr><tr><td>MinVariance</td><td>2.260</td><td>8.334e-3</td><td>2.268</td><td>2.268</td><td>61</td><td>136.6e-6</td><td>infeasible</td><td>10.74</td><td>2922.2</td><td>68.54</td></tr><tr><td>BSplines</td><td>2.260</td><td>6.923e-3</td><td>2.267</td><td>2.267</td><td>111</td><td>62.37e-6</td><td>infeasible</td><td>8.922</td><td>2920.1</td><td>124.7</td></tr><tr><td>MinNorm</td><td>2.260</td><td>5.535e-3</td><td>2.265</td><td>2.265</td><td>59</td><td>93.82e-6</td><td>infeasible</td><td>7.133</td><td>2918.1</td><td>66.29</td></tr><tr><td>MinVolume</td><td>2.260</td><td>4.952e-3</td><td>2.265</td><td>2.265</td><td>69</td><td>71.77e-6</td><td>infeasible</td><td>6.382</td><td>2917.3</td><td>77.53</td></tr><tr><td>ApproxMinVolume</td><td>2.260</td><td>7.288e-3</td><td>2.267</td><td>2.267</td><td>69</td><td>105.6e-6</td><td>infeasible</td><td>9.392</td><td>2920.7</td><td>77.53</td></tr><tr><td>Recursive</td><td>2.260</td><td>3.604e-3</td><td>2.263</td><td>2.263</td><td>91</td><td>39.60e-6</td><td>infeasible</td><td>4.644</td><td>2915.9</td><td>102.2</td></tr><tr><td>Recursive2</td><td>2.260</td><td>4.522e-3</td><td>2.264</td><td>2.264</td><td>119</td><td>38.00e-6</td><td>infeasible</td><td>5.828</td><td>2917.0</td><td>133.7</td></tr><tr><td>Interval</td><td>29.80e-6</td><td>61.14e-3</td><td>61.17e-3</td><td>0.061</td><td>6937</td><td>8.813e-6</td><td>49.139</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td rowspan="10">4</td><td>Bernstein</td><td>3.372</td><td>52.64e-3</td><td>3.425</td><td>3.425</td><td>4049</td><td>13.00e-6</td><td>48.529</td><td>86.10</td><td>5599.5</td><td>58.37</td></tr><tr><td>MinVariance</td><td>4.661</td><td>65.62e-3</td><td>4.727</td><td>4.727</td><td>4805</td><td>13.66e-6</td><td>48.565</td><td>107.3</td><td>7727.5</td><td>69.27</td></tr><tr><td>BSplines</td><td>3.583</td><td>190.1e-3</td><td>3.774</td><td>3.774</td><td>15215</td><td>12.49e-6</td><td>49.543</td><td>310.9</td><td>6169.2</td><td>219.3</td></tr><tr><td>MinNorm</td><td>4.577</td><td>63.43e-3</td><td>4.640</td><td>4.640</td><td>4585</td><td>13.83e-6</td><td>48.549</td><td>103.7</td><td>7585.8</td><td>66.09</td></tr><tr><td>MinVolume</td><td>3.968</td><td>70.94e-3</td><td>4.039</td><td>4.039</td><td>5373</td><td>13.20e-6</td><td>48.882</td><td>116.0</td><td>6603.0</td><td>77.45</td></tr><tr><td>ApproxMinVolume</td><td>3.947</td><td>71.72e-3</td><td>4.018</td><td>4.018</td><td>5387</td><td>13.31e-6</td><td>48.882</td><td>117.3</td><td>6569.6</td><td>77.66</td></tr><tr><td>Recursive</td><td>3.890</td><td>65.56e-3</td><td>3.956</td><td>3.956</td><td>5089</td><td>12.88e-6</td><td>48.529</td><td>107.2</td><td>6467.6</td><td>73.36</td></tr><tr><td>Recursive2</td><td>4.384</td><td>67.08e-3</td><td>4.451</td><td>4.451</td><td>4763</td><td>14.08e-6</td><td>48.529</td><td>109.7</td><td>7276.8</td><td>68.66</td></tr><tr><td>Interval</td><td>42.92e-6</td><td>26.24</td><td>26.24</td><td>26.241</td><td>2692783</td><td>9.745e-6</td><td>37.082</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.59</td><td>13.66</td><td>25.25</td><td>25.248</td><td>508285</td><td>26.87e-6</td><td>36.580</td><td>52.04</td><td>96.21</td><td>18.88</td></tr><tr><td>MinVariance</td><td>15.17</td><td>22.47</td><td>37.64</td><td>37.643</td><td>697329</td><td>32.22e-6</td><td>36.618</td><td>85.62</td><td>143.4</td><td>25.90</td></tr><tr><td>BSplines</td><td>12.15</td><td>139.3</td><td>151.4</td><td>02:31</td><td>4614157</td><td>30.18e-6</td><td>37.505</td><td>530.8</td><td>577.0</td><td>171.4</td></tr><tr><td>MinNorm</td><td>15.05</td><td>19.72</td><td>34.77</td><td>34.770</td><td>616243</td><td>32.00e-6</td><td>36.601</td><td>75.16</td><td>132.5</td><td>22.88</td></tr><tr><td>MinVolume</td><td>13.19</td><td>24.00</td><td>37.19</td><td>37.189</td><td>841707</td><td>28.52e-6</td><td>36.702</td><td>91.47</td><td>141.7</td><td>31.26</td></tr><tr><td>ApproxMinVolume</td><td>13.13</td><td>25.89</td><td>39.02</td><td>39.025</td><td>845367</td><td>30.63e-6</td><td>36.703</td><td>98.67</td><td>148.7</td><td>31.39</td></tr><tr><td>Recursive</td><td>15.81</td><td>19.06</td><td>34.87</td><td>34.869</td><td>622349</td><td>30.63e-6</td><td>36.580</td><td>72.64</td><td>132.9</td><td>23.11</td></tr><tr><td>Recursive2</td><td>15.76</td><td>23.48</td><td>39.24</td><td>39.242</td><td>779781</td><td>30.12e-6</td><td>36.580</td><td>89.49</td><td>149.5</td><td>28.96</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>38.15e-6</td><td>19061</td><td>19061</td><td>05:17:41</td><td>1600276821</td><td>11.91e-6</td><td>38.245</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>99.13</td><td>21513</td><td>21612</td><td>06:00:12</td><td>403299393</td><td>53.34e-6</td><td>37.086</td><td>112.9</td><td>113.4</td><td>25.20</td></tr><tr><td>MinVariance</td><td>103.3</td><td>27265</td><td>27368</td><td>07:36:08</td><td>499019297</td><td>54.64e-6</td><td>37.202</td><td>143.0</td><td>143.6</td><td>31.18</td></tr><tr><td>BSplines</td><td>99.07</td><td>156957</td><td>156958</td><td>1-19:35:58</td><td>2979278014</td><td>52.68e-6</td><td>38.704</td><td>823.4</td><td>823.4</td><td>186.2</td></tr><tr><td>MinNorm</td><td>103.1</td><td>24685</td><td>24788</td><td>06:53:08</td><td>451498425</td><td>54.35e-6</td><td>37.151</td><td>129.5</td><td>130.0</td><td>28.38</td></tr><tr><td>MinVolume</td><td>101.6</td><td>32489</td><td>32591</td><td>09:03:11</td><td>618067121</td><td>52.57e-6</td><td>37.312</td><td>170.4</td><td>171.0</td><td>38.62</td></tr><tr><td>ApproxMinVolume</td><td>101.6</td><td>33062</td><td>33163</td><td>09:12:43</td><td>621500519</td><td>53.20e-6</td><td>37.313</td><td>173.5</td><td>174.0</td><td>38.84</td></tr><tr><td>Recursive</td><td>98.29</td><td>29944</td><td>30043</td><td>08:20:43</td><td>561904601</td><td>53.29e-6</td><td>37.086</td><td>157.1</td><td>157.6</td><td>35.11</td></tr><tr><td>Recursive2</td><td>99.04</td><td>26455</td><td>26555</td><td>07:22:35</td><td>492025219</td><td>53.77e-6</td><td>37.086</td><td>138.8</td><td>139.3</td><td>30.75</td></tr></tbody></table>
<table><caption>Table 27: Bissection of problem 2D with problem: 17, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S:ms)</th><th>nb.iter</th><th>time_per_iter</th><th>criteria</th><th>comput.time (%)</th><th>total_time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>28.85e-6</td><td>15.47e-3</td><td>15.50e-3</td><td>0.015</td><td>1977</td><td>7.825e-6</td><td>79.256</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>762.5e-3</td><td>7.414e-3</td><td>769.9e-3</td><td>0.770</td><td>1193</td><td>6.214e-6</td><td>79.195</td><td>47.93</td><td>4967.7</td><td>60.34</td></tr><tr><td>MinVariance</td><td>818.9e-3</td><td>7.375e-3</td><td>826.3e-3</td><td>0.826</td><td>1267</td><td>5.821e-6</td><td>79.197</td><td>47.68</td><td>5331.4</td><td>64.09</td></tr><tr><td>BSplines</td><td>769.3e-3</td><td>12.06e-3</td><td>781.4e-3</td><td>0.781</td><td>2731</td><td>4.416e-6</td><td>79.286</td><td>77.96</td><td>5014.8</td><td>138.1</td></tr><tr><td>MinNorm</td><td>781.1e-3</td><td>6.755e-3</td><td>787.9e-3</td><td>0.788</td><td>1219</td><td>5.541e-6</td><td>79.196</td><td>43.67</td><td>5083.9</td><td>61.66</td></tr><tr><td>MinVolume</td><td>875.4e-3</td><td>7.811e-3</td><td>883.3e-3</td><td>0.883</td><td>1359</td><td>5.747e-6</td><td>79.199</td><td>50.49</td><td>5699.3</td><td>68.74</td></tr><tr><td>ApproxMinVolume</td><td>787.5e-3</td><td>7.613e-3</td><td>795.2e-3</td><td>0.795</td><td>1361</td><td>5.594e-6</td><td>79.199</td><td>49.22</td><td>5130.7</td><td>68.84</td></tr><tr><td>Recursive</td><td>755.9e-3</td><td>7.087e-3</td><td>763.0e-3</td><td>0.763</td><td>1295</td><td>5.473e-6</td><td>79.195</td><td>45.81</td><td>4923.5</td><td>65.50</td></tr><tr><td>Recursive2</td><td>855.3e-3</td><td>7.371e-3</td><td>862.7e-3</td><td>0.863</td><td>1227</td><td>6.007e-6</td><td>79.195</td><td>47.65</td><td>5566.3</td><td>62.06</td></tr><tr><td>Interval</td><td>34.09e-6</td><td>1.606</td><td>1.606</td><td>1.606</td><td>205881</td><td>7.801e-6</td><td>80.820</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.366</td><td>961.4e-3</td><td>4.328</td><td>4.328</td><td>76769</td><td>12.52e-6</td><td>80.719</td><td>59.86</td><td>269.5</td><td>37.29</td></tr><tr><td>MinVariance</td><td>4.682</td><td>1.240</td><td>5.922</td><td>5.922</td><td>89543</td><td>13.85e-6</td><td>80.723</td><td>77.19</td><td>368.7</td><td>43.49</td></tr><tr><td>BSplines</td><td>3.559</td><td>3.861</td><td>7.420</td><td>7.420</td><td>309183</td><td>12.49e-6</td><td>80.806</td><td>240.4</td><td>461.9</td><td>150.2</td></tr><tr><td>MinNorm</td><td>4.507</td><td>1.092</td><td>5.599</td><td>5.599</td><td>84561</td><td>12.91e-6</td><td>80.722</td><td>67.97</td><td>348.6</td><td>41.07</td></tr><tr><td>MinVolume</td><td>3.983</td><td>1.330</td><td>5.312</td><td>5.312</td><td>104051</td><td>12.78e-6</td><td>80.727</td><td>82.79</td><td>330.7</td><td>50.54</td></tr><tr><td>ApproxMinVolume</td><td>3.977</td><td>1.354</td><td>5.330</td><td>5.330</td><td>104255</td><td>12.99e-6</td><td>80.727</td><td>84.28</td><td>331.9</td><td>50.64</td></tr><tr><td>Recursive</td><td>3.916</td><td>1.009</td><td>4.925</td><td>4.925</td><td>80601</td><td>12.52e-6</td><td>80.719</td><td>62.81</td><td>306.6</td><td>39.15</td></tr><tr><td>Recursive2</td><td>4.406</td><td>1.026</td><td>5.432</td><td>5.432</td><td>77765</td><td>13.20e-6</td><td>80.719</td><td>63.90</td><td>338.2</td><td>37.77</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>2469</td><td>2469</td><td>41.09</td><td>279256333</td><td>8.842e-6</td><td>93.403</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.56</td><td>423.2</td><td>434.8</td><td>07:14</td><td>14731509</td><td>28.73e-6</td><td>93.208</td><td>17.14</td><td>17.61</td><td>5.275</td></tr><tr><td>MinVariance</td><td>15.22</td><td>612.5</td><td>627.7</td><td>10:27</td><td>18292447</td><td>33.48e-6</td><td>93.219</td><td>24.80</td><td>25.42</td><td>6.550</td></tr><tr><td>BSplines</td><td>11.97</td><td>3033</td><td>3045</td><td>50:45</td><td>107307337</td><td>28.27e-6</td><td>93.349</td><td>122.9</td><td>123.3</td><td>38.43</td></tr><tr><td>MinNorm</td><td>14.82</td><td>521.4</td><td>536.2</td><td>08:56</td><td>16719691</td><td>31.19e-6</td><td>93.214</td><td>21.12</td><td>21.72</td><td>5.987</td></tr><tr><td>MinVolume</td><td>13.18</td><td>671.1</td><td>684.3</td><td>11:24</td><td>22250121</td><td>30.16e-6</td><td>93.229</td><td>27.18</td><td>27.71</td><td>7.968</td></tr><tr><td>ApproxMinVolume</td><td>12.97</td><td>665.2</td><td>678.2</td><td>11:18</td><td>22338235</td><td>29.78e-6</td><td>93.229</td><td>26.94</td><td>27.47</td><td>7.999</td></tr><tr><td>Recursive</td><td>15.77</td><td>481.1</td><td>496.9</td><td>08:16</td><td>15893175</td><td>30.27e-6</td><td>93.208</td><td>19.49</td><td>20.12</td><td>5.691</td></tr><tr><td>Recursive2</td><td>15.85</td><td>490.8</td><td>506.6</td><td>08:26</td><td>16385337</td><td>29.95e-6</td><td>93.208</td><td>19.88</td><td>20.52</td><td>5.867</td></tr><tr><td>Interval</td><td>28.00e-6</td><td>4108250</td><td>4108250</td><td>47-13:10:50</td><td>372573382554</td><td>11.03e-6</td><td>107.82</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.76</td><td>484952</td><td>484952</td><td>5-14:42:32</td><td>9553074604</td><td>50.76e-6</td><td>107.48</td><td>11.80</td><td>11.80</td><td>2.564</td></tr><tr><td>MinVariance</td><td>78.18</td><td>654506</td><td>654506</td><td>7-13:48:26</td><td>12581726837</td><td>52.02e-6</td><td>107.49</td><td>15.93</td><td>15.93</td><td>3.377</td></tr><tr><td>BSplines</td><td>73.98</td><td>in progress</td><td>> 60 days</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td rowspan="10">3</td><td>MinNorm</td><td>77.28</td><td>569679</td><td>569679</td><td>6-14:14:39</td><td>11123112281</td><td>51.22e-6</td><td>107.48</td><td>13.87</td><td>13.87</td><td>2.985</td></tr><tr><td>MinVolume</td><td>75.95</td><td>815357</td><td>815357</td><td>9-10:29:17</td><td>16307861911</td><td>50.00e-6</td><td>107.50</td><td>19.85</td><td>19.85</td><td>4.377</td></tr><tr><td>ApproxMinVolume</td><td>75.63</td><td>831328</td><td>831328</td><td>9-14:55:28</td><td>16396808355</td><td>50.70e-6</td><td>107.50</td><td>20.24</td><td>20.24</td><td>4.401</td></tr><tr><td>Recursive</td><td>74.27</td><td>534632</td><td>534633</td><td>6-04:30:33</td><td>10699090635</td><td>50.01e-6</td><td>107.48</td><td>13.01</td><td>13.01</td><td>2.869</td></tr><tr><td>Recursive2</td><td>72.31</td><td>517185</td><td>517185</td><td>5-23:39:45</td><td>10260479676</td><td>50.41e-6</td><td>107.48</td><td>12.59</td><td>12.59</td><td>2.754</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>81.04e-3</td><td>81.07e-3</td><td>0.081</td><td>549</td><td>147.6e-6</td><td>80.229</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.259</td><td>6.168e-3</td><td>2.265</td><td>2.265</td><td>339</td><td>18.19e-6</td><td>79.743</td><td>7.611</td><td>2794.0</td><td>61.75</td></tr><tr><td>MinVariance</td><td>2.259</td><td>8.591e-3</td><td>2.268</td><td>2.268</td><td>355</td><td>24.20e-6</td><td>79.762</td><td>10.60</td><td>2797.3</td><td>64.66</td></tr><tr><td>BSplines</td><td>2.259</td><td>6.426e-3</td><td>2.265</td><td>2.265</td><td>819</td><td>7.846e-6</td><td>80.473</td><td>7.929</td><td>2794.2</td><td>149.2</td></tr><tr><td>MinNorm</td><td>2.259</td><td>6.785e-3</td><td>2.266</td><td>2.266</td><td>343</td><td>19.78e-6</td><td>79.753</td><td>8.372</td><td>2794.6</td><td>62.48</td></tr><tr><td>MinVolume</td><td>2.259</td><td>10.13e-3</td><td>2.269</td><td>2.269</td><td>465</td><td>21.78e-6</td><td>79.781</td><td>12.50</td><td>2799.1</td><td>84.70</td></tr><tr><td>ApproxMinVolume</td><td>2.259</td><td>4.737e-3</td><td>2.264</td><td>2.264</td><td>467</td><td>10.14e-6</td><td>79.781</td><td>5.845</td><td>2792.2</td><td>85.06</td></tr><tr><td>Recursive</td><td>2.259</td><td>5.178e-3</td><td>2.264</td><td>2.264</td><td>435</td><td>11.90e-6</td><td>79.743</td><td>6.389</td><td>2793.0</td><td>79.23</td></tr><tr><td>Recursive2</td><td>2.259</td><td>7.648e-3</td><td>2.267</td><td>2.267</td><td>381</td><td>20.07e-6</td><td>79.743</td><td>9.437</td><td>2796.3</td><td>69.40</td></tr><tr><td>Interval</td><td>22.89e-6</td><td>433.4e-3</td><td>433.5e-3</td><td>0.433</td><td>52953</td><td>8.185e-6</td><td>82.293</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.406</td><td>189.7e-3</td><td>3.596</td><td>3.596</td><td>14737</td><td>12.87e-6</td><td>81.625</td><td>43.77</td><td>829.6</td><td>27.83</td></tr><tr><td>MinVariance</td><td>4.663</td><td>253.9e-3</td><td>4.917</td><td>4.917</td><td>18357</td><td>13.83e-6</td><td>81.656</td><td>58.59</td><td>1134.4</td><td>34.67</td></tr><tr><td>BSplines</td><td>3.543</td><td>940.1e-3</td><td>4.483</td><td>4.483</td><td>77719</td><td>12.10e-6</td><td>82.311</td><td>216.9</td><td>1034.3</td><td>146.8</td></tr><tr><td>MinNorm</td><td>4.567</td><td>224.6e-3</td><td>4.792</td><td>4.792</td><td>16873</td><td>13.31e-6</td><td>81.642</td><td>51.82</td><td>1105.5</td><td>31.86</td></tr><tr><td>MinVolume</td><td>3.944</td><td>262.8e-3</td><td>4.207</td><td>4.207</td><td>21013</td><td>12.51e-6</td><td>81.685</td><td>60.63</td><td>970.6</td><td>39.68</td></tr><tr><td>ApproxMinVolume</td><td>3.921</td><td>268.4e-3</td><td>4.189</td><td>4.189</td><td>21183</td><td>12.67e-6</td><td>81.686</td><td>61.91</td><td>966.5</td><td>40.00</td></tr><tr><td>Recursive</td><td>3.868</td><td>232.0e-3</td><td>4.100</td><td>4.100</td><td>18069</td><td>12.84e-6</td><td>81.625</td><td>53.52</td><td>946.0</td><td>34.12</td></tr><tr><td>Recursive2</td><td>4.319</td><td>213.4e-3</td><td>4.533</td><td>4.533</td><td>15735</td><td>13.56e-6</td><td>81.625</td><td>49.24</td><td>1045.7</td><td>29.72</td></tr><tr><td>Interval</td><td>23.84e-6</td><td>242.8</td><td>242.8</td><td>04:02</td><td>24761387</td><td>9.807e-6</td><td>95.784</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.66</td><td>47.80</td><td>59.46</td><td>59:461</td><td>1651391</td><td>28.95e-6</td><td>94.237</td><td>19.69</td><td>24.49</td><td>6.669</td></tr><tr><td>MinVariance</td><td>15.11</td><td>64.52</td><td>79.62</td><td>01:19</td><td>1993077</td><td>32.37e-6</td><td>94.322</td><td>26.57</td><td>32.79</td><td>8.049</td></tr><tr><td>BSplines</td><td>12.05</td><td>345.4</td><td>357.4</td><td>05:57</td><td>11840691</td><td>29.17e-6</td><td>95.378</td><td>142.2</td><td>147.2</td><td>47.82</td></tr><tr><td>MinNorm</td><td>14.87</td><td>57.73</td><td>72.60</td><td>01:12</td><td>1815731</td><td>31.79e-6</td><td>94.302</td><td>23.77</td><td>29.90</td><td>7.333</td></tr><tr><td>MinVolume</td><td>13.14</td><td>68.27</td><td>81.41</td><td>01:21</td><td>2430469</td><td>28.09e-6</td><td>94.416</td><td>28.11</td><td>33.53</td><td>9.816</td></tr><tr><td>ApproxMinVolume</td><td>13.07</td><td>70.59</td><td>83.66</td><td>01:23</td><td>2441833</td><td>28.91e-6</td><td>94.417</td><td>29.07</td><td>34.45</td><td>9.861</td></tr><tr><td>Recursive</td><td>15.89</td><td>76.69</td><td>92.58</td><td>01:32</td><td>2440441</td><td>31.43e-6</td><td>94.237</td><td>31.58</td><td>38.13</td><td>9.856</td></tr><tr><td>Recursive2</td><td>15.79</td><td>84.31</td><td>100.1</td><td>01:40</td><td>2644115</td><td>31.89e-6</td><td>94.237</td><td>34.72</td><td>41.23</td><td>10.68</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>35.00e-6</td><td>130831</td><td>130831</td><td>1-12:20:31</td><td>12623689740</td><td>10.36e-6</td><td>111.53</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>97.43</td><td>36906</td><td>37003</td><td>10:16:43</td><td>697571515</td><td>52.91e-6</td><td>108.86</td><td>28.21</td><td>28.28</td><td>5.526</td></tr><tr><td>MinVariance</td><td>102.1</td><td>48144</td><td>48246</td><td>13:24:06</td><td>897835783</td><td>53.62e-6</td><td>108.99</td><td>36.80</td><td>36.88</td><td>7.112</td></tr><tr><td>BSplines</td><td>98.42</td><td>410056</td><td>410056</td><td>4-17:54:16</td><td>7869407337</td><td>52.11e-6</td><td>110.49</td><td>313.4</td><td>313.4</td><td>62.34</td></tr><tr><td>MinNorm</td><td>102.0</td><td>41743</td><td>41845</td><td>11:37:25</td><td>790432719</td><td>52.81e-6</td><td>108.92</td><td>31.91</td><td>31.98</td><td>6.262</td></tr><tr><td>MinVolume</td><td>100.6</td><td>58935</td><td>59036</td><td>16:23:56</td><td>1136682111</td><td>51.85e-6</td><td>109.10</td><td>45.05</td><td>45.12</td><td>9.004</td></tr><tr><td>ApproxMinVolume</td><td>97.78</td><td>60880</td><td>60978</td><td>16:56:18</td><td>1145758167</td><td>53.14e-6</td><td>109.10</td><td>46.53</td><td>46.61</td><td>9.076</td></tr><tr><td>Recursive</td><td>97.68</td><td>64078</td><td>64176</td><td>17:49:36</td><td>1198810095</td><td>53.45e-6</td><td>108.86</td><td>48.98</td><td>49.05</td><td>9.497</td></tr><tr><td>Recursive2</td><td>97.08</td><td>54870</td><td>54967</td><td>15:16:07</td><td>1035709007</td><td>52.98e-6</td><td>108.86</td><td>41.94</td><td>42.01</td><td>8.204</td></tr></tbody></table>
