{"bit_width":64,"date":1469971607,"note":"regression","iterations":2,"flags":["rules:numerics","rules:arithmetic","rules:polynomials","rules:fractions","rules:exponents","rules:trigonometry","setup:simplify","reduce:post-process","reduce:taylor","reduce:simplify","reduce:avg-error","generate:rr","generate:taylor","generate:simplify","precision:double"],"seed":"#(1065990927 2514927446 2806713580 2976231080 3799737104 4212629478)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":0.02675244375108174,"link":"0-subtractionfraction","pinf":0,"ninf":0,"vars":["f","n"],"input":"(/ (- (+ f n)) (- f n))","time":2471.108154296875,"target":false,"output":"(/ (- (+ f n)) (- f n))","end":0.02675244375108174,"name":"subtraction fraction","status":"ex-start","end-est":0.021816259768442016},{"samplers":["default"],"bits":128,"start":0.483875,"link":"1-sqrttimes","pinf":0,"ninf":0,"vars":["x"],"input":"(* (sqrt (- x 1)) (sqrt x))","time":5412.322021484375,"target":false,"output":"(* (sqrt (- x 1)) (sqrt x))","end":0.483875,"name":"sqrt times","status":"ex-start","end-est":0.49609375},{"samplers":["default","default","default"],"bits":128,"start":14.808860896036842,"link":"2-rsinbcosabB","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(* r (/ (sin b) (cos (+ a b))))","time":13654.010986328125,"target":false,"output":"(* r (/ (sin b) (- (log1p (expm1 (* (cos a) (cos b)))) (* (sin a) (sin b)))))","end":0.38301751298880965,"name":"r*sin(b)/cos(a+b), B","status":"imp-start","end-est":0.3013562692380556},{"samplers":["default","default","default"],"bits":128,"start":14.810571098195025,"link":"3-rsinbcosabA","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(/ (* r (sin b)) (cos (+ a b)))","time":13086.462890625,"target":false,"output":"(* (/ r 1) (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))","end":0.3258673845622635,"name":"r*sin(b)/cos(a+b), A","status":"imp-start","end-est":0.26715748993272953},{"samplers":["default"],"bits":128,"start":0.03711063859614998,"link":"4-neglog","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log (- (/ 1 x) 1)))","time":4571.572021484375,"target":false,"output":"(- (log (- (/ 1 x) 1)))","end":0.03711063859614998,"name":"neg log","status":"ex-start","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":30.488493083234875,"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":17325.988037109375,"target":false,"output":"(if (>= b 0) (/ (* c 2) (- (- b) (sqrt (- (sqr b) (* a (* 4 c)))))) (/ (- (/ (* c 2) (/ b a)) (- b (- b))) (* a 2)))","end":13.533029809975591,"name":"jeff quadratic root 2","status":"imp-start","end-est":18.198147849351763},{"samplers":["default","default","default"],"bits":128,"start":31.91946521353601,"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":16256.47705078125,"target":false,"output":"(if (>= b 0) (/ (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (- b) (- (* 2 (/ (* c a) b)) b))))","end":13.257095724667579,"name":"jeff quadratic root 1","status":"imp-start","end-est":18.442729404802},{"samplers":["default","default"],"bits":128,"start":0,"link":"7-fabsfraction2","pinf":0,"ninf":0,"vars":["a","b"],"input":"(/ (fabs (- a b)) 2)","time":1722.885009765625,"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":1.676331021352563,"link":"8-fabsfraction1","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","time":4914.760009765625,"target":false,"output":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","end":1.676331021352563,"name":"fabs fraction 1","status":"apx-start","end-est":1.2527285404516917},{"samplers":["default"],"bits":128,"start":0.01492493016715803,"link":"9-expnegsub","pinf":0,"ninf":0,"vars":["x"],"input":"(exp (- (- 1 (* x x))))","time":1751.302001953125,"target":false,"output":"(/ (exp (sqr x)) E)","end":0.02044883625854898,"name":"exp neg sub","status":"ex-start","end-est":0.0078125},{"samplers":["default","default"],"bits":128,"start":0.20992708319999193,"link":"10-VandenBroeckandKellerEquation24","pinf":0,"ninf":0,"vars":["B","x"],"input":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","time":3648.89306640625,"target":false,"output":"(fma x (- (* (cos B) (/ 1 (sin B)))) (/ 1 (sin B)))","end":0.24480470000576893,"name":"VandenBroeck and Keller, Equation (24)","status":"ex-start","end-est":0.248378759768442},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":false,"link":"11-TonioloandLinderEquation13","pinf":false,"ninf":false,"vars":["n","U","t","l","Om","U*"],"input":"(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (sqr l) Om))) (* (* n (sqr (/ l Om))) (- U U*)))))","time":600000,"target":false,"output":"#f","end":false,"name":"Toniolo and Linder, Equation (13)","status":"timeout","end-est":false},{"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":31.542157881134564,"link":"15-RandomJasonTimeoutTest011","pinf":0,"ninf":0,"vars":["a"],"input":"(pow (atan (fmod a (asin a))) (* a a))","time":18591.666015625,"target":false,"output":"(pow (atan (fmod a (asin a))) (sqr a))","end":31.542157881134564,"name":"Random Jason Timeout Test 011","status":"apx-start","end-est":30.514931227140334},{"samplers":["default"],"bits":128,"start":0.243125,"link":"16-RandomJasonTimeoutTest010","pinf":0,"ninf":0,"vars":["a"],"input":"(/ a (- (acos a)))","time":2529.19384765625,"target":false,"output":"(/ a (- (acos a)))","end":0.243125,"name":"Random Jason Timeout Test 010","status":"ex-start","end-est":0.24609375},{"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":11184.653076171875,"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":2432,"start":false,"link":"22-RandomJasonTimeoutTest001","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(+ c (asin (cosh c)))","time":19624.326171875,"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":0.2564838874957238,"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":32277.303955078125,"target":false,"output":"(+ (* (- a 0.5) (log t)) (+ (log (+ x y)) (- (log z) t)))","end":0.2554923798493059,"name":"Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2","status":"ex-start","end-est":0.2312773996881935},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":27.878605970712766,"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":10963.984130859375,"target":false,"output":"(/ (fma (fma (fma y x z) (sqr y) (fma y 27464.7644705 230661.510616)) y t) (fma (sqr y) (fma (+ y a) y b) (fma y c i)))","end":28.23538582671566,"name":"Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2","status":"apx-start","end-est":28.100639763949314},{"samplers":["default","default","default","default","default","default","default"],"bits":128,"start":3.843337941216693,"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":33125.172119140625,"target":false,"output":"(/ x (fma (pow (exp 2.0) (- (* (/ (sqrt 1) t) (/ (sqrt (+ a t)) (/ 1 z))) (* (- (+ (/ 5.0 6.0) a) (/ 2.0 (* 3.0 t))) (- b c)))) y x))","end":3.8443612750130005,"name":"Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2","status":"apx-start","end-est":4.414050106665466},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":false,"link":"26-NumericSpecFunctionsincompleteBetaWorkerfrommathfu","pinf":false,"ninf":false,"vars":["x","y","z","t","a","b"],"input":"(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)","time":600000,"target":false,"output":"#f","end":false,"name":"Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":32.75292872724182,"link":"27-NMSEproblem321","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":10794.571044921875,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":32.043600710320355,"name":"NMSE problem 3.2.1","status":"apx-start","end-est":32.269354124274},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":0.023448120312590144,"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":6951.217041015625,"target":false,"output":"(+ (fma i c (* a b)) (fma y x (* t z)))","end":0.019948120312590144,"name":"Linear.V4:$cdot from linear-1.19.1.3","status":"ex-start","end-est":0.01171875},{"samplers":["default","default","default","default","default","default","default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":false,"link":"29-LinearMatrixdet44fromlinear11913","pinf":false,"ninf":false,"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":600000,"target":false,"output":"#f","end":false,"name":"Linear.Matrix:det44 from linear-1.19.1.3","status":"timeout","end-est":false},{"samplers":["default","default","default","default","default","default","default","default","default"],"bits":128,"start":11.019923817416881,"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":20924.161865234375,"target":false,"output":"(- (fma (- (* c t) (* i y)) j (* x (- (* y z) (* t a)))) (* (/ b 1) (- (* z c) (* a i))))","end":11.01892381741688,"name":"Linear.Matrix:det33 from linear-1.19.1.3","status":"apx-start","end-est":12.012744805447749},{"samplers":["default","default","default","default","default"],"bits":128,"start":9.630893898075605,"link":"31-HakyllWebTagsrenderTagCloudfromhakyll4723","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","time":8970.4921875,"target":false,"output":"(fma (- a x) (/ 1 (/ (- (+ 1.0 t) z) (- y z))) x)","end":9.693119018233405,"name":"Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3","status":"apx-start","end-est":9.900507123355238},{"samplers":["default","default","default","default"],"bits":128,"start":14.255411484115013,"link":"32-GraphicsRenderingChartBackendDiagramscalcFontMetri","pinf":0,"ninf":0,"vars":["x","y","z","t"],"input":"(* x (/ (* (/ y z) t) t))","time":2173.93603515625,"target":false,"output":"(/ (* y x) z)","end":6.007532115120342,"name":"Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1","status":"imp-start","end-est":5.121283734479607},{"samplers":["default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":5.48704434550842,"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":14952.340087890625,"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":5.907344915654915,"name":"Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1","status":"apx-start","end-est":5.1195293175531225},{"samplers":["default","default"],"bits":128,"start":0.1887990447993084,"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":23152.73681640625,"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":0.021545190505717876,"name":"Bouland and Aaronson, Equation (25)","status":"ex-start","end-est":0.0078125},{"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":19641.708984375,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":32.397898265296746,"link":"36-sqrtsqr","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ x x) (* (/ 1 x) (sqrt (* x x))))","time":793.15478515625,"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":33.31013637340947,"link":"37-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":18601.3701171875,"target":20.26599557029025,"output":"(* (/ 1 2) (/ (* 4 c) (- (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":29.011999815455862,"name":"The quadratic formula (r1)","status":"lt-target","end-est":28.134258995885602}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}