25-Apr-2023 08:43:55 polynomials_test(): MATLAB/Octave version 5.2.0 Test polynomials(). 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 -0.9702148192 -0.002416191923 32 -1.024949887 0.1588110954 64 -1.200527711 0.1171880324 128 -1.109182291 0.164029248 256 -1.238146621 0.1676922763 512 -1.307090405 0.1872764567 1024 -1.304382032 0.1830351356 2048 -1.276765718 0.1971141706 4096 -1.273187492 0.2094531593 8192 -1.374450389 0.2078419028 16384 -1.323198416 0.2155321231 32768 -1.405285794 0.210943177 65536 -1.35978792 0.2160992749 131072 -1.369482076 0.2112390953 262144 -1.396260194 0.2123383459 524288 -1.397007988 0.2158347317 1048576 -1.399861147 0.2162117416 camel: [ -1.031628453489616, ? ]: 16 -0.8185259473 269.0339361 32 -0.6602936011 329.079515 64 -0.7811293827 250.9776796 128 -0.8963848961 302.3787438 256 -0.9458263697 395.8023389 512 -1.027351072 372.6134308 1024 -1.017755415 341.5960705 2048 -1.025938974 375.3024872 4096 -1.021616012 374.948695 8192 -1.030138881 397.0482986 16384 -1.0289121 400.7410066 32768 -1.031309758 393.2055418 65536 -1.030313722 399.9001044 131072 -1.031574399 402.7413775 262144 -1.031393748 401.1687039 524288 -1.031595973 402.8219197 1048576 -1.031594165 402.3831342 camera: [-270397.4, +270202.6] 16 -105655.6265 50062.09397 32 -88529.86289 87039.93398 64 -121510.288 139338.6387 128 -145244.8189 105640.8385 256 -128504.832 116406.9885 512 -148620.4414 166991.3888 1024 -194967.343 126859.8619 2048 -156227.7144 172836.4582 4096 -161683.2841 171431.5345 8192 -193566.1878 178222.4259 16384 -191247.7497 202871.0232 32768 -199430.6582 200458.3121 65536 -209710.2933 215547.1932 131072 -231619.7468 253334.9683 262144 -239302.0793 223420.0408 524288 -229461.2702 235860.1809 1048576 -225670.3931 225493.8383 caprasse: [-3.1800966258, +4.4852773332] 16 -1.745052863 2.782191891 32 -1.556675223 3.442055238 64 -2.523880354 3.648764329 128 -1.448046702 3.946376662 256 -2.524280107 3.97803077 512 -2.267203146 4.045613289 1024 -2.153125101 3.79800442 2048 -2.413253161 4.079304245 4096 -2.857893114 4.303099954 8192 -2.776487678 4.275902625 16384 -2.838532337 4.386366307 32768 -2.997314408 4.261024034 65536 -2.903283876 4.388443956 131072 -3.142396856 4.319575887 262144 -3.07599662 4.331112193 524288 -3.053107911 4.475981364 1048576 -3.038608899 4.436557462 cyclic5: [-30000, +50000] 16 -13657.14684 5842.119113 32 -7203.527827 6639.18028 64 -10323.63169 6441.966499 128 -12664.52507 6489.209015 256 -9004.510176 14899.6004 512 -11317.40014 12311.55702 1024 -12813.77955 30324.22475 2048 -20737.23879 28608.61507 4096 -21197.53689 18757.42997 8192 -20818.99663 24125.65388 16384 -22137.81493 33536.68436 32768 -19996.12429 38859.00015 65536 -23229.6718 29310.02253 131072 -22754.60562 35428.10778 262144 -23332.5876 36779.97006 524288 -24049.66524 39924.5605 1048576 -26389.86374 39834.88062 cyclic7: [-5.0, +7.0] 16 -0.2133567232 0.1046983273 32 -0.09591529281 0.1805043178 64 -0.722582578 0.5016002349 128 -0.4373744209 0.3754629385 256 -0.6729333069 0.2375430559 512 -0.6050073688 0.4556191916 