Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 6.8s)

analyze274.0ms (4.1%)

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
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample6.3s (93.3%)

Results
1.5s8256×0valid
990.0ms8254×0valid-sollya
1.0ms0precondition
0.0ms0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(0.9999100565910339 2.632596363127959e-9 0.029304439201951027)5.0441547500668094e-5(5.044154911490318e-5 5.044154911490318e-5)5.044154911490318e-5validvalid00.091282#f
(0.9999707341194153 8.012472818563765e-8 7.299712478925358e-7)0.0002830631274264306(0.0002830631283016647 0.0002830631283016647)0.0002830631283016647validvalid00.091822#f
(0.9999884963035583 0.06871043890714645 0.04550139605998993)0.260599285364151(0.2605992934452831 0.2605992934452831)0.2605992934452831validvalid00.082338#f
(0.9999164938926697 1.0018698759495237e-8 8.705600521352608e-6)0.00010009344987338409(0.00010009345048450432 0.00010009345048450432)0.00010009345048450432validvalid00.09187200000000001#f
(0.9999664425849915 2.9827582626040794e-9 1.0572599649094627e-6)5.461463297251612e-5(5.461463422352383e-5 5.461463422352383e-5)5.461463422352383e-5validvalid00.09176899999999999#f
(0.9999948740005493 0.0036694807931780815 0.005134551320225)0.0606561079621315(0.06065610904785748 0.06065610904785748)0.06065610904785748validvalid00.090271#f
(0.9999318718910217 0.02360464632511139 1.8985675254157286e-8)0.15548406541347504(0.15548406872802178 0.15548406872802178)0.15548406872802178validvalid00.089157#f
(0.9999856948852539 0.00021365252905525267 2.9281751267262734e-5)0.014618419110774994(0.0146184191682818 0.0146184191682818)0.0146184191682818validvalid00.090906#f
(0.9999814033508301 1.6673159519697833e-9 2.0361952124403615e-9)4.083277963218279e-5(4.083278039455219e-5 4.083278039455219e-5)4.083278039455219e-5validvalid00.091037#f
(0.9999240040779114 3.0138327389295227e-9 0.00010116790508618578)5.489837349159643e-5(5.4898374568336006e-5 5.4898374568336006e-5)5.4898374568336006e-5validvalid00.091896#f
(0.9999622106552124 3.180453518325521e-7 0.057887837290763855)0.000527061172761023(0.0005270611754232234 0.0005270611754232234)0.0005270611754232234validvalid00.092866#f
(0.999941349029541 2.9878182772336004e-7 4.069961079267159e-8)0.0005466094589792192(0.0005466094739335825 0.0005466094739335825)0.0005466094739335825validvalid00.139455#f
(0.999921977519989 3.0588623300964457e-10 0.001844734768383205)1.748842805682216e-5(1.7488428748196613e-5 1.7488428748196613e-5)1.7488428748196613e-5validvalid00.0923#f
(0.9999181628227234 9.834788272655715e-8 0.37422147393226624)-0.00022066461679060012(-0.00022066461657241574 -0.00022066461657241574)-0.00022066461657241574validvalid00.092353#f
(0.9999952912330627 0.2968396246433258 1.191683054457826e-6)0.6497312188148499(0.6497312301996027 0.6497312301996027)0.6497312301996027validvalid00.089059#f
(0.9999549984931946 1.6155134119344439e-7 2.3718685326912237e-7)0.00040193452150560915(0.00040193453110167783 0.00040193453110167783)0.00040193453110167783validvalid00.139452#f
(0.9999518394470215 2.3476186470361426e-6 0.5594967603683472)-0.0014263760531321168(-0.0014263760210736273 -0.0014263760210736273)-0.0014263760210736273validvalid00.13817300000000002#f
(0.9999232888221741 0.02895333431661129 8.505034543304646e-8)0.17267490923404694(0.17267491140657484 0.17267491140657484)0.17267491140657484validvalid00.11863#f
(0.9999402761459351 3.419216591282748e-5 9.424536706603703e-10)0.005847506690770388(0.005847506738517952 0.005847506738517952)0.005847506738517952validvalid00.091176#f
(0.9999606013298035 0.46959778666496277 3.780838753186799e-9)0.9409365653991699(0.9409365892024908 0.9409365892024908)0.9409365892024908validvalid00.136889#f
(0.9999286532402039 0.2780480682849884 7.74829800320731e-9)0.6205914616584778(0.6205914668319463 0.6205914668319463)0.6205914668319463validvalid00.136561#f
