Thu Sep 13 12:27:02 2018 POLYNOMIALS Python version: 3.6.5 Test the POLYNOMIALS library. BUTCHER_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax butcher: [-1.4393333333, +0.219] 16 -0.93923623 0.17221536 32 -1.0968088 0.16197944 64 -1.218607 0.1354706 128 -1.1469826 0.20012365 256 -1.1635509 0.186426 512 -1.2611865 0.16438617 1024 -1.3017625 0.18193983 2048 -1.3289019 0.1806981 4096 -1.3039854 0.19705967 8192 -1.333097 0.19678596 16384 -1.3673942 0.19555627 32768 -1.3474724 0.20581226 65536 -1.3656995 0.21253276 131072 -1.3557414 0.21230664 262144 -1.396927 0.21770053 524288 -1.3972661 0.2141781 1048576 -1.3947105 0.21641187 BUTCHER_TEST: Normal end of execution. CAMEL_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax camel: [ -1.031628453489616, ? ]: 16 2.342937 286.83359 32 -0.56565671 323.50352 64 -0.99620102 325.12668 128 -1.0273859 379.33082 256 -0.68186958 307.37549 512 -1.015374 352.32362 1024 -1.0028786 338.51349 2048 -1.0016441 374.72284 4096 -1.0084598 375.34184 8192 -1.0300572 379.92558 16384 -1.0315199 399.00819 32768 -1.0307166 393.68009 65536 -1.0314998 401.21571 131072 -1.0316049 403.32599 262144 -1.0314514 400.65431 524288 -1.0315617 403.35615 1048576 -1.0316081 403.93334 CAMEL_TEST: Normal end of execution. CAMERA_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax camera: [-270397.4, +270202.6] 16 -46966.469 87607.588 32 -46583.374 131880.99 64 -107842.06 96384.786 128 -115095.89 102371.48 256 -123199.99 125799.98 512 -132145.03 166292.18 1024 -158207.06 142974.84 2048 -148419.68 149261.74 4096 -167042.06 152023.38 8192 -199173.19 186346.33 16384 -188996.59 195186.78 32768 -226765.18 232225.46 65536 -223290.07 199323.15 131072 -239475.78 214594.96 262144 -223937.43 219707.91 524288 -226095.13 221139.37 1048576 -220739.03 228089.02 CAMERA_TEST: Normal end of execution. CAPRASSE_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax caprasse: [-3.1800966258, +4.4852773332] 16 -1.1226408 3.568584 32 -1.6474497 3.5646288 64 -2.3032262 3.3464 128 -1.4093599 3.3841489 256 -2.1880554 3.7446468 512 -2.1566691 3.9496681 1024 -2.6810841 3.8717549 2048 -2.5089131 3.9548127 4096 -2.7086256 4.2402308 8192 -2.9173371 4.2522687 16384 -2.8636638 4.2956871 32768 -3.0577838 4.344869 65536 -2.9836817 4.2804552 131072 -3.0547438 4.4012908 262144 -3.0262008 4.3876695 524288 -3.0878865 4.4082584 1048576 -3.0555528 4.4608336 CAPRASSE_TEST: Normal end of execution. CYCLIC5_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax cyclic5: [-30000, +50000] 16 -9991.3699 6422.0691 32 -2145.46 4624.1816 64 -4222.7013 7624.4576 128 -14992.439 6112.1236 256 -8174.9702 11483.644 512 -8628.7181 23099.338 1024 -13808.801 14629.627 2048 -19021.724 35545.028 4096 -16946.406 28357.557 8192 -17621.745 26592.285 16384 -21133.528 33712.667 32768 -20793.871 29474.877 65536 -23036.082 27816.006 131072 -24933.06 35863.252 262144 -23580.773 33465.411 524288 -24018.552 42566.082 1048576 -25467.842 39498.546 CYCLIC5_TEST: Normal end of execution. CYCLIC7_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax cyclic7: [-5.0, +7.0] 16 -0.18181283 0.29432324 32 -0.15663074 0.24255663 64 -0.16138621 0.54274916 128 -0.64205099 0.90471332 256 -0.38664099 0.4517013 512 -0.94620073 0.58315863 1024 -1.5731949 0.96671019 2048 -2.8940778 1.0480151 4096 -1.8736787 1.3937264 8192 -2.6149667 1.3622428 16384 -1.8007469 2.363799 32768 -2.9369115 1.9192111 65536 -2.4776988 2.1075526 131072 -2.8124586 2.64887 262144 -3.3435107 3.2553435 524288 -2.4778211 3.3260307 1048576 -2.6699235 3.3031973 CYCLIC7_TEST: Normal end of execution. CYCLIC8_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax cyclic8: [-8.0, +8.0] 16 -0.057869173 0.4040071 32 -0.062239653 0.085081656 64 -0.11871792 0.045069958 128 -0.27457994 0.42183464 256 -0.19535866 0.27257318 512 -0.48900454 0.46127499 1024 -0.55066444 0.27500777 2048 -0.52842597 0.66598204 4096 -0.75418402 0.72146592 8192 -1.2867817 2.1938337 16384 -1.2925889 0.96031178 32768 -1.5094529 0.96608563 65536 -1.5874383 1.4683367 131072 -1.8481472 2.3454197 262144 -1.9697715 2.6195926 524288 -2.7816254 2.3305614 1048576 -2.3030658 2.3843761 CYCLIC8_TEST: Normal end of execution. GOLDSTEIN_PRICE_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax goldstein_price: [ 3, ? ]: 16 51.126762 820896.25 32 105.54597 203980.59 64 10.929573 724262.78 128 3.8173448 798623.04 256 9.765103 867929.3 512 8.2212511 969804.72 1024 5.0500142 932723.56 2048 4.4923539 940076.85 4096 3.0521693 955370.7 8192 3.052851 1001207.6 16384 3.0889651 1004841.2 32768 3.0052677 1007141.1 65536 3.0086204 1012877.9 131072 3.0024782 1012477.4 262144 3.0010786 1014881 524288 3.0014913 1015031.3 1048576 3.0002626 1014524 GOLDSTEIN_PRICE_TEST: Normal end of execution. HAIRER_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax hairer: [-1875.25, -48.25] 16 -926.04112 -155.03248 32 -1032.1236 -204.22139 64 -923.24307 -199.04507 128 -1315.0816 -135.9057 256 -1023.7182 -114.43377 512 -1309.2908 -112.66196 1024 -1316.0296 -97.738953 2048 -1525.3222 -93.393539 4096 -1474.1266 -68.406628 8192 -1491.7672 -73.468227 16384 -1493.3569 -64.931418 32768 -1594.9383 -74.160709 65536 -1678.7345 -73.053269 131072 -1611.0688 -67.44005 262144 -1659.3859 -58.289617 524288 -1699.7534 -64.000185 1048576 -1711.2542 -60.673485 HAIRER_TEST: Normal end of execution. HEART_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax heart: [-1.36775, +1.74345327935] 16 0.11400526 1.0073429 32 0.33667546 1.0259575 64 -0.34992183 1.2892407 128 -0.072258744 1.0525021 256 -0.47544864 1.4855549 512 -0.39839352 1.3603319 1024 -0.46795562 1.460674 2048 -0.51019817 1.4163847 4096 -0.5522869 1.5590095 8192 -0.77897477 1.5751637 16384 -0.7811037 1.5408105 32768 -0.82931372 1.6405503 65536 -0.76994495 1.6567845 131072 -0.90250154 1.6543471 262144 -0.97172897 1.6527369 524288 -0.82534024 1.6305971 1048576 -0.95704379 1.6857521 HEART_TEST: Normal end of execution. HIMMELBLAU_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax himmelblau: [0, ?] 