Tue May 20 22:23:42 2025 polynomials_test(): python version: 3.10.12 numpy version: 1.26.4 Test polynomials(). butcher_test(): Use N sample values of the Butcher polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax butcher: [-1.4393333333, +0.219] 16 -0.85814041 0.13105299 32 -0.97044862 0.0015176563 64 -1.243066 0.12885597 128 -1.2226992 0.16598109 256 -1.3020711 0.18758136 512 -1.2748411 0.19031356 1024 -1.3121412 0.17266539 2048 -1.3322028 0.19089327 4096 -1.3156187 0.19372448 8192 -1.3443794 0.20076998 16384 -1.3507804 0.20881137 camel_test(): Use N sample values of the Camel polyomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax camel: [ -1.031628453489616, ? ]: 16 0.81324273 275.32955 32 -0.88962221 217.59882 64 -1.0097078 288.84283 128 -0.99227855 287.20013 256 -0.92367656 294.13106 512 -0.97339496 346.03798 1024 -1.0102249 352.87455 2048 -1.030551 400.97482 4096 -1.0261255 376.88601 8192 -1.0283352 399.71783 16384 -1.0254736 400.57465 camera_test(): Use N sample values of the Camera polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax camera: [-270397.4, +270202.6] 16 -129717.62 56417.97 32 -84252.75 89496.004 64 -92135.422 94006.228 128 -105377.14 103971.66 256 -105907.88 172445.35 512 -145499.13 145744.87 1024 -169672.54 148225.13 2048 -167461.2 164821.68 4096 -195201.38 196774.72 8192 -205120.94 230378.25 16384 -188751.31 206128.77 caprasse_test(): Use N sample values of the Caprasse polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax caprasse: [-3.1800966258, +4.4852773332] 16 -2.0230792 2.5494621 32 -1.7357577 2.9475883 64 -1.3058008 3.6078132 128 -2.679536 3.7404618 256 -1.6740973 3.8776653 512 -2.6071319 4.1890927 1024 -2.592018 3.8709795 2048 -2.9940921 3.9450002 4096 -2.7716602 4.1381621 8192 -2.7866579 4.1620856 16384 -2.892603 4.2184462 cyclic5_test(): Use N sample values of the Cyclic5 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax cyclic5: [-30000, +50000] 16 -4150.9122 13236.755 32 -8761.8011 5958.5432 64 -9274.7183 5660.4322 128 -10620.092 23129.501 256 -10921.373 17047.873 512 -15016.85 20303.893 1024 -13812.906 22947.633 2048 -15367.25 19607.13 4096 -17692.709 24895.858 8192 -16175.766 23568.657 16384 -21194.453 26257.863 cyclic7_test(): Use N sample values of the Cyclic7 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax cyclic7: [-5.0, +7.0] 16 -0.41827257 0.16241034 32 -0.15556861 0.17234241 64 -0.23834977 0.4810707 128 -0.39971241 0.29247238 256 -0.53203234 0.44774616 512 -0.82828769 1.0830567 1024 -1.1804686 0.5297243 2048 -0.61702506 0.89426468 4096 -1.2256205 1.5005169 8192 -2.1736199 3.2735801 16384 -2.0556235 1.4065414 cyclic8_test(): Use N sample values of the Cyclic8 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax cyclic8: [-8.0, +8.0] 16 -0.056187032 0.068204816 32 -0.053364749 0.22759233 64 -0.15758166 0.13982152 128 -0.27800454 0.20653375 256 -0.17522981 0.14670167 512 -0.37293962 0.52446632 1024 -0.33973049 0.71188516 2048 -0.87554672 0.45738347 4096 -0.98687513 1.7495692 8192 -1.0156635 3.5527796 16384 -1.2643778 1.1521026 goldstein_price_test(): Use N sample values of the Goldstein-Price polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax goldstein_price: [ 3, ? ]: 16 161.06506 581684.64 32 53.03555 520710.31 64 10.422098 370455.41 128 42.531117 758129.87 256 6.8965963 1013182.4 512 10.697049 870323.81 1024 3.2997512 912217.56 2048 3.1355503 990111.81 4096 3.2796804 999689.08 8192 3.2060858 986100.99 16384 3.2042284 1001137.3 hairer_test(): Use N sample values of the Hairer polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax hairer: [-1875.25, -48.25] 16 -1086.1125 -284.93453 32 -1061.3546 -124.61533 64 -978.70924 -152.43125 128 -1240.4099 -156.74592 256 -1269.7767 -107.07105 512 -1273.2825 -105.92109 1024 -1493.0932 -92.633178 2048 -1340.9224 -84.798923 4096 -1457.4412 -76.232088 8192 -1375.3099 -68.643306 16384 -1675.9104 -61.424024 heart_test(): Use N sample values of the Heart polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax heart: [-1.36775, +1.74345327935] 16 -0.40938435 1.1683886 32 0.020294445 1.2084571 64 -0.13597567 1.2900582 128 0.05316885 1.5603792 256 -0.38175753 1.4161597 512 -0.39546094 1.3739564 1024 -0.38373122 1.4016813 2048 -0.45137607 1.5576087 4096 -0.51354351 1.4917118 8192 -0.82896564 1.5800699 16384 -0.66543535 1.6321071 himmelblau_test(): Use N sample values of the Himmelblau polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax himmelblau: [0, ?] 