# Created by InverseTest.java -> test2()
# name: Phi_CDF
# type: matrix
# rows: 600
# columns: 4

+------+----------------+--------------------------------+-------------------------------------+
|   x  |  normalCDF(x)  |  Phi_inverse_ap(normalCDF(x))  |   x - Phi_inverse_ap(normalCDF(x))  |
+------+----------------+--------------------------------+-------------------------------------+

0.0 0.5 0.0 0.0
0.01 0.5039893563146316 0.009999999999999998 3.706770804235682E-19
0.02 0.5079783137169019 0.0200001975986846 -1.9759868459994612E-7
0.03 0.5119664734141126 0.03000018569836247 -1.8569836247109782E-7
0.04 0.5159534368528308 0.04000017449592327 -1.7449592326621598E-7
0.05 0.5199388058383725 0.050000163951544094 -1.639515440900876E-7
0.06 0.5239221826541068 0.06000015402761021 -1.5402761021642493E-7
0.07 0.5279031701805211 0.07000014468859637 -1.446885963645132E-7
0.08 0.5318813720139873 0.08000013590095414 -1.3590095414407523E-7
0.09 0.5358563925851721 0.09000012763300537 -1.276330053603214E-7
0.1 0.539827837277029 0.10000011985484089 -1.1985484088581502E-7
0.11 0.5437953125423168 0.11000011253822482 -1.1253822481979111E-7
0.12 0.5477584260205839 0.12000010565650367 -1.0565650366894143E-7
0.13 0.5517167866545611 0.1300000991845203 -9.918452029645486E-8
0.14 0.5556700048059064 0.1400000930985324 -9.30985323982959E-8
0.15 0.5596176923702425 0.1500000873761353 -8.73761352773464E-8
0.16 0.5635594628914329 0.1600000819961887 -8.199618869714633E-8
0.17 0.5674949316750385 0.1700000769387476 -7.693874760757138E-8
0.18 0.5714237159009007 0.18000007218499656 -7.218499654490007E-8
0.19 0.5753454347347955 0.19000006771718753 -6.771718751837274E-8
0.2 0.579259709439103 0.2000000635185812 -6.351858120454684E-8
0.21 0.5831661634824422 0.2100000595733913 -5.957339127952889E-8
0.22 0.5870644226482146 0.22000005586673174 -5.586673172753017E-8
0.23 0.5909541151420059 0.23000005238456697 -5.2384566972169554E-8
0.24 0.5948348716977959 0.24000004911366468 -4.911366468454867E-8
0.25 0.5987063256829237 0.2500000460415511 -4.604155112936939E-8
0.26 0.6025681132017605 0.2600000431564689 -4.315646891726618E-8
0.27 0.6064198731980396 0.27000004044733705 -4.044733703810221E-8
0.28 0.6102612475557972 0.28000003790371303 -3.790371305624164E-8
0.29 0.6140918811988774 0.29000003551575737 -3.551575735477597E-8
0.3 0.6179114221889527 0.30000003327419933 -3.327419932136312E-8
0.31 0.6217195218220192 0.3100000311703054 -3.117030537374566E-8
0.32 0.62551583472332 0.3200000291958487 -2.9195848728163378E-8
0.33 0.6293000189406536 0.3300000273430808 -2.734308081877517E-8
0.34 0.6330717360360281 0.34000002560470427 -2.5604704280868633E-8
0.35 0.6368306511756191 0.3500000239738474 -2.3973847415072668E-8
0.36 0.6405764332179912 0.36000002244404006 -2.2444040054009953E-8
0.37 0.6443087548005467 0.3700000210091907 -2.1009190756841297E-8
0.38 0.6480272924241628 0.3800000196635653 -1.9663565260973273E-8
0.39 0.6517317265359823 0.3900000184017661 -1.8401766123832173E-8
0.4 0.6554217416103242 0.4000000172187135 -1.721871349106052E-8
0.41 0.6590970262276773 0.41000001610962694 -1.6109626930775395E-8
0.42 0.6627572731517506 0.4200000150700083 -1.5070008276648473E-8
0.43 0.6664021794045423 0.4300000140956254 -1.4095625425533437E-8
0.44 0.6700314463394064 0.44000001318249704 -1.3182497038185099E-8