(0.9999693036079407 2.693278838705737e-5 1.139213097189895e-7)0.00518975080922246(0.00518975084003758 0.00518975084003758)0.00518975084003758validvalid00.13817#f
(0.9999207854270935 4.4415693345456475e-10 0.012179387733340263)2.1013351215515286e-5(2.1013352103906938e-5 2.1013352103906938e-5)2.1013352103906938e-5validvalid00.143148#f
(0.9999101758003235 6.973730251047527e-7 0.00013792337267659605)0.0008350886055268347(0.0008350886106948378 0.0008350886106948378)0.0008350886106948378validvalid00.091832#f
(0.9999588131904602 9.20373182111689e-8 0.674900472164154)-0.0001378990855300799(-0.00013789908045807887 -0.00013789908045807887)-0.00013789908045807887validvalid00.094323#f
(0.9999009370803833 0.03377820551395416 0.008752218447625637)0.1866907775402069(0.1866907782459343 0.1866907782459343)0.1866907782459343validvalid00.139121#f
(0.9999067783355713 2.4426688469247892e-5 1.614090615476016e-5)0.004942396655678749(0.00494239667526709 0.00494239667526709)0.00494239667526709validvalid00.092198#f
(0.9999527931213379 2.7182504709344357e-6 5.814283499105954e-10)0.0016487139509990811(0.0016487140018329872 0.0016487140018329872)0.0016487140018329872validvalid00.139042#f
(0.999909520149231 1.481929530200432e-7 0.00018330567399971187)0.00038495814078487456(0.0003849581514935845 0.0003849581514935845)0.0003849581514935845validvalid00.14189000000000002#f
(0.9999346137046814 0.0013668527826666832 8.86940465516517e-10)0.0369962640106678(0.03699626503262296 0.03699626503262296)0.03699626503262296validvalid00.08237900000000001#f
(0.9999236464500427 1.59250550524348e-8 0.0037847107741981745)0.00012615883315447718(0.00012615883456870654 0.00012615883456870654)0.00012615883456870654validvalid00.1338#f
(0.999938428401947 0.019148938357830048 0.008251947350800037)0.13953617215156555(0.13953617232972698 0.13953617232972698)0.13953617232972698validvalid00.092704#f
(0.9999443292617798 1.061274247149413e-6 0.011071673594415188)0.0010276904795318842(0.0010276905072712653 0.0010276905072712653)0.0010276905072712653validvalid00.140792#f
(0.9999967217445374 0.00024187512462958694 3.724731101328871e-8)0.015554215759038925(0.015554216224531259 0.015554216224531259)0.015554216224531259validvalid00.130415#f
(0.9999458193778992 0.003184446832165122 2.857429404201639e-9)0.0565209686756134(0.056520968936134876 0.056520968936134876)0.056520968936134876validvalid00.09011999999999999#f
(0.9999753832817078 0.00042907113675028086 1.4388267288723e-7)0.02071847766637802(0.020718477690629254 0.020718477690629254)0.020718477690629254validvalid00.092396#f
(0.9999778270721436 3.687112837269524e-7 0.0004981032107025385)0.0006072131218388677(0.0006072131489094426 0.0006072131489094426)0.0006072131489094426validvalid00.12427599999999998#f
(0.9999806880950928 0.10059956461191177 0.027017980813980103)0.3296350836753845(0.3296350935381429 0.3296350935381429)0.3296350935381429validvalid00.092053#f
(0.9999071359634399 5.64966384786203e-8 0.11329657584428787)0.00017996618407778442(0.00017996618796274955 0.00017996618796274955)0.00017996618796274955validvalid00.125356#f
(0.9999156594276428 7.722432201262563e-6 5.778171274783972e-9)0.0027789371088147163(0.0027789371777142058 0.0027789371777142058)0.0027789371777142058validvalid00.144151#f
(0.999977707862854 0.023167278617620468 0.006233599036931992)0.15388426184654236(0.1538842644573252 0.1538842644573252)0.1538842644573252validvalid00.094097#f
(0.9999704957008362 7.292755732635214e-9 0.025797057896852493)8.427828288404271e-5(8.427828597539595e-5 8.427828597539595e-5)8.427828597539595e-5validvalid00.138994#f
(0.9999666213989258 0.0001846521336119622 0.00023937584774103016)0.013589915819466114(0.013589916060552336 0.013589916060552336)0.013589916060552336validvalid00.097885#f
