Day 14 - Forward Euler


The Forward Euler method for first order differential equations

$$$$

The Euler method (also called forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value.


In [5]:
import math

The forward Euler method

$\frac{dy}{dx}=f(x,y) \quad y=y_0 \ when \ x=x_0 \quad x_0<x<X$

The forward Euler method calculates the values $y_1, y_2, y_3,... ,y_{N−1}, y_{N}$ using the formula $y_i - y_{i−1} = \frac{f(x_{i-1},\ y_{i-1})}{h} \quad i = 1, 2, 3, . . . , N$

This may be written as the explicit formula $y_i = y_{i-1} + hf(x_{i-1},\ y_{i-1}) \quad i = 1, 2, 3,... , N$

Methods where an explicit expression for $y_i$ may be written down are known as explicit methods.


In [3]:
def forward_euler(f, x0, y0, X, N):
    h = (X - x0) / N
    ys = [y0]
    
    for i in range(1, N + 1):
        ys.append(ys[-1] + h * f((i - 1) * h, ys[-1]))
        
    return ys

Example(s)


In [6]:
print(forward_euler(lambda x, y: y + pow(math.e, x), 0, 1, 1, 4))


[1, 1.5, 2.1960063541719355, 3.1571882603899515, 4.475735329640608]

In [8]:
print(forward_euler(lambda x, y: y + pow(math.e, x), 0, 1, 1, 40)[-1])


5.320403930032723

In [27]:
e_approx = forward_euler(lambda x, y: pow(math.e, x), 0, 1, 1, 1000)

for it, e in enumerate(e_approx):
    print("Iteration:", it, math.e, e, abs(e - math.e))


