{"bit_width":32,"date":1469201260,"note":"libraries","iterations":2,"flags":["rules:arithmetic","rules:polynomials","rules:fractions","rules:exponents","rules:trigonometry","setup:simplify","reduce:post-process","reduce:regimes","reduce:taylor","reduce:simplify","reduce:avg-error","generate:rr","generate:taylor","generate:simplify"],"seed":"#(1065798049 1883600560 3605051291 3538956307 2647170081 378541646)","points":256,"tests":[{"samplers":["default","default","default","default"],"bits":128,"start":17.37114475545847,"link":"0-powComplexrealpart","pinf":0,"ninf":0,"vars":["x.re","x.im","y.re","y.im"],"input":"(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))","time":20251.825927734375,"target":false,"output":"(if (<= x.re 3.5699073f-38) (/ (cos (+ (* y.re (atan2 x.im x.re)) (* (log (- x.re)) y.im))) (/ (pow (exp y.im) (atan2 x.im x.re)) (pow (- x.re) y.re))) (/ (cos (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (/ (pow (exp y.im) (atan2 x.im x.re)) (pow x.re y.re))))","end":2.2898029366029182,"name":"powComplex, real part","status":"imp-start","end-est":7.054933468054421},{"samplers":["default","default","default","default"],"bits":128,"start":19.048654402742397,"link":"1-powCompleximaginarypart","pinf":0,"ninf":0,"vars":["x.re","x.im","y.re","y.im"],"input":"(* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re))))","time":21845.192138671875,"target":false,"output":"(if (<= x.re 3.5699073f-38) (/ (sin (+ (* y.re (atan2 x.im x.re)) (* (log (- x.re)) y.im))) (/ (pow (exp y.im) (atan2 x.im x.re)) (pow (- x.re) y.re))) (/ (sin (+ (* y.im (log x.re)) (* y.re (atan2 x.im x.re)))) (/ (pow (exp y.im) (atan2 x.im x.re)) (pow x.re y.re))))","end":2.401275841497313,"name":"powComplex, imaginary part","status":"imp-start","end-est":10.388550340975646},{"samplers":["(uniform 0 1)","(uniform 0 1)"],"bits":128,"start":0.4664289055619787,"link":"2-normaldistribution","pinf":0,"ninf":0,"vars":["u1","u2"],"input":"(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)","time":8368.99609375,"target":false,"output":"(+ 0.5 (/ (pow (* -2 (cube (cbrt (log u1)))) 0.5) (/ 6 (cos (* PI (* u2 2))))))","end":0.4811751421660574,"name":"normal distribution","status":"ex-start","end-est":0.4137751586104001},{"samplers":["default","default"],"bits":128,"start":0.030065200054965466,"link":"3-mathsquareoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(- (* re re) (* im im))","time":4638.41796875,"target":false,"output":"(* (+ re im) (- re im))","end":0.00725,"name":"math.square on complex, real part","status":"ex-start","end-est":0.01171875},{"samplers":["default","default"],"bits":128,"start":0.026375,"link":"4-mathsquareoncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(+ (* re im) (* im re))","time":2075.072998046875,"target":false,"output":"(* re (+ im im))","end":0.05017358342845145,"name":"math.square on complex, imaginary part","status":"ex-start","end-est":0},{"samplers":["default","default"],"bits":128,"start":13.893688907655102,"link":"5-mathsqrtoncompleximaginarypartimgreaterthan0branch","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* 0.5 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))","time":16332.72705078125,"target":false,"output":"(* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (+ re im)) (sqrt (- re im))) 1) re))))","end":0.47393628778136127,"name":"math.sqrt on complex, imaginary part, im greater than 0 branch","status":"imp-start","end-est":0.3594828780310539},{"samplers":["default","default"],"bits":128,"start":0.08574117466028805,"link":"6-mathsinoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))","time":13399.667236328125,"target":false,"output":"(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))","end":0.08574117466028805,"name":"math.sin