1024 -0.5082227361 1.21254624 2048 -0.9344110933 1.035605771 4096 -1.03032794 1.612224663 8192 -1.523470223 1.270819892 16384 -2.140067638 1.438402851 32768 -1.834825784 1.607317243 65536 -1.729751924 1.802578738 131072 -2.272726804 2.298341912 262144 -3.352251326 2.742383317 524288 -2.504775458 2.800698003 1048576 -2.448281611 3.526122258 cyclic8: [-8.0, +8.0] 16 -0.09142346391 0.1684623109 32 -0.09868707512 0.05908902172 64 -0.3358435528 0.1482400774 128 -0.1773017198 0.3036190498 256 -0.2268711964 0.4684647841 512 -0.6478985249 0.6277404366 1024 -0.6310047588 0.6232345006 2048 -0.5987874477 0.9122949188 4096 -0.7732890075 0.5973358597 8192 -1.830802085 0.8257060004 16384 -1.040029505 1.446766366 32768 -1.470478357 0.9843231484 65536 -1.981682755 1.575488666 131072 -2.394606717 1.852223882 262144 -2.171135306 2.177099327 524288 -1.790110808 2.224139237 1048576 -3.074601041 2.776318057 goldstein_price: [ 3, ? ]: 16 69.48572632 116605.5826 32 496.0890577 707425.9594 64 8.921001648 638973.8483 128 31.39124295 871059.0042 256 3.326343415 913591.6507 512 5.758825889 1010545.552 1024 3.438065745 935017.5662 2048 4.828614028 956520.6309 4096 3.070910419 984177.1843 8192 3.280374451 1002455.027 16384 3.007252546 1008763.741 32768 3.068416437 988793.1316 65536 3.000274112 1012349.772 131072 3.001006457 1015040.65 262144 3.000786147 1014145.25 524288 3.001122373 1013979.431 1048576 3.002656945 1015252.158 hairer: [-1875.25, -48.25] 16 -744.9961192 -251.3229758 32 -1008.245559 -181.3833797 64 -1190.123408 -116.0315836 128 -1090.455485 -83.62758139 256 -1059.77434 -104.9282948 512 -1349.358682 -100.3949382 1024 -1327.463819 -89.91122945 2048 -1397.166294 -91.31164696 4096 -1562.866011 -81.49143446 8192 -1570.586882 -71.17303938 16384 -1600.567379 -79.34928308 32768 -1707.020505 -65.96604991 65536 -1586.760274 -73.66102911 131072 -1581.639453 -67.80674862 262144 -1630.290989 -67.24215743 524288 -1690.168245 -68.50755567 1048576 -1699.457485 -60.70503175 heart: [-1.36775, +1.74345327935 16 0.217872314 1.092211652 32 0.1882802019 1.177080019 64 -0.03484684183 1.231815041 128 0.006922848249 1.391881858 256 -0.2874222957 1.233823635 512 -0.4947233699 1.463283623 1024 -0.2373029759 1.489909337 2048 -0.5844144753 1.474273808 4096 -0.5244054947 1.607561988 8192 -0.6167964612 1.602063502 16384 -0.5967972963 1.62586097 32768 -0.7473745115 1.611099676 65536 -0.8018662163 1.610417924 131072 -0.8248413359 1.630206434 262144 -0.8214863216 1.648948168 524288 -0.9307043159 1.667690082 1048576 -0.9534896668 1.675701999 himmelblau: [ 0, ? ]: 16 27.98757845 363.1953059 32 0.8722203429 538.4978081 64 6.565787448 519.3283286 128 0.9473262145 454.2570548 256 0.8643629516 837.3970573 512 0.310264656 609.7607599 1024 0.0174842874 774.8783635 2048 0.03922454458 642.2890878 4096 0.009936047977 863.5850589 8192 0.001574729546 822.3389733 16384 0.02427630223 774.3142889 32768 0.0001861420111 833.5664647 65536 0.002949746605 873.6811755 131072 0.00386042037 878.150024 262144 0.0006158318082 878.0523199 524288 0.0003639519689 