8 December 2016 10:44:11.015 AM POLYNOMIALS_TEST FORTRAN90 version. Test the POLYNOMIALS library. RANGE_BY_SAMPLING_TEST: Use N sample values of each 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 -1.2186070 0.13547060 128 -1.1469826 0.20012365 256 -1.1635509 0.18642600 512 -1.2611865 0.16438617 1024 -1.3017625 0.18193983 2048 -1.3289019 0.18069810 4096 -1.3039854 0.19705967 8192 -1.3330970 0.19678596 16384 -1.3673942 0.19555627 32768 -1.3474724 0.20581226 65536 -1.3656995 0.21253276 131072 -1.3557414 0.21230664 262144 -1.3969270 0.21770053 524288 -1.3972661 0.21417810 1048576 -1.3947105 0.21641187 camel: [ -1.031628453489616, ? ]: 16 2.3429370 286.83359 32 -0.56565671 323.50352 64 -0.99620102 325.12668 128 -1.0273859 379.33082 256 -0.68186958 307.37549 512 -1.0153740 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 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 caprasse: [-3.1800966258, +4.4852773332] 16 -1.1226408 3.5685840 32 -1.6474497 3.5646288 64 -2.3032262 3.3464000 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 4.3448690 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 cyclic5: [-30000, +50000] 16 -9991.3699 6422.0691 32 -2145.4600 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 -24933.060 35863.252 262144 -23580.773 33465.411 524288 -24018.552 42566.082 1048576 -25467.842 39498.546 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 0.45170130 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 2.3637990 32768 -2.9369115 1.9192111 65536 -2.4776988 2.1075526 131072 -2.8124586 2.6488700 262144 -3.3435107 3.2553435 524288 -2.4778211 3.3260307 1048576 -2.6699235 3.3031973 cyclic8: [-8.0, +8.0] 16 -0.40400710 0.57869173E-01 32 -0.85081656E-01 0.62239653E-01 64 -0.45069958E-01 0.11871792 128 -0.42183464 0.27457994 256 -0.27257318 0.19535866 512 -0.46127499 0.48900454 1024 -0.27500777 0.55066444 2048 -0.66598204 0.52842597 4096 -0.72146592 0.75418402 8192 -2.1938337 1.2867817 16384 -0.96031178 1.2925889 32768 -0.96608563 1.5094529 65536 -1.4683367 1.5874383 131072 -2.3454197 1.8481472 262144 -2.6195926 1.9697715 524288 -2.3305614 2.7816254 1048576 -2.3843761 2.3030658 goldstein_price: [ 3, ? ]: 16 51.126762 820896.25 32 105.54597 203980.59 64 10.929573 724262.78 128 3.8173448 798623.04 256 9.7651030 867929.30 512 8.2212511 969804.72 1024 5.0500142 932723.56 2048 4.4923539 940076.85 4096 3.0521693 955370.70 8192 3.0528510 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 1014881.0 524288 3.0014913 1015031.3 1048576 3.0002626 1014524.0 hairer: [-1875.25, -48.25] 16 -926.04112 -155.03248 32 -1032.1236 -204.22139 64 -923.24307 -199.04507 128 -1315.0816 -135.90570 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 -67.440050 262144 -1659.3859 -58.289617 524288 -1699.7534 -64.000185 1048576 -1711.2542 -60.673485 heart: [-1.36775, +1.74345327935 16 0.11400526 1.0073429 32 0.33667546 1.0259575 64 -0.34992183 1.2892407 128 -0.72258744E-01 1.0525021 256 -0.47544864 1.4855549 512 -0.39839352 1.3603319 1024 -0.46795562 1.4606740 2048 -0.51019817 1.4163847 4096 -0.55228690 1.5590095 8192 -0.77897477 1.5751637 16384 -0.78110370 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 himmelblau: [ 0, ? ]: 16 3.3446125 535.11880 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 0.34160517E-01 723.87032 2048 0.86696949E-02 799.51371 4096 0.94442323E-01 758.85650 8192 0.12979499E-01 801.82259 16384 0.11881931E-01 837.84701 32768 0.63879156E-02 860.94898 65536 0.86555834E-02 869.04177 131072 0.60345638E-04 881.11861 262144 0.57642690E-03 874.99533 524288 0.83052001E-03 883.81358 1048576 0.30365441E-03 884.93084 hunecke: [-1436.515078155, +161.120543283] 16 -787.37431 -37.151792 32 -1101.7665 -73.779568 64 -1145.1583 -1.1219142 128 -1187.4300 11.155422 256 -1286.8870 -1.4634351 512 -1235.7902 42.278695 1024 -1230.0980 66.519786 2048 -1246.8785 98.972822 4096 -1340.0398 85.469889 8192 -1263.1670 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 -1412.4950 138.89539 1048576 -1416.6232 139.34350 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 0.21871910 158.58629 8192 0.14541503 157.67936 16384 0.46256970E-01 183.66099 32768 0.66964690E-01 171.01814 65536 0.36642795E-01 168.82979 131072 0.30488703E-01 195.98654 262144 0.18400791E-01 176.58335 524288 0.29127293E-02 198.44425 1048576 0.31188596E-02 207.65414 lv3: [-9.35, +14.8 ] 16 -5.5059760 2.3591925 32 -2.4111965 4.2213949 64 -8.7249261 5.1185800 128 -6.1961183 5.0457201 256 -7.5299192 8.2467731 512 -7.9920129 6.5630835 1024 -6.5846246 8.0491750 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 8.4980950 262144 -9.0607673 8.5303920 524288 -8.9696595 8.5032436 1048576 -9.0851090 8.5466973 lv4: [-20.8, +22.8] 16 -6.8848937 4.1510841 32 -1.2407291 5.8874088 64 -8.3774179 8.7962730 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 12.860610 16384 -11.561053 12.518081 32768 -10.938758 14.114461 65536 -11.229925 13.276602 131072 -11.781531 13.541330 262144 -11.866890 13.522708 524288 -12.256175 14.396114 1048576 -12.543886 13.739750 magnetism6: [-0.25, +280.0] 16 56.497685 176.95767 32 20.379747 155.40250 64 13.068286 198.97601 128 25.955160 174.67173 256 22.106663 191.07683 512 12.901629 216.42836 1024 7.5973547 194.56726 2048 3.7885021 219.99147 4096 6.6757560 237.34871 8192 4.2613871 219.98440 16384 3.1357420 233.38610 32768 4.5527182 241.15760 65536 0.83217616 230.89755 131072 2.1916620 252.86324 262144 1.0148094 252.25502 524288 1.2388671 245.62328 1048576 0.47629613 249.92335 magnetism7: [-0.25, +330.0] 16 2.6180090 8.6149912 32 0.84013542 7.7905611 64 0.10419705 9.1555430 128 0.85844115 8.6331763 256 0.84481253 9.8951262 512 0.64885368 9.9182501 1024 0.55839943 10.079292 2048 0.21709923 11.768571 4096 0.16899743 10.572754 8192 0.10734926 11.301094 16384 0.55077004E-01 10.795513 32768 -0.11227651 12.181965 65536 -0.10820845 10.759920 131072 -0.16147763 12.082801 262144 -0.12626362 12.314361 524288 -0.18222411 11.922654 1048576 -0.15497799 12.449579 quadratic: [ -2, ? ]: 16 14839.882 48437.546 32 9845.9599 38301.328 64 9014.2470 42640.416 128 8896.8628 51065.164 256 7826.4518 52802.304 512 5740.1929 50460.374 1024 3763.5377 55927.901 2048 4614.0956 56865.908 4096 2543.6166 63334.067 8192 3816.7853 67292.050 16384 2150.4381 59774.276 32768 2040.1475 64602.841 65536 1472.6415 62707.543 131072 737.09050 65042.892 262144 552.45972 65332.719 524288 1220.0339 67224.386 1048576 779.21508 67670.243 rd: [-36.71269068, +10.40560403] 16 -25.280868 4.4971163 32 -21.911604 6.1641868 64 -31.845080 5.3140294 128 -28.185931 8.4685994 256 -32.223958 9.2807554 512 -34.371847 8.7126620 1024 -32.766074 9.4303876 2048 -33.705675 9.9432448 4096 -33.412589 10.057844 8192 -35.700890 9.5147254 16384 -34.981167 10.188773 32768 -35.442731 10.350390 65536 -35.469533 10.309571 131072 -36.174262 10.294439 262144 -36.248370 10.290169 524288 -36.252225 10.371493 1048576 -36.454686 10.310036 reimer5: [-5.0, +5.0] 16 -2.3614219 2.7045580 32 -3.9726956 0.98625751 64 -3.2170007 2.0327560 128 -3.4835047 2.8895155 256 -3.1948200 2.7631171 512 -4.4773954 3.3703699 1024 -4.1583900 3.4946049 2048 -4.6165214 3.0626765 4096 -4.4325067 3.2068212 8192 -4.8236500 3.7293080 16384 -4.8540543 4.3975442 32768 -4.5641130 4.4695758 65536 -4.6766860 4.2542402 131072 -4.8282780 4.6535908 262144 -4.9197691 4.5306161 524288 -4.9136181 4.7202292 1048576 -4.9259462 4.6990932 reimer6: [-937501, +937499] 16 -216406.12 143249.85 32 -198041.22 162876.89 