Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 41.3s)

analyze1.3s (3.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.2%0%0%100%0%0%0%7
9.4%0%0%100%0%0%0%8
14.1%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
31.6%0%0%100%0%0%0%11
36.9%0%0%100%0%0%0%12
Compiler

Compiled 123 to 49 computations (60.2% saved)

sample38.9s (94.1%)

Results
10.5s8256×0valid
4.3s8105×0valid-sollya
167.0ms151×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(0.04767041280865669 1.2748358813041705e-6 0.001998722553253174 0.006301631219685078)0.9999989867210388(0.9999990061131137 0.9999990061131137)0.9999990061131137validvalid00.688227#f
(8.496295777149498e-6 0.002027405658736825 0.0001823024358600378 0.08874678611755371)0.9999999403953552(0.9999999665467675 0.9999999665467675)0.9999999665467675validvalid00.873035#f
(7.804700175029211e-8 1.7607315385248512e-5 0.0002060542901745066 0.003723606001585722)1.0(0.9999999999994589 0.9999999999994589)+nan.0validexit00.726912#f
(0.004450018983334303 3.230457901182149e-9 0.03059033863246441 0.024686738848686218)0.9999986290931702(0.9999986379427634 0.9999986379427634)+nan.0validexit00.7359289999999999#f
(0.05453293398022652 0.12253358960151672 0.3400416374206543 0.009687316603958607)0.9983868598937988(0.9983868734433361 0.9983868734433361)+nan.0validexit00.606194#f
(0.00032797150197438896 0.20529361069202423 0.02716074511408806 0.74350506067276)0.9999929070472717(0.9999929194876358 0.9999929194876358)0.9999929194876358validvalid00.748183#f
(0.00014629708311986178 0.00020960916299372911 0.00124462996609509 0.614848256111145)0.9999723434448242(0.9999723441931331 0.9999723441931331)0.9999723441931331validvalid00.739347#f
(0.6272847056388855 6.474655478427849e-9 0.0035749671515077353 0.4064350128173828)0.8845692873001099(+nan.0 +nan.0)0.8845693009883273validvalid00.5555030000000001#f
(5.844693077960983e-5 4.1170029163595245e-8 0.0014109809417277575 0.1066322848200798)0.9999996423721313(0.999999667696962 0.999999667696962)0.999999667696962validvalid00.762626#f
(0.08365454524755478 1.0594445321032708e-8 0.026871144771575928 0.6663690209388733)0.9803272485733032(0.9803272489724998 0.9803272489724998)0.9803272489724998validvalid00.701801#f
(0.054232802242040634 0.0010806253412738442 0.00024011419736780226 0.03675591200590134)0.999961256980896(0.9999612691563957 0.9999612691563957)0.9999612691563957validvalid00.34799#f
(0.08690899610519409 0.2920641005039215 0.0007809715461917222 0.5122207999229431)0.999148964881897(0.9991489769917912 0.9991489769917912)0.9991489769917912validvalid00.393625#f
(0.15694575011730194 1.806852480967791e-7 0.00255568721331656 0.007499103434383869)0.9999947547912598(0.9999947654503917 0.9999947654503917)0.9999947654503917validvalid00.801083#f
(0.24427926540374756 0.0006851600483059883 0.6124914288520813 0.0008502518176101148)0.9999987483024597(0.9999987595009039 0.9999987595009039)0.9999987595009039validvalid00.787705#f
(1.973109453601296e-9 9.611745917936787e-5 0.00017320252663921565 0.0004661365819629282)1.0(0.9999999999999998 0.9999999999999998)+nan.0validexit00.813148#f
(0.7377552390098572 6.850193017271522e-7 0.0001922819355968386 0.000540324195753783)0.9999995827674866(0.9999995893384428 0.9999995893384428)0.9999995893384428validvalid00.346443#f
(0.18968811631202698 0.0008110946509987116 0.012851846404373646 0.023439621552824974)0.9999356865882874(+nan.0 +nan.0)0.999935700242758validvalid00.7065389999999999#f
(4.73214036844638e-8 4.957353971768441e-10 0.10589734464883804 0.22896230220794678)1.0(0.9999999987596175 0.9999999987596175)+nan.0validexit00.347862#f