884.7859319 1048576 0.0001076161386 887.5864292 hunecke: [-1436.515078155, +161.120543283] 16 -1059.26945 -125.7301474 32 -1031.278899 -44.52435867 64 -1021.196976 -8.888150626 128 -1163.193907 13.8266659 256 -1152.685165 51.4209123 512 -1181.79977 4.483157248 1024 -1234.442431 41.13055181 2048 -1206.105737 87.97448997 4096 -1280.443908 92.87403794 8192 -1272.819612 83.01477415 16384 -1328.479561 117.4139446 32768 -1306.469129 115.6089132 65536 -1330.126351 107.5723076 131072 -1358.871416 118.9802224 262144 -1378.704368 139.0619763 524288 -1366.247848 146.4789643 1048576 -1381.631328 145.2863664 kearfott: [ 0, ? ]: 16 2.744650209 114.2299041 32 0.7028196725 79.90546008 64 1.27467516 105.6138546 128 0.3882194468 106.2621997 256 0.3023162239 133.1427318 512 0.2394625078 149.6554338 1024 0.09292653616 137.4877211 2048 0.4677228022 133.0566786 4096 0.06879171701 192.3203656 8192 0.1003831096 161.1089009 16384 0.04994540373 153.6884546 32768 0.03443450207 173.4675289 65536 0.02863150846 181.5310673 131072 0.02326871333 173.6029777 262144 0.01726785986 186.5085423 524288 0.004136540912 187.9880624 1048576 0.0103473247 191.700658 lv3: [-9.35, +14.8 ] 16 -2.520293758 2.897658229 32 -6.840961908 3.904254147 64 -4.696935206 5.340470643 128 -3.678998196 7.24600975 256 -5.516602987 7.751159378 512 -7.52720217 7.69842783 1024 -7.906743109 7.694623424 2048 -8.602343913 7.658818295 4096 -8.711765516 7.968329502 8192 -8.643368129 8.27301368 16384 -8.809832763 8.207212101 32768 -8.998831118 8.399778759 65536 -8.890220798 8.333620517 131072 -9.046090489 8.526428074 262144 -9.025302488 8.449425245 524288 -9.095255177 8.492193483 1048576 -9.083741937 8.501952077 lv4: [-20.8, +22.8] 16 -4.079598731 5.705143446 32 -2.295212739 6.291643397 64 -5.375137898 6.799171807 128 -5.934957544 5.95351117 256 -9.259947589 8.560432931 512 -6.686957849 10.22827589 1024 -9.465108864 9.738091208 2048 -10.45761185 11.89217416 4096 -9.153670817 13.42939834 8192 -10.25652762 12.59848432 16384 -11.2047496 12.52491047 32768 -10.61584996 12.7836263 65536 -10.87864104 13.26163484 131072 -11.50940719 14.02202346 262144 -11.69994334 14.19395731 524288 -12.09037587 14.30160972 1048576 -12.31412375 14.22037729 magnetism6: [-0.25, +280.0] 16 9.11239903 178.0267359 32 24.86711101 148.9883232 64 7.764503421 175.7043306 128 19.96312274 199.7237734 256 15.06075855 192.6634109 512 12.28359129 196.2138303 1024 7.419561828 218.7848057 2048 5.168848206 210.459556 4096 5.554124266 217.0934894 8192 4.206545826 227.9868392 16384 5.489085369 226.3883836 32768 1.951842131 236.1866648 65536 3.756308834 237.0032799 131072 1.812519735 253.8335873 262144 1.42118433 240.3410083 524288 0.8482049108 250.3587164 1048576 0.1587296723 256.79147 magnetism7: [-0.25, +330.0] 16 2.51178753 6.4310107 32 2.680862652 6.665030113 64 1.050078592 7.682508876 128 0.9399691624 7.99904838 256 0.4759928154 8.159430465 512 0.5534901775 9.978695631 1024 0.2963964278 10.80420049 2048 0.3035997657 10.80675561 4096 0.336188732 11.47147615 8192 0.1839133578 10.32932264 16384 