on complex, real part","status":"ex-start","end-est":0.05078125},{"samplers":["default","default"],"bits":128,"start":14.818514125130337,"link":"7-mathlog10oncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))","time":9495.5009765625,"target":false,"output":"(if (<= re -4.0233915f+09) (/ (log (- re)) (log 10)) (if (<= re 1.1667896f+15) (* (/ 1/2 1) (/ (log (+ (sqr re) (* im im))) (log 10))) (/ (log re) (log 10))))","end":6.426057051114132,"name":"math.log10 on complex, real part","status":"imp-start","end-est":7.541415249840934},{"samplers":["default","default"],"bits":128,"start":0.4992712406251803,"link":"8-mathlog10oncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(/ (atan2 im re) (log 10))","time":4035.871826171875,"target":false,"output":"(/ (cube (cbrt (atan2 im re))) (log 10))","end":0.24835232189392653,"name":"math.log10 on complex, imaginary part","status":"ex-start","end-est":0.27410762930507393},{"samplers":["default","default","default"],"bits":128,"start":14.656671711985826,"link":"9-mathlog2oncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im","base"],"input":"(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))","time":17552.2890625,"target":false,"output":"(if (<= re -1.674345f+14) (/ (log (- re)) (log base)) (if (<= re 1.695064f+08) (/ (+ (pow (* (log base) (log (sqrt (+ (sqr re) (* im im))))) 1) 0) (* (log base) (log base))) (/ (log re) (log base))))","end":6.473840088918368,"name":"math.log/2 on complex, real part","status":"imp-start","end-est":7.169086607050518},{"samplers":["default","default","default"],"bits":128,"start":14.82427692754398,"link":"10-mathlog2oncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im","base"],"input":"(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))","time":7796.240966796875,"target":false,"output":"(/ (- (atan2 im re) 0) (log base))","end":0.38017481250360596,"name":"math.log/2 on complex, imaginary part","status":"imp-start","end-est":0.38119125976844204},{"samplers":["default","default"],"bits":128,"start":14.677022044026572,"link":"11-mathlog1oncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(log (sqrt (+ (* re re) (* im im))))","time":4721.97802734375,"target":false,"output":"(if (<= re -4.0233915f+09) (log (- re)) (if (<= re 1.1667896f+15) (* 1/2 (log (+ (sqr re) (* im im)))) (log re)))","end":6.205411805013221,"name":"math.log/1 on complex, real part","status":"imp-start","end-est":7.343733348338536},{"samplers":["default","default"],"bits":128,"start":0.225125,"link":"12-mathlog1oncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(atan2 im re)","time":2164.06005859375,"target":false,"output":"(atan2 im re)","end":0.225125,"name":"math.log/1 on complex, imaginary part","status":"ex-start","end-est":0.203125},{"samplers":["default","default"],"bits":128,"start":0.03557312031259015,"link":"13-mathexponcomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (exp re) (cos im))","time":3051.880126953125,"target":false,"output":"(* (exp re) (cos im))","end":0.03557312031259015,"name":"math.exp on complex, real part","status":"ex-start","end-est":0.02734375},{"samplers":["default","default"],"bits":128,"start":0.08772625253423887,"link":"14-mathexponcompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (exp re) (sin im))","time":3975.173828125,"target":false,"output":"(* (exp re) (sin im))","end":0.08772625253423887,"name":"math.exp on complex, imaginary