Уравнение 1X1

[EXE]

Это для желающим размяться в вычислениях.
$0.995-\cos(0.25\cdot x)\cdot \sin(x^3)=0; 0< x; $
Каким у кого получится такое максимальное значение $x$, что в его окрестности ещё реально не пропустить ни одного решения от 100 решений подряд с невязкой хотя бы от 5-о знака после запятой?

[EXE]

EXE в сообщении #1685866 писал(а):

для желающим

"для" вовремя не убрал.

На текущий момент у меня это точка 16198.00999971410004090127.
И, похоже, подряд все решения в окрестности.
-8 показатель степени 10 , множителя невязки.

(Оффтоп)

-8
1, [16198.00999991391368155614], 5.34731277828109204 10
-8
2, [16198.00999991366086901181], 5.50539999705422920 10
-8
3, [16198.00999990593124844762], 5.31060993583809314 10
-8
4, [16198.00999990567843575638], 4.38936780839647477 10
-8
5, [16198.00999989794881537776], 4.97157168221656746 10
-8
6, [16198.00999989769600256661], 3.78675312365516669 10
-8
7, [16198.00999988996638227971], 4.85288324741457120 10
-8
8, [16198.00999988971356942973], 3.59772187611778547 10
-8
9, [16198.00999988198394917204], 4.80934659917760076 10
-8
10, [16198.00999988173113630931], 3.53743018641928857 10
-8
11, [16198.00999987400151606135], 4.78936069134073674 10
-8
12, [16198.00999987374870319354], 3.51356223163837085 10
-8
13, [16198.00999986601908295000], 4.77447032515529889 10
-8
14, [16198.00999986576627007882], 3.49795840213674033 10
-8
15, [16198.00999985803664983836], 4.76178504694001007 10
-8
16, [16198.00999985778383696441], 3.48484771590281785 10
-8
17, [16198.00999985005421672628], 4.75247693085782717 10
-8
18, [16198.00999984980140385050], 3.47571016678790886 10
-8
19, [16198.00999984207178361520], 4.73529207902952317 10
-8
20, [16198.00999984181897073552], 3.45825882664248895 10
-8
21, [16198.00999983408935050376], 4.72086855375258167 10
-8
22, [16198.00999983383653762092], 3.44384693623916042 10
-8
23, [16198.00999982610691739267], 4.70363403655577144 10
-8
24, [16198.00999982585410450596], 3.42667371451858662 10
-8
25, [16198.00999981812448428136], 4.68805830165114784 10
-8
26, [16198.00999981787167139120], 3.41112947869426237 10
-8
27, [16198.00999981014205117006], 4.67235343935114371 10
-8
28, [16198.00999980988923827642], 3.39549584668822266 10
-8
29, [16198.00999980215961805854], 4.65829742659835613 10
-8
30, [16198.00999980190680516185], 3.38156073057893743 10
-8
31, [16198.00999979417718494709], 4.64363551053921396 10
-8
32, [16198.00999979392437204718], 3.36691044909093373 10
-8
33, [16198.00999978619475183582], 4.62750353473495592 10
-8
34, [16198.00999978594193893229], 3.35059144906212571 10
-8
35, [16198.00999977821231872403], 4.61538442266138581 10
-8
36, [16198.00999977795950581794], 3.33856343759437674 10
-8
37, [16198.00999977022988561223], 4.60327524292272789 10
-8
38, [16198.00999976997707270355], 3.32628710449679494 10
-8
39, [16198.00999976224745250059], 4.58985492877329898 10
-8
40, [16198.00999976199463958904], 3.31312674765168984 10
-8
41, [16198.00999975426501938888], 4.57691139007231387 10
-8
42, [16198.00999975401220647450], 3.29979753191184366 10
-8
43, [16198.00999974628258627778], 4.55915042688781753 10
-8
44, [16198.00999974602977335943], 3.28238591605824518 10
-8
45, [16198.00999973830015316586], 4.54772661056072174 10
-8
46, [16198.00999973804734024510], 3.27082474578484243 10
-8
47, [16198.00999973031772005399], 4.53585581625833185 10
-8
48, [16198.00999973006490713073], 3.25900532103058505 10
-8
49, [16198.00999972233528694225], 4.52291227547293142 10
-8
