{"bit_width":32,"date":1470145313,"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":"#(1065990927 2514927446 2806713580 2976231080 3799737104 4212629478)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":14.58439662909991,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":13151.427978515625,"target":false,"output":"(cube (cube (cbrt (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))","end":14.598692281334149,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":15.147753229724485},{"samplers":["default"],"bits":128,"start":14.672278760013935,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":8440.18701171875,"target":false,"output":"(/ (- x (sin x)) (- x (tan x)))","end":14.672278760013935,"name":"NMSE problem 3.4.5","status":"apx-start","end-est":14.704113075154751},{"samplers":["default"],"bits":128,"start":26.610532329588963,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":10135.14697265625,"target":false,"output":"(+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (cube (cbrt (log (/ (sqr x) (sqrt 2))))) (log (- 1/4 (/ 1/8 2))))))","end":1.6928287010876317,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":10.70942905996394},{"samplers":["default"],"bits":128,"start":14.577125305910076,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":6269.16796875,"target":false,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))","end":7.427058985623789,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":6.8301229638015775},{"samplers":["default"],"bits":128,"start":19.21499826052107,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":3279.843994140625,"target":false,"output":"(log (/ (+ N 1) N))","end":16.748739856576123,"name":"NMSE problem 3.3.6","status":"imp-start","end-est":12.04308280293534},{"samplers":["default","default"],"bits":128,"start":18.380716849518997,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":9485.130126953125,"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":8.930917169479802,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":9.75437176067337},{"samplers":["default"],"bits":128,"start":18.88407782958603,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":6105.422119140625,"target":false,"output":"(- (sqr (sqrt (pow (+ x 1) (/ 1 3)))) (cbrt x))","end":8.717161558552519,"name":"NMSE problem 3.3.4","status":"imp-start","end-est":12.563581943933787},{"samplers":["default"],"bits":128,"start":5.916025586960986,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":3397.537841796875,"target":false,"output":"(/ (/ (log (/ 1 E)) (+ x 1)) x)","end":0.0345,"name":"NMSE problem 3.3.1","status":"imp-start","end-est":0.0390625},{"samplers":["default","default","default"],"bits":128,"start":15.89711683016068,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":8232.325927734375,"target":false,"output":"(/ (* (/ a 1) (/ c (- (- b/2) (sqrt (- (sqr b/2) (* a c)))))) a)","end":13.570815398952906,"name":"NMSE problem 3.2.1, positive","status":"imp-start","end-est":12.064366427063417},{"samplers":["default","default","default"],"bits":128,"start":15.614467802466457,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":8107.18310546875,"target":false,"output":"(/ (* (/ a 1) (/ c (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))))) a)","end":14.137584531347548,"name":"NMSE problem 3.2.1, negative","status":"imp-start","end-est":12.924651733788249},{"samplers":["default","default"],"bits":128,"start":22.591830604592513,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":4584.238037109375,"target":9.79706137612569,"output":"(+ (* (* 1/2 (* x a)) (* x a)) (* x a))","end":0.19689961668166842,"name":"NMSE section 3.5","status":"gt-target","end-est":11.225920434798006},{"samplers":["default"],"bits":128,"start":18.01655191525286,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":5223.60693359375,"target":18.018577356172926,"output":"(/ (exp x) (+ (* 1/2 (sqr x)) (+ (* 1/6 (pow x 3)) x)))","end":5.258299235434264,"name":"NMSE section 3.11","status":"gt-target","end-est":7.6572852388314825},{"samplers":["default"],"bits":128,"start":25.76921723744424,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":5095.873046875,"target":0.1064594208475432,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.11215754116013335,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.14736998197236317},{"samplers":["default","default","default"],"bits":128,"start":29.536568750684197,"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":10906.59912109375,"target":6.47255498719211,"output":"(+ (/ 1 b) (/ 1 