{"bit_width":32,"date":1468334075,"note":"regression","iterations":3,"flags":["rules:arithmetic","rules:polynomials","rules:fractions","rules:exponents","rules:trigonometry","setup:simplify","reduce:regimes","reduce:taylor","reduce:simplify","reduce:avg-error","generate:rr","generate:taylor","generate:simplify"],"seed":"#(1065639804 936413623 2655205282 2235462195 918319548 1069991914)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":0.09880687540709172,"link":"0-subtractionfraction","pinf":0,"ninf":0,"vars":["f","n"],"input":"(/ (- (+ f n)) (- f n))","time":5770.10791015625,"target":false,"output":"(* (/ 1 (- (sqr (/ f (- (+ f n)))) (sqr (/ n (- (+ f n)))))) (+ (/ f (- (+ f n))) (/ n (- (+ f n)))))","end":0.09914440699280958,"name":"subtraction fraction","status":"ex-start","end-est":0.12543921682336545},{"samplers":["default"],"bits":128,"start":0.460625,"link":"1-sqrttimes","pinf":0,"ninf":0,"vars":["x"],"input":"(* (sqrt (- x 1)) (sqrt x))","time":5875.759033203125,"target":false,"output":"(* (sqrt (- x 1)) (sqrt x))","end":0.460625,"name":"sqrt times","status":"ex-start","end-est":0.43359375},{"samplers":["default","default","default"],"bits":128,"start":7.624150014537581,"link":"2-rsinbcosabB","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(* r (/ (sin b) (cos (+ a b))))","time":6728.387939453125,"target":false,"output":"(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))","end":0.2572738463406595,"name":"r*sin(b)/cos(a+b), B","status":"imp-start","end-est":0.24609375},{"samplers":["default","default","default"],"bits":128,"start":7.624150014537581,"link":"3-rsinbcosabA","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(/ (* r (sin b)) (cos (+ a b)))","time":7331.47998046875,"target":false,"output":"(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))","end":0.2572738463406595,"name":"r*sin(b)/cos(a+b), A","status":"imp-start","end-est":0.24609375},{"samplers":["default"],"bits":128,"start":0.11174079771940955,"link":"4-neglog","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log (- (/ 1 x) 1)))","time":5196.108154296875,"target":false,"output":"(- (log (- (/ 1 x) 1)))","end":0.11174079771940955,"name":"neg log","status":"ex-start","end-est":0.06631749970117155},{"samplers":["default","default","default"],"bits":128,"start":9.830401056204485,"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":17897.106201171875,"target":false,"output":"(if (<= b -1.3462214f+10) (if (>= b 0) (/ c (- (* (/ a b) c) b)) (- (/ c b) (/ (- b (- b)) (* a 2)))) (if (<= b 1.6720318f+16) (if (>= b 0) (/ (* 2 c) (- (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c))))))) (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ c (- (cube (* (cbrt (/ c b)) (cbrt a))) b)) (/ (+ (sqrt (- (sqr b) (* (* c a) 4))) (- b)) (* a 2)))))","end":2.5785063704408713,"name":"jeff quadratic root 2","status":"imp-start","end-est":2.6489425861162332},{"samplers":["default","default","default"],"bits":128,"start":9.889141154228932,"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":16603.321044921875,"target":false,"output":"(if (<= b -2.188014f+09) (if (>= b 0) (/ (- (- b) (sqrt (- (sqr b) (* (* c 4) a)))) (* 2 a)) (/ (* c 2) (- (/ (* c 2) (/ b a)) (- b (- b))))) (if (<= b 1.6720318f+16) (if (>= b 0) (/ (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c)))))))) (if (>= b 0) (- (/ c b) (/ b a)) (/ (* c 2) (+ (- b) (sqrt (- (sqr b) (* (* c 4) a))))))))","end":2.824687142239927,"name":"jeff quadratic root 1","status":"imp-start","end-est":2.6014542812724235},{"samplers":["default","default"],"bits":128,"start":0.0028669915533831437,"link":"7-fabsfraction2","pinf":0,"ninf":0,"vars":["a","b"],"input":"(/ (fabs (- a b)) 2)","time":1497.720947265625,"target":false,"output":"(/ (fabs (- a b)) 2)","end":0.0028669915533831437,"name":"fabs fraction 2","status":"ex-start","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":0.7359476567792705,"link":"8-fabsfraction1","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","time":6370.671875,"target":false,"output":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","end":0.7359476567792705,"name":"fabs fraction 1","status":"ex-start","end-est":0.5505534883185285},{"samplers":["default"],"bits":128,"start":0.06172755151314296,"link":"9-expnegsub","pinf":0,"ninf":0,"vars":["x"],"input":"(exp (- (- 1 (* x x))))","time":4080.07177734375,"target":false,"output":"(exp (- (sqr x) (log E)))","end":0.06172755151314296,"name":"exp neg sub","status":"ex-start","end-est":0.04296875},{"samplers":["default","default"],"bits":128,"start":0.0716836416274787,"link":"10-VandenBroeckandKellerEquation24","pinf":0,"ninf":0,"vars":["B","x"],"input":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","time":5346.23095703125,"target":false,"output":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","end":0.0716836416274787,"name":"VandenBroeck and Keller, Equation (24)","status":"ex-start","end-est":0.0390625},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":15.199991605025398,"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":45849.885986328125,"target":false,"output":"(sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (pow (* n (sqr (/ l Om))) 1) (- U U*))))))","end":12.087739853538594,"name":"Toniolo and Linder, Equation (13)","status":"imp-start","end-est":12.820816769127898},{"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":27.9338572773235,"link":"14-RandomJasonTimeoutTest012","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(acos (pow (fmod (cosh a) (* a a)) (log1p a)))","time":38319.31005859375,"target":false,"output":"(if (<= a 1768.1389f0) (pow (cbrt (acos (pow (fmod (cosh a) (sqr a)) (log1p a)))) 3) (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (sqr a))) (log1p a))))","end":21.262471878886636,"name":"Random Jason Timeout Test 012","status":"imp-start","end-est":24.02693107903144},{"samplers":["default"],"bits":128,"start":14.854396091499442,"link":"15-RandomJasonTimeoutTest011","pinf":0,"ninf":0,"vars":["a"],"input":"(pow (atan (fmod a (asin a))) (* a a))","time":9734.80517578125,"target":false,"output":"(pow (atan (fmod a (asin a))) (sqr a))","end":14.854396091499442,"name":"Random Jason Timeout Test 011","status":"apx-start","end-est":14.174339246535046},{"samplers":["default"],"bits":128,"start":0.3045,"link":"16-RandomJasonTimeoutTest010","pinf":0,"ninf":0,"vars":["a"],"input":"(/ a (- (acos a)))","time":2911.44287109375,"target":false,"output":"(/ a (- (acos a)))","end":0.3045,"name":"Random Jason Timeout Test 010","status":"ex-start","end-est":0.3125},{"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":11058.5380859375,"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":8719.869140625,"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":0.24393755895035032,"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":36800.97705078125,"target":false,"output":"(+ (- (+ (log (+ x y)) (log z)) t) (pow (* (- a 0.5) (log t)) 1))","end":0.2566309472800309,"name":"Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2","status":"ex-start","end-est":0.28927381062715135},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":14.608396449068852,"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":30573.429931640625,"target":false,"output":"(/ (+ (* (+ (+ (* (sqr y) z) (* (pow y 3) x)) 230661.510616) y) t) (+ (* (+ (pow (* (+ (* (+ y a) y) b) y) 1) c) y) i))","end":12.430336020324845,"name":"Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2","status":"imp-start","end-est":12.90123074637238},{"samplers":["default","default","default","default","default","default","default"],"bits":128,"start":0.6184477312174242,"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":24348.261962890625,"target":false,"output":"(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (/ 2.0 (* t 3.0)) 1)))))))))","end":0.03349150011155054,"name":"Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2","status":"ex-start","end-est":0.00390625},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":14.733756454043048,"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":62313.39208984375,"target":false,"output":"(if (<= (* y (log z)) -172.81775f0) (* (* (pow (/ 1 (pow a 1.0)) 1.0) (+ (* t (log a)) (- 1 b))) (* (pow z y) (/ x y))) (if (<= (* y (log z)) 31.02722f0) (/ (* (* x (pow z y)) (pow a (- t 1.0))) (+ (* 1/2 (* y (sqr b))) (+ y (* y b)))) (* (/ (pow a (- t 1.0)) (exp b)) (/ (pow z (/ -1 y)) (/ y