50, [16198.00999972208247401619], 3.24591449149220511 10
-8
51, [16198.00999971435285383089], 4.50692928716039741 10
-8
52, [16198.00999971410004090127], 3.22992327035516322 10
-8
53, [16198.00999970637042071952], 4.49096616392405811 10
-8
54, [16198.00999970611760778636], 3.21407110847549367 10
-8
55, [16198.00999969838798760829], 4.47385083139148097 10
-8
56, [16198.00999969813517467128], 3.19694754166143549 10
-8
57, [16198.00999969040555449668], 4.45963588570858791 10
-8
58, [16198.00999969015274155658], 3.18286342528408667 10
-8
59, [16198.00999968242312138534], 4.44325558168418924 10
-8
60, [16198.00999968217030844156], 3.16632589522529872 10
-8
61, [16198.00999967444068827401], 4.42673621738043432 10
-8
62, [16198.00999967418787532655], 3.14993735726296607 10
-8
63, [16198.00999966645825516182], 4.41687185138309064 10
-8
64, [16198.00999966620544221236], 3.14002503493410769 10
-8
65, [16198.00999965847582205001], 4.40397797047999801 10
-8
66, [16198.00999965822300909776], 3.12696399963271978 10
-8
67, [16198.00999965049338893867], 4.38734934332869474 10
-8
68, [16198.00999965024057598272], 3.11052579576853115 10
-8
69, [16198.00999964251095582723], 4.37144581249092756 10
-8
70, [16198.00999964225814286774], 3.09461403221005640 10
-8
71, [16198.00999963452852271493], 4.36219728028790260 10
-8
72, [16198.00999963427570975360], 3.08533741016086194 10
-8
73, [16198.00999962654608960349], 4.34616462151357626 10
-8
74, [16198.00999962629327663859], 3.06931638419398698 10
-8
75, [16198.00999961856365649186], 4.33156229037267817 10
-8
76, [16198.00999961831084352375], 3.05468595631195078 10
-8
77, [16198.00999961058122337997], 4.31892666000943755 10
-8
78, [16198.00999961032841040916], 3.04207189597845018 10
-8
79, [16198.00999960259879026831], 4.30442365613639439 10
-8
80, [16198.00999960234597729436], 3.02786857947255840 10
-8
81, [16198.00999959461635715604], 4.29463874844316951 10
-8
82, [16198.00999959436354418006], 3.01764833447541778 10
-8
83, [16198.00999958663392404421], 4.28134754943485343 10
-8
84, [16198.00999958638111106537], 3.00443830174066796 10
-8
85, [16198.00999957865149093268], 4.26565260372807857 10
-8
86, [16198.00999957839867795036], 2.98878478782106831 10
-8
87, [16198.00999957066905782113], 4.25004705295869145 10
-8
88, [16198.00999957041624483536], 2.97327033319697703 10
-8
89, [16198.00999956268662470927], 4.23681544934302250 10
-8
90, [16198.00999956243381172061], 2.95978217908859807 10
-8
91, [16198.00999955470419159719], 4.22523269594860785 10
-8
92, [16198.00999955445137860613], 2.94845938544593825 10
-8
93, [16198.00999954672175848527], 4.21233880772927897 10
-8
94, [16198.00999954646894549142], 2.93539834280176317 10
-8
95, [16198.00999953873932537314], 4.20102423991992321 10
-8
96, [16198.00999953848651237695], 2.92427420515418219 10
-8
97, [16198.00999953075689226129], 4.18745491783492526 10
-8
98, [16198.00999953050407926215], 2.91062712341149267 10
-8
99, [16198.00999952277445914978], 4.17117393092865931 10
-8
100, [16198.00999952252164614702], 2.89447696318356647 10
-8
101, [16198.00999951479202603741], 4.16155787661888135 10
-8
102, [16198.00999951453921303269], 2.88462422871920884 10
-8
103, [16198.00999950680959292564], 4.14718399320905082 10
-8
104, [16198.00999950655677991778], 2.87031164450011727 10
-8
105, [16198.00999949882715981440], 4.12859858653619142 10
-8
106, [16198.00999949857434680230], 2.85159880745782075 10

[EXE]

На всякий случай выборочно проверил невязки на ВМ Альфа - один в один.
Здесь 60 решений подряд.