(0.9999949932098389 5.979267143629841e-7 2.8828744689235464e-5)0.0007732574013061821(0.0007732574294899093 0.0007732574294899093)0.0007732574294899093validvalid00.091619#f
(0.9999656677246094 4.556456101312278e-9 1.1649783573375316e-6)6.750152533641085e-5(6.750152681109842e-5 6.750152681109842e-5)6.750152681109842e-5validvalid00.13537400000000002#f
(0.9999027848243713 0.0010304152965545654 4.628228111869248e-8)0.03211663290858269(0.03211663350065877 0.03211663350065877)0.03211663350065877validvalid00.09090200000000001#f
(0.9999049305915833 2.954376521202562e-9 0.012879929505288601)5.4176285630092025e-5(5.4176286311671424e-5 5.4176286311671424e-5)5.4176286311671424e-5validvalid00.156057#f
(0.999950647354126 0.7348242402076721 4.7627904109504016e-7)1.6646572351455688(1.6646572485284767 1.6646572485284767)1.6646572485284767validvalid00.088719#f
(0.9999293088912964 3.012302659044508e-5 5.7525849115336314e-5)0.0054885270074009895(0.005488527132030276 0.005488527132030276)0.005488527132030276validvalid00.10905#f
(0.9999591112136841 0.005755205638706684 0.008426445536315441)0.07597570866346359(0.07597571153652935 0.07597571153652935)0.07597571153652935validvalid00.14084#f
(0.99994295835495 0.0005293868598528206 2.174462991888504e-7)0.023014500737190247(0.02301450105343809 0.02301450105343809)0.02301450105343809validvalid00.14225100000000002#f
(0.9999988079071045 1.90774881048128e-5 0.00012661941582337022)0.0043678185902535915(0.004367818676094107 0.004367818676094107)0.004367818676094107validvalid00.118689#f
(0.9999868869781494 5.606380000244826e-6 4.188536451010805e-8)0.002367786131799221(0.002367786187964902 0.002367786187964902)0.002367786187964902validvalid00.139875#f
(0.9999938607215881 1.5130640349525493e-6 0.00019486978999339044)0.001230066642165184(0.0012300666876179152 0.0012300666876179152)0.0012300666876179152validvalid00.12629#f
(0.9999448657035828 1.010384131916453e-8 7.406940312648658e-6)0.00010051786375697702(0.00010051786607050649 0.00010051786607050649)0.00010051786607050649validvalid00.140927#f
(0.9999853372573853 0.0001135118945967406 1.6724126226108638e-6)0.010654800571501255(0.010654800842680324 0.010654800842680324)0.010654800842680324validvalid00.13758299999999998#f
(0.9999436736106873 2.5545512372104895e-8 1.4909334211665737e-8)0.00015982963668648154(0.00015982963750405584 0.00015982963750405584)0.00015982963750405584validvalid00.13939700000000002#f
(0.9999157786369324 1.5135379953790107e-6 0.887668788433075)0.0009363440331071615(0.000936344060355445 0.000936344060355445)0.000936344060355445validvalid00.148164#f
(0.9999626278877258 4.1914696713440946e-10 1.604785637709938e-8)2.0473078620852903e-5(2.0473079087183964e-5 2.0473079087183964e-5)2.0473079087183964e-5validvalid00.091802#f
(0.9999761581420898 0.0034654776100069284 2.757355832727626e-5)0.05897057428956032(0.05897057574925007 0.05897057574925007)0.05897057574925007validvalid00.126809#f
(0.9999798536300659 0.0008101245621219277 3.0392692806913146e-9)0.028474222868680954(0.02847422336158399 0.02847422336158399)0.02847422336158399validvalid00.09225000000000001#f
(0.999975860118866 2.3502822799059686e-8 5.692249942512717e-6)0.00015330630412790924(0.000153306305549962 0.000153306305549962)0.000153306305549962validvalid00.142061#f
(0.9999228715896606 2.2072799765737727e-5 1.7688515541181005e-8)0.004698221571743488(0.004698221683252212 0.004698221683252212)0.004698221683252212validvalid00.092764#f
(0.9999463558197021 3.795319116761675e-7 0.22276215255260468)0.0001049191560014151(0.00010491915811161228 0.00010491915811161228)0.00010491915811161228validvalid00.122786#f
(0.9999392032623291 1.2367741275554067e-9 3.848522283078637e-7)3.516779906931333e-5(3.5167799605289286e-5 3.5167799605289286e-5)3.5167799605289286e-5validvalid00.138048#f
(0.9999326467514038 5.2646564654423855e-6 2.745367783063557e-5)0.0022944898810237646(0.002294489927096003 0.002294489927096003)0.002294489927096003validvalid00.116494#f