64 -259952.01 263578.36 128 -356140.05 284512.09 256 -392049.90 351816.82 512 -300184.01 381708.35 1024 -344592.34 401510.85 2048 -318159.97 405190.34 4096 -397220.48 396754.81 8192 -435313.68 442697.45 16384 -511761.06 425393.65 32768 -465225.19 515696.49 65536 -537552.43 470410.11 131072 -520920.80 493498.49 262144 -561643.75 545348.96 524288 -597021.96 569344.23 1048576 -544521.82 614558.76 rosenbrock: [ 0, ? ]: 16 3279.0466 25302.945 32 640.12323 37067.048 64 251.72482 49858.143 128 724.18495 39743.876 256 111.01037 53190.697 512 90.868441 52432.713 1024 389.44889 43715.112 2048 30.919429 58801.745 4096 33.864178 49426.124 8192 62.229505 58722.932 16384 26.189543 61525.896 32768 40.233425 55536.656 65536 8.6736224 60633.106 131072 8.5587992 65560.511 262144 2.7753308 61103.666 524288 3.2017459 64586.774 1048576 3.9610611 64452.942 schwefel: [ 0, ? ]: 16 26.206988 14952.377 32 19.243326 14409.129 64 27.781311 14362.915 128 13.005732 15596.643 256 2.6939381 18210.459 512 6.3298470 17679.399 1024 1.7332467 19542.942 2048 1.7114028 20728.870 4096 3.9456338 20875.809 8192 1.0483197 22272.867 16384 0.35752552 22289.120 32768 0.36326783 23597.061 65536 0.40755157E-01 23006.963 131072 0.17805853 23778.348 262144 0.15952909 23857.285 524288 0.49104296E-01 23952.095 1048576 0.28332733E-01 24137.652 smith1: [ ?, ? ]: 16 31894.877 261820.28 32 20766.653 181182.48 64 18646.857 274074.00 128 8275.6721 401170.87 256 9830.8320 279646.51 512 6128.9482 356302.32 1024 4283.7641 374814.20 2048 205.84684 361051.80 4096 1562.0473 429562.69 8192 208.50129 432714.50 16384 2868.3284 441846.30 32768 -1873.5913 457636.33 65536 -676.31279 500037.78 131072 -1958.4829 490542.93 262144 -1184.2792 488462.48 524288 -2307.4269 485044.16 1048576 -2052.4322 485447.63 smith2: [ ?, ? ]: 16 -94691.414 -755.57154 32 -124454.03 -70.644062 64 -184497.41 -117.36135 128 -251690.68 -7.3680079 256 -117923.94 -13.407028 512 -206312.47 31.613133 1024 -213457.53 74.941914 2048 -272728.31 131.66980 4096 -246718.78 173.50166 8192 -240054.65 178.45867 16384 -293327.45 144.01461 32768 -326207.58 206.20404 65536 -304006.34 221.74028 131072 -313583.38 231.35774 262144 -305065.69 242.27776 524288 -321105.68 279.42886 1048576 -322752.22 299.95067 virasoro: [-29.0, +21.0] 16 -5.0955358 12.389102 32 -9.3289073 10.020152 64 -7.5594879 14.226507 128 -11.847920 16.425009 256 -11.171451 16.602328 512 -14.359431 16.911366 1024 -14.552450 17.375681 2048 -15.727895 18.570218 4096 -18.106397 19.247367 8192 -16.228080 19.663580 16384 -17.441060 19.832349 32768 -16.993062 19.933452 65536 -20.410023 19.787562 131072 -19.944185 20.221083 262144 -21.629849 20.425870 524288 -20.975224 20.316742 1048576 -21.552335 20.548919 wright: [-30.25, 40.0 ] 16 -10.817691 -8.3255698 32 -10.899346 -8.7011440 64 -11.404511 -8.4697314 128 -11.567559 -7.6674167 256 -11.257783 -8.0654057 512 -11.502241 -8.1931694 1024 -11.638623 -7.9919771 2048 -11.644806 -7.7427484 4096 -11.780178 -7.7074929 8192 -11.886952 -7.6847220 16384 -11.982057 -7.5578121 32768 -12.061406 -7.5281008 65536 -12.173807 -7.4647914 131072 -12.154070 -7.5837463 262144 -12.081968 -7.4965955 524288 -12.080955 -7.4602386 1048576 -12.165411 -7.4831172 zakharov: [ 0, ? ]: 16 307.25725 7805013.8 32 509.67237 3601280.2 64 28.847531 12197333. 128 25.392643 10302062. 256 40.421319 12283122. 512 15.046792 12467983. 1024 16.192156 15759352. 2048 2.5501975 17513518. 4096 10.208001 16560274. 8192 7.4469137 18107393. 16384 5.9848339 23794094. 32768 1.3381126 21106129. 65536 2.3640844 22008999. 131072 2.9590388 24757715. 262144 1.1306316 25242080. 524288 1.0241122 24810620. 1048576 1.5352570 27185777. POLYNOMIALS_TEST Normal end of execution. 8 December 2016 10:44:14.517 AM