(0.00012088598305126652 1.1103878023277503e-5 0.09289330244064331 0.05334565415978432)0.9999998211860657(0.999999827973071 0.999999827973071)0.999999827973071validvalid00.746543#f
(0.10657830536365509 4.502399406192126e-6 0.0007946148398332298 0.0034122217912226915)0.9999992847442627(0.9999993055253904 0.9999993055253904)0.9999993055253904validvalid00.725093#f
(0.06438979506492615 0.04244435578584671 0.00015072962560225278 0.02099076472222805)0.9999858736991882(0.9999858915179413 0.9999858915179413)0.9999858915179413validvalid00.746569#f
(1.8356716964262887e-6 1.677351519902004e-7 0.18385665118694305 0.2129165381193161)0.9999999403953552(0.9999999583912587 0.9999999583912587)0.9999999583912587validvalid00.871528#f
(0.004755048081278801 3.86610918212682e-6 0.02554190717637539 0.324800968170166)0.9997480511665344(0.9997480783876339 0.9997480783876339)0.9997480783876339validvalid00.724724#f
(0.0005537380930036306 8.256730410494129e-8 0.015656836330890656 0.024118753150105476)0.9999998211860657(0.9999998388521345 0.9999998388521345)0.9999998388521345validvalid00.405879#f
(0.02862277813255787 2.1687708340323297e-7 0.119574636220932 0.012389988638460636)0.9999977350234985(0.9999977383040719 0.9999977383040719)0.9999977383040719validvalid00.333456#f
(2.526229764043819e-6 1.0412552910565864e-5 0.31740108132362366 0.003488222137093544)1.0(0.9999999999846302 0.9999999999846302)+nan.0validexit00.772571#f
(0.040459103882312775 0.0235990509390831 0.12079939246177673 0.00016979700012598187)0.9999932646751404(0.9999932849382206 0.9999932849382206)0.9999932849382206validvalid00.678511#f
(0.0028717019595205784 0.00040136222378350794 0.0008122496656142175 0.039051156491041183)0.9999977946281433(0.999997804052586 0.999997804052586)0.999997804052586validvalid00.94529#f
(2.4884411198300427e-10 4.65005032310728e-5 0.044525302946567535 0.025534572079777718)1.0(0.9999999999999188 0.9999999999999188)+nan.0validexit00.7496160000000001#f
(0.0005854187766090035 7.957145697901069e-8 0.07776804268360138 0.9831579923629761)0.9997169971466064(0.9997170216405159 0.9997170216405159)0.9997170216405159validvalid00.8212430000000001#f
(0.008706334978342056 0.0004122866375837475 0.00036968657514080405 0.030192850157618523)0.9999960064888(0.9999959968141966 0.9999959968141966)+nan.0validexit00.8420059999999999#f
(0.09002576768398285 4.123796415456127e-9 0.7792937159538269 0.001444704714231193)0.9999998807907104(0.9999998967557543 0.9999998967557543)0.9999998967557543validvalid00.384922#f
(0.4020407497882843 3.4642977375654027e-10 0.03786739334464073 0.0009063206380233169)0.9999997019767761(0.9999997238582651 0.9999997238582651)+nan.0validexit00.7537#f
(0.0037083039060235023 0.09548218548297882 0.019478589296340942 0.9747598171234131)0.9987972974777222(0.9987973131149258 0.9987973131149258)0.9987973131149258validvalid00.739317#f
(0.24453631043434143 5.040888817475775e-10 0.0009578538592904806 0.6505478620529175)0.9378247857093811(0.9378248008492545 0.9378248008492545)0.9378248008492545validvalid00.782167#f
(0.003918561153113842 5.5313677876256406e-5 0.0018587536178529263 0.17439238727092743)0.9999401569366455(0.9999401839389671 0.9999401839389671)0.9999401839389671validvalid00.7882870000000001#f
(0.001878067385405302 0.20306813716888428 0.006922814529389143 0.10349810868501663)0.9999991059303284(0.9999991075186161 0.9999991075186161)0.9999991075186161validvalid00.85609#f
(0.05133946239948273 1.165613650044861e-8 0.1512722373008728 0.03750520944595337)0.9999619126319885(0.9999619399914429 0.9999619399914429)0.9999619399914429validvalid00.695319#f