0.45 0.67364477971208 0.4500000123268781 -1.232687809429254E-8
0.46 0.6772418897496523 0.4600000115252463 -1.1525246255592785E-8
0.47 0.6808224912174442 0.470000010774289 -1.0774288993248365E-8
0.48 0.6843863034837774 0.48000001007089144 -1.00708914379675E-8
0.49 0.6879330505826095 0.49000000941212496 -9.412124913525494E-9
0.5 0.6914624612740131 0.5000000087952361 -8.795236116415797E-9
0.51 0.6949742691024805 0.5100000082176369 -8.217636906324187E-9
0.52 0.6984682124530338 0.5200000076768947 -7.676894673985072E-9
0.53 0.7019440346051236 0.5300000071707233 -7.170723254749383E-9
0.54 0.705401483784302 0.5400000066969743 -6.696974357873946E-9
0.55 0.7088403132116536 0.5500000062536294 -6.2536294831366E-9
0.56 0.712260281150973 0.5600000058387923 -5.838792297894289E-9
0.57 0.7156611509536759 0.5700000054506814 -5.450681449136391E-9
0.58 0.7190426911014357 0.5800000050876238 -5.087623786446977E-9
0.59 0.7224046752465351 0.5900000047480479 -4.748047973080768E-9
0.6 0.7257468822499265 0.6000000044304784 -4.430478463581924E-9
0.61 0.7290690962169943 0.6100000041335297 -4.133529827535834E-9
0.62 0.7323711065310169 0.6200000038559014 -3.8559014001446275E-9
0.63 0.7356527078843224 0.6300000035963722 -3.5963722413606204E-9
0.64 0.7389137003071384 0.6400000033537964 -3.3537963863008185E-9
0.65 0.7421538891941353 0.6500000031270983 -3.1270983706028787E-9
0.66 0.7453730853286639 0.6600000029152691 -2.9152690152711195E-9
0.67 0.7485711049046899 0.6700000027173615 -2.7173614564026735E-9
0.68 0.7517477695464295 0.6800000025324874 -2.532487405981158E-9
0.69 0.7549029063256905 0.6900000023598136 -2.3598136306804414E-9
0.7 0.758036347776927 0.7000000021985587 -2.1985586363363973E-9
0.71 0.7611479319100133 0.7100000020479895 -2.0479895464219483E-9
0.72 0.7642375022207488 0.7200000019074192 -1.907419163502208E-9
0.73 0.7673049076991025 0.7300000017762032 -1.7762032032538557E-9
0.74 0.7703500028352094 0.7400000016537377 -1.653737691207902E-9
0.75 0.7733726476231317 0.7500000015394565 -1.5394565129192665E-9
0.76 0.7763727075624006 0.7600000014328291 -1.4328291087817704E-9
0.77 0.7793500536573504 0.7700000013333583 -1.3333583051946683E-9
0.78 0.7823045624142668 0.7800000012405783 -1.240578274248185E-9
0.79 0.7852361158363629 0.7900000011540527 -1.1540526145320233E-9
0.8 0.7881446014166034 0.8000000010733727 -1.0733725460837568E-9
0.81 0.7910299121283985 0.8100000009981553 -9.981552128846408E-10
0.82 0.7938919464141869 0.820000000928042 -9.280420866798409E-10
0.83 0.7967306081719316 0.8300000008626974 -8.626974662494912E-10
0.84 0.7995458067395503 0.840000000801807 -8.018070665873883E-10
0.85 0.8023374568773076 0.8500000007450766 -7.450766927565416E-10
0.86 0.8051054787481916 0.8600000006922309 -6.922309934861332E-10
0.87 0.8078497978963037 0.8700000006430123 -6.430122898536314E-10
0.88 0.8105703452232879 0.8800000005971795 -5.971794746596757E-10
0.89 0.8132670569628273 0.890000000554507 -5.545069783527458E-10
0.9 0.8159398746532406 0.9000000005147838 -5.147837975962836E-10
0.91 0.8185887451082028 0.9100000004778125 -4.778125827936099E-10
0.92 0.8212136203856284 0.9200000004434087 -4.4340878109634577E-10
0.93 0.8238144577547422 0.9300000004113999 -4.113998316207672E-10
0.94 0.8263912196613754 0.9400000003816245 -3.816244097842334E-10
