<table><caption>Table 38: Bissection of problem 2D with problem: 9, 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>28.13e-6</td><td>3.805e-3</td><td>3.833e-3</td><td>0.004</td><td>107</td><td>35.56e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>832.8e-3</td><td>4.490e-3</td><td>837.3e-3</td><td>0.837</td><td>69</td><td>65.07e-6</td><td>infeasible</td><td>118.0</td><td>21845.3</td><td>64.49</td></tr><tr><td>MinVariance</td><td>960.1e-3</td><td>3.990e-3</td><td>964.1e-3</td><td>0.964</td><td>63</td><td>63.33e-6</td><td>infeasible</td><td>104.9</td><td>25153.3</td><td>58.88</td></tr><tr><td>BSplines</td><td>890.6e-3</td><td>4.091e-3</td><td>894.7e-3</td><td>0.895</td><td>113</td><td>36.20e-6</td><td>infeasible</td><td>107.5</td><td>23342.3</td><td>105.6</td></tr><tr><td>MinNorm</td><td>956.9e-3</td><td>3.709e-3</td><td>960.6e-3</td><td>0.961</td><td>61</td><td>60.80e-6</td><td>infeasible</td><td>97.48</td><td>25062.1</td><td>57.01</td></tr><tr><td>MinVolume</td><td>963.6e-3</td><td>4.504e-3</td><td>968.1e-3</td><td>0.968</td><td>69</td><td>65.28e-6</td><td>infeasible</td><td>118.4</td><td>25255.8</td><td>64.49</td></tr><tr><td>ApproxMinVolume</td><td>925.8e-3</td><td>5.076e-3</td><td>930.9e-3</td><td>0.931</td><td>69</td><td>73.56e-6</td><td>infeasible</td><td>133.4</td><td>24285.2</td><td>64.49</td></tr><tr><td>Recursive</td><td>884.1e-3</td><td>3.213e-3</td><td>887.3e-3</td><td>0.887</td><td>93</td><td>34.55e-6</td><td>infeasible</td><td>84.44</td><td>23149.8</td><td>86.92</td></tr><tr><td>Recursive2</td><td>913.3e-3</td><td>3.696e-3</td><td>917.0e-3</td><td>0.917</td><td>123</td><td>30.05e-6</td><td>infeasible</td><td>97.14</td><td>23923.5</td><td>115.0</td></tr><tr><td>Interval</td><td>22.89e-6</td><td>3.832</td><td>3.832</td><td>3.832</td><td>535589</td><td>7.155e-6</td><td>3.7270</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.007</td><td>1.719</td><td>4.727</td><td>4.727</td><td>169079</td><td>10.17e-6</td><td>3.7217</td><td>44.87</td><td>123.3</td><td>31.57</td></tr><tr><td>MinVariance</td><td>4.425</td><td>2.161</td><td>6.586</td><td>6.586</td><td>193953</td><td>11.14e-6</td><td>3.7221</td><td>56.38</td><td>171.9</td><td>36.21</td></tr><tr><td>BSplines</td><td>3.174</td><td>6.200</td><td>9.374</td><td>9.374</td><td>602377</td><td>10.29e-6</td><td>3.7270</td><td>161.8</td><td>244.6</td><td>112.5</td></tr><tr><td>MinNorm</td><td>4.159</td><td>1.900</td><td>6.059</td><td>6.059</td><td>182145</td><td>10.43e-6</td><td>3.7220</td><td>49.59</td><td>158.1</td><td>34.01</td></tr><tr><td>MinVolume</td><td>3.594</td><td>2.337</td><td>5.931</td><td>5.931</td><td>218479</td><td>10.70e-6</td><td>3.7225</td><td>60.98</td><td>154.8</td><td>40.79</td></tr><tr><td>ApproxMinVolume</td><td>3.576</td><td>2.353</td><td>5.929</td><td>5.929</td><td>219029</td><td>10.74e-6</td><td>3.7225</td><td>61.41</td><td>154.7</td><td>40.89</td></tr><tr><td>Recursive</td><td>3.512</td><td>1.798</td><td>5.309</td><td>5.309</td><td>172889</td><td>10.40e-6</td><td>3.7217</td><td>46.91</td><td>138.5</td><td>32.28</td></tr><tr><td>Recursive2</td><td>3.727</td><td>1.782</td><td>5.510</td><td>5.510</td><td>172987</td><td>10.30e-6</td><td>3.7217</td><td>46.51</td><td>143.8</td><td>32.30</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>1006</td><td>1006</td><td>16.46</td><td>121703787</td><td>8.267e-6</td><td>2.1947</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>5.729</td><td>152.7</td><td>158.4</td><td>02:38</td><td>8359845</td><td>18.26e-6</td><td>2.1783</td><td>15.17</td><td>15.74</td><td>6.869</td></tr><tr><td>MinVariance</td><td>6.373</td><td>183.5</td><td>189.9</td><td>03:09</td><td>9725243</td><td>18.87e-6</td><td>2.1787</td><td>18.24</td><td>18.88</td><td>7.991</td></tr><tr><td>BSplines</td><td>5.730</td><td>654.4</td><td>660.1</td><td>11:00</td><td>37879513</td><td>17.28e-6</td><td>2.1849</td><td>65.04</td><td>65.61</td><td>31.12</td></tr><tr><td>MinNorm</td><td>6.293</td><td>174.6</td><td>180.9</td><td>03:00</td><td>9083343</td><td>19.23e-6</td><td>2.1785</td><td>17.36</td><td>17.98</td><td>7.463</td></tr><tr><td>MinVolume</td><td>5.785</td><td>209.2</td><td>215.0</td><td>03:35</td><td>11178717</td><td>18.72e-6</td><td>2.1793</td><td>20.80</td><td>21.37</td><td>9.185</td></tr><tr><td>ApproxMinVolume</td><td>5.911</td><td>206.7</td><td>212.6</td><td>03:32</td><td>11208291</td><td>18.44e-6</td><td>2.1793</td><td>20.55</td><td>21.13</td><td>9.209</td></tr><tr><td>Recursive</td><td>5.729</td><td>153.9</td><td>159.7</td><td>02:39</td><td>8629967</td><td>17.84e-6</td><td>2.1783</td><td>15.30</td><td>15.87</td><td>7.091</td></tr><tr><td>Recursive2</td><td>5.730</td><td>157.8</td><td>163.5</td><td>02:43</td><td>8760471</td><td>18.01e-6</td><td>2.1783</td><td>15.69</td><td>16.26</td><td>7.198</td></tr><tr><td>Interval</td><td>25.00e-6</td><td>443355</td><td>443355</td><td>5-03:09:15</td><td>4533637439</td><td>9.779e-6</td><td>1.4639</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>54.88</td><td>505438</td><td>505438</td><td>5-20:23:58</td><td>12194051223</td><td>41.45e-6</td><td>1.4591</td><td>114.0</td><td>114.0</td><td>26.90</td></tr><tr><td>MinVariance</td><td>59.57</td><td>648260</td><td>648260</td><td>7-12:04:20</td><td>15336208493</td><td>42.27e-6</td><td>1.4597</td><td>146.2</td><td>146.2</td><td>33.83</td></tr><tr><td>BSplines</td><td>55.35</td><td>3980860</td><td>3980860</td><td>46-01:47:40</td><td>97061977239</td><td>41.01e-6</td><td>1.4670</td><td>897.9</td><td>897.9</td><td>214.1</td></tr><tr><td>MinNorm</td><td>59.34</td><td>581173</td><td>581173</td><td>6-17:26:13</td><td>13851412889</td><td>41.96e-6</td><td>1.4594</td><td>131.1</td><td>131.1</td><td>30.55</td></tr><tr><td>MinVolume</td><td>56.94</td><td>787178</td><td>787178</td><td>9-02:39:38</td><td>1880604959</td><td>41.86e-6</td><td>1.4603</td><td>177.6</td><td>177.6</td><td>41.48</td></tr><tr><td>ApproxMinVolume</td><td>57.07</td><td>788145</td><td>788146</td><td>9-02:55:46</td><td>18894595193</td><td>41.71e-6</td><td>1.4603</td><td>177.8</td><td>177.8</td><td>41.68</td></tr><tr><td>Recursive</td><td>55.47</td><td>505199</td><td>505199</td><td>5-20:19:59</td><td>12210389429</td><td>41.37e-6</td><td>1.4591</td><td>113.9</td><td>113.9</td><td>26.93</td></tr><tr><td>Recursive2</td><td>54.90</td><td>536975</td><td>536975</td><td>6-05:09:35</td><td>13021132675</td><td>41.24e-6</td><td>1.4591</td><td>121.1</td><td>121.1</td><td>28.72</td></tr><tr><td>Interval</td><td>32.90e-6</td><td>3.099e-3</td><td>3.132e-3</td><td>0.003</td><td>107</td><td>28.96e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>887.6e-3</td><td>3.431e-3</td><td>891.1e-3</td><td>0.891</td><td>69</td><td>49.73e-6</td><td>infeasible</td><td>110.7</td><td>28452.1</td><td>64.49</td></tr><tr><td>MinVariance</td><td>1.005</td><td>3.610e-3</td><td>1.008</td><td>1.008</td><td>63</td><td>57.30e-6</td><td>infeasible</td><td>116.5</td><td>32191.9</td><td>58.88</td></tr><tr><td>BSplines</td><td>910.1e-3</td><td>3.714e-3</td><td>913.8e-3</td><td>09:14</td><td>113</td><td>32.87e-6</td><td>infeasible</td><td>119.8</td><td>29179.0</td><td>105.6</td></tr><tr><td>MinNorm</td><td>966.2e-3</td><td>3.746e-3</td><td>970.0e-3</td><td>0.970</td><td>61</td><td>61.41e-6</td><td>infeasible</td><td>120.9</td><td>30907.4</td><td>57.01</td></tr><tr><td>MinVolume</td><td>939.1e-3</td><td>3.683e-3</td><td>942.8e-3</td><td>0.943</td><td>69</td><td>53.37e-6</td><td>infeasible</td><td>118.8</td><td>30101.9</td><td>64.49</td></tr><tr><td>ApproxMinVolume</td><td>932.2e-3</td><td>2.895e-3</td><td>935.1e-3</td><td>0.935</td><td>69</td><td>41.96e-6</td><td>infeasible</td><td>93.42</td><td>29858.7</td><td>64.49</td></tr><tr><td>Recursive</td><td>889.5e-3</td><td>3.490e-3</td><td>893.0e-3</td><td>0.893</td><td>93</td><td>37.53e-6</td><td>infeasible</td><td>112.6</td><td>28513.2</td><td>86.92</td></tr><tr><td>Recursive2</td><td>886.7e-3</td><td>4.209e-3</td><td>890.9e-3</td><td>0.891</td><td>123</td><td>34.22e-6</td><td>infeasible</td><td>135.8</td><td>28447.7</td><td>115.0</td></tr><tr><td>Interval</td><td>27.89e-6</td><td>390.9e-3</td><td>391.0e-3</td><td>0.391</td><td>54021</td><td>7.237e-6</td><td>3.8013</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.005</td><td>195.1e-3</td><td>3.200</td><td>3.200</td><td>18025</td><td>10.83e-6</td><td>3.7604</td><td>49.92</td><td>818.4</td><td>33.37</td></tr><tr><td>MinVariance</td><td>4.420</td><td>244.1e-3</td><td>4.664</td><td>4.664</td><td>20667</td><td>11.81e-6</td><td>3.7636</td><td>62.44</td><td>1193.0</td><td>38.26</td></tr><tr><td>BSplines</td><td>3.193</td><td>699.1e-3</td><td>3.892</td><td>3.892</td><td>62871</td><td>11.12e-6</td><td>3.8029</td><td>178.8</td><td>995.6</td><td>116.4</td></tr><tr><td>MinNorm</td><td>4.249</td><td>225.4e-3</td><td>4.475</td><td>4.475</td><td>19319</td><td>11.67e-6</td><td>3.7612</td><td>57.66</td><td>1144.5</td><td>35.76</td></tr><tr><td>MinVolume</td><td>3.621</td><td>271.8e-3</td><td>3.893</td><td>3.893</td><td>23307</td><td>11.66e-6</td><td>3.7668</td><td>69.54</td><td>995.7</td><td>43.14</td></tr><tr><td>ApproxMinVolume</td><td>3.552</td><td>262.6e-3</td><td>3.814</td><td>3.814</td><td>23405</td><td>11.22e-6</td><td>3.7668</td><td>67.18</td><td>975.6</td><td>43.33</td></tr><tr><td>Recursive</td><td>3.506</td><td>227.9e-3</td><td>3.734</td><td>3.734</td><td>20579</td><td>11.08e-6</td><td>3.7604</td><td>58.31</td><td>955.1</td><td>38.09</td></tr><tr><td>Recursive2</td><td>3.723</td><td>238.0e-3</td><td>3.961</td><td>3.961</td><td>21219</td><td>11.21e-6</td><td>3.7604</td><td>60.87</td><td>1013.0</td><td>39.28</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>110.6</td><td>110.6</td><td>01:50</td><td>12930525</td><td>8.553e-6</td><td>2.3987</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.996</td><td>21.95</td><td>25.94</td><td>25.945</td><td>1205923</td><td>18.20e-6</td><td>2.2545</td><td>19.85</td><td>23.46</td><td>9.326</td></tr><tr><td>MinVariance</td><td>5.151</td><td>26.41</td><td>31.56</td><td>31.562</td><td>1387717</td><td>19.03e-6</td><td>2.2579</td><td>23.88</td><td>28.54</td><td>10.73</td></tr><tr><td>BSplines</td><td>3.897</td><td>97.25</td><td>101.1</td><td>01:41</td><td>5357205</td><td>18.15e-6</td><td>2.3074</td><td>87.93</td><td>91.46</td><td>41.43</td></tr><tr><td>MinNorm</td><td>5.026</td><td>24.52</td><td>29.55</td><td>29.545</td><td>1296779</td><td>18.91e-6</td><td>2.2569</td><td>22.17</td><td>26.71</td><td>10.03</td></tr><tr><td>MinVolume</td><td>4.442</td><td>29.94</td><td>34.38</td><td>34.379</td><td>1623393</td><td>18.44e-6</td><td>2.2634</td><td>27.07</td><td>31.08</td><td>12.55</td></tr><tr><td>ApproxMinVolume</td><td>4.652</td><td>30.17</td><td>34.82</td><td>34.825</td><td>1627995</td><td>18.53e-6</td><td>2.2634</td><td>27.28</td><td>31.49</td><td>12.59</td></tr><tr><td>Recursive</td><td>4.084</td><td>26.18</td><td>30.26</td><td>30.264</td><td>1441133</td><td>18.17e-6</td><td>2.2545</td><td>23.67</td><td>27.36</td><td>11.15</td></tr><tr><td>Recursive2</td><td>4.038</td><td>28.74</td><td>32.78</td><td>32.777</td><td>1546739</td><td>18.58e-6</td><td>2.2545</td><td>25.98</td><td>29.64</td><td>11.96</td></tr><tr><td>Interval</td><td>38.15e-6</td><td>6143</td><td>6143</td><td>01:42:23</td><td>616168033</td><td>9.970e-6</td><td>1.5549</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.69</td><td>7445</td><td>7518</td><td>02:05:18</td><td>175378943</td><td>42.45e-6</td><td>1.5150</td><td>121.2</td><td>122.4</td><td>28.46</td></tr><tr><td>MinVariance</td><td>78.45</td><td>9560</td><td>9639</td><td>02:40:39</td><td>220580649</td><td>43.34e-6</td><td>1.5198</td><td>155.6</td><td>156.9</td><td>35.80</td></tr><tr><td>BSplines</td><td>73.27</td><td>58059</td><td>58132</td><td>16:08:52</td><td>1352073687</td><td>42.94e-6</td><td>1.5759</td><td>945.1</td><td>946.3</td><td>219.4</td></tr><tr><td>MinNorm</td><td>78.37</td><td>8478</td><td>8556</td><td>02:22:36</td><td>198405669</td><td>42.73e-6</td><td>1.5175</td><td>138.0</td><td>139.3</td><td>32.20</td></tr><tr><td>MinVolume</td><td>75.67</td><td>11531</td><td>11607</td><td>03:13:27</td><td>269789155</td><td>42.74e-6</td><td>1.5237</td><td>187.7</td><td>188.9</td><td>43.78</td></tr><tr><td>ApproxMinVolume</td><td>75.80</td><td>11636</td><td>11712</td><td>03:15:12</td><td>271631213</td><td>42.84e-6</td><td>1.5239</td><td>189.4</td><td>190.7</td><td>44.08</td></tr><tr><td>Recursive</td><td>72.76</td><td>7790</td><td>7863</td><td>02:11:03</td><td>181314233</td><td>42.97e-6</td><td>1.5150</td><td>126.8</td><td>128.0</td><td>29.43</td></tr><tr><td>Recursive2</td><td>73.70</td><td>12257</td><td>12331</td><td>03:25:31</td><td>285505293</td><td>42.93e-6</td><td>1.5150</td><td>199.5</td><td>200.7</td><td>46.34</td></tr></tbody></table>
<table><caption>Table 39: Bissection of problem 2D with problem: 11, 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>43.74e-3</td><td>43.77e-3</td><td>0.044</td><td>6201</td><td>7.053e-6</td><td>80.714</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>691.8e-3</td><td>12.82e-3</td><td>704.7e-3</td><td>0.705</td><td>5255</td><td>2.439e-6</td><td>80.593</td><td>29.30</td><td>1610.0</td><td>84.74</td></tr><tr><td>MinVariance</td><td>761.7e-3</td><td>12.93e-3</td><td>774.6e-3</td><td>0.775</td><td>5255</td><td>2.461e-6</td><td>80.595</td><td>29.57</td><td>1769.9</td><td>84.74</td></tr><tr><td>BSplines</td><td>770.7e-3</td><td>15.80e-3</td><td>786.5e-3</td><td>0.786</td><td>6889</td><td>2.293e-6</td><td>80.623</td><td>36.12</td><td>1797.0</td><td>111.1</td></tr><tr><td>MinNorm</td><td>762.0e-3</td><td>13.79e-3</td><td>775.8e-3</td><td>0.776</td><td>5255</td><td>2.624e-6</td><td>80.594</td><td>31.52</td><td>1772.5</td><td>84.74</td></tr><tr><td>MinVolume</td><td>755.0e-3</td><td>13.01e-3</td><td>768.0e-3</td><td>0.768</td><td>5259</td><td>2.474e-6</td><td>80.597</td><td>29.75</td><td>1754.8</td><td>84.81</td></tr><tr><td>ApproxMinVolume</td><td>745.9e-3</td><td>13.01e-3</td><td>759.0e-3</td><td>0.759</td><td>5259</td><td>2.475e-6</td><td>80.597</td><td>29.76</td><td>1734.1</td><td>84.81</td></tr><tr><td>Recursive</td><td>742.6e-3</td><td>13.17e-3</td><td>755.8e-3</td><td>0.756</td><td>5255</td><td>2.506e-6</td><td>80.593</td><td>30.11</td><td>1726.8</td><td>84.74</td></tr><tr><td>Recursive2</td><td>730.5e-3</td><td>13.07e-3</td><td>743.6e-3</td><td>0.744</td><td>5259</td><td>2.486e-6</td><td>80.593</td><td>29.80</td><td>1699.0</td><td>84.81</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>28.85e-6</td><td>4.257</td><td>4.257</td><td>4.257</td><td>499955</td><td>8.515e-6</td><td>85.311</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.475</td><td>693.0e-3</td><td>2.168</td><td>2.168</td><td>113247</td><td>6.119e-6</td><td>85.168</td><td>16.28</td><td>50.93</td><td>22.65</td></tr><tr><td>MinVariance</td><td>1.507</td><td>742.6e-3</td><td>2.249</td><td>2.249</td><td>121201</td><td>6.127e-6</td><td>85.172</td><td>17.44</td><td>52.83</td><td>24.24</td></tr><tr><td>BSplines</td><td>1.422</td><td>1.352</td><td>2.774</td><td>2.774</td><td>241357</td><td>5.601e-6</td><td>85.215</td><td>31.76</td><td>65.16</td><td>48.28</td></tr><tr><td>MinNorm</td><td>1.515</td><td>724.0e-3</td><td>2.239</td><td>2.239</td><td>117675</td><td>6.153e-6</td><td>85.170</td><td>17.01</td><td>52.59</td><td>23.54</td></tr><tr><td>MinVolume</td><td>1.487</td><td>773.9e-3</td><td>2.261</td><td>2.261</td><td>130179</td><td>5.945e-6</td><td>85.175</td><td>18.18</td><td>53.12</td><td>26.04</td></tr><tr><td>ApproxMinVolume</td><td>1.457</td><td>786.0e-3</td><td>2.243</td><td>2.243</td><td>130265</td><td>6.034e-6</td><td>85.175</td><td>18.46</td><td>52.70</td><td>26.06</td></tr><tr><td>Recursive</td><td>1.454</td><td>696.7e-3</td><td>2.150</td><td>2.150</td><td>113301</td><td>6.149e-6</td><td>85.168</td><td>16.36</td><td>50.51</td><td>22.66</td></tr><tr><td>Recursive2</td><td>1.456</td><td>693.7e-3</td><td>2.149</td><td>2.149</td><td>113401</td><td>6.117e-6</td><td>85.168</td><td>16.30</td><td>50.49</td><td>22.68</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>41.96e-6</td><td>695.6</td><td>695.6</td><td>11:35</td><td>77288077</td><td>9.000e-6</td><td>100.24</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>12.20</td><td>202.3</td><td>214.6</td><td>03:34</td><td>9213753</td><td>21.96e-6</td><td>100.11</td><td>29.09</td><td>30.84</td><td>11.92</td></tr><tr><td>MinVariance</td><td>15.72</td><td>259.2</td><td>275.0</td><td>04:34</td><td>10380873</td><td>24.97e-6</td><td>100.12</td><td>37.27</td><td>39.53</td><td>13.43</td></tr><tr><td>BSplines</td><td>12.12</td><td>692.0</td><td>704.1</td><td>11:44</td><td>31847981</td><td>21.73e-6</td><td>100.19</td><td>99.48</td><td>101.2</td><td>41.21</td></tr><tr><td>MinNorm</td><td>15.50</td><td>239.1</td><td>254.6</td><td>04:14</td><td>9832741</td><td>24.32e-6</td><td>100.12</td><td>34.38</td><td>36.61</td><td>12.72</td></tr><tr><td>MinVolume</td><td>13.18</td><td>266.6</td><td>279.8</td><td>04:39</td><td>11579667</td><td>23.03e-6</td><td>100.12</td><td>38.33</td><td>40.23</td><td>14.98</td></tr><tr><td>ApproxMinVolume</td><td>12.79</td><td>266.9</td><td>279.7</td><td>04:39</td><td>11610223</td><td>22.99e-6</td><td>100.13</td><td>38.37</td><td>40.21</td><td>15.02</td></tr><tr><td>Recursive</td><td>15.38</td><td>220.5</td><td>235.9</td><td>03:55</td><td>9214625</td><td>23.93e-6</td><td>100.11</td><td>31.71</td><td>33.92</td><td>11.92</td></tr><tr><td>Recursive2</td><td>16.04</td><td>214.8</td><td>230.8</td><td>03:50</td><td>9227713</td><td>23.28e-6</td><td>100.11</td><td>30.88</td><td>33.19</td><td>11.94</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>26.00e-6</td><td>3816650</td><td>3816650</td><td>44:04:10:50</td><td>332508609898</td><td>11.48e-6</td><td>116.26</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.03</td><td>898240</td><td>898240</td><td>10:09:30:40</td><td>25402855453</td><td>35.36e-6</td><td>116.06</td><td>23.53</td><td>23.53</td><td>7.640</td></tr><tr><td>MinVariance</td><td>75.21</td><td>994446</td><td>994447</td><td>11:12:14:07</td><td>28243217283</td><td>35.21e-6</td><td>116.06</td><td>26.06</td><td>26.06</td><td>8.494</td></tr><tr><td>BSplines</td><td>72.18</td><td>2646170</td><td>2646170</td><td>30:15:02:50</td><td>79307433212</td><td>33.37e-6</td><td>116.16</td><td>69.33</td><td>69.33</td><td>23.85</td></tr><tr><td>MinNorm</td><td>74.89</td><td>971299</td><td>971299</td><td>11:05:48:19</td><td>26920339237</td><td>36.08e-6</td><td>116.06</td><td>25.45</td><td>25.45</td><td>8.096</td></tr><tr><td>MinVolume</td><td>73.73</td><td>1126030</td><td>1126030</td><td>13:00:47:10</td><td>31113385003</td><td>36.17e-6</td><td>116.07</td><td>29.50</td><td>29.50</td><td>9.363</td></tr><tr><td>ApproxMinVolume</td><td>73.19</td><td>1100940</td><td>1100940</td><td>12:17:49:00</td><td>31210072477</td><td>35.28e-6</td><td>116.07</td><td>28.85</td><td>28.85</td><td>9.386</td></tr><tr><td>Recursive</td><td>72.18</td><td>907914</td><td>907914</td><td>10:12:11:54</td><td>25402856395</td><td>35.74e-6</td><td>116.06</td><td>23.79</td><td>23.79</td><td>7.640</td></tr><tr><td>Recursive2</td><td>72.48</td><td>896919</td><td>896919</td><td>10:09:08:39</td><td>25463250249</td><td>35.22e-6</td><td>116.06</td><td>23.50</td><td>23.50</td><td>7.658</td></tr><tr><td rowspan="20">0.01</td><td