(0.9999178051948547 4.537765107670566e-6 3.365993350712415e-8)0.0021302078384906054(0.0021302079004350666 0.0021302079004350666)0.0021302079004350666validvalid00.14133400000000002#f
(0.999904990196228 8.896133607549928e-9 0.3020501136779785)-3.0299308491521515e-5(-3.029930833491667e-5 -3.029930833491667e-5)-3.029930833491667e-5validvalid00.14014400000000002#f
(0.9999785423278809 0.006034643389284611 0.001893270411528647)0.07791291177272797(0.07791291488026718 0.07791291488026718)0.07791291488026718validvalid00.12282#f
(0.9999270439147949 2.9697317938115475e-9 6.791901263625277e-9)5.449524542200379e-5(5.449524568832449e-5 5.449524568832449e-5)5.449524568832449e-5validvalid00.13997099999999998#f
(0.999991238117218 1.823861566663254e-5 0.008681809529662132)0.0042643556371331215(0.004264355707969969 0.004264355707969969)0.004264355707969969validvalid00.09350699999999999#f
(0.999968409538269 0.0035544305574148893 0.002409628825262189)0.05971843749284744(0.05971843933174883 0.05971843933174883)0.05971843933174883validvalid00.139728#f
(0.999945878982544 2.11692827178922e-6 0.03375909477472305)0.001422359375283122(0.0014223594176920032 0.0014223594176920032)0.0014223594176920032validvalid00.143045#f
(0.9999527335166931 0.1237051859498024 1.4081767858442618e-6)0.3757238984107971(0.375723909334327 0.375723909334327)0.375723909334327validvalid00.142481#f
(0.999942421913147 8.007937424281408e-9 0.00025985066895373166)8.948695904109627e-5(8.948696073651205e-5 8.948696073651205e-5)8.948696073651205e-5validvalid00.139506#f
(0.9999011158943176 9.279954610974528e-6 4.613090354155247e-8)0.003046315861865878(0.003046315927367105 0.003046315927367105)0.003046315927367105validvalid00.13738#f
(0.999914824962616 3.7130075725144707e-6 1.4852997942682578e-8)0.0019269201438874006(0.0019269201745248455 0.0019269201745248455)0.0019269201745248455validvalid00.13809#f
(0.9999175667762756 1.1792257170739617e-9 8.355248428415507e-5)3.4339849662501365e-5(3.433985138975578e-5 3.433985138975578e-5)3.433985138975578e-5validvalid00.14891000000000001#f
(0.9999179840087891 0.0010722012957558036 0.0001004859441309236)0.03276204690337181(0.032762046905621144 0.032762046905621144)0.032762046905621144validvalid00.092632#f
(0.9999521970748901 1.083941469914862e-8 8.761036042415071e-6)0.00010411250696051866(0.00010411251021753334 0.00010411251021753334)0.00010411251021753334validvalid00.097563#f
(0.9999202489852905 2.1597506005832656e-8 2.1148908047052828e-7)0.0001469608978368342(0.00014696090116846316 0.00014696090116846316)0.00014696090116846316validvalid00.13766599999999998#f
(0.9999461770057678 0.012605499476194382 0.0010809581726789474)0.1129860058426857(0.11298600693283496 0.11298600693283496)0.11298600693283496validvalid00.093608#f
(0.9999574422836304 4.298031853977591e-5 0.025625167414546013)0.006471283733844757(0.006471283808989955 0.006471283808989955)0.006471283808989955validvalid00.14093999999999998#f
(0.9999750256538391 0.0034604384563863277 1.1710429248523724e-7)0.05892753601074219(0.05892753746823078 0.05892753746823078)0.05892753746823078validvalid00.09203#f
(0.9999712109565735 0.4953710436820984 4.384442036098335e-7)0.9907845258712769(0.9907845478201049 0.9907845478201049)0.9907845478201049validvalid00.093336#f
(0.9999462366104126 0.00023373377916868776 1.012430672631126e-8)0.015290141105651855(0.015290141380000996 0.015290141380000996)0.015290141380000996validvalid00.142823#f
(0.9999106526374817 0.2186764031648636 0.0014178496785461903)0.529015302658081(0.529015329376725 0.529015329376725)0.529015329376725validvalid00.135548#f
(0.9999242424964905 2.4849660462678003e-7 0.00802891980856657)0.0004978601937182248(0.0004978602201027318 0.0004978602201027318)0.0004978602201027318validvalid00.09425399999999999#f
(0.999978244304657 5.351305958356534e-7 0.010967453010380268)0.0007297901902347803(0.0007297902068964391 0.0007297902068964391)0.0007297902068964391validvalid00.122965#f
