{"bit_width":32,"date":1469803674,"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":"#(1065894488 2199264003 1058398788 1110142813 3223388056 148167450)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":0.0931535718784255,"link":"0-subtractionfraction","pinf":0,"ninf":0,"vars":["f","n"],"input":"(/ (- (+ f n)) (- f n))","time":5196.511962890625,"target":false,"output":"(/ 1 (log1p (expm1 (/ (- f n) (- (+ f n))))))","end":0.1323851356473578,"name":"subtraction fraction","status":"ex-start","end-est":0.11232377930532605},{"samplers":["default"],"bits":128,"start":0.46529248125036055,"link":"1-sqrttimes","pinf":0,"ninf":0,"vars":["x"],"input":"(* (sqrt (- x 1)) (sqrt x))","time":5177.406982421875,"target":false,"output":"(* (sqrt (- x 1)) (sqrt x))","end":0.46529248125036055,"name":"sqrt times","status":"ex-start","end-est":0.421875},{"samplers":["default","default","default"],"bits":128,"start":7.354026715433627,"link":"2-rsinbcosabB","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(* r (/ (sin b) (cos (+ a b))))","time":6960.26708984375,"target":false,"output":"(* r (/ (sin b) (- (* (cos a) (cos b)) (cube (cbrt (* (sin a) (sin b)))))))","end":0.32846759262652975,"name":"r*sin(b)/cos(a+b), B","status":"imp-start","end-est":0.3079124413673881},{"samplers":["default","default","default"],"bits":128,"start":7.354026715433627,"link":"3-rsinbcosabA","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(/ (* r (sin b)) (cos (+ a b)))","time":7764.470947265625,"target":false,"output":"(/ (* r (sin b)) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))))","end":0.27392287673983895,"name":"r*sin(b)/cos(a+b), A","status":"imp-start","end-est":0.26295753877493966},{"samplers":["default"],"bits":128,"start":0.0935169928503876,"link":"4-neglog","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log (- (/ 1 x) 1)))","time":9551.716064453125,"target":false,"output":"(- (log (- (/ 1 x) 1)))","end":0.0935169928503876,"name":"neg log","status":"ex-start","end-est":0.0234375},{"samplers":["default","default","default"],"bits":128,"start":9.403375004036322,"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":10962.260986328125,"target":false,"output":"(if (>= b 0) (/ (* 2 c) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (/ (+ (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c)))))) (* 2 a)))","end":9.473095489904772,"name":"jeff quadratic root 2","status":"apx-start","end-est":9.796095963197972},{"samplers":["default","default","default"],"bits":128,"start":9.325812265147857,"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":10610.55810546875,"target":false,"output":"(if (>= b 0) (/ (- (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c)))))) (* 2 a)) (/ (* 2 c) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))))","end":9.400905770729834,"name":"jeff quadratic root 1","status":"apx-start","end-est":9.963370925847647},{"samplers":["default","default"],"bits":128,"start":0,"link":"7-fabsfraction2","pinf":0,"ninf":0,"vars":["a","b"],"input":"(/ (fabs (- a b)) 2)","time":1296.427001953125,"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":0.7255283055843285,"link":"8-fabsfraction1","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","time":6198.346923828125,"target":false,"output":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","end":0.7255283055843285,"name":"fabs fraction 1","status":"ex-start","end-est":0.32950048773027746},{"samplers":["default"],"bits":128,"start":0.05299211366208285,"link":"9-expnegsub","pinf":0,"ninf":0,"vars":["x"],"input":"(exp (- (- 1 (* x x))))","time":4293.589111328125,"target":false,"output":"(/ (pow (exp x) x) E)","end":0.06192961262183279,"name":"exp neg sub","status":"ex-start","end-est":0.06935502930532605},{"samplers":["default","default"],"bits":128,"start":0.07483048202372185,"link":"10-VandenBroeckandKellerEquation24","pinf":0,"ninf":0,"vars":["B","x"],"input":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","time":3436.297119140625,"target":false,"output":"(+ (* x (- (cotan B))) (/ 1 (sin B)))","end":0.07483048202372185,"name":"VandenBroeck and Keller, Equation (24)","status":"ex-start","end-est":0.08041000976844202},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":15.250411238423968,"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":40856.467041015625,"target":false,"output":"(sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (pow (* n (sqr (/ l Om))) 1) (- U U*))))))","end":12.121396111046066,"name":"Toniolo and Linder, Equation (13)","status":"imp-start","end-est":11.895897941551835},{"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":15.242375406870599,"link":"15-RandomJasonTimeoutTest011","pinf":0,"ninf":0,"vars":["a"],"input":"(pow (atan (fmod a (asin a))) (* a a))","time":13290.99609375,"target":false,"output":"(pow (atan (log (exp (fmod a (asin a))))) (sqr a))","end":15.2432504068706,"name":"Random Jason Timeout Test 011","status":"apx-start","end-est":14.061102197495746},{"samplers":["default"],"bits":128,"start":0.299875,"link":"16-RandomJasonTimeoutTest010","pinf":0,"ninf":0,"vars":["a"],"input":"(/ a (- (acos a)))","time":2868.3779296875,"target":false,"output":"(/ a (- (sqr (sqrt (acos a)))))","end":0.11262782031835947,"name":"Random Jason Timeout Test 010","status":"ex-start","end-est":0.11003876953688405},{"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":11470.10986328125,"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":9006.713134765625,"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":0.24228002447959626,"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":38862.571044921875,"target":false,"output":"(+ (log (+ x y)) (- (+ (* (- a 0.5) (log t)) (log z)) t))","end":0.24215502447959625,"name":"Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2","status":"ex-start","end-est":0.25774885231507555},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":14.104518434537878,"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":8809.7841796875,"target":false,"output":"(/ (fma (fma (fma y x z) (* y y) (fma y 27464.7644705 230661.510616)) y t) (+ (* (fma (+ y a) y b) (sqr y)) (fma y c i)))","end":13.443280085404647,"name":"Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2","status":"apx-start","end-est":12.860765826520538},{"samplers":["default","default","default","default","default","default","default"],"bits":128,"start":6.675089650254284,"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":19911.60107421875,"target":false,"output":"(/ x (fma (pow (exp 2.0) (- (fma (/ z t) (sqrt (+ t a)) (* (/ 0.6666666666666666 t) (- b c))) (* b 0.8333333333333334))) y x))","end":1.137233091503712,"name":"Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2","status":"imp-start","end-est":4.831166957538425},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":22.457931308119804,"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":21878.532958984375,"target":false,"output":"(* (pow a t) (/ (/ x (exp b)) (* y (pow (pow a 1.0) 1.0))))","end":1.426283899492608,"name":"Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2","status":"imp-start","end-est":9.670380646622297},{"samplers":["default","default","default"],"bits":128,"start":15.771332216656836,"link":"27-NMSEproblem321","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":9712.796142578125,"target":false,"output":"(/ 1 (fma (/ 1 c) (sqrt (- (sqr b/2) (* c a))) (- (/ b/2 c))))","end":13.691203401975459,"name":"NMSE problem 3.2.1","status":"imp-start","end-est":13.323064127606713},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":0.09814347095551186,"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":7058.52001953125,"target":false,"output":"(fma z t (fma y x (fma i c (* b a))))","end":0.059826396069409774,"name":"Linear.V4:$cdot from linear-1.19.1.3","status":"ex-start","end-est":0.0625},{"samplers":["default","default","default","default","default","default","default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":12.128284496146998,"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":159057.287109375,"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))))) (cube (cbrt (- (* (- (* a b) (* i c)) (- (* y x) (* t z))) (fma (- (* j x) (* k z)) (- (* y0 b) (* y1 i)) (* (- (* t y2) (* y y3)) (- (* c y4) (* a y5))))))))","end":12.245193424502368,"name":"Linear.Matrix:det44 from linear-1.19.1.3","status":"apx-start","end-est":12.470104893238858},{"samplers":["default","default","default","default","default","default","default","default","default"],"bits":128,"start":5.643381168882439,"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":18321.699951171875,"target":false,"output":"(- (fma (- (* t c) (* i y)) j (+ (* x (* y z)) (* x (- (* a t))))) (* b (fma i (- a) (* c z))))","end":5.631601478081928,"name":"Linear.Matrix:det33 from linear-1.19.1.3","status":"apx-start","end-est":4.718744011269114},{"samplers":["default","default","default","default","default"],"bits":128,"start":3.5573274180170142,"link":"31-HakyllWebTagsrenderTagCloudfromhakyll4723","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","time":9301.830078125,"target":false,"output":"(+ (* (- a x) (/ (- y z) (pow (- (+ 1.0 t) z) 1))) x)","end":3.3415708154250674,"name":"Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3","status":"apx-start","end-est":2.68617934640857},{"samplers":["default","default","default","default"],"bits":128,"start":6.349550075105743,"link":"32-GraphicsRenderingChartBackendDiagramscalcFontMetri","pinf":0,"ninf":0,"vars":["x","y","z","t"],"input":"(* x (/ (* (/ y z) t) t))","time":2306.213134765625,"target":false,"output":"(/ y (/ z x))","end":2.817265461226761,"name":"Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1","status":"imp-start","end-est":1.6500037720598935},{"samplers":["default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":3.2439773691290505,"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":15373.719970703125,"target":false,"output":"(- (fma (* t z) (* 18.0 (* y x)) (* b c)) (fma 4.0 (fma i x (* t a)) (* 27.0 (* j k))))","end":2.911687287896454,"name":"Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1","status":"apx-start","end-est":2.9772822612088468},{"samplers":["default","default"],"bits":128,"start":0.23364696538567226,"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":37873.27392578125,"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":0.13913835503380978,"name":"Bouland and Aaronson, Equation (25)","status":"ex-start","end-est":0.1253000609259798},{"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":18289.178955078125,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":21.341662202105216,"link":"36-sqrtsqr","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ x x) (* (/ 1 x) (sqrt (* x x))))","time":761.221923828125,"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":15.634112171855685,"link":"37-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":12761.787109375,"target":9.390697314012478,"output":"(/ (/ (* (* 4 a) c) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (* 2 a))","end":14.913662809521684,"name":"The quadratic formula (r1)","status":"eq-start","end-est":15.169912634229643}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}