Iteration: 0 2.718281828459045 1 1.718281828459045
Iteration: 1 2.718281828459045 1.001 1.7172818284590452
Iteration: 2 2.718281828459045 1.0020010005001665 1.7162808279588786
Iteration: 3 2.718281828459045 1.0030030025015004 1.7152788259575447
Iteration: 4 2.718281828459045 1.0040060070060037 1.7142758214530414
Iteration: 5 2.718281828459045 1.005010015016681 1.7132718134423641
Iteration: 6 2.718281828459045 1.0060150275375404 1.7122668009215047
Iteration: 7 2.718281828459045 1.0070210455735944 1.7112607828854507
Iteration: 8 2.718281828459045 1.0080280701308613 1.7102537583281838
Iteration: 9 2.718281828459045 1.0090361022163656 1.7092457262426795
Iteration: 10 2.718281828459045 1.0100451428381394 1.7082366856209057
Iteration: 11 2.718281828459045 1.0110551930052236 1.7072266354538215
Iteration: 12 2.718281828459045 1.0120662537276683 1.7062155747313767
Iteration: 13 2.718281828459045 1.0130783260165344 1.7052035024425107
Iteration: 14 2.718281828459045 1.014091410883894 1.704190417575151
Iteration: 15 2.718281828459045 1.0151055093428325 1.7031763191162126
Iteration: 16 2.718281828459045 1.0161206224074482 1.702161206051597
Iteration: 17 2.718281828459045 1.0171367510928542 1.701145077366191
Iteration: 18 2.718281828459045 1.0181538964151795 1.7001279320438656
Iteration: 19 2.718281828459045 1.0191720593915694 1.6991097690674757
Iteration: 20 2.718281828459045 1.0201912410401868 1.6980905874188583
Iteration: 21 2.718281828459045 1.0212114423802134 1.6970703860788316
Iteration: 22 2.718281828459045 1.022232664431851 1.6960491640271942
Iteration: 23 2.718281828459045 1.0232549082163214 1.6950269202427237
Iteration: 24 2.718281828459045 1.0242781747558687 1.6940036537031764
Iteration: 25 2.718281828459045 1.0253024650737592 1.6929793633852859
Iteration: 26 2.718281828459045 1.0263277801942836 1.6919540482647615
Iteration: 27 2.718281828459045 1.027354121142757 1.690927707316288
Iteration: 28 2.718281828459045 1.0283814889455205 1.6899003395135246
Iteration: 29 2.718281828459045 1.029409884629942 1.688871943829103
Iteration: 30 2.718281828459045 1.030439309224417 1.687842519234628
Iteration: 31 2.718281828459045 1.0314697637583705 1.6868120647006746
Iteration: 32 2.718281828459045 1.032501249262257 1.6857805791967881
Iteration: 33 2.718281828459045 1.0335337667675621 1.684748061691483
Iteration: 34 2.718281828459045 1.0345673173068035 1.6837145111522416
Iteration: 35 2.718281828459045 1.0356019019135316 1.6826799265455135
Iteration: 36 2.718281828459045 1.0366375216223314 1.6816443068367137
Iteration: 37 2.718281828459045 1.0376741774688223 1.6806076509902228
Iteration: 38 2.718281828459045 1.0387118704896605 1.6795699579693846
Iteration: 39 2.718281828459045 1.039750601722539 1.678531226736506
Iteration: 40 2.718281828459045 1.0407903722061893 1.6774914562528558
Iteration: 41 2.718281828459045 1.0418311829803817 1.6764506454786634
Iteration: 42 2.718281828459045 1.0428730350859272 1.6754087933731179
Iteration: 43 2.718281828459045 1.043915929564678 1.674365898894367
Iteration: 44 2.718281828459045 1.0449598674595286 1.6733219609995165
Iteration: 45 2.718281828459045 1.046004849814417 1.672276978644628
Iteration: 46 2.718281828459045 1.0470508776743257 1.6712309507847194
Iteration: 47 2.718281828459045 1.0480979520852827 1.6701838763737624
Iteration: 48 2.718281828459045 1.0491460740943623 1.6691357543646828
Iteration: 49 2.718281828459045 1.0501952447496867 1.6680865837093584
Iteration: 50 2.718281828459045 1.0512454651004268 1.6670363633586183
Iteration: 51 2.718281828459045 1.0522967361968028 1.6659850922622423
Iteration: 52 2.718281828459045 1.053349059090086 1.664932769368959
Iteration: 53 2.718281828459045 1.0544024348325993 1.6638793936264458
Iteration: 54 2.718281828459045 1.0554568644777187 1.6628249639813264
Iteration: 55 2.718281828459045 1.0565123490798738 1.6617694793791713
Iteration: 56 2.718281828459045 1.0575688896945492 1.6607129387644959
Iteration: 57 2.718281828459045 1.0586264873782858 1.6596553410807593
Iteration: 58 2.718281828459045 1.0596851431886813 1.6585966852703637
Iteration: 59 2.718281828459045 1.0607448581843917 1.6575369702746534
Iteration: 60 2.718281828459045 1.0618056334251318 1.6564761950339133
Iteration: 61 2.718281828459045 1.0628674699716771 1.655414358487368
Iteration: 62 2.718281828459045 1.0639303688858643 1.6543514595731807
Iteration: 63 2.718281828459045 1.0649943312305923 1.6532874972284528
Iteration: 64 2.718281828459045 1.0660593580698237 1.6522224703892214
Iteration: 65 2.718281828459045 1.0671254504685852 1.65115637799046
Iteration: 66 2.718281828459045 1.0681926094929695 1.6500892189660756
Iteration: 67 2.718281828459045 1.0692608362101355 1.6490209922489096
Iteration: 68 2.718281828459045 1.07033013168831 1.647951696770735
Iteration: 69 2.718281828459045 1.0714004969967887 1.6468813314622563
Iteration: 70 2.718281828459045 1.0724719332059371 1.645809895253108
Iteration: 71 2.718281828459045 1.0735444413871913 1.6447373870718538
Iteration: 72 2.718281828459045 1.0746180226130597 1.6436638058459854
Iteration: 73 2.718281828459045 1.0756926779571236 1.6425891505019214
Iteration: 74 2.718281828459045 1.0767684084940383 1.6415134199650068
Iteration: 75 2.718281828459045 1.0778452152995346 1.6404366131595105
Iteration: 76 2.718281828459045 1.0789230994504193 1.6393587290086258
Iteration: 77 2.718281828459045 1.0800020620245765 1.6382797664344686
Iteration: 78 2.718281828459045 1.081082104100969 1.637199724358076
Iteration: 79 2.718281828459045 1.082163226759639 1.636118601699406
Iteration: 80 2.718281828459045 1.0832454310817095 1.6350363973773356
Iteration: 81 2.718281828459045 1.0843287181493844 1.6339531103096607
Iteration: 82 2.718281828459045 1.085413089045951 1.632868739413094
Iteration: 83 2.718281828459045 1.0864985448557805 1.6317832836032646
Iteration: 84 2.718281828459045 1.0875850866643286 1.6306967417947165
Iteration: 85 2.718281828459045 1.0886727155581375 1.6296091129009076
Iteration: 86 2.718281828459045 1.089761432624836 1.6285203958342092
Iteration: 87 2.718281828459045 1.090851238953141 1.627430589505904
Iteration: 88 2.718281828459045 1.0919421356328594 1.6263396928261857
Iteration: 89 2.718281828459045 1.0930341237548875 1.6252477047041576
Iteration: 90 2.718281828459045 1.0941272044112138 1.6241546240478313
Iteration: 91 2.718281828459045 1.095221378694919 1.6230604497641261
Iteration: 92 2.718281828459045 1.0963166477001773 1.6219651807588678
Iteration: 93 2.718281828459045 1.097413012522258 1.620868815936787
Iteration: 94 2.718281828459045 1.0985104742575262 1.6197713542015189
Iteration: 95 2.718281828459045 1.0996090340034435 1.6186727944556016
Iteration: 96 2.718281828459045 1.1007086928585696 1.6175731356004754
Iteration: 97 2.718281828459045 1.1018094519225636 1.6164723765364815
Iteration: 98 2.718281828459045 1.1029113122961847 1.6153705161628604
Iteration: 99 2.718281828459045 1.1040142750812931 1.614267553377752
Iteration: 100 2.718281828459045 1.105118341380852 1.613163487078193
Iteration: 101 2.718281828459045 1.1062235122989277 1.6120583161601174
Iteration: 102 2.718281828459045 1.107329788940691 1.610952039518354
Iteration: 103 2.718281828459045 1.108437172412419 1.6098446560466262
Iteration: 104 2.718281828459045 1.1095456638214949 1.6087361646375502
Iteration: 105 2.718281828459045 1.1106552642764105 1.6076265641826346
Iteration: 106 2.718281828459045 1.111765974886766 1.606515853572279
Iteration: 107 2.718281828459045 1.1128777967632726 1.6054040316957725
Iteration: 108 2.718281828459045 1.113990731017752 1.6042910974412932
Iteration: 109 2.718281828459045 1.1151047787631383 1.6031770496959068
Iteration: 110 2.718281828459045 1.1162199411134797 1.6020618873455654
Iteration: 111 2.718281828459045 1.1173362191839384 1.6009456092751067
Iteration: 112 2.718281828459045 1.1184536140907928 1.5998282143682523
Iteration: 113 2.718281828459045 1.1195721269514378 1.5987097015076073
Iteration: 114 2.718281828459045 1.1206917588843863 1.5975900695746588
Iteration: 115 2.718281828459045 1.1218125110092705 1.5964693174497746
Iteration: 116 2.718281828459045 1.1229343844468425 1.5953474440122026
Iteration: 117 2.718281828459045 1.1240573803189757 1.5942244481400694
Iteration: 118 2.718281828459045 1.1251814997486662 1.5931003287103789
Iteration: 119 2.718281828459045 1.1263067438600336 1.5919750845990115
Iteration: 120 2.718281828459045 1.127433113778322 1.590848714680723
Iteration: 121 2.718281828459045 1.1285606106299013 1.5897212178291438
Iteration: 122 2.718281828459045 1.1296892355422687 1.5885925929167763
Iteration: 123 2.718281828459045 1.130818989644049 1.587462838814996
Iteration: 124 2.718281828459045 1.1319498740649965 1.5863319543940486
Iteration: 125 2.718281828459045 1.1330818899359956 1.5851999385230495
Iteration: 126 2.718281828459045 1.1342150383890623 1.5840667900699827
Iteration: 127 2.718281828459045 1.1353493205573453 1.5829325079016998
Iteration: 128 2.718281828459045 1.1364847375751268 1.5817970908839183
Iteration: 129 2.718281828459045 1.1376212905778238 1.5806605378812213
Iteration: 130 2.718281828459045 1.1387589807019896 1.5795228477570555
Iteration: 131 2.718281828459045 1.1398978090853142 1.5783840193737309
Iteration: 132 2.718281828459045 1.1410377768666262 1.5772440515924189
Iteration: 133 2.718281828459045 1.1421788851858934 1.5761029432731517
Iteration: 134 2.718281828459045 1.1433211351842243 1.5749606932748208
Iteration: 135 2.718281828459045 1.144464528003869 1.573817300455176
Iteration: 136 2.718281828459045 1.1456090647882202 1.5726727636708249
Iteration: 137 2.718281828459045 1.146754746681815 1.57152708177723
Iteration: 138 2.718281828459045 1.1479015748303354 1.5703802536287097
Iteration: 139 2.718281828459045 1.1490495503806095 1.5692322780784356
Iteration: 140 2.718281828459045 1.1501986744806132 1.568083153978432
Iteration: 141 2.718281828459045 1.1513489482794703 1.5669328801795748
Iteration: 142 2.718281828459045 1.152500372927455 1.56578145553159
Iteration: 143 2.718281828459045 1.153652949575992 1.5646288788830531
Iteration: 144 2.718281828459045 1.154806679377658 1.5634751490813872