(3.427222327445634e-5 0.05202549323439598 0.060614507645368576 0.13879400491714478)0.9999997019767761(0.9999996974269058 0.9999996974269058)+nan.0validexit00.318893#f
(0.030459055677056313 4.826210986408341e-9 0.05867525562644005 0.002639587502926588)0.9999998807907104(0.9999998905559034 0.9999998905559034)0.9999998905559034validvalid00.819367#f
(0.005806691013276577 1.1576182235017995e-9 0.0005507720052264631 0.07714111357927322)0.9999825954437256(0.9999826224569751 0.9999826224569751)0.9999826224569751validvalid00.8434659999999999#f
(0.003117973916232586 3.1695312827650923e-6 0.0018545592902228236 0.0077727134339511395)0.9999998807907104(0.9999999055191118 0.9999999055191118)+nan.0validexit00.335468#f
(0.00038778537418693304 5.600656050042119e-10 0.08207421749830246 0.00024023238802328706)1.0(0.9999999999888058 0.9999999999888058)+nan.0validexit00.736464#f
(0.13201060891151428 0.0006426266045309603 0.029271868988871574 0.003267043037340045)0.9999991655349731(0.9999991872919615 0.9999991872919615)0.9999991872919615validvalid00.783045#f
(5.234410878074414e-7 3.0557607999526226e-8 0.002692815847694874 0.47429242730140686)0.9999999403953552(0.9999999411250726 0.9999999411250726)0.9999999411250726validvalid00.332952#f
(6.895196857925612e-9 9.60067025879141e-10 0.0017547172028571367 0.007174613419920206)1.0(0.9999999999998226 0.9999999999998226)+nan.0validexit00.6679350000000001#f
(0.00038644511369057 0.04380177706480026 0.0001771030219970271 0.45684072375297546)0.9999626278877258(0.9999626395316223 0.9999626395316223)0.9999626395316223validvalid00.79599#f
(2.9008814905751024e-8 8.663543660247797e-9 0.002498271642252803 0.00012157169112470001)1.0(0.9999999999999998 0.9999999999999998)+nan.0validexit00.76815#f
(0.7006198167800903 0.004985865671187639 0.08392898738384247 0.00011731138511095196)0.9999918937683105(0.9999918976683876 0.9999918976683876)0.9999918976683876validvalid00.32562800000000003#f
(0.026800071820616722 6.468219293509492e-9 0.0032062828540802 0.6097413897514343)0.9949198365211487(0.99491985642834 0.99491985642834)0.99491985642834validvalid00.839487#f
(0.09675182402133942 1.2383590819453616e-9 0.0009513378608971834 0.004851020872592926)0.9999987483024597(+nan.0 +nan.0)+nan.0validexit05.0#f
(0.21053914725780487 0.0011094746878370643 0.009464054368436337 0.2674660086631775)0.9905956387519836(0.9905956633628584 0.9905956633628584)0.9905956633628584validvalid00.763043#f
(8.401630475418642e-5 0.06614300608634949 0.4371117949485779 0.008001196198165417)0.9999986886978149(0.9999986893703312 0.9999986893703312)0.9999986893703312validvalid00.683408#f
(0.008082070387899876 1.0525844800213235e-6 0.021002864465117455 0.012509153224527836)0.9999993443489075(0.9999993625115782 0.9999993625115782)0.9999993625115782validvalid00.708809#f
(2.269504875584971e-6 1.2099028481316054e-6 0.054775532335042953 0.7892913222312927)0.9999992847442627(0.9999992930701737 0.9999992930701737)0.9999992930701737validvalid00.846861#f
(3.560355253284797e-6 1.3557747706727241e-6 0.16700688004493713 0.0004836212610825896)1.0(0.9999999999995837 0.9999999999995837)+nan.0validexit00.7460140000000001#f
(0.00036254964652471244 3.0206548373712394e-10 0.0009362756973132491 0.1680334210395813)0.9999948740005493(0.9999948798465659 0.9999948798465659)0.9999948798465659validvalid00.5845400000000001#f
(0.01989457756280899 1.1344567951709905e-8 0.0012128005037084222 0.23374474048614502)0.999445915222168(0.9994459428334486 0.9994459428334486)0.9994459428334486validvalid00.798387#f
(0.0035080728121101856 0.0076725720427930355 0.073148213326931 0.212178573012352)0.9999209046363831(0.9999209272620806 0.9999209272620806)0.9999209272620806validvalid00.6814199999999999#f