0.95 0.8289438736915182 0.9500000003539316 -3.5393171785109333E-10
0.96 0.8314723925331622 0.9600000003281808 -3.2818081894488763E-10
0.97 0.8339767539364704 0.9700000003042399 -3.042400119417254E-10
0.98 0.8364569406723076 0.9800000002819862 -2.819862448089534E-10
0.99 0.8389129404891691 0.9900000002613046 -2.6130456409411117E-10
1.0 0.8413447460685429 1.0000000002420877 -2.4208759840214555E-10
1.01 0.8437523549787455 1.010000000224235 -2.2423507382435712E-10
1.02 0.8461357696272651 1.0200000002076535 -2.0765335940099253E-10
1.03 0.8484949972116563 1.0300000001922551 -1.9225504081114698E-10
1.04 0.8508300496690187 1.0400000001779586 -1.7795852058908347E-10
1.05 0.853140943624104 1.0500000001646876 -1.6468764326554231E-10
1.06 0.8554277003360904 1.0600000001523713 -1.523713439264399E-10
1.07 0.8576903456440608 1.0700000001409433 -1.4094331876984844E-10
1.08 0.8599289099112309 1.0800000001303418 -1.3034171632560173E-10
1.09 0.8621434279679645 1.0900000001205088 -1.2050884808056402E-10
1.1 0.8643339390536173 1.100000000111391 -1.113909173267934E-10
1.11 0.8665004867572528 1.1100000001029378 -1.0293776511977673E-10
1.12 0.8686431189572693 1.1200000000951027 -9.510263229984566E-11
1.13 0.8707618877599822 1.1300000000878418 -8.784193659202634E-11
1.1400000000000001 0.8728568494372018 1.140000000081115 -8.111506385813914E-11
1.15 0.8749280643628498 1.1500000000748842 -7.488417263015017E-11
1.16 0.8769755969486567 1.160000000069114 -6.911401110577256E-11
1.17 0.8789995155789817 1.1700000000637718 -6.3771745836298E-11
1.18 0.8809998925447994 1.1800000000588269 -5.882680138278363E-11
1.19 0.8829768039768913 1.1900000000542508 -5.4250710260177056E-11
1.2 0.8849303297782917 1.200000000050017 -5.001697252989308E-11
1.21 0.8868605535560228 1.2100000000461009 -4.610092443989563E-11
1.22 0.8887675625521654 1.2200000000424795 -4.247961554762683E-11
1.23 0.890651447574308 1.2300000000391318 -3.9131693795287184E-11
1.24 0.8925123029254132 1.2400000000360374 -3.603729803912973E-11
1.25 0.8943502263331448 1.250000000033178 -3.317795756469776E-11
1.26 0.8961653188786997 1.2600000000305365 -3.0536498148420694E-11
1.27 0.8979576849251809 1.270000000028097 -2.8096954252786836E-11
1.28 0.8997274320455578 1.2800000000258445 -2.584448696753014E-11
1.29 0.9014746709502521 1.2900000000237652 -2.3765307332993832E-11
1.3 0.9031995154143896 1.3000000000218466 -2.1846604704150517E-11
1.31 0.9049020822047609 1.3100000000200764 -2.0076479834748385E-11
1.32 0.9065824910065281 1.3200000000184438 -1.8443882380792803E-11
1.33 0.9082408643497192 1.3300000000169385 -1.6938552541133488E-11
1.34 0.9098773275355475 1.340000000015551 -1.555096657037871E-11
1.35 0.911492008562598 1.3500000000142722 -1.4272285915763181E-11
1.3599999999999999 0.913085038052915 1.3600000000130943 -1.3094309745016765E-11
1.37 0.914656549178033 1.3700000000120094 -1.2009430646773689E-11
1.38 0.9162066775849858 1.3800000000110106 -1.1010593298681217E-11
1.3900000000000001 0.917735561322331 1.3900000000100912 -1.0091255911163352E-11
1.4 0.9192433407662289 1.4000000000092454 -9.245354266817429E-12
1.41 0.9207301585466077 1.4100000000084671 -8.46726818671482E-12
1.42 0.9221961594734537 1.4200000000077517 -7.751790265484265E-12
1.43 0.9236414904632609 1.430000000007094 -7.09409672701784E-12
