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rmserror_short.txt
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rmserror_short.txt
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Base input function:
(0.5+sin(time*50)*pow(2,-time)) + (0.2+sin(time*500)*0.2*pow(2,-time))
two sinusoids without noise
---------------------------
Lipschitz's constant C = 144.856719, sr = 1000.000000
Lipschitz's constant C = 148.441026, sr = 2000.000000
Lipschitz's constant C = 149.479232, sr = 4000.000000
Lipschitz's constant C = 149.710668, sr = 6000.000000
Lipschitz's constant C = 149.804731, sr = 8000.000000
Lipschitz's constant C = 149.854223, sr = 10000.000000
Lipschitz's constant C = 149.937558, sr = 20000.000000
Lipschitz's constant C = 149.971393, sr = 40000.000000
Lipschitz's constant C = 149.981509, sr = 60000.000000
Lipschitz's constant C = 149.986350, sr = 80000.000000
{'bf-foaw16': [(1000.0, 1.9702258422138339e-12),
(2000.0, 5.4388946385508004e-12),
(4000.0, 1.5810413113850575e-11),
(6000.0, 2.8573031344375584e-11),
(8000.0, 4.5002539894573038e-11),
(10000.0, 6.0522620757366041e-11),
(20000.0, 1.7226568764137239e-10),
(40000.0, 4.8905545953918461e-10),
(60000.0, 9.0734466560047842e-10),
(80000.0, 1.3873479008767754e-09),
(100000.0, 1.9496105895388441e-09)],
'bw2-300': [(1000.0, 0.08699625570268453),
(2000.0, 0.16466086240678132),
(4000.0, 0.24653010955768453),
(6000.0, 0.30497526946194514),
(8000.0, 0.35337534887832667),
(10000.0, 0.39571444629082186),
(20000.0, 0.56080169987501594),
(40000.0, 0.79350120003699465),
(60000.0, 0.97192610624643105),
(80000.0, 1.1223186700699681),
(100000.0, 1.2548079906685359)],
'ef-foaw16': [(1000.0, 1.0926673691465038e-12),
(2000.0, 3.0238192836052313e-12),
(4000.0, 9.0090030857581497e-12),
(6000.0, 1.5924843934242909e-11),
(8000.0, 2.5644053840834361e-11),
(10000.0, 3.5305716485773622e-11),
(20000.0, 9.6803757284446716e-11),
(40000.0, 2.7690003020104327e-10),
(60000.0, 5.2453462424048428e-10),
(80000.0, 7.8540103224450675e-10),
(100000.0, 1.1166844459830958e-09)],
'fd': [(1000.0, 1.0926673691465038e-12),
(2000.0, 3.0238192836052313e-12),
(4000.0, 9.0090030857581497e-12),
(6000.0, 1.5924843934242909e-11),
(8000.0, 2.5644053840834361e-11),
(10000.0, 3.5305716485773622e-11),
(20000.0, 9.6803757284446716e-11),
(40000.0, 2.7690003020104327e-10),
(60000.0, 5.2453462424048428e-10),
(80000.0, 7.8540103224450675e-10),
(100000.0, 1.1166844459830958e-09)],
'levant1': [(1000.0, 4.4593133224054338),
(2000.0, 3.2733377486767501),
(4000.0, 2.5452303873700188),
(6000.0, 1.9386258964698317),
(8000.0, 1.7935798947114505),
(10000.0, 1.5266958665073649),
(20000.0, 1.1049712447051212),
(40000.0, 0.77660777980101536),
(60000.0, 0.63513419913779345),
(80000.0, 0.55156800355793945),
(100000.0, 0.49184059321794016)],
'levant2': [(1000.0, 1.7446010351249253),
(2000.0, 1.2763812265699315),
(4000.0, 0.61472158450712),
(6000.0, 0.71121420123325396),
(8000.0, 0.45873509147327107),
(10000.0, 0.52561730380245575),
(20000.0, 0.33673810122216169),
(40000.0, 0.24762270081035695),
(60000.0, 0.20091788296875421),
(80000.0, 0.17323067802498957),
(100000.0, 0.15704465814833368)],
'levant4': [(1000.0, 0.35904834852628609),
(2000.0, 0.25353155504378749),
(4000.0, 0.16557717459393706),
