{"bit_width":32,"date":1468595774,"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"],"seed":"#(1065670707 1252142602 108487242 4101615998 1494603059 839552182)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":14.578606371406885,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":16806.593017578125,"target":false,"output":"(cube (cube (cbrt (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))","end":14.594083647265565,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":14.747943983528081},{"samplers":["default"],"bits":128,"start":14.468403044947728,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":3431.18798828125,"target":false,"output":"(/ (- x (sin x)) (- x (tan x)))","end":14.468403044947728,"name":"NMSE problem 3.4.5","status":"apx-start","end-est":14.522063362088216},{"samplers":["default"],"bits":128,"start":26.711650386489172,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":12092.951171875,"target":false,"output":"(+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (- (log (* x x)) (log (sqrt 2))) (log (- 1/4 (/ 1/8 2))))))","end":1.319881708555469,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":10.867764567886368},{"samplers":["default"],"bits":128,"start":14.377034524128526,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":6853.53515625,"target":false,"output":"(sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))","end":0.3449815651421935,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":0.3496158776568043},{"samplers":["default"],"bits":128,"start":12.765775966255205,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":5053.02099609375,"target":false,"output":"(sqr (sqrt (log (/ (+ N 1) N))))","end":12.721614461283695,"name":"NMSE problem 3.3.6","status":"apx-start","end-est":12.422730348322753},{"samplers":["default","default"],"bits":128,"start":18.65285177189096,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":9498.43212890625,"target":false,"output":"(- (pow (* (cos x) (cos eps)) 1) (+ (* (sin x) (sin eps)) (cos x)))","end":9.172717384802425,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":8.920319695026548},{"samplers":["default"],"bits":128,"start":13.063539649687343,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":11631.7080078125,"target":false,"output":"(exp (log (- (pow (+ x 1) (/ 1 3)) (exp (/ (log x) 3)))))","end":13.116739829555137,"name":"NMSE problem 3.3.4","status":"apx-start","end-est":12.845074137535633},{"samplers":["default"],"bits":128,"start":5.954478919247316,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":3612.843994140625,"target":false,"output":"(/ (- x (+ 1 x)) (+ x (sqr x)))","end":5.012276422269097,"name":"NMSE problem 3.3.1","status":"apx-start","end-est":5.216469411541999},{"samplers":["default","default","default"],"bits":128,"start":15.793093243327784,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":7338.632080078125,"target":false,"output":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","end":15.793093243327784,"name":"NMSE problem 3.2.1, positive","status":"apx-start","end-est":15.526459140316442},{"samplers":["default","default","default"],"bits":128,"start":15.805272843625461,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":8251.009033203125,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.756476223527915,"name":"NMSE problem 3.2.1, negative","status":"imp-start","end-est":14.068598461904877},{"samplers":["default","default"],"bits":128,"start":21.41449178375469,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":5905.122802734375,"target":7.282835360167269,"output":"(+ (* a x) (* (* (* a x) (* a x)) (+ (* (* a x) 1/6) 1/2)))","end":0.23347735235181344,"name":"NMSE section 3.5","status":"gt-target","end-est":10.86057667856316},{"samplers":["default"],"bits":128,"start":18.039024192729187,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":5622.114013671875,"target":18.04885289520255,"output":"(/ (exp x) (cube (cbrt (+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x))))","end":0.5130474738885887,"name":"NMSE section 3.11","status":"gt-target","end-est":3.7171192668264106},{"samplers":["default"],"bits":128,"start":25.929363501558328,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":5303.9580078125,"target":0.10365445730807539,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.10660257762066555,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.5326223002038319},{"samplers":["default","default","default"],"bits":128,"start":29.65513694042552,"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":66085.59497070312,"target":6.4419603848428935,"output":"(+ (/ 1 b) (/ 1 a))","end":0.05861001900707798,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":2.015605394309777},{"samplers":["default"],"bits":128,"start":14.679953814064174,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":6051.535888671875,"target":2.720509876555737,"output":"(* (+ x (+ (* 1/1920 (pow x 5)) (* (cube x) 1/24))) (+ x (+ (* 1/1920 (pow x 5)) (* (cube x) 1/24))))","end":0.10174274882769424,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":1.695310718806096},{"samplers":["default"],"bits":128,"start":4.297039718043403,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":6865.85498046875,"target":0.3569175259561663,"output":"(/ (/ 2 (+ 1 x)) (* x (- x 1)))","end":0.11012537656727774,"name":"NMSE problem 3.3.3","status":"eq-target","end-est":0.10451127930532605},{"samplers":["default","default"],"bits":128,"start":22.305621085675572,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":15886.01611328125,"target":8.688467112762503,"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":0.3279123121743926,"name":"NMSE problem 3.3.2","status":"gt-target","end-est":15.746733590711333},{"samplers":["default","default","default"],"bits":128,"start":15.821710184052579,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":10171.724853515625,"target":9.577241280052984,"output":"(* (/ 1 2) (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) a))","end":15.799915655817681,"name":"NMSE p42, positive","status":"eq-start","end-est":15.49525575475986},{"samplers":["default","default","default"],"bits":128,"start":15.838026402315622,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":12001.260986328125,"target":9.466974653593553,"output":"(* (/ c 2) (/ 4 (+ (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":13.795966310964987,"name":"NMSE p42, negative","status":"lt-target","end-est":13.285373558610017},{"samplers":["default"],"bits":128,"start":29.31607894503014,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":6031.25,"target":0.01802124062518029,"output":"(+ (* x 1/3) (+ (* 2/945 (pow x 5)) (* (cube x) 1/45)))","end":0.3225,"name":"NMSE example 3.9","status":"eq-target","end-est":0.28515625},{"samplers":["default"],"bits":128,"start":31.021609593234782,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":42786.783935546875,"target":0.001375,"output":"(- (- (cube (/ (cbrt (* (- (sqr N) 1) (log (+ N 1)))) (cbrt (- N 1)))) (* N (log N))) 1)","end":29.894743784958813,"name":"NMSE example 3.8","status":"lt-target","end-est":29.866606632646103},{"samplers":["default"],"bits":128,"start":25.896266172808875,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":8244.718994140625,"target":1.0342910754099146,"output":"(* (* x (+ (+ 1/2 (* 1/8 x)) (* (* 1/48 x) x))) (+ (sqrt (exp x)) 1))","end":0.19663009497678816,"name":"NMSE example 3.7","status":"eq-target","end-est":1.40705783678641},{"samplers":["default"],"bits":128,"start":8.345573248557992,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":6684.62109375,"target":0.21656372187554088,"output":"(/ (/ (/ 1 x) (+ (/ 1 (sqrt (+ 1 x))) (/ 1 (sqrt x)))) (+ 1 x))","end":0.3269968558023582,"name":"NMSE example 3.6","status":"eq-target","end-est":0.29296875},{"samplers":["default"],"bits":128,"start":6.889623952194282,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2632.3740234375,"target":0.5994049004416014,"output":"(atan2 (- 1 0) (+ 1 (* (+ N 1) N)))","end":0.5994049004416014,"name":"NMSE example 3.5","status":"eq-target","end-est":0.5743896373771156},{"samplers":["default"],"bits":128,"start":13.441710630796573,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":40126.2880859375,"target":0.0205,"output":"(cube (cbrt (/ (sin x) (+ (cos x) 1))))","end":0.9953701146557916,"name":"NMSE example 3.4","status":"eq-target","end-est":1.0159550421893868},{"samplers":["default","default"],"bits":128,"start":16.695182269563425,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":8972.888916015625,"target":7.661008860832532,"output":"(/ (- (sqr (* (sin x) (cos eps))) (sqr (- (* (cos x) (sin eps)) (sin x)))) (- (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))","end":6.179365097193065,"name":"NMSE example 3.3","status":"gt-target","end-est":6.19110473901521},{"samplers":["default"],"bits":128,"start":26.999698885484268,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":10627.41796875,"target":0.4733739408894719,"output":"(log (- (- (exp -1) (* (exp -1) x)) (* (* (exp -1) 1/12) (cube x))))","end":0.08704736875252406,"name":"NMSE example 3.10","status":"eq-target","end-est":0.6836413476094301},{"samplers":["default"],"bits":128,"start":13.106320113187243,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3180.119140625,"target":0.1654199250014423,"output":"(pow (+ (sqrt (+ x 1)) (sqrt x)) -1)","end":0.24749097813022816,"name":"NMSE example 3.1","status":"eq-target","end-est":0.324882519536884}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}