16 7.4427715 329.50829 32 8.5483988 487.19532 64 0.30251802 424.64087 128 0.1480738 595.3543 256 0.16673561 578.24677 512 0.25991957 636.27748 1024 0.055716116 612.27102 2048 0.16929648 831.12683 4096 0.010147495 813.66611 8192 0.0093078387 855.66574 16384 0.0098742919 870.39106 hunecke_test(): Use N sample values of the Hunecke polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax hunecke: [-1436.515078155, +161.120543283] 16 -881.50538 -20.761958 32 -991.16714 -48.66045 64 -942.00224 -24.224693 128 -1176.1293 2.2740048 256 -1212.7143 -26.092999 512 -1247.5244 41.520674 1024 -1252.0038 52.650763 2048 -1254.1434 80.965731 4096 -1284.4067 91.528397 8192 -1316.8397 121.46378 16384 -1311.561 107.98039 kearfott_test(): Use N sample values of the Kearfott polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax kearfott: [ 0, ? ]: 16 3.0326836 91.726934 32 4.659759 113.17426 64 1.2217822 65.803168 128 1.3104528 78.021312 256 0.58694516 137.21101 512 0.59833967 122.52956 1024 0.58323175 131.41192 2048 0.14841038 124.78235 4096 0.16819426 141.9874 8192 0.17177413 158.33221 16384 0.047990232 160.96294 lv3_test(): Use N sample values of the LV3 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax lv3: [-9.35, +14.8 ] 16 -4.2509339 2.2879078 32 -4.2100548 3.6679658 64 -6.4928337 6.4912661 128 -5.9426753 5.7494858 256 -6.9972647 7.8864708 512 -7.7816117 6.9550148 1024 -8.2627247 7.3332721 2048 -7.8645708 8.0920302 4096 -8.0090959 8.1608807 8192 -8.2380953 8.2427674 16384 -8.6022041 8.0666728 lv4_test(): Use N sample values of the LV4 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax lv4: [-20.8, +22.8] 16 -6.8136041 4.1075808 32 -3.8177033 3.3707087 64 -3.1339642 9.7560949 128 -8.6521516 9.7416639 256 -7.6986099 9.4864865 512 -8.1961317 11.718001 1024 -8.95344 10.836996 2048 -11.717893 11.358089 4096 -10.520841 10.962563 8192 -11.297043 13.13332 16384 -11.436323 13.194069 magnetism6_test(): Use N sample values of the Magnetism6 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax magnetism6: [-0.25, +280.0] 16 62.214384 154.27713 32 14.583837 189.25718 64 20.388796 172.61968 128 15.906153 170.35143 256 13.921184 179.02698 512 12.781541 188.6184 1024 12.92641 205.24043 2048 8.3152036 212.30278 4096 8.6021347 227.26656 8192 6.2879854 220.76486 16384 0.99199683 236.35435 magnetism7_test(): Use N sample values of the Magnetism7 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax magnetism7: [-0.25, +330.0] 16 1.7898865 7.0819673 32 1.357459 7.1563911 64 1.3804581 6.8407325 128 0.17839465 8.1913265 256 0.85716757 9.582375 512 0.22956846 8.8602871 1024 0.59826971 9.3817361 2048 0.58041799 10.103245 4096 0.33388366 10.349936 8192 0.069995091 11.100046 16384 -0.062718274 10.515696 quadratic_test(): Use N sample values of the Quadratic polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax quadratic: [ -2, ? ]: 16 5580.2693 36448.83 32 13802.107 45714.714 64 9460.4143 45715.457 128 5876.023 49361.588 256 6056.6043 52798.602 512 6811.4821 57915.819 1024 3596.0305 56208.513 2048 4165.7318 63008.27 4096 4759.8729 59045.114 8192 4337.0042 60000.872 16384 3475.6898 59625.877 rd_test(): Use N sample values of the RD polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax rd: [-36.71269068, +10.40560403] 16 -25.952717 4.1569147 32 -26.502047 8.0416532 64 -29.359251 5.5413796 128 -26.248138 7.9184014 256 -30.295577 6.7099237 512 -33.707505 8.0923068 1024 -34.791383 9.5257078 2048 -33.67653 9.8998153 4096 -34.297956 9.9055388 8192 -35.058862 10.020042 16384 -35.183353 10.173775 reimer5_test(): Use N sample values of the Reimer5 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax reimer5: [-5.0, +5.0] 16 -2.0023621 0.024204625 32 -3.3867256 0.78978799 64 -3.5478417 1.6033407 128 -3.4573698 3.0415142 256 -3.5527357 3.547231 512 -3.2534825 2.2974376 1024 -3.8050261 3.901165 2048 -4.3427148 3.7887826 4096 -4.8100982 4.0887197 8192 -4.8438487 3.7366926 16384 -4.5693728 4.7261703 reimer6_test(): Use N sample values of the Reimer6 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax reimer6: [-937501, +937499] 16 -274023.55 133808.57 32 -195619.42 204188.54 64 -257093.23 287149.48 128 -249471.38 271250.8 256 -394445.09 253750.32 512 -303431.6 314586.89 1024 -306576.87 348592.01 2048 -361653.14 339015.95 4096 -414091.03 450420.87 8192 -433930.09 492875.08 16384 -437515.12 455037.66 rosenbrock_test(): Use N sample values of the Rosenbrock polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax rosenbrock: [ 0, ? ]: 16 179.32972 33171.279 32 407.78684 30614.173 64 1222.8115 35370.513 128 173.07607 41124.723 256 194.2578 46180.299 512 129.62181 46167.719 1024 80.270967 50051.883 2048 82.464006 55904.94 4096 16.732097 47856.697 8192 30.795302 54993.604 16384 28.503197 56767.164 schwefel_test(): Use N sample values of the Schwefel polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax schwefel: [ 0, ? ]: 16 50.673752 16651.984 32 24.977264 9541.9045 64 21.488449 16738 128 14.912986 18179.274 256 9.9834104 16247.857 512 1.1432316 20907.188 1024 1.9017923 20352.99 2048 1.4848971 19603.045 4096 0.87419688 21263.966 8192 0.33921158 21622.606 16384 0.35260621 23544.451 smith1_test(): Use N sample values of the Smith1 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax smith1: [ ?, ? ]: 16 14351.226 173445.44 32 10229.878 283761.47 64 8989.3448 327356.64 128 13694.289 362356.54 256 8915.6062 340174.63 512 3071.5235 369088.83 1024 1259.2493 422098.96 2048 2227.9783 390947.99 4096 592.40175 400136.13 8192 2059.8707 419967.7 16384 -623.00263 442158.03 smith2_test(): Use N sample values of the Smith2 polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax smith2: [ ?, ? ]: 16 -166432.49 -260.03624 32 -42495.149 -123.0196 64 -80585.032 -63.466215 128 -158482.78 22.329887 256 -204080.81 84.080691 512 -188802.34 43.946989 1024 -235581.2 129.58176 2048 -229232.83 65.001817 4096 -209403.37 118.91346 8192 -270313.74 158.35845 16384 -279450.96 218.43152 virasoro_test(): Use N sample values of the Virasoro polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax virasoro: [-29.0, +21.0] 16 -4.1048949 8.6168167 32 -7.6913808 10.398531 64 -9.5628834 12.613777 128 -7.5466229 15.855377 256 -11.833148 17.573432 512 -10.871905 18.115875 1024 -13.98947 20.08426 2048 -16.558629 18.029006 4096 -14.837027 19.488092 8192 -17.566042 17.982594 16384 -16.098452 19.177687 wright_test(): Use N sample values of the Wright polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax wright: [-30.25, 40.0 ] 16 -10.817793 -9.0642569 32 -11.545129 -8.2834118 64 -11.718529 -8.6584854 128 -11.412013 -7.8328741 256 -11.730896 -7.8823082 512 -11.784155 -8.0941608 1024 -11.650211 -7.9076079 2048 -11.735227 -7.7148724 4096 -11.811452 -7.8092509 8192 -12.025468 -7.7489015 16384 -11.9297 -7.6288668 zakharov_test(): Use N sample values of the Zakharov polynomial to estimate its minimum Pmin and maximum Pmax N Pmin Pmax zakharov: [ 0, ? ]: 16 59.365043 5551213.9 32 1940.2291 3846296.7 64 55.466685 5774242.9 128 17.09566 23307514 256 14.387054 12556172 512 20.428176 12277260 1024 17.833674 19903298 2048 2.695056 16462544 4096 12.083635 20378426 8192 4.0439571 20561688 16384 6.8808678 23663599 polynomials_test(): Normal end of execution. Tue May 20 22:23:42 2025