{"bit_width":32,"date":1468675116,"note":"hamming","iterations":3,"flags":["rules:arithmetic","rules:polynomials","rules:fractions","rules:exponents","rules:trigonometry","setup:simplify","reduce:regimes","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":14.796417314909135,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":22403.430908203125,"target":false,"output":"(if (<= n -338.16934f0) (- (/ 1 (* n x)) (+ (/ (log x) (* (sqr n) x)) (* 1/2 (/ 1 (* n (sqr x)))))) (cube (pow (cbrt (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) 3)))","end":9.647060721796194,"name":"NMSE problem 3.4.6","status":"imp-start","end-est":13.542729000200449},{"samplers":["default"],"bits":128,"start":14.569077457015345,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":6022.56591796875,"target":false,"output":"(if (<= x -0.01639637f0) (/ (- x (sin x)) (- x (tan x))) (if (<= x 4.281642f0) (- (* 9/40 (sqr x)) (+ (* 27/2800 (pow x 4)) 1/2)) (/ (- x (sin x)) (- x (tan x)))))","end":0.08551793743612326,"name":"NMSE problem 3.4.5","status":"imp-start","end-est":0.1549315682263262},{"samplers":["default"],"bits":128,"start":18.620835140656627,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":15935.149169921875,"target":false,"output":"(if (<= x -0.01639637f0) (sqrt (/ (* (+ (sqrt (exp (* 2 x))) 1) (- (sqrt (exp (* 2 x))) 1)) (- (exp x) 1))) (+ (+ (/ (* x 1/2) (sqrt 2)) (sqrt 2)) (exp (+ (- (cube (cbrt (log (* x x)))) (log (sqrt 2))) (log (- 1/4 (/ 1/8 2)))))))","end":0.761693268460443,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":0.9244371512689745},{"samplers":["default"],"bits":128,"start":14.377034524128526,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":6423.705810546875,"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":19.188083713205,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":5512.303955078125,"target":false,"output":"(if (<= N 55.888527f0) (log (sqr (sqrt (/ (+ N 1) N)))) (+ (/ 1 N) (- (/ 1/3 (cube N)) (/ 1/2 (* N N)))))","end":8.488394858380857,"name":"NMSE problem 3.3.6","status":"imp-start","end-est":0.17492149908245294},{"samplers":["default","default"],"bits":128,"start":18.102805017162417,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":14311.635986328125,"target":false,"output":"(if (<= eps -2.474651f-15) (/ (/ (- (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)))) (if (<= eps 2.1195103f-10) (- (* (* eps 1/6) (cube x)) (* eps (+ (* eps 1/2) x))) (/ (/ (- (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":3.7415682787567937,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":7.520271126014489},{"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":8978.955078125,"target":false,"output":"(exp (log (- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))))","end":13.06512635254783,"name":"NMSE problem 3.3.4","status":"apx-start","end-est":12.874117360055504},{"samplers":["default"],"bits":128,"start":5.954478919247316,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":4129.27001953125,"target":false,"output":"(/ (/ (log (/ 1 E)) (+ x 1)) x)","end":0.0305,"name":"NMSE problem 3.3.1","status":"imp-start","end-est":0.01171875},{"samplers":["default","default","default"],"bits":128,"start":17.03385931951042,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":13326.596923828125,"target":false,"output":"(if (<= b/2 -1.6844219f+10) (- (/ 1/2 (/ b/2 c)) (* (/ b/2 a) 2)) (if (<= b/2 0.0037315278f0) (/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a) (/ c (+ (/ (* a 1/2) (/ b/2 c)) (- (- b/2) b/2)))))","end":3.7246623274797526,"name":"NMSE problem 3.2.1, positive","status":"imp-start","end-est":4.236438852069131},{"samplers":["default","default","default"],"bits":128,"start":17.645728638338042,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":13990.9169921875,"target":false,"output":"(if (<= b/2 -1.4598629f-09) (/ c (- (* (* a 1/2) (/ c b/2)) (- b/2 (- b/2)))) (if (<= b/2 2.2299319f+17) (/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a) (- (/ 1/2 (/ b/2 c)) (* (/ b/2 a) 2))))","end":3.3473481818102173,"name":"NMSE problem 3.2.1, negative","status":"imp-start","end-est":3.813134548723662},{"samplers":["default","default"],"bits":128,"start":14.62654654934145,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":6642.615966796875,"target":4.039694886048116,"output":"(if (<= (* a x) -0.0028058796f0) (- (exp (* a x)) 1) (+ (* (* 1/2 (* x a)) (* x a)) (* x a)))","end":0.13633757740886668,"name":"NMSE section 