(6000.0, 0.13902605893007317),
(8000.0, 0.12201691031816589),
(10000.0, 0.11249121358111883),
(20000.0, 0.083411647540811137),
(40000.0, 0.061665365782732857),
(60000.0, 0.051547332008355894),
(80000.0, 0.045471260408054041),
(100000.0, 0.04113820117539136)]}
two sinusoids with noise = 1e-05
--------------------------------
Lipschitz's constant C = 144.856719, sr = 1000.000000
Lipschitz's constant C = 148.441026, sr = 2000.000000
Lipschitz's constant C = 149.479232, sr = 4000.000000
Lipschitz's constant C = 149.710668, sr = 6000.000000
Lipschitz's constant C = 149.804731, sr = 8000.000000
Lipschitz's constant C = 149.854223, sr = 10000.000000
Lipschitz's constant C = 149.937558, sr = 20000.000000
Lipschitz's constant C = 149.971393, sr = 40000.000000
Lipschitz's constant C = 149.981509, sr = 60000.000000
Lipschitz's constant C = 149.986350, sr = 80000.000000
Lipschitz's constant C = 149.989184, sr = 100000.000000
{'bf-foaw16': [(1000.0, 0.098129374812280248),
(2000.0, 0.18615221695678102),
(4000.0, 0.2769439545252419),
(6000.0, 0.33014529895064226),
(8000.0, 0.354022205682264),
(10000.0, 0.35586247000067661),
(20000.0, 0.47608550352789858),
(40000.0, 1.1741667299467915),
(60000.0, 2.1294567600766827),
(80000.0, 3.2907903569908954),
(100000.0, 4.5243321983812157)],
'bw2-300': [(1000.0, 0.10951451160298188),
(2000.0, 0.18499201290702597),
(4000.0, 0.26558738254286485),
(6000.0, 0.32226786798979412),
(8000.0, 0.36892733105550779),
(10000.0, 0.4101171391872101),
(20000.0, 0.5732158997651543),
(40000.0, 0.80234520600804327),
(60000.0, 0.97929648817640746),
(80000.0, 1.1289837922562076),
(100000.0, 1.2582742528881179)],
'ef-foaw16': [(1000.0, 0.097320582319363289),
(2000.0, 0.17770401536625435),
(4000.0, 0.26166303094132048),
(6000.0, 0.32114078473284025),
(8000.0, 0.36484393099657325),
(10000.0, 0.40346097531473424),
(20000.0, 0.73214605742912542),
(40000.0, 1.9586650502685428),
(60000.0, 3.5766259167358951),
(80000.0, 5.5147315782279982),
(100000.0, 7.6982081557649558)],
'fd': [(1000.0, 0.11414622039540996),
(2000.0, 0.32101803791882066),
(4000.0, 0.94651817441007369),
(6000.0, 1.7007774215117006),
(8000.0, 2.6320758314035633),
(10000.0, 3.6423032206713843),
(20000.0, 10.339817377615743),
(40000.0, 29.249989530056023),
(60000.0, 54.050870333929083),
(80000.0, 83.066155250004698),
(100000.0, 115.14394053071636)],
'levant1': [(1000.0, 4.4558933677529549),
(2000.0, 3.2662551321977014),
(4000.0, 2.5899071089729477),
(6000.0, 2.2146049298891022),
(8000.0, 2.1397198081463356),
(10000.0, 2.1756689233164512),
(20000.0, 2.5477654444228861),
(40000.0, 3.5016987822522774),
(60000.0, 4.2540608197622589),
(80000.0, 4.9092544182949283),
(100000.0, 5.4824359102207412)],
'levant2': [(1000.0, 1.7448028474832742),
(2000.0, 1.332839078469116),
(4000.0, 1.3304804939439723),
(6000.0, 1.4843850205313258),
(8000.0, 1.624497092722043),
(10000.0, 1.7923710311501233),
(20000.0, 2.4145510369669005),
(40000.0, 3.4365673837607607),
(60000.0, 4.2080916362616625),
(80000.0, 4.8946875124645199),
(100000.0, 5.4992144981402884)],
'levant4': [(1000.0, 0.37821640751112279),
(2000.0, 0.32451050709978618),
(4000.0, 0.51201758902785999),
(6000.0, 0.83793537347883507),
(8000.0, 1.1408313162123147),
(10000.0, 1.3435449722480426),