rowspan="10">2</td><td>Interval</td><td>30.04e-6</td><td>9.795e-3</td><td>9.825e-3</td><td>0.010</td><td>1101</td><td>8.896e-6</td><td>82.162</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>694.3e-3</td><td>5.069e-3</td><td>699.4e-3</td><td>0.699</td><td>845</td><td>5.999e-6</td><td>81.681</td><td>51.75</td><td>7118.9</td><td>76.75</td></tr><tr><td>MinVariance</td><td>693.1e-3</td><td>5.367e-3</td><td>698.5e-3</td><td>0.698</td><td>849</td><td>6.322e-6</td><td>81.700</td><td>54.79</td><td>7109.2</td><td>77.11</td></tr><tr><td>BSplines</td><td>683.4e-3</td><td>5.454e-3</td><td>688.8e-3</td><td>0.689</td><td>1001</td><td>5.448e-6</td><td>81.923</td><td>55.68</td><td>7011.0</td><td>90.92</td></tr><tr><td>MinNorm</td><td>669.0e-3</td><td>5.376e-3</td><td>674.4e-3</td><td>0.674</td><td>845</td><td>6.362e-6</td><td>81.692</td><td>54.89</td><td>6864.1</td><td>76.75</td></tr><tr><td>MinVolume</td><td>657.8e-3</td><td>4.988e-3</td><td>662.8e-3</td><td>0.663</td><td>849</td><td>5.875e-6</td><td>81.718</td><td>50.92</td><td>6746.2</td><td>77.11</td></tr><tr><td>ApproxMinVolume</td><td>684.3e-3</td><td>4.737e-3</td><td>689.0e-3</td><td>0.689</td><td>849</td><td>5.580e-6</td><td>81.719</td><td>48.36</td><td>7012.8</td><td>77.11</td></tr><tr><td>Recursive</td><td>716.9e-3</td><td>4.742e-3</td><td>721.6e-3</td><td>0.722</td><td>845</td><td>5.612e-6</td><td>81.681</td><td>48.41</td><td>7345.0</td><td>76.75</td></tr><tr><td>Recursive2</td><td>730.9e-3</td><td>5.018e-3</td><td>736.0e-3</td><td>0.736</td><td>849</td><td>5.910e-6</td><td>81.681</td><td>51.23</td><td>7490.7</td><td>77.11</td></tr><tr><td>Interval</td><td>32.19e-6</td><td>368.2e-3</td><td>368.2e-3</td><td>0.368</td><td>42531</td><td>8.657e-6</td><td>87.099</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.438</td><td>90.69e-3</td><td>1.528</td><td>1.528</td><td>13049</td><td>6.950e-6</td><td>85.900</td><td>24.63</td><td>415.1</td><td>30.68</td></tr><tr><td>MinVariance</td><td>1.530</td><td>97.62e-3</td><td>1.628</td><td>1.628</td><td>13717</td><td>7.117e-6</td><td>85.929</td><td>26.51</td><td>442.0</td><td>32.25</td></tr><tr><td>BSplines</td><td>1.445</td><td>155.3e-3</td><td>1.600</td><td>1.600</td><td>24337</td><td>6.380e-6</td><td>86.271</td><td>42.17</td><td>434.6</td><td>57.22</td></tr><tr><td>MinNorm</td><td>1.514</td><td>96.11e-3</td><td>1.610</td><td>1.610</td><td>13567</td><td>7.084e-6</td><td>85.916</td><td>26.10</td><td>437.4</td><td>31.90</td></tr><tr><td>MinVolume</td><td>1.465</td><td>107.4e-3</td><td>1.573</td><td>1.573</td><td>14303</td><td>7.510e-6</td><td>85.957</td><td>29.17</td><td>427.1</td><td>33.63</td></tr><tr><td>ApproxMinVolume</td><td>1.479</td><td>99.23e-3</td><td>1.578</td><td>1.578</td><td>14307</td><td>6.936e-6</td><td>85.958</td><td>26.95</td><td>428.5</td><td>33.64</td></tr><tr><td>Recursive</td><td>1.469</td><td>88.11e-3</td><td>1.557</td><td>1.557</td><td>13071</td><td>6.741e-6</td><td>85.900</td><td>23.93</td><td>422.8</td><td>30.73</td></tr><tr><td>Recursive2</td><td>1.490</td><td>92.24e-3</td><td>1.582</td><td>1.582</td><td>13283</td><td>6.944e-6</td><td>85.900</td><td>25.05</td><td>429.7</td><td>31.23</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>30.99e-6</td><td>116.6</td><td>116.6</td><td>01:56</td><td>11876965</td><td>9.821e-6</td><td>102.12</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.07</td><td>26.21</td><td>37.28</td><td>37.279</td><td>1140895</td><td>22.97e-6</td><td>101.19</td><td>22.47</td><td>31.96</td><td>9.606</td></tr><tr><td>MinVariance</td><td>14.40</td><td>32.57</td><td>46.97</td><td>46.969</td><td>1264369</td><td>25.76e-6</td><td>101.24</td><td>27.92</td><td>40.27</td><td>10.65</td></tr><tr><td>BSplines</td><td>11.62</td><td>77.46</td><td>89.08</td><td>01:29</td><td>3338391</td><td>23.20e-6</td><td>101.18</td><td>66.41</td><td>76.37</td><td>28.11</td></tr><tr><td>MinNorm</td><td>14.44</td><td>30.92</td><td>45.37</td><td>45.367</td><td>1204777</td><td>25.67e-6</td><td>101.22</td><td>26.51</td><td>38.89</td><td>10.14</td></tr><tr><td>MinVolume</td><td>12.52</td><td>37.15</td><td>49.67</td><td>49.666</td><td>1390985</td><td>26.71e-6</td><td>101.28</td><td>31.85</td><td>42.58</td><td>11.71</td></tr><tr><td>ApproxMinVolume</td><td>12.32</td><td>34.91</td><td>47.24</td><td>47.237</td><td>1394229</td><td>25.04e-6</td><td>101.28</td><td>29.93</td><td>40.50</td><td>11.74</td></tr><tr><td>Recursive</td><td>14.76</td><td>28.30</td><td>43.07</td><td>43.067</td><td>1141885</td><td>24.79e-6</td><td>101.19</td><td>24.26</td><td>36.92</td><td>9.614</td></tr><tr><td>Recursive2</td><td>15.47</td><td>29.71</td><td>45.18</td><td>45.178</td><td>1150469</td><td>25.82e-6</td><td>101.19</td><td>25.47</td><td>38.73</td><td>9.687</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>34.00e-6</td><td>113499</td><td>113499</td><td>1-07:31:39</td><td>10093545464</td><td>11.24e-6</td><td>119.00</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.55</td><td>36574</td><td>36663</td><td>10:11:03</td><td>906457201</td><td>40.35e-6</td><td>117.60</td><td>32.22</td><td>32.30</td><td>8.981</td></tr><tr><td>MinVariance</td><td>75.23</td><td>40185</td><td>40261</td><td>11:11:01</td><td>997898423</td><td>40.27e-6</td><td>117.67</td><td>35.41</td><td>35.47</td><td>9.887</td></tr><tr><td>BSplines</td><td>95.11</td><td>96464</td><td>96464</td><td>1-02:47:44</td><td>2492665472</td><td>38.70e-6</td><td>118.42</td><td>84.99</td><td>84.99</td><td>24.70</td></tr><tr><td>MinNorm</td><td>97.60</td><td>39116</td><td>39214</td><td>10:53:34</td><td>955524407</td><td>40.94e-6</td><td>117.64</td><td>34.46</td><td>34.55</td><td>9.467</td></tr><tr><td>MinVolume</td><td>95.94</td><td>45460</td><td>45556</td><td>12:39:16</td><td>1089625957</td><td>41.72e-6</td><td>117.73</td><td>40.05</td><td>40.14</td><td>10.80</td></tr><tr><td>ApproxMinVolume</td><td>96.10</td><td>44466</td><td>44562</td><td>12:22:42</td><td>1092053849</td><td>40.72e-6</td><td>117.73</td><td>39.18</td><td>39.26</td><td>10.82</td></tr><tr><td>Recursive</td><td>94.56</td><td>36807</td><td>36901</td><td>10:15:01</td><td>906458069</td><td>40.61e-6</td><td>117.60</td><td>32.43</td><td>32.51</td><td>8.981</td></tr><tr><td>Recursive2</td><td>94.62</td><td>37206</td><td>37300</td><td>10:21:40</td><td>920167267</td><td>40.43e-6</td><td>117.60</td><td>32.78</td><td>32.86</td><td>9.116</td></tr></tbody></table>
<table><caption>Table 40: Bissection of problem 2D with problem: 12, 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>29.09e-6</td><td>48.25e-3</td><td>48.27e-3</td><td>0.048</td><td>5689</td><td>8.480e-6</td><td>56.017</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>767.0e-3</td><td>15.29e-3</td><td>782.4e-3</td><td>0.782</td><td>6851</td><td>2.232e-6</td><td>56.017</td><td>31.69</td><td>1620.6</td><td>120.4</td></tr><tr><td>MinVariance</td><td>765.6e-3</td><td>15.20e-3</td><td>780.8e-3</td><td>0.781</td><td>6851</td><td>2.219e-6</td><td>56.020</td><td>31.52</td><td>1617.5</td><td>120.4</td></tr><tr><td>BSplines</td><td>761.5e-3</td><td>19.25e-3</td><td>780.8e-3</td><td>0.781</td><td>9469</td><td>2.033e-6</td><td>56.047</td><td>39.89</td><td>1617.4</td><td>166.4</td></tr><tr><td>MinNorm</td><td>755.6e-3</td><td>16.02e-3</td><td>771.6e-3</td><td>0.772</td><td>6851</td><td>2.338e-6</td><td>56.019</td><td>33.20</td><td>1598.4</td><td>120.4</td></tr><tr><td>MinVolume</td><td>755.8e-3</td><td>15.53e-3</td><td>771.3e-3</td><td>0.771</td><td>6851</td><td>2.266e-6</td><td>56.022</td><td>32.18</td><td>1597.8</td><td>120.4</td></tr><tr><td>ApproxMinVolume</td><td>738.9e-3</td><td>14.45e-3</td><td>753.4e-3</td><td>0.753</td><td>6851</td><td>2.109e-6</td><td>56.022</td><td>29.96</td><td>1560.6</td><td>120.4</td></tr><tr><td>Recursive</td><td>740.7e-3</td><td>15.04e-3</td><td>755.8e-3</td><td>0.756</td><td>6851</td><td>2.195e-6</td><td>56.017</td><td>31.16</td><td>1565.6</td><td>120.4</td></tr><tr><td>Recursive2</td><td>736.0e-3</td><td>14.60e-3</td><td>750.6e-3</td><td>0.751</td><td>6851</td><td>2.130e-6</td><td>56.017</td><td>30.25</td><td>1554.8</td><td>120.4</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>433.1e-3</td><td>433.1e-3</td><td>0.433</td><td>50389</td><td>8.594e-6</td><td>66.191</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.433</td><td>136.0e-3</td><td>1.569</td><td>1.569</td><td>28091</td><td>4.841e-6</td><td>66.184</td><td>31.40</td><td>362.3</td><td>55.75</td></tr><tr><td>MinVariance</td><td>1.523</td><td>152.8e-3</td><td>1.676</td><td>1.676</td><td>31381</td><td>4.870e-6</td><td>66.188</td><td>35.29</td><td>386.9</td><td>62.28</td></tr><tr><td>BSplines</td><td>1.429</td><td>324.6e-3</td><td>1.754</td><td>1.754</td><td>69753</td><td>4.653e-6</td><td>66.235</td><td>74.95</td><td>404.9</td><td>138.4</td></tr><tr><td>MinNorm</td><td>1.487</td><td>140.5e-3</td><td>1.627</td><td>1.627</td><td>28841</td><td>4.870e-6</td><td>66.186</td><td>32.43</td><td>375.8</td><td>57.24</td></tr><tr><td>MinVolume</td><td>1.475</td><td>163.5e-3</td><td>1.639</td><td>1.639</td><td>33783</td><td>4.838e-6</td><td>66.192</td><td>37.74</td><td>378.3</td><td>67.04</td></tr><tr><td>ApproxMinVolume</td><td>1.480</td><td>163.8e-3</td><td>1.644</td><td>1.644</td><td>33831</td><td>4.841e-6</td><td>66.192</td><td>37.82</td><td>379.6</td><td>67.14</td></tr><tr><td>Recursive</td><td>1.471</td><td>138.7e-3</td><td>1.610</td><td>1.610</td><td>28093</td><td>4.936e-6</td><td>66.184</td><td>32.02</td><td>371.6</td><td>55.75</td></tr><tr><td>Recursive2</td><td>1.470</td><td>138.3e-3</td><td>1.608</td><td>1.608</td><td>28233</td><td>4.897e-6</td><td>66.184</td><td>31.93</td><td>371.4</td><td>56.03</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>30.04e-6</td><td>1417</td><td>1417</td><td>23.37</td><td>150346653</td><td>9.430e-6</td><td>60.598</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.66</td><td>549.3</td><td>560.9</td><td>09.20</td><td>25139993</td><td>21.85e-6</td><td>60.430</td><td>38.74</td><td>39.56</td><td>16.72</td></tr><tr><td>MinVariance</td><td>16.25</td><td>681.0</td><td>697.2</td><td>11.37</td><td>27868497</td><td>24.44e-6</td><td>60.436</td><td>48.03</td><td>49.18</td><td>18.54</td></tr><tr><td>BSplines</td><td>12.29</td><td>1470</td><td>1482</td><td>24.42</td><td>72321471</td><td>20.33e-6</td><td>60.512</td><td>103.7</td><td>104.6</td><td>48.10</td></tr><tr><td>MinNorm</td><td>15.94</td><td>651.4</td><td>667.3</td><td>11.07</td><td>26607425</td><td>24.48e-6</td><td>60.433</td><td>45.94</td><td>47.07</td><td>17.70</td></tr><tr><td>MinVolume</td><td>13.44</td><td>702.5</td><td>715.9</td><td>11.55</td><td>30614197</td><td>22.95e-6</td><td>60.443</td><td>49.55</td><td>50.49</td><td>20.36</td></tr><tr><td>ApproxMinVolume</td><td>13.28</td><td>713.7</td><td>727.0</td><td>12.06</td><td>30685117</td><td>23.26e-6</td><td>60.443</td><td>50.34</td><td>51.27</td><td>20.41</td></tr><tr><td>Recursive</td><td>15.67</td><td>586.4</td><td>602.1</td><td>10.02</td><td>25141171</td><td>23.32e-6</td><td>60.430</td><td>41.36</td><td>42.47</td><td>16.72</td></tr><tr><td>Recursive2</td><td>16.49</td><td>593.3</td><td>609.8</td><td>10.09</td><td>25175567</td><td>23.57e-6</td><td>60.430</td><td>41.85</td><td>43.01</td><td>16.75</td></tr><tr><td>Interval</td><td>30.00e-6</td><td>170808</td><td>170808</td><td>1-23:26:48</td><td>15383108812</td><td>11.10e-6</td><td>68.184</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.23</td><td>50650</td><td>50723</td><td>14:05:23</td><td>1358212637</td><td>37.29e-6</td><td>68.008</td><td>29.65</td><td>29.70</td><td>8.829</td></tr><tr><td>MinVariance</td><td>74.74</td><td>58571</td><td>58646</td><td>16:17:26</td><td>1599006301</td><td>36.63e-6</td><td>68.018</td><td>34.29</td><td>34.33</td><td>10.39</td></tr><tr><td>BSplines</td><td>72.40</td><td>248033</td><td>248033</td><td>2-20:53:53</td><td>7452602707</td><td>33.28e-6</td><td>68.128</td><td>145.2</td><td>145.2</td><td>48.45</td></tr><tr><td>MinNorm</td><td>75.14</td><td>55095</td><td>55170</td><td>15:19:30</td><td>1485401399</td><td>37.09e-6</td><td>68.013</td><td>32.26</td><td>32.30</td><td>9.656</td></tr><tr><td>MinVolume</td><td>73.35</td><td>67899</td><td>67972</td><td>18:52:52</td><td>1856546063</td><td>36.57e-6</td><td>68.027</td><td>39.75</td><td>39.79</td><td>12.07</td></tr><tr><td>ApproxMinVolume</td><td>73.20</td><td>64516</td><td>64589</td><td>17:56:29</td><td>1863535089</td><td>34.62e-6</td><td>68.027</td><td>37.77</td><td>37.81</td><td>12.11</td></tr><tr><td>Recursive</td><td>72.20</td><td>49755</td><td>49828</td><td>13:50:28</td><td>1358757807</td><td>36.62e-6</td><td>68.008</td><td>29.13</td><td>29.17</td><td>8.833</td></tr><tr><td>Recursive2</td><td>72.30</td><td>50615</td><td>50687</td><td>14:04:47</td><td>1372492605</td><td>36.88e-6</td><td>68.008</td><td>29.63</td><td>29.68</td><td>8.922</td></tr><tr><td rowspan="20">5</td><td rowspan="10">4</td><td>Interval</td><td>30.99e-6</td><td>6.804e-3</td><td>6.835e-3</td><td>0.007</td><td>635</td><td>10.71e-6</td><td>57.100</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>722.1e-3</td><td>4.600e-3</td><td>726.7e-3</td><td>0.727</td><td>669</td><td>6.876e-6</td><td>57.100</td><td>67.61</td><td>10632.2</td><td>105.4</td></tr><tr><td>MinVariance</td><td>713.8e-3</td><td>4.508e-3</td><td>718.3e-3</td><td>0.718</td><td>669</td><td>6.738e-6</td><td>57.119</td><td>66.26</td><td>10509.3</td><td>105.4</td></tr><tr><td>BSplines</td><td>721.9e-3</td><td>4.759e-3</td><td>726.7e-3</td><td>0.727</td><td>827</td><td>5.755e-6</td><td>57.342</td><td>69.95</td><td>10632.2</td><td>130.2</td></tr><tr><td>MinNorm</td><td>714.1e-3</td><td>3.952e-3</td><td>718.1e-3</td><td>0.718</td><td>669</td><td>5.907e-6</td><td>57.110</td><td>58.08</td><td>10506.4</td><td>105.4</td></tr><tr><td>MinVolume</td><td>712.9e-3</td><td>4.763e-3</td><td>717.7e-3</td><td>0.718</td><td>669</td><td>7.119e-6</td><td>57.137</td><td>70.00</td><td>10499.9</td><td>105.4</td></tr><tr><td>ApproxMinVolume</td><td>719.6e-3</td><td>4.364e-3</td><td>724.0e-3</td><td>0.724</td><td>669</td><td>6.523e-6</td><td>57.138</td><td>64.14</td><td>10591.9</td><td>105.4</td></tr><tr><td>Recursive</td><td>728.6e-3</td><td>4.132e-3</td><td>732.7e-3</td><td>0.733</td><td>669</td><td>6.176e-6</td><td>57.100</td><td>60.73</td><td>10720.2</td><td>105.4</td></tr><tr><td>Recursive2</td><td>723.0e-3</td><td>4.089e-3</td><td>727.1e-3</td><td>0.727</td><td>669</td><td>6.112e-6</td><td>57.100</td><td>60.10</td><td>10637.8</td><td>105.4</td></tr><tr><td>Interval</td><td>28.13e-6</td><td>71.59e-3</td><td>71.62e-3</td><td>0.072</td><td>7639</td><td>9.372e-6</td><td>67.355</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.454</td><td>27.98e-3</td><td>1.482</td><td>1.482</td><td>3781</td><td>7.399e-6</td><td>67.294</td><td>39.08</td><td>2069.3</td><td>49.50</td></tr><tr><td>MinVariance</td><td>1.545</td><td>29.96e-3</td><td>1.575</td><td>1.575</td><td>4129</td><td>7.255e-6</td><td>67.327</td><td>41.84</td><td>2198.7</td><td>54.05</td></tr><tr><td>BSplines</td><td>1.474</td><td>60.09e-3</td><td>1.534</td><td>1.534</td><td>8727</td><td>6.886e-6</td><td>67.709</td><td>83.94</td><td>2141.4</td><td>114.2</td></tr><tr><td>MinNorm</td><td>1.533</td><td>28.87e-3</td><td>1.562</td><td>1.562</td><td>3891</td><td>7.419e-6</td><td>67.312</td><td>40.32</td><td>2181.0</td><td>50.94</td></tr><tr><td>MinVolume</td><td>1.466</td><td>32.06e-3</td><td>1.498</td><td>1.498</td><td>4435</td><td>7.228e-6</td><td>67.358</td><td>44.78</td><td>2091.3</td><td>58.06</td></tr><tr><td>ApproxMinVolume</td><td>1.474</td><td>32.36e-3</td><td>1.506</td><td>1.506</td><td>4477</td><td>7.229e-6</td><td>67.359</td><td>45.21</td><td>2103.5</td><td>58.61</td></tr><tr><td>Recursive</td><td>1.492</td><td>27.94e-3</td><td>1.520</td><td>1.520</td><td>3783</td><td>7.385e-6</td><td>67.294</td><td>39.02</td><td>2121.7</td><td>49.52</td></tr><tr><td>Recursive2</td><td>1.500</td><td>30.27e-3</td><td>1.531</td><td>1.531</td><td>3911</td><td>7.740e-6</td><td>67.294</td><td>42.28</td><td>2137.1</td><td>51.20</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>61.70</td><td>61.70</td><td>01:01</td><td>6142375</td><td>10.04e-6</td><td>63.021</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.00</td><td>33.35</td><td>44.36</td><td>44.356</td><td>1399089</td><td>23.84e-6</td><td>61.646</td><td>54.05</td><td>71.89</td><td>22.78</td></tr><tr><td>MinVariance</td><td>14.46</td><td>38.02</td><td>52.48</td><td>52.476</td><td>1529451</td><td>24.86e-6</td><td>61.697</td><td>61.62</td><td>85.05</td><td>24.90</td></tr><tr><td>BSplines</td><td>11.55</td><td>77.90</td><td>89.46</td><td>01:29</td><td>3479963</td><td>22.39e-6</td><td>62.298</td><td>126.3</td><td>145.0</td><td>56.66</td></tr><tr><td>MinNorm</td><td>14.20</td><td>36.15</td><td>50.35</td><td>50.347</td><td>1470797</td><td>24.58e-6</td><td>61.674</td><td>58.59</td><td>81.60</td><td>23.95</td></tr><tr><td>MinVolume</td><td>12.65</td><td>37.54</td><td>50.19</td><td>50.193</td><td>1660565</td><td>22.61e-6</td><td>61.746</td><td>60.84</td><td>81.35</td><td>27.03</td></tr><tr><td>ApproxMinVolume</td><td>12.33</td><td>40.47</td><td>52.80</td><td>52.798</td><td>1663061</td><td>24.34e-6</td><td>61.747</td><td>65.59</td><td>85.57</td><td>27.08</td></tr><tr><td>Recursive</td><td>14.79</td><td>34.30</td><td>49.09</td><td>49.093</td><td>1400123</td><td>24.50e-6</td><td>61.646</td><td>55.60</td><td>79.57</td><td>22.79</td></tr><tr><td>Recursive2</td><td>15.57</td><td>34.44</td><td>50.01</td><td>50.005</td><td>1411423</td><td>24.40e-6</td><td>61.646</td><td>55.81</td><td>81.05</td><td>22.98</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>27.18e-6</td><td>29434</td><td>29434</td><td>08:10:34</td><td>2603706487</td><td>11.30e-6</td><td>71.090</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>94.81</td><td>11565</td><td>11659</td><td>03:14:19</td><td>288983443</td><td>40.02e-6</td><td>69.785</td><td>39.29</td><td>39.61</td><td>11.10</td></tr><tr><td>MinVariance</td><td>97.95</td><td>13135</td><td>13233</td><td>03:40:33</td><td>332202181</td><td>39.54e-6</td><td>69.861</td><td>44.63</td><td>44.96</td><td>12.76</td></tr><tr><td>BSplines</td><td>95.19</td><td>45083</td><td>45179</td><td>12:32:59</td><td>1182102125</td><td>38.14e-6</td><td>70.743</td><td>153.2</td><td>153.5</td><td>45.40</td></tr><tr><td>MinNorm</td><td>97.95</td><td>12736</td><td>12834</td><td>03:33:54</td><td>312037879</td><td>40.82e-6</td><td>69.826</td><td>43.27</td><td>43.60</td><td>11.98</td></tr><tr><td>MinVolume</td><td>96.37</td><td>15124</td><td>15220</td><td>04:13:40</td><td>377164899</td><td>40.10e-6</td><td>69.932</td><td>51.38</td><td>51.71</td><td>14.49</td></tr><tr><td>ApproxMinVolume</td><td>96.02</td><td>15067</td><td>15163</td><td>04:12:43</td><td>378359525</td><td>39.82e-6</td><td>69.934</td><td>51.19</td><td>51.52</td><td>14.53</td></tr><tr><td>Recursive</td><td>95.14</td><td>11803</td><td>11898</td><td>03:18:18</td><td>289393387</td><td>40.79e-6</td><td>69.785</td><td>40.10</td><td>40.42</td><td>11.11</td></tr><tr><td>Recursive2</td><td>94.56</td><td>11867</td><td>11962</td><td>03:19:22</td><td>299896491</td><td>39.57e-6</td><td>69.785</td><td>40.32</td><td>40.64</td><td>11.52</td></tr></tbody></table>
<table><caption>Table 41: Bissection of problem 2D with problem: 13, 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>29.09e-6</td><td>3.001e-3</td><td>3.030e-3</td><td>0.003</td><td>59</td><td>50.86e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>705.3e-3</td><td>3.291e-3</td><td>708.6e-3</td><td>0.709</td><td>41</td><td>80.27e-6</td><td>infeasible</td><td>109.7</td><td>23386.4</td><td>69.49</td></tr><tr><td>MinVariance</td><td>721.2e-3</td><td>3.261e-3</td><td>724.4e-3</td><td>0.724</td><td>41</td><td>79.54e-6</td><td>infeasible</td><td>108.7</td><td>23908.4</td><td>69.49</td></tr><tr><td>BSplines</td><td>722.2e-3</td><td>3.203e-3</td><td>725.4e-3</td><td>0.725</td><td>41</td><td>78.13e-6</td><td>infeasible</td><td>106.7</td><td>23939.2</td><td>69.49</td></tr><tr><td>MinNorm</td><td>729.7e-3</td><td>2.956e-3</td><td>732.7e-3</td><td>0.733</td><td>41</td><td>72.10e-6</td><td>infeasible</td><td>98.50</td><td>24180.8</td><td>69.49</td></tr><tr><td>MinVolume</td><td>732.8e-3</td><td>3.252e-3</td><td>736.0e-3</td><td>0.736</td><td>41</td><td>79.32e-6</td><td>infeasible</td><td>108.4</td><td>24290.7</td><td>69.49</td></tr><tr><td>ApproxMinVolume</td><td>734.1e-3</td><td>3.080e-3</td><td>737.2e-3</td><td>0.737</td><td>41</td><td>75.13e-6</td><td>infeasible</td><td>102.6</td><td>24329.1</td><td>69.49</td></tr><tr><td>Recursive</td><td>726.1e-3</td><td>2.538e-3</td><td>728.6e-3</td><td>0.729</td><td>41</td><td>61.91e-6</td><td>infeasible</td><td>84.58</td><td>24046.3</td><td>69.49</td></tr><tr><td>Recursive2</td><td>714.9e-3</td><td>3.242e-3</td><td>718.2e-3</td><td>0.718</td><td>41</td><td>79.07e-6</td><td>infeasible</td><td>108.0</td><td>23701.8</td><td>69.49</td></tr><tr><td>Interval</td><td>28.85e-6</td><td>388.3e-3</td><td>388.3e-3</td><td>0.388</td><td>47091</td><td>8.246e-6</td><td>45.742</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.401</td><td>196.6e-3</td><td>1.598</td><td>1.598</td><td>42413</td><td>4.635e-6</td><td>45.738</td><td>50.62</td><td>411.4</td><td>90.07</td></tr><tr><td>MinVariance</td><td>1.512</td><td>207.4e-3</td><td>1.719</td><td>1.719</td><td>44035</td><td>4.709e-6</td><td>45.742</td><td>53.40</td><td>442.6</td><td>93.51</td></tr><tr><td>BSplines</td><td>1.460</td><td>523.3e-3</td><td>1.984</td><td>1.984</td><td>114637</td><td>4.565e-6</td><td>45.794</td><td>134.8</td><td>510.8</td><td>243.4</td></tr><tr><td>MinNorm</td><td>1.520</td><td>203.7e-3</td><td>1.724</td><td>1.724</td><td>42977</td><td>4.740e-6</td><td>45.740</td><td>52.46</td><td>443.9</td><td>91.26</td></tr><tr><td>MinVolume</td><td>1.460</td><td>224.4e-3</td><td>1.684</td><td>1.684</td><td>48729</td><td>4.605e-6</td><td>45.746</td><td>57.78</td><td>433.7</td><td>103.5</td></tr><tr><td>ApproxMinVolume</td><td>1.477</td><td>226.9e-3</td><td>1.703</td><td>1.703</td><td>48845</td><td>4.645e-6</td><td>45.746</td><td>58.43</td><td>438.6</td><td>103.7</td></tr><tr><td>Recursive</td><td>1.484</td><td>208.8e-3</td><td>1.693</td><td>1.693</td><td>42415</td><td>4.923e-6</td><td>45.738</td><td>53.78</td><td>436.0</td><td>90.07</td></tr><tr><td>Recursive2</td><td>1.480</td><td>203.2e-3</td><td>1.684</td><td>1.684</td><td>42469</td><td>4.785e-6</td><td>45.738</td><td>52.34</td><td>433.5</td><td>90.18</td></tr><tr><td rowspan="10">3</td><td rowspan="10">4</td><td>Interval</td><td>29.80e-6</td><td>241.2</td><td>241.2</td><td>04:01</td><td>24580165</td><td>9.811e-6</td><td>35.418</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.48</td><td>36.11</td><td>47.59</td><td>47.593</td><td>1561325</td><td>23.13e-6</td><td>35.363</td><td>14.97</td><td>19.74</td><td>6.352</td></tr><tr><td>MinVariance</td><td>15.54</td><td>42.67</td><td>58.22</td><td>58.216</td><td>1713931</td><td>24.90e-6</td><td>35.368</td><td>17.69</td><td>24.14</td><td>6.973</td></tr><tr><td>BSplines</td><td>12.02</td><td>105.9</td><td>117.9</td><td>01:57</td><td>4839681</td><td>21.87e-6</td><td>35.424</td><td>43.90</td><td>48.88</td><td>19.69</td></tr><tr><td>MinNorm</td><td>14.98</td><td>40.34</td><td>55.32</td><td>55.322</td><td>1641753</td><td>24.57e-6</td><td>35.365</td><td>16.73</td><td>22.94</td><td>6.679</td></tr><tr><td>MinVolume</td><td>13.08</td><td>46.43</td><td>59.52</td><td>59.515</td><td>1879393</td><td>24.71e-6</td><td>35.372</td><td>19.26</td><td>24.68</td><td>7.646</td></tr><tr><td>ApproxMinVolume</td><td>12.71</td><td>45.78</td><td>58.49</td><td>58.487</td><td>1883601</td><td>24.30e-6</td><td>35.372</td><td>18.98</td><td>24.25</td><td>7.663</td></tr><tr><td>Recursive</td><td>15.18</td><td>38.11</td><td>53.30</td><td>53.296</td><td>1562159</td><td>24.40e-6</td><td>35.363</td><td>15.80</td><td>22.10</td><td>6.355</td></tr><tr><td>Recursive2</td><td>16.00</td><td>37.75</td><td>53.75</td><td>53.746</td><td>1566041</td><td>24.11e-6</td><td>35.363</td><td>15.65</td><td>22.29</td><td>6.371</td></tr><tr><td>Interval</td><td>29.00e-6</td><td>3000410</td><td>3000410</td><td>34-17:26:50</td><td>260850666595</td><td>11.50e-6</td><td>35.082</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>72.58</td><td>2117520</td><td>2117520</td><td>24-12:12:00</td><td>61306498963</td><td>34.54e-6</td><td>34.945</td><td>70.57</td><td>70.57</td><td>23.50</td></tr><tr><td>MinVariance</td><td>75.23</td><td>2439340</td><td>2439340</td><td>28-05:35:40</td><td>68751908620</td><td>35.48e-6</td><td>34.953</td><td>81.30</td><td>81.30</td><td>26.36</td></tr><tr><td