14 September 2021 7:36:09.213 PM 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 -0.79984260 0.15476773 32 -1.1191173 0.11878742 64 -1.0500891 0.11157142 128 -1.1000919 0.13768045 256 -1.2559960 0.10537109 512 -1.2394523 0.19237180 1024 -1.3258907 0.18518796 2048 -1.3029674 0.19738491 4096 -1.3372050 0.19965135 8192 -1.3624322 0.19000579 16384 -1.3514839 0.20973142 32768 -1.3526565 0.20462755 65536 -1.3794910 0.21235443 131072 -1.3854620 0.21014097 262144 -1.3914080 0.21684185 524288 -1.3957422 0.21471425 1048576 -1.3907876 0.21776057 camel: [ -1.031628453489616, ? ]: 16 2.0855922 275.81692 32 1.0303540 289.08453 64 -0.18450289 304.86175 128 -0.55516630 376.15927 256 -0.93799096 363.17838 512 -0.91218238 359.89688 1024 -1.0186637 339.85688 2048 -1.0223672 381.32937 4096 -1.0048451 379.27901 8192 -1.0158157 382.30471 16384 -1.0312272 394.80376 32768 -1.0315231 397.91073 65536 -1.0315143 397.52635 131072 -1.0314751 399.41517 262144 -1.0314632 400.98052 524288 -1.0315913 402.56631 1048576 -1.0315353 404.92714 camera: [-270397.4, +270202.6] 16 -67778.042 85099.931 32 -75474.563 63518.502 64 -122520.90 107552.26 128 -142427.34 115699.97 256 -178312.85 116864.53 512 -145330.46 129136.78 1024 -139877.59 205105.80 2048 -155542.14 178929.39 4096 -181230.80 166997.65 8192 -185999.22 184088.47 16384 -189980.06 179951.10 32768 -200290.05 196214.02 65536 -209255.31 207215.03 131072 -232126.11 227022.91 262144 -222598.83 215380.77 524288 -229370.55 226552.62 1048576 -244064.22 228062.14 caprasse: [-3.1800966258, +4.4852773332] 16 -1.1675951 3.0497002 32 -1.0803474 3.2817860 64 -2.2378614 3.6601291 128 -1.9555559 3.8612661 256 -2.5190072 3.8880772 512 -2.6817190 3.8106030 1024 -2.7174959 3.8314659 2048 -2.6769208 4.0159827 4096 -2.6871855 4.0767049 8192 -2.7611533 4.2886983 16384 -3.0494281 4.3148925 32768 -2.9044133 4.2662172 65536 -3.1264466 4.3883575 131072 -3.0102333 4.3187391 262144 -3.0434776 4.3983548 524288 -3.1560555 4.4121826 1048576 -3.0436813 4.4261118 cyclic5: [-30000, +50000] 16 -8394.8362 2136.5533 32 -7481.8783 4159.3775 64 -19730.215 5870.3419 128 -8771.5772 25088.214 256 -7771.3135 9264.2647 512 -14546.042 12226.846 1024 -15890.543 18157.693 2048 -15408.571 22140.841 4096 -20703.444 25817.912 8192 -21717.693 20807.757 16384 -19879.925 21568.274 32768 -26328.545 28187.248 65536 -23515.754 31857.051 131072 -25927.676 31813.006 262144 -24572.815 37263.581 524288 -25338.554 38654.236 1048576 -26244.139 37524.419 cyclic7: [-5.0, +7.0] 16 -0.76932749E-01 0.25540260 32 -0.18567504 0.11187311 64 -0.13513792 0.52094568 128 -0.36702722 0.48565044 256 -1.0190211 0.41708967 512 -0.47240178 0.66675839 1024 -0.85155956 1.1635550 2048 -0.93971737 0.96156289 4096 -1.6548624 1.6861147 8192 -1.5024072 1.3168173 16384 -1.8455652 1.6295707 32768 -2.2798061 2.2754600 65536 -2.4170776 1.5464898 131072 -2.3116968 2.6454718 262144 -2.6227689 2.8532950 524288 -3.4220049 2.8230790 1048576 -3.5527294 3.4421986 cyclic8: [-8.0, +8.0] 16 -0.18871393E-01 0.14406027 32 -0.20461182 0.61061405E-01 64 -0.20682015 0.17431933 128 -0.31303005 0.11428404 256 -0.33934828 0.51031090 512 -0.30698944 0.69197938 1024 -0.28422532 0.78526832 2048 -1.0915174 0.57535201 4096 -0.60955272 0.78342178 8192 -0.75495816 0.81471278 16384 -2.8446930 1.1879482 32768 -1.0929717 1.1038230 65536 -1.9668808 1.9420829 131072 -1.6950352 1.7679687 262144 -1.4498057 1.9225259 524288 -2.1472834 2.2475309 1048576 -2.6273099 2.9397789 goldstein_price: [ 3, ? ]: 16 4.4750275 227529.18 32 60.210100 188875.98 64 43.868017 502894.92 128 10.608497 468452.11 256 25.871391 839032.48 512 3.9223493 765459.83 1024 7.3280824 957127.13 2048 3.5611588 989776.88 4096 3.1266006 987887.36 8192 3.1565224 1010112.2 16384 3.1039095 1005193.7 32768 3.0941823 1012409.5 65536 3.0317652 1015132.5 131072 3.0110693 1013487.7 262144 3.0044537 1009045.3 524288 3.0195147 1014241.0 1048576 3.0002881 1015537.9 hairer: [-1875.25, -48.25] 16 -832.85035 -215.05931 32 -1060.6272 -164.49645 64 -1061.7374 -144.90066 128 -1096.8913 -140.03759 256 -1166.6856 -122.21937 512 -1229.7146 -92.005241 1024 -1344.4502 -111.65295 2048 -1416.2729 -84.052867 4096 -1428.9647 -85.913727 8192 -1427.9448 -82.342341 16384 -1493.5615 -70.086348 32768 -1566.3059 -73.117208 65536 -1657.3083 -70.454406 131072 -1572.2076 -68.011311 262144 -1633.3059 -65.418964 524288 -1679.0444 -65.905489 1048576 -1678.0023 -61.924454 heart: [-1.36775, +1.74345327935 16 0.16243372 1.1496987 32 0.33158948 1.2177045 64 0.62471751E-02 1.1565889 128 -0.24434516 1.2972247 256 -0.23289781 1.3964272 512 -0.24079505 1.4668788 1024 -0.27692407 1.5367226 2048 -0.63231953 1.4466962 4096 -0.51594593 1.4671259 8192 -0.67122849 1.5551730 16384 -0.88173695 1.6284367 32768 -0.93447479 1.5809299 65536 -0.78300072 1.6601021 131072 -0.86705096 1.6509364 262144 -0.94723590 1.6651648 524288 -0.91392968 1.6472525 1048576 -0.89393160 1.6885008 himmelblau: [ 0, ? ]: 16 24.004704 395.04349 32 2.7343279 461.71367 64 0.81755210 456.01021 128 2.4741223 564.91819 256 0.43605764 718.05241 512 0.14023551 856.89063 1024 0.79080075E-01 820.44391 2048 0.17339679 760.60402 4096 0.14336546E-01 858.75256 8192 0.15012474E-01 796.69236 16384 0.30797435E-01 855.25578 32768 0.25803856E-02 870.60946 65536 0.25844581E-02 877.20548 131072 0.99563275E-03 887.55519 262144 0.82571550E-03 885.49842 524288 0.88096668E-04 880.52563 1048576 0.60975153E-03 886.65645 hunecke: [-1436.515078155, +161.120543283] 16 -841.93392 0.74862612 32 -1156.9856 22.780635 64 -1190.5114 13.366081 128 -1196.9395 23.784924 256 -1140.7411 51.970322 512 -1200.5807 106.38370 1024 -1298.6421 59.139593 2048 -1265.9168 130.92815 4096 -1273.6216 78.297688 8192 -1264.7750 108.05504 16384 -1296.1508 92.007089 32768 -1312.3706 106.52518 65536 -1335.7635 114.75196 131072 -1369.8789 128.23478 262144 -1377.4794 138.42279 524288 -1381.5311 138.43510 1048576 -1396.8325 144.93891 kearfott: [ 0, ? ]: 16 2.2544910 70.543761 32 2.0426617 92.040061 64 0.47237322 101.39438 128 1.4588778 113.93771 256 0.33368613 120.29719 512 0.22453748 132.19855 1024 0.31904019 140.24648 2048 0.16176728 158.06716 4096 0.65540559E-01 128.91474 8192 0.11926313 136.14491 16384 0.46059306E-01 155.72887 32768 0.76760232E-01 188.23760 65536 0.90339475E-02 180.08103 131072 0.92475644E-02 182.69735 262144 0.75681610E-02 179.10798 524288 0.13753118E-01 189.49481 1048576 0.18693528E-02 196.05127 lv3: [-9.35, +14.8 ] 16 -2.1251830 4.0275467 32 -3.1441522 3.6251099 64 -3.8197630 5.0167651 128 -4.7778092 6.7691415 256 -5.6659277 7.7853844 512 -6.9191276 7.7542598 1024 -7.6857673 7.1333110 2048 -8.3691096 7.9084016 4096 -7.9110831 7.6795194 8192 -8.7275384 8.3272205 16384 -8.6571600 8.3132562 32768 -8.9573488 8.2357338 65536 -8.7802397 8.3357045 