{"bit_width":32,"date":1470840817,"note":"hamming","iterations":3,"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":"#(1066118269 3146385405 2008244797 2413636924 657271294 3751684478)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":14.664162007173648,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":20091.512939453125,"target":false,"output":"(cube (pow (cbrt (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) 3))","end":14.685687778144274,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":14.167276286434094},{"samplers":["default"],"bits":128,"start":14.924547635326231,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":4605.60400390625,"target":false,"output":"(/ (- x (sin x)) (- x (tan x)))","end":14.924547635326231,"name":"NMSE problem 3.4.5","status":"apx-start","end-est":14.15662655387612},{"samplers":["default"],"bits":128,"start":27.25087569237322,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":6000.348876953125,"target":false,"output":"(sqrt (+ (* 1/2 (sqr x)) (+ 2 x)))","end":6.988218237958034,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":10.31649806400438},{"samplers":["default"],"bits":128,"start":14.774733773220435,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":8872.612060546875,"target":false,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))","end":7.400947927119017,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":6.3829320466427335},{"samplers":["default"],"bits":128,"start":18.84675585744305,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":3994.01513671875,"target":false,"output":"(log (/ (+ N 1) N))","end":16.44305398188308,"name":"NMSE problem 3.3.6","status":"imp-start","end-est":12.129826175086842},{"samplers":["default","default"],"bits":128,"start":18.346667933272478,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":17255.14013671875,"target":false,"output":"(- (pow (* (cos x) (cos eps)) 1) (+ (* (sin x) (sin eps)) (cos x)))","end":9.057985103665159,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":10.631626824439566},{"samplers":["default"],"bits":128,"start":13.100260971430053,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":15508.220947265625,"target":false,"output":"(/ 1 (+ (* (pow x (/ 1 3)) (pow x (/ 1 3))) (* (pow (+ 1 x) (/ 1 3)) (+ (pow (+ 1 x) (/ 1 3)) (pow x (/ 1 3))))))","end":1.7010726267116483,"name":"NMSE problem 3.3.4","status":"imp-start","end-est":1.549993760318349},{"samplers":["default"],"bits":128,"start":5.682054927171172,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":4313.14599609375,"target":false,"output":"(/ (/ (log (/ 1 E)) (+ x 1)) x)","end":0.032625,"name":"NMSE problem 3.3.1","status":"imp-start","end-est":0.01953125},{"samplers":["default","default","default"],"bits":128,"start":15.628854657875868,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":11451.88916015625,"target":false,"output":"(/ (* (/ a 1) (/ c (- (- b/2) (sqrt (- (sqr b/2) (* a c)))))) a)","end":13.686527805987637,"name":"NMSE problem 3.2.1, positive","status":"imp-start","end-est":13.761716345082968},{"samplers":["default","default","default"],"bits":128,"start":15.633226839342028,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":9486.8720703125,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.865607588295356,"name":"NMSE problem 3.2.1, negative","status":"apx-start","end-est":15.17735032239337},{"samplers":["default","default"],"bits":128,"start":23.51786446581285,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":3990.23291015625,"target":13.497283895535686,"output":"(* a x)","end":0,"name":"NMSE section 3.5","status":"gt-target","end-est":10.899834654477159},{"samplers":["default"],"bits":128,"start":18.311943068046865,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":8098.8359375,"target":18.317202881591086,"output":"(* (exp x) (/ 1 (+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)))","end":0.0738917322533502,"name":"NMSE section 3.11","status":"gt-target","end-est":3.746483891985319},{"samplers":["default"],"bits":128,"start":25.791487579257414,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":6870.839111328125,"target":0.0857477685599859,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.09238461074811691,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.24391470764687018},{"samplers":["default","default","default"],"bits":128,"start":29.656647016012688,"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":9552.257080078125,"target":6.398188138730383,"output":"(+ (/ 1 b) (/ 1 