rowspan="15">5</td><td rowspan="10">5</td><td>BSplines</td><td>72.44</td><td>in progress</td><td>> 60 days</td><td>26-10:52:50</td><td>65282125196</td><td>35.01e-6</td><td>34.949</td><td>76.18</td><td>76.18</td><td>25.03</td></tr><tr><td>MinNorm</td><td>74.59</td><td>2285570</td><td>2285570</td><td>30-12:43:30</td><td>76327487668</td><td>34.56e-6</td><td>34.961</td><td>87.91</td><td>87.91</td><td>29.26</td></tr><tr><td>MinVolume</td><td>73.44</td><td>2637810</td><td>2637810</td><td>30-15:30:40</td><td>76528205832</td><td>34.60e-6</td><td>34.961</td><td>88.25</td><td>88.25</td><td>29.34</td></tr><tr><td>ApproxMinVolume</td><td>73.62</td><td>2647840</td><td>2647840</td><td>24-19:43:20</td><td>61374592875</td><td>34.94e-6</td><td>34.945</td><td>71.48</td><td>71.48</td><td>23.53</td></tr><tr><td>Recursive</td><td>71.99</td><td>2144600</td><td>2144600</td><td>24-18:42:50</td><td>61608458341</td><td>34.75e-6</td><td>34.945</td><td>71.36</td><td>71.36</td><td>23.62</td></tr><tr><td>Recursive2</td><td>71.96</td><td>2140970</td><td>2140970</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Interval</td><td>36.00e-6</td><td>3.017e-3</td><td>3.053e-3</td><td>0.003</td><td>59</td><td>51.13e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>724.8e-3</td><td>2.839e-3</td><td>727.6e-3</td><td>0.728</td><td>41</td><td>69.25e-6</td><td>infeasible</td><td>94.10</td><td>23833.2</td><td>69.49</td></tr><tr><td>MinVariance</td><td>719.6e-3</td><td>2.627e-3</td><td>722.3e-3</td><td>0.722</td><td>41</td><td>64.07e-6</td><td>infeasible</td><td>87.07</td><td>23658.4</td><td>69.49</td></tr><tr><td>BSplines</td><td>714.5e-3</td><td>3.092e-3</td><td>717.7e-3</td><td>0.718</td><td>41</td><td>75.42e-6</td><td>infeasible</td><td>102.5</td><td>23506.9</td><td>69.49</td></tr><tr><td>MinNorm</td><td>714.6e-3</td><td>3.238e-3</td><td>717.8e-3</td><td>0.718</td><td>41</td><td>78.97e-6</td><td>infeasible</td><td>107.3</td><td>23512.7</td><td>69.49</td></tr><tr><td>MinVolume</td><td>730.2e-3</td><td>2.911e-3</td><td>733.1e-3</td><td>0.733</td><td>41</td><td>71.00e-6</td><td>infeasible</td><td>96.49</td><td>24012.5</td><td>69.49</td></tr><tr><td>ApproxMinVolume</td><td>727.5e-3</td><td>2.989e-3</td><td>730.5e-3</td><td>0.730</td><td>41</td><td>72.90e-6</td><td>infeasible</td><td>99.08</td><td>23927.5</td><td>69.49</td></tr><tr><td>Recursive</td><td>731.2e-3</td><td>2.848e-3</td><td>734.0e-3</td><td>0.734</td><td>41</td><td>69.46e-6</td><td>infeasible</td><td>94.40</td><td>24043.5</td><td>69.49</td></tr><tr><td>Recursive2</td><td>721.0e-3</td><td>3.965e-3</td><td>725.0e-3</td><td>0.725</td><td>41</td><td>96.70e-6</td><td>infeasible</td><td>131.4</td><td>23747.8</td><td>69.49</td></tr><tr><td>Interval</td><td>32.19e-6</td><td>59.51e-3</td><td>59.54e-3</td><td>0.060</td><td>6985</td><td>8.520e-6</td><td>46.854</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.442</td><td>31.37e-3</td><td>1.474</td><td>1.474</td><td>5031</td><td>6.236e-6</td><td>46.813</td><td>52.72</td><td>2474.8</td><td>72.03</td></tr><tr><td>MinVariance</td><td>1.532</td><td>33.27e-3</td><td>1.566</td><td>1.566</td><td>5233</td><td>6.358e-6</td><td>46.849</td><td>55.90</td><td>2629.2</td><td>74.92</td></tr><tr><td>BSplines</td><td>1.445</td><td>63.53e-3</td><td>1.508</td><td>1.508</td><td>11353</td><td>5.596e-6</td><td>47.265</td><td>106.7</td><td>2533.2</td><td>162.5</td></tr><tr><td>MinNorm</td><td>1.524</td><td>31.97e-3</td><td>1.556</td><td>1.556</td><td>5121</td><td>6.243e-6</td><td>46.833</td><td>53.72</td><td>2613.3</td><td>73.31</td></tr><tr><td>MinVolume</td><td>1.467</td><td>35.01e-3</td><td>1.502</td><td>1.502</td><td>5735</td><td>6.105e-6</td><td>46.883</td><td>58.83</td><td>2522.9</td><td>82.10</td></tr><tr><td>ApproxMinVolume</td><td>1.432</td><td>35.02e-3</td><td>1.467</td><td>1.467</td><td>5739</td><td>6.103e-6</td><td>46.884</td><td>58.85</td><td>2463.9</td><td>82.16</td></tr><tr><td>Recursive</td><td>1.496</td><td>32.88e-3</td><td>1.529</td><td>1.529</td><td>5033</td><td>6.533e-6</td><td>46.813</td><td>55.25</td><td>2567.4</td><td>72.05</td></tr><tr><td>Recursive2</td><td>1.499</td><td>31.78e-3</td><td>1.531</td><td>1.531</td><td>5055</td><td>6.287e-6</td><td>46.813</td><td>53.40</td><td>2571.0</td><td>72.37</td></tr><tr><td>Interval</td><td>29.09e-6</td><td>19.38</td><td>19.38</td><td>19.376</td><td>2000039</td><td>9.688e-6</td><td>36.786</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.15</td><td>6.876</td><td>18.02</td><td>18.023</td><td>2862299</td><td>24.02e-6</td><td>36.315</td><td>35.49</td><td>93.02</td><td>14.31</td></tr><tr><td>MinVariance</td><td>14.46</td><td>8.352</td><td>22.82</td><td>22.817</td><td>312363</td><td>26.71e-6</td><td>36.354</td><td>43.11</td><td>117.8</td><td>15.62</td></tr><tr><td>BSplines</td><td>11.68</td><td>17.66</td><td>29.33</td><td>29.335</td><td>7509003</td><td>23.52e-6</td><td>36.812</td><td>91.14</td><td>151.4</td><td>37.54</td></tr><tr><td rowspan="10">4</td><td rowspan="10">3</td><td>MinNorm</td><td>14.41</td><td>7.739</td><td>22.15</td><td>22.146</td><td>300317</td><td>25.77e-6</td><td>36.337</td><td>39.94</td><td>114.3</td><td>15.02</td></tr><tr><td>MinVolume</td><td>12.58</td><td>8.639</td><td>21.22</td><td>21.217</td><td>338683</td><td>25.51e-6</td><td>36.392</td><td>44.59</td><td>109.5</td><td>16.93</td></tr><tr><td>ApproxMinVolume</td><td>12.53</td><td>8.701</td><td>21.23</td><td>21.235</td><td>339375</td><td>25.64e-6</td><td>36.392</td><td>44.91</td><td>109.6</td><td>16.97</td></tr><tr><td>Recursive</td><td>14.74</td><td>7.528</td><td>22.26</td><td>22.264</td><td>286901</td><td>26.24e-6</td><td>36.315</td><td>38.85</td><td>114.9</td><td>14.34</td></tr><tr><td>Recursive2</td><td>15.75</td><td>7.382</td><td>23.13</td><td>23.134</td><td>290275</td><td>25.43e-6</td><td>36.315</td><td>38.10</td><td>119.4</td><td>14.51</td></tr><tr><td>Interval</td><td>47.92e-6</td><td>17095</td><td>17095</td><td>04:44:55</td><td>1515345213</td><td>11.28e-6</td><td>37.512</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>97.22</td><td>21263</td><td>21361</td><td>05:56:01</td><td>541219863</td><td>39.29e-6</td><td>36.421</td><td>124.4</td><td>125.0</td><td>35.72</td></tr><tr><td>MinVariance</td><td>99.69</td><td>23203</td><td>23303</td><td>06:28:23</td><td>584284547</td><td>39.71e-6</td><td>36.485</td><td>135.7</td><td>136.3</td><td>38.56</td></tr><tr><td>BSplines</td><td>97.43</td><td>43533</td><td>43631</td><td>12:07:11</td><td>1225240721</td><td>35.53e-6</td><td>37.240</td><td>254.7</td><td>255.2</td><td>80.86</td></tr><tr><td>MinNorm</td><td>99.19</td><td>22124</td><td>22224</td><td>06:10:24</td><td>564406655</td><td>39.20e-6</td><td>36.456</td><td>129.4</td><td>130.0</td><td>37.25</td></tr><tr><td>MinVolume</td><td>98.03</td><td>24188</td><td>24286</td><td>06:44:46</td><td>626832997</td><td>38.59e-6</td><td>36.545</td><td>141.5</td><td>142.1</td><td>41.37</td></tr><tr><td>ApproxMinVolume</td><td>98.24</td><td>24568</td><td>24666</td><td>06:51:06</td><td>627964253</td><td>39.12e-6</td><td>36.547</td><td>143.7</td><td>144.3</td><td>41.44</td></tr><tr><td>Recursive</td><td>96.13</td><td>21070</td><td>21166</td><td>05:52:46</td><td>542379289</td><td>38.85e-6</td><td>36.421</td><td>123.3</td><td>123.8</td><td>35.79</td></tr><tr><td>Recursive2</td><td>96.15</td><td>21614</td><td>21710</td><td>06:01:50</td><td>554853507</td><td>38.95e-6</td><td>36.421</td><td>126.4</td><td>127.0</td><td>36.62</td></tr></tbody></table>
<table><caption>Table 42: Bissection of problem 2D with problem: 14, 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>36.02e-3</td><td>36.05e-3</td><td>0.036</td><td>4823</td><td>7.468e-6</td><td>83.601</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>854.3e-3</td><td>9.913e-3</td><td>864.2e-3</td><td>0.864</td><td>2809</td><td>3.529e-6</td><td>83.541</td><td>27.52</td><td>2397.3</td><td>58.24</td></tr><tr><td>MinVariance</td><td>923.4e-3</td><td>10.50e-3</td><td>933.9e-3</td><td>0.934</td><td>2875</td><td>3.651e-6</td><td>83.543</td><td>29.15</td><td>2590.7</td><td>59.61</td></tr><tr><td>BSplines</td><td>867.2e-3</td><td>17.19e-3</td><td>884.4e-3</td><td>0.884</td><td>4905</td><td>3.504e-6</td><td>83.571</td><td>47.72</td><td>2453.4</td><td>101.7</td></tr><tr><td>MinNorm</td><td>911.1e-3</td><td>11.01e-3</td><td>922.1e-3</td><td>0.922</td><td>2843</td><td>3.872e-6</td><td>83.542</td><td>30.56</td><td>2558.0</td><td>58.95</td></tr><tr><td>MinVolume</td><td>887.3e-3</td><td>11.06e-3</td><td>898.3e-3</td><td>0.898</td><td>3021</td><td>3.663e-6</td><td>83.546</td><td>30.72</td><td>2492.1</td><td>62.64</td></tr><tr><td>ApproxMinVolume</td><td>890.7e-3</td><td>11.21e-3</td><td>901.9e-3</td><td>0.902</td><td>3029</td><td>3.702e-6</td><td>83.546</td><td>31.13</td><td>2502.0</td><td>62.80</td></tr><tr><td>Recursive</td><td>864.6e-3</td><td>10.05e-3</td><td>874.7e-3</td><td>0.875</td><td>2939</td><td>3.421e-6</td><td>83.541</td><td>27.91</td><td>2426.4</td><td>60.94</td></tr><tr><td>Recursive2</td><td>860.1e-3</td><td>11.09e-3</td><td>871.3e-3</td><td>0.871</td><td>3059</td><td>3.626e-6</td><td>83.541</td><td>30.80</td><td>2416.9</td><td>63.43</td></tr><tr><td>Interval</td><td>24.08e-6</td><td>1.774</td><td>1.774</td><td>1.774</td><td>213249</td><td>8.320e-6</td><td>86.025</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.369</td><td>606.7e-3</td><td>3.976</td><td>3.976</td><td>55595</td><td>10.91e-6</td><td>85.877</td><td>34.20</td><td>224.1</td><td>26.07</td></tr><tr><td>MinVariance</td><td>4.586</td><td>728.3e-3</td><td>5.314</td><td>5.314</td><td>62805</td><td>11.60e-6</td><td>85.881</td><td>41.05</td><td>299.5</td><td>29.45</td></tr><tr><td>BSplines</td><td>3.517</td><td>2.367</td><td>5.885</td><td>5.885</td><td>206451</td><td>11.47e-6</td><td>85.976</td><td>133.4</td><td>331.7</td><td>96.81</td></tr><tr><td>MinNorm</td><td>4.375</td><td>716.2e-3</td><td>5.091</td><td>5.091</td><td>59763</td><td>11.98e-6</td><td>85.879</td><td>40.37</td><td>287.0</td><td>28.02</td></tr><tr><td>MinVolume</td><td>3.914</td><td>814.5e-3</td><td>4.729</td><td>4.729</td><td>69777</td><td>11.67e-6</td><td>85.884</td><td>45.91</td><td>266.5</td><td>32.72</td></tr><tr><td>ApproxMinVolume</td><td>3.886</td><td>813.8e-3</td><td>4.700</td><td>4.700</td><td>69965</td><td>11.63e-6</td><td>85.884</td><td>45.87</td><td>264.9</td><td>32.81</td></tr><tr><td>Recursive</td><td>3.862</td><td>653.2e-3</td><td>4.515</td><td>4.515</td><td>58397</td><td>11.19e-6</td><td>85.877</td><td>36.82</td><td>254.5</td><td>27.38</td></tr><tr><td>Recursive2</td><td>4.405</td><td>664.6e-3</td><td>5.070</td><td>5.070</td><td>58463</td><td>11.37e-6</td><td>85.877</td><td>37.46</td><td>285.7</td><td>27.42</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>31.95e-6</td><td>1013</td><td>1013</td><td>16.53</td><td>107303901</td><td>9.447e-6</td><td>100.93</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.94</td><td>270.0</td><td>282.0</td><td>04:41</td><td>9471097</td><td>28.51e-6</td><td>100.75</td><td>26.64</td><td>27.82</td><td>8.826</td></tr><tr><td>MinVariance</td><td>16.39</td><td>364.6</td><td>381.0</td><td>06:21</td><td>11603683</td><td>31.42e-6</td><td>100.77</td><td>35.97</td><td>37.58</td><td>10.81</td></tr><tr><td>BSplines</td><td>12.30</td><td>1768</td><td>1780</td><td>29:40</td><td>67821979</td><td>26.08e-6</td><td>100.89</td><td>174.5</td><td>175.7</td><td>63.21</td></tr><tr><td>MinNorm</td><td>15.79</td><td>328.3</td><td>344.1</td><td>05:44</td><td>10650391</td><td>30.83e-6</td><td>100.76</td><td>32.39</td><td>33.94</td><td>9.925</td></tr><tr><td>MinVolume</td><td>13.62</td><td>417.0</td><td>430.6</td><td>07:10</td><td>14026139</td><td>29.73e-6</td><td>100.78</td><td>41.13</td><td>42.48</td><td>13.07</td></tr><tr><td>ApproxMinVolume</td><td>13.42</td><td>415.6</td><td>429.0</td><td>07:08</td><td>14085325</td><td>29.50e-6</td><td>100.78</td><td>40.99</td><td>42.32</td><td>13.13</td></tr><tr><td>Recursive</td><td>16.50</td><td>321.3</td><td>337.9</td><td>05:37</td><td>10779077</td><td>29.81e-6</td><td>100.75</td><td>31.70</td><td>33.33</td><td>10.05</td></tr><tr><td>Recursive2</td><td>16.47</td><td>339.4</td><td>355.9</td><td>05:55</td><td>11136901</td><td>30.48e-6</td><td>100.75</td><td>33.48</td><td>35.11</td><td>10.38</td></tr><tr><td>Interval</td><td>25.00e-6</td><td>1995170</td><td>1995170</td><td>23:02:12:50</td><td>173200756883</td><td>11.52e-6</td><td>116.70</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.67</td><td>661458</td><td>661458</td><td>7-15:44:18</td><td>13045910696</td><td>50.70e-6</td><td>116.43</td><td>33.15</td><td>33.15</td><td>7.532</td></tr><tr><td>MinVariance</td><td>77.92</td><td>886887</td><td>886887</td><td>10-06:21:27</td><td>17189193207</td><td>51.60e-6</td><td>116.44</td><td>44.45</td><td>44.45</td><td>9.924</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>73.32</td><td>in progress</td><td>> 60 days</td><td>8-22:41:39</td><td>15174903006</td><td>50.93e-6</td><td>116.44</td><td>38.74</td><td>38.74</td><td>8.761</td></tr><tr><td>Bernstein</td><td>77.22</td><td>772899</td><td>772899</td><td>8-22:41:39</td><td>21674327482</td><td>50.40e-6</td><td>116.46</td><td>54.75</td><td>54.75</td><td>12.51</td></tr><tr><td>MinNorm</td><td>75.53</td><td>1092440</td><td>1092440</td><td>12-15:27:20</td><td>21786841964</td><td>50.53e-6</td><td>116.46</td><td>55.18</td><td>55.18</td><td>12.58</td></tr><tr><td>MinVolume</td><td>75.42</td><td>1100950</td><td>1100950</td><td>12-17:49:10</td><td>14719896737</td><td>50.91e-6</td><td>116.43</td><td>37.56</td><td>37.56</td><td>8.499</td></tr><tr><td>ApproxMinVolume</td><td>74.02</td><td>749353</td><td>749354</td><td>8-16:09:14</td><td>14436020885</td><td>51.06e-6</td><td>116.43</td><td>36.94</td><td>36.94</td><td>8.335</td></tr><tr><td>Recursive</td><td>74.00</td><td>737086</td><td>737086</td><td>8-12:44:46</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Recursive2</td><td>27.89e-6</td><td>9.498e-3</td><td>9.526e-3</td><td>0.010</td><td>1021</td><td>9.303e-6</td><td>84.553</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>849.4e-3</td><td>5.055e-3</td><td>854.5e-3</td><td>0.854</td><td>691</td><td>7.315e-6</td><td>84.078</td><td>53.22</td><td>8970.2</td><td>67.68</td></tr><tr><td>MinVariance</td><td>903.7e-3</td><td>5.640e-3</td><td>909.4e-3</td><td>0.909</td><td>723</td><td>7.801e-6</td><td>84.097</td><td>59.38</td><td>9546.3</td><td>70.81</td></tr><tr><td>BSplines</td><td>852.5e-3</td><td>7.858e-3</td><td>860.4e-3</td><td>0.860</td><td>1319</td><td>5.958e-6</td><td>84.792</td><td>82.73</td><td>9032.0</td><td>129.2</td></tr><tr><td>MinNorm</td><td>910.3e-3</td><td>5.608e-3</td><td>916.0e-3</td><td>0.916</td><td>705</td><td>7.955e-6</td><td>84.088</td><td>59.05</td><td>9615.5</td><td>69.05</td></tr><tr><td>MinVolume</td><td>903.7e-3</td><td>5.788e-3</td><td>909.5e-3</td><td>0.909</td><td>779</td><td>7.430e-6</td><td>84.115</td><td>60.94</td><td>9547.4</td><td>76.30</td></tr><tr><td>ApproxMinVolume</td><td>896.1e-3</td><td>5.675e-3</td><td>901.8e-3</td><td>0.902</td><td>787</td><td>7.211e-6</td><td>84.115</td><td>59.75</td><td>9466.5</td><td>77.08</td></tr><tr><td>Recursive</td><td>876.4e-3</td><td>5.653e-3</td><td>882.1e-3</td><td>0.882</td><td>809</td><td>6.988e-6</td><td>84.078</td><td>59.52</td><td>9259.9</td><td>79.24</td></tr><tr><td>Recursive2</td><td>869.8e-3</td><td>6.037e-3</td><td>875.8e-3</td><td>0.876</td><td>927</td><td>6.512e-6</td><td>84.078</td><td>63.56</td><td>9194.2</td><td>90.79</td></tr><tr><td>Interval</td><td>27.89e-6</td><td>339.1e-3</td><td>339.1e-3</td><td>0.339</td><td>40055</td><td>8.465e-6</td><td>87.774</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.233</td><td>134.8e-3</td><td>3.367</td><td>3.367</td><td>11107</td><td>12.14e-6</td><td>86.563</td><td>39.76</td><td>993.0</td><td>27.73</td></tr><tr><td>MinVariance</td><td>4.592</td><td>162.8e-3</td><td>4.754</td><td>4.754</td><td>13529</td><td>12.03e-6</td><td>86.773</td><td>48.00</td><td>1402.0</td><td>33.78</td></tr><tr><td>BSplines</td><td>3.541</td><td>629.1e-3</td><td>4.170</td><td>4.170</td><td>51893</td><td>12.12e-6</td><td>87.383</td><td>185.5</td><td>1229.7</td><td>129.6</td></tr><tr><td>MinNorm</td><td>4.493</td><td>154.1e-3</td><td>4.647</td><td>4.647</td><td>12393</td><td>12.44e-6</td><td>86.578</td><td>45.45</td><td>1370.5</td><td>30.94</td></tr><tr><td>MinVolume</td><td>3.915</td><td>201.7e-3</td><td>4.116</td><td>4.116</td><td>15435</td><td>13.07e-6</td><td>86.800</td><td>59.49</td><td>1213.9</td><td>38.53</td></tr><tr><td>ApproxMinVolume</td><td>3.930</td><td>195.7e-3</td><td>4.126</td><td>4.126</td><td>15479</td><td>12.64e-6</td><td>86.801</td><td>57.70</td><td>1216.7</td><td>38.64</td></tr><tr><td>Recursive</td><td>3.910</td><td>174.4e-3</td><td>4.084</td><td>4.084</td><td>13587</td><td>12.84e-6</td><td>86.563</td><td>51.43</td><td>1204.4</td><td>33.92</td></tr><tr><td>Recursive2</td><td>4.176</td><td>176.0e-3</td><td>4.352</td><td>4.352</td><td>13837</td><td>12.72e-6</td><td>86.563</td><td>51.90</td><td>1283.2</td><td>34.55</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>32.90e-6</td><td>110.7</td><td>110.7</td><td>01:50</td><td>11096569</td><td>9.973e-6</td><td>103.16</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.56</td><td>29.44</td><td>41.01</td><td>41.007</td><td>1021607</td><td>28.82e-6</td><td>101.86</td><td>26.61</td><td>37.06</td><td>9.207</td></tr><tr><td>MinVariance</td><td>15.33</td><td>39.67</td><td>55.00</td><td>55.001</td><td>1218059</td><td>32.57e-6</td><td>101.91</td><td>35.85</td><td>49.70</td><td>10.98</td></tr><tr><td>BSplines</td><td>12.00</td><td>233.9</td><td>245.9</td><td>04:05</td><td>8057913</td><td>29.03e-6</td><td>101.03</td><td>211.4</td><td>222.2</td><td>72.62</td></tr><tr><td>MinNorm</td><td>15.06</td><td>33.45</td><td>48.51</td><td>48.509</td><td>1115049</td><td>30.00e-6</td><td>101.89</td><td>30.23</td><td>43.84</td><td>10.05</td></tr><tr><td>MinVolume</td><td>13.12</td><td>43.06</td><td>56.18</td><td>56.182</td><td>1534897</td><td>28.05e-6</td><td>101.96</td><td>38.91</td><td>50.77</td><td>13.83</td></tr><tr><td>ApproxMinVolume</td><td>13.26</td><td>47.12</td><td>60.38</td><td>01:00</td><td>1542431</td><td>30.55e-6</td><td>101.97</td><td>42.58</td><td>54.56</td><td>13.90</td></tr><tr><td>Recursive</td><td>16.10</td><td>59.20</td><td>75.31</td><td>01:15</td><td>1922313</td><td>30.80e-6</td><td>101.86</td><td>53.50</td><td>68.05</td><td>17.32</td></tr><tr><td>Recursive2</td><td>16.05</td><td>61.81</td><td>77.87</td><td>01:17</td><td>1989391</td><td>31.07e-6</td><td>101.86</td><td>55.86</td><td>70.36</td><td>17.93</td></tr><tr><td>Interval</td><td>34.00e-6</td><td>98026</td><td>98026</td><td>1-03:13:46</td><td>8552704334</td><td>11.46e-6</td><td>120.04</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>96.61</td><td>30828</td><td>30925</td><td>08:35:25</td><td>583952351</td><td>52.79e-6</td><td>118.05</td><td>31.45</td><td>31.55</td><td>6.828</td></tr><tr><td>MinVariance</td><td>100.9</td><td>40480</td><td>40581</td><td>11:16:21</td><td>754752651</td><td>53.63e-6</td><td>118.16</td><td>41.30</td><td>41.40</td><td>8.825</td></tr><tr><td>BSplines</td><td>96.67</td><td>410518</td><td>410518</td><td>4-18:01:58</td><td>7887363117</td><td>52.05e-6</td><td>120.02</td><td>418.8</td><td>418.8</td><td>92.22</td></tr><tr><td>MinNorm</td><td>100.5</td><td>35583</td><td>35683</td><td>09:54:43</td><td>662969935</td><td>53.67e-6</td><td>118.11</td><td>36.30</td><td>36.40</td><td>7.752</td></tr><tr><td>MinVolume</td><td>99.25</td><td>52627</td><td>52726</td><td>14:38:46</td><td>995686331</td><td>52.86e-6</td><td>118.31</td><td>53.69</td><td>53.79</td><td>11.64</td></tr><tr><td>ApproxMinVolume</td><td>99.08</td><td>52002</td><td>52101</td><td>14:28:21</td><td>1002012491</td><td>51.90e-6</td><td>118.31</td><td>53.05</td><td>53.15</td><td>11.72</td></tr><tr><td>Recursive</td><td>96.82</td><td>67647</td><td>67744</td><td>18:49:04</td><td>1282739763</td><td>52.74e-6</td><td>118.05</td><td>69.01</td><td>69.11</td><td>15.00</td></tr><tr><td>Recursive2</td><td>98.12</td><td>55330</td><td>55429</td><td>15:23:49</td><td>1052673995</td><td>52.56e-6</td><td>118.05</td><td>56.44</td><td>56.54</td><td>12.31</td></tr></tbody></table>