0.06261162577 10.87954814 32768 -0.0461096941 11.20586172 65536 -0.04775386672 11.6640083 131072 -0.1114818251 11.18618894 262144 -0.191791752 12.41049207 524288 -0.1442563777 12.38936887 1048576 -0.1544407948 11.78760113 quadratic: [ -2, ? ]: 16 8107.296765 39117.30452 32 11986.36479 49686.66629 64 12791.67216 46278.2535 128 6445.946099 59478.81069 256 6957.142585 47984.2501 512 7278.25028 53762.21346 1024 5066.696251 54061.804 2048 4453.112124 56476.61778 4096 2643.396996 60490.45945 8192 2531.833929 58831.12311 16384 2383.42966 60924.41064 32768 2009.330284 63614.72936 65536 1670.50397 64073.45317 131072 1879.151417 62724.95773 262144 1558.517221 63478.60919 524288 446.5391031 68200.00561 1048576 745.4480215 67307.97653 rd: [-36.71269068, +10.40560403] 16 -25.58721782 5.071509716 32 -25.8994618 4.809169493 64 -30.63633251 6.18437964 128 -34.75723456 7.419425498 256 -31.97350029 9.35571166 512 -34.96221949 9.379624943 1024 -34.74757748 8.412249864 2048 -34.95671941 9.655649958 4096 -33.9435196 9.187536987 8192 -35.39522382 9.796167212 16384 -35.62369691 10.18284423 32768 -35.81733003 10.10183272 65536 -36.27322025 10.2095681 131072 -36.07805173 10.36860815 262144 -36.50275236 10.28704348 524288 -36.34135239 10.34080722 1048576 -36.50202857 10.29917818 reimer5: [-5.0, +5.0] 16 -2.705812033 1.213454265 32 -3.544517119 0.6061039295 64 -3.354695422 2.278476202 128 -2.904572906 2.664525942 256 -3.755385669 2.66136307 512 -3.526482785 3.08986443 1024 -4.408459289 3.030484593 2048 -4.437984386 3.358952438 4096 -4.433037016 3.095276042 8192 -4.681274012 3.921217022 16384 -4.704141323 4.507642153 32768 -4.740690392 4.613084181 65536 -4.808221419 4.142047647 131072 -4.811208537 4.292296422 262144 -4.872701777 4.432752452 524288 -4.953861155 4.534660891 1048576 -4.94252256 4.603495405 reimer6: [-937501, +937499] 16 -196778.6935 173569.8439 32 -264708.1665 177235.1259 64 -273916.6782 258825.207 128 -209096.3107 226826.5857 256 -324169.8614 256206.8751 512 -296477.4097 289572.0011 1024 -296457.3371 292601.8461 2048 -414841.4511 384409.5241 4096 -341504.3474 405975.5061 8192 -378254.2077 425435.5023 16384 -491265.1307 528367.8489 32768 -516027.0966 468531.5452 65536 -531275.0439 492591.6826 131072 -551876.0691 495803.8575 262144 -533507.1121 571366.0514 524288 -582263.1138 575030.4691 1048576 -578265.6262 639855.6294 rosenbrock: [ 0, ? ]: 16 1459.229136 22166.71405 32 1075.32279 34725.93366 64 39.11370329 45639.23315 128 406.9641778 49604.6593 256 126.0214283 50141.27227 512 62.09245377 52737.98289 1024 110.6472468 54159.35701 2048 94.40835521 56598.37393 4096 35.71910624 52975.31533 8192 48.02647657 56135.04222 16384 16.11117838 62404.4556 32768 24.35514315 59815.06345 65536 21.20039305 61248.47785 131072 28.98960173 60343.24647 262144 15.8073946 64690.37831 524288 6.000894135 64554.79744 1048576 3.985429322 65522.79706 schwefel: [ 0, ? ]: 16 42.73618426 10019.00492 32 32.45704278 9756.939824 64 10.68546092 19936.91732 128 5.174163705 16485.02298 256 5.091251312 16260.87894 512 5.920416235 21511.65068 