Logistic distribution

Time bar (total: 4.3min)

analyze79.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%24.7%75.3%0%0%0%0
0%0%24.7%75.3%0%0%0%1
0%0%24.7%75.3%0%0%0%2
0%0%24.7%75.3%0%0%0%3
0%0%24.7%75.3%0%0%0%4
50%12.4%12.4%75.3%0%0%0%5
50%12.4%12.4%75.3%0%0%0%6
75%18.5%6.2%75.3%0%0%0%7
75%18.5%6.2%75.3%0%0%0%8
87.5%21.6%3.1%75.3%0%0%0%9
87.5%21.6%3.1%75.3%0%0%0%10
93.7%23.2%1.5%75.3%0%0%0%11
93.7%23.2%1.5%75.3%0%0%0%12
Compiler

Compiled 35 to 16 computations (54.3% saved)

sample4.3min (99.6%)

Results
4.4s8256×0valid
1.7s7555×0valid-sollya
3.5s701×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(-9.674727206212771e-25 4.892172971072204e-20)5110203490949399000.0(5110203614095951000.0 5110203614095951000.0)5110203614095951000.0validvalid00.171494#f
(-5.750518117242365e-11 1.5870244580942054e-19)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(0.008208274841308594 0.011496172286570072)19.194353103637695(19.194353892988104 19.194353892988104)19.194353892988104validvalid00.163155#f
(-0.005806697066873312 0.0028697389643639326)35.93751525878906(35.937516255902814 35.937516255902814)35.937516255902814validvalid00.115315#f
(-1.776144991052449e-20 2.7718297695620252e-14)9019312832512.0(9019312901003.896 9019312901003.896)9019312901003.896validvalid00.129297#f
(4.322486441231182e-38 4.976514955279628e-30)5.023595851605638e+28(5.02359587475514e+28 5.02359587475514e+28)5.02359587475514e+28validvalid00.071237#f
(8263777459896320.0 1.6174523227763627e-18)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(10113.3212890625 1.0845359881700174e-14)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.246352854174554e-33 2.023952255392701e-29)1.2352069696834195e+28(1.2352069896053943e+28 1.2352069896053943e+28)1.2352069896053943e+28validvalid00.07024000000000001#f
(-2005385.75 1.3982489698171411e-36)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(6.705244330314415e-24 4.112429323238929e-24)3.3300397019312796e+22(3.3300397301857006e+22 3.3300397301857006e+22)3.3300397301857006e+22validvalid00.117209#f
(-1250988681854976.0 3.4713451892877556e-20)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-2.6466773072605747e+29 5.562069418374449e-6)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-4.553192168079583e-30 1.0089236639032606e-5)24778.880859375(24778.881588802833 24778.881588802833)24778.881588802833validvalid00.144292#f
(1.3707698233695876e-32 1.2208057550379e-34)1.4093586391786435e-15(1.4093586697521552e-15 1.4093586697521552e-15)1.4093586697521552e-15validvalid00.14894#f
(1.993235410040415e-37 1.5803367997769422e-20)15819412660627177000.0(1.581941267426579e+19 1.581941267426579e+19)1.581941267426579e+19validvalid00.06920899999999999#f
(8.50635305994787e+35 1.1091770051097465e-16)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.5950294162764156e-30 6.316300260600372e-10)395801312.0(395801323.061607 395801323.061607)395801323.061607validvalid00.14269900000000002#f
(-1794285952.0 2.3208012578379567e-7)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.4055868601797833e+31 1.4631732576429757e-36)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(3.1903166269800613e-27 3.5698604744629576e-18)70030747431337980.0(70030748201051050.0 70030748201051050.0)70030748201051050.0validvalid00.179#f
(2.1719211429397153e-37 1.5919602764647197e-23)1.570390891135275e+22(1.5703909431407247e+22 1.5703909431407247e+22)1.5703909431407247e+22validvalid00.13061#f
(-1.916309153943044e-27 2.2737174542194647e-35)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.292233886024621e-13 4.524725039090072e-9)55251976.0(55251976.037830845 55251976.037830845)55251976.037830845validvalid00.160171#f
(1.0546336853312176e+23 3.930940528273993e-18)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(393.46343994140625 2.925800046682525e-9)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.542373435043738e-26 3.313007309050285e-34)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(8.371089664203144e+26 3.0008043885989785e-26)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.6120544259825324e-37 8.064519171845873e-35)3.0999955959867404e+33(3.099995733610384e+33 3.099995733610384e+33)3.099995733610384e+33validvalid00.131231#f
(6.3550414966313215e-19 2.690702102153683e-31)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-819558.375 2.2507918014721905e-26)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.675583990660446e+22 2.2864191919200086e-29)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-8.11293767434685e-26 1.3923212626235082e-12)179556253696.0(179556260980.26593 179556260980.26593)179556260980.26593validvalid00.20478#f