(20000.0, 1.9571539982845045),
(40000.0, 2.8072239297956987),
(60000.0, 3.5229543670302168),
(80000.0, 4.2706243745531491),
(100000.0, 4.9719071530276917)]}
two sinusoids with noise = 1e-06
--------------------------------
Lipschitz's constant C = 144.856719, sr = 1000.000000
Lipschitz's constant C = 148.441026, sr = 2000.000000
Lipschitz's constant C = 149.479232, sr = 4000.000000
Lipschitz's constant C = 149.710668, sr = 6000.000000
Lipschitz's constant C = 149.804731, sr = 8000.000000
Lipschitz's constant C = 149.854223, sr = 10000.000000
Lipschitz's constant C = 149.937558, sr = 20000.000000
Lipschitz's constant C = 149.971393, sr = 40000.000000
Lipschitz's constant C = 149.981509, sr = 60000.000000
Lipschitz's constant C = 149.986350, sr = 80000.000000
Lipschitz's constant C = 149.989184, sr = 100000.000000
{'bf-foaw16': [(1000.0, 0.01286731049973272),
(2000.0, 0.034877156552935551),
(4000.0, 0.075509920173455758),
(6000.0, 0.10525618989262187),
(8000.0, 0.1265672310735626),
(10000.0, 0.14547023748182208),
(20000.0, 0.1937371910142581),
(40000.0, 0.20982788669874447),
(60000.0, 0.25845986281309119),
(80000.0, 0.34983198803138971),
(100000.0, 0.46997769769812225)],
'bw2-300': [(1000.0, 0.087393690955066189),
(2000.0, 0.16491046611037183),
(4000.0, 0.24660900371776698),
(6000.0, 0.3052608522165941),
(8000.0, 0.35347086986273346),
(10000.0, 0.39601073857619457),
(20000.0, 0.56092453443760704),
(40000.0, 0.79376033543372393),
(60000.0, 0.97212965395536588),
(80000.0, 1.1224564539474606),
(100000.0, 1.2550584591068938)],
'ef-foaw16': [(1000.0, 0.012813343775780335),
(2000.0, 0.034403946127347436),
(4000.0, 0.073043117401682331),
(6000.0, 0.10048448608310805),
(8000.0, 0.12073512399289596),
(10000.0, 0.13774523129973815),
(20000.0, 0.19141965736622379),
(40000.0, 0.26226899590269426),
(60000.0, 0.38836369474251742),
(80000.0, 0.56401893539009651),
(100000.0, 0.77913491892609055)],
'fd': [(1000.0, 0.011637635220858521),
(2000.0, 0.032255032041536867),
(4000.0, 0.091573689274900991),
(6000.0, 0.16956643691616113),
(8000.0, 0.25857898706624793),
(10000.0, 0.36600189974386471),
(20000.0, 1.026396014444767),
(40000.0, 2.912739335930882),
(60000.0, 5.373286087713355),
(80000.0, 8.2625349341189374),
(100000.0, 11.51500183411077)],
'levant1': [(1000.0, 4.4656439822078511),
(2000.0, 3.2656918251259937),
(4000.0, 2.5457578035739914),
(6000.0, 1.9411475545774499),
(8000.0, 1.7953424097392094),
(10000.0, 1.531141507630996),
(20000.0, 1.2378138617056567),
(40000.0, 1.2495172925215108),
(60000.0, 1.4198017480461775),
(80000.0, 1.5963295413025238),
(100000.0, 1.7647629274405028)],
'levant2': [(1000.0, 1.7422750467219059),
(2000.0, 1.2780475956857205),
(4000.0, 0.6400571636997977),
(6000.0, 0.76199393036245289),
(8000.0, 0.73611813491074607),
(10000.0, 0.69993708222154216),
(20000.0, 0.83821636436239655),
(40000.0, 1.1092542944227899),
(60000.0, 1.3486302578898148),
(80000.0, 1.5445803554865845),
(100000.0, 1.7267243867868454)],
'levant4': [(1000.0, 0.35911498183422702),
(2000.0, 0.25427198705674736),
(4000.0, 0.17994982716890978),
(6000.0, 0.16321155598735981),
(8000.0, 0.16716058166411851),
(10000.0, 0.18357161605339498),
(20000.0, 0.29758938867258056),
(40000.0, 0.76672890343354305),
(60000.0, 1.0171958506413459),