1.44 0.925066300465673 1.4400000000064896 -6.489720261993559E-12
1.45 0.9264707403903516 1.4500000000059345 -5.934524717190866E-12
1.46 0.9278549630341063 1.4600000000054247 -5.424681514819621E-12
1.47 0.9292191230083144 1.4700000000049567 -4.956647687821729E-12
1.48 0.9305633766666683 1.480000000004527 -4.5271454243671135E-12
1.49 0.9318878820332746 1.4900000000041331 -4.133143021580922E-12
1.5 0.9331927987311419 1.5000000000037719 -3.77183715493312E-12
1.51 0.9344782879110834 1.5100000000034406 -3.440636375720334E-12
1.52 0.9357445121810641 1.520000000003137 -3.13714575469657E-12
1.53 0.9369916355360216 1.5300000000028593 -2.8591525951865785E-12
1.54 0.9382198232881881 1.5400000000026046 -2.604613143964229E-12
1.55 0.939429241997941 1.5500000000023717 -2.371640232818107E-12
1.56 0.9406200594052069 1.5600000000021585 -2.158491788076209E-12
1.5699999999999998 0.9417924443614469 1.5700000000019636 -1.963560149438819E-12
1.58 0.9429465667622458 1.5800000000017853 -1.7853621432897311E-12
1.5899999999999999 0.9440825974805305 1.5900000000016226 -1.6225298592366431E-12
1.6 0.945200708300442 1.6000000000014738 -1.473802081986375E-12
1.6099999999999999 0.9463010718518803 1.610000000001338 -1.3380163338032942E-12
1.62 0.9473838615457479 1.6200000000012142 -1.2141014857430354E-12
1.63 0.9484492515099106 1.630000000001101 -1.1010708986103523E-12
1.6400000000000001 0.9494974165258964 1.640000000000998 -9.980160571713174E-13
1.65 0.9505285319663519 1.650000000000904 -9.041006635667746E-13
1.6600000000000001 0.9515427737332772 1.6600000000008186 -8.185551581362538E-13
1.67 0.9525403181970528 1.6700000000007407 -7.406716379788007E-13
1.6800000000000002 0.9535213421362799 1.6800000000006698 -6.697991455585672E-13
1.69 0.9544860226784502 1.6900000000006052 -6.05339301516791E-13
1.7 0.955434537241457 1.7000000000005469 -5.467422575860241E-13
1.71 0.9563670634759681 1.7100000000004936 -4.935029471245178E-13
1.72 0.9572837792086711 1.7200000000004452 -4.45157612305599E-13
1.73 0.9581848623864051 1.7300000000004012 -4.012805884152138E-13
1.74 0.9590704910211927 1.7400000000003615 -3.614813270367845E-13
1.75 0.9599408431361829 1.7500000000003255 -3.2540164114190695E-13
1.76 0.9607960967125174 1.7600000000002927 -2.927131562636804E-13
1.77 0.9616364296371287 1.7700000000002631 -2.631149530117164E-13
1.78 0.9624620196514831 1.7800000000002363 -2.3633138719894307E-13
1.79 0.9632730443012737 1.790000000000212 -2.1211007479470465E-13
1.8 0.9640696808870742 1.8000000000001903 -1.902200298006059E-13
1.81 0.9648521064159612 1.8100000000001706 -1.7044994396903715E-13
1.8199999999999998 0.9656204975541101 1.8200000000001526 -1.5260659805307503E-13
1.83 0.9663750305803717 1.8300000000001364 -1.3651339499398804E-13
1.8399999999999999 0.9671158813408361 1.840000000000122 -1.2200900612217448E-13
1.85 0.9678432252043863 1.850000000000109 -1.0894612207210152E-13
1.8599999999999999 0.9685572370192473 1.8600000000000971 -9.719030069459638E-14
1.8699999999999999 0.969258091070534 1.8700000000000867 -8.661890479336924E-14
1.8799999999999997 0.9699459610388003 1.880000000000077 -7.712012301947065E-14
1.8900000000000003 0.9706210199595906 1.8900000000000685 -6.859206772988455E-14
1.9000000000000001 0.9712834401839983 1.9000000000000608 -6.094194405686848E-14
