{"bit_width":32,"date":1467725194,"note":"hamming","iterations":3,"flags":["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":"#(1065512462 304955665 3453608529 2798121886 4060785358 1530871378)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":14.548432428184832,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":13167.10009765625,"target":false,"output":"(cube (log (exp (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))","end":14.672325361959704,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":14.964208545829878},{"samplers":["default"],"bits":128,"start":29.875253800413834,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":7421.2041015625,"target":false,"output":"(- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2))","end":0.3446933048856718,"name":"NMSE problem 3.4.5","status":"imp-start","end-est":14.009942004775477},{"samplers":["default"],"bits":128,"start":27.08127855770756,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":4478.40087890625,"target":false,"output":"(sqrt (+ (* 1/2 (sqr x)) (+ 2 x)))","end":6.949354273294069,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":9.061214942178232},{"samplers":["default"],"bits":128,"start":14.410530611519427,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":9549.010986328125,"target":false,"output":"(/ (cube (/ (cbrt (sqr (sin x))) (cbrt (+ 1 (cos x))))) (sqr x))","end":7.111424876265016,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":6.343628759273685},{"samplers":["default"],"bits":128,"start":19.155064918880697,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":2589.592041015625,"target":false,"output":"(log (/ (+ N 1) N))","end":16.715053105915946,"name":"NMSE problem 3.3.6","status":"imp-start","end-est":12.205323272157036},{"samplers":["default","default"],"bits":128,"start":18.577328560322385,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":8678.2529296875,"target":false,"output":"(/ (/ (- (sqr (sqr (* (cos x) (cos eps)))) (sqr (sqr (+ (* (sin x) (sin eps)) (cos x))))) (+ (sqr (* (cos x) (cos eps))) (sqr (+ (* (sin x) (sin eps)) (cos x))))) (+ (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))))","end":9.168149771152901,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":9.6211644543837},{"samplers":["default"],"bits":128,"start":13.10687652990783,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":8967.85791015625,"target":false,"output":"(- (pow (+ x 1) (/ 1 3)) (sqr (sqrt (pow x (/ 1 3)))))","end":13.295922051499465,"name":"NMSE problem 3.3.4","status":"apx-start","end-est":12.80702981583497},{"samplers":["default"],"bits":128,"start":5.993686937495939,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":3490.60791015625,"target":false,"output":"(/ (- x (+ 1 x)) (+ x (sqr x)))","end":5.022492218620849,"name":"NMSE problem 3.3.1","status":"apx-start","end-est":4.272153253889077},{"samplers":["default","default","default"],"bits":128,"start":15.714872604431546,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":6819.43994140625,"target":false,"output":"(/ (/ (* a c) (- (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.721116876340957,"name":"NMSE problem 3.2.1, positive","status":"apx-start","end-est":14.419086794963295},{"samplers":["default","default","default"],"bits":128,"start":15.514025230110168,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":9293.77001953125,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.682169692373522,"name":"NMSE problem 3.2.1, negative","status":"apx-start","end-est":14.207101084501689},{"samplers":["default","default"],"bits":128,"start":22.7025400753467,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":6015.6201171875,"target":9.80638807654412,"output":"(+ (* (* 1/2 (* x a)) (* x a)) (* x a))","end":0.19932166366653215,"name":"NMSE section 3.5","status":"gt-target","end-est":10.30239011616874},{"samplers":["default"],"bits":128,"start":18.0084809804594,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":5046.875,"target":18.015290012646748,"output":"(/ (exp x) (+ (* 1/2 (sqr x)) (+ (* 1/6 (pow x 3)) x)))","end":5.135168650844966,"name":"NMSE section 3.11","status":"gt-target","end-est":6.496951640767094},{"samplers":["default"],"bits":128,"start":25.811547702850387,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":5668.242919921875,"target":0.1143942559873004,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.12041549661248067,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.15339682276509442},{"samplers":["default","default","default"],"bits":128,"start":29.589937320435123,"link":"13-NMSEproblem342","pinf":0,"ninf":0,"vars":["a","b","eps"],"input":"(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))","time":7054.60302734375,"target":6.322978454235546,"output":"(+ (/ 1 b) (/ 1 