part","status":"ex-start","end-est":0.03125},{"samplers":["default","default"],"bits":128,"start":3.1671286194037482,"link":"15-mathcubeoncomplexrealpart","pinf":0,"ninf":0,"vars":["x.re","x.im"],"input":"(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))","time":11122.328857421875,"target":false,"output":"(+ (* (sqr x.re) x.re) (* (* x.im x.re) (- (- x.im) (+ x.im x.im))))","end":0.24536546446799515,"name":"math.cube on complex, real part","status":"imp-start","end-est":0.26695253907376804},{"samplers":["default","default"],"bits":128,"start":3.3669507626070634,"link":"16-mathcubeoncompleximaginarypart","pinf":0,"ninf":0,"vars":["x.re","x.im"],"input":"(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))","time":16536.405029296875,"target":false,"output":"(* x.im (+ (* (+ x.re x.re) x.re) (pow (* (+ x.re x.im) (- x.re x.im)) 1)))","end":3.4079812421116826,"name":"math.cube on complex, imaginary part","status":"apx-start","end-est":2.611465458667878},{"samplers":["default","default"],"bits":128,"start":0.04132238622277849,"link":"17-mathcosoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))","time":9724.9619140625,"target":false,"output":"(* (* 0.5 (cos re)) (exp (log (+ (exp (- im)) (exp im)))))","end":0.062374642477465936,"name":"math.cos on complex, real part","status":"ex-start","end-est":0.04753876953688403},{"samplers":["default","default"],"bits":128,"start":0.225125,"link":"18-mathargoncomplex","pinf":0,"ninf":0,"vars":["re","im"],"input":"(atan2 im re)","time":1853.291015625,"target":false,"output":"(atan2 im re)","end":0.225125,"name":"math.arg on complex","status":"ex-start","end-est":0.203125},{"samplers":["default","default"],"bits":128,"start":13.414548850476766,"link":"19-mathabsoncomplex","pinf":0,"ninf":0,"vars":["re","im"],"input":"(sqrt (+ (* re re) (* im im)))","time":6866.863037109375,"target":false,"output":"(if (<= re -3.1677181f+13) (- re) (if (<= re 1.1667896f+15) (sqrt (+ (sqr re) (* im im))) (+ re (/ (* 1/2 im) (/ re im)))))","end":6.07142472002244,"name":"math.abs on complex","status":"imp-start","end-est":7.505623560973333},{"samplers":["default","default","default","default"],"bits":128,"start":0.041865601562950716,"link":"20-_multiplyComplexrealpart","pinf":0,"ninf":0,"vars":["x.re","x.im","y.re","y.im"],"input":"(- (* x.re y.re) (* x.im y.im))","time":4552.408935546875,"target":false,"output":"(- (* x.re y.re) (* x.im y.im))","end":0.041865601562950716,"name":"_multiplyComplex, real part","status":"ex-start","end-est":0.0390625},{"samplers":["default","default","default","default"],"bits":128,"start":0.04462012326451991,"link":"21-_multiplyCompleximaginarypart","pinf":0,"ninf":0,"vars":["x.re","x.im","y.re","y.im"],"input":"(+ (* x.re y.im) (* x.im y.re))","time":4764.224853515625,"target":false,"output":"(+ (* x.re y.im) (* x.im y.re))","end":0.04462012326451991,"name":"_multiplyComplex, imaginary part","status":"ex-start","end-est":0.06640625},{"samplers":["default","default","default","default"],"bits":128,"start":14.365148959740496,"link":"22-_divideComplexrealpart","pinf":0,"ninf":0,"vars":["x.re","x.im","y.re","y.im"],"input":"(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))","time":9870.51806640625,"target":false,"output":"(if (<= y.re -1.674345f+14) (+ (/ x.re y.re) (* (/ y.im y.re) (/ x.im y.re))) (if (<= y.re -1.8106279f-24) (/ 1 (/ (+ (sqr y.re) (* y.im y.im)) (+ (* y.re x.re) (* x.im y.im)))) (if (<= y.re 2.9946338f-12) (/ x.im y.im) (if (<= y.re 6.144087f+15) (/ 1 (/ (+ (sqr y.re) (* y.im y.im)) (+ (* y.re x.re) (* x.im y.im)))) (+ (/ x.re y.re) (* (/ y.im y.re) (/ x.im y.re)))))))","end":3.6537355576326997,"name":"_divideComplex, real