(80000.0, 1.1843343337293666),
(100000.0, 1.3286525085348029)]}
two sinusoids + noise=1e-05 + discontinuity
-------------------------------------------
Lipschitz's constant C = 688.194179, sr = 1000.000000
Lipschitz's constant C = 1377.604799, sr = 2000.000000
Lipschitz's constant C = 2757.009157, sr = 4000.000000
Lipschitz's constant C = 4136.542185, sr = 6000.000000
Lipschitz's constant C = 5516.107056, sr = 8000.000000
Lipschitz's constant C = 6895.684597, sr = 10000.000000
Lipschitz's constant C = 13793.629048, sr = 20000.000000
Lipschitz's constant C = 27589.574454, sr = 40000.000000
Lipschitz's constant C = 41385.532368, sr = 60000.000000
Lipschitz's constant C = 55181.493404, sr = 80000.000000
Lipschitz's constant C = 68977.455688, sr = 100000.000000
{'bf-foaw16': [(1000.0, 0.091150235349874251),
(2000.0, 0.17378146204071301),
(4000.0, 0.27026296575105591),
(6000.0, 0.32639557271237812),
(8000.0, 0.3502330903529236),
(10000.0, 0.36014347817560388),
(20000.0, 0.48347476946879381),
(40000.0, 1.2436010822186492),
(60000.0, 2.2187201995498618),
(80000.0, 3.4081724079360494),
(100000.0, 4.6813203943934827)],
'bw2-300': [(1000.0, 0.44053723981063819),
(2000.0, 0.7241764551173735),
(4000.0, 1.0606161323417684),
(6000.0, 1.303060391781151),
(8000.0, 1.501592376137753),
(10000.0, 1.6834530410158022),
(20000.0, 2.3770795496178843),
(40000.0, 3.3665111031502355),
(60000.0, 4.1175504216168681),
(80000.0, 4.7553211340198063),
(100000.0, 5.3169705735174144)],
'ef-foaw16': [(1000.0, 0.090196541075450179),
(2000.0, 0.16914063179025349),
(4000.0, 0.25543615572158845),
(6000.0, 0.31868225717773202),
(8000.0, 0.36298305210739701),
(10000.0, 0.40656243499007372),
(20000.0, 0.73625376080587301),
(40000.0, 1.9869782061281751),
(60000.0, 3.6251379226084515),
(80000.0, 5.5808204296217996),
(100000.0, 7.7886926635206661)],
'fd': [(1000.0, 0.11491693104721257),
(2000.0, 0.3297612404302423),
(4000.0, 0.93594830197696599),
(6000.0, 1.6944367771062356),
(8000.0, 2.6233061247900342),
(10000.0, 3.6121694917808385),
(20000.0, 10.384511253037797),
(40000.0, 29.184557745479331),
(60000.0, 53.858238696828749),
(80000.0, 82.723027424807512),
(100000.0, 115.50783922341542)],
'levant1': [(1000.0, 24.725606470370753),
(2000.0, 35.005296181411275),
(4000.0, 49.532168889023694),
(6000.0, 60.699206695140873),
(8000.0, 70.095464313010211),
(10000.0, 78.355584303311915),
(20000.0, 110.75536027528254),
(40000.0, 156.19322112427685),
(60000.0, 190.20106650096074),
(80000.0, 217.66321147985099),
(100000.0, 241.28117069247025)],
'levant2': [(1000.0, 11.341194155597222),
(2000.0, 16.075429400772578),
(4000.0, 22.754767653651513),
(6000.0, 27.937303244600258),
(8000.0, 32.253331008340211),
(10000.0, 36.117107056630061),
(20000.0, 50.441339549239302),
(40000.0, 75.580955822724576),
(60000.0, 102.99195320247858),
(80000.0, 130.71398040654384),
(100000.0, 157.71304125648911)],
'levant4': [(1000.0, 2.6361042816602493),
(2000.0, 4.0840185059482828),
(4000.0, 6.5494330241460235),
(6000.0, 8.2353141804129173),
(8000.0, 9.7309720935270203),
(10000.0, 11.471937546872599),
(20000.0, 19.926800254283151),
(40000.0, 41.047026638065425),
(60000.0, 68.968178751896147),
(80000.0, 96.275353379133463),
(100000.0, 122.85540724434895)]}