<table><caption>Table 43: Bissection of problem 2D with problem: 15, 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>50.07e-6</td><td>39.85e-3</td><td>39.90e-3</td><td>0.040</td><td>5401</td><td>7.379e-6</td><td>56.197</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>865.1e-3</td><td>15.43e-3</td><td>880.6e-3</td><td>0.881</td><td>6275</td><td>2.458e-6</td><td>56.197</td><td>38.71</td><td>2206.8</td><td>116.2</td></tr><tr><td>MinVariance</td><td>945.0e-3</td><td>15.05e-3</td><td>960.1e-3</td><td>0.960</td><td>6289</td><td>2.393e-6</td><td>56.200</td><td>37.77</td><td>2406.2</td><td>116.4</td></tr><tr><td>BSplines</td><td>862.2e-3</td><td>22.87e-3</td><td>885.1e-3</td><td>0.885</td><td>9065</td><td>2.523e-6</td><td>56.287</td><td>57.39</td><td>2218.2</td><td>167.8</td></tr><tr><td>MinNorm</td><td>910.8e-3</td><td>16.04e-3</td><td>926.8e-3</td><td>0.927</td><td>6279</td><td>2.555e-6</td><td>56.199</td><td>40.26</td><td>2322.7</td><td>116.3</td></tr><tr><td>MinVolume</td><td>898.5e-3</td><td>15.74e-3</td><td>914.3e-3</td><td>0.914</td><td>6335</td><td>2.485e-6</td><td>56.202</td><td>39.50</td><td>2291.4</td><td>117.3</td></tr><tr><td>ApproxMinVolume</td><td>882.3e-3</td><td>16.42e-3</td><td>898.8e-3</td><td>0.899</td><td>6335</td><td>2.592e-6</td><td>56.202</td><td>41.20</td><td>2252.5</td><td>117.3</td></tr><tr><td>Recursive</td><td>870.0e-3</td><td>16.40e-3</td><td>886.4e-3</td><td>0.886</td><td>6341</td><td>2.587e-6</td><td>56.197</td><td>41.16</td><td>2221.5</td><td>117.4</td></tr><tr><td>Recursive2</td><td>860.8e-3</td><td>15.76e-3</td><td>876.6e-3</td><td>0.877</td><td>6385</td><td>2.468e-6</td><td>56.197</td><td>39.54</td><td>2196.8</td><td>118.2</td></tr><tr><td>Interval</td><td>25.99e-6</td><td>258.3e-3</td><td>258.3e-3</td><td>0.258</td><td>31049</td><td>8.318e-6</td><td>66.964</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.341</td><td>122.1e-3</td><td>3.463</td><td>3.463</td><td>18367</td><td>6.647e-6</td><td>66.956</td><td>47.28</td><td>1340.9</td><td>59.15</td></tr><tr><td>MinVariance</td><td>4.432</td><td>146.6e-3</td><td>4.579</td><td>4.579</td><td>20859</td><td>7.029e-6</td><td>66.960</td><td>56.77</td><td>1772.7</td><td>67.18</td></tr><tr><td>BSplines</td><td>3.545</td><td>446.6e-3</td><td>3.991</td><td>3.991</td><td>56599</td><td>7.890e-6</td><td>67.056</td><td>172.9</td><td>1545.4</td><td>182.3</td></tr><tr><td>MinNorm</td><td>4.264</td><td>129.9e-3</td><td>4.394</td><td>4.394</td><td>18079</td><td>6.846e-6</td><td>66.958</td><td>50.31</td><td>1701.1</td><td>61.13</td></tr><tr><td>MinVolume</td><td>3.950</td><td>159.9e-3</td><td>4.110</td><td>4.110</td><td>22923</td><td>6.975e-6</td><td>66.964</td><td>61.91</td><td>1591.2</td><td>73.83</td></tr><tr><td>ApproxMinVolume</td><td>4.001</td><td>160.8e-3</td><td>4.161</td><td>4.161</td><td>23005</td><td>6.991e-6</td><td>66.964</td><td>62.28</td><td>1611.2</td><td>74.09</td></tr><tr><td>Recursive</td><td>3.879</td><td>136.4e-3</td><td>4.016</td><td>4.016</td><td>19353</td><td>7.050e-6</td><td>66.956</td><td>52.83</td><td>1554.8</td><td>62.33</td></tr><tr><td>Recursive2</td><td>4.390</td><td>140.7e-3</td><td>4.531</td><td>4.531</td><td>19529</td><td>7.206e-6</td><td>66.956</td><td>54.49</td><td>1754.2</td><td>62.90</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>27.18e-6</td><td>929.3</td><td>929.3</td><td>15.29</td><td>96544501</td><td>9.626e-6</td><td>61.348</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.96</td><td>379.3</td><td>391.3</td><td>06:31</td><td>13437027</td><td>28.23e-6</td><td>61.169</td><td>40.82</td><td>42.11</td><td>13.92</td></tr><tr><td>MinVariance</td><td>16.43</td><td>531.7</td><td>548.2</td><td>09:08</td><td>16759111</td><td>31.73e-6</td><td>61.181</td><td>57.22</td><td>58.99</td><td>17.36</td></tr><tr><td>BSplines</td><td>12.44</td><td>2547</td><td>2560</td><td>42:40</td><td>97052207</td><td>26.25e-6</td><td>61.321</td><td>274.2</td><td>275.5</td><td>100.5</td></tr><tr><td>MinNorm</td><td>15.82</td><td>478.5</td><td>494.3</td><td>08:14</td><td>15145027</td><td>31.60e-6</td><td>61.175</td><td>51.49</td><td>53.19</td><td>15.69</td></tr><tr><td>MinVolume</td><td>13.70</td><td>593.9</td><td>607.6</td><td>10:07</td><td>20367283</td><td>29.16e-6</td><td>61.193</td><td>63.90</td><td>65.38</td><td>21.10</td></tr><tr><td>ApproxMinVolume</td><td>13.62</td><td>577.5</td><td>591.1</td><td>09:51</td><td>20450643</td><td>28.24e-6</td><td>61.193</td><td>62.14</td><td>63.61</td><td>21.18</td></tr><tr><td>Recursive</td><td>16.31</td><td>422.4</td><td>438.7</td><td>07:18</td><td>14214587</td><td>29.72e-6</td><td>61.169</td><td>45.45</td><td>47.21</td><td>14.72</td></tr><tr><td>Recursive2</td><td>16.31</td><td>421.2</td><td>437.5</td><td>07:17</td><td>14326389</td><td>29.40e-6</td><td>61.169</td><td>45.32</td><td>47.08</td><td>14.84</td></tr><tr><td>Interval</td><td>35.00e-6</td><td>185775</td><td>185775</td><td>2:03:36:15</td><td>15954957599</td><td>11.64e-6</td><td>69.047</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.51</td><td>66669</td><td>66743</td><td>18:32:23</td><td>1340720711</td><td>49.73e-6</td><td>68.855</td><td>35.89</td><td>35.93</td><td>8.403</td></tr><tr><td>MinVariance</td><td>77.98</td><td>92447</td><td>92447</td><td>1:01:40:47</td><td>180958420</td><td>51.09e-6</td><td>68.873</td><td>49.76</td><td>49.76</td><td>11.34</td></tr><tr><td>BSplines</td><td>73.81</td><td>1054060</td><td>1054060</td><td>12:04:47:40</td><td>21371905806</td><td>49.32e-6</td><td>69.079</td><td>567.4</td><td>567.4</td><td>134.0</td></tr><tr><td>MinNorm</td><td>77.68</td><td>77880</td><td>77958</td><td>21:39:18</td><td>1584734657</td><td>49.14e-6</td><td>68.865</td><td>41.92</td><td>41.96</td><td>9.933</td></tr><tr><td>MinVolume</td><td>75.46</td><td>117706</td><td>117706</td><td>1:08:41:46</td><td>2376185302</td><td>49.54e-6</td><td>68.890</td><td>63.36</td><td>63.36</td><td>14.89</td></tr><tr><td>ApproxMinVolume</td><td>75.70</td><td>118583</td><td>118584</td><td>1:08:56:24</td><td>2389582382</td><td>49.63e-6</td><td>68.890</td><td>63.83</td><td>63.83</td><td>14.98</td></tr><tr><td>Recursive</td><td>74.75</td><td>77566</td><td>77640</td><td>21:34:00</td><td>1534512633</td><td>50.55e-6</td><td>68.855</td><td>41.75</td><td>41.79</td><td>9.618</td></tr><tr><td>Recursive2</td><td>74.06</td><td>72662</td><td>72736</td><td>20:12:16</td><td>1499283151</td><td>48.46e-6</td><td>68.855</td><td>39.11</td><td>39.15</td><td>9.397</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>27.18e-6</td><td>7.520e-3</td><td>7.547e-3</td><td>0.008</td><td>701</td><td>10.73e-6</td><td>57.100</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>849.6e-3</td><td>4.769e-3</td><td>854.3e-3</td><td>0.854</td><td>603</td><td>7.909e-6</td><td>57.100</td><td>63.42</td><td>11320.2</td><td>86.02</td></tr><tr><td>MinVariance</td><td>915.6e-3</td><td>4.391e-3</td><td>920.0e-3</td><td>0.920</td><td>605</td><td>7.258e-6</td><td>57.119</td><td>58.39</td><td>12189.5</td><td>86.31</td></tr><tr><td>BSplines</td><td>761.4e-3</td><td>5.890e-3</td><td>767.3e-3</td><td>0.767</td><td>949</td><td>6.207e-6</td><td>57.825</td><td>78.33</td><td>10167.2</td><td>135.4</td></tr><tr><td>MinNorm</td><td>780.1e-3</td><td>4.482e-3</td><td>784.6e-3</td><td>0.785</td><td>601</td><td>7.458e-6</td><td>57.110</td><td>59.60</td><td>10395.6</td><td>85.73</td></tr><tr><td>MinVolume</td><td>882.5e-3</td><td>4.833e-3</td><td>887.3e-3</td><td>0.887</td><td>635</td><td>7.611e-6</td><td>57.137</td><td>64.27</td><td>11757.2</td><td>90.58</td></tr><tr><td>ApproxMinVolume</td><td>882.6e-3</td><td>5.047e-3</td><td>887.7e-3</td><td>0.888</td><td>635</td><td>7.948e-6</td><td>57.138</td><td>67.12</td><td>11761.6</td><td>90.58</td></tr><tr><td>Recursive</td><td>864.6e-3</td><td>6.187e-3</td><td>870.8e-3</td><td>0.871</td><td>669</td><td>9.248e-6</td><td>57.100</td><td>82.27</td><td>11538.6</td><td>95.44</td></tr><tr><td>Recursive2</td><td>853.5e-3</td><td>5.786e-3</td><td>859.3e-3</td><td>0.859</td><td>711</td><td>8.138e-6</td><td>57.100</td><td>76.94</td><td>11385.9</td><td>101.4</td></tr><tr><td>Interval</td><td>36.00e-6</td><td>86.95e-3</td><td>86.99e-3</td><td>0.087</td><td>9417</td><td>9.233e-6</td><td>68.518</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.372</td><td>52.88e-3</td><td>3.425</td><td>3.425</td><td>4533</td><td>11.66e-6</td><td>68.447</td><td>60.81</td><td>3937.7</td><td>48.14</td></tr><tr><td>MinVariance</td><td>4.538</td><td>60.45e-3</td><td>4.599</td><td>4.599</td><td>5317</td><td>11.37e-6</td><td>68.480</td><td>69.52</td><td>5287.0</td><td>56.46</td></tr><tr><td>BSplines</td><td>3.481</td><td>301.1e-3</td><td>3.783</td><td>3.783</td><td>26083</td><td>11.54e-6</td><td>69.244</td><td>346.3</td><td>4348.4</td><td>277.0</td></tr><tr><td>MinNorm</td><td>4.470</td><td>61.45e-3</td><td>4.532</td><td>4.532</td><td>4839</td><td>12.70e-6</td><td>68.465</td><td>70.68</td><td>5209.5</td><td>51.39</td></tr><tr><td>MinVolume</td><td>3.940</td><td>78.09e-3</td><td>4.018</td><td>4.018</td><td>6345</td><td>12.31e-6</td><td>68.511</td><td>89.81</td><td>4619.4</td><td>67.38</td></tr><tr><td>ApproxMinVolume</td><td>3.865</td><td>79.24e-3</td><td>3.945</td><td>3.945</td><td>6435</td><td>12.31e-6</td><td>68.512</td><td>91.13</td><td>4534.9</td><td>68.33</td></tr><tr><td>Recursive</td><td>3.832</td><td>72.56e-3</td><td>3.904</td><td>3.904</td><td>5993</td><td>12.11e-6</td><td>68.447</td><td>83.45</td><td>4488.3</td><td>63.64</td></tr><tr><td>Recursive2</td><td>4.240</td><td>70.45e-3</td><td>4.311</td><td>4.311</td><td>6063</td><td>11.62e-6</td><td>68.447</td><td>81.02</td><td>4955.7</td><td>64.38</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>30.99e-6</td><td>51.25</td><td>51.25</td><td>51.246</td><td>5177071</td><td>9.899e-6</td><td>63.828</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.55</td><td>28.83</td><td>40.38</td><td>40.381</td><td>1027045</td><td>28.07e-6</td><td>62.291</td><td>56.25</td><td>78.80</td><td>19.84</td></tr><tr><td>MinVariance</td><td>15.29</td><td>39.34</td><td>54.63</td><td>54.631</td><td>1223649</td><td>32.15e-6</td><td>62.387</td><td>76.77</td><td>106.6</td><td>23.64</td></tr><tr><td>BSplines</td><td>12.11</td><td>177.6</td><td>189.7</td><td>03:09</td><td>6070365</td><td>29.26e-6</td><td>63.535</td><td>346.5</td><td>370.2</td><td>117.3</td></tr><tr><td>MinNorm</td><td>14.87</td><td>36.03</td><td>50.90</td><td>50.903</td><td>1125257</td><td>32.02e-6</td><td>62.323</td><td>70.31</td><td>99.33</td><td>21.74</td></tr><tr><td>MinVolume</td><td>13.25</td><td>45.99</td><td>59.25</td><td>59.247</td><td>1480005</td><td>31.08e-6</td><td>62.454</td><td>89.75</td><td>115.6</td><td>28.59</td></tr><tr><td>ApproxMinVolume</td><td>13.18</td><td>45.26</td><td>58.44</td><td>58.444</td><td>1485739</td><td>30.46e-6</td><td>62.457</td><td>88.32</td><td>114.0</td><td>28.70</td></tr><tr><td>Recursive</td><td>15.90</td><td>41.83</td><td>57.74</td><td>57.738</td><td>1385343</td><td>30.20e-6</td><td>62.291</td><td>81.63</td><td>112.7</td><td>26.76</td></tr><tr><td>Recursive2</td><td>15.95</td><td>41.47</td><td>57.42</td><td>57.422</td><td>1332547</td><td>31.12e-6</td><td>62.291</td><td>80.92</td><td>112.1</td><td>25.74</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>27400</td><td>27400</td><td>07:36:40</td><td>2377764825</td><td>11.52e-6</td><td>72.049</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>97.61</td><td>10874</td><td>10972</td><td>03:02:52</td><td>209003211</td><td>52.03e-6</td><td>70.530</td><td>39.69</td><td>40.04</td><td>8.790</td></tr><tr><td>MinVariance</td><td>102.0</td><td>14916</td><td>15018</td><td>04:10:18</td><td>283306471</td><td>52.65e-6</td><td>70.642</td><td>54.44</td><td>54.81</td><td>11.91</td></tr><tr><td>BSplines</td><td>97.79</td><td>177693</td><td>177693</td><td>2:01:21:33</td><td>3426129813</td><td>51.86e-6</td><td>72.337</td><td>64.85</td><td>64.85</td><td>144.1</td></tr><tr><td>MinNorm</td><td>101.6</td><td>12595</td><td>12697</td><td>03:31:37</td><td>241407431</td><td>52.18e-6</td><td>70.568</td><td>45.97</td><td>46.34</td><td>10.15</td></tr><tr><td>MinVolume</td><td>100.2</td><td>19430</td><td>19531</td><td>05:25:31</td><td>379992167</td><td>51.14e-6</td><td>70.758</td><td>70.91</td><td>71.28</td><td>15.98</td></tr><tr><td>ApproxMinVolume</td><td>100.2</td><td>19540</td><td>19640</td><td>05:27:20</td><td>382600331</td><td>51.07e-6</td><td>70.760</td><td>71.32</td><td>71.68</td><td>16.09</td></tr><tr><td>Recursive</td><td>95.87</td><td>20765</td><td>20861</td><td>05:47:41</td><td>410978353</td><td>50.53e-6</td><td>70.530</td><td>75.79</td><td>76.14</td><td>17.28</td></tr><tr><td>Recursive2</td><td>95.65</td><td>16973</td><td>17069</td><td>04:44:29</td><td>334350021</td><td>50.77e-6</td><td>70.530</td><td>61.95</td><td>62.30</td><td>14.06</td></tr></tbody></table>
<table><caption>Table 44: Bissection of problem 2D with problem: 16, 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>3.119e-3</td><td>3.144e-3</td><td>0.003</td><td>89</td><td>35.04e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>855.6e-3</td><td>3.958e-3</td><td>859.6e-3</td><td>0.860</td><td>65</td><td>60.89e-6</td><td>infeasible</td><td>126.9</td><td>27341.1</td><td>73.03</td></tr><tr><td>MinVariance</td><td>918.3e-3</td><td>3.876e-3</td><td>922.1e-3</td><td>0.922</td><td>61</td><td>63.54e-6</td><td>infeasible</td><td>124.3</td><td>29330.0</td><td>68.54</td></tr><tr><td>B SPLines</td><td>874.8e-3</td><td>3.362e-3</td><td>878.2e-3</td><td>0.878</td><td>111</td><td>30.29e-6</td><td>infeasible</td><td>107.8</td><td>27931.3</td><td>124.7</td></tr><tr><td>MinNorm</td><td>910.2e-3</td><td>3.517e-3</td><td>913.7e-3</td><td>0.914</td><td>59</td><td>59.61e-6</td><td>infeasible</td><td>112.8</td><td>29061.8</td><td>66.29</td></tr><tr><td>MinVolume</td><td>882.7e-3</td><td>3.689e-3</td><td>886.4e-3</td><td>0.886</td><td>69</td><td>53.46e-6</td><td>infeasible</td><td>118.3</td><td>28194.1</td><td>77.53</td></tr><tr><td>ApproxMinVolume</td><td>879.9e-3</td><td>3.200e-3</td><td>883.1e-3</td><td>0.883</td><td>69</td><td>46.38e-6</td><td>infeasible</td><td>102.6</td><td>28088.0</td><td>77.53</td></tr><tr><td>Recursive</td><td>800.3e-3</td><td>3.423e-3</td><td>803.7e-3</td><td>0.804</td><td>91</td><td>37.62e-6</td><td>infeasible</td><td>109.7</td><td>25563.4</td><td>102.2</td></tr><tr><td>Recursive2</td><td>778.2e-3</td><td>4.367e-3</td><td>782.5e-3</td><td>0.783</td><td>119</td><td>36.70e-6</td><td>infeasible</td><td>140.0</td><td>24889.8</td><td>133.7</td></tr><tr><td>Interval</td><td>24.80e-6</td><td>463.5e-3</td><td>463.6e-3</td><td>0.464</td><td>53441</td><td>8.674e-6</td><td>47.608</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.390</td><td>288.9e-3</td><td>3.679</td><td>3.679</td><td>41013</td><td>7.045e-6</td><td>47.567</td><td>62.33</td><td>793.7</td><td>76.74</td></tr><tr><td>MinVariance</td><td>4.694</td><td>334.9e-3</td><td>5.029</td><td>5.029</td><td>43683</td><td>7.667e-6</td><td>47.571</td><td>72.26</td><td>1084.8</td><td>81.74</td></tr><tr><td>B SPLines</td><td>3.548</td><td>1.057</td><td>4.605</td><td>4.605</td><td>132407</td><td>7.983e-6</td><td>47.694</td><td>228.0</td><td>993.5</td><td>247.8</td></tr><tr><td>MinNorm</td><td>4.513</td><td>310.3e-3</td><td>4.824</td><td>4.824</td><td>42199</td><td>7.353e-6</td><td>47.569</td><td>66.94</td><td>1040.6</td><td>78.96</td></tr><tr><td>MinVolume</td><td>3.923</td><td>362.9e-3</td><td>4.286</td><td>4.286</td><td>49189</td><td>7.378e-6</td><td>47.575</td><td>78.29</td><td>924.5</td><td>92.04</td></tr><tr><td>ApproxMinVolume</td><td>3.884</td><td>365.7e-3</td><td>4.249</td><td>4.249</td><td>49229</td><td>7.429e-6</td><td>47.576</td><td>78.90</td><td>916.7</td><td>92.12</td></tr><tr><td>Recursive</td><td>3.880</td><td>292.2e-3</td><td>4.172</td><td>4.172</td><td>41695</td><td>7.009e-6</td><td>47.567</td><td>63.04</td><td>900.0</td><td>78.02</td></tr><tr><td>Recursive2</td><td>4.332</td><td>319.3e-3</td><td>4.651</td><td>4.651</td><td>42411</td><td>7.528e-6</td><td>47.567</td><td>68.88</td><td>1003.4</td><td>79.36</td></tr><tr><td>Interval</td><td>33.86e-6</td><td>95.09</td><td>95.09</td><td>01.35</td><td>9088859</td><td>10.46e-6</td><td>35.729</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.93</td><td>33.32</td><td>45.25</td><td>45.247</td><td>1262695</td><td>26.39e-6</td><td>35.671</td><td>35.04</td><td>47.58</td><td>13.89</td></tr><tr><td>MinVariance</td><td>16.46</td><td>47.02</td><td>63.48</td><td>01.03</td><td>1572127</td><td>29.91e-6</td><td>35.679</td><td>49.45</td><td>66.76</td><td>17.30</td></tr><tr><td>B SPLines</td><td>12.47</td><td>292.3</td><td>304.8</td><td>05.04</td><td>10251133</td><td>28.51e-6</td><td>35.777</td><td>307.4</td><td>320.5</td><td>112.8</td></tr><tr><td>MinNorm</td><td>15.73</td><td>42.35</td><td>58.09</td><td>58.089</td><td>1449681</td><td>29.22e-6</td><td>35.677</td><td>44.54</td><td>61.09</td><td>15.95</td></tr><tr><td>MinVolume</td><td>13.24</td><td>53.45</td><td>66.69</td><td>01.06</td><td>1881215</td><td>28.41e-6</td><td>35.685</td><td>56.21</td><td>70.14</td><td>20.70</td></tr><tr><td>ApproxMinVolume</td><td>12.91</td><td>48.93</td><td>61.84</td><td>01.01</td><td>1889165</td><td>25.90e-6</td><td>35.685</td><td>51.45</td><td>65.03</td><td>20.79</td></tr><tr><td>Recursive</td><td>15.73</td><td>40.61</td><td>56.33</td><td>56.335</td><td>1408319</td><td>28.84e-6</td><td>35.671</td><td>42.71</td><td>59.24</td><td>15.50</td></tr><tr><td>Recursive2</td><td>15.62</td><td>37.55</td><td>53.16</td><td>53.164</td><td>1327707</td><td>28.28e-6</td><td>35.671</td><td>39.48</td><td>55.91</td><td>14.61</td></tr><tr><td>Interval</td><td>29.00e-6</td><td>866015</td><td>866015</td><td>10:00:33.35</td><td>75199201798</td><td>11.52e-6</td><td>35.750</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.44</td><td>716244</td><td>716244</td><td>8-06:57:24</td><td>14233161783</td><td>50.32e-6</td><td>35.610</td><td>82.71</td><td>82.71</td><td>18.93</td></tr><tr><td>MinVariance</td><td>77.30</td><td>976996</td><td>976996</td><td>11-07:23:16</td><td>18975920139</td><td>51.49e-6</td><td>35.626</td><td>112.8</td><td>112.8</td><td>25.23</td></tr><tr><td>B SPLines</td><td>73.86</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>77.87</td><td>854982</td><td>854982</td><td>9-21:29:42</td><td>16650102303</td><td>51.35e-6</td><td>35.618</td><td>98.73</td><td>98.73</td><td>22.14</td></tr><tr><td>MinVolume</td><td>75.83</td><td>1237620</td><td>1237620</td><td>14-07:47:00</td><td>244336785553</td><td>50.65e-6</td><td>35.641</td><td>142.9</td><td>142.9</td><td>32.50</td></tr><tr><td>ApproxMinVolume</td><td>75.14</td><td>1251030</td><td>1251030</td><td>14-11:30:30</td><td>24594361719</td><td>50.87e-6</td><td>35.642</td><td>144.5</td><td>144.5</td><td>32.71</td></tr><tr><td>Recursive</td><td>73.78</td><td>772313</td><td>772313</td><td>8-22:31:53</td><td>15310245251</td><td>50.44e-6</td><td>35.610</td><td>89.18</td><td>89.18</td><td>20.36</td></tr><tr><td>Recursive2</td><td>74.26</td><td>749059</td><td>749059</td><td>8-16:04:19</td><td>14828816662</td><td>50.51e-6</td><td>35.610</td><td>86.49</td><td>86.49</td><td>19.72</td></tr><tr><td>Interval</td><td>27.18e-6</td><td>2.887e-3</td><td>2.914e-3</td><td>0.003</td><td>89</td><td>32.44e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>832.8e-3</td><td>3.245e-3</td><td>836.0e-3</td><td>0.836</td><td>65</td><td>49.92e-6</td><td>infeasible</td><td>112.4</td><td>28687.6</td><td>73.03</td></tr><tr><td>MinVariance</td><td>896.5e-3</td><td>3.170e-3</td><td>899.7e-3</td><td>0.900</td><td>61</td><td>51.97e-6</td><td>infeasible</td><td>109.8</td><td>30874.2</td><td>68.54</td></tr><tr><td>B SPLines</td><td>844.1e-3</td><td>3.699e-3</td><td>847.9e-3</td><td>0.848</td><td>111</td><td>33.32e-6</td><td>infeasible</td><td>128.1</td><td>29094.0</td><td>124.7</td></tr><tr><td>MinNorm</td><td>896.7e-3</td><td>4.362e-3</td><td>901.1e-3</td><td>0.901</td><td>59</td><td>73.93e-6</td><td>infeasible</td><td>151.1</td><td>30920.2</td><td>66.29</td></tr><tr><td>MinVolume</td><td>886.1e-3</td><td>5.657e-3</td><td>891.8e-3</td><td>0.892</td><td>69</td><td>81.99e-6</td><td>infeasible</td><td>196.0</td><td>30602.2</td><td>77.53</td></tr><tr><td>ApproxMinVolume</td><td>882.8e-3</td><td>4.285e-3</td><td>887.1e-3</td><td>0.887</td><td>69</td><td>62.10e-6</td><td>infeasible</td><td>148.4</td><td>30441.5</td><td>77.53</td></tr><tr><td>Recursive</td><td>860.2e-3</td><td>4.379e-3</td><td>864.6e-3</td><td>0.865</td><td>91</td><td>48.12e-6</td><td>infeasible</td><td>151.7</td><td>29668.2</td><td>102.2</td></tr><tr><td>Recursive2</td><td>866.0e-3</td><td>3.594e-3</td><td>869.6e-3</td><td>0.870</td><td>119</td><td>30.20e-6</td><td>infeasible</td><td>124.5</td><td>29841.9</td><td>133.7</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>82.68e-3</td><td>82.71e-3</td><td>0.083</td><td>9493</td><td>8.709e-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>3.281</td><td>56.38e-3</td><td>3.338</td><td>3.338</td><td>5891</td><td>9.570e-6</td><td>48.529</td><td>68.19</td><td>4035.5</td><td>62.06</td></tr><tr><td>MinVariance</td><td>4.611</td><td>63.06e-3</td><td>4.674</td><td>4.674</td><td>6441</td><td>9.790e-6</td><td>48.565</td><td>76.27</td><td>5651.0</td><td>67.85</td></tr><tr><td>B SPLines</td><td>3.513</td><td>201.9e-3</td><td>3.715</td><td>3.715</td><td>20773</td><td>9.717e-6</td><td>49.543</td><td>244.2</td><td>4492.0</td><td>218.8</td></tr><tr><td>MinNorm</td><td>4.383</td><td>58.80e-3</td><td>4.442</td><td>4.442</td><td>6151</td><td>9.560e-6</td><td>48.549</td><td>71.13</td><td>5371.0</td><td>64.80</td></tr><tr><td>MinVolume</td><td>3.872</td><td>79.50e-3</td><td>3.951</td><td>3.951</td><td>7877</td><td>10.09e-6</td><td>48.882</td><td>96.15</td><td>4777.3</td><td>82.98</td></tr><tr><td>ApproxMinVolume</td><td>3.767</td><td>75.22e-3</td><td>3.842</td><td>3.842</td><td>7887</td><td>9.537e-6</td><td>48.882</td><td>90.98</td><td>4645.6</td><td>83.08</td></tr><tr><td>Recursive</td><td>3.868</td><td>66.66e-3</td><td>3.935</td><td>3.935</td><td>6561</td><td>10.16e-6</td><td>48.529</td><td>80.62</td><td>4757.9</td><td>69.11</td></tr><tr><td>Recursive2</td><td>4.343</td><td>73.77e-3</td><td>4.416</td><td>4.416</td><td>7253</td><td>10.17e-6</td><td>48.529</td><td>89.23</td><td>5339.8</td><td>76.40</td></tr><tr><td>Interval</td><td>31.95e-6</td><td>78.05</td><td>78.05</td><td>01:18</td><td>7838819</td><td>9.957e-6</td><td>37.082</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.69</td><td>14.23</td><td>25.92</td><td>25.920</td><td>487613</td><td>29.18e-6</td><td>36.580</td><td>18.23</td><td>33.21</td><td>6.220</td></tr><tr><td>MinVariance</td><td>15.51</td><td>19.68</td><td>35.19</td><td>35.189</td><td>602931</td><td>32.65e-6</td><td>36.618</td><td>25.22</td><td>45.08</td><td>7.692</td></tr><tr><td>B SPLines</td><td>12.01</td><td>103.2</td><td>115.2</td><td>01:55</td><td>3386455</td><td>30.46e-6</td><td>37.505</td><td>132.2</td><td>147.5</td><td>43.20</td></tr><tr><td>MinNorm</td><td>14.78</td><td>17.69</td><td>32.47</td><td>32.471</td><td>538937</td><td>32.83e-6</td><td>36.601</td><td>22.67</td><td>41.60</td><td>6.875</td></tr><tr><td>MinVolume</td><td>13.36</td><td>22.91</td><td>36.27</td><td>36.272</td><td>725055</td><td>31.60e-6</td><td>36.702</td><td>29.35</td><td>46.47</td><td>9.250</td></tr><tr><td>ApproxMinVolume</td><td>13.12</td><td>22.90</td><td>36.02</td><td>36.024</td><td>727749</td><td>31.47e-6</td><td>36.703</td><td>29.34</td><td>46.15</td><td>9.284</td></tr><tr><td>Recursive</td><td>15.99</td><td>21.04</td><td>37.03</td><td>37.027</td><td>680775</td><td>30.91e-6</td><td>36.580</td><td>26.96</td><td>47.44</td><td>8.685</td></tr><tr><td>Recursive2</td><td>15.80</td><td>18.71</td><td>34.51</td><td>34.514</td><td>583135</td><td>32.09e-6</td><td>36.580</td><td>23.98</td><td>44.22</td><td>7.439</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>30.04e-6</td><td>14296</td><td>14296</td><td>03:58:16</td><td>1253896755</td><td>11.40e-6</td><td>38.245</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>95.20</td><td>18616</td><td>18711</td><td>05:11:51</td><td>353805779</td><td>52.62e-6</td><td>37.086</td><td>130.2</td><td>130.9</td><td>28.22</td></tr><tr><td>MinVariance</td><td>98.99</td><td>23482</td><td>23581</td><td>06:33:01</td><td>434809703</td><td>54.01e-6</td><td>37.202</td><td>164.3</td><td>164.9</td><td>34.68</td></tr><tr><td>B SPLines</td><td>96.14</td><td>115764</td><td>115764</td><td>1-08:09:24</td><td>2204613390</td><td>52.51e-6</td><td>38.704</td><td>809.7</td><td>809.7</td><td>175.8</td></tr><tr><td>MinNorm</td><td>98.85</td><td>21223</td><td>21322</td><td>05:55:22</td><td>395877979</td><td>53.61e-6</td><td>37.151</td><td>148.5</td><td>149.1</td><td>31.57</td></tr><tr><td>MinVolume</td><td>97.84</td><td>27058</td><td>27156</td><td>07:32:36</td><td>521431577</td><td>51.89e-6</td><td>37.312</td><td>189.3</td><td>189.9</td><td>41.58</td></tr><tr><td>ApproxMinVolume</td><td>96.05</td><td>27740</td><td>27836</td><td>07:43:56</td><td>523421895</td><td>53.00e-6</td><td>37.313</td><td>194.0</td><td>194.7</td><td>41.74</td></tr><tr><td>Recursive</td><td>94.16</td><td>25520</td><td>25614</td><td>07:06:54</td><td>478738743</td><td>53.31e-6</td><td>37.086</td><td>178.5</td><td>179.2</td><td>38.18</td></tr><tr><td>Recursive2</td><td>94.53</td><td>22335</td><td>22430</td><td>06:13:50</td><td>417985929</td><td>53.44e-6</td><td>37.086</td><td>156.2</td><td>156.9</td><td>33.33</td></tr></tbody></table>