Iteration: 145 2.718281828459045 1.1559615634861828 1.5623202649728622
Iteration: 146 2.718281828459045 1.157117603056451 1.5611642254025941
Iteration: 147 2.718281828459045 1.1582747992445017 1.5600070292145434
Iteration: 148 2.718281828459045 1.1594331532075315 1.5588486752515136
Iteration: 149 2.718281828459045 1.1605926661038946 1.5576891623551505
Iteration: 150 2.718281828459045 1.1617533390931036 1.5565284893659415
Iteration: 151 2.718281828459045 1.1629151733358318 1.5553666551232133
Iteration: 152 2.718281828459045 1.1640781699939136 1.5542036584651315
Iteration: 153 2.718281828459045 1.1652423302303456 1.5530394982286995
Iteration: 154 2.718281828459045 1.1664076552092884 1.5518741732497567
Iteration: 155 2.718281828459045 1.1675741460960667 1.5507076823629784
Iteration: 156 2.718281828459045 1.1687418040571718 1.5495400244018733
Iteration: 157 2.718281828459045 1.1699106302602615 1.5483711981987835
Iteration: 158 2.718281828459045 1.1710806258741624 1.5472012025848827
Iteration: 159 2.718281828459045 1.17225179206887 1.546030036390175
Iteration: 160 2.718281828459045 1.1734241300155508 1.5448576984434943
Iteration: 161 2.718281828459045 1.1745976408865426 1.5436841875725025
Iteration: 162 2.718281828459045 1.1757723258553565 1.5425095026036886
Iteration: 163 2.718281828459045 1.1769481860966775 1.5413336423623676
Iteration: 164 2.718281828459045 1.1781252227863659 1.5401566056726792
Iteration: 165 2.718281828459045 1.1793034371014586 1.5389783913575865
Iteration: 166 2.718281828459045 1.18048283022017 1.5377989982388751
Iteration: 167 2.718281828459045 1.1816634033218933 1.5366184251371517
Iteration: 168 2.718281828459045 1.1828451575872017 1.5354366708718434
Iteration: 169 2.718281828459045 1.1840280941978494 1.5342537342611957
Iteration: 170 2.718281828459045 1.1852122143367734 1.5330696141222717
Iteration: 171 2.718281828459045 1.1863975191880938 1.5318843092709513
Iteration: 172 2.718281828459045 1.1875840099371155 1.5306978185219295
Iteration: 173 2.718281828459045 1.1887716877703294 1.5295101406887157
Iteration: 174 2.718281828459045 1.1899605538754134 1.5283212745836317
Iteration: 175 2.718281828459045 1.1911506094412339 1.5271312190178112
Iteration: 176 2.718281828459045 1.1923418556578462 1.5259399728011989
Iteration: 177 2.718281828459045 1.193534293716497 1.524747534742548
Iteration: 178 2.718281828459045 1.194727924809624 1.523553903649421
Iteration: 179 2.718281828459045 1.195922750130859 1.5223590783281862
Iteration: 180 2.718281828459045 1.1971187708750268 1.5211630575840183
Iteration: 181 2.718281828459045 1.1983159882381487 1.5199658402208964
Iteration: 182 2.718281828459045 1.1995144034174419 1.5187674250416032
Iteration: 183 2.718281828459045 1.2007140176113218 1.5175678108477233
Iteration: 184 2.718281828459045 1.2019148320194026 1.5163669964396425
Iteration: 185 2.718281828459045 1.203116847842499 1.5151649806165461
Iteration: 186 2.718281828459045 1.2043200662826266 1.5139617621764185
Iteration: 187 2.718281828459045 1.205524488543004 1.512757339916041
Iteration: 188 2.718281828459045 1.2067301158280541 1.511551712630991
Iteration: 189 2.718281828459045 1.2079369493434038 1.5103448791156413
Iteration: 190 2.718281828459045 1.2091449902958866 1.5091368381631585
Iteration: 191 2.718281828459045 1.2103542398935438 1.5079275885655012
Iteration: 192 2.718281828459045 1.211564699345625 1.50671712911342
Iteration: 193 2.718281828459045 1.21277636986259 1.5055054585964551
Iteration: 194 2.718281828459045 1.2139892526561091 1.504292575802936
Iteration: 195 2.718281828459045 1.2152033489390655 1.5030784795199796
Iteration: 196 2.718281828459045 1.216418659925555 1.50186316853349
Iteration: 197 2.718281828459045 1.2176351868308894 1.5006466416281556
Iteration: 198 2.718281828459045 1.2188529308715954 1.4994288975874497
Iteration: 199 2.718281828459045 1.220071893265417 1.498209935193628
Iteration: 200 2.718281828459045 1.221292075231317 1.496989753227728
Iteration: 201 2.718281828459045 1.222513477989477 1.495768350469568
Iteration: 202 2.718281828459045 1.2237361027613003 1.4945457256977448
Iteration: 203 2.718281828459045 1.2249599507694116 1.4933218776896335
Iteration: 204 2.718281828459045 1.226185023237659 1.492096805221386
Iteration: 205 2.718281828459045 1.2274113213911153 1.4908705070679298
Iteration: 206 2.718281828459045 1.2286388464560785 1.4896429820029666
Iteration: 207 2.718281828459045 1.2298675996600739 1.4884142287989712
Iteration: 208 2.718281828459045 1.2310975822318546 1.4871842462271905
Iteration: 209 2.718281828459045 1.2323287954014035 1.4859530330576416
Iteration: 210 2.718281828459045 1.2335612403999336 1.4847205880591114
Iteration: 211 2.718281828459045 1.2347949184598903 1.4834869099991548
Iteration: 212 2.718281828459045 1.2360298308149518 1.4822519976440933
Iteration: 213 2.718281828459045 1.2372659787000302 1.481015849759015
Iteration: 214 2.718281828459045 1.2385033633512739 1.4797784651077712
Iteration: 215 2.718281828459045 1.2397419860060672 1.4785398424529779
Iteration: 216 2.718281828459045 1.2409818479030332 1.4772999805560119
Iteration: 217 2.718281828459045 1.2422229502820339 1.4760588781770112
Iteration: 218 2.718281828459045 1.2434652943841717 1.4748165340748733
Iteration: 219 2.718281828459045 1.2447088814517908 1.4735729470072543
Iteration: 220 2.718281828459045 1.2459537127284783 1.4723281157305668
Iteration: 221 2.718281828459045 1.2471997894590656 1.4710820389999795
Iteration: 222 2.718281828459045 1.2484471128896297 1.4698347155694154
Iteration: 223 2.718281828459045 1.249695684267494 1.468586144191551
Iteration: 224 2.718281828459045 1.25094550484123 1.4673363236178152
Iteration: 225 2.718281828459045 1.2521965758606584 1.4660852525983867
Iteration: 226 2.718281828459045 1.2534488985768502 1.464832929882195
Iteration: 227 2.718281828459045 1.2547024742421284 1.4635793542169167
Iteration: 228 2.718281828459045 1.2559573041100687 1.4623245243489764
Iteration: 229 2.718281828459045 1.257213389435501 1.461068439023544
Iteration: 230 2.718281828459045 1.258470731474511 1.4598110969845342
Iteration: 231 2.718281828459045 1.2597293314844404 1.4585524969746047
Iteration: 232 2.718281828459045 1.2609891907238897 1.4572926377351554
Iteration: 233 2.718281828459045 1.262250310452718 1.456031518006327
Iteration: 234 2.718281828459045 1.2635126919320454 1.4547691365269997
Iteration: 235 2.718281828459045 1.2647763364242532 1.4535054920347918
Iteration: 236 2.718281828459045 1.266041245192986 1.452240583266059
Iteration: 237 2.718281828459045 1.267307419503153 1.450974408955892
Iteration: 238 2.718281828459045 1.2685748606209284 1.4497069678381167
Iteration: 239 2.718281828459045 1.2698435698137533 1.4484382586452917
Iteration: 240 2.718281828459045 1.271113548350337 1.447168280108708
Iteration: 241 2.718281828459045 1.2723847975006586 1.4458970309583865
Iteration: 242 2.718281828459045 1.2736573185359668 1.4446245099230783
Iteration: 243 2.718281828459045 1.274931112728783 1.443350715730262
Iteration: 244 2.718281828459045 1.2762061813529015 1.4420756471061436
Iteration: 245 2.718281828459045 1.277482525683391 1.440799302775654
Iteration: 246 2.718281828459045 1.278760146996596 1.4395216814624492
Iteration: 247 2.718281828459045 1.2800390465701377 1.4382427818889074
Iteration: 248 2.718281828459045 1.281319225682916 1.436962602776129
Iteration: 249 2.718281828459045 1.28260068561511 1.435681142843935
Iteration: 250 2.718281828459045 1.2838834276481799 1.4343984008108652
Iteration: 251 2.718281828459045 1.2851674530648676 1.4331143753941775
Iteration: 252 2.718281828459045 1.2864527631491989 1.4318290653098462
Iteration: 253 2.718281828459045 1.2877393591864836 1.4305424692725615
Iteration: 254 2.718281828459045 1.2890272424633182 1.4292545859957269
Iteration: 255 2.718281828459045 1.290316414267586 1.427965414191459
Iteration: 256 2.718281828459045 1.291606875888459 1.4266749525705862
Iteration: 257 2.718281828459045 1.2928986286163986 1.4253831998426465
Iteration: 258 2.718281828459045 1.294191673743158 1.424090154715887
Iteration: 259 2.718281828459045 1.2954860125617822 1.422795815897263
Iteration: 260 2.718281828459045 1.2967816463666102 1.421500182092435
Iteration: 261 2.718281828459045 1.298078576453276 1.420203252005769
Iteration: 262 2.718281828459045 1.2993768041187097 1.4189050243403354
Iteration: 263 2.718281828459045 1.300676330661139 1.417605497797906
Iteration: 264 2.718281828459045 1.301977157380091 1.4163046710789542
Iteration: 265 2.718281828459045 1.3032792855763917 1.4150025428826534
Iteration: 266 2.718281828459045 1.3045827165521702 1.413699111906875
Iteration: 267 2.718281828459045 1.3058874516108572 1.412394376848188
Iteration: 268 2.718281828459045 1.307193492057188 1.4110883364018572
Iteration: 269 2.718281828459045 1.3085008391972028 1.4097809892618423
Iteration: 270 2.718281828459045 1.3098094943382492 1.4084723341207959
Iteration: 271 2.718281828459045 1.3111194587889825 1.4071623696700626
Iteration: 272 2.718281828459045 1.312430733859367 1.405851094599678
Iteration: 273 2.718281828459045 1.3137433208606781 1.404538507598367
Iteration: 274 2.718281828459045 1.315057221105503 1.4032246073535422
Iteration: 275 2.718281828459045 1.3163724359077416 1.4019093925513035
Iteration: 276 2.718281828459045 1.3176889665826093 1.4005928618764358
Iteration: 277 2.718281828459045 1.3190068144466365 1.3992750140124086
Iteration: 278 2.718281828459045 1.3203259808176715 1.3979558476413736
Iteration: 279 2.718281828459045 1.3216464670148806 1.3966353614441644
Iteration: 280 2.718281828459045 1.32296827435875 1.395313554100295
Iteration: 281 2.718281828459045 1.3242914041710876 1.3939904242879575
Iteration: 282 2.718281828459045 1.3256158577750228 1.3926659706840223
Iteration: 283 2.718281828459045 1.3269416364950095 1.3913401919640356
Iteration: 284 2.718281828459045 1.3282687416568266 1.3900130868022185
Iteration: 285 2.718281828459045 1.3295971745875794 1.3886846538714657
Iteration: 286 2.718281828459045 1.3309269366157008 1.3873548918433443
Iteration: 287 2.718281828459045 1.3322580290709531 1.386023799388092