1024 2.127040638 20826.95727 2048 2.055691172 18832.11752 4096 0.7109758291 23886.88865 8192 0.3482157529 22785.49154 16384 0.1593954584 22876.71484 32768 0.3433307874 23518.89982 65536 0.01722949344 23368.07872 131072 0.01461626147 23263.76188 262144 0.113824245 23618.42449 524288 0.002860102935 23828.71454 1048576 0.03285367522 24038.49742 smith1: [ ?, ? ]: 16 15107.4603 180875.2194 32 18430.91878 231843.1263 64 19948.04302 233941.6784 128 4058.889861 327719.9319 256 8177.091139 392792.1681 512 8741.25592 327061.164 1024 5570.664685 392767.7907 2048 2573.130896 385255.1087 4096 3794.860412 400281.7022 8192 1566.647378 439838.805 16384 665.2927997 478552.7277 32768 -1646.627829 449077.2 65536 -439.961527 466840.4703 131072 -1527.661746 473756.8457 262144 -1483.326421 468215.5225 524288 -1166.75444 472362.2817 1048576 -1411.043957 491068.4873 smith2: [ ?, ? ]: 16 -33777.66137 -173.7542854 32 -112335.0889 -245.7109926 64 -110020.5592 100.1349621 128 -187830.9762 43.44745177 256 -158563.7006 167.9379548 512 -166999.5033 -18.98390541 1024 -248328.38 75.99915435 2048 -232780.8797 189.3715781 4096 -278156.4986 112.246031 8192 -306265.2432 145.3309396 16384 -288840.3598 278.1245874 32768 -285211.4773 194.4932824 65536 -304975.3574 251.7122803 131072 -304737.4995 231.7065929 262144 -302775.9082 278.6918019 524288 -314369.6339 258.6006369 1048576 -315293.4264 271.7247937 virasoro: [-29.0, +21.0] 16 -6.459881052 10.31839292 32 -8.686852081 13.34690439 64 -5.14774862 14.71357669 128 -14.44988288 16.7017795 256 -12.01511461 14.32125489 512 -11.7423777 18.03785425 1024 -12.06276721 18.85743859 2048 -19.82590703 18.44827183 4096 -17.67481604 19.04757306 8192 -15.65446603 19.33244299 16384 -17.53075875 19.70695797 32768 -17.66742017 19.40369018 65536 -19.93680954 19.88268882 131072 -19.64613372 19.99672027 262144 -21.4178262 20.46287432 524288 -20.42624688 20.383821 1048576 -23.47016367 20.59815287 wright: [-30.25, 40.0 ] 16 -11.13913777 -8.241658613 32 -11.102412 -8.126965266 64 -11.39357657 -8.50754493 128 -11.42700781 -8.09231776 256 -11.7962594 -8.10621934 512 -11.70246477 -7.737950373 1024 -11.83601391 -7.6701677 2048 -11.88668847 -7.759028892 4096 -11.95969519 -7.904846155 8192 -12.01029328 -7.575899434 16384 -11.99427959 -7.605279846 32768 -12.00301308 -7.449525873 65536 -12.02620403 -7.465930741 131072 -12.08042615 -7.399184762 262144 -12.08548445 -7.508606338 524288 -12.1389403 -7.49753242 1048576 -12.1802354 -7.44241023 zakharov: [ 0, ? ]:: 16 87.79138203 1339048.923 32 135.7697851 6399050.056 64 30.36920043 14367410.78 128 13.84531785 12384502.12 256 15.37227724 10592372.42 512 18.4030931 9995721.237 1024 21.78528142 17405984.37 2048 6.88868228 15441853.71 4096 7.871652217 18760958.44 8192 6.364367254 18101581.61 16384 3.504780776 23307739.25 32768 2.571949175 23228083.66 65536 1.794413725 22720069.55 131072 0.9667339609 24807592.76 262144 1.811847474 26465231.34 524288 0.9821677363 26729448.32 1048576 0.8181046433 27429316.95 polynomials_test(): Normal end of execution. 25-Apr-2023 08:44:06