{"bit_width":32,"date":1467729863,"note":"libraries","iterations":3,"flags":["rules:numerics","rules:arithmetic","rules:polynomials","rules:fractions","rules:exponents","rules:trigonometry","setup:simplify","reduce:taylor","reduce:simplify","reduce:avg-error","generate:rr","generate:taylor","generate:simplify"],"seed":"#(1065512462 304955665 3453608529 2798121886 4060785358 1530871378)","points":256,"tests":[{"samplers":["default","default","default","default"],"bits":128,"start":15.62227929342439,"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":11926.802001953125,"target":false,"output":"(* (exp (- (* (log (hypot x.im x.re)) y.re) (* y.im (atan2 x.im x.re)))) (log1p (expm1 (cube (cbrt (cos (fma y.im (log (hypot x.im x.re)) (* y.re (atan2 x.im x.re)))))))))","end":2.1092277422121817,"name":"powComplex, real part","status":"imp-start","end-est":2.451267173704714},{"samplers":["default","default","default","default"],"bits":128,"start":15.829248947319227,"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":10840.81201171875,"target":false,"output":"(* (exp (- (* (log (hypot x.im x.re)) y.re) (* y.im (atan2 x.im x.re)))) (log1p (expm1 (sin (fma y.im (log (hypot x.im x.re)) (* y.re (atan2 x.im x.re)))))))","end":2.1785620539667505,"name":"powComplex, imaginary part","status":"imp-start","end-est":2.5753795861488613},{"samplers":["(uniform 0 1)","(uniform 0 1)"],"bits":128,"start":0.47411414523686213,"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":5669.7001953125,"target":false,"output":"(fma (expm1 (log1p (/ (pow (* -2 (log u1)) 0.5) 6))) (cos (* PI (* u2 2))) 0.5)","end":0.471360376012106,"name":"normal distribution","status":"ex-start","end-est":0.4676085949913558},{"samplers":["default","default"],"bits":128,"start":0.03190902719102208,"link":"3-mathsquareoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(- (* re re) (* im im))","time":2850.339111328125,"target":false,"output":"(* (+ re im) (- re im))","end":0.0085,"name":"math.square on complex, real part","status":"ex-start","end-est":0.00390625},{"samplers":["default","default"],"bits":128,"start":0.028875,"link":"4-mathsquareoncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(+ (* re im) (* im re))","time":978.120849609375,"target":false,"output":"(* im (+ re re))","end":0.05075079540920492,"name":"math.square on complex, imaginary part","status":"ex-start","end-est":0},{"samplers":["default","default"],"bits":128,"start":13.887994617905777,"link":"5-mathsqrtoncompleximaginarypartimgreaterthan0branch","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* 0.5 (sqrt (* 2.0 (+ (sqrt (- (* re re) (* im im))) re))))","time":10827.106201171875,"target":false,"output":"(* 0.5 (sqrt (* 2.0 (fma (sqrt (+ re im)) (sqrt (- re im)) re))))","end":0.49545075067031463,"name":"math.sqrt on complex, imaginary part, im greater than 0 branch","status":"imp-start","end-est":0.4728298979485411},{"samplers":["default","default"],"bits":128,"start":0.10754257182127398,"link":"6-mathsinoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))","time":8506.737060546875,"target":false,"output":"(+ (* (/ 0.5 (exp im)) (sin re)) (* (* 0.5 (sin re)) (exp im)))","end":0.08501299500662945,"name":"math.sin on complex, real part","status":"ex-start","end-est":0.0234375},{"samplers":["default","default"],"bits":128,"start":14.703627373562695,"link":"7-mathlog10oncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))","time":3654.35791015625,"target":false,"output":"(cbrt (cube (/ (log (hypot im re)) (log 