(1.918398773170793e-8 2.6390752420334794e-17)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-9.164092375224281e-23 0.00022645069111604244)1103.9930419921875(1103.9930978699904 1103.9930978699904)1103.9930978699904validvalid00.18310099999999999#f
(-2.1029830262474674e+35 1.696904483594608e-8)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.8278659747274424e-23 3.2157492105175286e-18)77742378391175170.0(77742380898461540.0 77742380898461540.0)77742380898461540.0validvalid00.178892#f
(-8.977387743132062e-33 4.071788166342665e-35)0.0(4.344461827584886e-62 4.344461827584886e-62)4.344461827584886e-62validvalid00.1026#f
(5.369163446330494e-16 1.5067385202452323e-32)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-6.308346616615217e-25 1.5152329362978618e-32)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(55292.734375 0.009730015881359577)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-2.1185131087009394e+21 1.228903734483424e-27)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(5.997016030570904e-16 2.2619131797703286e-23)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-16122.9501953125 4.551259646934369e-10)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.0284896980316173e-29 8.107948355918837e-23)3.0833939884788375e+21(3.083394084737823e+21 3.083394084737823e+21)3.083394084737823e+21validvalid00.120034#f
(-5.485338593620631e-32 4.857253251717336e-25)5.146941716444133e+23(5.146941842318164e+23 5.146941842318164e+23)5.146941842318164e+23validvalid00.132446#f
(1.3940118446108397e-32 1.985789335498902e-18)125894519467016200.0(125894522410249010.0 125894522410249010.0)125894522410249010.0validvalid00.18081799999999998#f
(8905.9638671875 4.9007845310640606e-30)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.463291628126854e-38 1.1215533049835358e-5)22290.513671875(22290.514315204124 22290.514315204124)22290.514315204124validvalid00.140998#f
(1.3427689256060702e+34 5.429008706334175e-17)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.2372705519408254e-26 7.985823613272537e-35)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-7789784.5 0.0004354274133220315)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.424051863350443e-29 0.9538499712944031)0.26209571957588196(0.2620957252436067 0.2620957252436067)0.2620957252436067validvalid00.165167#f
(-8.104485582186699e-20 1.162782023444997e-11)21500160000.0(21500160387.69847 21500160387.69847)21500160387.69847validvalid00.184464#f
(1.332116723060608 4.478056449965984e-30)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-3.1046461669554217e-15 5.138930730605451e-13)486478086144.0(486478086480.93976 486478086480.93976)486478086480.93976validvalid00.17886000000000002#f
(1.253514525185799e-29 1.2679910356476857e-37)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.5498899573891854e+36 0.009747834876179695)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.4178651369580342e-14 9.220300634105172e-10)271140832.0(271140833.586803 271140833.586803)271140833.586803validvalid00.157522#f
(409.0929870605469 1.1460223504400346e-5)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.7881241759786235e-10 0.017326686531305313)14.428609848022461(14.428609852686366 14.428609852686366)14.428609852686366validvalid00.193639#f
(0.014942740090191364 1.9610693624549924e-10)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.9670382293234234e+30 5.012092472250708e-18)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-228642.90625 0.0008359792409464717)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.2400066568996106e-37 5.748975434309671e-22)4.348600857476402e+20(4.3486009438831365e+20 4.3486009438831365e+20)4.3486009438831365e+20validvalid00.129911#f
(-1.7025120560026057e-27 2.4026350475288322e-36)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.4803245394989257e+35 3.585662519294864e-18)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.217339008733971e-32 2.7159067334180256e-27)9.205028594547879e+25(9.205028910190125e+25 9.205028910190125e+25)9.205028910190125e+25validvalid00.12828699999999998#f
(-8292590248001536.0 0.061522625386714935)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.0172973818547262e-28 2.4545650353785792e-31)0.0(4.132033219118768e-150 4.132033219118768e-150)4.132033219118768e-150validvalid00.185529#f
(-0.00022495936718769372 0.003958313725888729)63.107234954833984(63.107236512606775 63.107236512606775)63.107236512606775validvalid00.247009#f
(56673868.0 7.388478053534124e-32)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.2875841523866983e+37 2.9343050043366093e-24)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-5.266913419067672e-27 6.777197251763021e-28)6.215196628920325e+23(6.215196629836493e+23 6.215196629836493e+23)6.215196629836493e+23validvalid00.132353#f