a))","end":0.052893825599541464,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":2.2944475751368123},{"samplers":["default"],"bits":128,"start":15.326782552212388,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":4924.343994140625,"target":4.151719593772022,"output":"(+ (sqr x) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))","end":0.31805800017809505,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":0.8781833471589987},{"samplers":["default"],"bits":128,"start":4.3218777177667285,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":8419.012939453125,"target":0.4384937316374306,"output":"(cube (cbrt (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))))","end":4.653795150527683,"name":"NMSE problem 3.3.3","status":"eq-start","end-est":4.288883495177492},{"samplers":["default","default"],"bits":128,"start":16.97780658163463,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":5353.656982421875,"target":7.64649798427042,"output":"(- (/ (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (cos (+ x eps))) (/ 1 (cotan x)))","end":15.262668349093563,"name":"NMSE problem 3.3.2","status":"lt-target","end-est":14.062949973079846},{"samplers":["default","default","default"],"bits":128,"start":15.768108960395047,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":12339.968017578125,"target":9.227597597533048,"output":"(/ (/ (* c (* 4 a)) (- (- b) (sqrt (- (sqr b) (* 4 (* a c)))))) (* 2 a))","end":14.80929106003423,"name":"NMSE p42, positive","status":"eq-start","end-est":14.46054760297321},{"samplers":["default","default","default"],"bits":128,"start":15.585623118755237,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":13265.199951171875,"target":9.172924363343606,"output":"(/ (/ (* c (* 4 a)) (+ (- b) (sqrt (- (sqr b) (* 4 (* a c)))))) (* 2 a))","end":14.770402294414602,"name":"NMSE p42, negative","status":"eq-start","end-est":14.16767376331934},{"samplers":["default"],"bits":128,"start":29.28921659257001,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":6117.739990234375,"target":0.020198120312590145,"output":"(+ (* x 1/3) (+ (* 2/945 (pow x 5)) (* (cube x) 1/45)))","end":0.321625,"name":"NMSE example 3.9","status":"eq-target","end-est":0.30859375},{"samplers":["default"],"bits":128,"start":31.021621657424255,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":30916.715087890625,"target":0.001625,"output":"(- (- (/ (* (- (sqr N) 1) (log (+ N 1))) (- N 1)) (* N (log N))) 1)","end":29.882453918596486,"name":"NMSE example 3.8","status":"lt-target","end-est":29.763213491873067},{"samplers":["default"],"bits":128,"start":26.31276264499056,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":6273.76806640625,"target":0.10170056406367191,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.06788928593921273,"name":"NMSE example 3.7","status":"eq-target","end-est":0.6080491996539374},{"samplers":["default"],"bits":128,"start":8.394768384677233,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":7955.08203125,"target":0.21516748125036053,"output":"(* 1 (/ (/ 1 (+ 1 x)) (+ (/ x (sqrt x)) (/ x (sqrt (+ 1 x))))))","end":0.25582800781475346,"name":"NMSE example 3.6","status":"eq-target","end-est":0.248378759768442},{"samplers":["default"],"bits":128,"start":6.956205362682233,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2633.452880859375,"target":0.5730601674972873,"output":"(atan2 1 (+ 1 (+ N (sqr N))))","end":0.579425769060238,"name":"NMSE example 3.5","status":"eq-target","end-est":0.3794733400655448},{"samplers":["default"],"bits":128,"start":13.460001046376847,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":8067.05419921875,"target":0.019125,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))","end":0.4357873108562971,"name":"NMSE example 3.4","status":"eq-target","end-est":0.3306860248605485},{"samplers":["default","default"],"bits":128,"start":16.865291033217936,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":8610.7529296875,"target":7.495196054217402,"output":"(* 1 (- (* (cos x) (sin eps)) (- (sin x) (* (cos eps) (sin x)))))","end":0.41729444083068595,"name":"NMSE example 3.3","status":"gt-target","end-est":0.42812130053750125},{"samplers":["default"],"bits":128,"start":27.28782047371217,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":5189.955078125,"target":0.6749674748377859,"output":"(- (+ (+ (pow (* 1/2 (sqr x)) 1) 1) x))","end":0.001375,"name":"NMSE example 3.10","status":"eq-target","end-est":0.4633404398736914},{"samplers":["default"],"bits":128,"start":13.139422095090376,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3746.766845703125,"target":0.16956616562662255,"output":"(/ 1 (+ (sqr (sqrt (sqrt (+ x 1)))) (sqrt x)))","end":0.26177341834780943,"name":"NMSE example 3.1","status":"eq-target","end-est":0.2598038086106521}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}