<table><caption>Table 28: Bissection of problem 2D with problem: 18, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time_per_iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="18">0.001</td><td rowspan="12">2</td><td>Interval</td><td>33.86e-6</td><td>3.524e-3</td><td>3.558e-3</td><td>0.004</td><td>159</td><td>22.16e-6</td><td>53.397</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>845.4e-3</td><td>3.615e-3</td><td>849.1e-3</td><td>0.849</td><td>159</td><td>22.74e-6</td><td>53.397</td><td>102.6</td><td>23864.2</td><td>100.0</td></tr><tr><td>MinVariance</td><td>938.1e-3</td><td>3.988e-3</td><td>942.1e-3</td><td>0.942</td><td>183</td><td>21.79e-6</td><td>53.400</td><td>113.2</td><td>26479.7</td><td>115.1</td></tr><tr><td>BSplines</td><td>864.9e-3</td><td>4.343e-3</td><td>869.3e-3</td><td>0.869</td><td>391</td><td>11.11e-6</td><td>53.486</td><td>123.2</td><td>24431.6</td><td>245.9</td></tr><tr><td>MinNorm</td><td>883.9e-3</td><td>3.612e-3</td><td>887.6e-3</td><td>0.888</td><td>179</td><td>20.18e-6</td><td>53.398</td><td>102.5</td><td>24946.3</td><td>112.6</td></tr><tr><td>MinVolume</td><td>895.2e-3</td><td>3.794e-3</td><td>899.1e-3</td><td>0.899</td><td>207</td><td>18.33e-6</td><td>53.402</td><td>107.7</td><td>25269.0</td><td>130.2</td></tr><tr><td>ApproxMinVolume</td><td>797.8e-3</td><td>3.821e-3</td><td>801.6e-3</td><td>0.802</td><td>207</td><td>18.46e-6</td><td>53.402</td><td>108.4</td><td>22530.3</td><td>130.2</td></tr><tr><td>Recursive</td><td>762.9e-3</td><td>3.896e-3</td><td>766.8e-3</td><td>0.767</td><td>175</td><td>22.26e-6</td><td>53.397</td><td>110.6</td><td>21553.0</td><td>110.1</td></tr><tr><td>Recursive2</td><td>855.9e-3</td><td>3.462e-3</td><td>859.4e-3</td><td>0.859</td><td>179</td><td>19.34e-6</td><td>53.397</td><td>98.23</td><td>24154.3</td><td>112.6</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>697.9e-3</td><td>698.0e-3</td><td>0.698</td><td>83677</td><td>8.341e-6</td><td>64.042</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.415</td><td>562.0e-3</td><td>3.977</td><td>3.977</td><td>44791</td><td>12.55e-6</td><td>64.037</td><td>80.52</td><td>569.7</td><td>53.53</td></tr><tr><td>MinVariance</td><td>4.665</td><td>703.4e-3</td><td>5.368</td><td>5.368</td><td>53905</td><td>13.05e-6</td><td>64.041</td><td>100.8</td><td>769.1</td><td>64.42</td></tr><tr><td>BSplines</td><td>3.564</td><td>2.401</td><td>5.965</td><td>5.965</td><td>197089</td><td>12.18e-6</td><td>64.137</td><td>344.1</td><td>854.6</td><td>235.5</td></tr><tr><td>MinNorm</td><td>4.522</td><td>626.5e-3</td><td>5.149</td><td>5.149</td><td>49279</td><td>12.71e-6</td><td>64.039</td><td>89.76</td><td>737.7</td><td>58.89</td></tr><tr><td>MinVolume</td><td>3.978</td><td>777.3e-3</td><td>4.756</td><td>4.756</td><td>61811</td><td>12.58e-6</td><td>64.045</td><td>111.4</td><td>681.4</td><td>73.87</td></tr><tr><td>ApproxMinVolume</td><td>3.970</td><td>772.9e-3</td><td>4.743</td><td>4.743</td><td>62071</td><td>12.45e-6</td><td>64.045</td><td>110.7</td><td>679.6</td><td>74.18</td></tr><tr><td>Recursive</td><td>3.871</td><td>589.0e-3</td><td>4.460</td><td>4.460</td><td>47183</td><td>12.48e-6</td><td>64.037</td><td>84.40</td><td>639.0</td><td>56.39</td></tr><tr><td>Recursive2</td><td>4.379</td><td>588.2e-3</td><td>4.967</td><td>4.967</td><td>45353</td><td>12.97e-6</td><td>64.037</td><td>84.28</td><td>711.7</td><td>54.20</td></tr><tr><td rowspan="12">3</td><td>Interval</td><td>25.99e-6</td><td>948.9</td><td>948.9</td><td>15.48</td><td>104660775</td><td>9.066e-6</td><td>55.997</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.49</td><td>411.4</td><td>422.9</td><td>07.02</td><td>14375207</td><td>28.62e-6</td><td>55.850</td><td>43.36</td><td>44.57</td><td>13.74</td></tr><tr><td>MinVariance</td><td>15.20</td><td>573.9</td><td>589.1</td><td>09.49</td><td>17846991</td><td>32.15e-6</td><td>55.862</td><td>60.48</td><td>62.08</td><td>17.05</td></tr><tr><td>BSplines</td><td>11.94</td><td>2949</td><td>2961</td><td>49.21</td><td>98077069</td><td>30.07e-6</td><td>56.000</td><td>310.8</td><td>312.1</td><td>93.71</td></tr><tr><td>MinNorm</td><td>14.89</td><td>475.0</td><td>489.9</td><td>08.09</td><td>16242609</td><td>29.25e-6</td><td>55.857</td><td>50.06</td><td>51.63</td><td>15.52</td></tr><tr><td>MinVolume</td><td>13.23</td><td>669.7</td><td>682.9</td><td>11.22</td><td>21472161</td><td>31.19e-6</td><td>55.873</td><td>70.57</td><td>71.97</td><td>20.52</td></tr><tr><td>ApproxMinVolume</td><td>13.06</td><td>656.1</td><td>669.2</td><td>11.09</td><td>21564243</td><td>30.43e-6</td><td>55.874</td><td>69.15</td><td>70.52</td><td>20.60</td></tr><tr><td>Recursive</td><td>15.95</td><td>474.9</td><td>490.9</td><td>08.10</td><td>15010869</td><td>31.64e-6</td><td>55.850</td><td>50.05</td><td>51.73</td><td>14.34</td></tr><tr><td>Recursive2</td><td>15.60</td><td>462.5</td><td>478.1</td><td>07.58</td><td>15089753</td><td>30.65e-6</td><td>55.850</td><td>48.75</td><td>50.39</td><td>14.42</td></tr><tr><td>Interval</td><td>28.00e-6</td><td>1350520</td><td>1350520</td><td>15-15:08:40</td><td>121375517999</td><td>11.13e-6</td><td>63.149</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.56</td><td>323217</td><td>323217</td><td>3-17:46:57</td><td>6280505880</td><td>51.46e-6</td><td>62.923</td><td>23.93</td><td>23.93</td><td>5.174</td></tr><tr><td>MinVariance</td><td>77.90</td><td>428194</td><td>428194</td><td>4-22:56:34</td><td>8237514581</td><td>51.98e-6</td><td>62.941</td><td>31.71</td><td>31.71</td><td>6.787</td></tr><tr><td>BSplines</td><td>73.71</td><td>3722210</td><td>3722210</td><td>43-01:56:50</td><td>73456512169</td><td>50.67e-6</td><td>63.145</td><td>275.6</td><td>275.6</td><td>60.52</td></tr><tr><td>MinNorm</td><td>77.17</td><td>374380</td><td>374380</td><td>4-07:59:40</td><td>7265029483</td><td>51.53e-6</td><td>62.933</td><td>27.72</td><td>27.72</td><td>5.986</td></tr><tr><td>MinVolume</td><td>76.33</td><td>532077</td><td>532077</td><td>6-03:47:57</td><td>10483140457</td><td>50.76e-6</td><td>62.957</td><td>39.40</td><td>39.40</td><td>8.637</td></tr><tr><td>ApproxMinVolume</td><td>75.81</td><td>531701</td><td>531701</td><td>6-03:41:41</td><td>10539658705</td><td>50.45e-6</td><td>62.958</td><td>39.37</td><td>39.37</td><td>8.684</td></tr><tr><td>Recursive</td><td>74.04</td><td>348973</td><td>348973</td><td>4-00:56:13</td><td>6806633015</td><td>51.27e-6</td><td>62.923</td><td>25.84</td><td>25.84</td><td>5.608</td></tr><tr><td>Recursive2</td><td>74.20</td><td>333486</td><td>333486</td><td>3-20:38:06</td><td>6482265500</td><td>51.45e-6</td><td>62.923</td><td>24.69</td><td>24.69</td><td>5.341</td></tr><tr><td rowspan="12">4</td><td>Interval</td><td>32.90e-6</td><td>118.3e-3</td><td>118.4e-3</td><td>0.118</td><td>319</td><td>371.0e-6</td><td>54.227</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.259</td><td>7.758e-3</td><td>2.267</td><td>2.267</td><td>291</td><td>26.66e-6</td><td>54.227</td><td>6.555</td><td>1915.2</td><td>91.22</td></tr><tr><td>MinVariance</td><td>2.259</td><td>11.63e-3</td><td>2.271</td><td>2.271</td><td>295</td><td>39.42e-6</td><td>54.246</td><td>9.827</td><td>1918.4</td><td>92.48</td></tr><tr><td>BSplines</td><td>2.260</td><td>12.10e-3</td><td>2.272</td><td>2.272</td><td>551</td><td>21.96e-6</td><td>54.941</td><td>10.23</td><td>1919.0</td><td>172.7</td></tr><tr><td>MinNorm</td><td>2.259</td><td>9.963e-3</td><td>2.269</td><td>2.269</td><td>293</td><td>34.00e-6</td><td>54.237</td><td>8.419</td><td>1917.0</td><td>91.85</td></tr><tr><td>MinVolume</td><td>2.259</td><td>9.081e-3</td><td>2.268</td><td>2.268</td><td>315</td><td>28.83e-6</td><td>54.264</td><td>7.673</td><td>1916.1</td><td>98.75</td></tr><tr><td>ApproxMinVolume</td><td>2.260</td><td>10.79e-3</td><td>2.270</td><td>2.270</td><td>317</td><td>34.02e-6</td><td>54.264</td><td>9.113</td><td>1918.0</td><td>99.37</td></tr><tr><td>Recursive</td><td>1.511</td><td>6.837e-3</td><td>1.518</td><td>1.518</td><td>343</td><td>19.93e-6</td><td>54.227</td><td>5.777</td><td>1828.5</td><td>107.5</td></tr><tr><td>Recursive2</td><td>1.528</td><td>11.09e-3</td><td>1.539</td><td>1.539</td><td>305</td><td>36.36e-6</td><td>54.227</td><td>3.972</td><td>1300.0</td><td>95.61</td></tr><tr><td>Interval</td><td>28.13e-6</td><td>300.6e-3</td><td>300.6e-3</td><td>0.301</td><td>37029</td><td>8.117e-6</td><td>65.393</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.311</td><td>198.3e-3</td><td>3.509</td><td>3.509</td><td>15069</td><td>12.42e-6</td><td>65.347</td><td>65.99</td><td>1167.3</td><td>43.13</td></tr><tr><td>MinVariance</td><td>4.638</td><td>281.2e-3</td><td>4.919</td><td>4.919</td><td>20523</td><td>13.70e-6</td><td>65.380</td><td>93.57</td><td>1636.4</td><td>55.42</td></tr><tr><td>BSplines</td><td>3.540</td><td>1.013</td><td>4.553</td><td>4.553</td><td>77799</td><td>13.02e-6</td><td>66.153</td><td>337.1</td><td>1514.8</td><td>210.1</td></tr><tr><td>MinNorm</td><td>4.511</td><td>224.6e-3</td><td>4.735</td><td>4.735</td><td>17195</td><td>13.06e-6</td><td>65.365</td><td>74.73</td><td>1575.3</td><td>46.44</td></tr><tr><td>MinVolume</td><td>3.933</td><td>306.6e-3</td><td>4.240</td><td>4.240</td><td>23489</td><td>13.05e-6</td><td>65.411</td><td>102.0</td><td>1410.5</td><td>63.43</td></tr><tr><td>ApproxMinVolume</td><td>3.942</td><td>301.3e-3</td><td>4.243</td><td>4.243</td><td>23553</td><td>12.79e-6</td><td>65.412</td><td>100.2</td><td>1411.5</td><td>63.61</td></tr><tr><td>Recursive</td><td>3.756</td><td>239.8e-3</td><td>3.996</td><td>3.996</td><td>18879</td><td>12.70e-6</td><td>65.347</td><td>79.77</td><td>1329.4</td><td>50.98</td></tr><tr><td>Recursive2</td><td>4.326</td><td>209.6e-3</td><td>4.536</td><td>4.536</td><td>16733</td><td>12.53e-6</td><td>65.347</td><td>69.74</td><td>1508.9</td><td>45.19</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>71.99</td><td>71.99</td><td>01:11</td><td>7423905</td><td>9.697e-6</td><td>58.169</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.59</td><td>37.99</td><td>49.58</td><td>49.583</td><td>1309339</td><td>29.01e-6</td><td>56.938</td><td>52.77</td><td>68.88</td><td>17.64</td></tr><tr><td>MinVariance</td><td>15.47</td><td>53.44</td><td>68.91</td><td>01:08</td><td>1607239</td><td>33.25e-6</td><td>57.038</td><td>74.23</td><td>95.73</td><td>21.65</td></tr><tr><td>BSplines</td><td>12.01</td><td>268.4</td><td>280.4</td><td>04:40</td><td>9116619</td><td>29.44e-6</td><td>58.127</td><td>372.8</td><td>389.5</td><td>122.8</td></tr><tr><td>MinNorm</td><td>14.94</td><td>47.42</td><td>62.37</td><td>01:02</td><td>1453903</td><td>32.62e-6</td><td>56.978</td><td>65.88</td><td>86.63</td><td>19.58</td></tr><tr><td>MinVolume</td><td>13.30</td><td>62.51</td><td>75.81</td><td>01:15</td><td>1984227</td><td>31.50e-6</td><td>57.123</td><td>86.83</td><td>105.3</td><td>26.73</td></tr><tr><td>ApproxMinVolume</td><td>13.04</td><td>58.06</td><td>71.10</td><td>01:11</td><td>1994227</td><td>29.11e-6</td><td>57.124</td><td>80.65</td><td>98.77</td><td>26.86</td></tr><tr><td>Recursive</td><td>15.90</td><td>49.92</td><td>65.82</td><td>01:05</td><td>1600277</td><td>31.20e-6</td><td>56.938</td><td>69.35</td><td>91.43</td><td>21.56</td></tr><tr><td>Recursive2</td><td>15.69</td><td>54.47</td><td>70.16</td><td>01:10</td><td>177477</td><td>30.65e-6</td><td>56.938</td><td>75.67</td><td>97.47</td><td>23.94</td></tr><tr><td rowspan="12">5</td><td>Interval</td><td>21.93e-6</td><td>48486</td><td>48486</td><td>13-28:06</td><td>4326690579</td><td>11.21e-6</td><td>66.175</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>96.22</td><td>19798</td><td>19894</td><td>05:31:34</td><td>379042839</td><td>52.23e-6</td><td>64.526</td><td>40.83</td><td>41.03</td><td>8.761</td></tr><tr><td>MinVariance</td><td>101.0</td><td>27574</td><td>27675</td><td>07:41:15</td><td>511592157</td><td>53.90e-6</td><td>64.680</td><td>56.87</td><td>57.08</td><td>11.82</td></tr><tr><td>BSplines</td><td>96.91</td><td>251431</td><td>251431</td><td>2-21:50:31</td><td>4816801329</td><td>52.20e-6</td><td>66.278</td><td>518.6</td><td>518.6</td><td>111.3</td></tr><tr><td>MinNorm</td><td>100.5</td><td>23435</td><td>23536</td><td>06:32:16</td><td>447578831</td><td>52.36e-6</td><td>64.623</td><td>48.33</td><td>48.54</td><td>10.34</td></tr><tr><td>MinVolume</td><td>100.9</td><td>34848</td><td>34949</td><td>09:42:29</td><td>661782405</td><td>52.66e-6</td><td>64.786</td><td>71.87</td><td>72.08</td><td>15.30</td></tr><tr><td>ApproxMinVolume</td><td>100.1</td><td>35079</td><td>35179</td><td>09:46:19</td><td>666118385</td><td>52.66e-6</td><td>64.791</td><td>72.35</td><td>72.56</td><td>15.40</td></tr><tr><td>Recursive</td><td>98.30</td><td>30142</td><td>30240</td><td>08:24:00</td><td>573913681</td><td>52.52e-6</td><td>64.526</td><td>62.17</td><td>62.37</td><td>13.26</td></tr><tr><td>Recursive2</td><td>98.30</td><td>26723</td><td>26821</td><td>07:27:01</td><td>509400055</td><td>52.46e-6</td><td>64.526</td><td>55.12</td><td>55.32</td><td>11.77</td></tr></tbody></table>
<table><caption>Table 29: Bissection of problem 2D with problem: 19, type: MinFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time_per_iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>24.80e-6</td><td>2.949e-3</td><td>2.974e-3</td><td>0.003</td><td>107</td><td>27.56e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>844.5e-3</td><td>3.240e-3</td><td>847.7e-3</td><td>0.848</td><td>69</td><td>46.95e-6</td><td>infeasible</td><td>109.9</td><td>28506.9</td><td>64.49</td></tr><tr><td>MinVariance</td><td>921.0e-3</td><td>3.297e-3</td><td>924.4e-3</td><td>0.924</td><td>63</td><td>52.33e-6</td><td>infeasible</td><td>111.8</td><td>31083.6</td><td>58.88</td></tr><tr><td>BSplines</td><td>863.1e-3</td><td>3.352e-3</td><td>866.5e-3</td><td>0.866</td><td>113</td><td>29.66e-6</td><td>infeasible</td><td>113.7</td><td>29136.8</td><td>105.6</td></tr><tr><td>MinNorm</td><td>890.3e-3</td><td>3.116e-3</td><td>893.4e-3</td><td>0.893</td><td>61</td><td>51.08e-6</td><td>infeasible</td><td>105.7</td><td>30043.7</td><td>57.01</td></tr><tr><td>MinVolume</td><td>887.2e-3</td><td>3.367e-3</td><td>890.6e-3</td><td>0.891</td><td>69</td><td>48.80e-6</td><td>infeasible</td><td>114.2</td><td>29949.3</td><td>64.49</td></tr><tr><td>ApproxMinVolume</td><td>898.6e-3</td><td>3.656e-3</td><td>902.2e-3</td><td>0.902</td><td>69</td><td>52.99e-6</td><td>infeasible</td><td>124.0</td><td>30339.1</td><td>64.49</td></tr><tr><td>Recursive</td><td>871.1e-3</td><td>3.538e-3</td><td>874.7e-3</td><td>0.875</td><td>93</td><td>38.04e-6</td><td>infeasible</td><td>120.0</td><td>29412.7</td><td>86.92</td></tr><tr><td>Recursive2</td><td>868.9e-3</td><td>3.443e-3</td><td>872.3e-3</td><td>0.872</td><td>123</td><td>27.99e-6</td><td>infeasible</td><td>116.8</td><td>29333.3</td><td>115.0</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>187.3e-3</td><td>187.4e-3</td><td>0.187</td><td>24121</td><td>7.766e-6</td><td>44.363</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.377</td><td>183.4e-3</td><td>3.561</td><td>3.561</td><td>14567</td><td>12.59e-6</td><td>44.358</td><td>97.91</td><td>1900.6</td><td>60.39</td></tr><tr><td>MinVariance</td><td>4.682</td><td>240.1e-3</td><td>4.922</td><td>4.922</td><td>17985</td><td>13.35e-6</td><td>44.363</td><td>128.2</td><td>2627.0</td><td>74.56</td></tr><tr><td>BSplines</td><td>3.611</td><td>804.4e-3</td><td>4.415</td><td>4.415</td><td>62615</td><td>12.85e-6</td><td>44.451</td><td>429.4</td><td>2356.5</td><td>259.6</td></tr><tr><td>MinNorm</td><td>4.521</td><td>221.0e-3</td><td>4.742</td><td>4.742</td><td>16537</td><td>13.36e-6</td><td>44.361</td><td>118.0</td><td>2530.9</td><td>68.56</td></tr><tr><td>MinVolume</td><td>3.964</td><td>259.2e-3</td><td>4.223</td><td>4.223</td><td>20147</td><td>12.87e-6</td><td>44.367</td><td>138.4</td><td>2254.0</td><td>83.52</td></tr><tr><td>ApproxMinVolume</td><td>3.948</td><td>258.8e-3</td><td>4.207</td><td>4.207</td><td>20169</td><td>12.83e-6</td><td>44.367</td><td>138.2</td><td>2245.2</td><td>83.62</td></tr><tr><td>Recursive</td><td>3.857</td><td>203.6e-3</td><td>4.061</td><td>4.061</td><td>15657</td><td>13.01e-6</td><td>44.358</td><td>108.7</td><td>2167.4</td><td>64.91</td></tr><tr><td>Recursive2</td><td>4.357</td><td>211.8e-3</td><td>4.569</td><td>4.569</td><td>15263</td><td>13.88e-6</td><td>44.358</td><td>113.1</td><td>2438.5</td><td>63.28</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>33.14e-6</td><td>125.8</td><td>125.8</td><td>02:05</td><td>12487643</td><td>10.08e-6</td><td>33.203</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.52</td><td>83.61</td><td>95.13</td><td>01:35</td><td>2909445</td><td>28.74e-6</td><td>33.151</td><td>66.45</td><td>75.60</td><td>23.30</td></tr><tr><td>MinVariance</td><td>15.26</td><td>118.6</td><td>133.9</td><td>02:13</td><td>3640013</td><td>32.59e-6</td><td>33.159</td><td>94.29</td><td>106.4</td><td>29.15</td></tr><tr><td>BSplines</td><td>11.95</td><td>710.5</td><td>722.4</td><td>12:02</td><td>23725501</td><td>29.95e-6</td><td>33.250</td><td>564.6</td><td>574.1</td><td>190.0</td></tr><tr><td>MinNorm</td><td>14.75</td><td>104.0</td><td>118.8</td><td>01:58</td><td>3257791</td><td>31.94e-6</td><td>33.157</td><td>82.69</td><td>94.41</td><td>26.09</td></tr><tr><td>MinVolume</td><td>13.20</td><td>135.6</td><td>148.8</td><td>02:28</td><td>4378325</td><td>30.98e-6</td><td>33.166</td><td>107.8</td><td>118.3</td><td>35.06</td></tr><tr><td>ApproxMinVolume</td><td>13.17</td><td>139.2</td><td>152.4</td><td>02:32</td><td>4397095</td><td>31.67e-6</td><td>33.166</td><td>110.7</td><td>121.1</td><td>35.21</td></tr><tr><td>Recursive</td><td>15.77</td><td>94.13</td><td>109.9</td><td>01:49</td><td>3000175</td><td>31.38e-6</td><td>33.151</td><td>74.81</td><td>87.35</td><td>24.03</td></tr><tr><td>Recursive2</td><td>15.72</td><td>98.94</td><td>114.7</td><td>01:54</td><td>3124127</td><td>31.67e-6</td><td>33.151</td><td>78.63</td><td>91.13</td><td>25.02</td></tr><tr><td>Interval</td><td>28.00e-6</td><td>1045140</td><td>1045140</td><td>12-02:19:00</td><td>94516209791</td><td>11.06e-6</td><td>31.568</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.83</td><td>944369</td><td>944369</td><td>10-22:19:29</td><td>18658199295</td><td>50.61e-6</td><td>31.442</td><td>90.36</td><td>90.36</td><td>19.74</td></tr><tr><td>MinVariance</td><td>77.42</td><td>1271750</td><td>1271750</td><td>14-17:15:50</td><td>24701965489</td><td>51.48e-6</td><td>31.458</td><td>121.7</td><td>121.7</td><td>26.14</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>73.23</td><td>in