{"bit_width":64,"date":1471001049,"note":"hamming","iterations":2,"flags":["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":"#(1066149172 3462179920 3756494053 4279790727 1233554805 3521179209)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":32.8172653616618,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":29598.867919921875,"target":false,"output":"(cube (cube (cbrt (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))","end":32.82012645077558,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":33.84502071129816},{"samplers":["default"],"bits":128,"start":62.663223484369354,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":5256.5458984375,"target":false,"output":"(- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2))","end":0.18712113917923412,"name":"NMSE problem 3.4.5","status":"imp-start","end-est":27.465132349156313},{"samplers":["default"],"bits":128,"start":60.258103108615664,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":4833.18603515625,"target":false,"output":"(sqrt (+ (* 1/2 (sqr x)) (+ 2 x)))","end":15.071231934816904,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":17.69028537973048},{"samplers":["default"],"bits":128,"start":30.88339606818016,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":13346.794921875,"target":false,"output":"(* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))","end":0.28702152611936915,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":0.23216635745286218},{"samplers":["default"],"bits":128,"start":29.18572976495253,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":7751.33203125,"target":false,"output":"(- (log (+ N 1)) (log N))","end":29.18572976495253,"name":"NMSE problem 3.3.6","status":"apx-start","end-est":27.63340892040701},{"samplers":["default","default"],"bits":128,"start":39.46320003590793,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":35119.6318359375,"target":false,"output":"(- (- (* (cos x) (cos eps)) (log (exp (* (sin x) (sin eps))))) (cos x))","end":24.015855736513714,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":26.94325926983298},{"samplers":["default"],"bits":128,"start":29.523527040193052,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":18843.398193359375,"target":false,"output":"(/ 1 (+ (* (+ (pow x (/ 1 3)) (pow (+ 1 x) (/ 1 3))) (cbrt x)) (sqr (pow (+ 1 x) (/ 1 3)))))","end":2.7404189135512027,"name":"NMSE problem 3.3.4","status":"imp-start","end-est":2.6431911567841344},{"samplers":["default"],"bits":128,"start":14.460507494618277,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":3258.973876953125,"target":false,"output":"(/ (- x (+ 1 x)) (+ x (sqr x)))","end":13.869431831128058,"name":"NMSE problem 3.3.1","status":"apx-start","end-est":14.623401493447092},{"samplers":["default","default","default"],"bits":128,"start":32.75963362054721,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":7605.804931640625,"target":false,"output":"(/ 1 (/ a (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))))","end":32.829466858662386,"name":"NMSE problem 3.2.1, positive","status":"apx-start","end-est":30.27334525652929},{"samplers":["default","default","default"],"bits":128,"start":33.521622201279335,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":8790.360107421875,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":31.283461796704454,"name":"NMSE problem 3.2.1, negative","status":"imp-start","end-est":29.64491300986219},{"samplers":["default","default"],"bits":128,"start":49.41854726493528,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":4245.20703125,"target":19.00880965232555,"output":"(+ (* a x) (* (* (* a x) (* a x)) 1/2))","end":0.18148772167164734,"name":"NMSE section 3.5","status":"gt-target","end-est":21.784902016014236},{"samplers":["default"],"bits":128,"start":60.942187866807224,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":2337.131103515625,"target":60.94531392995952,"output":"(+ 1/2 (+ (/ 1 x) (* 1/12 x)))","end":0.1707712406251803,"name":"NMSE section 3.11","status":"gt-target","end-est":18.488819547935005},{"samplers":["default"],"bits":128,"start":59.37726127552976,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":5452.198974609375,"target":0.05238003628112501,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.07412063784407573,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.08454922071779322},{"samplers":["default","default","default"],"bits":128,"start":61.98665015113409,"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":9908.80908203125,"target":14.895241526212306,"output":"(+ (/ 1 b) (/ 1 a))","end":0.016073120312590145,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":1.9503455900945228},{"samplers":["default"],"bits":128,"start":33.99486722328692,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":7098.43798828125,"target":9.278066913625894,"output":"(+ (sqr x) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))","end":0.13693041407970785,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":0.19851737259716495},{"samplers":["default"],"bits":128,"start":9.745193275897432,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":12662.02783203125,"target":0.3245837828935074,"output":"(/ (/ 2 (+ 1 x)) (* (- x 1) x))","end":0.067148684376262,"name":"NMSE problem 3.3.3","status":"eq-target","end-est":0.0546875},{"samplers":["default","default"],"bits":128,"start":48.4708332278172,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":32091.7919921875,"target":16.43742484417133,"output":"(+ (+ (+ (/ eps (sqr (/ (cos x) (sin x)))) (* (/ (sqr eps) (cos x)) (sin x))) (/ (cube (sin x)) (/ (cube (cos x)) (sqr eps)))) (+ (+ (* 1/3 (cube eps)) eps) (+ (/ (* (* 4/3 eps) (sqr eps)) (sqr (/ (cos x) (sin x)))) (/ (cube eps) (/ (pow (cos x) 4) (pow (sin x) 4))))))","end":0.3369854257845939,"name":"NMSE problem 3.3.2","status":"gt-target","end-est":28.56665549283994},{"samplers":["default","default","default"],"bits":128,"start":32.76019838238367,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":14299.7470703125,"target":20.489432845344258,"output":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","end":32.76019838238367,"name":"NMSE p42, positive","status":"eq-start","end-est":30.20452368783163},{"samplers":["default","default","default"],"bits":128,"start":33.546585817641976,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":14524.786865234375,"target":20.70221103254625,"output":"(/ (/ (* c (* 4 a)) (+ (- b) (sqrt (- (sqr b) (* 4 (* a c)))))) (* 2 a))","end":31.323990162727554,"name":"NMSE p42, negative","status":"lt-target","end-est":29.628747844086362},{"samplers":["default"],"bits":128,"start":59.83833795257261,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":11081.666015625,"target":0.08757246630209686,"output":"(+ (* x 1/3) (+ (log (exp (* 2/945 (pow x 5)))) (* (cube x) 1/45)))","end":0.3634977617411208,"name":"NMSE example 3.9","status":"eq-target","end-est":0.35745232281327616},{"samplers":["default"],"bits":128,"start":63.32245325443366,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":24470.7939453125,"target":60.76880591241886,"output":"(- (* (+ N 1) (log (+ N 1))) (+ (* (log N) (- N)) 1))","end":0.265625,"name":"NMSE example 3.8","status":"gt-target","end-est":60.783886418609804},{"samplers":["default"],"bits":128,"start":59.300638053566196,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":4835.0361328125,"target":0.06321936093777043,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.06721240625180286,"name":"NMSE example 3.7","status":"eq-target","end-est":0.010097509768442016},{"samplers":["default"],"bits":128,"start":19.618398313932513,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":6256.15576171875,"target":0.6503406602812738,"output":"(/ (/ 1 (+ (sqrt (+ 1 x)) (sqrt x))) (* (sqrt x) (sqrt (+ x 1))))","end":0.3980726090209517,"name":"NMSE example 3.6","status":"eq-target","end-est":0.3688851074528622},{"samplers":["default"],"bits":128,"start":14.942786248264564,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2880.3291015625,"target":0.35808322853582497,"output":"(atan2 1 (+ 1 (+ N (sqr N))))","end":0.35833322853582494,"name":"NMSE example 3.5","status":"eq-target","end-est":0.32729734191759624},{"samplers":["default"],"bits":128,"start":30.104236019643473,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":44440.755126953125,"target":0.00025,"output":"(* 1 (/ (sin x) (+ (cos x) 1)))","end":0.45810143103588485,"name":"NMSE example 3.4","status":"eq-target","end-est":0.29633379079143884},{"samplers":["default","default"],"bits":128,"start":36.92942982097841,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":20893.19384765625,"target":15.366249914993436,"output":"(- (* (cos x) (sin eps)) (- (sin x) (* (cos eps) (sin x))))","end":0.42809482739328686,"name":"NMSE example 3.3","status":"gt-target","end-est":0.2845452306542509},{"samplers":["default"],"bits":128,"start":61.28306336106624,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":5631.992919921875,"target":0.49601390891161656,"output":"(- (+ (* 1/2 (sqr x)) (+ 1 x)))","end":0.0075,"name":"NMSE example 3.10","status":"eq-target","end-est":0.273858767786531},{"samplers":["default"],"bits":128,"start":29.607425034292195,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3577.843994140625,"target":0.16351428593921272,"output":"(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))","end":0.16351428593921272,"name":"NMSE example 3.1","status":"eq-target","end-est":0.15625}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}