<table><caption>Table 45: Bissection of problem 2D with problem: 17, 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>41.01e-6</td><td>39.26e-3</td><td>39.30e-3</td><td>0.039</td><td>6513</td><td>6.027e-6</td><td>79.256</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>846.4e-3</td><td>16.35e-3</td><td>862.8e-3</td><td>0.863</td><td>5035</td><td>3.248e-6</td><td>79.195</td><td>41.66</td><td>2195.6</td><td>77.31</td></tr><tr><td>MinVariance</td><td>938.5e-3</td><td>16.45e-3</td><td>954.9e-3</td><td>0.955</td><td>5233</td><td>3.143e-6</td><td>79.197</td><td>41.90</td><td>2430.0</td><td>80.35</td></tr><tr><td>BSplines</td><td>889.8e-3</td><td>28.30e-3</td><td>918.1e-3</td><td>0.918</td><td>8647</td><td>3.273e-6</td><td>79.286</td><td>72.09</td><td>2336.4</td><td>132.8</td></tr><tr><td>MinNorm</td><td>966.3e-3</td><td>17.23e-3</td><td>983.5e-3</td><td>0.984</td><td>5101</td><td>3.377e-6</td><td>79.196</td><td>43.89</td><td>2502.9</td><td>78.32</td></tr><tr><td>MinVolume</td><td>914.6e-3</td><td>17.53e-3</td><td>932.2e-3</td><td>0.932</td><td>5431</td><td>3.228e-6</td><td>79.199</td><td>44.66</td><td>2372.1</td><td>83.39</td></tr><tr><td>ApproxMinVolume</td><td>889.6e-3</td><td>17.80e-3</td><td>907.4e-3</td><td>0.907</td><td>5435</td><td>3.275e-6</td><td>79.199</td><td>45.35</td><td>2309.1</td><td>83.45</td></tr><tr><td>Recursive</td><td>871.8e-3</td><td>16.07e-3</td><td>887.9e-3</td><td>0.888</td><td>5145</td><td>3.123e-6</td><td>79.195</td><td>40.94</td><td>2259.4</td><td>79.00</td></tr><tr><td>Recursive2</td><td>870.1e-3</td><td>17.79e-3</td><td>887.9e-3</td><td>0.888</td><td>5271</td><td>3.375e-6</td><td>79.195</td><td>45.32</td><td>2259.5</td><td>80.93</td></tr><tr><td>Interval</td><td>31.95e-6</td><td>1.802</td><td>1.802</td><td>1.802</td><td>234993</td><td>7.670e-6</td><td>80.820</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.385</td><td>642.8e-3</td><td>4.028</td><td>4.028</td><td>66595</td><td>9.652e-6</td><td>80.719</td><td>35.66</td><td>223.4</td><td>28.34</td></tr><tr><td>MinVariance</td><td>4.672</td><td>775.2e-3</td><td>5.447</td><td>5.447</td><td>74839</td><td>10.36e-6</td><td>80.723</td><td>43.01</td><td>302.2</td><td>31.85</td></tr><tr><td>BSplines</td><td>3.578</td><td>2.791</td><td>6.368</td><td>6.368</td><td>255429</td><td>10.92e-6</td><td>80.806</td><td>154.8</td><td>353.3</td><td>108.7</td></tr><tr><td>MinNorm</td><td>4.533</td><td>797.0e-3</td><td>5.330</td><td>5.330</td><td>71603</td><td>11.13e-6</td><td>80.722</td><td>44.22</td><td>295.7</td><td>30.47</td></tr><tr><td>MinVolume</td><td>3.897</td><td>872.2e-3</td><td>4.769</td><td>4.769</td><td>84159</td><td>10.36e-6</td><td>80.727</td><td>48.39</td><td>264.6</td><td>35.81</td></tr><tr><td>ApproxMinVolume</td><td>3.896</td><td>819.2e-3</td><td>4.716</td><td>4.716</td><td>84441</td><td>9.702e-6</td><td>80.727</td><td>45.45</td><td>261.6</td><td>35.93</td></tr><tr><td>Recursive</td><td>3.825</td><td>689.5e-3</td><td>4.514</td><td>4.514</td><td>68411</td><td>10.08e-6</td><td>80.719</td><td>38.25</td><td>250.5</td><td>29.11</td></tr><tr><td>Recursive2</td><td>4.362</td><td>725.5e-3</td><td>5.087</td><td>5.087</td><td>68733</td><td>10.55e-6</td><td>80.719</td><td>40.25</td><td>282.2</td><td>29.25</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>30.99e-6</td><td>1999</td><td>1999</td><td>33.19</td><td>226343431</td><td>8.835e-6</td><td>93.403</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.50</td><td>310.4</td><td>321.9</td><td>05:21</td><td>11132313</td><td>27.88e-6</td><td>93.208</td><td>15.52</td><td>16.10</td><td>4.918</td></tr><tr><td>MinVariance</td><td>16.68</td><td>450.5</td><td>467.2</td><td>07:47</td><td>13945137</td><td>32.30e-6</td><td>93.219</td><td>22.53</td><td>23.36</td><td>6.161</td></tr><tr><td>BSplines</td><td>12.51</td><td>2225</td><td>2238</td><td>37:18</td><td>83778093</td><td>26.57e-6</td><td>93.349</td><td>111.3</td><td>111.9</td><td>37.01</td></tr><tr><td>MinNorm</td><td>16.18</td><td>390.4</td><td>406.6</td><td>06:46</td><td>12565245</td><td>31.07e-6</td><td>93.214</td><td>19.52</td><td>20.33</td><td>5.551</td></tr><tr><td>MinVolume</td><td>13.78</td><td>504.7</td><td>518.5</td><td>08:38</td><td>16878643</td><td>29.90e-6</td><td>93.229</td><td>25.24</td><td>25.92</td><td>7.457</td></tr><tr><td>ApproxMinVolume</td><td>13.60</td><td>502.3</td><td>515.9</td><td>08:35</td><td>16946953</td><td>29.64e-6</td><td>93.229</td><td>25.12</td><td>25.80</td><td>7.487</td></tr><tr><td>Recursive</td><td>16.49</td><td>370.1</td><td>386.6</td><td>06:26</td><td>12239785</td><td>30.24e-6</td><td>93.208</td><td>18.51</td><td>19.33</td><td>5.408</td></tr><tr><td>Recursive2</td><td>16.34</td><td>374.7</td><td>391.1</td><td>06:31</td><td>12310805</td><td>30.44e-6</td><td>93.208</td><td>18.74</td><td>19.55</td><td>5.439</td></tr><tr><td>Interval</td><td>23.00e-6</td><td>2250450</td><td>2250450</td><td>26:01:07:30</td><td>200618424529</td><td>11.22e-6</td><td>107.82</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.41</td><td>377027</td><td>377027</td><td>4:08:43:47</td><td>7407984656</td><td>50.89e-6</td><td>107.48</td><td>16.75</td><td>16.75</td><td>3.693</td></tr><tr><td>MinVariance</td><td>77.73</td><td>491159</td><td>491159</td><td>5:16:25:59</td><td>9615782432</td><td>51.08e-6</td><td>107.49</td><td>21.82</td><td>21.82</td><td>4.793</td></tr><tr><td>BSplines</td><td>73.71</td><td>4652710</td><td>4652710</td><td>53:20:25:10</td><td>94057467869</td><td>49.47e-6</td><td>107.66</td><td>206.7</td><td>206.7</td><td>46.88</td></tr><tr><td>MinNorm</td><td>75.34</td><td>431024</td><td>431024</td><td>4:23:43:44</td><td>8541711916</td><td>50.46e-6</td><td>107.48</td><td>19.15</td><td>19.15</td><td>4.258</td></tr><tr><td>MinVolume</td><td>75.95</td><td>606076</td><td>606076</td><td>7:00:21:16</td><td>12192893464</td><td>49.71e-6</td><td>107.50</td><td>26.93</td><td>26.93</td><td>6.078</td></tr><tr><td>ApproxMinVolume</td><td>75.41</td><td>603068</td><td>603068</td><td>6:23:31:08</td><td>12265852372</td><td>49.17e-6</td><td>107.50</td><td>26.80</td><td>26.80</td><td>6.114</td></tr><tr><td>Recursive</td><td>74.40</td><td>409660</td><td>409660</td><td>4:17:47:40</td><td>8104307124</td><td>50.55e-6</td><td>107.48</td><td>18.20</td><td>18.20</td><td>4.040</td></tr><tr><td>Recursive2</td><td>73.89</td><td>399327</td><td>399327</td><td>4:14:55:27</td><td>8070959330</td><td>49.48e-6</td><td>107.48</td><td>17.74</td><td>17.74</td><td>4.023</td></tr><tr><td rowspan="10">4</td><td>Interval</td><td>23.84e-6</td><td>12.11e-3</td><td>12.13e-3</td><td>0.012</td><td>1441</td><td>8.404e-6</td><td>80.229</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>833.1e-3</td><td>7.175e-3</td><td>840.3e-3</td><td>0.840</td><td>1005</td><td>7.139e-6</td><td>79.743</td><td>59.25</td><td>6925.2</td><td>69.74</td></tr><tr><td>MinVariance</td><td>899.6e-3</td><td>8.409e-3</td><td>908.0e-3</td><td>0.908</td><td>1145</td><td>7.344e-6</td><td>79.762</td><td>69.44</td><td>7483.3</td><td>79.46</td></tr><tr><td>BSplines</td><td>768.6e-3</td><td>10.50e-3</td><td>779.1e-3</td><td>0.779</td><td>2341</td><td>4.485e-6</td><td>80.473</td><td>86.71</td><td>6421.1</td><td>162.5</td></tr><tr><td>MinNorm</td><td>825.2e-3</td><td>6.332e-3</td><td>831.6e-3</td><td>0.832</td><td>1117</td><td>5.669e-6</td><td>79.753</td><td>52.29</td><td>6853.5</td><td>77.52</td></tr><tr><td>MinVolume</td><td>811.8e-3</td><td>7.004e-3</td><td>818.8e-3</td><td>0.819</td><td>1213</td><td>5.774e-6</td><td>79.781</td><td>57.84</td><td>6748.4</td><td>84.18</td></tr><tr><td>ApproxMinVolume</td><td>788.8e-3</td><td>6.475e-3</td><td>795.3e-3</td><td>0.795</td><td>1217</td><td>5.321e-6</td><td>79.781</td><td>53.47</td><td>6554.6</td><td>84.46</td></tr><tr><td>Recursive</td><td>770.5e-3</td><td>8.921e-3</td><td>779.4e-3</td><td>0.779</td><td>1099</td><td>8.118e-6</td><td>79.743</td><td>73.67</td><td>6423.5</td><td>76.27</td></tr><tr><td>Recursive2</td><td>813.5e-3</td><td>7.174e-3</td><td>820.7e-3</td><td>0.821</td><td>1219</td><td>5.885e-6</td><td>79.743</td><td>59.24</td><td>6763.9</td><td>84.59</td></tr><tr><td>Interval</td><td>31.95e-6</td><td>288.9e-3</td><td>288.9e-3</td><td>0.289</td><td>37277</td><td>7.749e-6</td><td>82.293</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.363</td><td>174.7e-3</td><td>3.538</td><td>3.538</td><td>15637</td><td>11.17e-6</td><td>81.625</td><td>60.47</td><td>1224.6</td><td>41.95</td></tr><tr><td>MinVariance</td><td>4.653</td><td>190.5e-3</td><td>4.843</td><td>4.843</td><td>17147</td><td>11.11e-6</td><td>81.656</td><td>65.93</td><td>1676.4</td><td>46.00</td></tr><tr><td>BSplines</td><td>3.528</td><td>559.8e-3</td><td>4.087</td><td>4.087</td><td>52413</td><td>10.68e-6</td><td>82.311</td><td>193.8</td><td>1414.8</td><td>140.6</td></tr><tr><td>MinNorm</td><td>4.446</td><td>172.6e-3</td><td>4.618</td><td>4.618</td><td>16373</td><td>10.54e-6</td><td>81.642</td><td>59.76</td><td>1598.5</td><td>43.92</td></tr><tr><td>MinVolume</td><td>3.872</td><td>212.7e-3</td><td>4.085</td><td>4.085</td><td>18065</td><td>11.22e-6</td><td>81.685</td><td>73.63</td><td>1414.0</td><td>50.88</td></tr><tr><td>ApproxMinVolume</td><td>3.919</td><td>207.3e-3</td><td>4.127</td><td>4.127</td><td>19009</td><td>10.90e-6</td><td>81.686</td><td>71.75</td><td>1428.4</td><td>50.99</td></tr><tr><td>Recursive</td><td>3.800</td><td>180.3e-3</td><td>3.980</td><td>3.980</td><td>17221</td><td>10.47e-6</td><td>81.625</td><td>62.43</td><td>1377.6</td><td>46.20</td></tr><tr><td>Recursive2</td><td>4.255</td><td>189.7e-3</td><td>4.444</td><td>4.444</td><td>17639</td><td>10.75e-6</td><td>81.625</td><td>65.65</td><td>1538.3</td><td>47.32</td></tr><tr><td rowspan="10">5</td><td>Interval</td><td>30.04e-6</td><td>189.6</td><td>189.6</td><td>03:09</td><td>16915625</td><td>11.21e-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>47.38</td><td>59.03</td><td>59:031</td><td>1658429</td><td>28.57e-6</td><td>94.237</td><td>24.99</td><td>31.14</td><td>9.804</td></tr><tr><td>MinVariance</td><td>15.51</td><td>65.07</td><td>80.58</td><td>01:20</td><td>2021301</td><td>32.19e-6</td><td>94.322</td><td>34.32</td><td>42.50</td><td>11.95</td></tr><tr><td>BSplines</td><td>11.99</td><td>342.8</td><td>354.8</td><td>05:54</td><td>11575531</td><td>29.61e-6</td><td>95.378</td><td>180.8</td><td>187.1</td><td>68.43</td></tr><tr><td>MinNorm</td><td>15.40</td><td>58.57</td><td>73.97</td><td>01:13</td><td>1853443</td><td>31.60e-6</td><td>94.302</td><td>30.89</td><td>39.02</td><td>10.96</td></tr><tr><td>MinVolume</td><td>13.40</td><td>76.48</td><td>89.87</td><td>01:29</td><td>2470633</td><td>30.95e-6</td><td>94.416</td><td>40.34</td><td>47.40</td><td>14.61</td></tr><tr><td>ApproxMinVolume</td><td>13.09</td><td>74.99</td><td>88.08</td><td>01:28</td><td>2482491</td><td>30.21e-6</td><td>94.417</td><td>39.55</td><td>46.46</td><td>14.68</td></tr><tr><td>Recursive</td><td>15.74</td><td>76.11</td><td>91.85</td><td>01:31</td><td>2505595</td><td>30.38e-6</td><td>94.237</td><td>40.15</td><td>48.45</td><td>14.81</td></tr><tr><td>Recursive2</td><td>15.85</td><td>78.00</td><td>93.86</td><td>01:33</td><td>2479921</td><td>31.45e-6</td><td>94.237</td><td>41.14</td><td>49.50</td><td>14.66</td></tr><tr><td>Interval</td><td>31.00e-6</td><td>97561</td><td>97561</td><td>1-03:06:01</td><td>8785676254</td><td>11.10e-6</td><td>111.53</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>93.67</td><td>24220</td><td>24313</td><td>06:45:13</td><td>466369727</td><td>51.93e-6</td><td>108.86</td><td>24.83</td><td>24.92</td><td>5.308</td></tr><tr><td>MinVariance</td><td>98.97</td><td>32492</td><td>32591</td><td>09:03:11</td><td>609433693</td><td>53.32e-6</td><td>108.99</td><td>33.30</td><td>33.41</td><td>6.937</td></tr><tr><td>BSplines</td><td>94.04</td><td>297053</td><td>297054</td><td>3-10:30:54</td><td>5822558882</td><td>51.02e-6</td><td>110.49</td><td>304.5</td><td>304.5</td><td>66.27</td></tr><tr><td>MinNorm</td><td>98.11</td><td>28047</td><td>28145</td><td>07:49:05</td><td>534119247</td><td>52.51e-6</td><td>108.92</td><td>28.75</td><td>28.85</td><td>6.079</td></tr><tr><td>MinVolume</td><td>98.14</td><td>41018</td><td>41117</td><td>11:25:17</td><td>788900223</td><td>52.00e-6</td><td>109.10</td><td>42.04</td><td>42.14</td><td>8.979</td></tr><tr><td>ApproxMinVolume</td><td>97.94</td><td>42189</td><td>42287</td><td>11:44:47</td><td>793275339</td><td>53.18e-6</td><td>109.10</td><td>43.24</td><td>43.34</td><td>9.029</td></tr><tr><td>Recursive</td><td>95.92</td><td>42926</td><td>43022</td><td>11:57:02</td><td>808840765</td><td>53.07e-6</td><td>108.86</td><td>44.00</td><td>44.10</td><td>9.206</td></tr><tr><td>Recursive2</td><td>95.36</td><td>37659</td><td>37754</td><td>10:29:14</td><td>712057779</td><td>52.89e-6</td><td>108.86</td><td>38.60</td><td>38.70</td><td>8.105</td></tr></tbody></table>
<table><caption>Table 46: Bissection of problem 2D with problem: 18, 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>32.90e-6</td><td>47.93e-3</td><td>47.96e-3</td><td>0.048</td><td>7049</td><td>6.799e-6</td><td>53.397</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>856.0e-3</td><td>19.65e-3</td><td>875.7e-3</td><td>0.876</td><td>8193</td><td>2.398e-6</td><td>53.397</td><td>40.99</td><td>1825.8</td><td>116.2</td></tr><tr><td>MinVariance</td><td>922.9e-3</td><td>19.54e-3</td><td>942.5e-3</td><td>0.943</td><td>8243</td><td>2.371e-6</td><td>53.400</td><td>40.77</td><td>1965.2</td><td>116.9</td></tr><tr><td>BSplines</td><td>853.0e-3</td><td>29.35e-3</td><td>882.3e-3</td><td>0.882</td><td>12157</td><td>2.414e-6</td><td>53.486</td><td>61.23</td><td>1839.8</td><td>172.5</td></tr><tr><td>MinNorm</td><td>905.0e-3</td><td>19.14e-3</td><td>924.1e-3</td><td>0.924</td><td>8211</td><td>2.331e-6</td><td>53.398</td><td>39.94</td><td>1926.9</td><td>116.5</td></tr><tr><td>MinVolume</td><td>896.5e-3</td><td>19.28e-3</td><td>915.8e-3</td><td>0.916</td><td>8315</td><td>2.318e-6</td><td>53.402</td><td>40.22</td><td>1909.6</td><td>118.0</td></tr><tr><td>ApproxMinVolume</td><td>904.3e-3</td><td>19.88e-3</td><td>924.1e-3</td><td>0.924</td><td>8315</td><td>2.391e-6</td><td>53.402</td><td>41.48</td><td>1926.9</td><td>118.0</td></tr><tr><td>Recursive</td><td>886.6e-3</td><td>19.66e-3</td><td>906.3e-3</td><td>0.906</td><td>8241</td><td>2.385e-6</td><td>53.397</td><td>41.01</td><td>1889.7</td><td>116.9</td></tr><tr><td>Recursive2</td><td>878.4e-3</td><td>20.61e-3</td><td>899.0e-3</td><td>0.899</td><td>8301</td><td>2.482e-6</td><td>53.397</td><td>43.00</td><td>1874.5</td><td>117.8</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>560.7e-3</td><td>560.7e-3</td><td>0.561</td><td>67485</td><td>8.308e-6</td><td>64.042</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.352</td><td>204.7e-3</td><td>3.557</td><td>3.557</td><td>38603</td><td>5.302e-6</td><td>64.037</td><td>36.50</td><td>634.3</td><td>57.20</td></tr><tr><td>MinVariance</td><td>4.657</td><td>238.8e-3</td><td>4.895</td><td>4.895</td><td>43573</td><td>5.481e-6</td><td>64.041</td><td>42.59</td><td>873.1</td><td>64.57</td></tr><tr><td>BSplines</td><td>3.576</td><td>698.1e-3</td><td>4.274</td><td>4.274</td><td>115729</td><td>6.032e-6</td><td>64.137</td><td>124.5</td><td>762.3</td><td>171.5</td></tr><tr><td>MinNorm</td><td>4.557</td><td>219.6e-3</td><td>4.777</td><td>4.777</td><td>40381</td><td>5.438e-6</td><td>64.039</td><td>39.17</td><td>851.9</td><td>59.84</td></tr><tr><td>MinVolume</td><td>3.921</td><td>267.6e-3</td><td>4.189</td><td>4.189</td><td>47905</td><td>5.575e-6</td><td>64.045</td><td>47.72</td><td>747.1</td><td>71.12</td></tr><tr><td>ApproxMinVolume</td><td>3.915</td><td>269.7e-3</td><td>4.185</td><td>4.185</td><td>48187</td><td>5.596e-6</td><td>64.045</td><td>48.09</td><td>746.4</td><td>71.40</td></tr><tr><td>Recursive</td><td>3.841</td><td>213.2e-3</td><td>4.054</td><td>4.054</td><td>39377</td><td>5.415e-6</td><td>64.037</td><td>38.03</td><td>723.0</td><td>58.35</td></tr><tr><td>Recursive2</td><td>4.364</td><td>223.4e-3</td><td>4.587</td><td>4.587</td><td>39619</td><td>5.639e-6</td><td>64.037</td><td>39.84</td><td>818.2</td><td>58.71</td></tr><tr><td rowspan="10">3</td><td>Interval</td><td>36.95e-6</td><td>701.7</td><td>701.7</td><td>11:41</td><td>75750739</td><td>9.263e-6</td><td>55.997</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>12.20</td><td>354.7</td><td>366.9</td><td>06:06</td><td>12645367</td><td>28.05e-6</td><td>55.850</td><td>50.55</td><td>52.29</td><td>16.69</td></tr><tr><td>MinVariance</td><td>17.46</td><td>491.8</td><td>509.2</td><td>08:29</td><td>15574363</td><td>31.58e-6</td><td>55.862</td><td>70.08</td><td>72.57</td><td>20.56</td></tr><tr><td>BSplines</td><td>12.71</td><td>2223</td><td>2236</td><td>37:16</td><td>85001263</td><td>26.16e-6</td><td>56.000</td><td>316.9</td><td>318.7</td><td>112.2</td></tr><tr><td>MinNorm</td><td>16.72</td><td>444.8</td><td>461.5</td><td>07:41</td><td>14169025</td><td>31.39e-6</td><td>55.857</td><td>63.38</td><td>65.76</td><td>18.70</td></tr><tr><td>MinVolume</td><td>14.23</td><td>554.7</td><td>568.9</td><td>09:28</td><td>18757317</td><td>29.57e-6</td><td>55.873</td><td>79.05</td><td>81.07</td><td>24.76</td></tr><tr><td>ApproxMinVolume</td><td>14.01</td><td>545.7</td><td>559.7</td><td>09:19</td><td>18874981</td><td>28.91e-6</td><td>55.874</td><td>77.76</td><td>79.76</td><td>24.91</td></tr><tr><td>Recursive</td><td>16.80</td><td>391.0</td><td>407.8</td><td>06:47</td><td>13166761</td><td>29.70e-6</td><td>55.850</td><td>55.72</td><td>58.11</td><td>17.38</td></tr><tr><td>Recursive2</td><td>16.79</td><td>391.1</td><td>407.9</td><td>06:47</td><td>13094659</td><td>29.87e-6</td><td>55.850</td><td>55.73</td><td>58.12</td><td>17.28</td></tr><tr><td>Interval</td><td>29.00e-6</td><td>293889</td><td>293889</td><td>3:09:38:09</td><td>26877480220</td><td>10.93e-6</td><td>63.149</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.81</td><td>109363</td><td>109363</td><td>1:06:22:43</td><td>2227883990</td><td>49.09e-6</td><td>62.923</td><td>37.21</td><td>37.21</td><td>8.289</td></tr><tr><td>MinVariance</td><td>78.21</td><td>149998</td><td>149998</td><td>1:17:39:58</td><td>3010892224</td><td>49.82e-6</td><td>62.941</td><td>51.04</td><td>51.04</td><td>11.20</td></tr><tr><td>BSplines</td><td>73.93</td><td>1659490</td><td>1659490</td><td>19:04:58:10</td><td>33851701949</td><td>49.02e-6</td><td>63.145</td><td>564.7</td><td>564.7</td><td>125.9</td></tr><tr><td>MinNorm</td><td>77.56</td><td>126739</td><td>126739</td><td>1:11:12:19</td><td>2621337476</td><td>48.35e-6</td><td>62.933</td><td>43.12</td><td>43.12</td><td>9.753</td></tr><tr><td>MinVolume</td><td>76.21</td><td>195465</td><td>195465</td><td>2:06:17:45</td><td>3972859461</td><td>49.20e-6</td><td>62.957</td><td>66.51</td><td>66.51</td><td>14.78</td></tr><tr><td>ApproxMinVolume</td><td>75.76</td><td>196434</td><td>196434</td><td>2:06:33:54</td><td>3995063499</td><td>49.17e-6</td><td>62.958</td><td>66.84</td><td>66.84</td><td>14.86</td></tr><tr><td>Recursive</td><td>73.74</td><td>125467</td><td>125467</td><td>1:10:51:07</td><td>2390825936</td><td>52.32e-6</td><td>62.923</td><td>42.69</td><td>42.69</td><td>8.923</td></tr><tr><td>Recursive2</td><td>71.81</td><td>118203</td><td>118203</td><td>1:08:50:03</td><td>2386029012</td><td>49.54e-6</td><td>62.923</td><td>40.22</td><td>40.22</td><td>8.877</td></tr><tr><td rowspan="20">5</td><td