{"bit_width":32,"date":1469623645,"note":"hamming","iterations":2,"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":"#(1065894488 2199264003 1058398788 1110142813 3223388056 148167450)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":14.768074519054666,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":13259.943115234375,"target":false,"output":"(cube (cube (cbrt (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))","end":14.78877208852288,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":13.333326990681927},{"samplers":["default"],"bits":128,"start":15.19308062899361,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":2981.607177734375,"target":false,"output":"(/ (- x (sin x)) (- x (tan x)))","end":15.19308062899361,"name":"NMSE problem 3.4.5","status":"apx-start","end-est":14.958530096910186},{"samplers":["default"],"bits":128,"start":27.2387110494975,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":2859.751953125,"target":false,"output":"(sqrt (+ (* 1/2 (sqr x)) (+ 2 x)))","end":6.888669205262947,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":10.707608182892107},{"samplers":["default"],"bits":128,"start":14.997345987988528,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":4512.60302734375,"target":false,"output":"(sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))","end":0.31949257716869806,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":0.2410422987449989},{"samplers":["default"],"bits":128,"start":18.891174861783863,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":2391.93310546875,"target":false,"output":"(log (+ 1 (/ 1 N)))","end":16.47237727615223,"name":"NMSE problem 3.3.6","status":"imp-start","end-est":11.774716748515111},{"samplers":["default","default"],"bits":128,"start":18.261823972470534,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":5320.22998046875,"target":false,"output":"(/ (- (sqr (* (cos x) (cos eps))) (sqr (+ (* (sin x) (sin eps)) (cos x)))) (+ (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))))","end":9.13233985642517,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":10.121080810832472},{"samplers":["default"],"bits":128,"start":13.127206292796805,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":10552.928955078125,"target":false,"output":"(pow E (log (- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))))","end":13.128214275928942,"name":"NMSE problem 3.3.4","status":"apx-start","end-est":12.435898217627011},{"samplers":["default"],"bits":128,"start":5.612286319551642,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":2635.658935546875,"target":false,"output":"(/ (- x (+ 1 x)) (* (+ x 1) x))","end":4.716308908935909,"name":"NMSE problem 3.3.1","status":"apx-start","end-est":4.3713318553892675},{"samplers":["default","default","default"],"bits":128,"start":15.517581574225442,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":6179.3359375,"target":false,"output":"(/ (* (/ a 1) (/ c (- (- b/2) (sqrt (- (sqr b/2) (* a c)))))) a)","end":13.761627093442609,"name":"NMSE problem 3.2.1, positive","status":"imp-start","end-est":13.689477215202338},{"samplers":["default","default","default"],"bits":128,"start":15.771332216656836,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":6549.10498046875,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.53694611356294,"name":"NMSE problem 3.2.1, negative","status":"imp-start","end-est":14.252585218770246},{"samplers":["default","default"],"bits":128,"start":22.671233303412887,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":4388.171875,"target":9.621922991376195,"output":"(+ (* (* 1/2 (* x a)) (* x a)) (* x a))","end":0.19226502784035807,"name":"NMSE section 3.5","status":"gt-target","end-est":10.241090650049335},{"samplers":["default"],"bits":128,"start":18.501613364742674,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":4677.85498046875,"target":18.5102766058823,"output":"(/ (exp x) (cube (cbrt (+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x))))","end":0.5325120420346511,"name":"NMSE section 3.11","status":"gt-target","end-est":3.260331996360223},{"samplers":["default"],"bits":128,"start":25.945793123110292,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":4223.36181640625,"target":0.0670321985917836,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.07155343921696387,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.3695983604978412},{"samplers":["default","default","default"],"bits":128,"start":29.598521431449125,"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":6428.154052734375,"target":6.361866081152963,"output":"(+ (/ 1 b) (/ 1 a))","end":0.056268439135617326,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":1.8169518645435683},{"samplers":["default"],"bits":128,"start":13.599213006155766,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":5681.31494140625,"target":1.0180231764651777,"output":"(+ (sqr x) (+ (* 1/12 (pow x 4)) (log (exp (* 1/360 (pow x 6))))))","end":0.7730171536663075,"name":"NMSE problem 3.3.7","status":"eq-target","end-est":1.8378189532896598},{"samplers":["default"],"bits":128,"start":4.040655241862123,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":16592.3701171875,"target":0.37943724786462363,"output":"(/ (- (sqr (- (/ 1 (+ x 1)) (/ 2 x))) (sqr (/ 1 (- x 1)))) (- (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))))","end":11.266490523071722,"name":"NMSE problem 3.3.3","status":"lt-start","end-est":10.975690108280283},{"samplers":["default","default"],"bits":128,"start":16.555452804886514,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":3688.60888671875,"target":7.531672160788707,"output":"(/ (- (sqr (/ 1 (cotan (+ x eps)))) (sqr (tan x))) (+ (/ 1 (cotan (+ x eps))) (tan x)))","end":16.63981168317322,"name":"NMSE problem 3.3.2","status":"eq-start","end-est":16.698215687765185},{"samplers":["default","default","default"],"bits":128,"start":15.610997801321966,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":9918.60498046875,"target":9.356867329539746,"output":"(* (/ c 2) (/ 4 (- (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":13.856610413025559,"name":"NMSE p42, positive","status":"lt-target","end-est":13.719083210823781},{"samplers":["default","default","default"],"bits":128,"start":15.852857977940227,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":10301.10693359375,"target":9.313857486856802,"output":"(/ 1 (* (+ (- b) (sqrt (- (sqr b) (* (* a c) 4)))) (/ (/ 2 c) 4)))","end":13.662852278066058,"name":"NMSE p42, negative","status":"lt-target","end-est":13.231594490402069},{"samplers":["default"],"bits":128,"start":29.382097406665576,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":4957.9111328125,"target":0.017469360937770434,"output":"(+ (* x 1/3) (+ (* 2/945 (pow x 5)) (* (cube x) 1/45)))","end":0.327125,"name":"NMSE example 3.9","status":"eq-target","end-est":0.3359375},{"samplers":["default"],"bits":128,"start":31.021608082262905,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":31471.927001953125,"target":0.00175,"output":"(- (- (/ (cube (cbrt (* (- (sqr N) 1) (log (+ N 1))))) (- N 1)) (* N (log N))) 1)","end":29.891710401180962,"name":"NMSE example 3.8","status":"lt-target","end-est":29.857200464937343},{"samplers":["default"],"bits":128,"start":26.339509602333997,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":3953.166015625,"target":0.10173364687698322,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.06492236875252402,"name":"NMSE example 3.7","status":"eq-target","end-est":1.0284229005182346},{"samplers":["default"],"bits":128,"start":8.303123270822958,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":6304.440185546875,"target":0.2147712406251803,"output":"(/ (/ 1 (+ (sqr x) x)) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))","end":2.887022830236147,"name":"NMSE example 3.6","status":"lt-target","end-est":2.412416047706108},{"samplers":["default"],"bits":128,"start":6.540673277531814,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2625.513916015625,"target":0.5191592566793662,"output":"(atan2 (- 1 0) (+ 1 (* (+ N 1) N)))","end":0.5191592566793662,"name":"NMSE example 3.5","status":"eq-target","end-est":0.6506271047969931},{"samplers":["default"],"bits":128,"start":14.07333238681803,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":4141.244873046875,"target":0.01775,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))","end":0.4165371940034867,"name":"NMSE example 3.4","status":"eq-target","end-est":0.457757036320205},{"samplers":["default","default"],"bits":128,"start":16.47288737993796,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":4741.551025390625,"target":7.39242769223797,"output":"(/ (- (sqr (* (sin x) (cos eps))) (sqr (- (* (cos x) (sin eps)) (sin x)))) (- (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))","end":6.258453992420528,"name":"NMSE example 3.3","status":"gt-target","end-est":6.849402139136858},{"samplers":["default"],"bits":128,"start":27.401928625657185,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":4156.958984375,"target":0.6149472647170215,"output":"(- (+ (* 1/2 (sqr x)) (+ 1 x)))","end":0.024,"name":"NMSE example 3.10","status":"eq-target","end-est":0.673117336570851},{"samplers":["default"],"bits":128,"start":13.169451888019355,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3673.40087890625,"target":0.1693468046888521,"output":"(/ 1 (+ (sqr (sqrt (sqrt (+ x 1)))) (sqrt x)))","end":0.2564004550737271,"name":"NMSE example 3.1","status":"eq-target","end-est":0.22398378907376806}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}