1.9100000000000001 0.9719333933402274 1.910000000000054 -5.40852848450678E-14
1.92 0.9725710502961632 1.920000000000048 -4.7945246495815125E-14
1.9300000000000002 0.973196581122945 1.9300000000000423 -4.245196111421756E-14
1.94 0.9738101550595473 1.9400000000000375 -3.754194068635546E-14
1.9500000000000002 0.9744119404783613 1.9500000000000333 -3.3157529322782487E-14
1.9599999999999997 0.9750021048517796 1.9600000000000293 -2.92463998920363E-14
1.97 0.9755808147197774 1.9700000000000257 -2.5761091635460025E-14
1.9799999999999998 0.9761482356584915 1.9800000000000226 -2.2658585603619496E-14
1.99 0.9767045322497881 1.9900000000000198 -1.98999149862211E-14
2.0 0.9772498680518208 2.0000000000000173 -1.7449807622850452E-14
2.01 0.9777844055705686 2.0100000000000153 -1.527635818214867E-14
2.02 0.9783083062323532 2.0200000000000133 -1.335072768323711E-14
2.03 0.9788217303573277 2.030000000000012 -1.1646868206243296E-14
2.04 0.9793248371339299 2.0400000000000102 -1.014127079955953E-14
2.05 0.9798177845942956 2.0500000000000087 -8.81273474081223E-15
2.06 0.9803007295906231 2.0600000000000076 -7.642156447211935E-15
2.07 0.9807738277724828 2.0700000000000065 -6.61233645971714E-15
2.08 0.9812372335650623 2.080000000000006 -5.707803044959063E-15
2.09 0.981691100148341 2.0900000000000047 -4.91465106977312E-15
2.1 0.9821355794371835 2.100000000000004 -4.220394906059296E-15
2.11 0.9825708220623429 2.1100000000000034 -3.613834219101119E-15
2.12 0.9829969773523671 2.120000000000003 -3.084931580928876E-15
2.13 0.983414193316395 2.1300000000000026 -2.6247009322995178E-15
2.14 0.9838226166278339 2.1400000000000023 -2.2251059928343452E-15
2.15 0.9842223926089095 2.1500000000000017 -1.8789677892264594E-15
2.16 0.9846136652160746 2.1600000000000015 -1.579880536595731E-15
2.17 0.9849965770262678 2.1700000000000013 -1.3221351683958946E-15
2.18 0.9853712692240107 2.180000000000001 -1.1006498661078623E-15
2.19 0.9857378815893312 2.190000000000001 -9.109069916040335E-16
2.2 0.9860965524865013 2.2000000000000006 -7.488958728373295E-16
2.21 0.98644741885358 2.210000000000001 -6.110609376726807E-16
2.22 0.9867906161927438 2.2200000000000006 -4.942547314958707E-16
2.23 0.987126278561398 2.2300000000000004 -3.9569539194535874E-16
2.24 0.9874545385640534 2.24 -3.129281889409615E-16
2.25 0.9877755273449553 2.25 -2.4379077033766533E-16
2.26 0.988089374581453 2.2600000000000002 -1.8638178320757755E-16
2.27 0.9883962084780965 2.27 -1.39032568128926E-16
2.2800000000000002 0.9886961557614472 2.2800000000000002 -1.0028164910633032E-16
2.29 0.9889893416755886 2.29 -6.885176501787833E-17
2.3 0.9892758899783242 2.3 -4.3629209927466416E-17
2.31 0.989555922938049 2.31 -2.3645269350852697E-17
2.32 0.9898295613312803 2.32 -8.059557746840221E-18
2.33 0.9900969244408357 2.33 3.854920762000542E-18
2.34 0.9903581300546417 2.34 1.2725151042888586E-17
2.35 0.9906132944651614 2.35 1.909007343289864E-17
2.36 0.9908625324694273 2.36 2.341127349252828E-17
2.37 0.9911059573696632 2.37 2.6082518533748188E-17
2.38 0.9913436809744834 2.38 2.7438253455872727E-17
2.39 0.9915758136006544 2.39 2.776115835827147E-17
2.4 0.991802464075404 2.4 2.7288861168347267E-17
2.41 0.9920237397392663 2.41 2.6219890061782932E-17
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