progress</td><td>> 60 days</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Bernstein</td><td>77.14</td><td>1094150</td><td>1094150</td><td>12-15:55:50</td><td>21589134760</td><td>50.68e-6</td><td>31.450</td><td>104.7</td><td>104.7</td><td>22.84</td></tr><tr><td>MinNorm</td><td>76.04</td><td>1570110</td><td>1570110</td><td>18-04:08:30</td><td>31298536437</td><td>50.17e-6</td><td>31.472</td><td>150.2</td><td>150.2</td><td>33.11</td></tr><tr><td>MinVolume</td><td>75.01</td><td>1606110</td><td>1606110</td><td>18-14:08:30</td><td>31905223190</td><td>50.34e-6</td><td>31.472</td><td>153.7</td><td>153.7</td><td>33.76</td></tr><tr><td>ApproxMinVolume</td><td>73.90</td><td>979910</td><td>979910</td><td>11-08:11:50</td><td>19445423662</td><td>50.39e-6</td><td>31.442</td><td>93.76</td><td>93.76</td><td>20.57</td></tr><tr><td>Recursive</td><td>74.11</td><td>969590</td><td>969590</td><td>11-05:19:50</td><td>19233961860</td><td>50.41e-6</td><td>31.442</td><td>92.77</td><td>92.77</td><td>20.35</td></tr><tr><td>Recursive2</td><td>30.04e-6</td><td>3.183e-3</td><td>3.213e-3</td><td>0.003</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Bernstein</td><td>1.759</td><td>7.856e-3</td><td>1.766</td><td>1.766</td><td>69</td><td>29.75e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>MinVariance</td><td>910.2e-3</td><td>3.359e-3</td><td>913.6e-3</td><td>0.914</td><td>63</td><td>53.32e-6</td><td>infeasible</td><td>105.5</td><td>28431.7</td><td>58.88</td></tr><tr><td>BSplines</td><td>963.6e-3</td><td>4.260e-3</td><td>967.9e-3</td><td>0.968</td><td>113</td><td>37.70e-6</td><td>infeasible</td><td>133.8</td><td>30121.5</td><td>105.6</td></tr><tr><td>MinNorm</td><td>962.7e-3</td><td>3.566e-3</td><td>966.3e-3</td><td>0.966</td><td>61</td><td>58.46e-6</td><td>infeasible</td><td>112.0</td><td>30072.7</td><td>57.01</td></tr><tr><td>MinVolume</td><td>963.7e-3</td><td>3.084e-3</td><td>966.8e-3</td><td>0.967</td><td>69</td><td>44.69e-6</td><td>infeasible</td><td>96.88</td><td>30087.2</td><td>64.49</td></tr><tr><td>ApproxMinVolume</td><td>963.2e-3</td><td>4.672e-3</td><td>967.9e-3</td><td>0.968</td><td>69</td><td>67.71e-6</td><td>infeasible</td><td>146.8</td><td>30121.5</td><td>64.49</td></tr><tr><td>Recursive</td><td>876.3e-3</td><td>4.347e-3</td><td>879.7e-3</td><td>0.880</td><td>93</td><td>36.96e-6</td><td>infeasible</td><td>108.0</td><td>27379.3</td><td>86.92</td></tr><tr><td>Recursive2</td><td>862.2e-3</td><td>4.339e-3</td><td>866.5e-3</td><td>0.867</td><td>123</td><td>35.28e-6</td><td>infeasible</td><td>136.3</td><td>26968.3</td><td>115.0</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>66.38e-3</td><td>66.41e-3</td><td>0.066</td><td>7721</td><td>8.597e-6</td><td>45.695</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>3.243</td><td>56.15e-3</td><td>3.299</td><td>3.299</td><td>4215</td><td>13.32e-6</td><td>45.365</td><td>84.59</td><td>4968.4</td><td>54.59</td></tr><tr><td>Bernstein</td><td>4.470</td><td>68.52e-3</td><td>4.539</td><td>4.539</td><td>5055</td><td>13.56e-6</td><td>45.400</td><td>103.2</td><td>6834.8</td><td>65.47</td></tr><tr><td>MinVariance</td><td>3.569</td><td>210.7e-3</td><td>3.780</td><td>3.780</td><td>16815</td><td>12.53e-6</td><td>46.398</td><td>317.4</td><td>5692.2</td><td>217.8</td></tr><tr><td>BSplines</td><td>4.539</td><td>64.92e-3</td><td>4.604</td><td>4.604</td><td>4647</td><td>13.97e-6</td><td>45.384</td><td>97.80</td><td>6933.0</td><td>60.19</td></tr><tr><td>MinNorm</td><td>3.916</td><td>74.91e-3</td><td>3.990</td><td>3.990</td><td>5761</td><td>13.00e-6</td><td>45.434</td><td>112.9</td><td>6009.1</td><td>74.61</td></tr><tr><td>MinVolume</td><td>3.952</td><td>75.91e-3</td><td>4.028</td><td>4.028</td><td>5775</td><td>13.14e-6</td><td>45.435</td><td>114.4</td><td>6065.3</td><td>74.80</td></tr><tr><td>ApproxMinVolume</td><td>3.873</td><td>68.35e-3</td><td>3.941</td><td>3.941</td><td>5339</td><td>12.80e-6</td><td>45.365</td><td>103.0</td><td>5934.8</td><td>69.15</td></tr><tr><td>Recursive</td><td>4.315</td><td>66.46e-3</td><td>4.382</td><td>4.382</td><td>4937</td><td>13.46e-6</td><td>45.365</td><td>100.1</td><td>6598.6</td><td>63.94</td></tr><tr><td>Recursive2</td><td>41.96e-6</td><td>25.03</td><td>25.03</td><td>25.028</td><td>2461753</td><td>10.17e-6</td><td>34.408</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Interval</td><td>12.10</td><td>16.73</td><td>28.83</td><td>28.827</td><td>573025</td><td>29.19e-6</td><td>33.973</td><td>66.83</td><td>115.2</td><td>23.28</td></tr><tr><td>Bernstein</td><td>17.31</td><td>23.00</td><td>40.31</td><td>40.309</td><td>696239</td><td>33.03e-6</td><td>34.010</td><td>91.89</td><td>161.1</td><td>28.28</td></tr><tr><td>MinVariance</td><td>12.63</td><td>126.3</td><td>139.0</td><td>02:18</td><td>4120163</td><td>30.66e-6</td><td>34.818</td><td>504.7</td><td>555.2</td><td>167.4</td></tr><tr><td>BSplines</td><td>16.63</td><td>20.54</td><td>37.17</td><td>37.166</td><td>636021</td><td>32.29e-6</td><td>33.994</td><td>82.05</td><td>148.5</td><td>25.84</td></tr><tr><td>MinNorm</td><td>14.15</td><td>26.00</td><td>40.16</td><td>40.156</td><td>830483</td><td>31.31e-6</td><td>34.071</td><td>103.9</td><td>160.4</td><td>33.74</td></tr><tr><td>MinVolume</td><td>13.88</td><td>26.12</td><td>39.99</td><td>39.992</td><td>833749</td><td>31.32e-6</td><td>34.072</td><td>104.3</td><td>159.8</td><td>33.87</td></tr><tr><td>ApproxMinVolume</td><td>16.80</td><td>20.05</td><td>36.85</td><td>36.855</td><td>647213</td><td>30.98e-6</td><td>33.973</td><td>80.12</td><td>147.3</td><td>26.29</td></tr><tr><td>Recursive</td><td>16.76</td><td>23.63</td><td>40.39</td><td>40.392</td><td>779105</td><td>30.34e-6</td><td>33.973</td><td>94.43</td><td>161.4</td><td>31.65</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>30.04e-6</td><td>14006</td><td>14006</td><td>03:53:26</td><td>1298250205</td><td>10.79e-6</td><td>33.874</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>98.48</td><td>19352</td><td>19451</td><td>05:24:11</td><td>361891811</td><td>53.48e-6</td><td>32.826</td><td>138.2</td><td>138.9</td><td>27.88</td></tr><tr><td>MinVariance</td><td>102.3</td><td>24046</td><td>24148</td><td>06:42:28</td><td>445532669</td><td>53.97e-6</td><td>32.947</td><td>171.7</td><td>172.4</td><td>34.32</td></tr><tr><td>BSplines</td><td>98.03</td><td>133692</td><td>133692</td><td>1-13:08:12</td><td>2581066328</td><td>51.80e-6</td><td>34.374</td><td>954.5</td><td>954.5</td><td>198.8</td></tr><tr><td>MinNorm</td><td>101.6</td><td>21640</td><td>21742</td><td>06:02:22</td><td>405310033</td><td>53.39e-6</td><td>32.900</td><td>154.5</td><td>155.2</td><td>31.22</td></tr><tr><td>MinVolume</td><td>99.63</td><td>28653</td><td>28752</td><td>07:59:12</td><td>538340345</td><td>53.22e-6</td><td>33.059</td><td>204.6</td><td>205.3</td><td>41.47</td></tr><tr><td>ApproxMinVolume</td><td>99.50</td><td>29080</td><td>29179</td><td>08:06:19</td><td>540465171</td><td>53.81e-6</td><td>33.061</td><td>207.6</td><td>208.3</td><td>41.63</td></tr><tr><td>Recursive</td><td>97.29</td><td>23523</td><td>23620</td><td>06:33:40</td><td>447194067</td><td>52.60e-6</td><td>32.826</td><td>167.9</td><td>168.6</td><td>34.45</td></tr><tr><td>Recursive2</td><td>97.12</td><td>22104</td><td>22201</td><td>06:10:01</td><td>417961065</td><td>52.89e-6</td><td>32.826</td><td>157.8</td><td>158.5</td><td>32.19</td></tr></tbody></table>
<table><caption>Table 30: Bisection of problem 2D with problem: 1, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time.per.iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>26.94e-6</td><td>6.502e-3</td><td>6.529e-3</td><td>0.007</td><td>697</td><td>9.328e-6</td><td>955.68e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>724.1e-3</td><td>4.147e-3</td><td>728.3e-3</td><td>0.728</td><td>333</td><td>12.45e-6</td><td>951.92e-3</td><td>63.78</td><td>11154.8</td><td>47.78</td></tr><tr><td>MinVariance</td><td>742.3e-3</td><td>3.714e-3</td><td>746.0e-3</td><td>0.746</td><td>337</td><td>11.02e-6</td><td>952.00e-3</td><td>57.12</td><td>11426.6</td><td>48.35</td></tr><tr><td>B SPLines</td><td>726.7e-3</td><td>4.992e-3</td><td>731.7e-3</td><td>0.732</td><td>469</td><td>10.64e-6</td><td>952.86e-3</td><td>76.78</td><td>12070.0</td><td>67.29</td></tr><tr><td>MinNorm</td><td>743.4e-3</td><td>3.761e-3</td><td>747.2e-3</td><td>0.747</td><td>333</td><td>11.29e-6</td><td>951.96e-3</td><td>57.85</td><td>11444.7</td><td>47.78</td></tr><tr><td>MinVolume</td><td>726.5e-3</td><td>4.425e-3</td><td>730.9e-3</td><td>0.731</td><td>349</td><td>12.68e-6</td><td>952.07e-3</td><td>68.06</td><td>11195.4</td><td>50.07</td></tr><tr><td>ApproxMinVolume</td><td>736.0e-3</td><td>3.765e-3</td><td>739.8e-3</td><td>0.740</td><td>351</td><td>10.73e-6</td><td>952.07e-3</td><td>57.91</td><td>11330.8</td><td>50.36</td></tr><tr><td>Recursive</td><td>718.3e-3</td><td>3.854e-3</td><td>722.1e-3</td><td>0.722</td><td>335</td><td>11.50e-6</td><td>951.92e-3</td><td>59.28</td><td>11060.8</td><td>48.06</td></tr><tr><td>Recursive2</td><td>718.6e-3</td><td>3.771e-3</td><td>722.4e-3</td><td>0.722</td><td>337</td><td>11.19e-6</td><td>951.92e-3</td><td>58.00</td><td>11065.1</td><td>48.35</td></tr><tr><td>Interval</td><td>31.95e-6</td><td>1.091</td><td>1.091</td><td>1.091</td><td>158835</td><td>6.869e-6</td><td>656.18e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.225</td><td>249.9e-3</td><td>1.474</td><td>1.474</td><td>46343</td><td>5.392e-6</td><td>653.31e-3</td><td>22.90</td><td>135.1</td><td>29.18</td></tr><tr><td>MinVariance</td><td>1.391</td><td>273.4e-3</td><td>1.665</td><td>1.665</td><td>48519</td><td>5.634e-6</td><td>653.39e-3</td><td>25.06</td><td>152.6</td><td>30.55</td></tr><tr><td>B SPLines</td><td>1.230</td><td>383.3e-3</td><td>1.613</td><td>1.613</td><td>78885</td><td>4.859e-6</td><td>654.29e-3</td><td>35.13</td><td>147.9</td><td>49.66</td></tr><tr><td>MinNorm</td><td>1.380</td><td>261.7e-3</td><td>1.642</td><td>1.642</td><td>47471</td><td>5.513e-6</td><td>653.35e-3</td><td>23.99</td><td>150.5</td><td>29.89</td></tr><tr><td>MinVolume</td><td>1.311</td><td>274.6e-3</td><td>1.585</td><td>1.585</td><td>50725</td><td>5.414e-6</td><td>653.46e-3</td><td>25.17</td><td>145.3</td><td>31.94</td></tr><tr><td>ApproxMinVolume</td><td>1.279</td><td>262.8e-3</td><td>1.542</td><td>1.542</td><td>50805</td><td>5.172e-6</td><td>653.46e-3</td><td>24.09</td><td>141.3</td><td>31.99</td></tr><tr><td>Recursive</td><td>1.233</td><td>251.9e-3</td><td>1.485</td><td>1.485</td><td>46807</td><td>5.382e-6</td><td>653.31e-3</td><td>23.09</td><td>136.1</td><td>29.47</td></tr><tr><td>Recursive2</td><td>1.221</td><td>252.1e-3</td><td>1.473</td><td>1.473</td><td>46685</td><td>5.401e-6</td><td>653.31e-3</td><td>23.11</td><td>135.0</td><td>29.39</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>30.04e-6</td><td>151.1</td><td>151.1</td><td>02:31</td><td>18306999</td><td>8.254e-6</td><td>546.04e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.864</td><td>56.02</td><td>59.89</td><td>59.886</td><td>4338387</td><td>12.91e-6</td><td>543.02e-3</td><td>37.08</td><td>39.63</td><td>23.70</td></tr><tr><td>MinVariance</td><td>4.801</td><td>63.00</td><td>67.80</td><td>01:07</td><td>4594645</td><td>13.71e-6</td><td>543.10e-3</td><td>41.69</td><td>44.87</td><td>25.10</td></tr><tr><td>B SPLines</td><td>3.878</td><td>100.2</td><td>104.1</td><td>01:44</td><td>8350851</td><td>12.00e-6</td><td>544.03e-3</td><td>66.34</td><td>68.91</td><td>45.62</td></tr><tr><td>MinNorm</td><td>4.603</td><td>62.33</td><td>66.93</td><td>01:06</td><td>4475875</td><td>13.93e-6</td><td>543.06e-3</td><td>41.25</td><td>44.30</td><td>24.45</td></tr><tr><td>MinVolume</td><td>4.147</td><td>63.09</td><td>67.24</td><td>01:07</td><td>4845007</td><td>13.02e-6</td><td>543.17e-3</td><td>41.75</td><td>44.50</td><td>26.47</td></tr><tr><td>ApproxMinVolume</td><td>4.345</td><td>64.51</td><td>68.85</td><td>01:08</td><td>4851817</td><td>13.30e-6</td><td>543.18e-3</td><td>42.69</td><td>45.57</td><td>26.50</td></tr><tr><td>Recursive</td><td>3.943</td><td>56.22</td><td>60.16</td><td>01:00</td><td>4356289</td><td>12.91e-6</td><td>543.02e-3</td><td>37.21</td><td>39.81</td><td>23.80</td></tr><tr><td>Recursive2</td><td>3.905</td><td>56.02</td><td>59.92</td><td>59.923</td><td>4345647</td><td>12.89e-6</td><td>543.02e-3</td><td>37.07</td><td>39.66</td><td>23.74</td></tr><tr><td>Interval</td><td>28.13e-6</td><td>26809</td><td>26809</td><td>07:26:49</td><td>2148335555</td><td>12.48e-6</td><td>463.96e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>57.35</td><td>17105</td><td>17162</td><td>04:46:02</td><td>486345955</td><td>35.17e-6</td><td>461.15e-3</td><td>63.80</td><td>64.02</td><td>22.64</td></tr><tr><td>MinVariance</td><td>60.66</td><td>18672</td><td>18733</td><td>05:12:13</td><td>516339805</td><td>36.16e-6</td><td>461.22e-3</td><td>69.65</td><td>69.88</td><td>24.03</td></tr><tr><td>B SPLines</td><td>57.61</td><td>31120</td><td>31178</td><td>08:39:38</td><td>969173347</td><td>32.11e-6</td><td>462.14e-3</td><td>116.1</td><td>116.3</td><td>45.11</td></tr><tr><td>MinNorm</td><td>60.20</td><td>18592</td><td>18653</td><td>05:10:53</td><td>502490929</td><td>37.00e-6</td><td>461.19e-3</td><td>69.35</td><td>69.58</td><td>23.39</td></tr><tr><td>MinVolume</td><td>57.73</td><td>18979</td><td>19036</td><td>05:17:16</td><td>546007229</td><td>34.76e-6</td><td>461.30e-3</td><td>70.79</td><td>71.01</td><td>25.42</td></tr><tr><td>ApproxMinVolume</td><td>59.83</td><td>19918</td><td>19978</td><td>05:32:58</td><td>546781515</td><td>36.43e-6</td><td>461.30e-3</td><td>74.29</td><td>74.52</td><td>25.45</td></tr><tr><td>Recursive</td><td>57.67</td><td>17142</td><td>17200</td><td>04:46:40</td><td>487594105</td><td>35.16e-6</td><td>461.15e-3</td><td>63.94</td><td>64.16</td><td>22.70</td></tr><tr><td>Recursive2</td><td>57.36</td><td>17053</td><td>17110</td><td>04:45:10</td><td>486650021</td><td>35.04e-6</td><td>461.15e-3</td><td>63.61</td><td>63.82</td><td>22.65</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>39.82e-6</td><td>8.453e-3</td><td>8.493e-3</td><td>0.008</td><td>1129</td><td>7.487e-6</td><td>1.1075</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>723.1e-3</td><td>5.982e-3</td><td>729.1e-3</td><td>0.729</td><td>663</td><td>9.023e-6</td><td>1.0801</td><td>70.77</td><td>8585.2</td><td>58.72</td></tr><tr><td>MinVariance</td><td>742.4e-3</td><td>4.533e-3</td><td>747.0e-3</td><td>0.747</td><td>697</td><td>6.504e-6</td><td>1.0808</td><td>55.63</td><td>8795.2</td><td>61.74</td></tr><tr><td>B SPLines</td><td>738.6e-3</td><td>5.618e-3</td><td>744.2e-3</td><td>0.744</td><td>839</td><td>6.696e-6</td><td>1.0884</td><td>66.46</td><td>8763.0</td><td>74.31</td></tr><tr><td>MinNorm</td><td>787.2e-3</td><td>4.945e-3</td><td>792.1e-3</td><td>0.792</td><td>673</td><td>7.347e-6</td><td>1.0804</td><td>58.50</td><td>9327.1</td><td>59.61</td></tr><tr><td>MinVolume</td><td>706.9e-3</td><td>7.290e-3</td><td>714.2e-3</td><td>0.714</td><td>713</td><td>10.22e-6</td><td>1.0814</td><td>86.24</td><td>8409.1</td><td>63.15</td></tr><tr><td>ApproxMinVolume</td><td>1.338</td><td>15.86e-3</td><td>1.354</td><td>1.354</td><td>713</td><td>22.24e-6</td><td>1.0814</td><td>187.6</td><td>15938.4</td><td>63.15</td></tr><tr><td>Recursive</td><td>1.948</td><td>12.24e-3</td><td>1.960</td><td>1.960</td><td>669</td><td>18.30e-6</td><td>1.0801</td><td>144.9</td><td>23082.2</td><td>59.26</td></tr><tr><td>Recursive2</td><td>1.938</td><td>4.633e-3</td><td>1.942</td><td>1.942</td><td>675</td><td>6.864e-6</td><td>1.0801</td><td>54.81</td><td>22870.1</td><td>59.79</td></tr><tr><td>Interval</td><td>27.89e-6</td><td>295.8e-3</td><td>295.8e-3</td><td>0.296</td><td>41831</td><td>7.072e-6</td><td>708.82e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.237</td><td>90.32e-3</td><td>1.328</td><td>1.328</td><td>15029</td><td>6.010e-6</td><td>684.89e-3</td><td>30.53</td><td>448.8</td><td>35.93</td></tr><tr><td>MinVariance</td><td>1.380</td><td>95.55e-3</td><td>1.476</td><td>1.476</td><td>15753</td><td>6.065e-6</td><td>685.53e-3</td><td>32.30</td><td>498.9</td><td>37.66</td></tr><tr><td>B SPLines</td><td>1.238</td><td>127.7e-3</td><td>1.366</td><td>1.366</td><td>23709</td><td>5.387e-6</td><td>692.89e-3</td><td>43.18</td><td>461.6</td><td>56.68</td></tr><tr><td>MinNorm</td><td>1.358</td><td>94.46e-3</td><td>1.453</td><td>1.453</td><td>15455</td><td>6.112e-6</td><td>685.24e-3</td><td>31.93</td><td>491.1</td><td>36.95</td></tr><tr><td>MinVolume</td><td>1.300</td><td>96.66e-3</td><td>1.397</td><td>1.397</td><td>16319</td><td>5.923e-6</td><td>686.12e-3</td><td>32.67</td><td>472.2</td><td>39.01</td></tr><tr><td>ApproxMinVolume</td><td>1.314</td><td>96.12e-3</td><td>1.410</td><td>1.410</td><td>16329</td><td>5.886e-6</td><td>686.14e-3</td><td>32.49</td><td>476.7</td><td>39.04</td></tr><tr><td>Recursive</td><td>1.232</td><td>93.29e-3</td><td>1.326</td><td>1.326</td><td>15501</td><td>6.018e-6</td><td>684.89e-3</td><td>31.54</td><td>448.1</td><td>37.06</td></tr><tr><td>Recursive2</td><td>1.243</td><td>92.83e-3</td><td>1.335</td><td>1.335</td><td>15363</td><td>6.043e-6</td><td>684.89e-3</td><td>31.38</td><td>451.4</td><td>36.73</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>28.85e-6</td><td>18.54</td><td>18.54</td><td>18.537</td><td>2243403</td><td>8.263e-6</td><td>600.02e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>4.177</td><td>7.392</td><td>11.57</td><td>11.569</td><td>555975</td><td>13.39e-6</td><td>574.62e-3</td><td>39.88</td><td>62.41</td><td>24.78</td></tr><tr><td>MinVariance</td><td>4.973</td><td>8.355</td><td>13.33</td><td>13.329</td><td>586589</td><td>14.24e-6</td><td>575.28e-3</td><td>45.07</td><td>71.90</td><td>26.15</td></tr><tr><td>B SPLines</td><td>4.166</td><td>12.47</td><td>16.64</td><td>16.635</td><td>1026213</td><td>12.15e-6</td><td>582.96e-3</td><td>67.27</td><td>89.74</td><td>45.74</td></tr><tr><td>MinNorm</td><td>4.768</td><td>8.053</td><td>12.82</td><td>12.821</td><td>572389</td><td>14.07e-6</td><td>574.98e-3</td><td>43.45</td><td>69.17</td><td>25.51</td></tr><tr><td>MinVolume</td><td>4.274</td><td>8.332</td><td>12.61</td><td>12.606</td><td>616473</td><td>13.52e-6</td><td>575.90e-3</td><td>44.95</td><td>68.00</td><td>27.48</td></tr><tr><td>ApproxMinVolume</td><td>4.434</td><td>8.308</td><td>12.74</td><td>12.742</td><td>617395</td><td>13.46e-6</td><td>575.91e-3</td><td>44.82</td><td>68.74</td><td>27.52</td></tr><tr><td>Recursive</td><td>4.087</td><td>7.352</td><td>11.44</td><td>11.439</td><td>568277</td><td>12.94e-6</td><td>574.62e-3</td><td>39.66</td><td>61.71</td><td>25.33</td></tr><tr><td>Recursive2</td><td>3.905</td><td>7.278</td><td>11.18</td><td>11.183</td><td>562573</td><td>12.94e-6</td><td>574.62e-3</td><td>39.26</td><td>60.33</td><td>25.08</td></tr><tr><td>Interval</td><td>36.95e-6</td><td>1124</td><td>1124</td><td>18:44</td><td>112981657</td><td>9.953e-6</td><td>518.93e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>75.78</td><td>804.5</td><td>880.2</td><td>14:40</td><td>22820037</td><td>35.25e-6</td><td>494.87e-3</td><td>71.54</td><td>78.28</td><td>20.20</td></tr><tr><td>MinVariance</td><td>80.00</td><td>879.4</td><td>959.4</td><td>15:59</td><td>24290253</td><td>36.20e-6</td><td>495.51e-3</td><td>78.20</td><td>85.32</td><td>21.50</td></tr><tr><td>B SPLines</td><td>78.24</td><td>1503</td><td>1581</td><td>26:21</td><td>47132137</td><td>31.90e-6</td><td>503.11e-3</td><td>133.7</td><td>140.6</td><td>41.72</td></tr><tr><td>MinNorm</td><td>80.05</td><td>870.3</td><td>950.3</td><td>15:50</td><td>23608125</td><td>36.86e-6</td><td>495.22e-3</td><td>77.39</td><td>84.51</td><td>20.90</td></tr><tr><td>MinVolume</td><td>78.64</td><td>920.0</td><td>998.6</td><td>16:38</td><td>25768687</td><td>35.70e-6</td><td>496.13e-3</td><td>81.81</td><td>88.80</td><td>22.81</td></tr><tr><td>ApproxMinVolume</td><td>78.94</td><td>915.4</td><td>994.3</td><td>16:34</td><td>25806787</td><td>35.47e-6</td><td>496.14e-3</td><td>81.40</td><td>88.42</td><td>22.84</td></tr><tr><td>Recursive</td><td>77.90</td><td>819.5</td><td>897.4</td><td>14:57</td><td>23271949</td><td>35.21e-6</td><td>494.87e-3</td><td>72.87</td><td>79.80</td><td>20.60</td></tr><tr><td>Recursive2</td><td>76.76</td><td>814.2</td><td>890.9</td><td>14:50</td><td>22992093</td><td>35.41e-6</td><td>494.87e-3</td><td>72.40</td><td>79.23</td><td>20.35</td></tr></tbody></table>