3.5","status":"gt-target","end-est":0.459846521112827},{"samplers":["default"],"bits":128,"start":20.55562342148791,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":8237.323974609375,"target":13.20049082938151,"output":"(if (<= x 0.03150794f0) (/ (exp x) (cube (cbrt (+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)))) (/ 1 (- 1 (exp (- x)))))","end":0.36863944610109256,"name":"NMSE section 3.11","status":"gt-target","end-est":0.9153512743754584},{"samplers":["default"],"bits":128,"start":25.929363501558328,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":5920.8779296875,"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":8979.60595703125,"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":5475.284912109375,"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":10358.864990234375,"target":0.3569175259561663,"output":"(if (<= x -45.253582f0) (+ (+ (/ 2 (pow x 7)) (/ 2 (cube x))) (/ 2 (pow x 5))) (if (<= x 293.25146f0) (/ (+ (* 1 (* x (- x 1))) (* (+ x 1) (+ (* (- 2) (- x 1)) (* x 1)))) (* (+ x 1) (* x (- x 1)))) (+ (+ (/ 2 (pow x 7)) (/ 2 (cube x))) (/ 2 (pow x 5)))))","end":0.3892750075935167,"name":"NMSE problem 3.3.3","status":"eq-target","end-est":0.35296876574061375},{"samplers":["default","default"],"bits":128,"start":16.732776715631736,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":9989.781982421875,"target":11.969152773673448,"output":"(if (<= eps -8.898282f-13) (- (tan (+ x eps)) (cube (cbrt (tan x)))) (if (<= eps 7.510862f-12) (+ (+ eps (* (* x x) (cube eps))) (* (pow eps 4) (cube x))) (/ (- (cos x) (* (cotan (+ eps x)) (sin x))) (* (cotan (+ x eps)) (cos x)))))","end":12.688708225007472,"name":"NMSE problem 3.3.2","status":"eq-target","end-est":15.27991959577847},{"samplers":["default","default","default"],"bits":128,"start":16.203501728387113,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":15850.348876953125,"target":10.08428867462757,"output":"(if (<= b -1.6844219f+10) (- (/ c b) (/ b a)) (if (<= b 3.426723f-06) (* (/ 1 2) (/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) a)) (if (<= b 2.2299319f+17) (/ (/ (* c (* 4 a)) (- (- b) (sqrt (- (sqr b) (* 4 (* a c)))))) (* 2 a)) (* (/ c b) (/ -2 2)))))","end":3.7699440855682167,"name":"NMSE p42, positive","status":"gt-target","end-est":3.444549926647703},{"samplers":["default","default","default"],"bits":128,"start":15.96621602225329,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":20123.632080078125,"target":9.636570393518086,"output":"(if (<= b -2.3005939f+20) (/ (/ (* 4 c) (- (/ (* 2 a) (/ b c)) (- b (- b)))) 2) (if (<= b 1.0894418f-30) (* (/ c 2) (/ 4 (+ (- b) (sqrt (- (sqr b) (* (* c a) 4)))))) (if (<= b 2.2299319f+17) (* (/ 1 2) (/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) a)) (- (/ c b) (/ b a)))))","end":3.039176137006297,"name":"NMSE p42, negative","status":"gt-target","end-est":2.6337512610140412},{"samplers":["default"],"bits":128,"start":29.31607894503014,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":6560.222900390625,"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":38476.212890625,"target":0.001375,"output":"(- (- (* (cube (cbrt (* (- (sqr N) 1) (log (+ N 1))))) (/ 1 (- N 1))) (* N (log N))) 1)","end":29.896937457248313,"name":"NMSE example 3.8","status":"lt-target","end-est":29.826570128822937},{"samplers":["default"],"bits":128,"start":25.13246757628012,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":8694.367919921875,"target":0.9333330535251664,"output":"(if (<= x 0.03150794f0) (+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x) (- (exp x) 1))","end":0.029680282121525386,"name":"NMSE example 3.7","status":"eq-target","end-est":0.08137384023130587},{"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":9662.06494140625,"target":0.21656372187554088,"output":"(/ (/ 1 (+ 1 x)) (+ (/ x (sqrt x)) (/ x (sqrt (+ 1 x)))))","end":0.2546723687525239,"name":"NMSE example 3.6","status":"eq-target","end-est":0.22265625},{"samplers":["default"],"bits":128,"start":6.889623952194282,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":3341.030029296875,"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":5667.25,"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":9572.781982421875,"target":7.661008860832532,"output":"(* 1 (- (* (cos x) (sin eps)) (- (sin x) (* (cos eps) (sin x)))))","end":0.4404001307666521,"name":"NMSE example 3.3","status":"gt-target","end-est":0.5150847158108465},{"samplers":["default"],"bits":128,"start":27.23044049713889,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":7580.80810546875,"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":3155.98681640625,"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"}