10))))","end":0.3249648225146017,"name":"math.log10 on complex, real part","status":"imp-start","end-est":0.328125},{"samplers":["default","default"],"bits":128,"start":0.4966462406251803,"link":"8-mathlog10oncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(/ (atan2 im re) (log 10))","time":2451.177978515625,"target":false,"output":"(/ (atan2 im re) (log 10))","end":0.4966462406251803,"name":"math.log10 on complex, imaginary part","status":"ex-start","end-est":0.51171875},{"samplers":["default","default","default"],"bits":128,"start":14.682577634123543,"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":6628.72412109375,"target":false,"output":"(cbrt (cube (/ (log (hypot im re)) (log base))))","end":0.3874919222470553,"name":"math.log/2 on complex, real part","status":"imp-start","end-est":0.39453125},{"samplers":["default","default","default"],"bits":128,"start":15.001853385938814,"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":5363.262939453125,"target":false,"output":"(/ (- (atan2 im re) 0) (log base))","end":0.38297669219101566,"name":"math.log/2 on complex, imaginary part","status":"imp-start","end-est":0.3951950195368841},{"samplers":["default","default"],"bits":128,"start":14.557943285454584,"link":"11-mathlog1oncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(log (sqrt (+ (* re re) (* im im))))","time":1485.083984375,"target":false,"output":"(log (hypot im re))","end":0.009106235762796363,"name":"math.log/1 on complex, real part","status":"imp-start","end-est":0.00390625},{"samplers":["default","default"],"bits":128,"start":0.22175,"link":"12-mathlog1oncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(atan2 im re)","time":1452.162841796875,"target":false,"output":"(atan2 im re)","end":0.22175,"name":"math.log/1 on complex, imaginary part","status":"ex-start","end-est":0.19921875},{"samplers":["default","default"],"bits":128,"start":0.03552124062518029,"link":"13-mathexponcomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (exp re) (cos im))","time":3288.31103515625,"target":false,"output":"(* (exp re) (cos im))","end":0.03552124062518029,"name":"math.exp on complex, real part","status":"ex-start","end-est":0.0390625},{"samplers":["default","default"],"bits":128,"start":0.07894100045543676,"link":"14-mathexponcompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (exp re) (sin im))","time":2597.498046875,"target":false,"output":"(* (exp re) (sin im))","end":0.07894100045543676,"name":"math.exp on complex, imaginary part","status":"ex-start","end-est":0.046875},{"samplers":["default","default"],"bits":128,"start":3.2748888730589027,"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":25056.9140625,"target":false,"output":"(fma x.im (* (- x.re) (fma 3 x.im x.re)) (* (+ x.re x.im) (sqr x.re)))","end":0.26422161194295335,"name":"math.cube on complex, real part","status":"imp-start","end-est":0.23960878907376804},{"samplers":["default","default"],"bits":128,"start":3.211517012889241,"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":6116.886962890625,"target":false,"output":"(fma (* (- x.re x.im) (+ x.re x.im)) x.im (* (* (+ x.im x.im) x.re) x.re))","end":3.1939647813248793,"name":"math.cube on complex, imaginary part","status":"apx-start","end-est":2.9163374942703384},{"samplers":["default","default"],"bits":128,"start":0.03910803635305098,"link":"17-mathcosoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))","time":9378.656982421875,"target":false,"output":"(+ (/ 0.5 (/ (exp im) (cos re))) (* (* 0.5 (cos re)) (exp