Iteration: 288 2.718281828459045 1.3335904532844287 1.3846913751746164
Iteration: 289 2.718281828459045 1.3349242105885522 1.383357617870493
Iteration: 290 2.718281828459045 1.3362593023170806 1.3820225261419645
Iteration: 291 2.718281828459045 1.337595729805106 1.380686098653939
Iteration: 292 2.718281828459045 1.338933494389056 1.379348334069989
Iteration: 293 2.718281828459045 1.3402725974066954 1.3780092310523497
Iteration: 294 2.718281828459045 1.3416130401971271 1.376668788261918
Iteration: 295 2.718281828459045 1.342954824100794 1.375327004358251
Iteration: 296 2.718281828459045 1.3442979504594803 1.3739838779995648
Iteration: 297 2.718281828459045 1.3456424206163125 1.3726394078427326
Iteration: 298 2.718281828459045 1.3469882359157606 1.3712935925432845
Iteration: 299 2.718281828459045 1.34833539770364 1.369946430755405
Iteration: 300 2.718281828459045 1.349683907327113 1.3685979211319321
Iteration: 301 2.718281828459045 1.351033766134689 1.3672480623243561
Iteration: 302 2.718281828459045 1.352384975476227 1.3658968529828182
Iteration: 303 2.718281828459045 1.3537375367029365 1.3645442917561086
Iteration: 304 2.718281828459045 1.3550914511673788 1.3631903772916663
Iteration: 305 2.718281828459045 1.3564467202234685 1.3618351082355766
Iteration: 306 2.718281828459045 1.3578033452264746 1.3604784832325705
Iteration: 307 2.718281828459045 1.3591613275330225 1.3591205009260225
Iteration: 308 2.718281828459045 1.3605206685010944 1.3577611599579507
Iteration: 309 2.718281828459045 1.3618813694900316 1.3564004589690135
Iteration: 310 2.718281828459045 1.363243431860535 1.35503839659851
Iteration: 311 2.718281828459045 1.3646068569746672 1.3536749714843779
Iteration: 312 2.718281828459045 1.3659716461958533 1.3523101822631918
Iteration: 313 2.718281828459045 1.3673378008888828 1.3509440275701623
Iteration: 314 2.718281828459045 1.3687053224199104 1.3495765060391347
Iteration: 315 2.718281828459045 1.3700742121564577 1.3482076163025873
Iteration: 316 2.718281828459045 1.3714444714674148 1.3468373569916303
Iteration: 317 2.718281828459045 1.372816101723041 1.3454657267360042
Iteration: 318 2.718281828459045 1.3741891042949663 1.3440927241640788
Iteration: 319 2.718281828459045 1.3755634805561938 1.3427183479028513
Iteration: 320 2.718281828459045 1.3769392318810998 1.3413425965779453
Iteration: 321 2.718281828459045 1.3783163596454358 1.3399654688136093
Iteration: 322 2.718281828459045 1.3796948652263294 1.3385869632327156
Iteration: 323 2.718281828459045 1.3810747500022866 1.3372070784567585
Iteration: 324 2.718281828459045 1.3824560153531922 1.335825813105853
Iteration: 325 2.718281828459045 1.3838386626603116 1.3344431657987335
Iteration: 326 2.718281828459045 1.3852226933062923 1.3330591351527528
Iteration: 327 2.718281828459045 1.3866081086751652 1.33167371978388
Iteration: 328 2.718281828459045 1.3879949101523454 1.3302869183066997
Iteration: 329 2.718281828459045 1.3893830991246348 1.3288987293344103
Iteration: 330 2.718281828459045 1.3907726769802224 1.3275091514788226
Iteration: 331 2.718281828459045 1.3921636451086863 1.3261181833503588
Iteration: 332 2.718281828459045 1.3935560049009945 1.3247258235580506
Iteration: 333 2.718281828459045 1.3949497577495071 1.323332070709538
Iteration: 334 2.718281828459045 1.396344905047977 1.321936923411068
Iteration: 335 2.718281828459045 1.3977414481915515 1.3205403802674935
Iteration: 336 2.718281828459045 1.399139388576774 1.319142439882271
Iteration: 337 2.718281828459045 1.4005387276015848 1.3177431008574603
Iteration: 338 2.718281828459045 1.4019394666653233 1.3163423617937218
Iteration: 339 2.718281828459045 1.4033416071687286 1.3149402212903165
Iteration: 340 2.718281828459045 1.4047451505139412 1.3135366779451039
Iteration: 341 2.718281828459045 1.4061500981045048 1.3121317303545403
Iteration: 342 2.718281828459045 1.4075564513453669 1.3107253771136782
Iteration: 343 2.718281828459045 1.4089642116428809 1.3093176168161642
Iteration: 344 2.718281828459045 1.4103733804048073 1.3079084480542378
Iteration: 345 2.718281828459045 1.411783959040315 1.3064978694187301
Iteration: 346 2.718281828459045 1.4131959489599826 1.3050858794990625
Iteration: 347 2.718281828459045 1.4146093515758003 1.3036724768832448
Iteration: 348 2.718281828459045 1.4160241683011707 1.3022576601578744
Iteration: 349 2.718281828459045 1.4174404005509107 1.3008414279081344
Iteration: 350 2.718281828459045 1.4188580497412526 1.2994237787177925
Iteration: 351 2.718281828459045 1.4202771172898458 1.2980047111691992
Iteration: 352 2.718281828459045 1.4216976046157581 1.296584223843287
Iteration: 353 2.718281828459045 1.4231195131394767 1.2951623153195684
Iteration: 354 2.718281828459045 1.4245428442829102 1.2937389841761349
Iteration: 355 2.718281828459045 1.4259675994693901 1.292314228989655
Iteration: 356 2.718281828459045 1.4273937801236716 1.2908880483353735
Iteration: 357 2.718281828459045 1.4288213876719353 1.2894604407871098
Iteration: 358 2.718281828459045 1.4302504235417892 1.2880314049172559
Iteration: 359 2.718281828459045 1.4316808891622692 1.2866009392967759
Iteration: 360 2.718281828459045 1.4331127859638408 1.2851690424952043
Iteration: 361 2.718281828459045 1.4345461153784012 1.283735713080644
Iteration: 362 2.718281828459045 1.4359808788392796 1.2823009496197655
Iteration: 363 2.718281828459045 1.43741707778124 1.280864750677805
Iteration: 364 2.718281828459045 1.4388547136404812 1.2794271148185639
Iteration: 365 2.718281828459045 1.4402937878546394 1.2779880406044057
Iteration: 366 2.718281828459045 1.4417343018627886 1.2765475265962565
Iteration: 367 2.718281828459045 1.4431762571054432 1.275105571353602
Iteration: 368 2.718281828459045 1.4446196550245582 1.2736621734344868
Iteration: 369 2.718281828459045 1.4460644970635321 1.272217331395513
Iteration: 370 2.718281828459045 1.4475107846672068 1.2707710437918383
Iteration: 371 2.718281828459045 1.4489585192818701 1.269323309177175
Iteration: 372 2.718281828459045 1.4504077023552568 1.2678741261037882
Iteration: 373 2.718281828459045 1.45185833533655 1.2664234931224951
Iteration: 374 2.718281828459045 1.4533104196763826 1.2649714087826625
Iteration: 375 2.718281828459045 1.4547639568268396 1.2635178716322055
Iteration: 376 2.718281828459045 1.4562189482414578 1.2620628802175873
Iteration: 377 2.718281828459045 1.4576753953752288 1.2606064330838163
Iteration: 378 2.718281828459045 1.4591332996846 1.259148528774445
Iteration: 379 2.718281828459045 1.460592662627476 1.2576891658315692
Iteration: 380 2.718281828459045 1.4620534856632192 1.2562283427958258
Iteration: 381 2.718281828459045 1.4635157702526536 1.2547660582063915
Iteration: 382 2.718281828459045 1.4649795178580634 1.2533023106009817
Iteration: 383 2.718281828459045 1.4664447299431964 1.2518370985158487
Iteration: 384 2.718281828459045 1.467911407973265 1.2503704204857802
Iteration: 385 2.718281828459045 1.469379553414947 1.2489022750440981
Iteration: 386 2.718281828459045 1.4708491677363882 1.247432660722657
Iteration: 387 2.718281828459045 1.472320252407203 1.245961576051842
Iteration: 388 2.718281828459045 1.4737928088984762 1.244489019560569
Iteration: 389 2.718281828459045 1.4752668386827643 1.2430149897762808
Iteration: 390 2.718281828459045 1.4767423432340974 1.2415394852249477
Iteration: 391 2.718281828459045 1.47821932402798 1.2400625044310651
Iteration: 392 2.718281828459045 1.479697782541393 1.238584045917652
Iteration: 393 2.718281828459045 1.4811777202527954 1.2371041082062497
Iteration: 394 2.718281828459045 1.4826591386421246 1.2356226898169205
Iteration: 395 2.718281828459045 1.4841420391907993 1.2341397892682457
Iteration: 396 2.718281828459045 1.4856264233817202 1.2326554050773249
Iteration: 397 2.718281828459045 1.4871122926992717 1.2311695357597734
Iteration: 398 2.718281828459045 1.488599648629323 1.2296821798297222
Iteration: 399 2.718281828459045 1.4900884926592302 1.228193335799815
Iteration: 400 2.718281828459045 1.4915788262778376 1.2267030021812075
Iteration: 401 2.718281828459045 1.4930706509754788 1.2252111774835663
Iteration: 402 2.718281828459045 1.4945639682439786 1.2237178602150665
Iteration: 403 2.718281828459045 1.4960587795766547 1.2222230488823904
Iteration: 404 2.718281828459045 1.4975550864683183 1.2207267419907268
Iteration: 405 2.718281828459045 1.4990528904152765 1.2192289380437686
Iteration: 406 2.718281828459045 1.5005521929153331 1.217729635543712
Iteration: 407 2.718281828459045 1.5020529954677913 1.2162288329912538
Iteration: 408 2.718281828459045 1.5035552995734531 1.214726528885592
Iteration: 409 2.718281828459045 1.5050591067346233 1.2132227217244218
Iteration: 410 2.718281828459045 1.5065644184551088 1.2117174100039363
Iteration: 411 2.718281828459045 1.5080712362402215 1.2102105922188235
Iteration: 412 2.718281828459045 1.5095795615967795 1.2087022668622656
Iteration: 413 2.718281828459045 1.5110893960331082 1.2071924324259369
Iteration: 414 2.718281828459045 1.5126007410590423 1.2056810874000028
Iteration: 415 2.718281828459045 1.5141135981859266 1.2041682302731185
Iteration: 416 2.718281828459045 1.5156279689266186 1.2026538595324265
Iteration: 417 2.718281828459045 1.5171438547954892 1.201137973663556
Iteration: 418 2.718281828459045 1.5186612573084244 1.1996205711506207
Iteration: 419 2.718281828459045 1.5201801779828266 1.1981016504762185
Iteration: 420 2.718281828459045 1.5217006183376167 1.1965812101214284
Iteration: 421 2.718281828459045 1.5232225798932353 1.1950592485658098
Iteration: 422 2.718281828459045 1.524746064171644 1.1935357642874012
Iteration: 423 2.718281828459045 1.5262710726963271 1.192010755762718
Iteration: 424 2.718281828459045 1.5277976069922936 1.1904842214667515
Iteration: 425 2.718281828459045 1.5293256685860777 1.1889561598729674
Iteration: 426 2.718281828459045 1.530855259005741 1.1874265694533042
Iteration: 427 2.718281828459045 1.532386379780874 1.185895448678171
Iteration: 428 2.718281828459045 1.5339190324425982 1.184362796016447
Iteration: 429 2.718281828459045 1.5354532185235659 1.1828286099354792
Iteration: 430 2.718281828459045 1.5369889395579632 1.1812928889010819