<table><caption>Table 31: Bisection of problem 2D with problem: 2, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time.per iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>30.99e-6</td><td>22.44e-3</td><td>22.47e-3</td><td>0.022</td><td>3437</td><td>6.528e-6</td><td>2.7090</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>726.9e-3</td><td>7.064e-3</td><td>733.9e-3</td><td>0.734</td><td>2105</td><td>3.356e-6</td><td>2.7057</td><td>31.48</td><td>3266.5</td><td>61.25</td></tr><tr><td>MinVariance</td><td>735.1e-3</td><td>8.066e-3</td><td>743.2e-3</td><td>0.743</td><td>2127</td><td>3.792e-6</td><td>2.7058</td><td>35.95</td><td>3307.7</td><td>61.89</td></tr><tr><td>BSplines</td><td>726.1e-3</td><td>8.993e-3</td><td>735.1e-3</td><td>0.735</td><td>2937</td><td>3.062e-6</td><td>2.7073</td><td>40.08</td><td>3271.6</td><td>85.45</td></tr><tr><td>MinNorm</td><td>737.3e-3</td><td>7.605e-3</td><td>744.9e-3</td><td>0.745</td><td>2115</td><td>3.596e-6</td><td>2.7057</td><td>33.89</td><td>3315.1</td><td>61.54</td></tr><tr><td>MinVolume</td><td>691.8e-3</td><td>7.954e-3</td><td>699.7e-3</td><td>0.700</td><td>2197</td><td>3.620e-6</td><td>2.7059</td><td>35.45</td><td>3114.3</td><td>63.92</td></tr><tr><td>ApproxMinVolume</td><td>679.1e-3</td><td>7.757e-3</td><td>686.8e-3</td><td>0.687</td><td>2199</td><td>3.527e-6</td><td>2.7059</td><td>34.57</td><td>3056.9</td><td>63.98</td></tr><tr><td>Recursive</td><td>716.3e-3</td><td>7.435e-3</td><td>723.8e-3</td><td>0.724</td><td>2105</td><td>3.532e-6</td><td>2.7057</td><td>33.14</td><td>3221.2</td><td>61.25</td></tr><tr><td>Recursive2</td><td>731.9e-3</td><td>7.761e-3</td><td>739.7e-3</td><td>0.740</td><td>2105</td><td>3.687e-6</td><td>2.7057</td><td>34.59</td><td>3291.9</td><td>61.25</td></tr><tr><td>Interval</td><td>24.08e-6</td><td>2.508</td><td>2.508</td><td>2.508</td><td>377955</td><td>6.635e-6</td><td>2.4369</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.227</td><td>318.4e-3</td><td>1.545</td><td>1.545</td><td>58309</td><td>5.461e-6</td><td>2.4310</td><td>12.70</td><td>61.61</td><td>15.43</td></tr><tr><td>MinVariance</td><td>1.368</td><td>344.6e-3</td><td>1.713</td><td>1.713</td><td>62051</td><td>5.554e-6</td><td>2.4312</td><td>13.74</td><td>68.31</td><td>16.42</td></tr><tr><td>BSplines</td><td>1.241</td><td>565.0e-3</td><td>1.806</td><td>1.806</td><td>119017</td><td>4.747e-6</td><td>2.4329</td><td>22.53</td><td>72.03</td><td>31.49</td></tr><tr><td>MinNorm</td><td>1.356</td><td>335.1e-3</td><td>1.691</td><td>1.691</td><td>60353</td><td>5.552e-6</td><td>2.4311</td><td>13.36</td><td>67.42</td><td>15.97</td></tr><tr><td>MinVolume</td><td>1.291</td><td>354.8e-3</td><td>1.646</td><td>1.646</td><td>65687</td><td>5.402e-6</td><td>2.4313</td><td>14.15</td><td>65.63</td><td>17.38</td></tr><tr><td>ApproxMinVolume</td><td>1.293</td><td>356.7e-3</td><td>1.650</td><td>1.650</td><td>65769</td><td>5.423e-6</td><td>2.4313</td><td>14.22</td><td>65.79</td><td>17.40</td></tr><tr><td>Recursive</td><td>1.236</td><td>313.8e-3</td><td>1.550</td><td>1.550</td><td>58423</td><td>5.371e-6</td><td>2.4310</td><td>12.51</td><td>61.79</td><td>15.46</td></tr><tr><td>Recursive2</td><td>1.228</td><td>319.6e-3</td><td>1.548</td><td>1.548</td><td>58599</td><td>5.454e-6</td><td>2.4310</td><td>12.74</td><td>61.71</td><td>15.50</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>32.19e-6</td><td>145.1</td><td>145.1</td><td>02:25</td><td>17924341</td><td>8.095e-6</td><td>1.2775</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.962</td><td>55.99</td><td>59.95</td><td>59.951</td><td>4313803</td><td>12.98e-6</td><td>1.2731</td><td>38.59</td><td>41.32</td><td>24.07</td></tr><tr><td>MinVariance</td><td>4.743</td><td>62.23</td><td>66.97</td><td>01:06</td><td>4575395</td><td>13.60e-6</td><td>1.2732</td><td>42.89</td><td>46.16</td><td>25.53</td></tr><tr><td>BSplines</td><td>3.856</td><td>101.2</td><td>105.0</td><td>01:45</td><td>8399807</td><td>12.04e-6</td><td>1.2746</td><td>69.71</td><td>72.37</td><td>46.86</td></tr><tr><td>MinNorm</td><td>4.648</td><td>61.67</td><td>66.32</td><td>01:06</td><td>4454545</td><td>13.84e-6</td><td>1.2731</td><td>42.50</td><td>45.70</td><td>24.85</td></tr><tr><td>MinVolume</td><td>4.143</td><td>62.68</td><td>66.83</td><td>01:06</td><td>4831085</td><td>12.97e-6</td><td>1.2733</td><td>43.20</td><td>46.06</td><td>26.95</td></tr><tr><td>ApproxMinVolume</td><td>4.340</td><td>64.88</td><td>69.22</td><td>01:09</td><td>4837801</td><td>13.41e-6</td><td>1.2733</td><td>44.72</td><td>47.71</td><td>26.99</td></tr><tr><td>Recursive</td><td>3.899</td><td>55.44</td><td>59.34</td><td>59.338</td><td>4326613</td><td>12.81e-6</td><td>1.2731</td><td>38.21</td><td>40.90</td><td>24.14</td></tr><tr><td>Recursive2</td><td>3.907</td><td>55.89</td><td>59.79</td><td>59.794</td><td>4318511</td><td>12.94e-6</td><td>1.2731</td><td>38.52</td><td>41.21</td><td>24.09</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>24.80e-6</td><td>39602</td><td>39602</td><td>11:00:02</td><td>4235700059</td><td>9.350e-6</td><td>1.0796</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>57.95</td><td>35351</td><td>35409</td><td>09:50:09</td><td>1000320153</td><td>35.34e-6</td><td>1.0754</td><td>89.27</td><td>89.41</td><td>23.62</td></tr><tr><td>MinVariance</td><td>60.42</td><td>38665</td><td>38726</td><td>10:45:26</td><td>1062949643</td><td>36.38e-6</td><td>1.0755</td><td>97.63</td><td>97.79</td><td>25.10</td></tr><tr><td>BSplines</td><td>57.69</td><td>64033</td><td>64091</td><td>17:48:11</td><td>2005406867</td><td>31.93e-6</td><td>1.0770</td><td>161.7</td><td>161.8</td><td>47.35</td></tr><tr><td>MinNorm</td><td>60.37</td><td>38206</td><td>38266</td><td>10:37:46</td><td>1034016309</td><td>36.95e-6</td><td>1.0755</td><td>96.47</td><td>96.63</td><td>24.41</td></tr><tr><td>MinVolume</td><td>57.98</td><td>40409</td><td>40467</td><td>11:14:27</td><td>1124851465</td><td>35.92e-6</td><td>1.0757</td><td>102.0</td><td>102.2</td><td>26.56</td></tr><tr><td>ApproxMinVolume</td><td>59.65</td><td>40968</td><td>41028</td><td>11:23:48</td><td>1126470329</td><td>36.37e-6</td><td>1.0757</td><td>103.4</td><td>103.6</td><td>26.59</td></tr><tr><td>Recursive</td><td>57.82</td><td>35812</td><td>35870</td><td>09:57:50</td><td>1001917277</td><td>35.74e-6</td><td>1.0754</td><td>90.43</td><td>90.57</td><td>23.65</td></tr><tr><td>Recursive2</td><td>57.23</td><td>35140</td><td>35197</td><td>09:46:37</td><td>1000589595</td><td>35.12e-6</td><td>1.0754</td><td>88.73</td><td>88.88</td><td>23.62</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>29.09e-6</td><td>7.499e-3</td><td>7.528e-3</td><td>0.008</td><td>595</td><td>12.60e-6</td><td>2.7694</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>727.2e-3</td><td>5.751e-3</td><td>733.0e-3</td><td>0.733</td><td>385</td><td>14.94e-6</td><td>2.7381</td><td>76.69</td><td>9737.0</td><td>64.71</td></tr><tr><td>MinVariance</td><td>746.2e-3</td><td>5.278e-3</td><td>751.5e-3</td><td>0.752</td><td>385</td><td>13.71e-6</td><td>2.7392</td><td>70.38</td><td>9983.2</td><td>64.71</td></tr><tr><td>BSplines</td><td>739.8e-3</td><td>4.830e-3</td><td>744.6e-3</td><td>0.745</td><td>481</td><td>10.04e-6</td><td>2.7517</td><td>64.41</td><td>9891.3</td><td>80.84</td></tr><tr><td>MinNorm</td><td>728.6e-3</td><td>4.044e-3</td><td>732.7e-3</td><td>0.733</td><td>385</td><td>10.50e-6</td><td>2.7387</td><td>53.93</td><td>9732.7</td><td>64.71</td></tr><tr><td>MinVolume</td><td>715.0e-3</td><td>3.638e-3</td><td>718.7e-3</td><td>0.719</td><td>397</td><td>9.164e-6</td><td>2.7402</td><td>48.51</td><td>9546.9</td><td>66.72</td></tr><tr><td>ApproxMinVolume</td><td>721.4e-3</td><td>4.699e-3</td><td>726.1e-3</td><td>0.726</td><td>397</td><td>11.84e-6</td><td>2.7402</td><td>62.66</td><td>9645.3</td><td>66.72</td></tr><tr><td>Recursive</td><td>721.2e-3</td><td>4.713e-3</td><td>726.0e-3</td><td>0.726</td><td>385</td><td>12.24e-6</td><td>2.7381</td><td>62.85</td><td>9643.4</td><td>64.71</td></tr><tr><td>Recursive2</td><td>1.859</td><td>6.230e-3</td><td>1.865</td><td>1.865</td><td>385</td><td>16.18e-6</td><td>2.7381</td><td>83.08</td><td>24772.8</td><td>64.71</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>30.04e-6</td><td>776.9e-3</td><td>776.9e-3</td><td>0.777</td><td>114217</td><td>6.802e-6</td><td>2.5140</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.231</td><td>174.8e-3</td><td>1.405</td><td>1.405</td><td>29605</td><td>5.905e-6</td><td>2.4634</td><td>22.50</td><td>180.9</td><td>25.92</td></tr><tr><td>MinVariance</td><td>1.365</td><td>186.7e-3</td><td>1.551</td><td>1.551</td><td>30991</td><td>6.023e-6</td><td>2.4646</td><td>24.03</td><td>199.7</td><td>27.13</td></tr><tr><td>BSplines</td><td>1.244</td><td>256.1e-3</td><td>1.500</td><td>1.500</td><td>49255</td><td>5.200e-6</td><td>2.4783</td><td>32.97</td><td>193.1</td><td>43.12</td></tr><tr><td>MinNorm</td><td>1.348</td><td>182.0e-3</td><td>1.530</td><td>1.530</td><td>30395</td><td>5.989e-6</td><td>2.4641</td><td>23.43</td><td>196.9</td><td>26.61</td></tr><tr><td>MinVolume</td><td>1.282</td><td>180.0e-3</td><td>1.462</td><td>1.462</td><td>32407</td><td>5.553e-6</td><td>2.4657</td><td>23.16</td><td>188.1</td><td>28.37</td></tr><tr><td>ApproxMinVolume</td><td>1.275</td><td>180.3e-3</td><td>1.455</td><td>1.455</td><td>32451</td><td>5.557e-6</td><td>2.4658</td><td>23.21</td><td>187.3</td><td>28.41</td></tr><tr><td>Recursive</td><td>1.253</td><td>172.1e-3</td><td>1.426</td><td>1.426</td><td>29749</td><td>5.784e-6</td><td>2.4634</td><td>22.15</td><td>183.5</td><td>26.05</td></tr><tr><td>Recursive2</td><td>1.179</td><td>171.6e-3</td><td>1.350</td><td>1.350</td><td>29875</td><td>5.743e-6</td><td>2.4634</td><td>22.09</td><td>173.8</td><td>26.16</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>18.75</td><td>18.75</td><td>18.747</td><td>2316545</td><td>8.093e-6</td><td>1.3554</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.916</td><td>7.760</td><td>11.68</td><td>11.676</td><td>580431</td><td>13.37e-6</td><td>1.3191</td><td>41.39</td><td>62.28</td><td>25.06</td></tr><tr><td>MinVariance</td><td>4.773</td><td>8.900</td><td>13.67</td><td>13.673</td><td>615347</td><td>14.46e-6</td><td>1.3201</td><td>47.47</td><td>72.93</td><td>26.56</td></tr><tr><td>BSplines</td><td>3.890</td><td>13.86</td><td>17.75</td><td>17.752</td><td>1122977</td><td>12.34e-6</td><td>1.3315</td><td>73.95</td><td>94.69</td><td>48.48</td></tr><tr><td>MinNorm</td><td>4.678</td><td>8.521</td><td>13.20</td><td>13.200</td><td>599129</td><td>14.22e-6</td><td>1.3196</td><td>45.45</td><td>70.41</td><td>25.86</td></tr><tr><td>MinVolume</td><td>4.203</td><td>8.759</td><td>12.96</td><td>12.962</td><td>649691</td><td>13.48e-6</td><td>1.3210</td><td>46.72</td><td>69.14</td><td>28.05</td></tr><tr><td>ApproxMinVolume</td><td>4.348</td><td>9.009</td><td>13.36</td><td>13.357</td><td>650613</td><td>13.85e-6</td><td>1.3211</td><td>48.06</td><td>71.25</td><td>28.09</td></tr><tr><td>Recursive</td><td>3.947</td><td>7.855</td><td>11.80</td><td>11.802</td><td>590493</td><td>13.30e-6</td><td>1.3191</td><td>41.90</td><td>62.95</td><td>25.49</td></tr><tr><td>Recursive2</td><td>3.848</td><td>7.845</td><td>11.69</td><td>11.693</td><td>584473</td><td>13.42e-6</td><td>1.3191</td><td>41.85</td><td>62.37</td><td>25.23</td></tr><tr><td rowspan="10">5</td><td rowspan="10">3</td><td>Interval</td><td>33.86e-6</td><td>1563</td><td>1563</td><td>26:03</td><td>169306809</td><td>9.235e-6</td><td>1.1612</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>77.88</td><td>1382</td><td>1460</td><td>24:20</td><td>39202437</td><td>35.27e-6</td><td>1.1267</td><td>88.42</td><td>93.40</td><td>23.15</td></tr><tr><td>MinVariance</td><td>80.85</td><td>1524</td><td>1605</td><td>26:45</td><td>41681105</td><td>36.58e-6</td><td>1.1277</td><td>97.50</td><td>102.7</td><td>24.62</td></tr><tr><td>BSplines</td><td>78.12</td><td>2577</td><td>2655</td><td>44:15</td><td>79703737</td><td>32.34e-6</td><td>1.1391</td><td>164.8</td><td>169.8</td><td>47.08</td></tr><tr><td>MinNorm</td><td>80.70</td><td>1505</td><td>1585</td><td>26:25</td><td>40530951</td><td>37.14e-6</td><td>1.1272</td><td>96.27</td><td>101.4</td><td>23.94</td></tr><tr><td>MinVolume</td><td>78.52</td><td>1581</td><td>1660</td><td>27:40</td><td>44167813</td><td>35.81e-6</td><td>1.1286</td><td>101.2</td><td>106.2</td><td>26.09</td></tr><tr><td>ApproxMinVolume</td><td>79.57</td><td>1591</td><td>1671</td><td>27:51</td><td>44233293</td><td>35.98e-6</td><td>1.1286</td><td>101.8</td><td>106.9</td><td>26.13</td></tr><tr><td>Recursive</td><td>78.30</td><td>1406</td><td>1485</td><td>24:45</td><td>39735983</td><td>35.41e-6</td><td>1.1267</td><td>89.99</td><td>95.00</td><td>23.47</td></tr><tr><td>Recursive2</td><td>76.80</td><td>1379</td><td>1456</td><td>24:16</td><td>39364189</td><td>35.05e-6</td><td>1.1267</td><td>88.25</td><td>93.16</td><td>23.25</td></tr></tbody></table>
<table><caption>Table 32: Bissection of problem 2D with problem: 3, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep_time</th><th>comput_time</th><th>total_time</th><th>(D-H:M:S:ms)</th><th>nb_iter</th><th>time_per_iter</th><th>criteria</th><th>comput_time (%)</th><th>total_time (%)</th><th>nb_iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>25.99e-6</td><td>5.971e-3</td><td>5.997e-3</td><td>0.006</td><td>59</td><td>101.2e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>717.0e-3</td><td>3.075e-3</td><td>720.1e-3</td><td>0.720</td><td>41</td><td>75.00e-6</td><td>infeasible</td><td>51.50</td><td>12007.6</td><td>69.49</td></tr><tr><td>MinVariance</td><td>737.6e-3</td><td>2.683e-3</td><td>740.3e-3</td><td>0.740</td><td>41</td><td>65.44e-6</td><td>infeasible</td><td>44.94</td><td>12345.2</td><td>69.49</td></tr><tr><td>B SPLines</td><td>710.8e-3</td><td>2.867e-3</td><td>713.7e-3</td><td>0.714</td><td>41</td><td>69.93e-6</td><td>infeasible</td><td>48.02</td><td>11901.4</td><td>69.49</td></tr><tr><td>MinNorm</td><td>736.2e-3</td><td>3.316e-3</td><td>739.5e-3</td><td>0.740</td><td>41</td><td>80.88e-6</td><td>infeasible</td><td>55.53</td><td>12331.8</td><td>69.49</td></tr><tr><td>MinVolume</td><td>734.9e-3</td><td>3.071e-3</td><td>738.0e-3</td><td>0.738</td><td>41</td><td>74.90e-6</td><td>infeasible</td><td>51.43</td><td>12306.3</td><td>69.49</td></tr><tr><td>ApproxMinVolume</td><td>730.2e-3</td><td>3.091e-3</td><td>733.3e-3</td><td>0.733</td><td>41</td><td>75.39e-6</td><td>infeasible</td><td>51.76</td><td>12228.7</td><td>69.49</td></tr><tr><td>Recursive</td><td>714.5e-3</td><td>3.139e-3</td><td>717.6e-3</td><td>0.718</td><td>41</td><td>76.56e-6</td><td>infeasible</td><td>52.57</td><td>11966.8</td><td>69.49</td></tr><tr><td>Recursive2</td><td>715.7e-3</td><td>3.297e-3</td><td>719.0e-3</td><td>0.719</td><td>41</td><td>80.42e-6</td><td>infeasible</td><td>55.22</td><td>11990.0</td><td>69.49</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>2.188</td><td>2.188</td><td>2.188</td><td>313367</td><td>6.982e-6</td><td>3.9157</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.218</td><td>379.4e-3</td><td>1.597</td><td>1.597</td><td>82899</td><td>4.576e-6</td><td>3.9108</td><td>17.34</td><td>73.00</td><td>26.45</td></tr><tr><td>MinVariance</td><td>1.377</td><td>417.7e-3</td><td>1.795</td><td>1.795</td><td>88733</td><td>4.707e-6</td><td>3.9110</td><td>19.09</td><td>82.02</td><td>28.32</td></tr><tr><td>B SPLines</td><td>1.211</td><td>697.7e-3</td><td>1.909</td><td>1.909</td><td>176409</td><td>3.955e-6</td><td>3.9131</td><td>31.89</td><td>87.24</td><td>56.29</td></tr><tr><td>MinNorm</td><td>1.362</td><td>408.8e-3</td><td>1.771</td><td>1.771</td><td>86059</td><td>4.751e-6</td><td>3.9109</td><td>18.69</td><td>80.95</td><td>27.46</td></tr><tr><td>MinVolume</td><td>1.296</td><td>437.4e-3</td><td>1.733</td><td>1.733</td><td>94919</td><td>4.608e-6</td><td>3.9111</td><td>19.99</td><td>79.20</td><td>30.29</td></tr><tr><td>ApproxMinVolume</td><td>1.300</td><td>434.4e-3</td><td>1.734</td><td>1.734</td><td>95081</td><td>4.569e-6</td><td>3.9111</td><td>19.85</td><td>79.27</td><td>30.34</td></tr><tr><td>Recursive</td><td>1.212</td><td>365.0e-3</td><td>1.577</td><td>1.577</td><td>82929</td><td>4.401e-6</td><td>3.9108</td><td>16.68</td><td>72.07</td><td>26.46</td></tr><tr><td>Recursive2</td><td>1.238</td><td>405.4e-3</td><td>1.644</td><td>1.644</td><td>83039</td><td>4.882e-6</td><td>3.9108</td><td>18.53</td><td>75.13</td><td>26.50</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>25.03e-6</td><td>1812</td><td>1812</td><td>30.12</td><td>231356227</td><td>7.834e-6</td><td>2.2271</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.893</td><td>297.4</td><td>301.3</td><td>05:01</td><td>21479813</td><td>13.85e-6</td><td>2.2173</td><td>16.41</td><td>16.62</td><td>9.284</td></tr><tr><td>MinVariance</td><td>4.768</td><td>320.2</td><td>325.0</td><td>05:24</td><td>21954871</td><td>14.58e-6</td><td>2.2174</td><td>17.67</td><td>17.93</td><td>9.490</td></tr><tr><td>B