{"bit_width":32,"date":1468588891,"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":"#(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":12905.696044921875,"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":2858.069091796875,"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":9410.945068359375,"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":5792.56298828125,"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":5065.505859375,"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":5334.20703125,"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":9.155791091683444,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":8.85140929932278},{"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":7850.924072265625,"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":2204.8349609375,"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":5454.534912109375,"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":6702.64892578125,"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":22.75476580955008,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":3940.27685546875,"target":10.008953681421497,"output":"(+ (* (* 1/2 (* x a)) (* x a)) (* x a))","end":0.1978714514798111,"name":"NMSE section 3.5","status":"gt-target","end-est":11.731795390526736},{"samplers":["default"],"bits":128,"start":18.039024192729187,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":4779.30810546875,"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":4461.096923828125,"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":7051.074951171875,"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":15.443612308854565,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":4979.613037109375,"target":4.135957128776954,"output":"(+ (sqr x) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))","end":0.3664139120474123,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":1.8545393963425245},{"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":6099.034912109375,"target":0.3569175259561663,"output":"(cube (cbrt (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))))","end":4.635547005947727,"name":"NMSE problem 3.3.3","status":"eq-start","end-est":4.742968417647782},{"samplers":["default","default"],"bits":128,"start":16.815030618607924,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":3316.68212890625,"target":7.746774509961463,"output":"(- (tan (+ x eps)) (/ (sin x) (cos x)))","end":16.863040255040342,"name":"NMSE problem 3.3.2","status":"eq-start","end-est":17.503573523538453},{"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":8070.219970703125,"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":10323.991943359375,"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":5008.919921875,"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":31902.23095703125,"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":26.348849324447514,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":4208.35595703125,"target":0.10508740625180292,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.06823364687698316,"name":"NMSE example 3.7","status":"eq-target","end-est":1.5612804096022448},{"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":6018.294189453125,"target":0.21656372187554088,"output":"(/ (/ 1 (+ (sqr x) x)) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))","end":3.0637286495376648,"name":"NMSE example 3.6","status":"lt-target","end-est":2.8107028276891968},{"samplers":["default"],"bits":128,"start":6.889623952194282,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2415.26708984375,"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":4670.31884765625,"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":4972.60498046875,"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":27.23044049713889,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":4385.428955078125,"target":0.6581062213003334,"output":"(- (+ (* 1/2 (sqr x)) (+ 1 x)))","end":0.025625,"name":"NMSE example 3.10","status":"eq-target","end-est":0.9889697701670805},{"samplers":["default"],"bits":128,"start":13.106320113187243,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3119.322021484375,"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"}