im)))","end":0.025448120312590146,"name":"math.cos on complex, real part","status":"ex-start","end-est":0.015625},{"samplers":["default","default"],"bits":128,"start":0.22175,"link":"18-mathargoncomplex","pinf":0,"ninf":0,"vars":["re","im"],"input":"(atan2 im re)","time":1315.14697265625,"target":false,"output":"(atan2 im re)","end":0.22175,"name":"math.arg on complex","status":"ex-start","end-est":0.19921875},{"samplers":["default","default"],"bits":128,"start":13.49605937203575,"link":"19-mathabsoncomplex","pinf":0,"ninf":0,"vars":["re","im"],"input":"(sqrt (+ (* re re) (* im im)))","time":750.02099609375,"target":false,"output":"(hypot im re)","end":0,"name":"math.abs on complex","status":"imp-start","end-est":0},{"samplers":["default","default","default","default"],"bits":128,"start":0.049855275208516604,"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":7621.194091796875,"target":false,"output":"(- (* x.re y.re) (* x.im y.im))","end":0.049855275208516604,"name":"_multiplyComplex, real part","status":"ex-start","end-est":0.07065415172363414},{"samplers":["default","default","default","default"],"bits":128,"start":0.050098207290728614,"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":4455.04296875,"target":false,"output":"(fma y.im x.re (* y.re x.im))","end":0.027633749743334813,"name":"_multiplyComplex, imaginary part","status":"ex-start","end-est":0.0078125},{"samplers":["default","default","default","default"],"bits":128,"start":12.37788445561113,"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":3727.106201171875,"target":false,"output":"(/ (fma y.re x.re (* y.im x.im)) (fma y.im y.im (* y.re y.re)))","end":12.373182935495915,"name":"_divideComplex, real part","status":"apx-start","end-est":11.025488403384314},{"samplers":["default","default","default","default"],"bits":128,"start":12.427264819761188,"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":5433.572021484375,"target":false,"output":"(/ (- (* y.re x.im) (* y.im x.re)) (fma y.im y.im (* y.re y.re)))","end":12.42692045963923,"name":"_divideComplex, imaginary part","status":"apx-start","end-est":13.010679826422908},{"samplers":["default","default"],"bits":128,"start":0.14929553508607393,"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":18303.85791015625,"target":false,"output":"(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (* (sqrt 9) (sqrt (- a (/ 1.0 3.0))))) rand)))","end":0.09828328632589337,"name":"Octave 3.8, oct_fill_randg","status":"ex-start","end-est":0.10384750976844202},{"samplers":["default"],"bits":128,"start":21.219493766734693,"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":9879.931884765625,"target":false,"output":"(/ (sqr (/ i 2)) (- (* (* i 2) (* i 2)) 1.0))","end":7.7036251031790135,"name":"Octave 3.8, jcobi/4, as called","status":"imp-start","end-est":7.40986636956693},{"samplers":["default","default","default"],"bits":128,"start":25.52939071105521,"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":60483.927001953125,"target":false,"output":"(/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))","end":17.56337845377492,"name":"Octave 3.8, jcobi/4","status":"imp-start","end-est":17.587208341747985},{"samplers":["default","default"],"bits":128,"start":1.9012121786215157,"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":44864.678955078125,"target":false,"output":"(/ (/ (/ (+ (+ alpha 1.0) (fma beta alpha beta)) (+ alpha (+ 2 beta))) (+ (+ alpha 1.0) (+ 2 beta))) (+ alpha (+ 2 beta)))","end":1.8315607043847792,"name":"Octave 