a))","end":0.056127484975651606,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":1.5220188656558726},{"samplers":["default"],"bits":128,"start":15.219027451654927,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":9706.845947265625,"target":4.1305018696947355,"output":"(+ (sqr x) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))","end":0.33709507984620696,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":1.7041234637398492},{"samplers":["default"],"bits":128,"start":4.320389877086724,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":12053.801025390625,"target":0.44019170801690904,"output":"(/ (/ 2 (* (+ x 1) x)) (- x 1))","end":0.10453797031547482,"name":"NMSE problem 3.3.3","status":"eq-target","end-est":0.125},{"samplers":["default","default"],"bits":128,"start":16.826704529375164,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":5234.614013671875,"target":7.771755711476831,"output":"(/ (- (sqr (/ 1 (/ 1 (tan (+ x eps))))) (sqr (tan x))) (+ (tan x) (tan (+ eps x))))","end":16.826418906838335,"name":"NMSE problem 3.3.2","status":"eq-start","end-est":17.171771633997416},{"samplers":["default","default","default"],"bits":128,"start":15.958100033528916,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":12461.015869140625,"target":9.265608579978464,"output":"(/ 1 (* (/ 2 (* 4 c)) (- (- b) (sqrt (- (sqr b) (* (* a c) 4))))))","end":13.773432818601492,"name":"NMSE p42, positive","status":"lt-target","end-est":12.301002027285442},{"samplers":["default","default","default"],"bits":128,"start":15.678134718965588,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":9574.158203125,"target":9.45451799868958,"output":"(/ (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* a 2))","end":15.696751002780301,"name":"NMSE p42, negative","status":"eq-start","end-est":13.638589772706762},{"samplers":["default"],"bits":128,"start":29.35376509932635,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":5830.036865234375,"target":0.01902124062518029,"output":"(+ (* x 1/3) (+ (* 2/945 (pow x 5)) (* (cube x) 1/45)))","end":0.32075,"name":"NMSE example 3.9","status":"eq-target","end-est":0.28125},{"samplers":["default"],"bits":128,"start":31.021609728479014,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":28093.571044921875,"target":0.0015,"output":"(- (sqr (sqrt (- (/ (log (+ N 1)) (/ 1 (+ N 1))) (* (log N) N)))) 1)","end":29.431276317495207,"name":"NMSE example 3.8","status":"lt-target","end-est":29.41215099895743},{"samplers":["default"],"bits":128,"start":26.232157416544652,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":4302.337158203125,"target":0.10556616562662262,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.06774304531403245,"name":"NMSE example 3.7","status":"eq-target","end-est":1.084723402614991},{"samplers":["default"],"bits":128,"start":8.516994990009305,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":8369.251953125,"target":0.2203656015629507,"output":"(* 1 (/ (/ 1 (+ 1 x)) (+ (/ x (sqrt x)) (/ x (sqrt (+ 1 x))))))","end":0.2566911656266226,"name":"NMSE example 3.6","status":"eq-target","end-est":0.26953125},{"samplers":["default"],"bits":128,"start":6.859419372952644,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2741.882080078125,"target":0.5984505490932377,"output":"(atan2 (- 1 0) (+ 1 (* (+ N 1) N)))","end":0.5984505490932377,"name":"NMSE example 3.5","status":"eq-target","end-est":0.5715607007850724},{"samplers":["default"],"bits":128,"start":13.576611110241748,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":7334.576171875,"target":0.022375,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))","end":0.42600416664841545,"name":"NMSE example 3.4","status":"eq-target","end-est":0.4574176925364244},{"samplers":["default","default"],"bits":128,"start":16.7446982448568,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":9012.31298828125,"target":7.733954916030829,"output":"(* 1 (- (* (cos x) (sin eps)) (- (sin x) (* (cos eps) (sin x)))))","end":0.4604234689178339,"name":"NMSE example 3.3","status":"gt-target","end-est":0.45955995324176596},{"samplers":["default"],"bits":128,"start":27.221683825113633,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":5803.552001953125,"target":0.7111845611200958,"output":"(- (+ (* 1/2 (sqr x)) (+ 1 x)))","end":0.027375,"name":"NMSE example 3.10","status":"eq-target","end-est":0.5541925995509306},{"samplers":["default"],"bits":128,"start":13.21954543706752,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3637.4638671875,"target":0.17107556406367186,"output":"(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))","end":0.17107556406367186,"name":"NMSE example 3.1","status":"eq-target","end-est":0.13509750976844204}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}