{"bit_width":32,"date":1468855508,"note":"regression","iterations":2,"flags":["rules:numerics","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":"#(1065767146 1567806045 1856802035 1672802504 2070886570 609046914)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":0.09941437730148478,"link":"0-subtractionfraction","pinf":0,"ninf":0,"vars":["f","n"],"input":"(/ (- (+ f n)) (- f n))","time":4341.798095703125,"target":false,"output":"(cube (cbrt (/ (- (+ f n)) (- f n))))","end":0.1591424027069152,"name":"subtraction fraction","status":"ex-start","end-est":0.16671757814753616},{"samplers":["default"],"bits":128,"start":0.46164624062518034,"link":"1-sqrttimes","pinf":0,"ninf":0,"vars":["x"],"input":"(* (sqrt (- x 1)) (sqrt x))","time":5735.554931640625,"target":false,"output":"(* (sqrt (- x 1)) (sqrt x))","end":0.46164624062518034,"name":"sqrt times","status":"ex-start","end-est":0.40625},{"samplers":["default","default","default"],"bits":128,"start":7.78997111632125,"link":"2-rsinbcosabB","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(* r (/ (sin b) (cos (+ a b))))","time":7026.259033203125,"target":false,"output":"(* r (/ (sin b) (- (* (cos a) (cos b)) (cube (* (cbrt (sin a)) (cbrt (sin b)))))))","end":0.34220255447303144,"name":"r*sin(b)/cos(a+b), B","status":"imp-start","end-est":0.35006382009676495},{"samplers":["default","default","default"],"bits":128,"start":7.78997111632125,"link":"3-rsinbcosabA","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(/ (* r (sin b)) (cos (+ a b)))","time":7645.656005859375,"target":false,"output":"(/ (* r (sin b)) (- (* (cos a) (cos b)) (expm1 (log1p (* (sin a) (sin b))))))","end":0.2764003710051557,"name":"r*sin(b)/cos(a+b), A","status":"imp-start","end-est":0.27563375946961355},{"samplers":["default"],"bits":128,"start":0.0704528621966786,"link":"4-neglog","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log (- (/ 1 x) 1)))","time":7339.036865234375,"target":false,"output":"(- (log (sqr (sqrt (- (/ 1 x) 1)))))","end":0.08949468271497961,"name":"neg log","status":"ex-start","end-est":0.06631749970117154},{"samplers":["default","default","default"],"bits":128,"start":10.217277798724968,"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":16018.410888671875,"target":false,"output":"(if (<= b -3.192402f+10) (if (>= b 0) (* c (/ -2 b)) (- (/ c b) (/ b a))) (if (<= b 125099976.0f0) (if (>= b 0) (/ (* 2 c) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (/ (+ (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c)))))) (* 2 a))) (if (>= b 0) (/ c (- (* (/ c b) a) b)) (/ (+ (sqrt (- (sqr b) (* (* c a) 4))) (- b)) (* a 2)))))","end":2.6146854480106514,"name":"jeff quadratic root 2","status":"imp-start","end-est":2.996502158322488},{"samplers":["default","default","default"],"bits":128,"start":10.088728624319996,"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":16285.2890625,"target":false,"output":"(if (<= b -2.376507f+13) (if (>= b 0) (/ (- (fma (* 2 a) (/ c b) (- b)) b) (* 2 a)) (/ c (- (/ a (/ b c)) b))) (if (<= b 100403176.0f0) (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":2.5955313798513515,"name":"jeff quadratic root 1","status":"imp-start","end-est":2.8622519036671124},{"samplers":["default","default"],"bits":128,"start":0,"link":"7-fabsfraction2","pinf":0,"ninf":0,"vars":["a","b"],"input":"(/ (fabs (- a b)) 2)","time":1729.913818359375,"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":0.7725638692909527,"link":"8-fabsfraction1","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","time":6387.3310546875,"target":false,"output":"(fabs (- (/ 1 (/ y (+ x 4))) (* (/ x y) z)))","end":0.830862811728839,"name":"fabs fraction 1","status":"ex-start","end-est":0.5745955911510087},{"samplers":["default"],"bits":128,"start":0.06413348000139442,"link":"9-expnegsub","pinf":0,"ninf":0,"vars":["x"],"input":"(exp (- (- 1 (* x x))))","time":3982.44482421875,"target":false,"output":"(/ (pow (exp x) x) E)","end":0.06706950830081597,"name":"exp neg sub","status":"ex-start","end-est":0.03515625},{"samplers":["default","default"],"bits":128,"start":0.07557312031259013,"link":"10-VandenBroeckandKellerEquation24","pinf":0,"ninf":0,"vars":["B","x"],"input":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","time":4340.446044921875,"target":false,"output":"(+ (* x (- (cotan B))) (/ 1 (sin B)))","end":0.07557312031259013,"name":"VandenBroeck and Keller, Equation (24)","status":"ex-start","end-est":0.056972509768442016},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":15.209340961623653,"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":40164.26416015625,"target":false,"output":"(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (pow (* n (sqr (/ l Om))) 1) (- U U*)))))","end":13.642727833454947,"name":"Toniolo and Linder, Equation (13)","status":"imp-start","end-est":13.999289306979817},{"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":28.026012716483493,"link":"14-RandomJasonTimeoutTest012","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(acos (pow (fmod (cosh a) (* a a)) (log1p a)))","time":43403.671142578125,"target":false,"output":"(if (<= a 1907.6777f0) (cube (cbrt (acos (pow (fmod (cosh a) (sqr a)) (log1p a))))) (acos (pow (fmod (cosh (/ 1 a)) (/ 1 (sqr a))) (log1p a))))","end":21.38487117934201,"name":"Random Jason Timeout Test 012","status":"imp-start","end-est":23.589666920193118},{"samplers":["default"],"bits":128,"start":15.353957974452928,"link":"15-RandomJasonTimeoutTest011","pinf":0,"ninf":0,"vars":["a"],"input":"(pow (atan (fmod a (asin a))) (* a a))","time":12371.631103515625,"target":false,"output":"(pow (atan (fmod a (exp (log (asin a))))) (sqr a))","end":0.7592211449388004,"name":"Random Jason Timeout Test 011","status":"imp-start","end-est":0.7579096298591733},{"samplers":["default"],"bits":128,"start":0.30175,"link":"16-RandomJasonTimeoutTest010","pinf":0,"ninf":0,"vars":["a"],"input":"(/ a (- (acos a)))","time":2502.065185546875,"target":false,"output":"(/ a (- (acos a)))","end":0.30175,"name":"Random Jason Timeout Test 010","status":"ex-start","end-est":0.2578125},{"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":11514.97802734375,"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":9319.390869140625,"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":0.2460909313553148,"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":45058.398193359375,"target":false,"output":"(/ (- (sqr (log (+ x y))) (sqr (- (+ (* (- a 0.5) (log t)) (log z)) t))) (+ (- (log (+ x y)) (fma (- a 0.5) (log t) (log z))) t))","end":0.3566755871525615,"name":"Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2","status":"ex-start","end-est":0.3435385907178479},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":13.963351236648272,"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":20277.028076171875,"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":13.088733882376923,"name":"Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2","status":"apx-start","end-est":13.622774384017399},{"samplers":["default","default","default","default","default","default","default"],"bits":128,"start":0.600306503015756,"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":23267.6669921875,"target":false,"output":"(/ x (fma (pow (exp 2.0) (- (/ (sqrt (+ a t)) (/ t z)) (* (- (+ (/ 5.0 6.0) a) (/ 2.0 (* 3.0 t))) (- b c)))) y x))","end":0.9940574115578203,"name":"Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2","status":"ex-start","end-est":0.9725349260132874},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":14.413368707187612,"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":53357.544189453125,"target":false,"output":"(if (<= b -31.868288f0) (/ (/ x (exp (/ 1 b))) (/ (/ y (pow z y)) (pow a (- t 1.0)))) (if (<= b 132.33244f0) (* (pow a t) (/ (/ x (exp b)) (/ (/ y (pow z y)) (pow a (- 1.0))))) (/ (/ x (exp b)) (- (* y a) (* (* y a) (fma (log z) y (* t (log a))))))))","end":2.5775579729446796,"name":"Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2","status":"imp-start","end-est":3.318393783219573},{"samplers":["default","default","default"],"bits":128,"start":17.72442999588378,"link":"27-NMSEproblem321","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":14293.593017578125,"target":false,"output":"(if (<= b/2 -2.0043302f-07) (/ c (- (* (* 1/2 c) (/ a