(0.08497942239046097 0.024223368614912033 0.05222437158226967 0.00044263710151426494)0.999997079372406(0.9999970799232606 0.9999970799232606)0.9999970799232606validvalid00.598415#f
(0.0997888371348381 4.18805666413391e-6 0.015689698979258537 0.008157042786478996)0.9999963045120239(0.9999963121720533 0.9999963121720533)0.9999963121720533validvalid00.7826559999999999#f
(2.6845022205179703e-8 2.5704964627948357e-6 0.04960697889328003 0.31664809584617615)1.0(0.9999999986541782 0.9999999986541782)+nan.0validexit00.331938#f
(0.0008974001975730062 1.7042705735548225e-7 0.00022646354045718908 0.1229599341750145)0.9999932050704956(0.9999932100137193 0.9999932100137193)0.9999932100137193validvalid00.331515#f
(6.635403224208858e-6 0.07569549977779388 0.18379855155944824 0.11631465703248978)0.9999999403953552(0.9999999410268704 0.9999999410268704)0.9999999410268704validvalid00.525127#f
(1.446371356905729e-6 0.4449577331542969 0.003524176776409149 0.4972977340221405)0.9999998211860657(0.9999998417031631 0.9999998417031631)0.9999998417031631validvalid00.745193#f
(9.841687642619945e-7 8.224337477713561e-8 0.001245624735020101 0.9615775942802429)0.9999995231628418(0.9999995450031572 0.9999995450031572)0.9999995450031572validvalid00.596603#f
(0.7944140434265137 7.92568243923597e-6 0.0001755455887177959 0.11675897985696793)0.9746576547622681(0.9746576755185423 0.9746576755185423)0.9746576755185423validvalid00.7218380000000001#f
(0.013120360672473907 0.0007353422115556896 0.009856341406702995 0.19836439192295074)0.9997385144233704(0.9997385435127508 0.9997385435127508)0.9997385435127508validvalid00.732831#f
(0.8721322417259216 5.3662145838018205e-9 0.002707852516323328 0.0029319014865905046)0.9999706745147705(0.9999706862792723 0.9999706862792723)0.9999706862792723validvalid00.764614#f
(0.061049554497003555 0.0009030429646372795 0.12823012471199036 0.7351319193840027)0.9828816056251526(0.9828816273600686 0.9828816273600686)0.9828816273600686validvalid00.716623#f
(1.7086735169868916e-5 7.053934325540467e-8 0.00046249848674051464 0.6710782647132874)0.9999961256980896(+nan.0 +nan.0)0.9999961524847256validvalid01.0227579999999998#f
(0.0018408849136903882 3.99384163074501e-7 0.2151487171649933 0.02083473466336727)0.9999995827674866(0.9999995997120161 0.9999995997120161)0.9999995997120161validvalid00.8693839999999999#f
(0.1404852718114853 0.3831084966659546 0.0015168245881795883 0.00347051746211946)0.9999993443489075(0.9999993733292123 0.9999993733292123)0.9999993733292123validvalid00.7457940000000001#f
(9.057910938281566e-5 5.251397894312504e-8 0.757834792137146 0.37663504481315613)0.9999935626983643(0.9999935749774006 0.9999935749774006)0.9999935749774006validvalid00.749125#f
(0.1896304041147232 0.013872903771698475 0.011642775498330593 0.0029175952076911926)0.9999988675117493(+nan.0 +nan.0)0.9999988913836929validvalid00.768055#f
(0.012815181165933609 2.426299161584211e-8 0.0012674296740442514 0.4728538691997528)0.9985518455505371(0.9985518751243717 0.9985518751243717)0.9985518751243717validvalid00.717546#f
(0.014645678922533989 7.688097269920036e-8 0.13981081545352936 0.020403780043125153)0.9999969005584717(0.9999969060995298 0.9999969060995298)0.9999969060995298validvalid00.747455#f
(0.0033571086823940277 4.8082107241498306e-5 0.000546545721590519 0.6940146088600159)0.9991897940635681(0.999189776278716 0.999189776278716)+nan.0validexit00.857866#f
(6.845710595371202e-5 1.628312844559332e-7 0.00037153108860366046 0.5971490740776062)0.999987781047821(0.9999877939302874 0.9999877939302874)0.9999877939302874validvalid00.854864#f
