{"bit_width":32,"date":1468417212,"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":"#(1065639804 936413623 2655205282 2235462195 918319548 1069991914)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":14.460174457546326,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":13964.401123046875,"target":false,"output":"(cube (log (exp (cbrt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))))","end":14.601461659118591,"name":"NMSE problem 3.4.6","status":"apx-start","end-est":15.252827314309936},{"samplers":["default"],"bits":128,"start":15.031244906047556,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":3484.10888671875,"target":false,"output":"(/ (- x (sin x)) (- x (tan x)))","end":15.031244906047556,"name":"NMSE problem 3.4.5","status":"apx-start","end-est":13.652977301067347},{"samplers":["default"],"bits":128,"start":27.087931416925546,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":4698.924072265625,"target":false,"output":"(sqrt (+ (* 1/2 (sqr x)) (+ 2 x)))","end":6.851073552985056,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":10.768710304884731},{"samplers":["default"],"bits":128,"start":14.826754229893092,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":6098.5869140625,"target":false,"output":"(sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))","end":0.33022495427914633,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":0.3047273702825238},{"samplers":["default"],"bits":128,"start":12.671487014097078,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":4782.093017578125,"target":false,"output":"(exp (log (log (/ (+ N 1) N))))","end":12.770010317507026,"name":"NMSE problem 3.3.6","status":"apx-start","end-est":12.255623236908708},{"samplers":["default","default"],"bits":128,"start":18.210234375934647,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":16542.8310546875,"target":false,"output":"(/ (/ (- (sqr (cube (* (cos eps) (cos x)))) (sqr (cube (+ (cos x) (* (sin x) (sin eps)))))) (+ (cube (* (cos eps) (cos x))) (cube (+ (cos x) (* (sin x) (sin eps)))))) (+ (sqr (* (cos x) (cos eps))) (+ (sqr (+ (* (sin x) (sin eps)) (cos x))) (* (* (cos x) (cos eps)) (+ (* (sin x) (sin eps)) (cos x))))))","end":9.120656765955541,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":8.966358346370551},{"samplers":["default"],"bits":128,"start":18.64681414186869,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":5882.357177734375,"target":false,"output":"(/ 1 (+ (* (cbrt x) (+ (pow (+ x 1) (/ 1 3)) (cbrt x))) (sqr (pow (+ x 1) (/ 1 3)))))","end":0.8564444173010549,"name":"NMSE problem 3.3.4","status":"imp-start","end-est":1.29834631917252},{"samplers":["default"],"bits":128,"start":5.639885558829129,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":2947.72802734375,"target":false,"output":"(/ (/ (- x (+ 1 x)) (+ x 1)) x)","end":4.759852770729847,"name":"NMSE problem 3.3.1","status":"apx-start","end-est":4.199886201498372},{"samplers":["default","default","default"],"bits":128,"start":15.4784724035792,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":6722.22314453125,"target":false,"output":"(/ (/ (* a c) (- (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.682789340802696,"name":"NMSE problem 3.2.1, positive","status":"apx-start","end-est":14.726468491502521},{"samplers":["default","default","default"],"bits":128,"start":15.519055885484933,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":6810.48193359375,"target":false,"output":"(/ (/ (* a c) (+ (- b/2) (sqrt (- (sqr b/2) (* a c))))) a)","end":14.604160828597639,"name":"NMSE problem 3.2.1, negative","status":"apx-start","end-est":14.967958187028549},{"samplers":["default","default"],"bits":128,"start":12.380454177285642,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":4780.6669921875,"target":0.1508600346460273,"output":"(cube (cube (cbrt (cbrt (- (exp (* a x)) 1)))))","end":12.412632395431965,"name":"NMSE section 3.5","status":"eq-start","end-est":10.806610560870554},{"samplers":["default"],"bits":128,"start":18.32199259000556,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":8562.362060546875,"target":18.313221095679847,"output":"(cube (/ (cbrt (exp x)) (cbrt (+ (* (sqr x) (+ (* x 1/6) 1/2)) x))))","end":0.5524191039506494,"name":"NMSE section 3.11","status":"gt-target","end-est":3.1141597798470344},{"samplers":["default"],"bits":128,"start":25.736015005862733,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":5545.26708984375,"target":0.08926096985757483,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.09456284954498469,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0.5146223773508201},{"samplers":["default","default","default"],"bits":128,"start":29.65761275710261,"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":7061.089111328125,"target":6.577676844480951,"output":"(+ (/ 1 b) (/ 1 a))","end":0.058091520928207914,"name":"NMSE problem 