{"bit_width":32,"date":1468768429,"note":"regression","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":"#(1065670707 1252142602 108487242 4101615998 1494603059 839552182)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":0.10574087218248844,"link":"0-subtractionfraction","pinf":0,"ninf":0,"vars":["f","n"],"input":"(/ (- (+ f n)) (- f n))","time":4800.449951171875,"target":false,"output":"(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))","end":0.10654930882713164,"name":"subtraction fraction","status":"ex-start","end-est":0.09117128907376808},{"samplers":["default"],"bits":128,"start":0.47044812031259015,"link":"1-sqrttimes","pinf":0,"ninf":0,"vars":["x"],"input":"(* (sqrt (- x 1)) (sqrt x))","time":5814.283935546875,"target":false,"output":"(* (sqrt (- x 1)) (sqrt x))","end":0.47044812031259015,"name":"sqrt times","status":"ex-start","end-est":0.47103500976844204},{"samplers":["default","default","default"],"bits":128,"start":7.658970960920276,"link":"2-rsinbcosabB","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(* r (/ (sin b) (cos (+ a b))))","time":10021.666015625,"target":false,"output":"(* r (/ (sin b) (/ (- (sqr (* (cos a) (cos b))) (sqr (* (sin a) (sin b)))) (fma (sin a) (sin b) (* (cos b) (cos a))))))","end":0.3030722331361199,"name":"r*sin(b)/cos(a+b), B","status":"imp-start","end-est":0.3144213011575378},{"samplers":["default","default","default"],"bits":128,"start":7.658970960920276,"link":"3-rsinbcosabA","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(/ (* r (sin b)) (cos (+ a b)))","time":9774.75390625,"target":false,"output":"(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))","end":0.2474000578546162,"name":"r*sin(b)/cos(a+b), A","status":"imp-start","end-est":0.274101269536884},{"samplers":["default"],"bits":128,"start":0.09159719008992614,"link":"4-neglog","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log (- (/ 1 x) 1)))","time":8429.093017578125,"target":false,"output":"(- (log (cube (cbrt (- (/ 1 x) 1)))))","end":0.12366022868104591,"name":"neg log","status":"ex-start","end-est":0.21335781056343897},{"samplers":["default","default","default"],"bits":128,"start":15.898628781875399,"link":"5-jeffquadraticroot2","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(if (>= b 0) (/ (* 2 c) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)))","time":11639.953857421875,"target":false,"output":"(if (>= b 0) (/ (* c 2) (fma (cube (cube (cbrt (cbrt (/ c (/ b a)))))) 2 (- (- b) b))) (/ (+ (sqrt (- (sqr b) (* (* a c) 4))) (- b)) (* 2 a)))","end":5.932455269273622,"name":"jeff quadratic root 2","status":"imp-start","end-est":10.210847207458569},{"samplers":["default","default","default"],"bits":128,"start":9.503976901469205,"link":"6-jeffquadraticroot1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(if (>= b 0) (/ (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))))","time":11365.052001953125,"target":false,"output":"(if (>= b 0) (/ (pow (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 1) (* 2 a)) (/ (* 2 c) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))))","end":9.51295048555843,"name":"jeff quadratic root 1","status":"apx-start","end-est":9.814534806209986},{"samplers":["default","default"],"bits":128,"start":0,"link":"7-fabsfraction2","pinf":0,"ninf":0,"vars":["a","b"],"input":"(/ (fabs (- a b)) 2)","time":1538.653076171875,"target":false,"output":"(/ (fabs (- a b)) 2)","end":0,"name":"fabs fraction 2","status":"ex-start","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":0.7951235242046951,"link":"8-fabsfraction1","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","time":6645.1279296875,"target":false,"output":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","end":0.7951235242046951,"name":"fabs fraction 1","status":"ex-start","end-est":0.875542650498714},{"samplers":["default"],"bits":128,"start":0.06079969544729413,"link":"9-expnegsub","pinf":0,"ninf":0,"vars":["x"],"input":"(exp (- (- 1 (* x x))))","time":3667.09521484375,"target":false,"output":"(exp (- (sqr x) (log E)))","end":0.06079969544729413,"name":"exp neg sub","status":"ex-start","end-est":0.08299508046286383},{"samplers":["default","default"],"bits":128,"start":0.07403084257481163,"link":"10-VandenBroeckandKellerEquation24","pinf":0,"ninf":0,"vars":["B","x"],"input":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","time":3636.677001953125,"target":false,"output":"(+ (* x (- (cotan B))) (/ 1 (sin B)))","end":0.07403084257481163,"name":"VandenBroeck and Keller, Equation (24)","status":"ex-start","end-est":0.09603500976844202},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":15.236104375358426,"link":"11-TonioloandLinderEquation13","pinf":0,"ninf":0,"vars":["n","U","t","l","Om","U*"],"input":"(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (sqr l) Om))) (* (* n (sqr (/ l Om))) (- U U*)))))","time":42546.16796875,"target":false,"output":"(sqrt (* (* 2 n) (* (- t (fma (* (/ l Om) (- U U*)) (* n (/ l Om)) (* (/ l Om) (* 2 l)))) U)))","end":11.764957170435135,"name":"Toniolo and Linder, Equation (13)","status":"imp-start","end-est":12.571958893629517},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"12-RandomJasonTimeoutTest015","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sin (pow (sqrt (atan2 b b)) (- b a)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 015","status":"timeout","end-est":false},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"13-RandomJasonTimeoutTest014","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(fmod (sinh c) (- c (sqr -2.9807307601812193e+165)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 014","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"14-RandomJasonTimeoutTest012","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(acos (pow (fmod (cosh a) (* a a)) (log1p a)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 012","status":"timeout","end-est":false},{"samplers":["default"],"bits":128,"start":15.293980605103087,"link":"15-RandomJasonTimeoutTest011","pinf":0,"ninf":0,"vars":["a"],"input":"(pow (atan (fmod a (asin a))) (* a a))","time":12713.135986328125,"target":false,"output":"(pow (atan (expm1 (log1p (fmod a (asin a))))) (sqr a))","end":15.294730605103087,"name":"Random Jason Timeout Test 011","status":"apx-start","end-est":15.111485643435731},{"samplers":["default"],"bits":128,"start":0.3155,"link":"16-RandomJasonTimeoutTest010","pinf":0,"ninf":0,"vars":["a"],"input":"(/ a (- (acos a)))","time":2687.55908203125,"target":false,"output":"(/ a (- (acos a)))","end":0.3155,"name":"Random Jason Timeout Test 010","status":"ex-start","end-est":0.32421875},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"17-RandomJasonTimeoutTest009","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(fabs (fmod c (asin (- 2.821952756469356e+184 b))))","time":11711.734130859375,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 009","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":false,"link":"18-RandomJasonTimeoutTest006","pinf":false,"ninf":false,"vars":["a"],"input":"(fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 006","status":"timeout","end-est":false},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"19-RandomJasonTimeoutTest004","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(fmod (cosh c) (log1p a))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 004","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"20-RandomJasonTimeoutTest003","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sin (pow (sqrt (atan2 b b)) (- b a)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 003","status":"timeout","end-est":false},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"21-RandomJasonTimeoutTest002","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(fmod (sinh c) (- c (sqr -2.9807307601812193e+165)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 002","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":640,"start":false,"link":"22-RandomJasonTimeoutTest001","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(+ c (asin (cosh c)))","time":9581.25,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 001","status":"crash","end-est":false},{"samplers":["default","default","default","default","default"],"bits":128,"start":0.25017194102447665,"link":"23-NumericSpecFunctionslogGammaLfrommathfunctions0152","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))","time":39233.916015625,"target":false,"output":"(+ (log (+ x y)) (- (+ (* (- a 0.5) (log t)) (log z)) t))","end":0.25017194102447665,"name":"Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2","status":"ex-start","end-est":0.22535752125455485},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":13.92600792191457,"link":"24-NumericSpecFunctionslogGammafrommathfunctions0152","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i"],"input":"(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))","time":8653.5830078125,"target":false,"output":"(/ (fma (fma (fma y x z) (* y y) (fma y 27464.7644705 230661.510616)) y t) (+ (* (* (fma (+ y a) y b) y) y) (fma y c i)))","end":13.06810556000051,"name":"Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2","status":"apx-start","end-est":14.684895689062072},{"samplers":["default","default","default","default","default","default","default"],"bits":128,"start":0.5382004044680385,"link":"25-NumericSpecFunctionsinvIncompleteBetaWorkerfrommat","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c"],"input":"(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))","time":26183.800048828125,"target":false,"output":"(/ x (fma (pow (exp 2.0) (- (/ (sqrt (+ a t)) (/ t z)) (* (- (+ (/ 5.0 6.0) a) (pow (/ 2.0 (* 3.0 t)) 1)) (- b c)))) y x))","end":0.34999505738289194,"name":"Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2","status":"ex-start","end-est":0.4685731982519744},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":13.47962578393448,"link":"26-NumericSpecFunctionsincompleteBetaWorkerfrommathfu","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b"],"input":"(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)","time":37394.461181640625,"target":false,"output":"(/ (/ x (exp b)) (/ (/ y (pow z y)) (* (pow a t) (pow a (- 