(Оффтоп)

-9
1, [30046.000000017883711676958], 2.48625606406641215 10
-9
2, [30046.000000017818881601416], 1.13560906698088810 10
-9
3, [30046.000000015563726081771], 1.82842196493634069 10
-10
4, [30046.000000015498896016551], 5.9915391163568340 10
-9
5, [30046.000000013243740493030], 2.69947845723464058 10
-9
6, [30046.000000013178910416237], 1.33014759065593909 10
-9
7, [30046.000000010923754898240], 2.13587542721622002 10
-10
8, [30046.000000010858924830650], 2.3358080327503972 10
-9
9, [30046.000000008603769309107], 2.91418963614827409 10
-9
10, [30046.000000008538939230964], 1.54657995536887489 10
-9
11, [30046.000000006283783714338], 2.35575354072204599 10
-11
12, [30046.000000006218953645396], 2.178996357388166 10
-9
13, [30046.000000003963798125296], 3.15578645717036758 10
-9
14, [30046.000000003898968045582], 1.78858432723125580 10
-9
15, [30046.000000001643812530499], 2.59086977165515907 10
-10
16, [30046.000000001578982460038], 2.1425924778184947 10
-9
17, [30045.999999999323826941523], 3.40666627309274929 10
-9
18, [30045.999999999258996860166], 2.03829533600859274 10
-9
19, [30045.999999997003841346690], 2.83342991385815442 10
-10
20, [30045.999999996939011274654], 4.5626358746198898 10
-9
21, [30045.999999994683855757709], 3.64826310596225994 10
-9
22, [30045.999999994619025674785], 2.27933639081103865 10
-9
23, [30045.999999992363870163002], 3.10506508285604826 10
-10
24, [30045.999999992299040089137], 7.2935717770207058 10
-9
25, [30045.999999990043884573982], 3.91079045882638017 10
-9
26, [30045.999999989979054489309], 2.54253401687063947 10
-9
27, [30045.999999987723898979199], 3.34972704627747644 10
-10
28, [30045.999999987659068903741], 9.7346333794547554 10
-9
29, [30045.999999985403913390223], 4.16613663777049867 10
-9
30, [30045.999999985339083303864], 2.79811259352037607 10
-9
31, [30045.999999983083927795427], 3.60209564811096539 10
-9
32, [30045.999999983019097718310], 1.22553886022276640 10
-9
33, [30045.999999980763942206360], 4.39704929284595938 10
-9
34, [30045.999999980699112118521], 3.02917007528728564 10
-9
35, [30045.999999978443956611592], 3.83992674471141484 10
-9
36, [30045.999999978379126532936], 1.46377748448590515 10
-9
37, [30045.999999976123971022470], 4.62191925204948799 10
-9
38, [30045.999999976059140933199], 3.25488546517233265 10
-9
39, [30045.999999973803985427624], 4.04649343886729339 10
-9
40, [30045.999999973739155347698], 1.66935051043063816 10
-9
41, [30045.999999971483999838616], 4.85572190519939707 10
-9
42, [30045.999999971419169747844], 3.48804476623680629 10
-9
43, [30045.999999969164014243782], 4.28327364149869573 10
-9
44, [30045.999999969099184162324], 1.90688854244306433 10
-9
45, [30045.999999966844028654758], 5.08891153610919541 10
-9
46, [30045.999999966779198562487], 3.72137922345176659 10
-9
47, [30045.999999964524043059956], 4.52416989241877796 10
-9
48, [30045.999999964459212976939], 2.14670353916665096 10
-9
49, [30045.999999962204057471020], 5.35091347431557120 10
-9
50, [30045.999999962139227377008], 3.98326325674785014 10
-9
51, [30045.999999959884071876186], 4.77872790822900469 10
-9
52, [30045.999999959819241791484], 2.40271998172058493 10
-9
53, [30045.999999957564086287135], 5.57832314112522166 10
-9
54, [30045.999999957499256191674], 4.21046744940703481 10
-9
55, [30045.999999955244100692280], 5.00140849178567145 10
-9
56, [30045.999999955179270606169], 2.62528264554636490 10
-9
57, [30045.999999952924115103271], 5.81107491186386960 10
-9
58, [30045.999999952859285006315], 4.44327647116062630 10
-9
59, [30045.999999950604129508442], 5.24046567688836261 10
-9
60, [30045.999999950539299420785], 2.86378402908456065 10