3.8, jcobi/3","status":"apx-start","end-est":2.436466276197659},{"samplers":["default","default","default"],"bits":128,"start":11.050479155597648,"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":25176.076904296875,"target":false,"output":"(/ (+ (* (- (/ beta (+ (fma i 2 beta) (+ 2.0 alpha))) (/ alpha (+ (fma i 2 beta) (+ 2.0 alpha)))) (/ (+ alpha beta) (fma 2 i (+ alpha beta)))) 1.0) 2.0)","end":4.2576013568524855,"name":"Octave 3.8, jcobi/2","status":"imp-start","end-est":3.8928236846888633},{"samplers":["default","default"],"bits":128,"start":6.66714505183206,"link":"29-Octave38jcobi1","pinf":0,"ninf":0,"vars":["alpha","beta"],"input":"(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0) 2.0)","time":12152.743896484375,"target":false,"output":"(/ (- (cube (cbrt (/ beta (+ (+ alpha beta) 2.0)))) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)","end":6.416289913374114,"name":"Octave 3.8, jcobi/1","status":"apx-start","end-est":6.413231551753845},{"samplers":["default"],"bits":128,"start":0.294625,"link":"30-JmatReallambertwestimator","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log x) (log (log x)))","time":5808.4951171875,"target":false,"output":"(log (/ x (log x)))","end":0.026,"name":"Jmat.Real.lambertw, estimator","status":"ex-start","end-est":0.02734375},{"samplers":["default"],"bits":128,"start":1.9714189571308587,"link":"31-JmatRealgammabranchzlessthan05","pinf":0,"ninf":0,"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":519446.7248535156,"target":false,"output":"(* (* (cube (/ (cbrt (pow (+ 7 (- 0.5 z)) (- 0.5 z))) (cbrt (exp (+ 7 (- 0.5 z)))))) (/ (* PI (sqrt (* PI 2))) (sin (* z PI)))) (+ (+ (/ 1.5056327351493116e-07 (fma z -1 8)) (+ (/ 9.984369578019572e-06 (- (- 1 z) (- 1 7))) (/ -0.13857109526572012 (- (- 1 z) (- 1 6))))) (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 (+ z 0)))) (+ (/ 771.3234287776531 (- (- 1 z) (- 1 3))) (/ -1259.1392167224028 (- (- 1 z) (- 1 2))))) (+ (/ -176.6150291621406 (- (+ 4 1) (+ 1 z))) (/ 12.507343278686905 (- (- 1 z) (- 1 5)))))))","end":0.8899932268421336,"name":"Jmat.Real.gamma, branch z less than 0.5","status":"imp-start","end-est":1.0384714923497718},{"samplers":["default"],"bits":128,"start":28.381206782732008,"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":181216.80004882812,"target":false,"output":"(- (fma (* (/ (sqrt 2) (* (exp (+ -1 7.5)) z)) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (* (sqrt PI) 676.5203681218851) (fma (* 338.26018406094255 (sqrt PI)) (/ (* (* (* (sqrt 2) z) (sqr (log 6.5))) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (exp (+ -1 7.5))) (/ (* (* (* (sqrt PI) 2585.1948787825354) (* (sqrt 2) z)) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (exp (+ -1 7.5))))) (- (* (* (sqrt PI) 1656.8104518737205) (fma (pow (/ 1 (pow 6.5 1.0)) 0.5) (/ (* (sqrt 2) (* z (log 6.5))) (exp (+ -1 7.5))) (* (/ (sqrt 2) (exp (+ -1 7.5))) (pow (/ 1 (pow 6.5 1.0)) 0.5)))) (* (* (/ (* (sqrt 2) (log 6.5)) (exp (+ -1 7.5))) (pow (/ 1 (pow 6.5 1.0)) 0.5)) (* (sqrt PI) 676.5203681218851))))","end":1.1725993392931295,"name":"Jmat.Real.gamma, branch z greater than 0.5","status":"imp-start","end-est":1.7289639075454382},{"samplers":["default"],"bits":128,"start":0.334125,"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":15334.99609375,"target":false,"output":"(fabs (/ (+ (fma (* (/ (fabs x) 5) (cube (fabs x))) (fabs x) (fma (/ 2 3) (cube (fabs x)) (* 2 (fabs x)))) (/ (cube (sqr (fabs x))) (/ 21 (fabs x)))) (sqrt PI)))","end":0.36704248125036054,"name":"Jmat.Real.erfi, branch