part","status":"imp-start","end-est":5.802489391313238},{"samplers":["default","default","default","default"],"bits":128,"start":12.898142475965095,"link":"23-_divideCompleximaginarypart","pinf":0,"ninf":0,"vars":["x.re","x.im","y.re","y.im"],"input":"(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))","time":12548.302001953125,"target":false,"output":"(if (<= y.re -4.1667425f+09) (- (/ x.im y.re) (* (/ y.im y.re) (/ x.re y.re))) (if (<= y.re 6.144087f+15) (/ (- (* x.im y.re) (* x.re y.im)) (sqr (sqrt (+ (sqr y.re) (* y.im y.im))))) (- (/ x.im y.re) (* (/ y.im y.re) (/ x.re y.re)))))","end":5.620274424181904,"name":"_divideComplex, imaginary part","status":"imp-start","end-est":7.0851395688468175},{"samplers":["default","default"],"bits":128,"start":0.15706983145986042,"link":"24-Octave38oct_fill_randg","pinf":0,"ninf":0,"vars":["a","rand"],"input":"(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))","time":18927.93896484375,"target":false,"output":"(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (* (sqrt 9) (sqrt (- a (/ 1.0 3.0))))) rand)))","end":0.10185277893769566,"name":"Octave 3.8, oct_fill_randg","status":"ex-start","end-est":0.1171875},{"samplers":["default"],"bits":128,"start":20.820457965990347,"link":"25-Octave38jcobi4ascalled","pinf":0,"ninf":0,"vars":["i"],"input":"(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))","time":10600.005859375,"target":false,"output":"(if (<= i 14.010054f0) (/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0)) (+ (+ 1/16 (/ 0.00390625 (pow i 4))) (/ 0.015625 (* i i))))","end":0.022035364276380833,"name":"Octave 3.8, jcobi/4, as called","status":"imp-start","end-est":0.0078125},{"samplers":["default","default","default"],"bits":128,"start":25.650785847191507,"link":"26-Octave38jcobi4","pinf":0,"ninf":0,"vars":["alpha","beta","i"],"input":"(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))","time":191882.22412109375,"target":false,"output":"(if (<= (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) 4.7962613f+36) (/ (/ (* i (+ beta (+ i alpha))) (sqr (/ (+ (+ beta alpha) (* 2 i)) (sqrt (+ (* alpha beta) (* i (+ beta (+ i alpha)))))))) (- (sqr (+ (+ beta alpha) (* 2 i))) 1.0)) (* (/ 1/4 4) (exp (/ 0.25 (* i i)))))","end":5.30916266328521,"name":"Octave 3.8, jcobi/4","status":"imp-start","end-est":6.893325001872676},{"samplers":["default","default"],"bits":128,"start":1.7627435962284932,"link":"27-Octave38jcobi3","pinf":0,"ninf":0,"vars":["alpha","beta"],"input":"(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))","time":35908.201904296875,"target":false,"output":"(/ (* (+ (+ alpha 1.0) (+ beta (* beta alpha))) (/ 1 (+ alpha (+ 2 beta)))) (* (+ (+ alpha 1.0) (+ 2 beta)) (+ alpha (+ 2 beta))))","end":2.461136143692305,"name":"Octave 3.8, jcobi/3","status":"apx-start","end-est":2.2203370217298826},{"samplers":["default","default","default"],"bits":128,"start":11.19110688872788,"link":"28-Octave38jcobi2","pinf":0,"ninf":0,"vars":["alpha","beta","i"],"input":"(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0) 2.0)","time":40507.553955078125,"target":false,"output":"(if (<= (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) -4.295287f+07) (/ (+ (- (/ 8.0 (cube alpha)) (/ (/ 4.0 alpha) alpha)) (/ 2.0 alpha)) 2.0) (/ (+ (/ (pow (* (/ (+ alpha beta) 1) (/ (- beta alpha) (+ (+ alpha beta) (* 2 i)))) 1) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0) 2.0))","end":0.15346449599589418,"name":"Octave 