(0.043304890394210815 1.4022258909562879e-8 0.0003647310077212751 0.002047539921477437)0.9999998807907104(0.999999905114885 0.999999905114885)0.999999905114885validvalid00.74588#f
(0.00038422923535108566 0.00019441195763647556 0.0002281615015817806 0.04851364344358444)0.9999995231628418(0.9999995476712912 0.9999995476712912)0.9999995476712912validvalid00.7589359999999999#f
(0.051448747515678406 0.035097260028123856 0.005195417907088995 0.00014862653915770352)0.9999999403953552(0.9999999644044668 0.9999999644044668)0.9999999644044668validvalid00.733513#f
(0.08612532168626785 7.218066588876582e-9 0.3806314468383789 0.007372034713625908)0.9999974370002747(0.9999974391314168 0.9999974391314168)0.9999974391314168validvalid00.595287#f
(4.5778699586662697e-7 4.079410587110033e-9 0.00015771885227877647 0.4324321150779724)0.9999999403953552(0.9999999571974635 0.9999999571974635)0.9999999571974635validvalid00.7363139999999999#f
(0.025460856035351753 0.0014039946254342794 0.9221007227897644 0.000108418105810415)0.9999991059303284(0.9999991355171519 0.9999991355171519)0.9999991355171519validvalid00.70425#f
(4.482522513171716e-7 0.011170650832355022 0.00043813788215629756 0.38349810242652893)0.9999999403953552(0.999999967199694 0.999999967199694)0.999999967199694validvalid00.734666#f
(0.006910210009664297 0.0003790871414821595 0.00014905149873811752 0.0001436994643881917)1.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(3.3652136153250467e-6 0.14301329851150513 0.016713885590434074 0.22423046827316284)0.9999999403953552(0.9999999669055487 0.9999999669055487)0.9999999669055487validvalid00.319812#f
(1.1663064469757956e-7 0.18260930478572845 0.47669997811317444 0.00042848862358368933)1.0(0.999999988985537 0.999999988985537)+nan.0validexit00.792944#f
(3.41694772032497e-6 2.798706873363699e-6 0.006113293580710888 0.3100740313529968)0.9999998211860657(0.9999998357367139 0.9999998357367139)0.9999998357367139validvalid00.5337000000000001#f
(0.0019320460269227624 0.20522727072238922 0.0003088346275035292 0.08375901728868484)0.999999463558197(0.9999994765672177 0.9999994765672177)0.9999994765672177validvalid00.84506#f
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(1.4276767615228891e-5 5.277588206809014e-5 0.024315258488059044 0.45500320196151733)0.9999985098838806(0.9999985221376314 0.9999985221376314)0.9999985221376314validvalid00.343537#f
(8.626323688076809e-5 0.001045399229042232 0.7912561297416687 0.45018908381462097)0.999991238117218(0.9999912570783208 0.9999912570783208)0.9999912570783208validvalid00.335268#f
(0.4178498685359955 7.483666131236077e-9 0.0003518859448377043 0.000350818270817399)0.9999999403953552(0.9999999558307878 0.9999999558307878)0.9999999558307878validvalid00.35187199999999996#f
(9.508911170996726e-5 0.01106096152216196 0.9395840167999268 0.08080486953258514)0.999999463558197(0.9999994886064713 0.9999994886064713)0.9999994886064713validvalid00.342615#f
(0.4012121856212616 4.2192466935375705e-5 0.0013804740738123655 0.20162433385849)0.986652672290802(0.9866526920056934 0.9866526920056934)0.9866526920056934validvalid00.327598#f
(0.0030734785832464695 5.729851704217026e-9 0.00043541082413867116 0.1417359709739685)0.9999690055847168(0.9999690345753842 0.9999690345753842)0.9999690345753842validvalid00.31345500000000004#f
(9.633219633542467e-6 4.755575719173066e-5 0.3276233971118927 0.2426614612340927)0.9999997019767761(0.9999997163732985 0.9999997163732985)0.9999997163732985validvalid00.328715#f
Sollya timings
Total time spent in Sollya 4.4s
Bogosity