1.0)))))","end":3.2171646305375683,"name":"Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2","status":"imp-start","end-est":8.910385678111517},{"samplers":["default","default","default"],"bits":128,"start":15.805272843625461,"link":"27-NMSEproblem321","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":7369.73583984375,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.756476223527915,"name":"NMSE problem 3.2.1","status":"imp-start","end-est":14.068598461904877},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":0.0979859283400527,"link":"28-LinearV4cdotfromlinear11913","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i"],"input":"(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))","time":7458.30712890625,"target":false,"output":"(fma i c (fma b a (fma y x (* t z))))","end":0.05859953087934833,"name":"Linear.V4:$cdot from linear-1.19.1.3","status":"ex-start","end-est":0.02734375},{"samplers":["default","default","default","default","default","default","default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":12.293024723978629,"link":"29-LinearMatrixdet44fromlinear11913","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i","j","k","y0","y1","y2","y3","y4","y5"],"input":"(+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))","time":165974.29296875,"target":false,"output":"(+ (fma (- (* y4 y1) (* y0 y5)) (- (* y2 k) (* j y3)) (fma (- (* j t) (* y k)) (- (* y4 b) (* i y5)) (* (- (* x y2) (* z y3)) (- (* y0 c) (* a y1))))) (- (* (- (* a b) (* i c)) (- (* y x) (* t z))) (fma (- (* j x) (* k z)) (- (* y0 b) (* y1 i)) (cube (* (cbrt (- (* t y2) (* y y3))) (cbrt (- (* c y4) (* a y5))))))))","end":12.342727082141606,"name":"Linear.Matrix:det44 from linear-1.19.1.3","status":"apx-start","end-est":12.93062254285606},{"samplers":["default","default","default","default","default","default","default","default","default"],"bits":128,"start":5.481765801586175,"link":"30-LinearMatrixdet33fromlinear11913","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i","j"],"input":"(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))","time":17790.405029296875,"target":false,"output":"(- (fma (- (* c t) (* i y)) j (* (- (* y z) (* t a)) x)) (+ (* b (* c z)) (* b (- (* i a)))))","end":5.472968516164066,"name":"Linear.Matrix:det33 from linear-1.19.1.3","status":"apx-start","end-est":6.4554075039080665},{"samplers":["default","default","default","default","default"],"bits":128,"start":3.4246067525026045,"link":"31-HakyllWebTagsrenderTagCloudfromhakyll4723","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","time":10100.5078125,"target":false,"output":"(+ (* (- a x) (/ (- y z) (pow (- (+ 1.0 t) z) 1))) x)","end":3.2095318951315024,"name":"Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3","status":"apx-start","end-est":3.452567191395212},{"samplers":["default","default","default","default"],"bits":128,"start":6.495458037308723,"link":"32-GraphicsRenderingChartBackendDiagramscalcFontMetri","pinf":0,"ninf":0,"vars":["x","y","z","t"],"input":"(* x (/ (* (/ y z) t) t))","time":2527.966064453125,"target":false,"output":"(/ (* y x) z)","end":2.8705966624090857,"name":"Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1","status":"imp-start","end-est":2.4036151308546843},{"samplers":["default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":3.174013302177886,"link":"33-DiagramsSolvePolynomialcubFormfromdiagramssolve01","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i","j","k"],"input":"(- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))","time":17247.80712890625,"target":false,"output":"(- (fma 18.0 (* (* z x) (* y t)) (* c b)) (fma 4.0 (fma i x (* t a)) (* (* k 27.0) j)))","end":2.8032328594766405,"name":"Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1","status":"apx-start","end-est":2.600566284977509},{"samplers":["default","default"],"bits":128,"start":0.22364602740960315,"link":"34-BoulandandAaronsonEquation25","pinf":0,"ninf":0,"vars":["a","b"],"input":"(- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1)","time":25822.828125,"target":false,"output":"(- (fma (fma (- 1 (* a 3)) (sqr b) (* (fma a a a) a)) 4 (fma (* (* b 2) b) (* a a) (+ (pow a 4) (pow b 4)))) 1)","end":0.11799807332510522,"name":"Bouland and Aaronson, Equation (25)","status":"ex-start","end-est":0.15691376953688402},{"samplers":["default","default","default"],"bits":384,"start":false,"link":"35-Areaofatriangle","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sqrt (* (* (* (/ (+ (+ a b) c) 2) (- (/ (+ (+ a b) c) 2) a)) (- (/ (+ (+ a b) c) 2) b)) (- (/ (+ (+ a b) c) 2) c)))","time":18933.23583984375,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":21.32168472422221,"link":"36-sqrtsqr","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ x x) (* (/ 1 x) (sqrt (* x x))))","time":1132.618896484375,"target":0,"output":"(- 1 (/ (fabs x) x))","end":0,"name":"sqrt sqr","status":"eq-target","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":15.83247866283046,"link":"37-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":9113.333984375,"target":9.593888703585556,"output":"(* 1/2 (/ (fma 1 (- b) (sqrt (- (sqr b) (* 4 (* c a))))) a))","end":15.809997883913928,"name":"The quadratic formula (r1)","status":"eq-start","end-est":15.49916200475986}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}