rowspan="10">4</td><td>Interval</td><td>22.89e-6</td><td>9.191e-3</td><td>9.214e-3</td><td>0.009</td><td>967</td><td>9.505e-6</td><td>54.227</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>778.9e-3</td><td>5.877e-3</td><td>784.8e-3</td><td>0.785</td><td>905</td><td>6.494e-6</td><td>54.227</td><td>63.94</td><td>8517.9</td><td>93.59</td></tr><tr><td>MinVariance</td><td>917.8e-3</td><td>5.647e-3</td><td>923.5e-3</td><td>0.923</td><td>925</td><td>6.105e-6</td><td>54.246</td><td>61.44</td><td>10022.7</td><td>95.66</td></tr><tr><td>BSplines</td><td>867.9e-3</td><td>7.693e-3</td><td>875.6e-3</td><td>0.876</td><td>1437</td><td>5.353e-6</td><td>54.941</td><td>83.70</td><td>9503.6</td><td>148.6</td></tr><tr><td>MinNorm</td><td>930.0e-3</td><td>5.903e-3</td><td>935.9e-3</td><td>0.936</td><td>909</td><td>6.494e-6</td><td>54.237</td><td>64.23</td><td>10157.8</td><td>94.00</td></tr><tr><td>MinVolume</td><td>897.5e-3</td><td>6.283e-3</td><td>903.8e-3</td><td>0.904</td><td>955</td><td>6.579e-6</td><td>54.264</td><td>68.36</td><td>9809.6</td><td>98.76</td></tr><tr><td>ApproxMinVolume</td><td>893.9e-3</td><td>5.725e-3</td><td>899.7e-3</td><td>0.900</td><td>955</td><td>5.995e-6</td><td>54.264</td><td>62.29</td><td>9764.1</td><td>98.76</td></tr><tr><td>Recursive</td><td>865.5e-3</td><td>5.876e-3</td><td>871.4e-3</td><td>0.871</td><td>951</td><td>6.179e-6</td><td>54.227</td><td>63.93</td><td>9456.9</td><td>98.35</td></tr><tr><td>Recursive2</td><td>872.9e-3</td><td>6.593e-3</td><td>879.5e-3</td><td>0.879</td><td>1011</td><td>6.521e-6</td><td>54.227</td><td>71.73</td><td>9544.9</td><td>104.6</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>108.3e-3</td><td>108.3e-3</td><td>0.108</td><td>11525</td><td>9.399e-6</td><td>65.393</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.362</td><td>59.40e-3</td><td>3.421</td><td>3.421</td><td>6065</td><td>9.793e-6</td><td>65.347</td><td>54.83</td><td>3157.6</td><td>52.62</td></tr><tr><td>MinVariance</td><td>4.574</td><td>70.35e-3</td><td>4.645</td><td>4.645</td><td>7003</td><td>10.05e-6</td><td>65.380</td><td>64.95</td><td>4286.7</td><td>60.76</td></tr><tr><td>BSplines</td><td>3.589</td><td>279.7e-3</td><td>3.869</td><td>3.869</td><td>26027</td><td>10.75e-6</td><td>66.153</td><td>258.2</td><td>3570.5</td><td>225.8</td></tr><tr><td>MinNorm</td><td>4.482</td><td>62.27e-3</td><td>4.544</td><td>4.544</td><td>6467</td><td>9.629e-6</td><td>65.365</td><td>57.49</td><td>4193.7</td><td>56.11</td></tr><tr><td>MinVolume</td><td>3.955</td><td>79.83e-3</td><td>4.034</td><td>4.034</td><td>7933</td><td>10.06e-6</td><td>65.411</td><td>73.70</td><td>3723.5</td><td>68.83</td></tr><tr><td>ApproxMinVolume</td><td>3.835</td><td>73.70e-3</td><td>3.909</td><td>3.909</td><td>7945</td><td>9.276e-6</td><td>65.412</td><td>68.04</td><td>3607.5</td><td>68.94</td></tr><tr><td>Recursive</td><td>3.834</td><td>67.17e-3</td><td>3.902</td><td>3.902</td><td>7033</td><td>9.550e-6</td><td>65.347</td><td>62.01</td><td>3601.0</td><td>61.02</td></tr><tr><td>Recursive2</td><td>4.291</td><td>74.19e-3</td><td>4.365</td><td>4.365</td><td>7251</td><td>10.23e-6</td><td>65.347</td><td>68.49</td><td>4028.7</td><td>62.92</td></tr><tr><td rowspan="10">0.01</td><td rowspan="10">2</td><td>Interval</td><td>30.04e-6</td><td>38.67</td><td>38.67</td><td>38.669</td><td>4074977</td><td>9.489e-6</td><td>58.169</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.45</td><td>24.55</td><td>36.00</td><td>35.996</td><td>875939</td><td>28.03e-6</td><td>56.938</td><td>63.49</td><td>93.09</td><td>21.50</td></tr><tr><td>MinVariance</td><td>15.30</td><td>32.69</td><td>47.99</td><td>47.986</td><td>1076113</td><td>30.38e-6</td><td>57.038</td><td>84.54</td><td>124.1</td><td>26.41</td></tr><tr><td>BSplines</td><td>12.10</td><td>163.0</td><td>175.1</td><td>02:55</td><td>5368217</td><td>30.36e-6</td><td>58.127</td><td>421.5</td><td>452.7</td><td>131.7</td></tr><tr><td>MinNorm</td><td>14.88</td><td>30.49</td><td>45.37</td><td>45.371</td><td>984833</td><td>30.96e-6</td><td>56.978</td><td>78.85</td><td>117.3</td><td>24.17</td></tr><tr><td>MinVolume</td><td>13.28</td><td>38.89</td><td>52.18</td><td>52.177</td><td>1281397</td><td>30.35e-6</td><td>57.123</td><td>100.6</td><td>134.9</td><td>31.45</td></tr><tr><td>ApproxMinVolume</td><td>13.02</td><td>38.14</td><td>51.16</td><td>51.164</td><td>1286201</td><td>29.65e-6</td><td>57.124</td><td>98.63</td><td>132.3</td><td>31.56</td></tr><tr><td>Recursive</td><td>16.16</td><td>34.19</td><td>50.35</td><td>50.355</td><td>1095779</td><td>31.20e-6</td><td>56.938</td><td>88.43</td><td>130.2</td><td>26.89</td></tr><tr><td>Recursive2</td><td>15.80</td><td>32.95</td><td>48.75</td><td>48.753</td><td>1062395</td><td>31.02e-6</td><td>56.938</td><td>85.22</td><td>126.1</td><td>26.07</td></tr><tr><td>Interval</td><td>35.05e-6</td><td>25906</td><td>25906</td><td>07:11:46</td><td>2497331135</td><td>10.37e-6</td><td>66.175</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>95.21</td><td>12928</td><td>13023</td><td>03:37:03</td><td>250988873</td><td>51.51e-6</td><td>64.526</td><td>49.90</td><td>50.27</td><td>10.05</td></tr><tr><td>MinVariance</td><td>99.28</td><td>17795</td><td>17895</td><td>04:58:15</td><td>342719351</td><td>51.93e-6</td><td>64.680</td><td>68.69</td><td>69.08</td><td>13.72</td></tr><tr><td>BSplines</td><td>95.12</td><td>185332</td><td>185332</td><td>2:03:28:52</td><td>3621925291</td><td>51.17e-6</td><td>66.278</td><td>715.4</td><td>715.4</td><td>145.0</td></tr><tr><td>MinNorm</td><td>103.3</td><td>15732</td><td>15835</td><td>04:23:55</td><td>301507075</td><td>52.18e-6</td><td>64.623</td><td>60.73</td><td>61.13</td><td>12.07</td></tr><tr><td>MinVolume</td><td>102.1</td><td>24203</td><td>24305</td><td>06:45:05</td><td>467664703</td><td>51.75e-6</td><td>64.786</td><td>93.43</td><td>93.82</td><td>18.73</td></tr><tr><td>ApproxMinVolume</td><td>101.8</td><td>24757</td><td>24859</td><td>06:54:19</td><td>470631613</td><td>52.61e-6</td><td>64.791</td><td>95.57</td><td>95.96</td><td>18.85</td></tr><tr><td>Recursive</td><td>98.65</td><td>20332</td><td>20431</td><td>05:40:31</td><td>393001825</td><td>51.74e-6</td><td>64.526</td><td>78.48</td><td>78.87</td><td>15.74</td></tr><tr><td>Recursive2</td><td>99.80</td><td>17841</td><td>17941</td><td>04:59:01</td><td>346977299</td><td>51.42e-6</td><td>64.526</td><td>68.87</td><td>69.26</td><td>13.89</td></tr></tbody></table>
<table><caption>Table 47: Bissection of problem 2D with problem: 19, 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>28.85e-6</td><td>3.111e-3</td><td>3.140e-3</td><td>0.003</td><td>107</td><td>29.08e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>851.9e-3</td><td>3.150e-3</td><td>855.0e-3</td><td>0.855</td><td>69</td><td>45.66e-6</td><td>infeasible</td><td>101.3</td><td>27230.4</td><td>64.49</td></tr><tr><td>MinVariance</td><td>915.9e-3</td><td>3.317e-3</td><td>919.2e-3</td><td>0.919</td><td>63</td><td>52.65e-6</td><td>infeasible</td><td>106.6</td><td>29275.2</td><td>58.88</td></tr><tr><td>BSplines</td><td>872.1e-3</td><td>3.628e-3</td><td>875.7e-3</td><td>0.876</td><td>113</td><td>32.11e-6</td><td>infeasible</td><td>116.6</td><td>27889.3</td><td>105.6</td></tr><tr><td>MinNorm</td><td>897.1e-3</td><td>3.134e-3</td><td>900.2e-3</td><td>0.900</td><td>61</td><td>51.38e-6</td><td>infeasible</td><td>100.7</td><td>28669.2</td><td>57.01</td></tr><tr><td>MinVolume</td><td>878.0e-3</td><td>3.081e-3</td><td>881.1e-3</td><td>0.881</td><td>69</td><td>44.65e-6</td><td>infeasible</td><td>99.03</td><td>28060.5</td><td>64.49</td></tr><tr><td>ApproxMinVolume</td><td>879.4e-3</td><td>3.101e-3</td><td>882.5e-3</td><td>0.883</td><td>69</td><td>44.94e-6</td><td>infeasible</td><td>99.67</td><td>28106.2</td><td>64.49</td></tr><tr><td>Recursive</td><td>876.5e-3</td><td>3.492e-3</td><td>880.0e-3</td><td>0.880</td><td>93</td><td>37.55e-6</td><td>infeasible</td><td>112.2</td><td>28024.6</td><td>86.92</td></tr><tr><td>Recursive2</td><td>871.7e-3</td><td>3.210e-3</td><td>874.9e-3</td><td>0.875</td><td>123</td><td>26.10e-6</td><td>infeasible</td><td>103.2</td><td>27864.4</td><td>115.0</td></tr><tr><td>Interval</td><td>30.99e-6</td><td>559.4e-3</td><td>559.4e-3</td><td>0.559</td><td>67829</td><td>8.247e-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>347.7e-3</td><td>3.725</td><td>3.725</td><td>59033</td><td>5.889e-6</td><td>44.358</td><td>62.15</td><td>665.8</td><td>87.03</td></tr><tr><td>MinVariance</td><td>4.619</td><td>377.0e-3</td><td>4.996</td><td>4.996</td><td>62027</td><td>6.078e-6</td><td>44.363</td><td>67.40</td><td>893.0</td><td>91.45</td></tr><tr><td>BSplines</td><td>3.554</td><td>1.133</td><td>4.687</td><td>4.687</td><td>171549</td><td>6.605e-6</td><td>44.451</td><td>202.5</td><td>837.9</td><td>252.9</td></tr><tr><td>MinNorm</td><td>4.515</td><td>366.8e-3</td><td>4.882</td><td>4.882</td><td>60287</td><td>6.083e-6</td><td>44.361</td><td>65.56</td><td>872.8</td><td>88.88</td></tr><tr><td>MinVolume</td><td>3.927</td><td>407.0e-3</td><td>4.334</td><td>4.334</td><td>67867</td><td>5.996e-6</td><td>44.367</td><td>72.75</td><td>774.8</td><td>100.1</td></tr><tr><td>ApproxMinVolume</td><td>3.917</td><td>416.6e-3</td><td>4.334</td><td>4.334</td><td>67997</td><td>6.127e-6</td><td>44.367</td><td>74.47</td><td>774.7</td><td>100.2</td></tr><tr><td>Recursive</td><td>3.843</td><td>356.2e-3</td><td>4.199</td><td>4.199</td><td>59535</td><td>5.983e-6</td><td>44.358</td><td>63.68</td><td>750.6</td><td>87.77</td></tr><tr><td>Recursive2</td><td>4.294</td><td>364.3e-3</td><td>4.658</td><td>4.658</td><td>60313</td><td>6.040e-6</td><td>44.358</td><td>65.12</td><td>832.7</td><td>88.92</td></tr><tr><td rowspan="10">3</td><td rowspan="10">4</td><td>Interval</td><td>25.99e-6</td><td>106.3</td><td>106.3</td><td>01:46</td><td>11321541</td><td>9.390e-6</td><td>33.203</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>12.15</td><td>51.76</td><td>63.91</td><td>01:03</td><td>1976463</td><td>26.19e-6</td><td>33.151</td><td>48.69</td><td>60.12</td><td>17.46</td></tr><tr><td>MinVariance</td><td>16.69</td><td>73.04</td><td>89.73</td><td>01:29</td><td>2438639</td><td>29.95e-6</td><td>33.159</td><td>68.70</td><td>84.40</td><td>21.54</td></tr><tr><td>BSplines</td><td>12.50</td><td>416.4</td><td>428.9</td><td>07:08</td><td>14862617</td><td>28.02e-6</td><td>33.250</td><td>391.7</td><td>403.4</td><td>131.3</td></tr><tr><td>MinNorm</td><td>16.06</td><td>64.21</td><td>80.27</td><td>01:20</td><td>2223893</td><td>28.87e-6</td><td>33.157</td><td>60.39</td><td>75.50</td><td>19.64</td></tr><tr><td>MinVolume</td><td>13.87</td><td>83.68</td><td>97.55</td><td>01:37</td><td>2981505</td><td>28.07e-6</td><td>33.166</td><td>78.71</td><td>91.76</td><td>26.33</td></tr><tr><td>ApproxMinVolume</td><td>13.60</td><td>82.09</td><td>95.69</td><td>01:35</td><td>2994203</td><td>27.42e-6</td><td>33.166</td><td>77.21</td><td>90.01</td><td>26.45</td></tr><tr><td>Recursive</td><td>16.46</td><td>56.27</td><td>72.73</td><td>01:12</td><td>2085287</td><td>26.98e-6</td><td>33.151</td><td>52.93</td><td>68.41</td><td>18.42</td></tr><tr><td>Recursive2</td><td>13.97</td><td>56.77</td><td>70.74</td><td>01:10</td><td>2050371</td><td>27.69e-6</td><td>33.151</td><td>53.40</td><td>66.54</td><td>18.11</td></tr><tr><td>Interval</td><td>31.00e-6</td><td>1169670</td><td>1169670</td><td>13-12:54:30</td><td>109246741762</td><td>10.71e-6</td><td>31.568</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>73.21</td><td>1355690</td><td>1355690</td><td>15-16:34:50</td><td>26612339096</td><td>50.94e-6</td><td>31.442</td><td>115.9</td><td>115.9</td><td>24.36</td></tr><tr><td>MinVariance</td><td>77.95</td><td>1776650</td><td>1776650</td><td>20-13:30:50</td><td>34539615227</td><td>51.44e-6</td><td>31.458</td><td>151.9</td><td>151.9</td><td>31.62</td></tr><tr><td rowspan="10">5</td><td rowspan="10">6</td><td>BSplines</td><td>73.65</td><td>in progress</td><td>> 60 days</td><td>18-01:53:20</td><td>30651698964</td><td>50.96e-6</td><td>31.450</td><td>133.5</td><td>133.5</td><td>28.06</td></tr><tr><td>MinNorm</td><td>77.24</td><td>1562000</td><td>1562000</td><td>18-01:53:20</td><td>42898379793</td><td>50.68e-6</td><td>31.472</td><td>185.9</td><td>185.9</td><td>39.27</td></tr><tr><td>MinVolume</td><td>76.02</td><td>2174030</td><td>2174030</td><td>25-03:53:50</td><td>43133314536</td><td>51.00e-6</td><td>31.472</td><td>188.1</td><td>188.1</td><td>39.48</td></tr><tr><td>ApproxMinVolume</td><td>75.06</td><td>2199990</td><td>2199990</td><td>25-11:06:30</td><td>27594989698</td><td>50.83e-6</td><td>31.442</td><td>119.9</td><td>119.9</td><td>25.26</td></tr><tr><td>Recursive</td><td>74.22</td><td>1402990</td><td>1403000</td><td>16-05:43:20</td><td>27257663280</td><td>50.88e-6</td><td>31.442</td><td>118.6</td><td>118.6</td><td>24.95</td></tr><tr><td>Recursive2</td><td>73.27</td><td>1387000</td><td>1387000</td><td>16-01:16:40</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Interval</td><td>24.08e-6</td><td>2.947e-3</td><td>2.971e-3</td><td>0.003</td><td>107</td><td>27.54e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>854.4e-3</td><td>3.240e-3</td><td>857.6e-3</td><td>0.858</td><td>69</td><td>46.96e-6</td><td>infeasible</td><td>110.0</td><td>28868.1</td><td>64.49</td></tr><tr><td>MinVariance</td><td>913.6e-3</td><td>3.120e-3</td><td>916.7e-3</td><td>0.917</td><td>63</td><td>49.53e-6</td><td>infeasible</td><td>105.9</td><td>30855.3</td><td>58.88</td></tr><tr><td>BSplines</td><td>851.4e-3</td><td>3.482e-3</td><td>854.9e-3</td><td>0.855</td><td>113</td><td>30.81e-6</td><td>infeasible</td><td>118.2</td><td>28776.6</td><td>105.6</td></tr><tr><td>MinNorm</td><td>892.4e-3</td><td>3.096e-3</td><td>895.5e-3</td><td>0.896</td><td>61</td><td>50.76e-6</td><td>infeasible</td><td>105.1</td><td>30143.8</td><td>57.01</td></tr><tr><td>MinVolume</td><td>878.1e-3</td><td>3.513e-3</td><td>881.6e-3</td><td>0.882</td><td>69</td><td>50.91e-6</td><td>infeasible</td><td>119.2</td><td>29674.7</td><td>64.49</td></tr><tr><td>ApproxMinVolume</td><td>885.0e-3</td><td>3.499e-3</td><td>888.5e-3</td><td>0.888</td><td>69</td><td>50.71e-6</td><td>infeasible</td><td>118.7</td><td>29905.9</td><td>64.49</td></tr><tr><td>Recursive</td><td>873.6e-3</td><td>3.398e-3</td><td>877.0e-3</td><td>0.877</td><td>93</td><td>36.54e-6</td><td>infeasible</td><td>115.3</td><td>29518.4</td><td>86.92</td></tr><tr><td>Recursive2</td><td>859.9e-3</td><td>3.243e-3</td><td>863.2e-3</td><td>0.863</td><td>123</td><td>26.37e-6</td><td>infeasible</td><td>110.0</td><td>29053.8</td><td>115.0</td></tr><tr><td>Interval</td><td>34.09e-6</td><td>112.8e-3</td><td>112.9e-3</td><td>01:13</td><td>13441</td><td>8.394e-6</td><td>45.695</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>3.290</td><td>69.99e-3</td><td>3.360</td><td>3.360</td><td>7541</td><td>9.281e-6</td><td>45.365</td><td>62.04</td><td>2977.1</td><td>56.10</td></tr><tr><td>MinVariance</td><td>4.656</td><td>77.27e-3</td><td>4.733</td><td>4.733</td><td>8139</td><td>9.494e-6</td><td>45.400</td><td>68.49</td><td>4194.1</td><td>60.55</td></tr><tr><td>BSplines</td><td>3.374</td><td>279.3e-3</td><td>3.653</td><td>3.653</td><td>28201</td><td>9.904e-6</td><td>46.398</td><td>247.6</td><td>3237.0</td><td>209.8</td></tr><tr><td>MinNorm</td><td>4.334</td><td>73.13e-3</td><td>4.407</td><td>4.407</td><td>7831</td><td>9.339e-6</td><td>45.384</td><td>64.82</td><td>3904.7</td><td>58.26</td></tr><tr><td>MinVolume</td><td>3.849</td><td>84.50e-3</td><td>3.933</td><td>3.933</td><td>9197</td><td>9.187e-6</td><td>45.434</td><td>74.89</td><td>3485.2</td><td>68.42</td></tr><tr><td>ApproxMinVolume</td><td>3.919</td><td>92.34e-3</td><td>4.011</td><td>4.011</td><td>9207</td><td>10.03e-6</td><td>45.435</td><td>81.85</td><td>3554.2</td><td>68.50</td></tr><tr><td>Recursive</td><td>3.764</td><td>80.81e-3</td><td>3.845</td><td>3.845</td><td>8099</td><td>9.978e-6</td><td>45.365</td><td>71.63</td><td>3407.2</td><td>60.26</td></tr><tr><td>Recursive2</td><td>4.217</td><td>84.07e-3</td><td>4.301</td><td>4.301</td><td>8813</td><td>9.539e-6</td><td>45.365</td><td>74.52</td><td>3811.3</td><td>65.57</td></tr><tr><td>Interval</td><td>22.89e-6</td><td>11.13</td><td>11.13</td><td>11.133</td><td>1183541</td><td>9.407e-6</td><td>34.408</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>11.64</td><td>8.347</td><td>19.99</td><td>19.988</td><td>290217</td><td>28.76e-6</td><td>33.973</td><td>74.97</td><td>179.5</td><td>24.52</td></tr><tr><td>MinVariance</td><td>15.74</td><td>11.91</td><td>27.66</td><td>27.655</td><td>362485</td><td>32.86e-6</td><td>34.010</td><td>107.0</td><td>248.4</td><td>30.63</td></tr><tr><td>BSplines</td><td>12.05</td><td>54.73</td><td>66.78</td><td>01:06</td><td>1845259</td><td>29.66e-6</td><td>34.818</td><td>491.6</td><td>599.8</td><td>155.9</td></tr><tr><td rowspan="10">4</td><td rowspan="10">5</td><td>MinNorm</td><td>15.27</td><td>10.62</td><td>25.89</td><td>25.893</td><td>335011</td><td>31.71e-6</td><td>33.994</td><td>95.43</td><td>232.6</td><td>28.31</td></tr><tr><td>MinVolume</td><td>13.25</td><td>12.34</td><td>25.59</td><td>25.587</td><td>431479</td><td>28.59e-6</td><td>34.071</td><td>110.8</td><td>229.8</td><td>36.46</td></tr><tr><td>ApproxMinVolume</td><td>13.13</td><td>13.46</td><td>26.60</td><td>26.596</td><td>433717</td><td>31.04e-6</td><td>34.072</td><td>120.9</td><td>238.9</td><td>36.65</td></tr><tr><td>Recursive</td><td>15.73</td><td>11.34</td><td>27.07</td><td>27.066</td><td>368149</td><td>30.80e-6</td><td>33.973</td><td>101.9</td><td>243.1</td><td>31.11</td></tr><tr><td>Recursive2</td><td>15.69</td><td>11.20</td><td>26.89</td><td>26.892</td><td>362575</td><td>30.89e-6</td><td>33.973</td><td>100.6</td><td>241.5</td><td>30.63</td></tr><tr><td>Interval</td><td>26.94e-6</td><td>11199</td><td>11199</td><td>03:06:39</td><td>995655319</td><td>11.25e-6</td><td>33.874</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>98.18</td><td>15392</td><td>15490</td><td>04:18:10</td><td>294803321</td><td>52.21e-6</td><td>32.826</td><td>137.4</td><td>138.3</td><td>29.61</td></tr><tr><td>MinVariance</td><td>103.3</td><td>19323</td><td>19427</td><td>05:23:47</td><td>361755921</td><td>53.42e-6</td><td>32.947</td><td>172.5</td><td>173.5</td><td>36.33</td></tr><tr><td>BSplines</td><td>97.45</td><td>96097</td><td>96097</td><td>1-02:41:37</td><td>1843777424</td><td>52.12e-6</td><td>34.374</td><td>858.0</td><td>858.0</td><td>185.2</td></tr><tr><td>MinNorm</td><td>101.4</td><td>17883</td><td>17985</td><td>04:59:45</td><td>332115815</td><td>53.85e-6</td><td>32.900</td><td>159.7</td><td>160.6</td><td>33.36</td></tr><tr><td>MinVolume</td><td>99.49</td><td>22987</td><td>23086</td><td>06:24:46</td><td>434072849</td><td>52.96e-6</td><td>33.059</td><td>205.2</td><td>206.1</td><td>43.60</td></tr><tr><td>ApproxMinVolume</td><td>99.28</td><td>22737</td><td>22837</td><td>06:20:37</td><td>435725303</td><td>52.18e-6</td><td>33.061</td><td>203.0</td><td>203.9</td><td>43.76</td></tr><tr><td>Recursive</td><td>97.30</td><td>18791</td><td>18888</td><td>05:14:48</td><td>357482911</td><td>52.57e-6</td><td>32.826</td><td>167.8</td><td>168.7</td><td>35.90</td></tr><tr><td>Recursive2</td><td>97.49</td><td>17439</td><td>17536</td><td>04:52:16</td><td>334202881</td><td>52.18e-6</td><td>32.826</td><td>155.7</td><td>156.6</td><td>33.57</td></tr></tbody></table>
<table><caption>Table 48: Average of Bissection for 2D problems</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>comput.time (%)</th><th>total.time (%)</th><th>nb.iter (%)</th></tr></thead><tbody><tr><td rowspan="14">0.001</td><td rowspan="10">2</td><td>Interval</td><td>31.00e-6</td><td>15.88e-3</td><td>15.91e-3</td><td>0.016</td><td>2044</td><td>20.00e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>798.9e-3</td><td>6.706e-3</td><td>805.6e-3</td><td>0.806</td><td>1456</td><td>25.00e-6</td><td>65.22</td><td>12254.6</td><td>67.61</td></tr><tr><td>MinVariance</td><td>859.9e-3</td><td>6.746e-3</td><td>866.7e-3</td><td>0.867</td><td>1492</td><td>25.00e-6</td><td>64.99</td><td>13107.2</td><td>68.26</td></tr><tr><td>BSplines</td><td>813.7e-3</td><td>9.669e-3</td><td>823.3e-3</td><td>0.823</td><td>2399</td><td>19.00e-6</td><td>79.15</td><td>12437.2</td><td>111.8</td></tr><tr><td>MinNorm</td><td>854.9e-3</td><td>6.771e-3</td><td>861.7e-3</td><td>0.862</td><td>1471</td><td>26.00e-6</td><td>64.27</td><td>13003.7</td><td>67.05</td></tr><tr><td>MinVolume</td><td>841.9e-3</td><td>7.052e-3</td><td>849.0e-3</td><td>0.849</td><td>1553</td><td>24.00e-6</td><td>67.03</td><td>12855.1</td><td>72.45</td></tr><tr><td>ApproxMinVolume</td><td>830.0e-3</td><td>7.001e-3</td><td>837.0e-3</td><td>0.837</td><td>1555</td><td>24.00e-6</td><td>66.17</td><td>12690.6</td><td>72.52</td></tr><tr><td>Recursive</td><td>814.0e-3</td><td>6.820e-3</td><td>820.8e-3</td><td>0.821</td><td>1509</td><td>21.00e-6</td><td>65.77</td><td>12430.7</td><td>75.80</td></tr><tr><td>Recursive2</td><td>816.9e-3</td><td>7.051e-3</td><td>824.0e-3</td><td>0.824</td><td>1534</td><td>20.00e-6</td><td>67.21</td><td>12479.4</td><td>82.56</td></tr><tr><td>Interval</td><td>29.00e-6</td><td>2.137</td><td>2.137</td><td>2.137</td><td>291396</td><td>8.000e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.571</td><td>750.4e-3</td><td>3.322</td><td>3.322</td><td>80668</td><td>9.000e-6</td><td>42.63</td><td>387.5</td><td>39.15</td></tr><tr><td>MinVariance</td><td>3.504</td><td>921.9e-3</td><td>4.426</td><td>4.426</td><td>91282</td><td>9.000e-6</td><td>51.98</td><td>499.6</td><td>43.83</td></tr><tr><td>BSplines</td><td>2.689</td><td>2.724</td><td>5.413</td><td>5.413</td><td>275442</td><td>9.000e-6</td><td>149.5</td><td>510.5</td><td>126.2</td></tr><tr><td>MinNorm</td><td>3.379</td><td>861.2e-3</td><td>4.240</td><td>4.240</td><td>86279</td><td>9.000e-6</td><td>48.12</td><td>482.7</td><td>41.45</td></tr><tr><td>MinVolume</td><td>2.970</td><td>987.8e-3</td><td>3.958</td><td>3.958</td><td>102430</td><td>9.000e-6</td><td>55.53</td><td>445.8</td><td>49.04</td></tr><tr><td>ApproxMinVolume</td><td>2.956</td><td>994.2e-3</td><td>3.950</td><td>3.950</td><td>102740</td><td>9.000e-6</td><td>55.87</td><td>445.8</td><td>49.16</td></tr><tr><td>Recursive</td><td>2.900</td><td>801.6e-3</td><td>3.702</td><td>3.702</td><td>84015</td><td>9.000e-6</td><td>45.27</td><td>428.7</td><td>40.46</td></tr><tr><td>Recursive2</td><td>3.144</td><td>811.4e-3</td><td>3.956</td><td>3.956</td><td>83342</td><td>9.000e-6</td><td>46.00</td><td>463.4</td><td>40.20</td></tr><tr><td>Interval</td><td>29.00e-6</td><td>1036</td><td>1036</td><td>17:16</td><td>118990242</td><td>9.000e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>7.841</td><td>303.4</td><td>311.2</td><td>05:11</td><td>15509297</td><td>21.00e-6</td><td>34.22</td><td>36.98</td><td>15.11</td></tr><tr><td>MinVariance</td><td>10.39</td><td>385.3</td><td>395.7</td><td>06:35</td><td>18418458</td><td>23.00e-6</td><td>43.90</td><td>