b/2)) (* 2 b/2))) (if (<= b/2 100403176.0f0) (* (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) (/ 1 a)) (- (/ 1/2 (/ b/2 c)) (* (/ b/2 a) 2))))","end":3.3701136223216395,"name":"NMSE problem 3.2.1","status":"imp-start","end-est":3.8799457619021784},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":0.1062926478429625,"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":9878.63818359375,"target":false,"output":"(fma i c (fma b a (fma y x (* t z))))","end":0.06267137317628153,"name":"Linear.V4:$cdot from linear-1.19.1.3","status":"ex-start","end-est":0.06640625},{"samplers":["default","default","default","default","default","default","default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":11.840158827310058,"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":163513.11010742188,"target":false,"output":"(+ (* (- (* y4 y1) (* y0 y5)) (- (* y2 k) (* j y3))) (- (fma (- (* a b) (* c i)) (- (* y x) (* t z)) (fma (- (* t j) (* k y)) (- (* y4 b) (* y5 i)) (* (- (* y2 x) (* z y3)) (- (* y0 c) (* a y1))))) (fma (- (* j x) (* z k)) (- (* b y0) (* y1 i)) (* (- (* y4 c) (* y5 a)) (- (* t y2) (* y y3))))))","end":11.835146798478362,"name":"Linear.Matrix:det44 from linear-1.19.1.3","status":"apx-start","end-est":11.988406921447712},{"samplers":["default","default","default","default","default","default","default","default","default"],"bits":128,"start":5.7302077487475165,"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":21067.10888671875,"target":false,"output":"(- (fma (- (* c t) (* i y)) j (cube (cbrt (* (- (* y z) (* t a)) x)))) (* b (- (* c z) (* i a))))","end":5.8750638168261275,"name":"Linear.Matrix:det33 from linear-1.19.1.3","status":"apx-start","end-est":5.050710529276495},{"samplers":["default","default","default","default","default"],"bits":128,"start":3.596672920954412,"link":"31-HakyllWebTagsrenderTagCloudfromhakyll4723","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","time":8001.2919921875,"target":false,"output":"(fma (- a x) (* (- y z) (/ 1 (- (+ 1.0 t) z))) x)","end":3.6533108153531515,"name":"Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3","status":"apx-start","end-est":3.751748224258275},{"samplers":["default","default","default","default"],"bits":128,"start":6.465645459723618,"link":"32-GraphicsRenderingChartBackendDiagramscalcFontMetri","pinf":0,"ninf":0,"vars":["x","y","z","t"],"input":"(* x (/ (* (/ y z) t) t))","time":3502.755126953125,"target":false,"output":"(* x (/ y z))","end":2.719103771285467,"name":"Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1","status":"imp-start","end-est":2.6024857813132427},{"samplers":["default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":3.246512938431504,"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":19500.373779296875,"target":false,"output":"(- (fma (* t z) (cube (cbrt (* 18.0 (* x y)))) (* c b)) (fma 4.0 (fma i x (* t a)) (* j (* 27.0 k))))","end":3.0994556485492857,"name":"Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1","status":"apx-start","end-est":2.595208573320992},{"samplers":["default","default"],"bits":128,"start":0.23879550912193578,"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":20986.971923828125,"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":0.1335155358049096,"name":"Bouland and Aaronson, Equation (25)","status":"ex-start","end-est":0.1015625},{"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":18871.691162109375,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":21.17856119242961,"link":"36-sqrtsqr","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ x x) (* (/ 1 x) (sqrt (* x x))))","time":1158.526123046875,"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":16.991029587069463,"link":"37-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":14525.526123046875,"target":10.799941015979671,"output":"(if (<= b -7.1884515f+13) (- (/ c b) (/ b a)) (if (<= b 3.5037975f0) (* (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (/ 1 (* 2 a))) (* (/ c b) (/ -2 2))))","end":3.572338742876396,"name":"The quadratic formula (r1)","status":"gt-target","end-est":4.139710307388256}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}