Iteration: 431 2.718281828459045 1.5385261970815116 1.1797556313775335
Iteration: 432 2.718281828459045 1.5400649926314685 1.1782168358275766
Iteration: 433 2.718281828459045 1.5416053277466295 1.1766765007124156
Iteration: 434 2.718281828459045 1.5431472039673302 1.175134624491715
Iteration: 435 2.718281828459045 1.5446906228354467 1.1735912056235984
Iteration: 436 2.718281828459045 1.546235585894398 1.1720462425646472
Iteration: 437 2.718281828459045 1.5477820946891472 1.170499733769898
Iteration: 438 2.718281828459045 1.5493301507662036 1.1689516776928415
Iteration: 439 2.718281828459045 1.5508797556736231 1.167402072785422
Iteration: 440 2.718281828459045 1.5524309109610108 1.1658509174980343
Iteration: 441 2.718281828459045 1.5539836181795221 1.164298210279523
Iteration: 442 2.718281828459045 1.5555378788818643 1.1627439495771807
Iteration: 443 2.718281828459045 1.5570936946222984 1.1611881338367467
Iteration: 444 2.718281828459045 1.5586510669566402 1.1596307615024048
Iteration: 445 2.718281828459045 1.560209997442262 1.158071831016783
Iteration: 446 2.718281828459045 1.5617704876380947 1.1565113408209504
Iteration: 447 2.718281828459045 1.5633325391046284 1.1549492893544167
Iteration: 448 2.718281828459045 1.5648961534039147 1.1533856750551303
Iteration: 449 2.718281828459045 1.5664613320995682 1.151820496359477
Iteration: 450 2.718281828459045 1.5680280767567676 1.1502537517022775
Iteration: 451 2.718281828459045 1.5695963889422577 1.1486854395167874
Iteration: 452 2.718281828459045 1.571166270224351 1.1471155582346941
Iteration: 453 2.718281828459045 1.5727377221729286 1.1455441062861165
Iteration: 454 2.718281828459045 1.5743107463594428 1.1439710820996023
Iteration: 455 2.718281828459045 1.5758853443569178 1.1423964841021272
Iteration: 456 2.718281828459045 1.5774615177399518 1.1408203107190933
Iteration: 457 2.718281828459045 1.5790392680847183 1.1392425603743268
Iteration: 458 2.718281828459045 1.5806185969689677 1.1376632314900774
Iteration: 459 2.718281828459045 1.582199505972029 1.136082322487016
Iteration: 460 2.718281828459045 1.5837819966748117 1.1344998317842334
Iteration: 461 2.718281828459045 1.585366070659806 1.132915757799239
Iteration: 462 2.718281828459045 1.5869517295110867 1.1313300989479584
Iteration: 463 2.718281828459045 1.5885389748143122 1.129742853644733
Iteration: 464 2.718281828459045 1.5901278081567283 1.1281540203023168
Iteration: 465 2.718281828459045 1.5917182311271683 1.1265635973318768
Iteration: 466 2.718281828459045 1.5933102453160553 1.1249715831429898
Iteration: 467 2.718281828459045 1.5949038523154038 1.1233779761436413
Iteration: 468 2.718281828459045 1.5964990537188208 1.1217827747402243
Iteration: 469 2.718281828459045 1.598095851121508 1.120185977337537
Iteration: 470 2.718281828459045 1.5996942461202626 1.1185875823387825
Iteration: 471 2.718281828459045 1.60129424031348 1.116987588145565
Iteration: 472 2.718281828459045 1.6028958353011544 1.1153859931578907
Iteration: 473 2.718281828459045 1.604499032684881 1.1137827957741642
Iteration: 474 2.718281828459045 1.6061038340678573 1.1121779943911878
Iteration: 475 2.718281828459045 1.6077102410548847 1.1105715874041604
Iteration: 476 2.718281828459045 1.6093182552523704 1.1089635732066747
Iteration: 477 2.718281828459045 1.6109278782683287 1.1073539501907164
Iteration: 478 2.718281828459045 1.612539111712383 1.105742716746662
Iteration: 479 2.718281828459045 1.6141519571957668 1.1041298712632783
Iteration: 480 2.718281828459045 1.6157664163313255 1.1025154121277196
Iteration: 481 2.718281828459045 1.6173824907335184 1.1008993377255267
Iteration: 482 2.718281828459045 1.61900018201842 1.099281646440625
Iteration: 483 2.718281828459045 1.620619491803722 1.097662336655323
Iteration: 484 2.718281828459045 1.622240421708734 1.096041406750311
Iteration: 485 2.718281828459045 1.6238629733543863 1.0944188551046587
Iteration: 486 2.718281828459045 1.6254871483632305 1.0927946800958146
Iteration: 487 2.718281828459045 1.6271129483594418 1.0911688800996033
Iteration: 488 2.718281828459045 1.6287403749688203 1.0895414534902248
Iteration: 489 2.718281828459045 1.630369429818793 1.0879123986402521
Iteration: 490 2.718281828459045 1.6320001145384144 1.0862817139206307
Iteration: 491 2.718281828459045 1.6336324307583698 1.0846493977006753
Iteration: 492 2.718281828459045 1.6352663801109755 1.0830154483480696
Iteration: 493 2.718281828459045 1.6369019642301808 1.0813798642288643
Iteration: 494 2.718281828459045 1.63853918475157 1.079742643707475
Iteration: 495 2.718281828459045 1.6401780433123638 1.0781037851466813
Iteration: 496 2.718281828459045 1.6418185415514208 1.0764632869076243
Iteration: 497 2.718281828459045 1.6434606811092396 1.0748211473498055
Iteration: 498 2.718281828459045 1.6451044636279597 1.0731773648310854
Iteration: 499 2.718281828459045 1.6467498907513638 1.0715319377076813
Iteration: 500 2.718281828459045 1.6483969641248792 1.0698848643341659
Iteration: 501 2.718281828459045 1.6500456853955794 1.0682361430634657
Iteration: 502 2.718281828459045 1.6516960562121856 1.0665857722468595
Iteration: 503 2.718281828459045 1.6533480782250691 1.064933750233976
Iteration: 504 2.718281828459045 1.655001753086252 1.0632800753727931
Iteration: 505 2.718281828459045 1.6566570824494091 1.061624746009636
Iteration: 506 2.718281828459045 1.65831406796987 1.059967760489175
Iteration: 507 2.718281828459045 1.6599727113046203 1.0583091171544248
Iteration: 508 2.718281828459045 1.6616330141123035 1.0566488143467416
Iteration: 509 2.718281828459045 1.6632949780532225 1.0549868504058226
Iteration: 510 2.718281828459045 1.6649586047893414 1.0533232236697037
Iteration: 511 2.718281828459045 1.6666238959842874 1.0516579324747577
Iteration: 512 2.718281828459045 1.6682908533033514 1.0499909751556937
Iteration: 513 2.718281828459045 1.669959478413491 1.048322350045554
Iteration: 514 2.718281828459045 1.6716297729833316 1.0466520554757135
Iteration: 515 2.718281828459045 1.6733017386831677 1.0449800897758774
Iteration: 516 2.718281828459045 1.6749753771849651 1.04330645127408
Iteration: 517 2.718281828459045 1.6766506901623628 1.0416311382966823
Iteration: 518 2.718281828459045 1.6783276792906736 1.0399541491683715
Iteration: 519 2.718281828459045 1.6800063462468868 1.0382754822121583
Iteration: 520 2.718281828459045 1.6816866927096696 1.0365951357493755
Iteration: 521 2.718281828459045 1.6833687203593686 1.0349131080996765
Iteration: 522 2.718281828459045 1.6850524308780115 1.0332293975810336
Iteration: 523 2.718281828459045 1.6867378259493089 1.0315440025097362
Iteration: 524 2.718281828459045 1.6884249072586561 1.029856921200389
Iteration: 525 2.718281828459045 1.6901136764931346 1.0281681519659105
Iteration: 526 2.718281828459045 1.6918041353415136 1.0264776931175315
Iteration: 527 2.718281828459045 1.6934962854942524 1.0247855429647927
Iteration: 528 2.718281828459045 1.695190128643501 1.0230916998155442
Iteration: 529 2.718281828459045 1.6968856664831027 1.0213961619759424
Iteration: 530 2.718281828459045 1.6985829007085957 1.0196989277504493
Iteration: 531 2.718281828459045 1.7002818330172143 1.0179999954418308
Iteration: 532 2.718281828459045 1.7019824651078908 1.0162993633511543
Iteration: 533 2.718281828459045 1.7036847986812576 1.0145970297777875
Iteration: 534 2.718281828459045 1.7053888354396483 1.0128929930193968
Iteration: 535 2.718281828459045 1.7070945770870998 1.0111872513719453
Iteration: 536 2.718281828459045 1.7088020253293539 1.0094798031296912
Iteration: 537 2.718281828459045 1.7105111818738592 1.007770646585186
Iteration: 538 2.718281828459045 1.712222048429772 1.006059780029273
Iteration: 539 2.718281828459045 1.7139346267079594 1.0043472017510857
Iteration: 540 2.718281828459045 1.7156489184209995 1.0026329100380456
Iteration: 541 2.718281828459045 1.7173649252831844 1.0009169031758607
Iteration: 542 2.718281828459045 1.7190826490105209 0.9991991794485242
Iteration: 543 2.718281828459045 1.720802091320733 0.9974797371383122
Iteration: 544 2.718281828459045 1.722523253933263 0.995758574525782
Iteration: 545 2.718281828459045 1.724246138569274 0.9940356898897711
Iteration: 546 2.718281828459045 1.7259707469516505 0.9923110815073946
Iteration: 547 2.718281828459045 1.727697080805001 0.9905847476540441
Iteration: 548 2.718281828459045 1.7294251418556594 0.9888566866033857
Iteration: 549 2.718281828459045 1.7311549318316872 0.9871268966273579
Iteration: 550 2.718281828459045 1.7328864524628744 0.9853953759961707
Iteration: 551 2.718281828459045 1.7346197054807417 0.9836621229783034
Iteration: 552 2.718281828459045 1.7363546926185425 0.9819271358405026
Iteration: 553 2.718281828459045 1.738091415611264 0.9801904128477812
Iteration: 554 2.718281828459045 1.739829876195629 0.9784519522634161
Iteration: 555 2.718281828459045 1.7415700761100985 0.9767117523489466
Iteration: 556 2.718281828459045 1.7433120170948726 0.9749698113641725
Iteration: 557 2.718281828459045 1.7450557008918923 0.9732261275671528
Iteration: 558 2.718281828459045 1.7468011292448418 0.9714806992142033
Iteration: 559 2.718281828459045 1.7485483038991492 0.9697335245598959
Iteration: 560 2.718281828459045 1.7502972266019896 0.9679846018570555
Iteration: 561 2.718281828459045 1.7520478991022856 0.9662339293567594
Iteration: 562 2.718281828459045 1.7538003231507102 0.9644815053083349
Iteration: 563 2.718281828459045 1.7555545004996873 0.9627273279593578
Iteration: 564 2.718281828459045 1.7573104329033944 0.9609713955556507
Iteration: 565 2.718281828459045 1.7590681221177642 0.9592137063412809
Iteration: 566 2.718281828459045 1.760827569900486 0.957454258558559
Iteration: 567 2.718281828459045 1.7625887780110079 0.9556930504480372
Iteration: 568 2.718281828459045 1.7643517482105378 0.9539300802485073
Iteration: 569 2.718281828459045 1.7661164822620463 0.9521653461969988
Iteration: 570 2.718281828459045 1.7678829819302675 0.9503988465287776
Iteration: 571 2.718281828459045 1.7696512489817011 0.948630579477344
Iteration: 572 2.718281828459045 1.7714212851846145 0.9468605432744306
Iteration: 573 2.718281828459045 1.773193092309044 0.9450887361500011