SPLines</td><td>3.853</td><td>386.6</td><td>390.4</td><td>06:30</td><td>28325867</td><td>13.65e-6</td><td>2.2193</td><td>21.33</td><td>21.54</td><td>12.24</td></tr><tr><td>MinNorm</td><td>4.647</td><td>316.8</td><td>321.4</td><td>05:21</td><td>21736085</td><td>14.57e-6</td><td>2.2174</td><td>17.48</td><td>17.73</td><td>9.395</td></tr><tr><td>MinVolume</td><td>4.125</td><td>313.5</td><td>317.6</td><td>05:17</td><td>22416747</td><td>13.98e-6</td><td>2.2176</td><td>17.29</td><td>17.52</td><td>9.689</td></tr><tr><td>ApproxMinVolume</td><td>4.329</td><td>312.5</td><td>316.8</td><td>05:16</td><td>22428769</td><td>13.93e-6</td><td>2.2176</td><td>17.24</td><td>17.48</td><td>9.694</td></tr><tr><td>Recursive</td><td>3.937</td><td>295.8</td><td>299.7</td><td>04:59</td><td>21492065</td><td>13.76e-6</td><td>2.2173</td><td>16.32</td><td>16.54</td><td>9.290</td></tr><tr><td>Recursive2</td><td>3.980</td><td>303.0</td><td>307.0</td><td>05:06</td><td>21482741</td><td>14.10e-6</td><td>2.2173</td><td>16.72</td><td>16.94</td><td>9.286</td></tr><tr><td>Interval</td><td>34.81e-6</td><td>46069</td><td>46069</td><td>12:47:49</td><td>4972603415</td><td>9.265e-6</td><td>1.4911</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>57.13</td><td>37266</td><td>37323</td><td>10:22:03</td><td>1066577287</td><td>34.94e-6</td><td>1.4862</td><td>80.89</td><td>81.02</td><td>21.45</td></tr><tr><td>MinVariance</td><td>60.78</td><td>41916</td><td>41977</td><td>11:39:37</td><td>1139403783</td><td>36.79e-6</td><td>1.4864</td><td>90.99</td><td>91.12</td><td>22.91</td></tr><tr><td>B SPLines</td><td>57.72</td><td>71885</td><td>71942</td><td>19:59:02</td><td>2264727657</td><td>31.74e-6</td><td>1.4881</td><td>156.0</td><td>156.2</td><td>45.54</td></tr><tr><td>MinNorm</td><td>60.30</td><td>40410</td><td>40471</td><td>11:14:31</td><td>1105702391</td><td>36.55e-6</td><td>1.4863</td><td>87.72</td><td>87.85</td><td>22.24</td></tr><tr><td>MinVolume</td><td>57.90</td><td>42365</td><td>42423</td><td>11:47:03</td><td>1211712153</td><td>34.96e-6</td><td>1.4865</td><td>91.96</td><td>92.09</td><td>24.37</td></tr><tr><td>ApproxMinVolume</td><td>58.14</td><td>42521</td><td>42579</td><td>11:49:39</td><td>1213605091</td><td>35.04e-6</td><td>1.4865</td><td>92.30</td><td>92.43</td><td>24.41</td></tr><tr><td>Recursive</td><td>57.78</td><td>37954</td><td>38012</td><td>10:33:32</td><td>1068223403</td><td>35.53e-6</td><td>1.4862</td><td>82.39</td><td>82.51</td><td>21.48</td></tr><tr><td>Recursive2</td><td>57.45</td><td>37597</td><td>37655</td><td>10:27:35</td><td>1066834617</td><td>35.24e-6</td><td>1.4862</td><td>81.61</td><td>81.74</td><td>21.45</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>29.09e-6</td><td>2.660e-3</td><td>2.689e-3</td><td>0.003</td><td>59</td><td>45.09e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>668.8e-3</td><td>3.555e-3</td><td>672.4e-3</td><td>0.672</td><td>41</td><td>86.70e-6</td><td>infeasible</td><td>133.6</td><td>25003.5</td><td>69.49</td></tr><tr><td>MinVariance</td><td>687.3e-3</td><td>3.287e-3</td><td>690.6e-3</td><td>0.691</td><td>41</td><td>80.17e-6</td><td>infeasible</td><td>123.6</td><td>25681.2</td><td>69.49</td></tr><tr><td>B SPLines</td><td>786.1e-3</td><td>2.898e-3</td><td>789.0e-3</td><td>0.789</td><td>41</td><td>70.68e-6</td><td>infeasible</td><td>108.9</td><td>29339.6</td><td>69.49</td></tr><tr><td>MinNorm</td><td>685.9e-3</td><td>3.220e-3</td><td>689.1e-3</td><td>0.689</td><td>41</td><td>78.54e-6</td><td>infeasible</td><td>121.1</td><td>25625.0</td><td>69.49</td></tr><tr><td>MinVolume</td><td>723.9e-3</td><td>3.192e-3</td><td>727.2e-3</td><td>0.727</td><td>41</td><td>77.86e-6</td><td>infeasible</td><td>120.0</td><td>27040.5</td><td>69.49</td></tr><tr><td>ApproxMinVolume</td><td>733.4e-3</td><td>2.962e-3</td><td>736.3e-3</td><td>0.736</td><td>41</td><td>72.25e-6</td><td>infeasible</td><td>111.4</td><td>27382.5</td><td>69.49</td></tr><tr><td>Recursive</td><td>715.4e-3</td><td>2.843e-3</td><td>718.3e-3</td><td>0.718</td><td>41</td><td>69.34e-6</td><td>infeasible</td><td>106.9</td><td>26709.7</td><td>69.49</td></tr><tr><td>Recursive2</td><td>709.1e-3</td><td>3.292e-3</td><td>712.4e-3</td><td>0.712</td><td>41</td><td>80.29e-6</td><td>infeasible</td><td>123.8</td><td>26491.0</td><td>69.49</td></tr><tr><td>Interval</td><td>27.18e-6</td><td>287.6e-3</td><td>287.6e-3</td><td>0.288</td><td>40777</td><td>7.053e-6</td><td>3.9989</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.236</td><td>65.55e-3</td><td>1.301</td><td>1.301</td><td>11979</td><td>5.472e-6</td><td>3.9588</td><td>22.79</td><td>452.3</td><td>29.38</td></tr><tr><td>MinVariance</td><td>1.378</td><td>69.10e-3</td><td>1.447</td><td>1.447</td><td>12537</td><td>5.512e-6</td><td>3.9602</td><td>24.02</td><td>503.2</td><td>30.75</td></tr><tr><td>B SPLines</td><td>1.259</td><td>98.28e-3</td><td>1.358</td><td>1.358</td><td>20833</td><td>4.717e-6</td><td>3.9774</td><td>34.17</td><td>472.0</td><td>51.09</td></tr><tr><td>MinNorm</td><td>1.374</td><td>69.16e-3</td><td>1.443</td><td>1.443</td><td>12271</td><td>5.636e-6</td><td>3.9596</td><td>24.05</td><td>501.8</td><td>30.09</td></tr><tr><td>MinVolume</td><td>1.313</td><td>71.64e-3</td><td>1.385</td><td>1.385</td><td>13225</td><td>5.417e-6</td><td>3.9616</td><td>24.91</td><td>481.4</td><td>32.43</td></tr><tr><td>ApproxMinVolume</td><td>1.319</td><td>71.76e-3</td><td>1.391</td><td>1.391</td><td>13243</td><td>5.419e-6</td><td>3.9617</td><td>24.95</td><td>483.7</td><td>32.48</td></tr><tr><td>Recursive</td><td>1.264</td><td>65.27e-3</td><td>1.329</td><td>1.329</td><td>11983</td><td>5.447e-6</td><td>3.9588</td><td>22.69</td><td>462.2</td><td>29.39</td></tr><tr><td>Recursive2</td><td>1.276</td><td>65.85e-3</td><td>1.342</td><td>1.342</td><td>12021</td><td>5.478e-6</td><td>3.9588</td><td>22.90</td><td>466.5</td><td>29.48</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>30.99e-6</td><td>100.4</td><td>100.4</td><td>01:40</td><td>12432805</td><td>8.079e-6</td><td>2.5375</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.894</td><td>14.44</td><td>18.33</td><td>18.331</td><td>962773</td><td>15.00e-6</td><td>2.3014</td><td>14.37</td><td>18.25</td><td>7.744</td></tr><tr><td>MinVariance</td><td>4.778</td><td>15.59</td><td>20.37</td><td>20.372</td><td>1001287</td><td>15.57e-6</td><td>2.3026</td><td>15.52</td><td>20.28</td><td>8.054</td></tr><tr><td>B SPLines</td><td>3.882</td><td>22.09</td><td>25.97</td><td>25.973</td><td>1516589</td><td>14.57e-6</td><td>2.3172</td><td>21.99</td><td>25.86</td><td>12.20</td></tr><tr><td>MinNorm</td><td>4.619</td><td>15.49</td><td>20.11</td><td>20.108</td><td>983659</td><td>15.75e-6</td><td>2.3021</td><td>15.42</td><td>20.02</td><td>7.912</td></tr><tr><td>MinVolume</td><td>3.988</td><td>15.32</td><td>19.31</td><td>19.306</td><td>1038711</td><td>14.75e-6</td><td>2.3038</td><td>15.25</td><td>19.22</td><td>8.355</td></tr><tr><td>ApproxMinVolume</td><td>4.355</td><td>16.28</td><td>20.63</td><td>20.633</td><td>1039649</td><td>15.66e-6</td><td>2.3039</td><td>16.21</td><td>20.54</td><td>8.362</td></tr><tr><td>Recursive</td><td>3.958</td><td>14.86</td><td>18.82</td><td>18.818</td><td>970293</td><td>15.31e-6</td><td>2.3014</td><td>14.79</td><td>18.73</td><td>7.804</td></tr><tr><td>Recursive2</td><td>3.900</td><td>14.74</td><td>18.64</td><td>18.640</td><td>965371</td><td>15.27e-6</td><td>2.3014</td><td>14.67</td><td>18.56</td><td>7.765</td></tr><tr><td>Interval</td><td>32.90e-6</td><td>2029</td><td>2029</td><td>33:49</td><td>203304991</td><td>9.982e-6</td><td>1.5822</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>79.85</td><td>1638</td><td>1718</td><td>28:38</td><td>46148879</td><td>35.52e-6</td><td>1.5430</td><td>80.76</td><td>84.69</td><td>22.70</td></tr><tr><td>MinVariance</td><td>81.93</td><td>1817</td><td>1899</td><td>31:39</td><td>49219861</td><td>36.94e-6</td><td>1.5441</td><td>89.58</td><td>93.62</td><td>24.21</td></tr><tr><td>B SPLines</td><td>78.79</td><td>3043</td><td>3122</td><td>52:02</td><td>96702183</td><td>31.48e-6</td><td>1.5578</td><td>150.0</td><td>153.9</td><td>47.57</td></tr><tr><td>MinNorm</td><td>81.24</td><td>1730</td><td>1811</td><td>30:11</td><td>47791857</td><td>36.21e-6</td><td>1.5436</td><td>85.27</td><td>89.27</td><td>23.51</td></tr><tr><td>MinVolume</td><td>79.48</td><td>1854</td><td>1934</td><td>32:14</td><td>52291685</td><td>35.47e-6</td><td>1.5452</td><td>91.40</td><td>95.31</td><td>25.72</td></tr><tr><td>ApproxMinVolume</td><td>80.76</td><td>1854</td><td>1935</td><td>32:15</td><td>52373087</td><td>35.42e-6</td><td>1.5453</td><td>91.40</td><td>95.38</td><td>25.76</td></tr><tr><td>Recursive</td><td>79.07</td><td>1654</td><td>1733</td><td>28:53</td><td>46681459</td><td>35.44e-6</td><td>1.5430</td><td>81.52</td><td>85.41</td><td>22.96</td></tr><tr><td>Recursive2</td><td>78.41</td><td>1613</td><td>1692</td><td>28:12</td><td>46257725</td><td>34.89e-6</td><td>1.5430</td><td>79.51</td><td>83.38</td><td>22.75</td></tr></tbody></table>
<table><caption>Table 33: Bissection of problem 2D with problem: 4, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time.per.iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="15">0.001</td><td rowspan="10">2</td><td>Interval</td><td>32.19e-6</td><td>24.76e-3</td><td>24.79e-3</td><td>0.025</td><td>3681</td><td>6.727e-6</td><td>1.0755</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>821.1e-3</td><td>8.290e-3</td><td>829.4e-3</td><td>0.829</td><td>1811</td><td>4.582e-6</td><td>1.0716</td><td>33.51</td><td>3345.2</td><td>49.20</td></tr><tr><td>MinVariance</td><td>945.6e-3</td><td>9.899e-3</td><td>955.5e-3</td><td>0.955</td><td>1957</td><td>5.058e-6</td><td>1.0717</td><td>39.98</td><td>3853.7</td><td>53.16</td></tr><tr><td>B SPLines</td><td>867.3e-3</td><td>16.56e-3</td><td>883.8e-3</td><td>0.884</td><td>3709</td><td>4.465e-6</td><td>1.0735</td><td>66.87</td><td>3564.7</td><td>100.8</td></tr><tr><td>MinNorm</td><td>933.5e-3</td><td>9.447e-3</td><td>942.9e-3</td><td>0.943</td><td>1877</td><td>5.033e-6</td><td>1.0717</td><td>38.15</td><td>3803.0</td><td>50.99</td></tr><tr><td>MinVolume</td><td>913.1e-3</td><td>10.70e-3</td><td>923.8e-3</td><td>0.924</td><td>2111</td><td>5.070e-6</td><td>1.0718</td><td>43.22</td><td>3725.9</td><td>57.35</td></tr><tr><td>ApproxMinVolume</td><td>894.2e-3</td><td>10.63e-3</td><td>904.8e-3</td><td>0.905</td><td>2155</td><td>4.934e-6</td><td>1.0718</td><td>42.94</td><td>3649.3</td><td>58.54</td></tr><tr><td>Recursive</td><td>869.2e-3</td><td>9.580e-3</td><td>878.8e-3</td><td>0.879</td><td>1953</td><td>4.905e-6</td><td>1.0716</td><td>38.69</td><td>3544.2</td><td>53.06</td></tr><tr><td>Recursive2</td><td>874.0e-3</td><td>11.45e-3</td><td>885.4e-3</td><td>0.885</td><td>2177</td><td>5.257e-6</td><td>1.0716</td><td>46.22</td><td>3571.1</td><td>59.14</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>2.412</td><td>2.412</td><td>2.412</td><td>338615</td><td>7.123e-6</td><td>741.67e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.040</td><td>1.225</td><td>4.265</td><td>4.265</td><td>114573</td><td>10.69e-6</td><td>738.33e-3</td><td>50.78</td><td>176.8</td><td>33.84</td></tr><tr><td>MinVariance</td><td>4.389</td><td>1.579</td><td>5.968</td><td>5.968</td><td>132839</td><td>11.89e-6</td><td>738.62e-3</td><td>65.47</td><td>247.4</td><td>39.23</td></tr><tr><td>B SPLines</td><td>3.201</td><td>4.745</td><td>7.945</td><td>7.945</td><td>439927</td><td>10.78e-6</td><td>742.24e-3</td><td>196.7</td><td>329.4</td><td>129.9</td></tr><tr><td>MinNorm</td><td>4.228</td><td>1.447</td><td>5.675</td><td>5.675</td><td>124471</td><td>11.63e-6</td><td>738.47e-3</td><td>60.00</td><td>235.3</td><td>36.76</td></tr><tr><td>MinVolume</td><td>3.603</td><td>1.681</td><td>5.284</td><td>5.284</td><td>152079</td><td>11.05e-6</td><td>738.94e-3</td><td>69.70</td><td>219.1</td><td>44.91</td></tr><tr><td>ApproxMinVolume</td><td>3.545</td><td>1.686</td><td>5.232</td><td>5.232</td><td>152539</td><td>11.06e-6</td><td>738.94e-3</td><td>69.92</td><td>216.9</td><td>45.05</td></tr><tr><td>Recursive</td><td>3.468</td><td>1.343</td><td>4.811</td><td>4.811</td><td>124871</td><td>10.76e-6</td><td>738.33e-3</td><td>55.70</td><td>199.5</td><td>36.88</td></tr><tr><td>Recursive2</td><td>3.730</td><td>1.390</td><td>5.120</td><td>5.120</td><td>121037</td><td>11.49e-6</td><td>738.33e-3</td><td>57.64</td><td>212.3</td><td>35.74</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>656.8</td><td>656.8</td><td>10.56</td><td>74476465</td><td>8.819e-6</td><td>621.32e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.989</td><td>332.0</td><td>336.0</td><td>05:35</td><td>19245713</td><td>17.25e-6</td><td>617.74e-3</td><td>50.55</td><td>51.16</td><td>25.84</td></tr><tr><td>MinVariance</td><td>5.146</td><td>410.4</td><td>415.5</td><td>06:55</td><td>23136529</td><td>17.74e-6</td><td>618.08e-3</td><td>62.48</td><td>63.27</td><td>31.07</td></tr><tr><td>B SPLines</td><td>3.993</td><td>1733</td><td>1737</td><td>28:57</td><td>104719931</td><td>16.55e-6</td><td>621.91e-3</td><td>263.9</td><td>264.5</td><td>140.6</td></tr><tr><td>MinNorm</td><td>5.005</td><td>365.3</td><td>370.3</td><td>06:10</td><td>21292973</td><td>17.16e-6</td><td>617.91e-3</td><td>55.63</td><td>56.39</td><td>28.59</td></tr><tr><td>MinVolume</td><td>4.501</td><td>476.5</td><td>481.0</td><td>08:00</td><td>27314957</td><td>17.44e-6</td><td>618.38e-3</td><td>72.55</td><td>73.23</td><td>36.68</td></tr><tr><td>ApproxMinVolume</td><td>4.603</td><td>480.3</td><td>484.9</td><td>08:04</td><td>27411249</td><td>17.52e-6</td><td>618.38e-3</td><td>73.13</td><td>73.83</td><td>36.81</td></tr><tr><td>Recursive</td><td>4.029</td><td>337.6</td><td>341.6</td><td>05:41</td><td>19864619</td><td>16.99e-6</td><td>617.74e-3</td><td>51.40</td><td>52.01</td><td>26.67</td></tr><tr><td>Recursive2</td><td>4.010</td><td>396.0</td><td>400.1</td><td>06:40</td><td>22714937</td><td>17.44e-6</td><td>617.74e-3</td><td>60.30</td><td>60.91</td><td>30.50</td></tr><tr><td>Interval</td><td>25.00e-6</td><td>102808</td><td>102808</td><td>1-04:33:28</td><td>10664656770</td><td>9.640e-6</td><td>529.85e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>54.99</td><td>103739</td><td>103739</td><td>1-04:48:59</td><td>2444578852</td><td>42.44e-6</td><td>526.69e-3</td><td>100.9</td><td>100.9</td><td>22.92</td></tr><tr><td>MinVariance</td><td>59.84</td><td>132181</td><td>132181</td><td>1-12:43:01</td><td>3096099520</td><td>42.69e-6</td><td>527.05e-3</td><td>128.6</td><td>128.6</td><td>29.03</td></tr><tr><td>B SPLines</td><td>55.32</td><td>830854</td><td>830854</td><td>9-14:47:34</td><td>20232268004</td><td>41.07e-6</td><td>531.29e-3</td><td>808.2</td><td>808.2</td><td>189.7</td></tr><tr><td>MinNorm</td><td>59.56</td><td>118243</td><td>118243</td><td>1-08:50:43</td><td>2785568436</td><td>42.45e-6</td><td>526.90e-3</td><td>115.0</td><td>115.0</td><td>26.12</td></tr><tr><td>MinVolume</td><td>57.27</td><td>158940</td><td>158940</td><td>1-20:09:00</td><td>3787983312</td><td>41.96e-6</td><td>527.38e-3</td><td>154.6</td><td>154.6</td><td>35.52</td></tr><tr><td>ApproxMinVolume</td><td>57.32</td><td>158627</td><td>158628</td><td>1-20:03:48</td><td>3815646750</td><td>41.57e-6</td><td>527.39e-3</td><td>154.3</td><td>154.3</td><td>35.78</td></tr><tr><td>Recursive</td><td>54.92</td><td>104408</td><td>104408</td><td>1-05:00:08</td><td>2479552360</td><td>42.11e-6</td><td>526.69e-3</td><td>101.6</td><td>101.6</td><td>23.25</td></tr><tr><td>Recursive2</td><td>55.24</td><td>124938</td><td>124938</td><td>1-10:42:18</td><td>2968497414</td><td>42.09e-6</td><td>526.69e-3</td><td>121.5</td><td>121.5</td><td>27.83</td></tr><tr><td>Interval</td><td>29.80e-6</td><td>8.639e-3</td><td>8.669e-3</td><td>0.009</td><td>975</td><td>8.861e-6</td><td>1.1306</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>813.5e-3</td><td>4.666e-3</td><td>818.2e-3</td><td>0.818</td><td>469</td><td>9.949e-6</td><td>1.0927</td><td>54.01</td><td>9438.2</td><td>48.10</td></tr><tr><td>MinVariance</td><td>916.4e-3</td><td>5.070e-3</td><td>921.5e-3</td><td>0.921</td><td>505</td><td>10.04e-6</td><td>1.0933</td><td>58.69</td><td>10629.8</td><td>51.79</td></tr><tr><td>B SPLines</td><td>769.9e-3</td><td>8.738e-3</td><td>778.6e-3</td><td>0.779</td><td>1137</td><td>7.685e-6</td><td>1.1115</td><td>101.1</td><td>8981.7</td><td>116.6</td></tr><tr><td>MinNorm</td><td>976.5e-3</td><td>5.333e-3</td><td>981.8e-3</td><td>0.982</td><td>479</td><td>11.13e-6</td><td>1.0930</td><td>61.73</td><td>11325.7</td><td>49.13</td></tr><tr><td>MinVolume</td><td>986.8e-3</td><td>5.167e-3</td><td>992.0e-3</td><td>0.992</td><td>567</td><td>9.113e-6</td><td>1.0940</td><td>59.81</td><td>11443.4</td><td>58.15</td></tr><tr><td>ApproxMinVolume</td><td>898.3e-3</td><td>5.214e-3</td><td>903.6e-3</td><td>0.904</td><td>573</td><td>9.099e-6</td><td>1.0940</td><td>60.35</td><td>10423.0</td><td>58.77</td></tr><tr><td>Recursive</td><td>885.6e-3</td><td>5.694e-3</td><td>891.3e-3</td><td>0.891</td><td>611</td><td>9.319e-6</td><td>1.0927</td><td>65.91</td><td>10281.3</td><td>62.67</td></tr><tr><td>Recursive2</td><td>878.0e-3</td><td>6.179e-3</td><td>884.2e-3</td><td>0.884</td><td>789</td><td>7.832e-6</td><td>1.0927</td><td>71.52</td><td>10200.1</td><td>80.92</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>396.2e-3</td><td>396.2e-3</td><td>0.306</td><td>51615</td><td>7.675e-6</td><td>794.69e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.008</td><td>200.0e-3</td><td>3.208</td><td>3.208</td><td>18043</td><td>11.09e-6</td><td>766.06e-3</td><td>50.49</td><td>809.7</td><td>34.96</td></tr><tr><td>MinVariance</td><td>4.424</td><td>248.2e-3</td><td>4.673</td><td>4.673</td><td>20615</td><td>12.04e-6</td><td>768.90e-3</td><td>62.66</td><td>1179.4</td><td>39.94</td></tr><tr><td>B