(-4.221148418583001e-33 1.564742575510536e-7)1597706.875(1597706.8938539703 1597706.8938539703)1597706.8938539703validvalid00.166087#f
(-5.496603035403345e-39 4.945330387898076e-29)5.055273840150213e+27(5.055273973439377e+27 5.055273973439377e+27)5.055273973439377e+27validvalid00.158009#f
(-3.743329121719867e-21 3.8836609709408387e-13)643722510336.0(643722513037.5787 643722513037.5787)643722513037.5787validvalid00.17452900000000002#f
(3.3712533463326416e-21 4.604275879990047e-29)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.1683637113675843e-22 5.417654494374027e-15)46145430618112.0(46145430695075.32 46145430695075.32)46145430695075.32validvalid00.18538#f
(-1.9721502909002665e-24 3.690590119731496e-6)67739.84375(67739.84427677067 67739.84427677067)67739.84427677067validvalid00.196446#f
(3.117180206666228e-22 9.249684414529485e-24)250021520.0(250021520.13763577 250021520.13763577)250021520.13763577validvalid00.175921#f
(1.4798484034117911e-15 1.241956360607398e-32)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.2978156543602094e-19 7.630978258574641e-34)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-6900003.5 0.015746867284178734)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(8.868691900730299e-20 1.2888935787636093e-25)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-8.700362652547255e-10 3.5920634522401684e-11)0.8425160646438599(0.8425160895762678 0.8425160895762678)0.8425160895762678validvalid00.171061#f
(2.047795675252928e-7 8.69788567765825e-25)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(3.403977984614303e-19 4.639597206465928e-27)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-2.243473460397929e-37 4.309167745799445e-32)5.801584233446182e+30(5.801584313862106e+30 5.801584313862106e+30)5.801584313862106e+30validvalid00.111357#f
(4.299578120001311e+20 3.6695326443796114e-39)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.934394603784218e-26 1.1648946838249685e-6)214611.671875(214611.67560582995 214611.67560582995)214611.67560582995validvalid00.11021500000000001#f
(-7.66081029723864e-6 6.918762629966566e-39)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.654409345621274e-24 1.4528959013659914e-7)1720701.375(1720701.3920608743 1720701.3920608743)1720701.3920608743validvalid00.172841#f
(-3.635514644884097e-8 8.578495425126675e-8)2787232.0(2787232.0040467028 2787232.0040467028)2787232.0040467028validvalid00.166409#f
(-1.6746551990509033 9.847553172903645e-8)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(3.9142398551041236e-19 7.201693423815965e-19)322714737290772500.0(322714737344998850.0 322714737344998850.0)322714737344998850.0validvalid00.171756#f
(4.1524492608678075e+34 2.970202093636044e-27)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.731883632613e-35 2.6624918518791674e-6)93897.0(93897.00097055765 93897.00097055765)93897.00097055765validvalid00.128245#f
(1.0441463649129303e-17 2.457813000237648e-25)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.334417227977052e-23 4.787487189945995e-19)522194596432707600.0(522194608638239550.0 522194608638239550.0)522194608638239550.0validvalid00.095146#f
(-1.7085223502984314e-35 7.293323016430708e-34)3.4273224939955384e+32(3.4273225584968475e+32 3.4273225584968475e+32)3.4273225584968475e+32validvalid00.12135699999999999#f
(-0.05707201361656189 0.0008875199127942324)1.33196526092916e-25(1.3319652966667563e-25 1.3319652966667563e-25)1.3319652966667563e-25validvalid00.151391#f
(3.490187721445828e-22 5.0697089106374764e-18)49312495210332160.0(49312495867212696.0 49312495867212696.0)49312495867212696.0validvalid00.180779#f
(-1.7416024456601173e-20 8.536462559050051e-8)2928613.5(2928613.5594299417 2928613.5594299417)2928613.5594299417validvalid00.25041#f
(-8.944969522417523e-6 1.7222756424142838e-12)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(4.911951364752194e+37 9.951199773118885e-34)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.7832225896418095e-5 1.558435672177616e-11)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-8.664026112128787e-34 6.308524614203009e-35)1.7200487947047838e+28(1.7200488463832882e+28 1.7200488463832882e+28)1.7200488463832882e+28validvalid00.135274#f
(2.6333335190303983e-21 3.2717445916250138e-15)76411830272000.0(76411832586170.56 76411832586170.56)76411832586170.56validvalid00.176841#f