(0.9999436736106873 4.7578399971826e-5 0.05497720465064049)0.00649041123688221(0.0064904114557117355 0.0064904114557117355)0.0064904114557117355validvalid00.115785#f
(0.9999189376831055 9.496099551142834e-7 1.2899211476735672e-8)0.0009744797716848552(0.0009744797878223028 0.0009744797878223028)0.0009744797878223028validvalid00.092462#f
(0.9999734163284302 0.00048066690214909613 1.9693871422532538e-7)0.021929387003183365(0.021929387905871664 0.021929387905871664)0.021929387905871664validvalid00.091532#f
(0.999992847442627 0.0017426992999389768 0.00012970954412594438)0.04178205877542496(0.041782058865902805 0.041782058865902805)0.041782058865902805validvalid00.139157#f
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(0.9999822974205017 0.12712876498699188 3.51642164275745e-8)0.38163378834724426(0.3816337924286835 0.3816337924286835)0.3816337924286835validvalid00.13713399999999998#f
(0.9999263882637024 1.193113985209493e-5 0.9318593740463257)0.003142393659800291(0.0031423937487246533 0.0031423937487246533)0.0031423937487246533validvalid00.13546#f
(0.9999843239784241 0.00010778663272503763 1.7110370009731923e-8)0.010382593609392643(0.010382593699824055 0.010382593699824055)0.010382593699824055validvalid00.145015#f
(0.999924898147583 0.0006572848069481552 0.002535425592213869)0.025642741471529007(0.025642741887634764 0.025642741887634764)0.025642741887634764validvalid00.10378399999999999#f
(0.9999593496322632 0.022955743595957756 0.00812101922929287)0.15308158099651337(0.15308158350583245 0.15308158350583245)0.15308158350583245validvalid00.08167500000000001#f
(0.9999120831489563 0.04084819555282593 2.2542126032476517e-7)0.20636819303035736(0.20636819432079073 0.20636819432079073)0.20636819432079073validvalid00.091061#f
(0.9999393820762634 0.1724383383989334 4.736033787366978e-9)0.4564747214317322(0.4564747224460716 0.4564747224460716)0.4564747224460716validvalid00.137211#f
(0.9999692440032959 0.0004590376338455826 5.5963521816693174e-8)0.021430082619190216(0.021430082738188413 0.021430082738188413)0.021430082738188413validvalid00.140188#f
(0.9999414086341858 0.08135338872671127 1.3000778380956035e-5)0.29758673906326294(0.2975867454977574 0.2975867454977574)0.2975867454977574validvalid00.08434#f
Sollya timings
Total time spent in Sollya 991.0ms
Bogosity

preprocess145.0ms (2.1%)

Algorithm
egg-herbie
Rules
598×fma-define
190×fma-neg
130×sub-neg
102×associate-*l*
80×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043490
188482
2138482
3233474
4407474
5719474
6984474
71187474
81304474
91338474
101362474
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2)))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 #s(literal 1 binary32) cosTheta_i))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 #s(literal 1 binary32) u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 (neg.f32 u1) #s(literal -1 binary32)))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 #s(literal 1 binary32) cosTheta_i))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 #s(literal 1 binary32) cosTheta_i))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) cosTheta_i)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 #s(literal 1 binary32) u2))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u2 (-.f32 #s(literal 1 binary32) u2))) (cos.f32 (*.f32 u1 #s(literal 314159265359/50000000000 binary32))))
Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
12542
22942
33142
43242
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

soundness0.0ms (0%)

Stop Event
fuel
Compiler

Compiled 14 to 11 computations (21.4% saved)

preprocess29.0ms (0.4%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 168 to 132 computations (21.4% saved)

end0.0ms (0%)

Profiling

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