preprocess819.0ms (2%)

Algorithm
egg-herbie
Rules
1544×unsub-neg
1032×associate-/r*
840×fma-define
814×div-sub
774×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02155376
15165176
211184912
334724656
469264656
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 #s(literal 1 binary32) (neg.f32 u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 #s(literal 1 binary32) (neg.f32 u0)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u0) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u0) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u0) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u0) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u1) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u0 u0)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) alphax) (-.f32 #s(literal 1 binary32) alphax)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u0 u0)))) alphay) (-.f32 #s(literal 1 binary32) alphay)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphax) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphax) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u1 u1)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphax) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphax) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphay alphay))))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphay alphay))))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 #s(literal 1 binary32) (neg.f32 u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphay alphay))))) (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (neg.f32 u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 u0) (*.f32 (+.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal -1 binary32) u0)) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax)))) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (neg.f32 u1)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u1)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u1)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u1)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) u1)))) alphax)))) (*.f32 alphay alphay)))))))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) u1)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) u1)))) (*.f32 u1 u1)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) u1)))) alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 alphax #s(literal 2 binary32))))) u1)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 alphax #s(literal 2 binary32))))) u1)))) (*.f32 u1 u1)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 alphax #s(literal 2 binary32))))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 alphax #s(literal 2 binary32))))) u1)))) alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax #s(literal 2 binary32) #s(literal 1/2 binary32)))) u1)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax #s(literal 2 binary32) #s(literal 1/2 binary32)))) u1)))) (*.f32 u1 u1)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax #s(literal 2 binary32) #s(literal 1/2 binary32)))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax #s(literal 2 binary32) #s(literal 1/2 binary32)))) u1)))) alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) alphay (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 u1 u1)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 u1 u1)) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay #s(literal 2 binary32)) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay #s(literal 2 binary32)) #s(literal 1/2 binary32)))) alphax)))) (*.f32 u1 u1)) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay #s(literal 2 binary32)) #s(literal 1/2 binary32)))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay #s(literal 2 binary32)) #s(literal 1/2 binary32)))) alphax)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax)))) (*.f32 u1 u1)) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (*.f32 alphay alphay))) (*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay)))) (*.f32 alphax alphax))))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) alphay)))) alphax))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphay)))) alphax))))))))
Compiler

Compiled 92 to 32 computations (65.2% saved)

eval1.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Compiler

Compiled 184 to 64 computations (65.2% saved)

simplify58.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative
10×+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040345
155345
259345
361345
462345
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

soundness2.0ms (0%)

Stop Event
fuel
Compiler

Compiled 92 to 32 computations (65.2% saved)

preprocess266.0ms (0.6%)

Compiler

Compiled 368 to 128 computations (65.2% saved)

end0.0ms (0%)

Profiling

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