47.55</td><td>17.88</td></tr><tr><td>BSplines</td><td>8.086</td><td>1609</td><td>1617</td><td>26:57</td><td>80660031</td><td>21.00e-6</td><td>188.1</td><td>191.0</td><td>79.21</td></tr><tr><td>MinNorm</td><td>10.15</td><td>352.6</td><td>362.8</td><td>06:02</td><td>17058387</td><td>23.00e-6</td><td>40.10</td><td>43.67</td><td>16.58</td></tr><tr><td>MinVolume</td><td>8.907</td><td>438.5</td><td>447.4</td><td>07:27</td><td>21516318</td><td>22.00e-6</td><td>49.61</td><td>52.72</td><td>20.81</td></tr><tr><td>ApproxMinVolume</td><td>8.863</td><td>439.4</td><td>448.3</td><td>07:28</td><td>21595419</td><td>22.00e-6</td><td>49.63</td><td>52.71</td><td>20.89</td></tr><tr><td>Recursive</td><td>9.988</td><td>323.6</td><td>333.5</td><td>05:33</td><td>15973579</td><td>22.00e-6</td><td>36.66</td><td>40.26</td><td>15.56</td></tr><tr><td>Recursive2</td><td>10.01</td><td>339.2</td><td>349.2</td><td>05:49</td><td>16750712</td><td>22.00e-6</td><td>38.19</td><td>41.78</td><td>16.17</td></tr><tr><td>Interval</td><td>28.00e-6</td><td>1085503</td><td>1085503</td><td>12-13:31:43</td><td>97765664157</td><td>11.00e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>64.88</td><td>441722</td><td>441734</td><td>5-02:42:14</td><td>1049805959</td><td>42.00e-6</td><td>64.95</td><td>64.97</td><td>16.14</td></tr><tr><td>MinVariance</td><td>69.19</td><td>555135</td><td>555145</td><td>6-10:12:25</td><td>12863110512</td><td>43.00e-6</td><td>81.36</td><td>81.38</td><td>19.72</td></tr><tr><td>BSplines</td><td>63.24</td><td>2112760</td><td>2112768</td><td>24-10:52:48</td><td>50975345972</td><td>39.00e-6</td><td>445.4</td><td>445.4</td><td>109.3</td></tr><tr><td>MinNorm</td><td>69.24</td><td>501404</td><td>501417</td><td>5-19:16:57</td><td>11726379813</td><td>43.00e-6</td><td>73.85</td><td>73.87</td><td>18.01</td></tr><tr><td>MinVolume</td><td>67.31</td><td>661765</td><td>661776</td><td>7-15:49:36</td><td>15459329658</td><td>42.00e-6</td><td>96.40</td><td>96.42</td><td>23.64</td></tr><tr><td>ApproxMinVolume</td><td>67.59</td><td>667536</td><td>667547</td><td>7-17:25:47</td><td>15541638589</td><td>42.00e-6</td><td>97.28</td><td>97.30</td><td>23.76</td></tr><tr><td>Recursive</td><td>65.69</td><td>460923</td><td>460936</td><td>5-08:02:16</td><td>10847674989</td><td>42.00e-6</td><td>67.02</td><td>67.04</td><td>16.51</td></tr><tr><td>Recursive2</td><td>65.48</td><td>466391</td><td>466403</td><td>5-09:33:23</td><td>11028926772</td><td>42.00e-6</td><td>69.76</td><td>69.79</td><td>17.25</td></tr><tr><td>Interval</td><td>30.00e-6</td><td>18.67e-3</td><td>18.70e-3</td><td>0.019</td><td>533</td><td>93.00e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>1.127</td><td>5.497e-3</td><td>1.133</td><td>1.133</td><td>337</td><td>39.00e-6</td><td>81.11</td><td>16178.4</td><td>66.84</td></tr><tr><td>MinVariance</td><td>1.117</td><td>6.323e-3</td><td>1.123</td><td>1.123</td><td>349</td><td>40.00e-6</td><td>87.87</td><td>16325.4</td><td>67.43</td></tr><tr><td>BSplines</td><td>1.085</td><td>7.050e-3</td><td>1.092</td><td>1.092</td><td>640</td><td>29.00e-6</td><td>98.95</td><td>15836.6</td><td>115.6</td></tr><tr><td>MinNorm</td><td>1.151</td><td>5.957e-3</td><td>1.157</td><td>1.157</td><td>341</td><td>46.00e-6</td><td>89.40</td><td>17260.4</td><td>65.80</td></tr><tr><td>MinVolume</td><td>1.149</td><td>6.395e-3</td><td>1.155</td><td>1.155</td><td>373</td><td>39.00e-6</td><td>86.95</td><td>17252.4</td><td>72.15</td></tr><tr><td>ApproxMinVolume</td><td>1.181</td><td>6.322e-3</td><td>1.188</td><td>1.188</td><td>374</td><td>38.00e-6</td><td>89.31</td><td>18001.4</td><td>72.25</td></tr><tr><td>Recursive</td><td>1.166</td><td>6.361e-3</td><td>1.172</td><td>1.172</td><td>387</td><td>34.00e-6</td><td>93.90</td><td>17908.2</td><td>79.35</td></tr><tr><td>Recursive2</td><td>1.184</td><td>6.123e-3</td><td>1.190</td><td>1.190</td><td>411</td><td>32.00e-6</td><td>91.33</td><td>18228.4</td><td>86.47</td></tr><tr><td>Interval</td><td>29.00e-6</td><td>367.9e-3</td><td>368.0e-3</td><td>0.368</td><td>49165</td><td>8.000e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>2.553</td><td>152.8e-3</td><td>2.706</td><td>2.706</td><td>15480</td><td>10.00e-6</td><td>47.31</td><td>1468.6</td><td>38.71</td></tr><tr><td>MinVariance</td><td>3.490</td><td>182.9e-3</td><td>3.673</td><td>3.673</td><td>17422</td><td>10.00e-6</td><td>55.98</td><td>1936.4</td><td>43.47</td></tr><tr><td>BSplines</td><td>2.689</td><td>542.0e-3</td><td>3.231</td><td>3.231</td><td>51919</td><td>9.000e-6</td><td>166.3</td><td>1656.3</td><td>129.4</td></tr><tr><td>MinNorm</td><td>3.389</td><td>170.4e-3</td><td>3.559</td><td>3.559</td><td>16450</td><td>10.00e-6</td><td>52.35</td><td>1888.0</td><td>41.06</td></tr><tr><td>MinVolume</td><td>2.977</td><td>200.0e-3</td><td>3.177</td><td>3.177</td><td>19466</td><td>10.00e-6</td><td>61.59</td><td>1692.6</td><td>48.67</td></tr><tr><td>ApproxMinVolume</td><td>2.958</td><td>199.8e-3</td><td>3.158</td><td>3.158</td><td>19527</td><td>10.00e-6</td><td>61.66</td><td>1681.7</td><td>48.83</td></tr><tr><td>Recursive</td><td>2.907</td><td>186.4e-3</td><td>3.093</td><td>3.093</td><td>18115</td><td>10.00e-6</td><td>56.72</td><td>1660.0</td><td>44.56</td></tr><tr><td>Recursive2</td><td>3.129</td><td>187.0e-3</td><td>3.316</td><td>3.316</td><td>17985</td><td>10.00e-6</td><td>56.76</td><td>1794.3</td><td>44.29</td></tr><tr><td>Interval</td><td>30.00e-6</td><td>85.06</td><td>85.06</td><td>01:25</td><td>9264411</td><td>9.000e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>7.742</td><td>25.74</td><td>33.48</td><td>33.485</td><td>1211176</td><td>22.00e-6</td><td>38.40</td><td>56.41</td><td>16.70</td></tr><tr><td>MinVariance</td><td>10.15</td><td>32.53</td><td>42.68</td><td>42.680</td><td>1412576</td><td>24.00e-6</td><td>48.99</td><td>72.70</td><td>19.49</td></tr><tr><td>BSplines</td><td>7.986</td><td>138.8</td><td>146.8</td><td>02:26</td><td>6197189</td><td>22.00e-6</td><td>205.7</td><td>224.3</td><td>83.96</td></tr><tr><td>MinNorm</td><td>9.913</td><td>29.68</td><td>39.59</td><td>39.593</td><td>1310372</td><td>23.00e-6</td><td>44.66</td><td>67.81</td><td>18.11</td></tr><tr><td>MinVolume</td><td>8.757</td><td>36.84</td><td>45.59</td><td>45.594</td><td>1652798</td><td>22.00e-6</td><td>54.88</td><td>75.23</td><td>22.70</td></tr><tr><td>ApproxMinVolume</td><td>8.756</td><td>36.87</td><td>45.63</td><td>45.631</td><td>1659003</td><td>23.00e-6</td><td>55.36</td><td>75.65</td><td>22.79</td></tr><tr><td>Recursive</td><td>9.835</td><td>34.69</td><td>44.53</td><td>44.529</td><td>1544402</td><td>23.00e-6</td><td>49.96</td><td>73.02</td><td>20.80</td></tr><tr><td>Recursive2</td><td>9.924</td><td>39.96</td><td>49.88</td><td>49.884</td><td>1797626</td><td>23.00e-6</td><td>58.13</td><td>81.44</td><td>24.29</td></tr><tr><td>Interval</td><td>30.00e-6</td><td>32645</td><td>32645</td><td>09:04:05</td><td>2939694658</td><td>10.00e-6</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>78.12</td><td>14397</td><td>14475</td><td>04:01:15</td><td>310835714</td><td>44.00e-6</td><td>79.14</td><td>80.32</td><td>18.93</td></tr><tr><td>MinVariance</td><td>81.80</td><td>17777</td><td>17859</td><td>04:57:39</td><td>376104619</td><td>45.00e-6</td><td>97.11</td><td>98.36</td><td>22.69</td></tr><tr><td>BSplines</td><td>79.02</td><td>115252</td><td>115298</td><td>1-08:01:38</td><td>2369248363</td><td>43.00e-6</td><td>551.4</td><td>552.5</td><td>128.0</td></tr><tr><td>MinNorm</td><td>82.16</td><td>16109</td><td>16191</td><td>04:29:51</td><td>343377734</td><td>45.00e-6</td><td>88.30</td><td>89.54</td><td>20.81</td></tr><tr><td>MinVolume</td><td>80.34</td><td>21399</td><td>21479</td><td>05:57:59</td><td>455149620</td><td>44.00e-6</td><td>115.0</td><td>116.3</td><td>27.12</td></tr><tr><td>ApproxMinVolume</td><td>80.43</td><td>21584</td><td>21665</td><td>06:01:05</td><td>457327925</td><td>44.00e-6</td><td>115.5</td><td>116.7</td><td>27.25</td></tr><tr><td>Recursive</td><td>78.34</td><td>20539</td><td>20618</td><td>05:43:38</td><td>428065054</td><td>44.00e-6</td><td>99.42</td><td>100.6</td><td>23.37</td></tr><tr><td>Recursive2</td><td>78.50</td><td>20441</td><td>20520</td><td>05:42:00</td><td>433903019</td><td>44.00e-6</td><td>125.1</td><td>126.3</td><td>29.37</td></tr></tbody></table>
<table><caption>Table 50: Diameter of the end effector position, joint torque and sum of square joint torque for several inputs considering several basis functions.</caption><thead><tr><th>diameter</th><th>basis function</th><th>X</th><th>Y</th><th>Z</th><th>COM<sub>X</sub></th><th>COM<sub>Y</sub></th><th>Γ<sub>1</sub></th><th>Γ<sub>2</sub></th><th>Γ<sub>3</sub></th><th>Γ<sub>4</sub></th><th>Γ<sub>5</sub></th><th>Γ<sub>6</sub></th><th>Σ Γ<sub>1</sub><sup>2</sup></th></tr></thead><tbody><tr><td rowspan="8">1.00e+00</td><td>Interval</td><td>9.889</td><td>10.144</td><td>10.198</td><td>949.9e-3</td><td>971.6e-3</td><td>8.709e-3</td><td>6.856e-3</td><td>972.3</td><td>937.9</td><td>16.05</td><td>4.692</td><td>67.09e-6</td></tr><tr><td>Bernstein</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.524e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>80.34e-6</td></tr><tr><td>MinVariance</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.579e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>65.20e-6</td></tr><tr><td>B SPLines</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>11.37e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>180.2e-6</td></tr><tr><td>MinNo</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.554e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>67.52e-6</td></tr><tr><td>MinVo</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.631e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>63.45e-6</td></tr><tr><td>ApproxMinVo</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.632e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>63.44e-6</td></tr><tr><td>Recursive</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.524e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>143.1e-6</td></tr><tr><td>Recursive2</td><td>13.06</td><td>12.89</td><td>7.071</td><td>1.159</td><td>1.148</td><td>10.524e-3</td><td>6.755e-3</td><td>1.214e-3</td><td>892.9</td><td>14.05</td><td>4.086</td><td>143.2e-6</td></tr><tr><td rowspan="8">5.000e-01</td><td>Interval</td><td>3.389</td><td>3.292</td><td>3.805</td><td>386.6e-3</td><td>359.0e-3</td><td>1.268e-3</td><td>1.231e-3</td><td>179.7</td><td>211.1</td><td>4.256</td><td>1.401</td><td>1.902e-6</td></tr><tr><td>Bernstein</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>551.1</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>328.6e-3</td></tr><tr><td>MinVariance</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>557.8</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>305.2e-3</td></tr><tr><td>B SPLines</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>635.9</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>767.4e-3</td></tr><tr><td>MinNo</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>554.8</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>304.9e-3</td></tr><tr><td>MinVo</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>564.2</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>313.4e-3</td></tr><tr><td>ApproxMinVo</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>564.4</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>313.7e-3</td></tr><tr><td>Recursive</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>551.1</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>488.9e-3</td></tr><tr><td>Recursive2</td><td>2.621</td><td>2.283</td><td>1.812</td><td>330.4e-3</td><td>273.9e-3</td><td>551.1</td><td>511.6</td><td>95.00</td><td>105.7</td><td>2.373</td><td>723.3e-3</td><td>471.0e-3</td></tr><tr><td rowspan="8">1.000e-01</td><td>Interval</td><td>572.4e-3</td><td>572.6e-3</td><td>690.7e-3</td><td>79.03e-3</td><td>72.87e-3</td><td>63.88</td><td>98.54</td><td>13.42</td><td>24.54</td><td>634.7e-3</td><td>215.8e-3</td><td>11.21e-3</td></tr><tr><td>Bernstein</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>33.64</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>3.840e-3</td></tr><tr><td>MinVariance</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>33.94</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>3.964e-3</td></tr><tr><td>B SPLines</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>37.37</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>7.984e-3</td></tr><tr><td>MinNo</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>33.81</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>3.868e-3</td></tr><tr><td>MinVo</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>34.22</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>4.188e-3</td></tr><tr><td>ApproxMinVo</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>34.23</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>4.193e-3</td></tr><tr><td>Recursive</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>33.64</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>6.718e-3</td></tr><tr><td>Recursive2</td><td>356.0e-3</td><td>332.3e-3</td><td>298.5e-3</td><td>52.76e-3</td><td>48.43e-3</td><td>33.64</td><td>49.30</td><td>7.305</td><td>12.69</td><td>343.3e-3</td><td>102.8e-3</td><td>4.373e-3</td></tr><tr><td rowspan="8">5.000e-02</td><td>Interval</td><td>282.8e-3</td><td>285.1e-3</td><td>345.8e-3</td><td>39.69e-3</td><td>36.44e-3</td><td>27.29</td><td>46.11</td><td>6.060</td><td>11.90</td><td>314.9e-3</td><td>107.6e-3</td><td>3.480e-3</td></tr><tr><td>Bernstein</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.26</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>1.646e-3</td></tr><tr><td>MinVariance</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.34</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>1.739e-3</td></tr><tr><td>B SPLines</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>16.21</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>3.329e-3</td></tr><tr><td>MinNo</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.30</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>1.688e-3</td></tr><tr><td>MinVo</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.41</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>1.848e-3</td></tr><tr><td>ApproxMinVo</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.41</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>1.851e-3</td></tr><tr><td>Recursive</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.26</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>2.354e-3</td></tr><tr><td>Recursive2</td><td>174.7e-3</td><td>163.6e-3</td><td>146.6e-3</td><td>25.97e-3</td><td>23.95e-3</td><td>15.26</td><td>24.08</td><td>3.340</td><td>6.209</td><td>168.4e-3</td><td>50.26e-3</td><td>1.767e-3</td></tr><tr><td rowspan="8">1.000e-02</td><td>Interval</td><td>56.51e-3</td><td>56.93e-3</td><td>69.18e-3</td><td>7.951e-3</td><td>7.287e-3</td><td>5.038</td><td>9.100</td><td>1.163</td><td>2.361</td><td>62.81e-3</td><td>21.50e-3</td><td>58.59</td></tr><tr><td>Bernstein</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.887</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>302.4</td></tr><tr><td>MinVariance</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.893</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>325.0</td></tr><tr><td>B SPLines</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.958</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>605.3</td></tr><tr><td>MinNo</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.890</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>314.4</td></tr><tr><td>MinVo</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.898</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>347.2</td></tr><tr><td>ApproxMinVo</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.898</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>347.7</td></tr><tr><td>Recursive</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.887</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>330.4</td></tr><tr><td>Recursive2</td><td>34.48e-3</td><td>32.35e-3</td><td>28.93e-3</td><td>5.134e-3</td><td>4.748e-3</td><td>2.887</td><td>4.746</td><td>651.3e-3</td><td>1.224</td><td>33.23e-3</td><td>9.892e-3</td><td>306.9</td></tr><tr><td rowspan="8">5.000e-03</td><td>Interval</td><td>28.25e-3</td><td>28.46e-3</td><td>34.59e-3</td><td>3.976e-3</td><td>3.644e-3</td><td>2.505</td><td>4.549</td><td>581.2e-3</td><td>1.180</td><td>31.40e-3</td><td>10.749e-3</td><td>289.0</td></tr><tr><td>Bernstein</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.441</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>149.8</td></tr><tr><td>MinVariance</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.444</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>161.4</td></tr><tr><td>B SPLines</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.477</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>299.8</td></tr><tr><td>MinNo</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.443</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>156.0</td></tr><tr><td>MinVo</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.447</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>172.5</td></tr><tr><td>ApproxMinVo</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.447</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>172.8</td></tr><tr><td>Recursive</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.441</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>156.9</td></tr><tr><td>Recursive2</td><td>17.21e-3</td><td>16.15e-3</td><td>14.44e-3</td><td>2.563e-3</td><td>2.371e-3</td><td>1.441</td><td>2.369</td><td>325.2e-3</td><td>610.9e-3</td><td>16.59e-3</td><td>4.937e-3</td><td>151.0</td></tr><tr><td rowspan="8">1.000e-03</td><td>Interval</td><td>5.651e-3</td><td>5.693e-3</td><td>6.918e-3</td><td>795.2e-6</td><td>728.7e-6</td><td>501.0e-3</td><td>909.8e-3</td><td>116.2e-3</td><td>236.0e-3</td><td>6.281e-3</td><td>2.150e-3</td><td>57.26</td></tr><tr><td>Bernstein</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>287.9e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>29.76</td></tr><tr><td>MinVariance</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>288.5e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>32.11</td></tr><tr><td>B SPLines</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>295.1e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>59.53</td></tr><tr><td>MinNo</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>288.2e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>31.04</td></tr><tr><td>MinVo</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>289.0e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>34.34</td></tr><tr><td>ApproxMinVo</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>289.1e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>34.40</td></tr><tr><td>Recursive</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>287.9e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>30.04</td></tr><tr><td>Recursive2</td><td>3.438e-3</td><td>3.226e-3</td><td>2.884e-3</td><td>512.0e-6</td><td>473.8e-6</td><td>287.9e-3</td><td>473.3e-3</td><td>64.96e-3</td><td>122.0e-3</td><td>3.313e-3</td><td>985.9e-6</td><td>29.81</td></tr></tbody></table>
<table><caption>Table 51: 3D Problem list and their specificities.</caption><thead><tr><th>problem</th><th>n</th><th>center of the target</th><th>α</th><th>criteria</th></tr></thead><tbody><tr><td>1</td><td>4</td><td>{0.4; 0.4; 0.7}</td><td>1.0</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>2</td><td>4</td><td>{0.6; 0.6; 0.6}</td><td>1.0</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>3</td><td>4</td><td>{0.4; 0.4; 0.7}</td><td>0.1</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>4</td><td>4</td><td>{0.6; 0.6; 0.6}</td><td>0.1</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>5</td><td>6</td><td>{0.4; 0.4; 0.7}</td><td>1.0</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>6</td><td>6</td><td>{0.6; 0.6; 0.6}</td><td>1.0</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>7</td><td>6</td><td>{0.4; 0.4; 0.7}</td><td>0.1</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>8</td><td>6</td><td>{0.6; 0.6; 0.6}</td><td>0.1</td><td>Σ<sub>i</sub> q<sub>i</sub><sup>2</sup></td></tr><tr><td>11</td><td>4</td><td>{0.4; 0.4; 0.7}</td><td>1.0</td><td>Σ<sub>i</sub> Γ<sub>i</sub><sup>2</sup></td></tr><tr><td>12</td><td>4</td><td>{0.6; 0.6; 0.6}</td><td>1.0</td><td>Σ<sub>i</sub> Γ<sub>i</sub><sup>2</sup></td></tr><tr><td>13</td><td>4</td><td>{0.4; 0.4; 0.7}</td><td>0.1</td><td>Σ<sub>i</sub> Γ<sub>i</sub><sup>2</sup></td></tr><tr><td>14</td><td>4</td><td>{0.6; 0.6; 0.6}</td><td>0.1</td><td>Σ<sub>i</sub> Γ<sub>i</sub><sup>2</sup></td></tr></tbody></table>