a))","end":0.054554323438491585,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":1.4916929022757697},{"samplers":["default"],"bits":128,"start":14.337652465524473,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":7030.5419921875,"target":2.480211787074836,"output":"(* (+ x (+ (* 1/1920 (pow x 5)) (* (cube x) 1/24))) (+ x (+ (* 1/1920 (pow x 5)) (* (cube x) 1/24))))","end":0.08840513906330914,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":1.2391170598500056},{"samplers":["default"],"bits":128,"start":4.0977667588149655,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":27500.93994140625,"target":0.41431727009056785,"output":"(/ (/ (/ 2 x) (+ 1 x)) (- x 1))","end":0.10314868437626205,"name":"NMSE problem 3.3.3","status":"eq-target","end-est":0.11947250976844202},{"samplers":["default","default"],"bits":128,"start":22.161128410916266,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":18747.00390625,"target":8.611999389825094,"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":0.3416377425070039,"name":"NMSE problem 3.3.2","status":"gt-target","end-est":15.10381309666894},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"17-NMSEp42positive","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":600000,"target":false,"output":"#f","end":false,"name":"NMSE p42, positive","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":15.735607370033756,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":13965.947021484375,"target":9.45678040886443,"output":"(* (/ c 2) (/ 4 (+ (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":13.89204742099544,"name":"NMSE p42, negative","status":"lt-target","end-est":14.174507780055874},{"samplers":["default"],"bits":128,"start":29.348660396646274,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":7049.85595703125,"target":0.01864624062518029,"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":0.27734375},{"samplers":["default"],"bits":128,"start":31.015940869981602,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":65914.80786132812,"target":23.0341051846687,"output":"(- (* (+ (sqrt (* N (log N))) (/ (- (/ 1 N) (+ (/ (/ 1/8 N) (pow N 4)) (/ 1/2 (cube N)))) (/ (sqrt (- N 1)) (sqrt (log (+ N 1)))))) (- (* (/ (sqrt (log (+ N 1))) (sqrt (- N 1))) (sqrt (- (sqr N) 1))) (sqrt (* N (log N))))) 1)","end":29.891116418383994,"name":"NMSE example 3.8","status":"lt-target","end-est":29.822783389833308},{"samplers":["default"],"bits":128,"start":26.208696255930064,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":6384.151123046875,"target":0.10531616562662262,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.06723364687698317,"name":"NMSE example 3.7","status":"eq-target","end-est":0.8768128288066218},{"samplers":["default"],"bits":128,"start":8.363859673712932,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":7399.5498046875,"target":0.22204248125036058,"output":"(sqr (/ (sqrt (/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))) (sqrt (* (sqrt x) (sqrt (+ x 1))))))","end":0.5893370038988984,"name":"NMSE example 3.6","status":"eq-target","end-est":0.5703952269894943},{"samplers":["default"],"bits":128,"start":6.615873892308521,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":3312.246826171875,"target":0.5430356171081161,"output":"(atan2 (- 1 0) (+ 1 (* (+ N 1) N)))","end":0.5430356171081161,"name":"NMSE example 3.5","status":"eq-target","end-est":0.6663241368172976},{"samplers":["default"],"bits":128,"start":13.79299269270881,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":6676.503173828125,"target":0.01825,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))","end":0.4245405550849433,"name":"NMSE example 3.4","status":"eq-target","end-est":0.4540652282789831},{"samplers":["default","default"],"bits":128,"start":16.61077315094662,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":16439.291015625,"target":7.61798659610945,"output":"(+ (* (sin x) (cos eps)) (- (cube (cbrt (* (cos x) (sin eps)))) (sin x)))","end":6.500105740712422,"name":"NMSE example 3.3","status":"gt-target","end-est":7.104422361267072},{"samplers":["default"],"bits":128,"start":27.309723325707335,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":6937.623046875,"target":0.6928704827498167,"output":"(- (+ (* 1/2 (sqr x)) (+ 1 x)))","end":0.026625,"name":"NMSE example 3.10","status":"eq-target","end-est":0.5963056684944615},{"samplers":["default"],"bits":128,"start":13.151102188154525,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":8141.574951171875,"target":0.17433740625180283,"output":"(/ 1 (+ (sqr (sqrt (sqrt (+ x 1)))) (sqrt x)))","end":0.26244826130930177,"name":"NMSE example 3.1","status":"eq-target","end-est":0.2326901120835176}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}