Iteration: 574 2.718281828459045 1.774966672126797 0.9433151563322482
Iteration: 575 2.718281828459045 1.7767420264114533 0.9415398020475918
Iteration: 576 2.718281828459045 1.7785191569383674 0.9397626715206777
Iteration: 577 2.718281828459045 1.7802980654846698 0.9379837629743752
Iteration: 578 2.718281828459045 1.7820787538292695 0.9362030746297756
Iteration: 579 2.718281828459045 1.7838612237528548 0.9344206047061903
Iteration: 580 2.718281828459045 1.7856454770378958 0.9326363514211493
Iteration: 581 2.718281828459045 1.7874315154686458 0.9308503129903993
Iteration: 582 2.718281828459045 1.7892193408311436 0.9290624876279014
Iteration: 583 2.718281828459045 1.7910089549132147 0.9272728735458304
Iteration: 584 2.718281828459045 1.792800359504473 0.9254814689545721
Iteration: 585 2.718281828459045 1.7945935563963238 0.9236882720627213
Iteration: 586 2.718281828459045 1.7963885473819636 0.9218932810770815
Iteration: 587 2.718281828459045 1.7981853342563838 0.9200964942026613
Iteration: 588 2.718281828459045 1.7999839188163715 0.9182979096426735
Iteration: 589 2.718281828459045 1.8017843028605114 0.9164975255985337
Iteration: 590 2.718281828459045 1.8035864881891874 0.9146953402698577
Iteration: 591 2.718281828459045 1.8053904766045852 0.9128913518544599
Iteration: 592 2.718281828459045 1.8071962699106934 0.9110855585483517
Iteration: 593 2.718281828459045 1.8090038699133053 0.9092779585457398
Iteration: 594 2.718281828459045 1.8108132784200213 0.9074685500390238
Iteration: 595 2.718281828459045 1.8126244972402499 0.9056573312187952
Iteration: 596 2.718281828459045 1.81443752818521 0.903844300273835
Iteration: 597 2.718281828459045 1.816252373067933 0.9020294553911121
Iteration: 598 2.718281828459045 1.8180690337032634 0.9002127947557816
Iteration: 599 2.718281828459045 1.8198875119078626 0.8983943165511825
Iteration: 600 2.718281828459045 1.8217078095002084 0.8965740189588367
Iteration: 601 2.718281828459045 1.8235299283005988 0.8947519001584463
Iteration: 602 2.718281828459045 1.825353870131153 0.8929279583278922
Iteration: 603 2.718281828459045 1.8271796368158124 0.8911021916432327
Iteration: 604 2.718281828459045 1.8290072301803444 0.8892745982787007
Iteration: 605 2.718281828459045 1.8308366520523423 0.8874451764067028
Iteration: 606 2.718281828459045 1.832667904261228 0.8856139241978171
Iteration: 607 2.718281828459045 1.834500988638254 0.8837808398207911
Iteration: 608 2.718281828459045 1.8363359070165048 0.8819459214425402
Iteration: 609 2.718281828459045 1.838172661230899 0.880109167228146
Iteration: 610 2.718281828459045 1.840011253118191 0.8782705753408542
Iteration: 611 2.718281828459045 1.8418516845169726 0.8764301439420725
Iteration: 612 2.718281828459045 1.8436939572676756 0.8745878711913695
Iteration: 613 2.718281828459045 1.8455380732125728 0.8727437552464723
Iteration: 614 2.718281828459045 1.8473840341957801 0.870897794263265
Iteration: 615 2.718281828459045 1.849231842063259 0.8690499863957861
Iteration: 616 2.718281828459045 1.8510814986628172 0.8672003297962279
Iteration: 617 2.718281828459045 1.8529330058441118 0.8653488226149333
Iteration: 618 2.718281828459045 1.8547863654586498 0.8634954630003953
Iteration: 619 2.718281828459045 1.8566415793597912 0.8616402490992539
Iteration: 620 2.718281828459045 1.85849864940275 0.8597831790562951
Iteration: 621 2.718281828459045 1.8603575774445964 0.8579242510144487
Iteration: 622 2.718281828459045 1.8622183653442586 0.8560634631147865
Iteration: 623 2.718281828459045 1.8640810149625244 0.8542008134965207
Iteration: 624 2.718281828459045 1.8659455281620438 0.8523363002970012
Iteration: 625 2.718281828459045 1.8678119068073302 0.8504699216517149
Iteration: 626 2.718281828459045 1.8696801527647624 0.8486016756942827
Iteration: 627 2.718281828459045 1.8715502679025864 0.8467315605564587
Iteration: 628 2.718281828459045 1.8734222540909176 0.8448595743681275
Iteration: 629 2.718281828459045 1.8752961132017423 0.8429857152573028
Iteration: 630 2.718281828459045 1.8771718471089198 0.8411099813501253
Iteration: 631 2.718281828459045 1.8790494576881842 0.8392323707708609
Iteration: 632 2.718281828459045 1.8809289468171462 0.8373528816418989
Iteration: 633 2.718281828459045 1.882810316375295 0.8354715120837501
Iteration: 634 2.718281828459045 1.8846935682440003 0.8335882602150448
Iteration: 635 2.718281828459045 1.886578704306514 0.831703124152531
Iteration: 636 2.718281828459045 1.8884657264479727 0.8298161020110724
Iteration: 637 2.718281828459045 1.8903546365553985 0.8279271919036466
Iteration: 638 2.718281828459045 1.8922454365177017 0.8260363919413434
Iteration: 639 2.718281828459045 1.8941381282256824 0.8241437002333627
Iteration: 640 2.718281828459045 1.8960327135720325 0.8222491148870126
Iteration: 641 2.718281828459045 1.8979291944513375 0.8203526340077076
Iteration: 642 2.718281828459045 1.8998275727600784 0.8184542556989667
Iteration: 643 2.718281828459045 1.9017278503966337 0.8165539780624114
Iteration: 644 2.718281828459045 1.903630029261281 0.814651799197764
Iteration: 645 2.718281828459045 1.9055341112561996 0.8127477172028454
Iteration: 646 2.718281828459045 1.9074400982854716 0.8108417301735735
Iteration: 647 2.718281828459045 1.909347992255084 0.8089338362039611
Iteration: 648 2.718281828459045 1.911257795072931 0.8070240333861141
Iteration: 649 2.718281828459045 1.9131695086488159 0.8051123198102292
Iteration: 650 2.718281828459045 1.915083134894452 0.8031986935645932
Iteration: 651 2.718281828459045 1.9169986757234658 0.8012831527355793
Iteration: 652 2.718281828459045 1.9189161330513984 0.7993656954076467
Iteration: 653 2.718281828459045 1.9208355087957074 0.7974463196633377
Iteration: 654 2.718281828459045 1.9227568048757684 0.7955250235832767
Iteration: 655 2.718281828459045 1.9246800232128778 0.7936018052461673
Iteration: 656 2.718281828459045 1.926605165730254 0.791676662728791
Iteration: 657 2.718281828459045 1.92853223435304 0.7897495941060051
Iteration: 658 2.718281828459045 1.9304612310083042 0.7878205974507408
Iteration: 659 2.718281828459045 1.9323921576250438 0.7858896708340013
Iteration: 660 2.718281828459045 1.9343250161341852 0.7839568123248599
Iteration: 661 2.718281828459045 1.9362598084685871 0.782022019990458
Iteration: 662 2.718281828459045 1.9381965365630422 0.7800852918960028
Iteration: 663 2.718281828459045 1.9401352023542788 0.7781466261047663
Iteration: 664 2.718281828459045 1.9420758077809628 0.7762060206780823
Iteration: 665 2.718281828459045 1.9440183547836996 0.7742634736753455
Iteration: 666 2.718281828459045 1.9459628453050364 0.7723189831540087
Iteration: 667 2.718281828459045 1.947909281289464 0.770372547169581
Iteration: 668 2.718281828459045 1.9498576646834185 0.7684241637756266
Iteration: 669 2.718281828459045 1.9518079974352835 0.7664738310237615
Iteration: 670 2.718281828459045 1.9537602814953918 0.7645215469636533
Iteration: 671 2.718281828459045 1.9557145188160279 0.7625673096430172
Iteration: 672 2.718281828459045 1.957670711351429 0.7606111171076162
Iteration: 673 2.718281828459045 1.9596288610577877 0.7586529674012574
Iteration: 674 2.718281828459045 1.961588969893254 0.756692858565791
Iteration: 675 2.718281828459045 1.9635510398179372 0.7547307886411079
Iteration: 676 2.718281828459045 1.965515072793907 0.7527667556651381
Iteration: 677 2.718281828459045 1.9674810707851969 0.7508007576738482
Iteration: 678 2.718281828459045 1.9694490357578045 0.7488327927012406
Iteration: 679 2.718281828459045 1.9714189696796953 0.7468628587793498
Iteration: 680 2.718281828459045 1.9733908745208035 0.7448909539382416
Iteration: 681 2.718281828459045 1.975364752253034 0.7429170762060111
Iteration: 682 2.718281828459045 1.9773406048502646 0.7409412236087805
Iteration: 683 2.718281828459045 1.979318434288348 0.738963394170697
Iteration: 684 2.718281828459045 1.9812982425451142 0.7369835859139309
Iteration: 685 2.718281828459045 1.9832800316003711 0.735001796858674
Iteration: 686 2.718281828459045 1.9852638034359082 0.7330180250231368
Iteration: 687 2.718281828459045 1.9872495600354976 0.7310322684235475
Iteration: 688 2.718281828459045 1.9892373033848958 0.7290445250741493
Iteration: 689 2.718281828459045 1.9912270354718464 0.7270547929871987
Iteration: 690 2.718281828459045 1.9932187582860819 0.7250630701729632
Iteration: 691 2.718281828459045 1.9952124738193249 0.7230693546397202
Iteration: 692 2.718281828459045 1.9972081840652913 0.7210736443937538
Iteration: 693 2.718281828459045 1.9992058910196915 0.7190759374393536
Iteration: 694 2.718281828459045 2.0012055966802325 0.7170762317788126
Iteration: 695 2.718281828459045 2.0032073030466204 0.7150745254124247
Iteration: 696 2.718281828459045 2.0052110121205615 0.7130708163384836
Iteration: 697 2.718281828459045 2.0072167259057654 0.7110651025532797
Iteration: 698 2.718281828459045 2.0092244464079454 0.7090573820510997
Iteration: 699 2.718281828459045 2.0112341756348227 0.7070476528242224
Iteration: 700 2.718281828459045 2.0132459155961264 0.7050359128629187
Iteration: 701 2.718281828459045 2.015259668303597 0.7030221601554483
Iteration: 702 2.718281828459045 2.017275435770987 0.7010063926880581
Iteration: 703 2.718281828459045 2.019293220014064 0.698988608444981
Iteration: 704 2.718281828459045 2.0213130230506127 0.6969688054084324
Iteration: 705 2.718281828459045 2.023334846900436 0.6949469815586089
Iteration: 706 2.718281828459045 2.0253586935853587 0.6929231348736864
Iteration: 707 2.718281828459045 2.0273845651292266 0.6908972633298185
Iteration: 708 2.718281828459045 2.029412463557912 0.6888693649011333
Iteration: 709 2.718281828459045 2.031442390899313 0.686839437559732
Iteration: 710 2.718281828459045 2.033474349183358 0.6848074792756873
Iteration: 711 2.718281828459045 2.0355083404420045 0.6827734880170406
Iteration: 712 2.718281828459045 2.0375443667092448 0.6807374617498003
Iteration: 713 2.718281828459045 2.0395824300211047 0.6786993984379404
Iteration: 714 2.718281828459045 2.041622532415648 0.6766592960433973
Iteration: 715 2.718281828459045 2.043664675932977 0.6746171525260682
Iteration: 716 2.718281828459045 2.0457088626152355 0.6725729658438095