SPLines</td><td>3.175</td><td>869.1e-3</td><td>4.044</td><td>4.044</td><td>77501</td><td>11.21e-6</td><td>797.06e-3</td><td>219.4</td><td>1020.8</td><td>150.2</td></tr><tr><td>MinNorm</td><td>4.255</td><td>234.9e-3</td><td>4.490</td><td>4.490</td><td>19393</td><td>12.11e-6</td><td>768.21e-3</td><td>59.30</td><td>1133.2</td><td>37.57</td></tr><tr><td>MinVolume</td><td>3.637</td><td>284.9e-3</td><td>3.922</td><td>3.922</td><td>23803</td><td>11.07e-6</td><td>770.54e-3</td><td>71.92</td><td>990.0</td><td>46.12</td></tr><tr><td>ApproxMinVolume</td><td>3.579</td><td>277.0e-3</td><td>3.856</td><td>3.856</td><td>24007</td><td>11.54e-6</td><td>770.68e-3</td><td>69.92</td><td>973.3</td><td>46.51</td></tr><tr><td>Recursive</td><td>3.518</td><td>295.0e-3</td><td>3.813</td><td>3.813</td><td>25509</td><td>11.57e-6</td><td>766.06e-3</td><td>74.47</td><td>962.4</td><td>49.42</td></tr><tr><td>Recursive2</td><td>3.742</td><td>284.5e-3</td><td>4.027</td><td>4.027</td><td>24721</td><td>11.51e-6</td><td>766.06e-3</td><td>71.81</td><td>1016.3</td><td>47.89</td></tr><tr><td>Interval</td><td>21.93e-6</td><td>30.96</td><td>30.96</td><td>30.958</td><td>3671039</td><td>8.433e-6</td><td>678.03e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>4.027</td><td>17.47</td><td>21.50</td><td>21.500</td><td>974561</td><td>17.93e-6</td><td>647.64e-3</td><td>56.44</td><td>69.45</td><td>26.55</td></tr><tr><td>MinVariance</td><td>5.238</td><td>20.22</td><td>25.46</td><td>25.463</td><td>1137457</td><td>17.78e-6</td><td>649.64e-3</td><td>65.33</td><td>82.25</td><td>30.98</td></tr><tr><td>B SPLines</td><td>3.989</td><td>102.9</td><td>106.9</td><td>01:46</td><td>5893657</td><td>17.47e-6</td><td>678.47e-3</td><td>332.5</td><td>345.4</td><td>160.5</td></tr><tr><td>MinNorm</td><td>4.993</td><td>18.11</td><td>23.10</td><td>23.099</td><td>1044023</td><td>17.34e-6</td><td>648.77e-3</td><td>58.49</td><td>74.62</td><td>28.44</td></tr><tr><td>MinVolume</td><td>4.503</td><td>24.61</td><td>29.11</td><td>29.111</td><td>1361057</td><td>18.08e-6</td><td>651.67e-3</td><td>79.49</td><td>94.04</td><td>37.08</td></tr><tr><td>ApproxMinVolume</td><td>4.634</td><td>24.23</td><td>28.87</td><td>28.868</td><td>1366759</td><td>17.73e-6</td><td>651.69e-3</td><td>78.28</td><td>93.25</td><td>37.23</td></tr><tr><td>Recursive</td><td>4.088</td><td>28.88</td><td>32.97</td><td>32.972</td><td>1650643</td><td>17.50e-6</td><td>647.64e-3</td><td>93.30</td><td>106.5</td><td>44.96</td></tr><tr><td>Recursive2</td><td>4.109</td><td>40.61</td><td>44.72</td><td>44.721</td><td>2289249</td><td>17.74e-6</td><td>647.64e-3</td><td>131.2</td><td>144.5</td><td>62.36</td></tr><tr><td>Interval</td><td>33.86e-6</td><td>2784</td><td>2784</td><td>46:24</td><td>238094609</td><td>11.70e-6</td><td>587.12e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.52</td><td>2210</td><td>2282</td><td>38:02</td><td>52163893</td><td>42.37e-6</td><td>559.75e-3</td><td>79.37</td><td>81.98</td><td>21.91</td></tr><tr><td>MinVariance</td><td>77.76</td><td>2812</td><td>2890</td><td>48:10</td><td>64090301</td><td>43.88e-6</td><td>562.22e-3</td><td>101.0</td><td>103.8</td><td>26.92</td></tr><tr><td>B SPLines</td><td>72.43</td><td>21342</td><td>21414</td><td>05:56:54</td><td>513123433</td><td>41.59e-6</td><td>595.66e-3</td><td>766.4</td><td>769.0</td><td>215.5</td></tr><tr><td>MinNorm</td><td>77.31</td><td>2427</td><td>2504</td><td>41:44</td><td>57209201</td><td>42.43e-6</td><td>561.16e-3</td><td>87.16</td><td>89.94</td><td>24.03</td></tr><tr><td>MinVolume</td><td>74.87</td><td>3418</td><td>3493</td><td>58:13</td><td>81195589</td><td>42.11e-6</td><td>564.56e-3</td><td>122.8</td><td>125.5</td><td>34.10</td></tr><tr><td>ApproxMinVolume</td><td>75.19</td><td>3418</td><td>3493</td><td>58:13</td><td>81941527</td><td>41.72e-6</td><td>564.77e-3</td><td>122.8</td><td>125.5</td><td>34.42</td></tr><tr><td>Recursive</td><td>72.39</td><td>4183</td><td>4256</td><td>01:10:56</td><td>89951899</td><td>46.51e-6</td><td>559.75e-3</td><td>150.2</td><td>152.8</td><td>37.78</td></tr><tr><td>Recursive2</td><td>73.53</td><td>6679</td><td>6753</td><td>01:52:33</td><td>153842559</td><td>43.42e-6</td><td>559.75e-3</td><td>239.9</td><td>242.5</td><td>64.61</td></tr></tbody></table>
<table><caption>Table 34: Bissection of problem 2D with problem: 5, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time-per.iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>26.94e-6</td><td>15.76e-3</td><td>15.79e-3</td><td>0.016</td><td>2227</td><td>7.077e-6</td><td>2.7566</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>851.0e-3</td><td>7.473e-3</td><td>858.5e-3</td><td>0.859</td><td>1155</td><td>6.470e-6</td><td>2.7533</td><td>47.42</td><td>5438.3</td><td>51.86</td></tr><tr><td>MinVariance</td><td>948.1e-3</td><td>7.155e-3</td><td>955.3e-3</td><td>0.955</td><td>1187</td><td>6.028e-6</td><td>2.7535</td><td>45.40</td><td>6051.1</td><td>53.30</td></tr><tr><td>BSplines</td><td>855.8e-3</td><td>10.40e-3</td><td>866.2e-3</td><td>0.866</td><td>2077</td><td>5.007e-6</td><td>2.7564</td><td>65.99</td><td>5486.9</td><td>93.26</td></tr><tr><td>MinNorm</td><td>921.4e-3</td><td>6.593e-3</td><td>928.1e-3</td><td>0.928</td><td>1173</td><td>5.621e-6</td><td>2.7534</td><td>41.83</td><td>5878.6</td><td>52.67</td></tr><tr><td>MinVolume</td><td>901.1e-3</td><td>7.179e-3</td><td>908.3e-3</td><td>0.908</td><td>1291</td><td>5.561e-6</td><td>2.7536</td><td>45.55</td><td>5753.5</td><td>57.97</td></tr><tr><td>ApproxMinVolume</td><td>890.7e-3</td><td>7.263e-3</td><td>898.0e-3</td><td>0.898</td><td>1291</td><td>5.626e-6</td><td>2.7536</td><td>46.08</td><td>5688.2</td><td>57.97</td></tr><tr><td>Recursive</td><td>882.0e-3</td><td>7.564e-3</td><td>889.6e-3</td><td>0.890</td><td>1245</td><td>6.075e-6</td><td>2.7533</td><td>47.99</td><td>5634.9</td><td>55.90</td></tr><tr><td>Recursive2</td><td>876.5e-3</td><td>7.716e-3</td><td>884.2e-3</td><td>0.884</td><td>1289</td><td>5.986e-6</td><td>2.7533</td><td>48.96</td><td>5600.9</td><td>57.88</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>3.992</td><td>3.992</td><td>3.992</td><td>534053</td><td>7.476e-6</td><td>2.4706</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.980</td><td>1.579</td><td>4.560</td><td>4.560</td><td>144833</td><td>10.90e-6</td><td>2.4646</td><td>39.56</td><td>114.2</td><td>27.12</td></tr><tr><td>MinVariance</td><td>4.411</td><td>1.910</td><td>6.321</td><td>6.321</td><td>164685</td><td>11.60e-6</td><td>2.4649</td><td>47.85</td><td>158.3</td><td>30.84</td></tr><tr><td>BSplines</td><td>3.006</td><td>5.579</td><td>8.585</td><td>8.585</td><td>524291</td><td>10.64e-6</td><td>2.4685</td><td>139.7</td><td>215.0</td><td>98.17</td></tr><tr><td>MinNorm</td><td>4.144</td><td>1.787</td><td>5.931</td><td>5.931</td><td>155785</td><td>11.47e-6</td><td>2.4647</td><td>44.76</td><td>148.6</td><td>29.17</td></tr><tr><td>MinVolume</td><td>3.604</td><td>1.957</td><td>5.561</td><td>5.561</td><td>185863</td><td>10.53e-6</td><td>2.4652</td><td>49.02</td><td>139.3</td><td>34.80</td></tr><tr><td>ApproxMinVolume</td><td>3.563</td><td>1.991</td><td>5.554</td><td>5.554</td><td>186327</td><td>10.69e-6</td><td>2.4652</td><td>49.87</td><td>139.1</td><td>34.89</td></tr><tr><td>Recursive</td><td>3.481</td><td>1.661</td><td>5.142</td><td>5.142</td><td>151527</td><td>10.96e-6</td><td>2.4646</td><td>41.61</td><td>128.8</td><td>28.37</td></tr><tr><td>Recursive2</td><td>3.706</td><td>1.722</td><td>5.427</td><td>5.427</td><td>154091</td><td>11.11e-6</td><td>2.4646</td><td>43.13</td><td>135.9</td><td>29.02</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>29.80e-6</td><td>1035</td><td>1035</td><td>17.15</td><td>128760401</td><td>8.039e-6</td><td>1.4003</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.976</td><td>621.7</td><td>625.6</td><td>10.25</td><td>36466701</td><td>17.05e-6</td><td>1.3955</td><td>60.06</td><td>60.44</td><td>28.32</td></tr><tr><td>MinVariance</td><td>5.143</td><td>766.1</td><td>771.2</td><td>12.51</td><td>43994795</td><td>17.41e-6</td><td>1.3959</td><td>74.01</td><td>74.51</td><td>34.17</td></tr><tr><td>BSplines</td><td>3.975</td><td>3225</td><td>3229</td><td>53.49</td><td>195965275</td><td>16.46e-6</td><td>1.4017</td><td>311.6</td><td>312.0</td><td>152.2</td></tr><tr><td>MinNorm</td><td>5.109</td><td>707.4</td><td>712.5</td><td>11.52</td><td>40524263</td><td>17.46e-6</td><td>1.3957</td><td>68.34</td><td>68.83</td><td>31.47</td></tr><tr><td>MinVolume</td><td>4.482</td><td>895.4</td><td>899.9</td><td>14.59</td><td>52061161</td><td>17.20e-6</td><td>1.3964</td><td>86.51</td><td>86.94</td><td>40.43</td></tr><tr><td>ApproxMinVolume</td><td>4.588</td><td>926.5</td><td>931.1</td><td>15.31</td><td>52231541</td><td>17.74e-6</td><td>1.3964</td><td>89.51</td><td>89.95</td><td>40.56</td></tr><tr><td>Recursive</td><td>4.045</td><td>622.4</td><td>626.5</td><td>10.26</td><td>36743093</td><td>16.94e-6</td><td>1.3955</td><td>60.13</td><td>60.52</td><td>28.54</td></tr><tr><td>Recursive2</td><td>4.032</td><td>700.4</td><td>704.4</td><td>11.44</td><td>39821409</td><td>17.59e-6</td><td>1.3955</td><td>67.66</td><td>68.05</td><td>30.93</td></tr><tr><td>Interval</td><td>27.00e-6</td><td>268804</td><td>268804</td><td>3-02:40:04</td><td>27631246986</td><td>9.728e-6</td><td>1.1860</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>55.16</td><td>313507</td><td>313507</td><td>3-15:05:07</td><td>7564556834</td><td>41.44e-6</td><td>1.1815</td><td>116.6</td><td>116.6</td><td>27.38</td></tr><tr><td>MinVariance</td><td>59.62</td><td>402065</td><td>402066</td><td>4-15:41:06</td><td>9456023571</td><td>42.52e-6</td><td>1.1821</td><td>149.6</td><td>149.6</td><td>34.22</td></tr><tr><td>BSplines</td><td>55.32</td><td>2318310</td><td>2318310</td><td>26-19:58:30</td><td>56382434349</td><td>41.12e-6</td><td>1.1886</td><td>862.5</td><td>862.5</td><td>204.1</td></tr><tr><td>MinNorm</td><td>58.99</td><td>358320</td><td>358320</td><td>4-03:32:00</td><td>8552976789</td><td>41.89e-6</td><td>1.1818</td><td>133.3</td><td>133.3</td><td>30.95</td></tr><tr><td>MinVolume</td><td>56.97</td><td>476356</td><td>476356</td><td>5-12:19:16</td><td>11502913956</td><td>41.41e-6</td><td>1.1826</td><td>177.2</td><td>177.2</td><td>41.63</td></tr><tr><td>ApproxMinVolume</td><td>57.51</td><td>486845</td><td>486845</td><td>5-15:14:05</td><td>11561867436</td><td>42.11e-6</td><td>1.1826</td><td>181.1</td><td>181.1</td><td>41.84</td></tr><tr><td>Recursive</td><td>55.23</td><td>318558</td><td>318558</td><td>3-16:29:18</td><td>7584612182</td><td>42.00e-6</td><td>1.1815</td><td>118.5</td><td>118.5</td><td>27.45</td></tr><tr><td>Recursive2</td><td>55.41</td><td>354670</td><td>354671</td><td>4-02:31:11</td><td>8501932997</td><td>41.72e-6</td><td>1.1815</td><td>131.9</td><td>131.9</td><td>30.77</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>29.80e-6</td><td>6.060e-3</td><td>6.090e-3</td><td>0.006</td><td>635</td><td>9.543e-6</td><td>2.8082</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>861.1e-3</td><td>4.463e-3</td><td>865.6e-3</td><td>0.866</td><td>379</td><td>11.78e-6</td><td>2.7809</td><td>73.64</td><td>14212.8</td><td>59.69</td></tr><tr><td>MinVariance</td><td>944.3e-3</td><td>4.365e-3</td><td>948.7e-3</td><td>0.949</td><td>391</td><td>11.16e-6</td><td>2.7820</td><td>72.03</td><td>15578.0</td><td>61.57</td></tr><tr><td>BSplines</td><td>858.6e-3</td><td>5.584e-3</td><td>864.2e-3</td><td>0.864</td><td>673</td><td>8.297e-6</td><td>2.8057</td><td>92.14</td><td>14190.7</td><td>106.0</td></tr><tr><td>MinNorm</td><td>912.4e-3</td><td>3.962e-3</td><td>916.3e-3</td><td>0.916</td><td>381</td><td>10.40e-6</td><td>2.7815</td><td>65.38</td><td>15046.8</td><td>60.00</td></tr><tr><td>MinVolume</td><td>900.8e-3</td><td>4.753e-3</td><td>905.6e-3</td><td>0.906</td><td>421</td><td>11.29e-6</td><td>2.7830</td><td>78.43</td><td>14870.3</td><td>66.30</td></tr><tr><td>ApproxMinVolume</td><td>903.9e-3</td><td>4.384e-3</td><td>908.2e-3</td><td>0.908</td><td>421</td><td>10.41e-6</td><td>2.7830</td><td>72.34</td><td>14913.9</td><td>66.30</td></tr><tr><td>Recursive</td><td>882.9e-3</td><td>4.881e-3</td><td>887.8e-3</td><td>0.888</td><td>461</td><td>10.59e-6</td><td>2.7809</td><td>80.54</td><td>14578.5</td><td>72.60</td></tr><tr><td>Recursive2</td><td>868.9e-3</td><td>4.721e-3</td><td>873.7e-3</td><td>0.874</td><td>505</td><td>9.349e-6</td><td>2.7809</td><td>77.91</td><td>14346.1</td><td>79.53</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>33.14e-6</td><td>726.9e-3</td><td>727.0e-3</td><td>0.727</td><td>100485</td><td>7.234e-6</td><td>2.5447</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.026</td><td>404.2e-3</td><td>3.430</td><td>3.430</td><td>34487</td><td>11.72e-6</td><td>2.4963</td><td>55.60</td><td>471.8</td><td>34.32</td></tr><tr><td>MinVariance</td><td>4.440</td><td>486.9e-3</td><td>4.927</td><td>4.927</td><td>38617</td><td>12.61e-6</td><td>2.4994</td><td>66.98</td><td>677.8</td><td>38.43</td></tr><tr><td>BSplines</td><td>3.192</td><td>1.271</td><td>4.463</td><td>4.463</td><td>110119</td><td>11.54e-6</td><td>2.5347</td><td>174.8</td><td>613.9</td><td>109.6</td></tr><tr><td>MinNorm</td><td>4.260</td><td>449.3e-3</td><td>4.710</td><td>4.710</td><td>36521</td><td>12.30e-6</td><td>2.4977</td><td>61.80</td><td>647.9</td><td>36.34</td></tr><tr><td>MinVolume</td><td>3.615</td><td>519.4e-3</td><td>4.134</td><td>4.134</td><td>42611</td><td>12.19e-6</td><td>2.5005</td><td>71.45</td><td>568.7</td><td>42.41</td></tr><tr><td>ApproxMinVolume</td><td>3.594</td><td>493.4e-3</td><td>4.087</td><td>4.087</td><td>42757</td><td>11.54e-6</td><td>2.5005</td><td>67.87</td><td>562.2</td><td>42.55</td></tr><tr><td>Recursive</td><td>3.537</td><td>504.0e-3</td><td>4.041</td><td>4.041</td><td>41097</td><td>12.26e-6</td><td>2.4963</td><td>69.34</td><td>555.8</td><td>40.90</td></tr><tr><td>Recursive2</td><td>3.726</td><td>517.8e-3</td><td>4.243</td><td>4.243</td><td>44195</td><td>11.72e-6</td><td>2.4963</td><td>71.23</td><td>583.7</td><td>43.98</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>46.10</td><td>46.10</td><td>46.096</td><td>5555105</td><td>8.298e-6</td><td>1.4800</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>4.052</td><td>27.76</td><td>31.81</td><td>31.809</td><td>1565705</td><td>17.73e-6</td><td>1.4400</td><td>60.22</td><td>69.01</td><td>28.18</td></tr><tr><td>MinVariance</td><td>5.221</td><td>33.52</td><td>38.74</td><td>38.739</td><td>1893689</td><td>17.70e-6</td><td>1.4436</td><td>72.71</td><td>84.04</td><td>34.09</td></tr><tr><td>BSplines</td><td>4.013</td><td>158.0</td><td>162.0</td><td>02.42</td><td>8903247</td><td>17.75e-6</td><td>1.4884</td><td>342.8</td><td>351.5</td><td>160.3</td></tr><tr><td>MinNorm</td><td>5.021</td><td>30.48</td><td>35.50</td><td>35.501</td><td>1741137</td><td>17.51e-6</td><td>1.4422</td><td>66.12</td><td>77.02</td><td>31.34</td></tr><tr><td>MinVolume</td><td>4.461</td><td>39.96</td><td>44.42</td><td>44.417</td><td>2279491</td><td>17.53e-6</td><td>1.4475</td><td>86.68</td><td>96.36</td><td>41.03</td></tr><tr><td>ApproxMinVolume</td><td>4.646</td><td>41.37</td><td>46.02</td><td>46.016</td><td>2296705</td><td>18.01e-6</td><td>1.4475</td><td>89.75</td><td>99.83</td><td>41.34</td></tr><tr><td>Recursive</td><td>4.056</td><td>32.69</td><td>36.75</td><td>36.747</td><td>1876827</td><td>17.42e-6</td><td>1.4400</td><td>70.92</td><td>79.72</td><td>33.79</td></tr><tr><td>Recursive2</td><td>4.000</td><td>48.37</td><td>52.37</td><td>52.367</td><td>2754427</td><td>17.56e-6</td><td>1.4400</td><td>104.9</td><td>113.6</td><td>49.58</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>30.99e-6</td><td>3969</td><td>3969</td><td>01:06:09</td><td>419976939</td><td>9.451e-6</td><td>1.2690</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.69</td><td>4549</td><td>4623</td><td>01:17:03</td><td>108143023</td><td>42.07e-6</td><td>1.2322</td><td>114.6</td><td>116.5</td><td>25.75</td></tr><tr><td>MinVariance</td><td>78.64</td><td>5935</td><td>6014</td><td>01:40:14</td><td>135494661</td><td>43.81e-6</td><td>1.2361</td><td>149.5</td><td>151.5</td><td>32.26</td></tr><tr><td>BSplines</td><td>73.65</td><td>40111</td><td>40185</td><td>11:09:45</td><td>932347931</td><td>43.02e-6</td><td>1.2853</td><td>1010.6</td><td>1012.4</td><td>222.0</td></tr><tr><td>MinNorm</td><td>78.62</td><td>5242</td><td>5320</td><td>01:28:40</td><td>121779057</td><td>43.05e-6</td><td>1.2342</td><td>132.1</td><td>134.1</td><td>29.00</td></tr><tr><td>MinVolume</td><td>75.94</td><td>7175</td><td>7251</td><td>02:00:51</td><td>168394019</td><td>42.61e-6</td><td>1.2396</td><td>180.8</td><td>182.7</td><td>40.10</td></tr><tr><td>ApproxMinVolume</td><td>76.31</td><td>7266</td><td>7343</td><td>02:02:23</td><td>170052169</td><td>42.73e-6</td><td>1.2397</td><td>183.1</td><td>185.0</td><td>40.49</td></tr><tr><td>Recursive</td><td>73.10</td><td>5477</td><td>5550</td><td>01:32:30</td><td>128176393</td><td>42.73e-6</td><td>1.2322</td><td>138.0</td><td>139.8</td><td>30.52</td></tr><tr><td>Recursive2</td><td>73.55</td><td>10646</td><td>10720</td><td>02:58:40</td><td>245595885</td><td>43.35e-6</td><td>1.2322</td><td>268.2</td><td>270.1</td><td>58.48</td></tr></tbody></table>