x less than or equal to 0.5","status":"ex-start","end-est":0.3984375},{"samplers":["default"],"bits":128,"start":0.6643750583683938,"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":71696.95581054688,"target":false,"output":"(fma (/ (exp (* (fabs x) (fabs x))) (sqrt PI)) (+ (/ 1 (fabs x)) (fma (* (cube (/ 1 (fabs x))) (* (/ 1 (fabs x)) (/ 3 4))) (/ 1 (fabs x)) (/ (pow (/ 1 (fabs x)) 3) 2))) (* (/ (* (/ 15 8) (exp (* (fabs x) (fabs x)))) (sqrt PI)) (/ (* (cube (/ 1 (fabs x))) (cube (/ 1 (fabs x)))) (fabs x))))","end":0.7041901619114497,"name":"Jmat.Real.erfi, branch x greater than or equal to 5","status":"ex-start","end-est":0.6715033351257027},{"samplers":["default"],"bits":128,"start":11.932806093577696,"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":8113.16796875,"target":false,"output":"(log (exp (- 1 (/ (fma (fma (cube (cbrt (fma 1 (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027))) (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (fma 0.3275911 (fabs x) 1)) (+ (/ 1.421413741 (fma 0.3275911 (fabs x) 1)) -0.284496736)) (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (fma 0.3275911 (fabs x) 1)) (/ 0.254829592 (fma 0.3275911 (fabs x) 1))) (exp (* (fabs x) (fabs x)))))))","end":12.854327083680396,"name":"Jmat.Real.erf","status":"apx-start","end-est":14.367305380071802},{"samplers":["default"],"bits":128,"start":14.433520260793921,"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":18454.85400390625,"target":false,"output":"(/ (* x (+ (fma 0.0005064034 (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (cube (* x x)) 0.0072644182)) (fma 0.0001789971 (* (cube (* x x)) (* (* x x) (* x x))) (fma 0.0424060604 (* (* x x) (* x x)) (fma (* 0.1049934947 x) x 1))))) (fma (* 2 0.0001789971) (* (* (cube (* x x)) (* (* x x) (* x x))) (* x x)) (+ (fma (* (* (* x x) (* x x)) (* (* x x) (* x x))) 0.0140005442 (* 0.0694555761 (cube (* x x)))) (sqr (sqrt (fma 0.0008327945 (* (* (* x x) (* x x)) (sqr (cube x))) (fma 0.2909738639 (* (* x x) (* x x)) (fma (* x 0.7715471019) x 1))))))))","end":14.44342159243385,"name":"Jmat.Real.dawson","status":"apx-start","end-est":12.976790977426997},{"samplers":["default","default"],"bits":128,"start":17.593465525804348,"link":"37-mathsqrtoncomplexrealpart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))","time":2725.5048828125,"target":15.328013157041749,"output":"(* 0.5 (sqrt (fma (hypot re im) 2.0 (* 2.0 re))))","end":6.204757650460707,"name":"math.sqrt on complex, real part","status":"gt-target","end-est":7.1985088704469815},{"samplers":["default","default"],"bits":128,"start":25.104806017325867,"link":"38-mathsinoncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))","time":11296.2099609375,"target":4.940026133335496,"output":"(* (- (+ (* 1/60 (pow im 5)) (+ (* 2 im) (* 1/3 (pow im 3))))) (* (cos re) 0.5))","end":0.45427424559913593,"name":"math.sin on complex, imaginary part","status":"gt-target","end-est":1.078304455144373},{"samplers":["default"],"bits":128,"start":0.124125,"link":"39-mathcubeonreal","pinf":0,"ninf":0,"vars":["x"],"input":"(* (* x x) x)","time":1131.60302734375,"target":0.0705,"output":"(pow x 3)","end":0.0705,"name":"math.cube on real","status":"eq-target","end-est":0.0546875},{"samplers":["default","default"],"bits":128,"start":20.35015098864842,"link":"40-mathcosoncompleximaginarypart","pinf":0,"ninf":0,"vars":["re","im"],"input":"(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))","time":10351.468994140625,"target":5.954056171228853,"output":"(* (fma (cube im) 