16 3.3446125 535.1188 32 13.655508 697.02438 64 1.9671939 653.91876 128 0.93911542 833.24651 256 0.95895384 657.06209 512 0.78488697 753.40858 1024 0.034160517 723.87032 2048 0.0086696949 799.51371 4096 0.094442323 758.8565 8192 0.012979499 801.82259 16384 0.011881931 837.84701 32768 0.0063879156 860.94898 65536 0.0086555834 869.04177 131072 6.0345638e-05 881.11861 262144 0.0005764269 874.99533 524288 0.00083052001 883.81358 1048576 0.00030365441 884.93084 HIMMELBLAU_TEST: Normal end of execution. HUNECKE_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax hunecke: [-1436.515078155, +161.120543283] 16 -787.37431 -37.151792 32 -1101.7665 -73.779568 64 -1145.1583 -1.1219142 128 -1187.43 11.155422 256 -1286.887 -1.4634351 512 -1235.7902 42.278695 1024 -1230.098 66.519786 2048 -1246.8785 98.972822 4096 -1340.0398 85.469889 8192 -1263.167 98.622754 16384 -1330.1698 129.82889 32768 -1342.7544 98.772415 65536 -1343.6676 116.10917 131072 -1373.5601 123.79248 262144 -1384.2664 135.97752 524288 -1412.495 138.89539 1048576 -1416.6232 139.3435 HUNECKE_TEST: Normal end of execution. KEARFOTT_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax kearfott: [ 0, ? ]: 16 1.8906884 73.360385 32 0.60020712 102.14373 64 1.1089319 76.760052 128 0.86830459 97.633853 256 0.44032396 109.96424 512 0.20450634 122.71984 1024 0.23088758 130.90753 2048 0.29238038 151.91167 4096 0.2187191 158.58629 8192 0.14541503 157.67936 16384 0.04625697 183.66099 32768 0.06696469 171.01814 65536 0.036642795 168.82979 131072 0.030488703 195.98654 262144 0.018400791 176.58335 524288 0.0029127293 198.44425 1048576 0.0031188596 207.65414 KEARFOTT_TEST: Normal end of execution. LV3_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax lv3: [-9.35, +14.8 ] 16 -5.505976 2.3591925 32 -2.4111965 4.2213949 64 -8.7249261 5.11858 128 -6.1961183 5.0457201 256 -7.5299192 8.2467731 512 -7.9920129 6.5630835 1024 -6.5846246 8.049175 2048 -8.7683948 8.1907741 4096 -7.4715828 7.9498358 8192 -8.5198527 8.0636334 16384 -8.7896512 8.1588368 32768 -8.9203776 8.4752093 65536 -9.0467982 8.1474529 131072 -9.0094082 8.498095 262144 -9.0607673 8.530392 524288 -8.9696595 8.5032436 1048576 -9.085109 8.5466973 LV3_TEST: Normal end of execution. LV4_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax lv4: [-20.8, +22.8] 16 -6.8848937 4.1510841 32 -1.2407291 5.8874088 64 -8.3774179 8.796273 128 -8.1570453 11.197693 256 -8.6077054 7.9487207 512 -7.7025697 10.065551 1024 -9.8900494 11.028189 2048 -7.9788239 9.9161882 4096 -11.257609 12.147122 8192 -11.739144 12.86061 16384 -11.561053 12.518081 32768 -10.938758 14.114461 65536 -11.229925 13.276602 131072 -11.781531 13.54133 262144 -11.86689 13.522708 524288 -12.256175 14.396114 1048576 -12.543886 13.73975 LV4_TEST: Normal end of execution. MAGNETISM6_TEST: Python version: 3.6.5 Use N sample values of a polynomial over its domain to estimate its minimum Pmin and maximum Pmax N Pmin Pmax magnetism6: [-0.25, +280.0] 16 56.497685 176.95767 32 20.379747 155.4025 64 13.068286 198.97601 128 25.95516 174.67173 256 22.106663 191.07683 512 12.901629 216.42836 1024 7.5973547 194.56726 2048 3.7885021 219.99147 4096 6.675756 237.34871 8192 4.2613871 219.9844 16384 3.135742 233.3861 32768 4.5527182 241.1576 65536 0.83217616 230.89755 131072 2.191662 252.86324 262144 1.0148094 252.25502 524288 1.2388671 245.62328