<table><caption>Table 35: Bissection of problem 2D with problem: 6, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H-M-S.ms)</th><th>nb.iter</th><th>time.per.iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>25.99e-6</td><td>3.508e-3</td><td>3.534e-3</td><td>0.004</td><td>89</td><td>39.42e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>855.0e-3</td><td>3.075e-3</td><td>858.1e-3</td><td>0.858</td><td>65</td><td>47.31e-6</td><td>infeasible</td><td>87.66</td><td>24279.9</td><td>73.03</td></tr><tr><td>MinVariance</td><td>948.8e-3</td><td>3.210e-3</td><td>952.1e-3</td><td>0.952</td><td>61</td><td>52.62e-6</td><td>infeasible</td><td>91.50</td><td>26939.2</td><td>68.54</td></tr><tr><td>BSplines</td><td>870.6e-3</td><td>3.127e-3</td><td>873.7e-3</td><td>0.874</td><td>111</td><td>28.17e-6</td><td>infeasible</td><td>89.14</td><td>24722.0</td><td>124.7</td></tr><tr><td>MinNorm</td><td>919.0e-3</td><td>3.190e-3</td><td>922.2e-3</td><td>0.922</td><td>59</td><td>54.07e-6</td><td>infeasible</td><td>90.93</td><td>26094.1</td><td>66.29</td></tr><tr><td>MinVolume</td><td>903.5e-3</td><td>2.918e-3</td><td>906.5e-3</td><td>0.906</td><td>69</td><td>42.29e-6</td><td>infeasible</td><td>83.18</td><td>25649.0</td><td>77.53</td></tr><tr><td>ApproxMinVolume</td><td>894.0e-3</td><td>3.415e-3</td><td>897.4e-3</td><td>0.897</td><td>69</td><td>49.49e-6</td><td>infeasible</td><td>97.35</td><td>25392.4</td><td>77.53</td></tr><tr><td>Recursive</td><td>867.5e-3</td><td>3.538e-3</td><td>871.1e-3</td><td>0.871</td><td>91</td><td>38.88e-6</td><td>infeasible</td><td>100.9</td><td>24648.1</td><td>102.2</td></tr><tr><td>Recursive2</td><td>873.2e-3</td><td>3.271e-3</td><td>876.4e-3</td><td>0.876</td><td>119</td><td>27.49e-6</td><td>infeasible</td><td>93.24</td><td>24799.9</td><td>133.7</td></tr><tr><td>Interval</td><td>29.09e-6</td><td>2.133</td><td>2.133</td><td>2.133</td><td>296425</td><td>7.197e-6</td><td>4.0146</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.989</td><td>981.1e-3</td><td>3.970</td><td>3.970</td><td>96347</td><td>10.18e-6</td><td>4.0092</td><td>45.99</td><td>186.1</td><td>32.50</td></tr><tr><td>MinVariance</td><td>4.388</td><td>1.249</td><td>5.637</td><td>5.637</td><td>110827</td><td>11.27e-6</td><td>4.0097</td><td>58.52</td><td>264.2</td><td>37.39</td></tr><tr><td>BSplines</td><td>3.142</td><td>3.625</td><td>6.766</td><td>6.766</td><td>353175</td><td>10.26e-6</td><td>4.0148</td><td>169.9</td><td>317.2</td><td>119.1</td></tr><tr><td>MinNorm</td><td>4.237</td><td>1.147</td><td>5.384</td><td>5.384</td><td>103835</td><td>11.05e-6</td><td>4.0093</td><td>53.76</td><td>252.4</td><td>35.03</td></tr><tr><td>MinVolume</td><td>3.586</td><td>1.317</td><td>4.902</td><td>4.902</td><td>125293</td><td>10.51e-6</td><td>4.0102</td><td>61.72</td><td>229.8</td><td>42.27</td></tr><tr><td>ApproxMinVolume</td><td>3.561</td><td>1.374</td><td>4.935</td><td>4.935</td><td>125641</td><td>10.93e-6</td><td>4.0102</td><td>64.39</td><td>231.3</td><td>42.39</td></tr><tr><td>Recursive</td><td>3.506</td><td>1.076</td><td>4.581</td><td>4.581</td><td>99723</td><td>10.79e-6</td><td>4.0092</td><td>50.42</td><td>214.7</td><td>33.64</td></tr><tr><td>Recursive2</td><td>3.711</td><td>1.100</td><td>4.811</td><td>4.811</td><td>100257</td><td>10.97e-6</td><td>4.0092</td><td>51.55</td><td>225.5</td><td>33.82</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>30.99e-6</td><td>1098</td><td>1098</td><td>18:18</td><td>137707139</td><td>7.978e-6</td><td>2.3843</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.996</td><td>136.3</td><td>140.3</td><td>02:20</td><td>7384597</td><td>18.46e-6</td><td>2.3649</td><td>12.41</td><td>12.77</td><td>5.363</td></tr><tr><td>MinVariance</td><td>5.140</td><td>162.8</td><td>167.9</td><td>02:47</td><td>8554199</td><td>19.03e-6</td><td>2.3654</td><td>14.82</td><td>15.29</td><td>6.212</td></tr><tr><td>BSplines</td><td>3.965</td><td>570.1</td><td>574.0</td><td>09:34</td><td>31906287</td><td>17.87e-6</td><td>2.3716</td><td>51.89</td><td>52.25</td><td>23.17</td></tr><tr><td>MinNorm</td><td>5.019</td><td>153.3</td><td>158.3</td><td>02:38</td><td>8023337</td><td>19.10e-6</td><td>2.3653</td><td>13.95</td><td>14.41</td><td>5.826</td></tr><tr><td>MinVolume</td><td>4.565</td><td>186.6</td><td>191.2</td><td>03:11</td><td>9785119</td><td>19.07e-6</td><td>2.3659</td><td>16.99</td><td>17.40</td><td>7.106</td></tr><tr><td>ApproxMinVolume</td><td>4.591</td><td>183.7</td><td>188.3</td><td>03:08</td><td>9810943</td><td>18.73e-6</td><td>2.3659</td><td>16.72</td><td>17.14</td><td>7.124</td></tr><tr><td>Recursive</td><td>4.050</td><td>143.4</td><td>147.4</td><td>02:27</td><td>7716861</td><td>18.58e-6</td><td>2.3649</td><td>13.05</td><td>13.42</td><td>5.604</td></tr><tr><td>Recursive2</td><td>4.053</td><td>145.5</td><td>149.6</td><td>02:29</td><td>7929785</td><td>18.35e-6</td><td>2.3649</td><td>13.25</td><td>13.62</td><td>5.758</td></tr><tr><td>Interval</td><td>27.00e-6</td><td>405792</td><td>405792</td><td>4-16:43:12</td><td>41698312627</td><td>9.732e-6</td><td>1.6158</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>54.92</td><td>442040</td><td>442040</td><td>5-02:47:20</td><td>10525260016</td><td>42.00e-6</td><td>1.6106</td><td>108.9</td><td>108.9</td><td>25.24</td></tr><tr><td>MinVariance</td><td>59.84</td><td>560127</td><td>560127</td><td>6-11:35:27</td><td>13261984483</td><td>42.24e-6</td><td>1.6112</td><td>138.0</td><td>138.0</td><td>31.80</td></tr><tr><td>BSplines</td><td>55.22</td><td>3480110</td><td>3480110</td><td>40:06:41:50</td><td>84542081447</td><td>41.16e-6</td><td>1.6186</td><td>857.6</td><td>857.6</td><td>202.7</td></tr><tr><td>MinNorm</td><td>59.50</td><td>504001</td><td>504001</td><td>5-20:00:01</td><td>11965685782</td><td>42.12e-6</td><td>1.6109</td><td>124.2</td><td>124.2</td><td>28.70</td></tr><tr><td>MinVolume</td><td>57.31</td><td>674935</td><td>674935</td><td>7-19:28:55</td><td>16261873597</td><td>41.50e-6</td><td>1.6118</td><td>166.3</td><td>166.3</td><td>39.00</td></tr><tr><td>ApproxMinVolume</td><td>57.20</td><td>680081</td><td>680081</td><td>7-20:54:41</td><td>16348455509</td><td>41.60e-6</td><td>1.6118</td><td>167.6</td><td>167.6</td><td>39.21</td></tr><tr><td>Recursive</td><td>54.74</td><td>440588</td><td>440588</td><td>5-02:23:08</td><td>10541421976</td><td>41.80e-6</td><td>1.6106</td><td>108.6</td><td>108.6</td><td>25.28</td></tr><tr><td>Recursive2</td><td>54.99</td><td>484821</td><td>484821</td><td>5-14:40:21</td><td>11621586282</td><td>41.72e-6</td><td>1.6106</td><td>119.5</td><td>119.5</td><td>27.87</td></tr><tr><td rowspan="20">5</td><td rowspan="10">4</td><td>Interval</td><td>30.99e-6</td><td>3.143e-3</td><td>3.174e-3</td><td>0.003</td><td>89</td><td>35.31e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>852.0e-3</td><td>3.445e-3</td><td>855.4e-3</td><td>0.855</td><td>65</td><td>53.00e-6</td><td>infeasible</td><td>109.6</td><td>26953.0</td><td>73.03</td></tr><tr><td>MinVariance</td><td>933.4e-3</td><td>3.084e-3</td><td>936.5e-3</td><td>0.936</td><td>61</td><td>50.56e-6</td><td>infeasible</td><td>98.13</td><td>29505.6</td><td>68.54</td></tr><tr><td>BSplines</td><td>855.2e-3</td><td>3.523e-3</td><td>858.8e-3</td><td>0.859</td><td>111</td><td>31.74e-6</td><td>infeasible</td><td>112.1</td><td>27057.7</td><td>124.7</td></tr><tr><td>MinNorm</td><td>927.2e-3</td><td>3.378e-3</td><td>930.6e-3</td><td>0.931</td><td>59</td><td>57.25e-6</td><td>infeasible</td><td>107.5</td><td>29321.1</td><td>66.29</td></tr><tr><td>MinVolume</td><td>942.3e-3</td><td>3.229e-3</td><td>945.5e-3</td><td>0.946</td><td>69</td><td>46.80e-6</td><td>infeasible</td><td>102.7</td><td>29791.9</td><td>77.53</td></tr><tr><td>ApproxMinVolume</td><td>908.4e-3</td><td>3.232e-3</td><td>911.6e-3</td><td>0.912</td><td>69</td><td>46.84e-6</td><td>infeasible</td><td>102.8</td><td>28722.8</td><td>77.53</td></tr><tr><td>Recursive</td><td>869.6e-3</td><td>3.298e-3</td><td>872.9e-3</td><td>0.873</td><td>91</td><td>36.24e-6</td><td>infeasible</td><td>104.9</td><td>27502.9</td><td>102.2</td></tr><tr><td>Recursive2</td><td>873.4e-3</td><td>3.426e-3</td><td>876.8e-3</td><td>0.877</td><td>119</td><td>28.79e-6</td><td>infeasible</td><td>109.0</td><td>27626.5</td><td>133.7</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>262.8e-3</td><td>262.8e-3</td><td>0.263</td><td>35691</td><td>7.363e-6</td><td>4.0953</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.991</td><td>142.6e-3</td><td>3.133</td><td>3.133</td><td>12859</td><td>11.09e-6</td><td>0.4529</td><td>54.28</td><td>1192.1</td><td>36.03</td></tr><tr><td>MinVariance</td><td>4.424</td><td>171.5e-3</td><td>4.595</td><td>4.595</td><td>14453</td><td>11.87e-6</td><td>0.4544</td><td>65.26</td><td>1748.3</td><td>40.49</td></tr><tr><td>BSplines</td><td>3.193</td><td>481.6e-3</td><td>3.674</td><td>3.674</td><td>45133</td><td>10.67e-6</td><td>0.4987</td><td>183.2</td><td>1398.0</td><td>126.5</td></tr><tr><td>MinNorm</td><td>4.222</td><td>158.6e-3</td><td>4.381</td><td>4.381</td><td>13565</td><td>11.69e-6</td><td>0.4537</td><td>60.36</td><td>1666.7</td><td>38.01</td></tr><tr><td>MinVolume</td><td>3.578</td><td>185.1e-3</td><td>3.764</td><td>3.764</td><td>16767</td><td>11.04e-6</td><td>0.4509</td><td>70.43</td><td>1431.9</td><td>46.98</td></tr><tr><td>ApproxMinVolume</td><td>3.616</td><td>192.1e-3</td><td>3.808</td><td>3.808</td><td>16817</td><td>11.42e-6</td><td>0.4509</td><td>73.00</td><td>1448.9</td><td>47.12</td></tr><tr><td>Recursive</td><td>3.513</td><td>176.1e-3</td><td>3.689</td><td>3.689</td><td>15323</td><td>11.49e-6</td><td>0.4529</td><td>66.99</td><td>1403.7</td><td>42.93</td></tr><tr><td>Recursive2</td><td>3.701</td><td>183.4e-3</td><td>3.884</td><td>3.884</td><td>16075</td><td>11.41e-6</td><td>0.4529</td><td>69.80</td><td>1478.0</td><td>45.04</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>123.8</td><td>123.8</td><td>02:03</td><td>14560057</td><td>8.500e-6</td><td>2.6074</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>4.029</td><td>19.42</td><td>23.45</td><td>23.452</td><td>1038455</td><td>18.70e-6</td><td>2.4438</td><td>15.69</td><td>18.95</td><td>7.132</td></tr><tr><td>MinVariance</td><td>5.157</td><td>23.09</td><td>28.24</td><td>28.243</td><td>1220073</td><td>18.92e-6</td><td>2.4487</td><td>18.65</td><td>22.82</td><td>8.380</td></tr><tr><td>BSplines</td><td>3.972</td><td>80.85</td><td>84.82</td><td>01:24</td><td>4533581</td><td>17.83e-6</td><td>2.4946</td><td>65.32</td><td>68.53</td><td>31.14</td></tr><tr><td>MinNorm</td><td>5.042</td><td>21.43</td><td>26.47</td><td>26.467</td><td>1118335</td><td>19.16e-6</td><td>2.4463</td><td>17.31</td><td>21.38</td><td>7.681</td></tr><tr><td>MinVolume</td><td>4.478</td><td>26.15</td><td>30.63</td><td>30.625</td><td>1390943</td><td>18.80e-6</td><td>2.4509</td><td>21.13</td><td>24.74</td><td>9.553</td></tr><tr><td>ApproxMinVolume</td><td>4.600</td><td>25.80</td><td>30.40</td><td>30.404</td><td>1395155</td><td>18.50e-6</td><td>2.4510</td><td>20.85</td><td>24.57</td><td>9.582</td></tr><tr><td>Recursive</td><td>4.022</td><td>23.82</td><td>27.84</td><td>27.838</td><td>1317881</td><td>18.07e-6</td><td>2.4438</td><td>19.24</td><td>22.49</td><td>9.051</td></tr><tr><td>Recursive2</td><td>4.055</td><td>27.91</td><td>31.97</td><td>31.966</td><td>1486525</td><td>18.78e-6</td><td>2.4438</td><td>22.55</td><td>25.83</td><td>10.21</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>32.90e-6</td><td>5334</td><td>5334</td><td>01:28:54</td><td>552015029</td><td>9.664e-6</td><td>1.7103</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.48</td><td>6473</td><td>6545</td><td>01:49:05</td><td>149768043</td><td>43.22e-6</td><td>1.6674</td><td>121.3</td><td>122.7</td><td>27.13</td></tr><tr><td>MinVariance</td><td>77.92</td><td>8162</td><td>8240</td><td>02:17:20</td><td>187719485</td><td>43.48e-6</td><td>1.6722</td><td>153.0</td><td>154.5</td><td>34.01</td></tr><tr><td>BSplines</td><td>73.05</td><td>49584</td><td>49657</td><td>13:47:37</td><td>1165915905</td><td>42.53e-6</td><td>1.7288</td><td>929.5</td><td>930.9</td><td>211.2</td></tr><tr><td>MinNorm</td><td>77.51</td><td>7223</td><td>7301</td><td>02:01:41</td><td>169241603</td><td>42.68e-6</td><td>1.6702</td><td>135.4</td><td>136.9</td><td>30.66</td></tr><tr><td>MinVolume</td><td>75.30</td><td>9778</td><td>9854</td><td>02:44:14</td><td>230353345</td><td>42.45e-6</td><td>1.6761</td><td>183.3</td><td>184.7</td><td>41.73</td></tr><tr><td>ApproxMinVolume</td><td>75.22</td><td>9792</td><td>9867</td><td>02:44:27</td><td>231925331</td><td>42.22e-6</td><td>1.6762</td><td>183.6</td><td>185.0</td><td>42.01</td></tr><tr><td>Recursive</td><td>72.15</td><td>6773</td><td>6845</td><td>01:54:05</td><td>159770339</td><td>42.39e-6</td><td>1.6674</td><td>127.0</td><td>128.3</td><td>28.94</td></tr><tr><td>Recursive2</td><td>72.55</td><td>12787</td><td>12860</td><td>03:34:20</td><td>292924389</td><td>43.66e-6</td><td>1.6674</td><td>239.7</td><td>241.1</td><td>53.06</td></tr></tbody></table>
<table><caption>Table 36: Bissection of problem 2D with problem: 7, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time.per.iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>30.99e-6</td><td>11.03e-3</td><td>11.06e-3</td><td>0.011</td><td>1441</td><td>7.657e-6</td><td>755.10e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>850.5e-3</td><td>6.153e-3</td><td>856.7e-3</td><td>0.857</td><td>767</td><td>8.022e-6</td><td>746.14e-3</td><td>55.77</td><td>7742.9</td><td>53.23</td></tr><tr><td>MinVariance</td><td>951.6e-3</td><td>6.353e-3</td><td>958.0e-3</td><td>0.958</td><td>833</td><td>7.627e-6</td><td>750.68e-3</td><td>57.58</td><td>8658.4</td><td>57.81</td></tr><tr><td>Bsplines</td><td>863.4e-3</td><td>10.28e-3</td><td>873.6e-3</td><td>0.874</td><td>1687</td><td>6.094e-6</td><td>755.93e-3</td><td>93.18</td><td>7806.2</td><td>117.1</td></tr><tr><td>MinNorm</td><td>921.9e-3</td><td>5.757e-3</td><td>927.7e-3</td><td>0.928</td><td>807</td><td>7.134e-6</td><td>750.65e-3</td><td>52.18</td><td>8384.8</td><td>56.00</td></tr><tr><td>MinVolume</td><td>851.4e-3</td><td>6.605e-3</td><td>858.0e-3</td><td>0.858</td><td>901</td><td>7.331e-6</td><td>750.74e-3</td><td>59.86</td><td>7754.8</td><td>62.53</td></tr><tr><td>ApproxMinVolume</td><td>871.6e-3</td><td>6.810e-3</td><td>878.4e-3</td><td>0.878</td><td>905</td><td>7.525e-6</td><td>750.74e-3</td><td>61.72</td><td>7939.1</td><td>62.80</td></tr><tr><td>Recursive</td><td>851.8e-3</td><td>7.105e-3</td><td>858.9e-3</td><td>0.859</td><td>861</td><td>8.252e-6</td><td>746.14e-3</td><td>64.40</td><td>7763.4</td><td>59.75</td></tr><tr><td>Recursive2</td><td>836.2e-3</td><td>8.324e-3</td><td>844.5e-3</td><td>0.845</td><td>971</td><td>8.573e-6</td><td>746.14e-3</td><td>75.44</td><td>7632.8</td><td>67.38</td></tr><tr><td>Interval</td><td>29.09e-6</td><td>2.744</td><td>2.744</td><td>2.744</td><td>374127</td><td>7.333e-6</td><td>531.59e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.981</td><td>1.370</td><td>4.352</td><td>4.352</td><td>128365</td><td>10.67e-6</td><td>528.78e-3</td><td>49.94</td><td>158.6</td><td>34.31</td></tr><tr><td>MinVariance</td><td>4.452</td><td>1.772</td><td>6.224</td><td>6.224</td><td>149905</td><td>11.82e-6</td><td>529.10e-3</td><td>64.57</td><td>226.8</td><td>40.07</td></tr><tr><td>Bsplines</td><td>3.139</td><td>5.550</td><td>8.690</td><td>8.690</td><td>535389</td><td>10.37e-6</td><td>532.31e-3</td><td>202.3</td><td>316.7</td><td>143.1</td></tr><tr><td>MinNorm</td><td>4.206</td><td>1.743</td><td>5.949</td><td>5.949</td><td>139845</td><td>12.46e-6</td><td>528.95e-3</td><td>63.52</td><td>216.8</td><td>37.38</td></tr><tr><td>MinVolume</td><td>3.549</td><td>1.864</td><td>5.413</td><td>5.413</td><td>172433</td><td>10.81e-6</td><td>529.32e-3</td><td>67.94</td><td>197.3</td><td>46.09</td></tr><tr><td>ApproxMinVolume</td><td>3.562</td><td>1.932</td><td>5.494</td><td>5.494</td><td>173233</td><td>11.15e-6</td><td>529.34e-3</td><td>70.42</td><td>200.3</td><td>46.30</td></tr><tr><td>Recursive</td><td>3.496</td><td>1.523</td><td>5.020</td><td>5.020</td><td>137853</td><td>11.05e-6</td><td>528.78e-3</td><td>55.52</td><td>183.0</td><td>36.85</td></tr><tr><td>Recursive2</td><td>3.727</td><td>1.520</td><td>5.247</td><td>5.247</td><td>134427</td><td>11.31e-6</td><td>528.78e-3</td><td>55.40</td><td>191.2</td><td>35.93</td></tr><tr><td>Interval</td><td>19.07e-6</td><td>641.2</td><td>641.2</td><td>10.41</td><td>73827659</td><td>8.684e-6</td><td>444.32e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.988</td><td>345.4</td><td>349.4</td><td>05:49</td><td>20095431</td><td>17.19e-6</td><td>441.41e-3</td><td>53.87</td><td>54.49</td><td>27.22</td></tr><tr><td>MinVariance</td><td>5.165</td><td>421.6</td><td>426.8</td><td>07:06</td><td>24467853</td><td>17.23e-6</td><td>441.73e-3</td><td>65.76</td><td>66.57</td><td>33.14</td></tr><tr><td>Bsplines</td><td>4.016</td><td>1904</td><td>1908</td><td>31:48</td><td>116588999</td><td>16.34e-6</td><td>445.18e-3</td><td>297.1</td><td>297.7</td><td>157.9</td></tr><tr><td>MinNorm</td><td>5.009</td><td>388.5</td><td>393.5</td><td>06:33</td><td>22387547</td><td>17.35e-6</td><td>441.58e-3</td><td>60.60</td><td>61.38</td><td>30.32</td></tr><tr><td>MinVolume</td><td>4.482</td><td>493.3</td><td>497.8</td><td>08:17</td><td>29082215</td><td>16.96e-6</td><td>441.99e-3</td><td>76.94</td><td>77.64</td><td>39.39</td></tr><tr><td>ApproxMinVolume</td><td>4.598</td><td>515.8</td><td>520.4</td><td>08:40</td><td>29253355</td><td>17.63e-6</td><td>441.99e-3</td><td>80.45</td><td>81.17</td><td>39.62</td></tr><tr><td>Recursive</td><td>4.046</td><td>342.4</td><td>346.4</td><td>05:46</td><td>20533235</td><td>16.68e-6</td><td>441.41e-3</td><td>53.40</td><td>54.03</td><td>27.81</td></tr><tr><td>Recursive2</td><td>4.050</td><td>401.6</td><td>405.6</td><td>06:45</td><td>22936753</td><td>17.51e-6</td><td>441.41e-3</td><td>62.63</td><td>63.27</td><td>31.07</td></tr><tr><td>Interval</td><td>24.00e-6</td><td>96110</td><td>96110</td><td>1:02:41:50</td><td>974487894</td><td>9.863e-6</td><td>378.44e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>54.97</td><td>104874</td><td>104874</td><td>1:05:07:54</td><td>2478194516</td><td>42.32e-6</td><td>375.83e-3</td><td>109.1</td><td>109.1</td><td>25.43</td></tr><tr><td>MinVariance</td><td>59.47</td><td>134329</td><td>134329</td><td>1:13:18:49</td><td>3123110494</td><td>43.01e-6</td><td>376.15e-3</td><td>139.8</td><td>139.8</td><td>32.05</td></tr><tr><td>Bsplines</td><td>55.20</td><td>827432</td><td>827432</td><td>9:13:50:32</td><td>19977155262</td><td>41.42e-6</td><td>379.89e-3</td><td>860.9</td><td>860.9</td><td>205.0</td></tr><tr><td>MinNorm</td><td>59.81</td><td>122082</td><td>122082</td><td>1:09:54:42</td><td>2810659214</td><td>43.44e-6</td><td>376.00e-3</td><td>127.0</td><td>127.0</td><td>28.84</td></tr><tr><td>MinVolume</td><td>57.33</td><td>161661</td><td>161661</td><td>1:20:54:21</td><td>3823020650</td><td>42.29e-6</td><td>376.45e-3</td><td>168.2</td><td>168.2</td><td>39.23</td></tr><tr><td>ApproxMinVolume</td><td>57.31</td><td>162498</td><td>162498</td><td>1:21:08:18</td><td>3845257550</td><td>42.26e-6</td><td>376.46e-3</td><td>169.1</td><td>169.1</td><td>39.46</td></tr><tr><td>Recursive</td><td>55.14</td><td>105865</td><td>105865</td><td>1:05:24:25</td><td>2498628790</td><td>42.37e-6</td><td>375.83e-3</td><td>110.1</td><td>110.1</td><td>25.64</td></tr><tr><td>Recursive2</td><td>54.98</td><td>118154</td><td>118154</td><td>1:08:49:14</td><td>2852764846</td><td>41.42e-6</td><td>375.83e-3</td><td>122.9</td><td>122.9</td><td>29.28</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>16.26e-3</td><td>16.29e-3</td><td>0.016</td><td>1273</td><td>12.78e-6</td><td>846.26e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>846.0e-3</td><td>5.137e-3</td><td>851.2e-3</td><td>0.851</td><td>551</td><td>9.323e-6</td><td>813.57e-3</td><td>31.59</td><td>5224.3</td><td>43.28</td></tr><tr><td>MinVariance</td><td>941.5e-3</td><td>5.401e-3</td><td>946.9e-3</td><td>0.947</td><td>567</td><td>9.526e-6</td><td>814.15e-3</td><td>33.21</td><td>5812.0</td><td>44.54</td></tr><tr><td>Bsplines</td><td>868.8e-3</td><td>12.76e-3</td><td>881.6e-3</td><td>0.882</td><td>2519</td><td>5.064e-6</td><td>829.81e-3</td><td>78.43</td><td>5410.9</td><td>197.9</td></tr><tr><td>MinNorm</td><td>928.9e-3</td><td>5.498e-3</td><td>934.5e-3</td><td>0.934</td><td>553</td><td>9.942e-6</td><td>813.89e-3</td><td>33.81</td><td>5735.3</td