131072 -9.0126710 8.5280546 262144 -9.0262024 8.4146155 524288 -8.9425640 8.5618484 1048576 -9.0806415 8.5564405 lv4: [-20.8, +22.8] 16 -4.0562085 7.1995616 32 -10.063233 6.4133448 64 -7.2407915 6.8846228 128 -5.8780104 10.783383 256 -9.8135837 10.903340 512 -8.9308656 8.1292037 1024 -7.9673183 9.8727100 2048 -9.0755660 11.321424 4096 -9.9503590 11.238916 8192 -9.5305051 11.594040 16384 -10.400053 12.658806 32768 -11.128012 13.578965 65536 -11.261900 13.595142 131072 -12.098331 14.226927 262144 -11.552501 13.609666 524288 -11.743702 14.105550 1048576 -12.423951 14.542575 magnetism6: [-0.25, +280.0] 16 31.018254 139.46501 32 26.155791 156.68334 64 14.191271 158.23799 128 13.137857 186.30299 256 19.662319 188.37739 512 14.218325 188.32913 1024 14.070159 214.52008 2048 4.2518441 230.56899 4096 7.6362936 219.82499 8192 3.4413087 214.76590 16384 4.2753865 232.43538 32768 1.8040673 239.56545 65536 1.3550266 242.19675 131072 0.98282585 246.03550 262144 0.61471355 244.92116 524288 0.53092253 248.53840 1048576 0.38372082 262.54333 magnetism7: [-0.25, +330.0] 16 1.9804830 6.7871319 32 1.0183662 6.8612513 64 0.94250450 8.3776546 128 0.86819183 8.1973798 256 0.64952185 8.4555566 512 0.69050680 9.8810275 1024 0.75887492 9.4086458 2048 0.19869916 9.6739065 4096 -0.27764944E-01 10.395349 8192 0.26639741E-01 11.006197 16384 -0.22794038E-01 11.701788 32768 -0.60083386E-01 11.069170 65536 -0.14516612 12.651204 131072 -0.16838624 11.806584 262144 -0.17057074 11.740189 524288 -0.15028268 12.024753 1048576 -0.14694171 12.646915 quadratic: [ -2, ? ]: 16 17530.337 41595.252 32 10271.312 43030.792 64 7955.3555 52762.948 128 9522.3386 45618.160 256 5344.5236 49510.277 512 7886.5897 51512.547 1024 4559.6711 55804.000 2048 3618.4184 54789.688 4096 1712.2881 58333.095 8192 2273.2372 62759.828 16384 2864.9049 62930.304 32768 2370.7261 63679.194 65536 1899.2328 64589.582 131072 913.11507 64933.327 262144 1059.2746 66963.629 524288 527.56695 65192.695 1048576 811.31657 68657.583 rd: [-36.71269068, +10.40560403] 16 -23.188944 8.0901245 32 -26.300576 6.6176390 64 -29.027487 8.8620278 128 -33.013268 7.9590617 256 -29.495870 8.4891493 512 -31.512224 8.2602968 1024 -34.223038 9.0941046 2048 -34.893128 9.0525656 4096 -35.026905 9.3753107 8192 -35.737592 10.235014 16384 -35.374685 9.9309842 32768 -35.825670 10.175987 65536 -35.948693 10.064204 131072 -36.107171 10.223511 262144 -35.974351 10.274633 524288 -36.295787 10.317884 1048576 -36.248560 10.303774 reimer5: [-5.0, +5.0] 16 -3.0555419 0.65216943 32 -3.3641058 0.80653254 64 -3.5760925 0.98115224 128 -4.1807113 2.7934932 256 -3.6702785 2.5514945 512 -3.8082750 3.3593519 1024 -4.2056524 3.3760877 2048 -4.5938134 3.4595552 4096 -4.6469543 3.5589082 8192 -4.7252565 4.0077852 16384 -4.6440710 3.8997747 32768 -4.6469203 4.4404014 65536 -4.8719396 4.4962757 131072 -4.9458147 4.9022747 262144 -4.9757756 4.5263151 524288 -4.9434038 4.6430227 1048576 -4.9484702 4.7949236 reimer6: [-937501, +937499] 16 -149284.49 329735.58 32 -207452.32 213382.10 64 -218242.57 224965.77 128 -245435.72 348028.50 256 -308779.71 283468.30 512 -264670.90 380397.62 1024 -422786.86 338983.61 2048 -322306.29 353249.59 4096 -418568.98 463042.10 8192 -494279.42 523564.47 16384 -433535.59 459481.20 32768 -469620.47 481362.97 65536 -627479.33 475733.50 131072 -613279.40 532881.07 262144 -560932.66 499714.24 524288 -575317.28 