Iteration: 717 2.718281828459045 2.0477550945066105 0.6705267339524346
Iteration: 718 2.718281828459045 2.049803373653334 0.6684784548057112
Iteration: 719 2.718281828459045 2.051853702103685 0.6664281263553602
Iteration: 720 2.718281828459045 2.0539060819079924 0.6643757465510527
Iteration: 721 2.718281828459045 2.0559605151186364 0.6623213133404087
Iteration: 722 2.718281828459045 2.05801700379005 0.660264824668995
Iteration: 723 2.718281828459045 2.0600755499787224 0.6582062784803226
Iteration: 724 2.718281828459045 2.0621361557431994 0.6561456727158457
Iteration: 725 2.718281828459045 2.0641988231440873 0.6540830053149578
Iteration: 726 2.718281828459045 2.066263554244054 0.6520182742149911
Iteration: 727 2.718281828459045 2.0683303511078304 0.6499514773512147
Iteration: 728 2.718281828459045 2.0703992158022135 0.6478826126568316
Iteration: 729 2.718281828459045 2.072470150396068 0.645811678062977
Iteration: 730 2.718281828459045 2.074543156960329 0.6437386714987161
Iteration: 731 2.718281828459045 2.076618237568003 0.6416635908910422
Iteration: 732 2.718281828459045 2.078695394294171 0.6395864341648743
Iteration: 733 2.718281828459045 2.08077462921599 0.6375071992430552
Iteration: 734 2.718281828459045 2.0828559444126946 0.6354258840463505
Iteration: 735 2.718281828459045 2.0849393419656006 0.6333424864934445
Iteration: 736 2.718281828459045 2.0870248239581057 0.6312570045009394
Iteration: 737 2.718281828459045 2.089112392475692 0.6291694359833531
Iteration: 738 2.718281828459045 2.0912020496059283 0.6270797788531168
Iteration: 739 2.718281828459045 2.0932937974384713 0.6249880310205738
Iteration: 740 2.718281828459045 2.09538763806507 0.6228941903939753
Iteration: 741 2.718281828459045 2.0974835735795643 0.6207982548794808
Iteration: 742 2.718281828459045 2.0995816060778902 0.6187002223811549
Iteration: 743 2.718281828459045 2.1016817376580805 0.6166000908009646
Iteration: 744 2.718281828459045 2.1037839704202668 0.6144978580387783
Iteration: 745 2.718281828459045 2.1058883064666825 0.6123935219923626
Iteration: 746 2.718281828459045 2.107994747901663 0.6102870805573821
Iteration: 747 2.718281828459045 2.1101032968316504 0.6081785316273947
Iteration: 748 2.718281828459045 2.112213955365194 0.6060678730938509
Iteration: 749 2.718281828459045 2.1143267256129525 0.6039551028460926
Iteration: 750 2.718281828459045 2.116441609687696 0.6018402187713492
Iteration: 751 2.718281828459045 2.1185586097043085 0.5997232187547366
Iteration: 752 2.718281828459045 2.120677727779791 0.5976041006792543
Iteration: 753 2.718281828459045 2.122798966033261 0.5954828624257842
Iteration: 754 2.718281828459045 2.124922326585957 0.593359501873088
Iteration: 755 2.718281828459045 2.12704781156124 0.591234016897805
Iteration: 756 2.718281828459045 2.1291754230845954 0.5891064053744497
Iteration: 757 2.718281828459045 2.1313051632836344 0.5869766651754107
Iteration: 758 2.718281828459045 2.1334370342880975 0.5848447941709476
Iteration: 759 2.718281828459045 2.1355710382298563 0.5827107902291888
Iteration: 760 2.718281828459045 2.1377071772429144 0.5805746512161307
Iteration: 761 2.718281828459045 2.139845453463411 0.578436374995634
Iteration: 762 2.718281828459045 2.141985869029623 0.5762959594294221
Iteration: 763 2.718281828459045 2.1441284260819655 0.5741534023770796
Iteration: 764 2.718281828459045 2.1462731267629964 0.5720087016960487
Iteration: 765 2.718281828459045 2.148419973217416 0.569861855241629
Iteration: 766 2.718281828459045 2.150568967592071 0.5677128608669739
Iteration: 767 2.718281828459045 2.1527201120359565 0.5655617164230886
Iteration: 768 2.718281828459045 2.1548734087002166 0.5634084197588285
Iteration: 769 2.718281828459045 2.157028859738148 0.5612529687208969
Iteration: 770 2.718281828459045 2.1591864673052026 0.5590953611538425
Iteration: 771 2.718281828459045 2.1613462335589877 0.5569355949000574
Iteration: 772 2.718281828459045 2.1635081606592697 0.5547736677997754
Iteration: 773 2.718281828459045 2.165672250767976 0.5526095776910691
Iteration: 774 2.718281828459045 2.1678385060491965 0.5504433224098486
Iteration: 775 2.718281828459045 2.170006928669187 0.5482748997898579
Iteration: 776 2.718281828459045 2.1721775207963705 0.5461043076626746
Iteration: 777 2.718281828459045 2.174350284601339 0.5439315438577061
Iteration: 778 2.718281828459045 2.1765252222568567 0.5417566062021884
Iteration: 779 2.718281828459045 2.1787023359378614 0.5395794925211836
Iteration: 780 2.718281828459045 2.1808816278214667 0.5374002006375784
Iteration: 781 2.718281828459045 2.1830631000869647 0.5352187283720804
Iteration: 782 2.718281828459045 2.1852467549158283 0.5330350735432168
Iteration: 783 2.718281828459045 2.187432594491712 0.530849233967333
Iteration: 784 2.718281828459045 2.189620621000456 0.528661207458589
Iteration: 785 2.718281828459045 2.191810836630087 0.5264709918289583
Iteration: 786 2.718281828459045 2.19400324357082 0.5242785848882252
Iteration: 787 2.718281828459045 2.196197844015063 0.5220839844439822
Iteration: 788 2.718281828459045 2.198394640157416 0.5198871883016292
Iteration: 789 2.718281828459045 2.200593634194676 0.5176881942643692
Iteration: 790 2.718281828459045 2.2027948283258367 0.5154870001332084
Iteration: 791 2.718281828459045 2.2049982247520927 0.5132836037069524
Iteration: 792 2.718281828459045 2.2072038256768405 0.5110780027822046
Iteration: 793 2.718281828459045 2.209411633305681 0.5088701951533641
Iteration: 794 2.718281828459045 2.2116216498464225 0.5066601786126226
Iteration: 795 2.718281828459045 2.213833877509081 0.504447950949964
Iteration: 796 2.718281828459045 2.216048318505885 0.5022335099531601
Iteration: 797 2.718281828459045 2.2182649750512757 0.5000168534077694
Iteration: 798 2.718281828459045 2.2204838493619095 0.49779797909713563
Iteration: 799 2.718281828459045 2.222704943656661 0.49557688480238404
Iteration: 800 2.718281828459045 2.2249282601566245 0.4933535683024206
Iteration: 801 2.718281828459045 2.227153801085117 0.49112802737392824
Iteration: 802 2.718281828459045 2.2293815686676792 0.48890025979136587
Iteration: 803 2.718281828459045 2.2316115651320794 0.4866702633269657
Iteration: 804 2.718281828459045 2.233843792708314 0.4844380357507312
Iteration: 805 2.718281828459045 2.2360782536286106 0.4822035748304345
Iteration: 806 2.718281828459045 2.2383149501274304 0.47996687833161467
Iteration: 807 2.718281828459045 2.2405538844414705 0.47772794401757457
Iteration: 808 2.718281828459045 2.242795058809665 0.4754867696493803
Iteration: 809 2.718281828459045 2.245038475473188 0.47324335298585707
Iteration: 810 2.718281828459045 2.2472841366754572 0.47099769178358786
Iteration: 811 2.718281828459045 2.249532044662134 0.46874978379691123
Iteration: 812 2.718281828459045 2.2517822016811255 0.46649962677791956
Iteration: 813 2.718281828459045 2.25403460998259 0.464247218476455
Iteration: 814 2.718281828459045 2.2562892718189356 0.4619925566401095
Iteration: 815 2.718281828459045 2.258546189444824 0.4597356390142209
Iteration: 816 2.718281828459045 2.260805365117174 0.4574764633418713
Iteration: 817 2.718281828459045 2.2630668010951602 0.45521502736388486
Iteration: 818 2.718281828459045 2.26533049964022 0.45295132881882516
Iteration: 819 2.718281828459045 2.267596463016051 0.4506853654429941
Iteration: 820 2.718281828459045 2.2698646934886173 0.4484171349704278
Iteration: 821 2.718281828459045 2.2721351933261498 0.4461466351328953
Iteration: 822 2.718281828459045 2.274407964799148 0.4438738636598969
Iteration: 823 2.718281828459045 2.2766830101803843 0.44159881827866077
Iteration: 824 2.718281828459045 2.2789603317449036 0.43932149671414145
Iteration: 825 2.718281828459045 2.2812399317700276 0.4370418966890175
Iteration: 826 2.718281828459045 2.2835218125353567 0.4347600159236884
Iteration: 827 2.718281828459045 2.2858059763227723 0.4324758521362728
Iteration: 828 2.718281828459045 2.288092425416438 0.4301894030426072
Iteration: 829 2.718281828459045 2.2903811621028027 0.42790066635624235
Iteration: 830 2.718281828459045 2.292672188670604 0.425609639788441
Iteration: 831 2.718281828459045 2.2949655074108684 0.42331632104817674
Iteration: 832 2.718281828459045 2.2972611206169145 0.42102070784213064
Iteration: 833 2.718281828459045 2.299559030584356 0.41872279787468925
Iteration: 834 2.718281828459045 2.301859239611103 0.41642258884794225
Iteration: 835 2.718281828459045 2.3041617499973643 0.41412007846168075
Iteration: 836 2.718281828459045 2.3064665640456514 0.41181526441339367
Iteration: 837 2.718281828459045 2.3087736840607778 0.4095081443982673
Iteration: 838 2.718281828459045 2.311083112349864 0.407198716109181
Iteration: 839 2.718281828459045 2.3133948512223386 0.4048869772367065
Iteration: 840 2.718281828459045 2.3157089029899405 0.4025729254691046
Iteration: 841 2.718281828459045 2.3180252699667214 0.40025655849232367
Iteration: 842 2.718281828459045 2.320343954469049 0.39793787398999614
Iteration: 843 2.718281828459045 2.3226649588156074 0.3956168696434377
Iteration: 844 2.718281828459045 2.3249882853274015 0.39329354313164355
Iteration: 845 2.718281828459045 2.327313936327758 0.3909678921312869
Iteration: 846 2.718281828459045 2.3296419141423286 0.3886399143167165
Iteration: 847 2.718281828459045 2.3319722210990905 0.38630960735995457
Iteration: 848 2.718281828459045 2.334304859528351 0.383976968930694
Iteration: 849 2.718281828459045 2.336639831762749 0.3816419966962963
Iteration: 850 2.718281828459045 2.3389771401372563 0.37930468832178876
Iteration: 851 2.718281828459045 2.341316786989182 0.37696504146986287
Iteration: 852 2.718281828459045 2.3436587746581736 0.37462305380087146
Iteration: 853 2.718281828459045 2.346003105486218 0.37227872297282705
Iteration: 854 2.718281828459045 2.348349781817647 0.3699320466413982
Iteration: 855 2.718281828459045 2.3506988059991367 0.36758302245990837
Iteration: 856 2.718281828459045 2.3530501803797117 0.3652316480793334
Iteration: 857 2.718281828459045 2.3554039073107464 0.36287792114829864
Iteration: 858 2.718281828459045 2.357759989145968 0.36052183931307713