><td>43.44</td></tr><tr><td>MinVolume</td><td>919.7e-3</td><td>6.429e-3</td><td>926.1e-3</td><td>0.926</td><td>633</td><td>10.16e-6</td><td>814.70e-3</td><td>39.53</td><td>5684.2</td><td>49.73</td></tr><tr><td>ApproxMinVolume</td><td>893.5e-3</td><td>5.041e-3</td><td>898.6e-3</td><td>0.899</td><td>637</td><td>7.914e-6</td><td>814.71e-3</td><td>31.00</td><td>5515.0</td><td>50.04</td></tr><tr><td>Recursive</td><td>871.1e-3</td><td>5.992e-3</td><td>877.1e-3</td><td>0.877</td><td>661</td><td>9.065e-6</td><td>813.57e-3</td><td>36.84</td><td>5383.1</td><td>51.92</td></tr><tr><td>Recursive2</td><td>866.3e-3</td><td>5.679e-3</td><td>872.0e-3</td><td>0.872</td><td>773</td><td>7.347e-6</td><td>813.57e-3</td><td>34.92</td><td>5351.7</td><td>60.72</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>471.5e-3</td><td>471.6e-3</td><td>0.472</td><td>65243</td><td>7.228e-6</td><td>577.23e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.021</td><td>239.1e-3</td><td>3.260</td><td>3.260</td><td>21793</td><td>10.97e-6</td><td>553.92e-3</td><td>50.71</td><td>691.3</td><td>33.40</td></tr><tr><td>MinVariance</td><td>4.240</td><td>285.1e-3</td><td>4.526</td><td>4.526</td><td>25625</td><td>11.13e-6</td><td>556.24e-3</td><td>60.47</td><td>959.7</td><td>39.28</td></tr><tr><td>Bsplines</td><td>3.188</td><td>1.091</td><td>4.278</td><td>4.278</td><td>99169</td><td>11.00e-6</td><td>581.31e-3</td><td>231.3</td><td>907.2</td><td>152.0</td></tr><tr><td>MinNorm</td><td>4.155</td><td>247.2e-3</td><td>4.402</td><td>4.402</td><td>23703</td><td>10.43e-6</td><td>555.33e-3</td><td>52.43</td><td>933.5</td><td>36.33</td></tr><tr><td>MinVolume</td><td>3.620</td><td>325.4e-3</td><td>3.945</td><td>3.945</td><td>29881</td><td>10.89e-6</td><td>558.27e-3</td><td>69.02</td><td>836.6</td><td>45.80</td></tr><tr><td>ApproxMinVolume</td><td>3.559</td><td>332.9e-3</td><td>3.891</td><td>3.891</td><td>29961</td><td>11.11e-6</td><td>558.29e-3</td><td>70.60</td><td>825.2</td><td>45.92</td></tr><tr><td>Recursive</td><td>3.521</td><td>315.4e-3</td><td>3.836</td><td>3.836</td><td>28535</td><td>11.05e-6</td><td>553.92e-3</td><td>66.88</td><td>813.5</td><td>43.74</td></tr><tr><td>Recursive2</td><td>3.737</td><td>301.6e-3</td><td>4.038</td><td>4.038</td><td>27773</td><td>10.86e-6</td><td>553.92e-3</td><td>63.96</td><td>856.3</td><td>42.57</td></tr><tr><td>Interval</td><td>31.95e-6</td><td>31.51</td><td>31.51</td><td>31.508</td><td>37181417</td><td>8.474e-6</td><td>493.46e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.930</td><td>17.92</td><td>21.85</td><td>21.848</td><td>1068413</td><td>16.77e-6</td><td>468.22e-3</td><td>56.87</td><td>69.34</td><td>28.73</td></tr><tr><td>MinVariance</td><td>5.164</td><td>22.81</td><td>27.98</td><td>27.975</td><td>1257073</td><td>18.15e-6</td><td>470.39e-3</td><td>72.40</td><td>88.79</td><td>33.81</td></tr><tr><td>Bsplines</td><td>3.996</td><td>110.3</td><td>114.3</td><td>01:54</td><td>6387539</td><td>17.26e-6</td><td>496.65e-3</td><td>349.9</td><td>362.6</td><td>171.8</td></tr><tr><td>MinNorm</td><td>5.025</td><td>20.10</td><td>25.12</td><td>25.121</td><td>1154511</td><td>17.41e-6</td><td>469.51e-3</td><td>63.78</td><td>79.73</td><td>31.05</td></tr><tr><td>MinVolume</td><td>4.481</td><td>26.98</td><td>31.46</td><td>31.458</td><td>1526103</td><td>17.68e-6</td><td>472.38e-3</td><td>85.62</td><td>99.84</td><td>41.04</td></tr><tr><td>ApproxMinVolume</td><td>4.646</td><td>27.16</td><td>31.80</td><td>31.804</td><td>1531849</td><td>17.73e-6</td><td>472.40e-3</td><td>86.19</td><td>100.9</td><td>41.20</td></tr><tr><td>Recursive</td><td>4.106</td><td>27.15</td><td>31.25</td><td>31.252</td><td>1575133</td><td>17.23e-6</td><td>468.22e-3</td><td>86.15</td><td>99.18</td><td>42.36</td></tr><tr><td>Recursive2</td><td>4.014</td><td>37.17</td><td>41.18</td><td>41.184</td><td>2118197</td><td>17.55e-6</td><td>468.22e-3</td><td>118.0</td><td>130.7</td><td>56.97</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>1929</td><td>1929</td><td>32:09</td><td>204720217</td><td>9.427e-6</td><td>427.47e-3</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>71.63</td><td>2108</td><td>2179</td><td>36:19</td><td>49313299</td><td>42.75e-6</td><td>405.09e-3</td><td>109.3</td><td>113.0</td><td>24.09</td></tr><tr><td>MinVariance</td><td>77.47</td><td>2645</td><td>2722</td><td>45:22</td><td>61364187</td><td>43.11e-6</td><td>407.22e-3</td><td>137.1</td><td>141.1</td><td>29.97</td></tr><tr><td>Bsplines</td><td>72.27</td><td>19891</td><td>19963</td><td>05:32:43</td><td>471788765</td><td>42.16e-6</td><td>436.23e-3</td><td>1030.7</td><td>1034.5</td><td>230.5</td></tr><tr><td>MinNorm</td><td>76.98</td><td>2307</td><td>2384</td><td>39:44</td><td>54279311</td><td>42.52e-6</td><td>405.95e-3</td><td>119.6</td><td>123.6</td><td>26.51</td></tr><tr><td>MinVolume</td><td>75.63</td><td>3292</td><td>3367</td><td>56:07</td><td>77114907</td><td>42.69e-6</td><td>409.21e-3</td><td>170.6</td><td>174.5</td><td>37.67</td></tr><tr><td>ApproxMinVolume</td><td>75.89</td><td>3284</td><td>3360</td><td>56:00</td><td>77509853</td><td>42.37e-6</td><td>409.22e-3</td><td>170.2</td><td>174.1</td><td>37.86</td></tr><tr><td>Recursive</td><td>73.50</td><td>3110</td><td>3183</td><td>53:03</td><td>72326041</td><td>43.00e-6</td><td>405.09e-3</td><td>161.2</td><td>165.0</td><td>35.33</td></tr><tr><td>Recursive2</td><td>73.70</td><td>5054</td><td>5128</td><td>01:25:28</td><td>118995025</td><td>42.48e-6</td><td>405.09e-3</td><td>261.9</td><td>265.7</td><td>58.13</td></tr></tbody></table>
<table><caption>Table 37: Bissection of problem 2D with problem: 8, type: MaxFirst</caption><thead><tr><th>precision</th><th>ndof</th><th>solver</th><th>prep.time</th><th>comput.time</th><th>total.time</th><th>(D-H:M:S.ms)</th><th>nb.iter</th><th>time-per.iter</th><th>criteria</th><th>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="20">0.001</td><td rowspan="10">2</td><td>Interval</td><td>25.03e-6</td><td>27.69e-3</td><td>27.72e-3</td><td>0.028</td><td>4197</td><td>6.598e-6</td><td>2.4606</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>814.8e-3</td><td>10.33e-3</td><td>825.2e-3</td><td>0.825</td><td>2015</td><td>5.127e-6</td><td>2.4563</td><td>37.31</td><td>2977.0</td><td>48.01</td></tr><tr><td>MinVariance</td><td>907.9e-3</td><td>9.567e-3</td><td>917.5e-3</td><td>0.918</td><td>2175</td><td>4.399e-6</td><td>2.4564</td><td>34.55</td><td>3310.2</td><td>51.82</td></tr><tr><td>BSplines</td><td>825.4e-3</td><td>17.01e-3</td><td>842.5e-3</td><td>0.842</td><td>4141</td><td>4.108e-6</td><td>2.4598</td><td>61.43</td><td>3039.5</td><td>98.67</td></tr><tr><td>MinNorm</td><td>922.0e-3</td><td>9.652e-3</td><td>931.6e-3</td><td>0.932</td><td>2077</td><td>4.647e-6</td><td>2.4564</td><td>34.85</td><td>3361.1</td><td>49.49</td></tr><tr><td>MinVolume</td><td>912.5e-3</td><td>11.31e-3</td><td>923.9e-3</td><td>0.924</td><td>2391</td><td>4.731e-6</td><td>2.4571</td><td>40.84</td><td>3333.1</td><td>56.97</td></tr><tr><td>ApproxMinVolume</td><td>893.7e-3</td><td>11.41e-3</td><td>905.1e-3</td><td>0.905</td><td>2393</td><td>4.769e-6</td><td>2.4571</td><td>41.21</td><td>3265.5</td><td>57.02</td></tr><tr><td>Recursive</td><td>847.2e-3</td><td>10.14e-3</td><td>857.4e-3</td><td>0.857</td><td>2083</td><td>4.869e-6</td><td>2.4563</td><td>36.62</td><td>3093.2</td><td>49.63</td></tr><tr><td>Recursive2</td><td>863.8e-3</td><td>10.94e-3</td><td>874.8e-3</td><td>0.875</td><td>2183</td><td>5.011e-6</td><td>2.4563</td><td>39.50</td><td>3156.1</td><td>52.01</td></tr><tr><td>Interval</td><td>28.13e-6</td><td>5.031</td><td>5.031</td><td>5.031</td><td>689327</td><td>7.298e-6</td><td>2.2083</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.000</td><td>1.835</td><td>4.835</td><td>4.835</td><td>171517</td><td>10.70e-6</td><td>2.2022</td><td>36.48</td><td>96.11</td><td>24.88</td></tr><tr><td>MinVariance</td><td>4.396</td><td>2.292</td><td>6.688</td><td>6.688</td><td>197113</td><td>11.63e-6</td><td>2.2026</td><td>45.56</td><td>132.9</td><td>28.59</td></tr><tr><td>BSplines</td><td>3.187</td><td>6.837</td><td>10.02</td><td>10.024</td><td>621729</td><td>11.00e-6</td><td>2.2060</td><td>135.9</td><td>199.3</td><td>90.19</td></tr><tr><td>MinNorm</td><td>4.214</td><td>2.163</td><td>6.377</td><td>6.377</td><td>185449</td><td>11.66e-6</td><td>2.2024</td><td>42.99</td><td>126.8</td><td>26.90</td></tr><tr><td>MinVolume</td><td>3.623</td><td>2.441</td><td>6.064</td><td>6.064</td><td>220885</td><td>11.05e-6</td><td>2.2028</td><td>48.52</td><td>120.5</td><td>32.04</td></tr><tr><td>ApproxMinVolume</td><td>3.586</td><td>2.460</td><td>6.044</td><td>6.046</td><td>221069</td><td>11.08e-6</td><td>2.2028</td><td>48.90</td><td>120.2</td><td>32.20</td></tr><tr><td>Recursive</td><td>3.495</td><td>1.933</td><td>5.428</td><td>5.428</td><td>177513</td><td>10.89e-6</td><td>2.2022</td><td>38.42</td><td>107.9</td><td>25.75</td></tr><tr><td>Recursive2</td><td>3.723</td><td>2.066</td><td>5.789</td><td>5.789</td><td>180891</td><td>11.42e-6</td><td>2.2022</td><td>41.07</td><td>115.1</td><td>26.24</td></tr><tr><td>Interval</td><td>27.89e-6</td><td>1045</td><td>1045</td><td>17.25</td><td>125511839</td><td>8.333e-6</td><td>1.2199</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.981</td><td>634.9</td><td>638.9</td><td>10.38</td><td>37222273</td><td>17.06e-6</td><td>1.2155</td><td>60.71</td><td>61.09</td><td>29.66</td></tr><tr><td>MinVariance</td><td>5.154</td><td>765.5</td><td>770.7</td><td>12.50</td><td>44965691</td><td>17.02e-6</td><td>1.2160</td><td>73.19</td><td>73.69</td><td>35.83</td></tr><tr><td>BSplines</td><td>3.990</td><td>3344</td><td>3348</td><td>55.48</td><td>207118427</td><td>16.15e-6</td><td>1.2216</td><td>319.8</td><td>320.1</td><td>165.0</td></tr><tr><td>MinNorm</td><td>6.269</td><td>729.2</td><td>735.5</td><td>12.15</td><td>41301515</td><td>17.66e-6</td><td>1.2157</td><td>69.73</td><td>70.33</td><td>32.91</td></tr><tr><td>MinVolume</td><td>5.780</td><td>974.5</td><td>980.3</td><td>16.20</td><td>53254691</td><td>18.30e-6</td><td>1.2164</td><td>93.18</td><td>93.73</td><td>42.43</td></tr><tr><td>ApproxMinVolume</td><td>5.917</td><td>929.6</td><td>935.5</td><td>15.35</td><td>53421779</td><td>17.40e-6</td><td>1.2164</td><td>88.88</td><td>89.45</td><td>42.56</td></tr><tr><td>Recursive</td><td>5.729</td><td>643.6</td><td>649.3</td><td>10.49</td><td>37447497</td><td>17.19e-6</td><td>1.2155</td><td>61.53</td><td>62.08</td><td>29.84</td></tr><tr><td>Recursive2</td><td>5.729</td><td>697.6</td><td>703.3</td><td>11.43</td><td>39723013</td><td>17.56e-6</td><td>1.2155</td><td>66.70</td><td>67.25</td><td>31.65</td></tr><tr><td>Interval</td><td>23.00e-6</td><td>319404</td><td>319404</td><td>3-16:43:24</td><td>32513055222</td><td>9.824e-6</td><td>1.0322</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>54.70</td><td>390185</td><td>390185</td><td>4-12:23:05</td><td>9355057666</td><td>41.71e-6</td><td>1.0281</td><td>122.2</td><td>122.2</td><td>28.77</td></tr><tr><td>MinVariance</td><td>59.52</td><td>492832</td><td>492832</td><td>5-16:53:52</td><td>11703334114</td><td>42.11e-6</td><td>1.0287</td><td>154.3</td><td>154.3</td><td>36.00</td></tr><tr><td>BSplines</td><td>55.26</td><td>2869980</td><td>2869980</td><td>33-05:13:00</td><td>69680252900</td><td>41.19e-6</td><td>1.0350</td><td>898.5</td><td>898.5</td><td>214.3</td></tr><tr><td>MinNorm</td><td>59.34</td><td>447737</td><td>447737</td><td>5-04:22:17</td><td>10586690521</td><td>42.29e-6</td><td>1.0284</td><td>140.2</td><td>140.2</td><td>32.56</td></tr><tr><td>MinVolume</td><td>56.96</td><td>583673</td><td>583674</td><td>6-18:07:54</td><td>14224991879</td><td>41.03e-6</td><td>1.0292</td><td>182.7</td><td>182.7</td><td>43.75</td></tr><tr><td>ApproxMinVolume</td><td>57.24</td><td>597702</td><td>597702</td><td>6-22:01:42</td><td>14296968595</td><td>41.81e-6</td><td>1.0292</td><td>187.1</td><td>187.1</td><td>43.97</td></tr><tr><td>Recursive</td><td>54.92</td><td>392680</td><td>392680</td><td>4-13:04:40</td><td>9362850307</td><td>41.94e-6</td><td>1.0281</td><td>122.9</td><td>122.9</td><td>28.80</td></tr><tr><td>Recursive2</td><td>55.45</td><td>424179</td><td>424179</td><td>4-21:49:39</td><td>10125189187</td><td>41.89e-6</td><td>1.0281</td><td>132.8</td><td>132.8</td><td>31.14</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>8.165e-3</td><td>8.191e-3</td><td>0.008</td><td>899</td><td>9.082e-6</td><td>2.5169</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>835.5e-3</td><td>4.254e-3</td><td>839.7e-3</td><td>0.840</td><td>427</td><td>9.963e-6</td><td>2.4865</td><td>52.10</td><td>10251.8</td><td>47.50</td></tr><tr><td>MinVariance</td><td>1.008</td><td>5.069e-3</td><td>1.013</td><td>1.013</td><td>453</td><td>11.19e-6</td><td>2.4875</td><td>62.08</td><td>12362.3</td><td>50.39</td></tr><tr><td>BSplines</td><td>910.9e-3</td><td>6.421e-3</td><td>917.4e-3</td><td>0.917</td><td>947</td><td>6.780e-6</td><td>2.5101</td><td>78.64</td><td>11199.4</td><td>105.3</td></tr><tr><td>MinNorm</td><td>972.3e-3</td><td>4.781e-3</td><td>977.1e-3</td><td>0.977</td><td>427</td><td>11.20e-6</td><td>2.4871</td><td>58.55</td><td>11928.3</td><td>47.50</td></tr><tr><td>MinVolume</td><td>959.1e-3</td><td>4.499e-3</td><td>963.6e-3</td><td>0.964</td><td>489</td><td>9.200e-6</td><td>2.4885</td><td>55.10</td><td>11763.7</td><td>54.39</td></tr><tr><td>ApproxMinVolume</td><td>939.8e-3</td><td>4.544e-3</td><td>944.3e-3</td><td>0.944</td><td>489</td><td>9.292e-6</td><td>2.4885</td><td>55.65</td><td>11528.5</td><td>54.39</td></tr><tr><td>Recursive</td><td>912.1e-3</td><td>4.528e-3</td><td>916.6e-3</td><td>0.917</td><td>485</td><td>9.336e-6</td><td>2.4865</td><td>55.45</td><td>11190.5</td><td>53.95</td></tr><tr><td>Recursive2</td><td>892.5e-3</td><td>6.455e-3</td><td>898.9e-3</td><td>0.899</td><td>561</td><td>11.51e-6</td><td>2.4865</td><td>79.06</td><td>10974.7</td><td>62.40</td></tr><tr><td>Interval</td><td>26.23e-6</td><td>930.1e-3</td><td>930.1e-3</td><td>0.930</td><td>124427</td><td>7.475e-6</td><td>2.2797</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.020</td><td>460.5e-3</td><td>3.480</td><td>3.480</td><td>39499</td><td>11.16e-6</td><td>2.2314</td><td>49.51</td><td>374.2</td><td>31.74</td></tr><tr><td>MinVariance</td><td>4.437</td><td>531.5e-3</td><td>4.968</td><td>4.968</td><td>44421</td><td>11.96e-6</td><td>2.2340</td><td>57.14</td><td>534.1</td><td>35.70</td></tr><tr><td>BSplines</td><td>3.197</td><td>1.499</td><td>4.696</td><td>4.696</td><td>133793</td><td>11.20e-6</td><td>2.2655</td><td>161.1</td><td>504.8</td><td>107.5</td></tr><tr><td>MinNorm</td><td>4.239</td><td>505.3e-3</td><td>4.745</td><td>4.745</td><td>41841</td><td>12.08e-6</td><td>2.2334</td><td>54.33</td><td>510.1</td><td>33.63</td></tr><tr><td>MinVolume</td><td>3.621</td><td>580.3e-3</td><td>4.201</td><td>4.201</td><td>49555</td><td>11.71e-6</td><td>2.2350</td><td>62.39</td><td>451.7</td><td>39.83</td></tr><tr><td>ApproxMinVolume</td><td>3.576</td><td>559.1e-3</td><td>4.135</td><td>4.135</td><td>49667</td><td>11.26e-6</td><td>2.2351</td><td>60.11</td><td>444.6</td><td>39.92</td></tr><tr><td>Recursive</td><td>3.516</td><td>514.3e-3</td><td>4.030</td><td>4.030</td><td>44473</td><td>11.56e-6</td><td>2.2314</td><td>55.30</td><td>433.3</td><td>35.74</td></tr><tr><td>Recursive2</td><td>3.747</td><td>583.6e-3</td><td>4.331</td><td>4.331</td><td>47929</td><td>12.18e-6</td><td>2.2314</td><td>62.75</td><td>465.6</td><td>38.52</td></tr><tr><td>Interval</td><td>22.89e-6</td><td>46.75</td><td>46.75</td><td>46.752</td><td>5682049</td><td>8.228e-6</td><td>1.2952</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>4.006</td><td>30.91</td><td>34.91</td><td>34.914</td><td>1736341</td><td>17.80e-6</td><td>1.2587</td><td>66.11</td><td>74.68</td><td>30.56</td></tr><tr><td>MinVariance</td><td>5.179</td><td>36.77</td><td>41.95</td><td>41.950</td><td>2074333</td><td>17.73e-6</td><td>1.2628</td><td>78.65</td><td>89.73</td><td>36.51</td></tr><tr><td>BSplines</td><td>4.003</td><td>164.2</td><td>168.2</td><td>02:48</td><td>9156595</td><td>17.93e-6</td><td>1.3068</td><td>351.2</td><td>359.8</td><td>161.1</td></tr><tr><td>MinNorm</td><td>5.021</td><td>34.73</td><td>39.75</td><td>39.747</td><td>1905065</td><td>18.23e-6</td><td>1.2610</td><td>74.28</td><td>85.02</td><td>33.53</td></tr><tr><td>MinVolume</td><td>4.350</td><td>44.38</td><td>48.74</td><td>48.735</td><td>2466345</td><td>18.00e-6</td><td>1.2665</td><td>94.94</td><td>104.2</td><td>43.41</td></tr><tr><td>ApproxMinVolume</td><td>4.634</td><td>44.97</td><td>49.60</td><td>49.603</td><td>2479623</td><td>18.14e-6</td><td>1.2665</td><td>96.19</td><td>106.1</td><td>43.64</td></tr><tr><td>Recursive</td><td>4.062</td><td>34.05</td><td>38.12</td><td>38.115</td><td>1971079</td><td>17.28e-6</td><td>1.2587</td><td>72.84</td><td>81.53</td><td>34.69</td></tr><tr><td>Recursive2</td><td>4.011</td><td>45.94</td><td>49.95</td><td>49.954</td><td>2653161</td><td>17.32e-6</td><td>1.2587</td><td>98.27</td><td>106.8</td><td>46.69</td></tr><tr><td>Interval</td><td>29.09e-6</td><td>4393</td><td>4393</td><td>01:13:13</td><td>453425665</td><td>9.691e-6</td><td>1.1113</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.56</td><td>5428</td><td>5501</td><td>01:31:41</td><td>126238853</td><td>43.00e-6</td><td>1.0771</td><td>123.5</td><td>125.2</td><td>27.84</td></tr><tr><td>MinVariance</td><td>77.99</td><td>6864</td><td>6942</td><td>01:55:42</td><td>159235441</td><td>43.11e-6</td><td>1.0810</td><td>156.2</td><td>158.0</td><td>35.12</td></tr><tr><td>BSplines</td><td>73.38</td><td>44818</td><td>44891</td><td>12:28:11</td><td>1054173521</td><td>42.52e-6</td><td>1.1296</td><td>1020.0</td><td>1021.7</td><td>232.5</td></tr><tr><td>MinNorm</td><td>78.91</td><td>6109</td><td>6188</td><td>01:43:08</td><td>142826273</td><td>42.77e-6</td><td>1.0789</td><td>139.0</td><td>140.8</td><td>31.50</td></tr><tr><td>MinVolume</td><td>75.81</td><td>8492</td><td>8567</td><td>02:22:47</td><td>196825475</td><td>43.15e-6</td><td>1.0845</td><td>193.3</td><td>195.0</td><td>43.41</td></tr><tr><td>ApproxMinVolume</td><td>76.35</td><td>8432</td><td>8508</td><td>02:21:48</td><td>197631629</td><td>42.67e-6</td><td>1.0845</td><td>191.9</td><td>193.6</td><td>43.59</td></tr><tr><td>Recursive</td><td>72.94</td><td>5955</td><td>6028</td><td>01:40:28</td><td>138828361</td><td>42.90e-6</td><td>1.0771</td><td>135.5</td><td>137.2</td><td>30.62</td></tr><tr><td>Recursive2</td><td>73.10</td><td>9938</td><td>10011</td><td>02:46:51</td><td>231923653</td><td>42.85e-6</td><td>1.0771</td><td>226.2</td><td>227.8</td><td>51.15</td></tr></tbody></table>