568349.40 1048576 -572207.42 612396.11 rosenbrock: [ 0, ? ]: 16 3290.2221 27483.997 32 463.22374 22160.138 64 66.146580 41488.453 128 293.91430 41714.187 256 241.15276 42484.724 512 103.10923 53008.905 1024 120.56703 53481.226 2048 100.74660 51969.152 4096 19.269253 52428.234 8192 57.870893 57017.419 16384 36.322924 57418.521 32768 12.905561 61258.141 65536 10.418023 62044.520 131072 3.8018317 64190.105 262144 5.5845302 61019.963 524288 3.3756494 64004.323 1048576 8.3911740 64114.404 schwefel: [ 0, ? ]: 16 200.76534 9000.0333 32 29.525451 12741.433 64 9.8793999 16738.826 128 1.8757635 19091.700 256 10.584966 18420.552 512 6.8700338 20677.512 1024 4.4208973 19179.210 2048 2.5692629 21159.449 4096 0.69237384 22488.243 8192 0.87407111 21587.803 16384 0.15961695 23690.134 32768 0.34738544 22398.416 65536 0.40663145 23695.940 131072 0.17112313 23710.588 262144 0.14714425E-01 23557.964 524288 0.21423235E-01 24151.153 1048576 0.72163383E-02 24165.910 smith1: [ ?, ? ]: 16 16815.968 170196.36 32 13416.892 237975.06 64 10428.087 287552.91 128 9544.9979 325124.06 256 351.31013 304576.71 512 2022.7661 381231.03 1024 4061.7229 370353.35 2048 1037.6952 399095.83 4096 4568.5729 409480.29 8192 -835.27897 474876.03 16384 -835.27268 426572.70 32768 -347.34122 454108.56 65536 -89.177013 462390.38 131072 -920.62993 468384.93 262144 -1139.0519 455498.39 524288 -1666.4586 482563.18 1048576 -2225.1038 484005.02 smith2: [ ?, ? ]: 16 -122342.49 -85.320292 32 -83277.844 -97.046372 64 -151724.03 -34.565822 128 -167087.65 -68.348531 256 -165864.87 6.6699418 512 -179044.58 218.27075 1024 -177946.05 141.10496 2048 -243903.03 122.70375 4096 -250073.05 147.33045 8192 -262447.21 126.80493 16384 -272619.37 202.82750 32768 -276533.31 185.12456 65536 -293984.21 241.53029 131072 -291173.75 258.53042 262144 -316164.92 238.35604 524288 -312038.74 311.57878 1048576 -322964.36 275.26816 virasoro: [-29.0, +21.0] 16 -7.8427378 13.164643 32 -8.7742042 11.633444 64 -12.027261 12.365768 128 -8.1697125 15.198945 256 -13.129856 17.834615 512 -9.5276011 17.374098 1024 -13.897833 18.617937 2048 -13.106766 17.583045 4096 -13.449332 18.679763 8192 -17.829762 20.160329 16384 -17.527272 19.970907 32768 -18.091645 19.834910 65536 -18.492166 19.921651 131072 -19.621455 20.404253 262144 -21.252892 20.305623 524288 -20.967649 20.509404 1048576 -21.490753 20.468396 wright: [-30.25, 40.0 ] 16 -10.807659 -9.0103890 32 -11.057200 -8.9922583 64 -11.447390 -8.3709995 128 -10.906022 -8.4422938 256 -11.646652 -8.0655181 512 -11.599676 -7.8430791 1024 -11.847836 -7.5521012 2048 -11.776180 -7.8472824 4096 -11.899029 -7.8673229 8192 -11.917728 -7.7957243 16384 -12.018559 -7.6329628 32768 -12.002366 -7.5898863 65536 -12.095632 -7.5049045 131072 -12.107273 -7.4464124 262144 -12.139895 -7.4804571 524288 -12.130544 -7.4695792 1048576 -12.114777 -7.3065026 zakharov: [ 0, ? ]: 16 118.45325 2775936.6 32 104.41456 5946080.8 64 31.641251 5571789.3 128 43.953953 9859232.3 256 28.195568 14355486. 512 18.831243 18553024. 1024 25.749245 18056501. 2048 17.019093 14572673. 4096 4.3321133 22657666. 8192 4.1274979 22371070. 16384 3.7440340 20226313. 32768 2.5515938 24162353. 65536 1.1252247 21858548. 131072 1.3776892 24602720. 262144 1.5646591 23278473. 524288 0.62244418 25872338. 1048576 0.45261904 26656498. POLYNOMIALS_TEST Normal end of execution. 14 September 2021 7:36:16.357 PM