3.4.2","status":"gt-target","end-est":1.3523808376623907},{"samplers":["default"],"bits":128,"start":14.46055608256325,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":7215.364013671875,"target":2.7095205963538964,"output":"(sqr (+ (* 1/1920 (pow x 5)) (+ (* 1/24 (pow x 3)) x)))","end":0.09895474805433295,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":1.2234811398687557},{"samplers":["default"],"bits":128,"start":3.975217399098519,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":10600.239013671875,"target":0.4202794361771566,"output":"(cbrt (cube (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))))","end":13.438381030298276,"name":"NMSE problem 3.3.3","status":"lt-start","end-est":11.965241365684612},{"samplers":["default","default"],"bits":128,"start":16.682601249473198,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":4601.5029296875,"target":7.514313039070466,"output":"(- (/ 1 (cotan (+ x eps))) (tan x))","end":16.782158724784864,"name":"NMSE problem 3.3.2","status":"eq-start","end-est":16.325309069614676},{"samplers":["default","default","default"],"bits":128,"start":15.570898998277872,"link":"17-NMSEp42positive","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":13305.6669921875,"target":9.293114883400413,"output":"(* (/ c 2) (/ 4 (cube (cbrt (- (- b) (sqrt (- (sqr b) (* a (* c 4)))))))))","end":14.079095447966525,"name":"NMSE p42, positive","status":"lt-target","end-est":14.117874620935247},{"samplers":["default","default","default"],"bits":128,"start":15.623710214667508,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":12554.2080078125,"target":9.311041288643422,"output":"(* (/ c 2) (/ 4 (+ (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":13.611612966079488,"name":"NMSE p42, negative","status":"lt-target","end-est":13.319701576275278},{"samplers":["default"],"bits":128,"start":29.301549382783474,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":5967.217041015625,"target":0.0205,"output":"(+ (* x 1/3) (+ (* 2/945 (pow x 5)) (* (cube x) 1/45)))","end":0.329125,"name":"NMSE example 3.9","status":"eq-target","end-est":0.31640625},{"samplers":["default"],"bits":128,"start":31.021575423508832,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":42936.114990234375,"target":0.000875,"output":"(- (* (+ (/ (* (exp (log (sqrt (- (sqr N) 1)))) (sqrt (log (+ N 1)))) (sqrt (- N 1))) (sqrt (* N (log N)))) (- (/ (* (sqrt (- (sqr N) 1)) (sqrt (log (+ N 1)))) (sqrt (- N 1))) (sqrt (* N (log N))))) 1)","end":29.88197856744507,"name":"NMSE example 3.8","status":"lt-target","end-est":29.84080689928261},{"samplers":["default"],"bits":128,"start":26.25184876149605,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":4189.385986328125,"target":0.09941992500144235,"output":"(+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x)","end":0.068660526564393,"name":"NMSE example 3.7","status":"eq-target","end-est":1.1696884620688732},{"samplers":["default"],"bits":128,"start":8.368720517735357,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":11191.235107421875,"target":0.21608496250072112,"output":"(/ 1 (/ (+ (/ x (sqrt x)) (/ x (sqrt (+ 1 x)))) (/ 1 (+ 1 x))))","end":0.26653552656439294,"name":"NMSE example 3.6","status":"eq-target","end-est":0.217128759768442},{"samplers":["default"],"bits":128,"start":6.5643844353113705,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":2715.16015625,"target":0.513798763286981,"output":"(atan2 (- 1 0) (+ 1 (* (+ N 1) N)))","end":0.513798763286981,"name":"NMSE example 3.5","status":"eq-target","end-est":0.6784826492307603},{"samplers":["default"],"bits":128,"start":13.880469633258743,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":7134.662109375,"target":0.0185,"output":"(/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))","end":0.41267176419754675,"name":"NMSE example 3.4","status":"eq-target","end-est":0.4895619157156371},{"samplers":["default","default"],"bits":128,"start":16.577514527173598,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":8385.537109375,"target":7.469596876638486,"output":"(* 1 (- (* (cos x) (sin eps)) (- (sin x) (* (cos eps) (sin x)))))","end":0.4451668981890647,"name":"NMSE example 3.3","status":"gt-target","end-est":0.43340721123431925},{"samplers":["default"],"bits":128,"start":27.16207270259536,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":5094.84619140625,"target":0.690710886166539,"output":"(- (+ (* 1/2 (sqr x)) (+ 1 x)))","end":0.026875,"name":"NMSE example 3.10","status":"eq-target","end-est":0.9888379477262051},{"samplers":["default"],"bits":128,"start":13.011507050842821,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":3854.721923828125,"target":0.16970056406367184,"output":"(/ 1 (+ (sqr (sqrt (sqrt (+ x 1)))) (sqrt x)))","end":0.268624703513661,"name":"NMSE example 3.1","status":"eq-target","end-est":0.19524885231507558}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}