<table><caption>Table 52: Bissection of problem 3D with problem: 1, type: MinFirst</caption><thead><tr><th>precision</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="8">0.001</td><td>Interval</td><td>55.07e-6</td><td>268.4</td><td>268.4</td><td>04:28</td><td>4272203</td><td>62.83e-6</td><td>2.6120</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.93</td><td>27.52</td><td>117.4</td><td>01:57</td><td>1268249</td><td>21.70e-6</td><td>2.6084</td><td>10.25</td><td>43.75</td><td>29.69</td></tr><tr><td>MinVariance</td><td>153.1</td><td>28.86</td><td>181.9</td><td>03:01</td><td>1379659</td><td>20.92e-6</td><td>2.6086</td><td>10.75</td><td>67.77</td><td>32.29</td></tr><tr><td>BSplines</td><td>95.29</td><td>58.47</td><td>153.8</td><td>02:33</td><td>3196075</td><td>18.29e-6</td><td>2.6100</td><td>21.78</td><td>57.28</td><td>74.81</td></tr><tr><td>MinNorm</td><td>154.2</td><td>27.15</td><td>181.3</td><td>03:01</td><td>1327313</td><td>20.46e-6</td><td>2.6085</td><td>10.12</td><td>67.56</td><td>31.07</td></tr><tr><td>MinVolume</td><td>142.5</td><td>29.66</td><td>172.2</td><td>02:52</td><td>1489937</td><td>19.91e-6</td><td>2.6087</td><td>11.05</td><td>64.14</td><td>34.88</td></tr><tr><td>ApproxMinVolume</td><td>146.7</td><td>29.69</td><td>176.4</td><td>02:56</td><td>1492819</td><td>19.89e-6</td><td>2.6087</td><td>11.06</td><td>65.70</td><td>34.94</td></tr><tr><td>Recursive</td><td>104.9</td><td>26.95</td><td>131.9</td><td>02:11</td><td>1270375</td><td>21.22e-6</td><td>2.6084</td><td>10.04</td><td>49.13</td><td>29.74</td></tr><tr><td>Recursive2</td><td>120.3</td><td>26.88</td><td>147.2</td><td>02:27</td><td>1270105</td><td>21.16e-6</td><td>2.6084</td><td>10.01</td><td>54.84</td><td>29.73</td></tr><tr><td rowspan="8">0.01</td><td>Interval</td><td>30.99e-6</td><td>24.53</td><td>24.53</td><td>24.531</td><td>401723</td><td>61.06e-6</td><td>2.7144</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.60</td><td>3.151</td><td>92.75</td><td>01:32</td><td>116209</td><td>27.11e-6</td><td>2.6766</td><td>12.84</td><td>378.1</td><td>28.93</td></tr><tr><td>MinVariance</td><td>158.4</td><td>3.188</td><td>161.6</td><td>02:41</td><td>123359</td><td>25.84e-6</td><td>2.6783</td><td>12.99</td><td>658.6</td><td>30.71</td></tr><tr><td>BSplines</td><td>95.63</td><td>5.464</td><td>101.1</td><td>01:41</td><td>208225</td><td>26.24e-6</td><td>2.6975</td><td>22.27</td><td>412.1</td><td>51.83</td></tr><tr><td>MinNorm</td><td>153.3</td><td>3.139</td><td>156.5</td><td>02:36</td><td>119935</td><td>26.18e-6</td><td>2.6775</td><td>12.80</td><td>637.9</td><td>29.86</td></tr><tr><td>MinVolume</td><td>148.2</td><td>3.440</td><td>151.6</td><td>02:31</td><td>129969</td><td>26.47e-6</td><td>2.6799</td><td>14.02</td><td>618.1</td><td>32.35</td></tr><tr><td>ApproxMinVolume</td><td>145.7</td><td>3.541</td><td>149.2</td><td>02:29</td><td>130143</td><td>27.21e-6</td><td>2.6799</td><td>14.43</td><td>608.3</td><td>32.40</td></tr><tr><td>Recursive</td><td>104.7</td><td>3.246</td><td>108.0</td><td>01:47</td><td>117323</td><td>27.67e-6</td><td>2.6766</td><td>13.23</td><td>440.1</td><td>29.20</td></tr><tr><td>Recursive2</td><td>119.8</td><td>3.284</td><td>123.1</td><td>02:03</td><td>117539</td><td>27.94e-6</td><td>2.6766</td><td>13.39</td><td>501.6</td><td>29.26</td></tr></tbody></table>

<table><caption>Table 53: Bissection of problem 3D with problem: 2, type: MinFirst</caption><thead><tr><th>precision</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="8">0.001</td><td>Interval</td><td>32.90e-6</td><td>1.563</td><td>1.563</td><td>1.563</td><td>24393</td><td>64.06e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.48</td><td>188.7e-3</td><td>89.67</td><td>01:29</td><td>4157</td><td>45.38e-6</td><td>infeasible</td><td>12.07</td><td>5738.0</td><td>17.04</td></tr><tr><td>MinVariance</td><td>156.3</td><td>179.7e-3</td><td>156.5</td><td>02:36</td><td>4157</td><td>43.24e-6</td><td>infeasible</td><td>11.50</td><td>10014.1</td><td>17.04</td></tr><tr><td>BSplines</td><td>96.50</td><td>203.5e-3</td><td>96.70</td><td>01:36</td><td>4157</td><td>48.97e-6</td><td>infeasible</td><td>13.03</td><td>6188.1</td><td>17.04</td></tr><tr><td>MinNorm</td><td>150.7</td><td>184.7e-3</td><td>150.9</td><td>02:30</td><td>4157</td><td>44.42e-6</td><td>infeasible</td><td>11.82</td><td>9656.6</td><td>17.04</td></tr><tr><td>MinVolume</td><td>144.6</td><td>192.7e-3</td><td>144.8</td><td>02:24</td><td>4157</td><td>46.35e-6</td><td>infeasible</td><td>12.33</td><td>9263.6</td><td>17.04</td></tr><tr><td>ApproxMinVolume</td><td>140.2</td><td>192.4e-3</td><td>140.4</td><td>02:20</td><td>4157</td><td>46.28e-6</td><td>infeasible</td><td>12.31</td><td>8985.3</td><td>17.04</td></tr><tr><td>Recursive</td><td>105.1</td><td>189.3e-3</td><td>105.3</td><td>01:45</td><td>4157</td><td>45.54e-6</td><td>infeasible</td><td>12.11</td><td>6736.3</td><td>17.04</td></tr><tr><td>Recursive2</td><td>119.9</td><td>189.6e-3</td><td>120.0</td><td>02:00</td><td>4157</td><td>45.60e-6</td><td>infeasible</td><td>12.13</td><td>7681.7</td><td>17.04</td></tr><tr><td rowspan="8">0.01</td><td>Interval</td><td>45.06e-6</td><td>1.672</td><td>1.672</td><td>1.672</td><td>24393</td><td>68.54e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.86</td><td>191.4e-3</td><td>90.05</td><td>01:30</td><td>4157</td><td>46.05e-6</td><td>infeasible</td><td>11.45</td><td>5385.7</td><td>17.04</td></tr><tr><td>MinVariance</td><td>162.0</td><td>185.7e-3</td><td>162.2</td><td>02:42</td><td>4157</td><td>44.68e-6</td><td>infeasible</td><td>11.11</td><td>9703.2</td><td>17.04</td></tr><tr><td>BSplines</td><td>96.26</td><td>199.5e-3</td><td>96.46</td><td>01:36</td><td>4157</td><td>47.98e-6</td><td>infeasible</td><td>11.93</td><td>5769.4</td><td>17.04</td></tr><tr><td>MinNorm</td><td>156.8</td><td>192.8e-3</td><td>157.0</td><td>02:36</td><td>4157</td><td>46.37e-6</td><td>infeasible</td><td>11.53</td><td>9389.9</td><td>17.04</td></tr><tr><td>MinVolume</td><td>150.3</td><td>196.2e-3</td><td>150.5</td><td>02:30</td><td>4157</td><td>47.21e-6</td><td>infeasible</td><td>11.74</td><td>8999.9</td><td>17.04</td></tr><tr><td>ApproxMinVolume</td><td>147.5</td><td>197.2e-3</td><td>147.7</td><td>02:27</td><td>4157</td><td>47.43e-6</td><td>infeasible</td><td>11.79</td><td>8832.9</td><td>17.04</td></tr><tr><td>Recursive</td><td>105.1</td><td>188.4e-3</td><td>105.3</td><td>01:45</td><td>4157</td><td>45.33e-6</td><td>infeasible</td><td>11.27</td><td>6299.8</td><td>17.04</td></tr><tr><td>Recursive2</td><td>120.2</td><td>189.1e-3</td><td>120.4</td><td>02:00</td><td>4157</td><td>45.49e-6</td><td>infeasible</td><td>11.31</td><td>7200.2</td><td>17.04</td></tr></tbody></table>

<table><caption>Table 54: Bissection of problem 3D with problem: 3, type: MinFirst</caption><thead><tr><th>precision</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="8">0.001</td><td>Interval</td><td>36.95e-6</td><td>283.0</td><td>283.0</td><td>04:42</td><td>4461159</td><td>63.43e-6</td><td>2.6120</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.20</td><td>29.68</td><td>118.9</td><td>01:58</td><td>1268485</td><td>23.39e-6</td><td>2.6084</td><td>10.49</td><td>42.01</td><td>28.43</td></tr><tr><td>MinVariance</td><td>160.2</td><td>32.76</td><td>193.0</td><td>03:12</td><td>1383413</td><td>23.68e-6</td><td>2.6086</td><td>11.58</td><td>68.20</td><td>31.01</td></tr><tr><td>BSplines</td><td>95.90</td><td>70.43</td><td>166.3</td><td>02:46</td><td>3265633</td><td>21.57e-6</td><td>2.6100</td><td>24.89</td><td>58.78</td><td>73.20</td></tr><tr><td>MinNorm</td><td>155.6</td><td>32.50</td><td>188.1</td><td>03:08</td><td>1329327</td><td>24.45e-6</td><td>2.6085</td><td>11.48</td><td>66.48</td><td>29.80</td></tr><tr><td>MinVolume</td><td>149.2</td><td>35.02</td><td>184.2</td><td>03:04</td><td>1496455</td><td>23.40e-6</td><td>2.6087</td><td>12.38</td><td>65.08</td><td>33.54</td></tr><tr><td>ApproxMinVolume</td><td>146.4</td><td>35.73</td><td>182.1</td><td>03:02</td><td>1499327</td><td>23.83e-6</td><td>2.6087</td><td>12.63</td><td>64.36</td><td>33.61</td></tr><tr><td>Recursive</td><td>104.8</td><td>30.58</td><td>135.4</td><td>02:15</td><td>1270659</td><td>24.07e-6</td><td>2.6084</td><td>10.81</td><td>47.83</td><td>28.48</td></tr><tr><td>Recursive2</td><td>119.8</td><td>30.02</td><td>149.8</td><td>02:29</td><td>1270449</td><td>23.63e-6</td><td>2.6084</td><td>10.61</td><td>52.94</td><td>28.48</td></tr><tr><td rowspan="8">0.01</td><td>Interval</td><td>41.96e-6</td><td>25.23</td><td>25.23</td><td>25.231</td><td>396967</td><td>63.56e-6</td><td>2.7144</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.69</td><td>4.003</td><td>93.69</td><td>01:33</td><td>114233</td><td>35.04e-6</td><td>2.6766</td><td>15.87</td><td>371.3</td><td>28.78</td></tr><tr><td>MinVariance</td><td>164.7</td><td>4.307</td><td>169.0</td><td>02:48</td><td>121209</td><td>35.53e-6</td><td>2.6783</td><td>17.07</td><td>669.6</td><td>30.53</td></tr><tr><td>BSplines</td><td>95.95</td><td>7.112</td><td>103.1</td><td>01:43</td><td>201303</td><td>35.33e-6</td><td>2.6975</td><td>28.19</td><td>408.5</td><td>50.71</td></tr><tr><td>MinNorm</td><td>154.1</td><td>3.939</td><td>158.1</td><td>02:38</td><td>117841</td><td>33.43e-6</td><td>2.6775</td><td>15.61</td><td>626.5</td><td>29.69</td></tr><tr><td>MinVolume</td><td>148.6</td><td>4.414</td><td>153.0</td><td>02:32</td><td>127467</td><td>34.63e-6</td><td>2.6799</td><td>17.50</td><td>606.3</td><td>32.11</td></tr><tr><td>ApproxMinVolume</td><td>146.6</td><td>4.462</td><td>151.0</td><td>02:31</td><td>127643</td><td>34.96e-6</td><td>2.6799</td><td>17.69</td><td>598.5</td><td>32.15</td></tr><tr><td>Recursive</td><td>105.3</td><td>4.045</td><td>109.3</td><td>01:49</td><td>115373</td><td>35.06e-6</td><td>2.6766</td><td>16.03</td><td>433.2</td><td>29.06</td></tr><tr><td>Recursive2</td><td>119.4</td><td>4.075</td><td>123.5</td><td>02:03</td><td>115651</td><td>35.23e-6</td><td>2.6766</td><td>16.15</td><td>489.6</td><td>29.13</td></tr></tbody></table>
<table><caption>Table 55: Bissection of problem 3D with problem: 4, type: MinFirst</caption><thead><tr><th>precision</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="7">0.001</td><td>Interval</td><td>32.19e-6</td><td>935.8e-3</td><td>935.8e-3</td><td>0.936</td><td>15151</td><td>61.76e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.23</td><td>203.1e-3</td><td>89.44</td><td>01:29</td><td>2207</td><td>92.02e-6</td><td>infeasible</td><td>21.70</td><td>9557.1</td><td>14.57</td></tr><tr><td>MinVariance</td><td>158.8</td><td>201.3e-3</td><td>159.0</td><td>02:39</td><td>2207</td><td>91.20e-6</td><td>infeasible</td><td>21.51</td><td>16993.8</td><td>14.57</td></tr><tr><td>BSplines</td><td>95.62</td><td>244.2e-3</td><td>95.86</td><td>01:35</td><td>2637</td><td>92.59e-6</td><td>infeasible</td><td>26.09</td><td>10243.5</td><td>17.40</td></tr><tr><td>MinNorm</td><td>154.6</td><td>198.1e-3</td><td>154.7</td><td>02:34</td><td>2205</td><td>89.82e-6</td><td>infeasible</td><td>21.16</td><td>16536.1</td><td>14.55</td></tr><tr><td>MinVolume</td><td>150.3</td><td>211.5e-3</td><td>150.5</td><td>02:30</td><td>2257</td><td>93.69e-6</td><td>infeasible</td><td>22.60</td><td>16086.4</td><td>14.90</td></tr><tr><td>ApproxMinVolume</td><td>147.7</td><td>209.8e-3</td><td>147.9</td><td>02:27</td><td>2257</td><td>92.98e-6</td><td>infeasible</td><td>22.42</td><td>15800.0</td><td>14.90</td></tr><tr><td rowspan="7">0.01</td><td>Recursive</td><td>104.2</td><td>213.9e-3</td><td>104.5</td><td>01:44</td><td>2285</td><td>93.60e-6</td><td>infeasible</td><td>22.85</td><td>11161.3</td><td>15.08</td></tr><tr><td>Recursive2</td><td>121.0</td><td>218.7e-3</td><td>121.2</td><td>02:01</td><td>2309</td><td>94.72e-6</td><td>infeasible</td><td>23.37</td><td>12956.2</td><td>15.24</td></tr><tr><td>Interval</td><td>41.96e-6</td><td>993.0e-3</td><td>993.0e-3</td><td>0.993</td><td>15151</td><td>65.54e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>89.34</td><td>202.2e-3</td><td>89.54</td><td>01:29</td><td>2207</td><td>91.63e-6</td><td>infeasible</td><td>20.37</td><td>9017.1</td><td>14.57</td></tr><tr><td>MinVariance</td><td>158.9</td><td>198.1e-3</td><td>159.1</td><td>02:39</td><td>2207</td><td>89.74e-6</td><td>infeasible</td><td>19.95</td><td>16026.5</td><td>14.57</td></tr><tr><td>BSplines</td><td>95.84</td><td>242.7e-3</td><td>96.08</td><td>01:36</td><td>2637</td><td>92.05e-6</td><td>infeasible</td><td>24.45</td><td>9675.9</td><td>17.40</td></tr><tr><td>MinNorm</td><td>154.0</td><td>200.7e-3</td><td>154.2</td><td>02:34</td><td>2205</td><td>91.01e-6</td><td>infeasible</td><td>20.21</td><td>15532.8</td><td>14.55</td></tr><tr><td rowspan="7">0.01</td><td>MinVolume</td><td>148.6</td><td>206.8e-3</td><td>148.9</td><td>02:28</td><td>2257</td><td>91.64e-6</td><td>infeasible</td><td>20.83</td><td>14990.0</td><td>14.90</td></tr><tr><td>ApproxMinVolume</td><td>147.0</td><td>214.5e-3</td><td>147.2</td><td>02:27</td><td>2257</td><td>95.02e-6</td><td>infeasible</td><td>21.60</td><td>14826.4</td><td>14.90</td></tr><tr><td>Recursive</td><td>105.2</td><td>214.6e-3</td><td>105.4</td><td>01:45</td><td>2285</td><td>93.90e-6</td><td>infeasible</td><td>21.61</td><td>10612.9</td><td>15.08</td></tr><tr><td>Recursive2</td><td>120.9</td><td>216.5e-3</td><td>121.1</td><td>02:01</td><td>2309</td><td>93.77e-6</td><td>infeasible</td><td>21.81</td><td>12194.6</td><td>15.24</td></tr></tbody></table>

<table><caption>Table 56: Bissection of problem 3D with problem: 5, type: MinFirst</caption><thead><tr><th>precision</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="7">0.001</td><td>Interval</td><td>33.00e-6</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>380.5</td><td>2164000</td><td>2164000</td><td>25-01:06:40</td><td>37923617025</td><td>57.06e-6</td><td>2.3211</td><td></td><td></td><td></td></tr><tr><td>MinVariance</td><td>421.3</td><td>2493120</td><td>2493120</td><td>28-20:32:00</td><td>43275698195</td><td>57.61e-6</td><td>2.3213</td><td></td><td></td><td></td></tr><tr><td>BSplines</td><td>391.8</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>MinNorm</td><td>414.0</td><td>2343590</td><td>2343590</td><td>27-02:59:50</td><td>40763306011</td><td>57.49e-6</td><td>2.3212</td><td></td><td></td><td></td></tr><tr><td>MinVolume</td><td>410.2</td><td>2725160</td><td>2725160</td><td>31-12:59:20</td><td>48888845645</td><td>55.74e-6</td><td>2.3214</td><td></td><td></td><td></td></tr><tr><td>ApproxMinVolume</td><td>400.7</td><td>2762980</td><td>2762980</td><td>31-23:29:40</td><td>49029888994</td><td>56.35e-6</td><td>2.3214</td><td></td><td></td><td></td></tr><tr><td rowspan="7">0.01</td><td>Recursive</td><td>384.9</td><td>2174260</td><td>2174260</td><td>25-03:57:40</td><td>37981856936</td><td>57.24e-6</td><td>2.3211</td><td></td><td></td><td></td></tr><tr><td>Recursive2</td><td>381.7</td><td>2186080</td><td>2186080</td><td>25-07:14:40</td><td>37939553861</td><td>57.62e-6</td><td>2.3211</td><td></td><td></td><td></td></tr><tr><td>Interval</td><td>29.00e-6</td><td>1181660</td><td>1181660</td><td>13-16:14:20</td><td>13011250679</td><td>90.82e-6</td><td>2.4334</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>390.2</td><td>50438</td><td>50829</td><td>14:07:09</td><td>701021679</td><td>71.95e-6</td><td>2.4050</td><td>4.268</td><td>4.301</td><td>5.388</td></tr><tr><td>MinVariance</td><td>427.5</td><td>56886</td><td>57314</td><td>15:55:14</td><td>773715037</td><td>73.52e-6</td><td>2.4067</td><td>4.814</td><td>4.850</td><td>5.947</td></tr><tr><td>BSplines</td><td>397.9</td><td>136818</td><td>136818</td><td>1-14:00:18</td><td>1982114276</td><td>96.03e-6</td><td>2.4265</td><td>11.58</td><td>11.58</td><td>15.23</td></tr><tr><td>MinNorm</td><td>419.4</td><td>53384</td><td>53803</td><td>14:56:43</td><td>739932007</td><td>72.15e-6</td><td>2.4059</td><td>4.518</td><td>4.553</td><td>5.687</td></tr><tr><td>MinVolume</td><td>415.8</td><td>60804</td><td>61220</td><td>17:00:20</td><td>847192993</td><td>71.77e-6</td><td>2.4083</td><td>5.146</td><td>5.181</td><td>6.511</td></tr><tr><td>ApproxMinVolume</td><td>406.7</td><td>61037</td><td>61444</td><td>17:04:04</td><td>849137219</td><td>71.88e-6</td><td>2.4083</td><td>5.165</td><td>5.200</td><td>6.526</td></tr><tr><td>Recursive</td><td>390.7</td><td>50306</td><td>50697</td><td>14:04:57</td><td>707422381</td><td>71.11e-6</td><td>2.4050</td><td>4.257</td><td>4.290</td><td>5.437</td></tr><tr><td>Recursive2</td><td>389.2</td><td>50632</td><td>51022</td><td>14:10:22</td><td>704450383</td><td>71.88e-6</td><td>2.4050</td><td>4.285</td><td>4.318</td><td>5.414</td></tr></tbody></table>

<table><caption>Table 57: Bissection of problem 3D with problem: 6, type: MinFirst</caption><thead><tr><th>precision</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="7">0.001</td><td>Interval</td><td>34.00e-6</td><td>39924</td><td>39924</td><td>11:05:24</td><td>445969679</td><td>89.52e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>390.4</td><td>892.8</td><td>1283</td><td>21:23</td><td>8525007</td><td>104.7e-6</td><td>infeasible</td><td>2.236</td><td>3.214</td><td>1.912</td></tr><tr><td>MinVariance</td><td>428.0</td><td>902.5</td><td>1330</td><td>22:10</td><td>8525007</td><td>105.9e-6</td><td>infeasible</td><td>2.261</td><td>3.332</td><td>1.912</td></tr><tr><td>BSplines</td><td>395.9</td><td>907.4</td><td>1303</td><td>21:43</td><td>8525007</td><td>106.4e-6</td><td>infeasible</td><td>2.273</td><td>3.264</td><td>1.912</td></tr><tr><td>MinNorm</td><td>419.3</td><td>882.6</td><td>1301</td><td>21:41</td><td>8525007</td><td>103.5e-6</td><td>infeasible</td><td>2.211</td><td>3.261</td><td>1.912</td></tr><tr><td>MinVolume</td><td>415.0</td><td>886.5</td><td>1301</td><td>21:41</td><td>8525007</td><td>104.0e-6</td><td>infeasible</td><td>2.220</td><td>3.260</td><td>1.912</td></tr><tr><td>ApproxMinVolume</td><td>405.8</td><td>894.0</td><td>1299</td><td>21:39</td><td>8525007</td><td>104.9e-6</td><td>infeasible</td><td>2.239</td><td>3.256</td><td>1.912</td></tr><tr><td rowspan="7">0.01</td><td>Recursive</td><td>390.0</td><td>882.1</td><td>1272</td><td>21:12</td><td>8525007</td><td>103.5e-6</td><td>infeasible</td><td>2.209</td><td>3.186</td><td>1.912</td></tr><tr><td>Recursive2</td><td>389.7</td><td>876.5</td><td>1266</td><td>21:06</td><td>8525007</td><td>102.8e-6</td><td>infeasible</td><td>2.195</td><td>3.172</td><td>1.912</td></tr><tr><td>Interval</td><td>30.04e-6</td><td>39475</td><td>39475</td><td>10:57:55</td><td>445969679</td><td>88.52e-6</td><td>infeasible</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>387.4</td><td>891.8</td><td>1279</td><td>21:19</td><td>8525007</td><td>104.6e-6</td><td>infeasible</td><td>2.259</td><td>3.241</td><td>1.912</td></tr><tr><td>MinVariance</td><td>425.1</td><td>903.8</td><td>1328</td><td>22:08</td><td>8525007</td><td>106.0e-6</td><td>infeasible</td><td>2.289</td><td>3.366</td><td>1.912</td></tr><tr><td>BSplines</td><td>392.9</td><td>899.2</td><td>1292</td><td>21:32</td><td>8525007</td><td>105.5e-6</td><td>infeasible</td><td>2.278</td><td>3.273</td><td>1.912</td></tr><tr><td>MinNorm</td><td>416.1</td><td>894.0</td><td>1310</td><td>21:50</td><td>8525007</td><td>104.9e-6</td><td>infeasible</td><td>2.265</td><td>3.319</td><td>1.912</td></tr><tr><td>MinVolume</td><td>415.2</td><td>889.1</td><td>1304</td><td>21:44</td><td>8525007</td><td>104.3e-6</td><td>infeasible</td><td>2.252</td><td>3.304</td><td>1.912</td></tr><tr><td>ApproxMinVolume</td><td>404.4</td><td>888.0</td><td>1292</td><td>21:32</td><td>8525007</td><td>104.2e-6</td><td>infeasible</td><td>2.249</td><td>3.274</td><td>1.912</td></tr><tr><td>Recursive</td><td>389.3</td><td>876.8</td><td>1266</td><td>21:06</td><td>8525007</td><td>102.8e-6</td><td>infeasible</td><td>2.221</td><td>3.207</td><td>1.912</td></tr><tr><td>Recursive2</td><td>397.4</td><td>888.2</td><td>1285</td><td>21:25</td><td>8525007</td><td>104.2e-6</td><td>infeasible</td><td>2.250</td><td>3.257</td><td>1.912</td></tr></tbody></table>

<table><caption>Table 58: Bissection of problem 3D with problem: 7, type: MinFirst</caption><thead><tr><th>precision</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="7">0.001</td><td>Interval</td><td>35.00e-6</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>384.5</td><td>2225320</td><td>2225320</td><td>25-18:08:40</td><td>37960519007</td><td>58.62e-6</td><td>2.3211</td><td></td><td></td><td></td></tr><tr><td>MinVariance</td><td>421.3</td><td>2549850</td><td>2549850</td><td>29-12:17:30</td><td>43310199463</td><td>58.87e-6</td><td>2.3213</td><td></td><td></td><td></td></tr><tr><td>BSplines</td><td>390.3</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>MinNorm</td><td>412.2</td><td>2434670</td><td>2434670</td><td>28-04:17:50</td><td>40798936423</td><td>59.67e-6</td><td>2.3212</td><td></td><td></td><td></td></tr><tr><td>MinVolume</td><td>409.5</td><td>2774500</td><td>2774500</td><td>32-02:41:40</td><td>48910796304</td><td>56.73e-6</td><td>2.3214</td><td></td><td></td><td></td></tr><tr><td>ApproxMinVolume</td><td>400.3</td><td>2816500</td><td>2816500</td><td>32-14:21:40</td><td>49061766678</td><td>57.41e-6</td><td>2.3214</td><td></td><td></td><td></td></tr><tr><td rowspan="7">0.01</td><td>Recursive</td><td>387.1</td><td>2215240</td><td>2215240</td><td>25-15:20:40</td><td>38008755563</td><td>58.28e-6</td><td>2.3211</td><td></td><td></td><td></td></tr><tr><td>Recursive2</td><td>376.2</td><td>2243830</td><td>2243830</td><td>25-23:17:10</td><td>37976413067</td><td>59.08e-6</td><td>2.3211</td><td></td><td></td><td></td></tr><tr><td>Interval</td><td>36.00e-6</td><td>1160340</td><td>1160340</td><td>13-10:19:00</td><td>12442500587</td><td>93.26e-6</td><td>2.4334</td><td>100.0</td><td>100.0</td><td>100.0</td></tr><tr><td>Bernstein</td><td>390.8</td><td>64617</td><td>65008</td><td>18:03:28</td><td>721345765</td><td>89.58e-6</td><td>2.4050</td><td>5.569</td><td>5.603</td><td>5.797</td></tr><tr><td>MinVariance</td><td>429.0</td><td>70628</td><td>71057</td><td>19:44:17</td><td>793148783</td><td>89.05e-6</td><td>2.4067</td><td>6.087</td><td>6.124</td><td>6.375</td></tr><tr><td>BSplines</td><td>397.4</td><td>159015</td><td>159016</td><td>1-20:10:16</td><td>1981282258</td><td>80.26e-6</td><td>2.4265</td><td>13.70</td><td>13.70</td><td>15.92</td></tr><tr><td>MinNorm</td><td>421.7</td><td>68121</td><td>68543</td><td>19:02:23</td><td>759790583</td><td>89.66e-6</td><td>2.4059</td><td>5.871</td><td>5.907</td><td>6.106</td></tr><tr><td>MinVolume</td><td>418.5</td><td>74383</td><td>74802</td><td>20:46:42</td><td>865656029</td><td>85.93e-6</td><td>2.4083</td><td>6.411</td><td>6.447</td><td>6.957</td></tr><tr><td>ApproxMinVolume</td><td>408.9</td><td>74960</td><td>75369</td><td>20:56:09</td><td>867573993</td><td>86.40e-6</td><td>2.4083</td><td>6.460</td><td>6.495</td><td>6.973</td></tr><tr><td rowspan="7">0.01</td><td>Recursive</td><td>393.2</td><td>65047</td><td>65440</td><td>18:10:40</td><td>727685465</td><td>89.39e-6</td><td>2.4050</td><td>5.606</td><td>5.640</td><td>5.848</td></tr><tr><td>Recursive2</td><td>393.6</td><td>65473</td><td>65867</td><td>18:17:47</td><td>724746019</td><td>90.34e-6</td><td>2.4050</td><td>5.643</td><td>5.677</td><td>5.825</td></tr></tbody></table>