x)))))","end":1.7785812704522321,"name":"Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2","status":"imp-start","end-est":2.1846990540734783},{"samplers":["default","default","default"],"bits":128,"start":16.614963380734668,"link":"27-NMSEproblem321","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":12051.863037109375,"target":false,"output":"(if (<= b/2 -0.002621575f0) (/ c (- (* (* a 1/2) (/ c b/2)) (- b/2 (- b/2)))) (if (<= b/2 1.6720318f+16) (/ (pow (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) 1) a) (- (/ 1/2 (/ b/2 c)) (* (/ b/2 a) 2))))","end":3.769994372040649,"name":"NMSE problem 3.2.1","status":"imp-start","end-est":3.819693987356688},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":0.09890842381095488,"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":16075.10400390625,"target":false,"output":"(+ (+ (* x y) (* z t)) (+ (* a b) (* c i)))","end":0.09867370577971125,"name":"Linear.V4:$cdot from linear-1.19.1.3","status":"ex-start","end-est":0.0859375},{"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":5.587892161202957,"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":30408.423828125,"target":false,"output":"(+ (- (* x (- (* y z) (* t a))) (cube (cbrt (* b (- (* c z) (* i a)))))) (* j (- (* c t) (* i y))))","end":5.714155485451917,"name":"Linear.Matrix:det33 from linear-1.19.1.3","status":"apx-start","end-est":5.9178463654673354},{"samplers":["default","default","default","default","default"],"bits":128,"start":3.6077791998061524,"link":"31-HakyllWebTagsrenderTagCloudfromhakyll4723","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","time":14671.212890625,"target":false,"output":"(+ x (* (/ (- y z) (pow (- (+ t 1.0) z) 1)) (- a x)))","end":3.3709870130034543,"name":"Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3","status":"apx-start","end-est":3.140510809020681},{"samplers":["default","default","default","default"],"bits":128,"start":6.309493427101145,"link":"32-GraphicsRenderingChartBackendDiagramscalcFontMetri","pinf":0,"ninf":0,"vars":["x","y","z","t"],"input":"(* x (/ (* (/ y z) t) t))","time":6023.651123046875,"target":false,"output":"(if (<= (/ (* (/ y z) t) t) 1.2040923f+24) (* x (/ y z)) (/ 1 (/ z (* y x))))","end":2.0102248032227013,"name":"Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1","status":"imp-start","end-est":1.7229444556570646},{"samplers":["default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":3.1774912789831995,"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":47006.328857421875,"target":false,"output":"(if (<= y -4.2023934f-05) (+ (- (* (pow (* x (* z t)) 1) (* y 18.0)) (* 4.0 (+ (* x i) (* t a)))) (- (* b c) (* (* j 27.0) k))) (if (<= y 1.9057953f-09) (+ (- (* t (- (* (* x 18.0) (* y z)) (* 4.0 a))) (* 4.0 (* i x))) (- (* c b) (* j (* 27.0 k)))) (+ (- (* (pow (* x (* z t)) 1) (* y 18.0)) (* 4.0 (+ (* x i) (* t a)))) (- (* b c) (* (* j 27.0) k)))))","end":1.5384591704553172,"name":"Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1","status":"imp-start","end-est":1.0308349216786943},{"samplers":["default","default"],"bits":128,"start":0.22303073656418076,"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":29641.83203125,"target":false,"output":"(- (+ (sqr (* (sqrt (+ (sqr a) (sqr b))) (sqrt (+ (sqr a) (sqr b))))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1)","end":0.06330720098422687,"name":"Bouland and Aaronson, Equation (25)","status":"ex-start","end-est":0.07001879884221007},{"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":19100.257080078125,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":21.20884060605605,"link":"36-sqrtsqr","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ x x) (* (/ 1 x) (sqrt (* x x))))","time":1593.529052734375,"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":15.937708496789185,"link":"37-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":18832.905029296875,"target":9.77401436632215,"output":"(if (<= b -1.3462214f+10) (- (/ c b) (/ b a)) (if (<= b -1.4384158f-33) (/ (pow (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) 1) (* 2 a)) (if (<= b 9.795369f+18) (/ (* (/ (* 4 a) 1) (/ c (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) (* 2 a)) (* (/ c b) (/ -2 2)))))","end":2.5346277596648457,"name":"The quadratic formula (r1)","status":"gt-target","end-est":2.6126663311790255}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}