3.8, jcobi/2","status":"imp-start","end-est":3.6357389791680026},{"samplers":["default","default"],"bits":128,"start":6.701865262571748,"link":"29-Octave38jcobi1","pinf":0,"ninf":0,"vars":["alpha","beta"],"input":"(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 2.0)","time":18026.114990234375,"target":false,"output":"(if (<= (/ (- beta alpha) (+ (+ alpha beta) 2.0)) -0.99999994f0) (+ (- (/ (/ beta 2.0) (+ alpha (+ 2.0 beta))) (/ (/ 4.0 (* alpha alpha)) 2.0)) (/ (+ (/ 2.0 alpha) (/ 8.0 (cube alpha))) 2.0)) (/ (+ (/ (- beta alpha) (pow (+ (+ alpha beta) 2.0) 1)) 1.0) 2.0))","end":0.27281232943216704,"name":"Octave 3.8, jcobi/1","status":"imp-start","end-est":1.3821040630171797},{"samplers":["default"],"bits":128,"start":0.27869812031259017,"link":"30-JmatReallambertwestimator","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log x) (log (log x)))","time":6291.955078125,"target":false,"output":"(log (/ x (log x)))","end":0.024875,"name":"Jmat.Real.lambertw, estimator","status":"ex-start","end-est":0.0234375},{"samplers":["default"],"bits":128,"start":false,"link":"31-JmatRealgammabranchzlessthan05","pinf":false,"ninf":false,"vars":["z"],"input":"(* (/ PI (sin (* PI z))) (* (* (* (sqrt (* PI 2)) (pow (+ (+ (- (- 1 z) 1) 7) 0.5) (+ (- (- 1 z) 1) 0.5))) (exp (- (+ (+ (- (- 1 z) 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- (- 1 z) 1) 1))) (/ -1259.1392167224028 (+ (- (- 1 z) 1) 2))) (/ 771.3234287776531 (+ (- (- 1 z) 1) 3))) (/ -176.6150291621406 (+ (- (- 1 z) 1) 4))) (/ 12.507343278686905 (+ (- (- 1 z) 1) 5))) (/ -0.13857109526572012 (+ (- (- 1 z) 1) 6))) (/ 9.984369578019572e-06 (+ (- (- 1 z) 1) 7))) (/ 1.5056327351493116e-07 (+ (- (- 1 z) 1) 8)))))","time":600000,"target":false,"output":"#f","end":false,"name":"Jmat.Real.gamma, branch z less than 0.5","status":"timeout","end-est":false},{"samplers":["default"],"bits":128,"start":28.423619183783853,"link":"32-JmatRealgammabranchzgreaterthan05","pinf":0,"ninf":0,"vars":["z"],"input":"(* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1) 1))) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8))))","time":86901.51879882812,"target":false,"output":"(- (+ (* 2585.1948787825354 (* (/ (* z (sqrt 2)) (exp 6.5)) (* (sqrt PI) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) (+ (* 338.26018406094255 (* (/ (* z (* (sqrt 2) (sqr (log 6.5)))) (exp 6.5)) (* (sqrt PI) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) (+ (* 676.5203681218851 (* (/ (sqrt 2) (* (exp 6.5) z)) (* (sqrt PI) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) (* 676.5203681218851 (* (/ (* (sqrt 2) (log 6.5)) (exp 6.5)) (* (sqrt PI) (pow (/ 1 (pow 6.5 1.0)) 0.5))))))) (+ (* 1656.8104518737205 (* (/ (sqrt 2) (exp 6.5)) (* (sqrt PI) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) (* 1656.8104518737205 (* (/ (* z (* (sqrt 2) (log 6.5))) (exp 6.5)) (* (sqrt PI) (pow (/ 1 (pow 6.5 1.0)) 0.5))))))","end":0.152375,"name":"Jmat.Real.gamma, branch z greater than 0.5","status":"imp-start","end-est":0.9774485126596663},{"samplers":["default"],"bits":128,"start":0.3415,"link":"33-JmatRealerfibranchxlessthanorequalto05","pinf":0,"ninf":0,"vars":["x"],"input":"(fabs (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))","time":24102.8759765625,"target":false,"output":"(fabs (/ (+ (+ (* 2 (fabs x)) (* (* (fabs x) (/ 2 3)) (sqr (fabs x)))) (+ (/ (sqr (cube (fabs x))) (/ 21 (fabs x))) (/ (* (cube (fabs x)) (sqr (fabs x))) 5))) (sqrt PI)))","end":0.36875,"name":"Jmat.Real.erfi, branch x less than or equal to 0.5","status":"ex-start","end-est":0.34765625},{"samplers":["default"],"bits":128,"start":0.6821891759980019,"link":"34-JmatRealerfibranchxgreaterthanorequalto5","pinf":0,"ninf":0,"vars":["x"],"input":"(* (* (/ 1 (sqrt PI)) (exp (* (fabs