1/3 (fma (pow im 5) 1/60 (* im 2))) (* (sin re) (- 0.5)))","end":1.6081782448091244,"name":"math.cos on complex, imaginary part","status":"gt-target","end-est":1.110701117701175},{"samplers":["default","default"],"bits":128,"start":9.430612612366044,"link":"41-JmatReallambertwnewtonloopstep","pinf":0,"ninf":0,"vars":["wj","x"],"input":"(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))","time":7682.2919921875,"target":1.8527484685903781,"output":"(+ (- wj (/ wj (+ 1 wj))) (/ x (+ (exp wj) (* wj (exp wj)))))","end":1.7557310976618052,"name":"Jmat.Real.lambertw, newton loop step","status":"eq-target","end-est":2.0032912125904847},{"samplers":["default"],"bits":128,"start":0.12480117617590752,"link":"42-FastMathtest5","pinf":0,"ninf":0,"vars":["d1"],"input":"(* (* d1 (* (* (* (* (* d1 (* d1 d1)) d1) d1) (* d1 d1)) d1)) d1)","time":5158.29296875,"target":0.060191165626622585,"output":"(pow d1 (+ (+ 2 3) (+ 2 3)))","end":0.060191165626622585,"name":"FastMath test5","status":"eq-target","end-est":0.045253759768442016},{"samplers":["default","default","default"],"bits":128,"start":0.11822548067790985,"link":"43-FastMathtest3","pinf":0,"ninf":0,"vars":["d1","d2","d3"],"input":"(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))","time":2891.301025390625,"target":0.076,"output":"(fma (+ d2 d3) d1 (* d1 3))","end":0.07865553449048986,"name":"FastMath test3","status":"eq-target","end-est":0.08984375},{"samplers":["default","default"],"bits":128,"start":0.20372287347677268,"link":"44-FastMathtest2","pinf":0,"ninf":0,"vars":["d1","d2"],"input":"(+ (+ (* d1 10) (* d1 d2)) (* d1 20))","time":1975.072998046875,"target":0.0355,"output":"(* d1 (+ d2 30))","end":0.0355,"name":"FastMath test2","status":"eq-target","end-est":0.02734375},{"samplers":["default"],"bits":128,"start":0.2745,"link":"45-FastMathtest1","pinf":0,"ninf":0,"vars":["d"],"input":"(+ (* d 10) (* d 20))","time":681.9599609375,"target":0,"output":"(* (+ 10 20) d)","end":0,"name":"FastMath test1","status":"eq-target","end-est":0},{"samplers":["default"],"bits":128,"start":0.13901184218813104,"link":"46-FastMathrepmul","pinf":0,"ninf":0,"vars":["d1"],"input":"(* (* (* d1 d1) d1) d1)","time":1215.097900390625,"target":0.067375,"output":"(pow d1 4)","end":0.067375,"name":"FastMath repmul","status":"eq-target","end-est":0.03125},{"samplers":["default","default","default","default"],"bits":128,"start":0.10245360292673317,"link":"47-FastMathdist4","pinf":0,"ninf":0,"vars":["d1","d2","d3","d4"],"input":"(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))","time":7159.673095703125,"target":0.083875,"output":"(* d1 (+ (fma 1 (- d2 d3) d4) (- d1)))","end":0.0555,"name":"FastMath dist4","status":"eq-target","end-est":0.078125},{"samplers":["default","default","default"],"bits":128,"start":0.09749759278076087,"link":"48-FastMathdist3","pinf":0,"ninf":0,"vars":["d1","d2","d3"],"input":"(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))","time":9727.242919921875,"target":0.08059436093777043,"output":"(fma (+ d3 37) d1 (* d1 d2))","end":0.06628460172290755,"name":"FastMath dist3","status":"eq-target","end-est":0.07737248016428752},{"samplers":["default","default","default"],"bits":128,"start":0.05939078988379657,"link":"49-FastMathdist","pinf":0,"ninf":0,"vars":["d1","d2","d3"],"input":"(+ (* d1 d2) (* d1 d3))","time":3219.620849609375,"target":0.047875,"output":"(* (+ d2 d3) d1)","end":0.047875,"name":"FastMath dist","status":"eq-target","end-est":0.06640625}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}