(-37054.98046875 0.00018124871712643653)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(130896306176.0 1.004833152448703e-12)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.0654024399807715e-30 2.7443681375401507e-20)9109564886798565000.0(9109565024467949000.0 9109565024467949000.0)9109565024467949000.0validvalid00.160517#f
(3.0058751043782195e-9 6.187050166772678e-5)4040.69775390625(4040.69779804105 4040.69779804105)4040.69779804105validvalid00.175631#f
(7.860819438894227e-22 9.86981448022619e-25)0.0(1.3e-322 1.3e-322)1.3e-322validvalid00.189308#f
(-1.3181616373828171e+23 1.3040834552632483e-16)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.4767174615186954e-31 1.1825899285974385e-32)6.786804392337287e+22(6.786804504775579e+22 6.786804504775579e+22)6.786804504775579e+22validvalid00.121358#f
(9.546450752044866e-29 0.0016579210059717298)150.791259765625(150.7912615254378 150.7912615254378)150.7912615254378validvalid00.173624#f
(6.497367576230317e-5 0.05565701425075531)4.491795063018799(4.491795296422143 4.491795296422143)4.491795296422143validvalid00.178187#f
(-7.339241387433548e-25 1.1418519463290977e-9)218942576.0(218942570.27254432 218942570.27254432)+nan.0validexit00.267498#f
(-31.200849533081055 3.1275815217668423e-6)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.8292377841200991e-26 2.731390810193768e-23)9.1528451037402e+21(9.152845174519679e+21 9.152845174519679e+21)9.152845174519679e+21validvalid00.128008#f
(-1.338483944793083e-17 1.4974186052594027e-25)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(6.706094229332177e-26 0.012546436861157417)19.925975799560547(19.925976017460094 19.925976017460094)19.925976017460094validvalid00.160579#f
(3.5028591142865226e-29 5.8710708602670555e-24)4.258166958477686e+22(4.258166967284798e+22 4.258166967284798e+22)4.258166967284798e+22validvalid00.126281#f
(8.610461232905209e-10 6.925291472725803e-6)36099.5625(36099.563465077175 36099.563465077175)36099.563465077175validvalid00.158424#f
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(-5.445347632957183e-34 8.06986354990738e-20)3097945754392592400.0(3097945813505970700.0 3097945813505970700.0)3097945813505970700.0validvalid00.069478#f
(-4.082425637640238e-15 0.32373830676078796)0.7722286581993103(0.7722286636432135 0.7722286636432135)0.7722286636432135validvalid00.102867#f
(-8.565333695298325e-23 2.720315108819824e-30)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.7299999644863996e-18 1.480164122535171e-18)122195813890785280.0(122195816955882270.0 122195816955882270.0)122195816955882270.0validvalid00.218142#f
(1.1406314015524675e-15 6.1755585479078825e-24)0.0(+nan.0 +nan.0)+nan.0validexit05.0#f
Sollya timings
Total time spent in Sollya 5.2s
Bogosity

preprocess562.0ms (0.2%)

Algorithm
egg-herbie
Rules
1386×div-sub
1316×fma-neg
1038×fma-define
906×times-frac
568×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043782
1156734
2497717
31530711
44457711
57634711
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s))))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s)))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 (neg.f32 x))) s))))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (fma.f32 s (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) s) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))) (*.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)))))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (neg.f32 s) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)))
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)))))
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x)) (*.f32 x (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 s)) x))))))
(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x))) x) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x)))))
(/.f32 (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x))) (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 s) (neg.f32 x)))) (+.f32 x (/.f32 x (exp.f32 (/.f32 (fabs.f32 s) x))))))
Symmetry

(abs x)

Compiler

Compiled 28 to 11 computations (60.7% saved)

eval1.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Compiler

Compiled 56 to 22 computations (60.7% saved)

simplify38.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017106
130106
236106
341106
444106
545106
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
Outputs
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))))
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))))

soundness2.0ms (0%)

Stop Event
fuel
Compiler

Compiled 28 to 11 computations (60.7% saved)

preprocess237.0ms (0.1%)

Remove

(abs x)

Compiler

Compiled 224 to 88 computations (60.7% saved)

end0.0ms (0%)

Profiling

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