x) (fabs x)))) (+ (+ (+ (/ 1 (fabs x)) (* (/ 1 2) (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 3 4) (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))) (* (/ 15 8) (* (* (* (* (* (* (/ 1 (fabs x)) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))) (/ 1 (fabs x))))))","time":70978.40209960938,"target":false,"output":"(/ (+ (+ (+ (/ (cube (/ 1 (fabs x))) 2) (/ 1 (fabs x))) (* (* (cube (/ 1 (fabs x))) (sqr (sqrt (/ (/ 3 4) (fabs x))))) (/ 1 (fabs x)))) (* (/ 15 8) (/ (sqr (cube (/ 1 (fabs x)))) (fabs x)))) (/ (sqrt PI) (exp (* (fabs x) (fabs x)))))","end":0.6806160556854117,"name":"Jmat.Real.erfi, branch x greater than or equal to 5","status":"ex-start","end-est":0.6286438720846638},{"samplers":["default"],"bits":128,"start":12.192561522967134,"link":"35-JmatRealerf","pinf":0,"ninf":0,"vars":["x"],"input":"(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))","time":29093.998046875,"target":false,"output":"(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (/ (cbrt (cube (- (sqr -1.453152027) (sqr (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))) (- -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))))))))))) (exp (- (* (fabs x) (fabs x))))))","end":10.450785814687439,"name":"Jmat.Real.erf","status":"imp-start","end-est":9.717172866886965},{"samplers":["default"],"bits":128,"start":14.274650598849313,"link":"36-JmatRealdawson","pinf":0,"ninf":0,"vars":["x"],"input":"(* (/ (+ (+ (+ (+ (+ 1 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x)","time":34960.01806640625,"target":false,"output":"(* (/ (- x) (+ (* (* (cube x) (- (cube x))) (+ (+ 0.0694555761 (* x (* 0.0140005442 x))) (* (+ (* (* x 2) (* 0.0001789971 x)) 0.0008327945) (* (sqr x) (sqr x))))) (+ (* (* (- x) x) (+ 0.7715471019 (* 0.2909738639 (sqr x)))) (- 1)))) (+ (+ (+ (* (* x 0.0424060604) (cube x)) (+ (* (* x x) 0.1049934947) 1)) (* (* (* x x) 0.0001789971) (* (* (* x x) (* x x)) (* (* x x) (* x x))))) (* (* x x) (* (* (* x x) (* x x)) (+ 0.0072644182 (* (* 0.0005064034 x) x))))))","end":14.110054689213724,"name":"Jmat.Real.dawson","status":"apx-start","end-est":16.328311063523568},{"samplers":["default","default"],"bits":128,"start":18.712706342316302,"link":"37-mathsqrtoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))","time":8164.123046875,"target":16.395475263692347,"output":"(if (<= re -1.7812046f-12) (/ (* 0.5 (sqrt (* (* im im) 2.0))) (sqrt (- (- re) re))) (if (<= re 1.1667896f+15) (* 0.5 (sqrt (* 2.0 (+ (sqr (sqrt (sqrt (+ (sqr re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))","end":9.466456764224251,"name":"math.sqrt on complex, real part","status":"gt-target","end-est":11.182951886978694},{"samplers":["default","default"],"bits":128,"start":25.03167360656076,"link":"38-mathsinoncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))","time":13525.6201171875,"target":4.846275916130145,"output":"(* (- (+ (* 1/60 (pow im 5)) (+ (* 2 im) (* 1/3 (pow im 3))))) (* (cos re) 0.5))","end":0.4049468978391203,"name":"math.sin on complex, imaginary part","status":"gt-target","end-est":1.248565200573854},{"samplers":["default"],"bits":128,"start":0.13025,"link":"39-mathcubeonreal","pinf":0,"ninf":0,"vars":["x"],"input":"(* (* x x) x)","time":1429.662841796875,"target":0.07575,"output":"(pow x 3)","end":0.07575,"name":"math.cube on real","status":"eq-target","end-est":0.08203125},{"samplers":["default","default"],"bits":128,"start":20.4008443003725,"link":"40-mathcosoncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))","time":12856.72412109375,"target":5.845669327573297,"output":"(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (+ (* 2 im) (* 1/3 (pow im 3))))))","end":1.474871917497888,"name":"math.cos on complex, imaginary part","status":"gt-target","end-est":1.2586512727161994},{"samplers":["default","default"],"bits":128,"start":9.571834970501012,"link":"41-JmatReallambertwnewtonloopstep","pinf":0,"ninf":0,"vars":["wj","x"],"input":"(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))","time":9391.721923828125,"target":1.891402669045289,"output":"(if (<= wj 0.30789185f0) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (- wj (/ wj (+ 1 wj))) (/ x (+ (exp wj) (* wj (exp wj))))))","end":0.4942828048215097,"name":"Jmat.Real.lambertw, newton loop step","status":"gt-target","end-est":0.8487995935444997},{"samplers":["default"],"bits":128,"start":0.12383385196405472,"link":"42-FastMathtest5","pinf":0,"ninf":0,"vars":["d1"],"input":"(* (* d1 (* (* (* (* (* d1 (* d1 d1)) d1) d1) (* d1 d1)) d1)) d1)","time":5533.352783203125,"target":0.06437048906511415,"output":"(pow d1 (+ (+ 2 3) (+ 2 3)))","end":0.06437048906511415,"name":"FastMath test5","status":"eq-target","end-est":0.06478500976844201},{"samplers":["default","default","default"],"bits":128,"start":0.1118754371896721,"link":"43-FastMathtest3","pinf":0,"ninf":0,"vars":["d1","d2","d3"],"input":"(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))","time":5880.300048828125,"target":0.07729903967784735,"output":"(* d1 (+ (+ 3 d2) d3))","end":0.07729903967784735,"name":"FastMath test3","status":"eq-target","end-est":0.078125},{"samplers":["default","default"],"bits":128,"start":0.20274512326451988,"link":"44-FastMathtest2","pinf":0,"ninf":0,"vars":["d1","d2"],"input":"(+ (+ (* d1 10) (* d1 d2)) (* d1 20))","time":3622.89404296875,"target":0.03675,"output":"(* d1 (+ d2 30))","end":0.03675,"name":"FastMath test2","status":"eq-target","end-est":0.046875},{"samplers":["default"],"bits":128,"start":0.26675,"link":"45-FastMathtest1","pinf":0,"ninf":0,"vars":["d"],"input":"(+ (* d 10) (* d 20))","time":1053.363037109375,"target":0,"output":"(* d (+ 10 20))","end":0,"name":"FastMath test1","status":"eq-target","end-est":0},{"samplers":["default"],"bits":128,"start":0.1390212406251803,"link":"46-FastMathrepmul","pinf":0,"ninf":0,"vars":["d1"],"input":"(* (* (* d1 d1) d1) d1)","time":2133.89306640625,"target":0.06525,"output":"(pow d1 4)","end":0.06525,"name":"FastMath repmul","status":"eq-target","end-est":0.05078125},{"samplers":["default","default","default","default"],"bits":128,"start":0.10314363217613941,"link":"47-FastMathdist4","pinf":0,"ninf":0,"vars":["d1","d2","d3","d4"],"input":"(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))","time":11518.367919921875,"target":0.087,"output":"(+ (* d1 (+ d4 d2)) (* d1 (- (+ d3 d1))))","end":0.09853966928873759,"name":"FastMath dist4","status":"eq-target","end-est":0.0625},{"samplers":["default","default","default"],"bits":128,"start":0.10128758844630774,"link":"48-FastMathdist3","pinf":0,"ninf":0,"vars":["d1","d2","d3"],"input":"(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))","time":8590.627197265625,"target":0.07515584257481164,"output":"(* d1 (+ (+ d2 d3) (+ 5 32)))","end":0.07303084257481164,"name":"FastMath dist3","status":"eq-target","end-est":0.0859375},{"samplers":["default","default","default"],"bits":128,"start":0.057815346052994314,"link":"49-FastMathdist","pinf":0,"ninf":0,"vars":["d1","d2","d3"],"input":"(+ (* d1 d2) (* d1 d3))","time":3352.27392578125,"target":0.047625,"output":"(* d1 (+ d2 d3))","end":0.047625,"name":"FastMath dist","status":"eq-target","end-est":0.05078125}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}