Iteration: 859 2.718281828459045 2.3601184282414582 0.35816340021758686
Iteration: 860 2.718281828459045 2.362479226955657 0.35580260150338816
Iteration: 861 2.718281828459045 2.3648423876493627 0.35343944080968237
Iteration: 862 2.718281828459045 2.3672079126857364 0.3510739157733087
Iteration: 863 2.718281828459045 2.3695758044303035 0.3487060240287416
Iteration: 864 2.718281828459045 2.3719460652509556 0.34633576320808945
Iteration: 865 2.718281828459045 2.374318697517954 0.3439631309410909
Iteration: 866 2.718281828459045 2.3766937036039315 0.3415881248551136
Iteration: 867 2.718281828459045 2.3790710858838935 0.3392107425751516
Iteration: 868 2.718281828459045 2.381450846735223 0.3368309817238222
Iteration: 869 2.718281828459045 2.383832988537681 0.3344488399213641
Iteration: 870 2.718281828459045 2.3862175136734094 0.3320643147856357
Iteration: 871 2.718281828459045 2.3886044245269336 0.32967740393211153
Iteration: 872 2.718281828459045 2.3909937234851646 0.3272881049738805
Iteration: 873 2.718281828459045 2.393385412937402 0.32489641552164317
Iteration: 874 2.718281828459045 2.3957794952753346 0.32250233318371047
Iteration: 875 2.718281828459045 2.398175972893046 0.32010585556599924
Iteration: 876 2.718281828459045 2.400574848187013 0.31770698027203226
Iteration: 877 2.718281828459045 2.4029761235561113 0.31530570490293375
Iteration: 878 2.718281828459045 2.405379801401617 0.3129020270574281
Iteration: 879 2.718281828459045 2.407785884127208 0.31049594433183714
Iteration: 880 2.718281828459045 2.410194374138967 0.308087454320078
Iteration: 881 2.718281828459045 2.4126052738453843 0.30567655461366083
Iteration: 882 2.718281828459045 2.41501858565736 0.30326324280168526
Iteration: 883 2.718281828459045 2.4174343119882056 0.3008475164708395
Iteration: 884 2.718281828459045 2.419852455253648 0.2984293732053973
Iteration: 885 2.718281828459045 2.4222730178718304 0.29600881058721473
Iteration: 886 2.718281828459045 2.4246960022633157 0.29358582619572937
Iteration: 887 2.718281828459045 2.427121410851089 0.2911604176079563
Iteration: 888 2.718281828459045 2.4295492460605583 0.28873258239848676
Iteration: 889 2.718281828459045 2.4319795103195596 0.2863023181394855
Iteration: 890 2.718281828459045 2.434412206058357 0.283869622400688
Iteration: 891 2.718281828459045 2.436847335709647 0.28143449274939814
Iteration: 892 2.718281828459045 2.4392849017085587 0.2789969267504864
Iteration: 893 2.718281828459045 2.441724906492659 0.27655692196638615
Iteration: 894 2.718281828459045 2.4441673525019523 0.2741144759570928
Iteration: 895 2.718281828459045 2.4466122421788854 0.2716695862801597
Iteration: 896 2.718281828459045 2.4490595779683475 0.2692222504906976
Iteration: 897 2.718281828459045 2.451509362317675 0.26677246614136996
Iteration: 898 2.718281828459045 2.4539615976766527 0.2643202307823924
Iteration: 899 2.718281828459045 2.456416286497516 0.2618655419615292
Iteration: 900 2.718281828459045 2.458873431234953 0.2594083972240919
Iteration: 901 2.718281828459045 2.46133303434611 0.2569487941129349
Iteration: 902 2.718281828459045 2.46379509829059 0.254486730168455
Iteration: 903 2.718281828459045 2.4662596255304567 0.25202220292858835
Iteration: 904 2.718281828459045 2.468726618530238 0.2495552099288072
Iteration: 905 2.718281828459045 2.4711960797569263 0.24708574870211875
Iteration: 906 2.718281828459045 2.4736680116799836 0.24461381677906147
Iteration: 907 2.718281828459045 2.476142416771342 0.24213941168770292
Iteration: 908 2.718281828459045 2.478619297505407 0.239662530953638
Iteration: 909 2.718281828459045 2.4810986563590594 0.23718317209998574
Iteration: 910 2.718281828459045 2.4835804958116583 0.2347013326473868
Iteration: 911 2.718281828459045 2.486064818345043 0.23221701011400198
Iteration: 912 2.718281828459045 2.488551626443537 0.2297302020155083
Iteration: 913 2.718281828459045 2.4910409225939474 0.2272409058650977
Iteration: 914 2.718281828459045 2.4935327092855717 0.2247491191734734
Iteration: 915 2.718281828459045 2.4960269890101965 0.2222548394488486
Iteration: 916 2.718281828459045 2.498523764262101 0.21975806419694388
Iteration: 917 2.718281828459045 2.501023037538062 0.2172587909209831
Iteration: 918 2.718281828459045 2.503524811337352 0.21475701712169304
Iteration: 919 2.718281828459045 2.5060290881617453 0.2122527402972998
Iteration: 920 2.718281828459045 2.508535870515519 0.20974595794352613
Iteration: 921 2.718281828459045 2.5110451609054554 0.20723666755358972
Iteration: 922 2.718281828459045 2.513556961840845 0.2047248666182
Iteration: 923 2.718281828459045 2.5160712758334896 0.20221055262555554
Iteration: 924 2.718281828459045 2.518588105397703 0.19969372306134225
Iteration: 925 2.718281828459045 2.5211074530503144 0.19717437540873073
Iteration: 926 2.718281828459045 2.5236293213106724 0.19465250714837268
Iteration: 927 2.718281828459045 2.5261537127006455 0.1921281157583996
Iteration: 928 2.718281828459045 2.528680629744625 0.18960119871442016
Iteration: 929 2.718281828459045 2.531210074969528 0.187071753489517
Iteration: 930 2.718281828459045 2.5337420509048005 0.18453977755424456
Iteration: 931 2.718281828459045 2.536276560082418 0.1820052683766269
Iteration: 932 2.718281828459045 2.5388136050368906 0.17946822342215452
Iteration: 933 2.718281828459045 2.541353188305263 0.17692864015378218
Iteration: 934 2.718281828459045 2.543895312427119 0.17438651603192623
Iteration: 935 2.718281828459045 2.5464399799445823 0.17184184851446282
Iteration: 936 2.718281828459045 2.548987193402321 0.16929463505672393
Iteration: 937 2.718281828459045 2.551536955347549 0.166744873111496
Iteration: 938 2.718281828459045 2.5540892683300287 0.1641925601290164
Iteration: 939 2.718281828459045 2.5566441349020725 0.16163769355697255
Iteration: 940 2.718281828459045 2.5592015576185476 0.15908027084049747
Iteration: 941 2.718281828459045 2.561761539036877 0.156520289422168
Iteration: 942 2.718281828459045 2.564324081717042 0.15395774674200302
Iteration: 943 2.718281828459045 2.566889188221586 0.15139264023745902
Iteration: 944 2.718281828459045 2.5694568611156154 0.14882496734342965
Iteration: 945 2.718281828459045 2.5720271029668034 0.14625472549224172
Iteration: 946 2.718281828459045 2.5745999163453916 0.14368191211365344
Iteration: 947 2.718281828459045 2.5771753038241942 0.14110652463485085
Iteration: 948 2.718281828459045 2.5797532679785986 0.13852856048044648
Iteration: 949 2.718281828459045 2.5823338113865693 0.13594801707247584
Iteration: 950 2.718281828459045 2.58491693662865 0.13336489183039513
Iteration: 951 2.718281828459045 2.587502646287966 0.1307791821710791
Iteration: 952 2.718281828459045 2.5900909429502272 0.12819088550881785
Iteration: 953 2.718281828459045 2.5926818292037304 0.12559999925531473
Iteration: 954 2.718281828459045 2.595275307639362 0.12300652081968311
Iteration: 955 2.718281828459045 2.597871380850601 0.12041044760844422
Iteration: 956 2.718281828459045 2.6004700514335206 0.11781177702552448
Iteration: 957 2.718281828459045 2.6030713219867914 0.11521050647225373
Iteration: 958 2.718281828459045 2.6056751951116843 0.11260663334736076
Iteration: 959 2.718281828459045 2.608281673412073 0.11000015504697203
Iteration: 960 2.718281828459045 2.6108907594944357 0.10739106896460937
Iteration: 961 2.718281828459045 2.613502455967859 0.10477937249118607
Iteration: 962 2.718281828459045 2.616116765444039 0.10216506301500594
Iteration: 963 2.718281828459045 2.618733690537286 0.09954813792175887
Iteration: 964 2.718281828459045 2.621353233864525 0.09692859459451997
Iteration: 965 2.718281828459045 2.6239753980452996 0.09430643041374553
Iteration: 966 2.718281828459045 2.6266001857017742 0.09168164275727086
Iteration: 967 2.718281828459045 2.6292275994587366 0.08905422900030846
Iteration: 968 2.718281828459045 2.631857641943601 0.08642418651544403
Iteration: 969 2.718281828459045 2.63449031578641 0.08379151267263518
Iteration: 970 2.718281828459045 2.6371256236198373 0.08115620483920782
Iteration: 971 2.718281828459045 2.6397635680791915 0.07851826037985354
Iteration: 972 2.718281828459045 2.642404151802417 0.07587767665662826
Iteration: 973 2.718281828459045 2.6450473774300978 0.07323445102894732
Iteration: 974 2.718281828459045 2.6476932476054595 0.07058858085358555
Iteration: 975 2.718281828459045 2.6503417649743732 0.06794006348467185
Iteration: 976 2.718281828459045 2.652992932185356 0.06528889627368928
Iteration: 977 2.718281828459045 2.655646751889575 0.0626350765694701
Iteration: 978 2.718281828459045 2.6583032267408506 0.05997860171819447
Iteration: 979 2.718281828459045 2.6609623593956577 0.05731946906338736
Iteration: 980 2.718281828459045 2.6636241525131292 0.05465767594591586
Iteration: 981 2.718281828459045 2.6662886087550586 0.051993219703986515
Iteration: 982 2.718281828459045 2.6689557307859024 0.049326097673142666
Iteration: 983 2.718281828459045 2.6716255212727824 0.04665630718626268
Iteration: 984 2.718281828459045 2.6742979828854896 0.0439838455735555
Iteration: 985 2.718281828459045 2.6769731182964858 0.041308710162559326
Iteration: 986 2.718281828459045 2.6796509301809066 0.03863089827813848
Iteration: 987 2.718281828459045 2.6823314212165643 0.035950407242480775
Iteration: 988 2.718281828459045 2.6850145940839503 0.03326723437509482
Iteration: 989 2.718281828459045 2.6877004514662373 0.03058137699280783
Iteration: 990 2.718281828459045 2.690388996049283 0.027892832409762036
Iteration: 991 2.718281828459045 2.693080230521632 0.025201597937412945
Iteration: 992 2.718281828459045 2.6957741575745198 0.02250767088452532
Iteration: 993 2.718281828459045 2.698470779901873 0.019811048557172306
Iteration: 994 2.718281828459045 2.7011701002003137 0.017111728258731418
Iteration: 995 2.718281828459045 2.703872121169163 0.01440970728988189
Iteration: 996 2.718281828459045 2.7065768455104426 0.01170498294860245
Iteration: 997 2.718281828459045 2.7092842759288764 0.008997552530168651
Iteration: 998 2.718281828459045 2.7119944151318953 0.006287413327149771
Iteration: 999 2.718281828459045 2.7147072658296385 0.0035745626294065858
Iteration: 1000 2.718281828459045 2.7174228307349573 0.0008589977240878177