{"bit_width":64,"date":1469277134,"note":"hamming","iterations":2,"flags":["rules:numerics","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","precision:double"],"seed":"#(1065798049 1883600560 3605051291 3538956307 2647170081 378541646)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":60.631293996720224,"link":"0-NMSEproblem346","pinf":0,"ninf":0,"vars":["x","n"],"input":"(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))","time":16384.52294921875,"target":false,"output":"(fma (/ (log1p (/ 1 x)) n) (fma (/ (log1p (/ 1 x)) n) 1/2 1) (- 1 (pow x (/ 1 n))))","end":40.0700879929179,"name":"NMSE problem 3.4.6","status":"imp-start","end-est":19.653093984679796},{"samplers":["default"],"bits":128,"start":31.27871047312312,"link":"1-NMSEproblem345","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- x (sin x)) (- x (tan x)))","time":16480.783935546875,"target":false,"output":"(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))","end":31.24818444512315,"name":"NMSE problem 3.4.5","status":"apx-start","end-est":29.008023264518645},{"samplers":["default"],"bits":128,"start":39.8113182361379,"link":"2-NMSEproblem344","pinf":0,"ninf":0,"vars":["x"],"input":"(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))","time":8632.5419921875,"target":false,"output":"(sqrt (/ (expm1 (* x 2)) (expm1 x)))","end":0.0249011747628215,"name":"NMSE problem 3.4.4","status":"imp-start","end-est":0.23880090176904142},{"samplers":["default"],"bits":128,"start":31.088178925438502,"link":"3-NMSEproblem341","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sqr x))","time":45546.7958984375,"target":false,"output":"(* (/ 1 x) (/ (/ (sqr (sin x)) (+ 1 (cos x))) x))","end":15.475672267162338,"name":"NMSE problem 3.4.1","status":"imp-start","end-est":13.842586702540764},{"samplers":["default"],"bits":128,"start":41.046546035035576,"link":"4-NMSEproblem336","pinf":0,"ninf":0,"vars":["N"],"input":"(- (log (+ N 1)) (log N))","time":3111.68701171875,"target":false,"output":"(log1p (/ 1 N))","end":0.009698120312590146,"name":"NMSE problem 3.3.6","status":"imp-start","end-est":0.0078125},{"samplers":["default","default"],"bits":128,"start":39.11383020191391,"link":"5-NMSEproblem335","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (cos (+ x eps)) (cos x))","time":21026.30517578125,"target":false,"output":"(- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x))","end":24.101397758583328,"name":"NMSE problem 3.3.5","status":"imp-start","end-est":23.953670228445723},{"samplers":["default"],"bits":128,"start":30.44152486239282,"link":"6-NMSEproblem334","pinf":0,"ninf":0,"vars":["x"],"input":"(- (pow (+ x 1) (/ 1 3)) (pow x (/ 1 3)))","time":21698.933837890625,"target":false,"output":"(/ (- (cube (exp (/ (log1p x) 3))) (cube (pow x (/ 1 3)))) (fma (cbrt x) (exp (/ (log1p x) 3)) (fma (exp (/ (log1p x) 3)) (exp (/ (log1p x) 3)) (* (pow x (/ 1 3)) (pow x (/ 1 3))))))","end":30.376793040805573,"name":"NMSE problem 3.3.4","status":"apx-start","end-est":30.810221338830598},{"samplers":["default"],"bits":128,"start":14.332708809668228,"link":"7-NMSEproblem331","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (+ x 1)) (/ 1 x))","time":2662.114990234375,"target":false,"output":"(/ (- (- x x) 1) (fma x x x))","end":0.4097794605432759,"name":"NMSE problem 3.3.1","status":"imp-start","end-est":0.2409128140506912},{"samplers":["default","default","default"],"bits":128,"start":33.13038119364185,"link":"8-NMSEproblem321positive","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":11976.06591796875,"target":false,"output":"(cube (cbrt (/ c (- (- b/2) (sqrt (- (* b/2 b/2) (* c a)))))))","end":29.858082293608792,"name":"NMSE problem 3.2.1, positive","status":"imp-start","end-est":29.102421542479846},{"samplers":["default","default","default"],"bits":128,"start":33.258942033379434,"link":"9-NMSEproblem321negative","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":8178.168212890625,"target":false,"output":"(- (/ (- b/2) a) (/ (sqrt (- (sqr b/2) (* a c))) a))","end":33.554526971725664,"name":"NMSE problem 3.2.1, negative","status":"apx-start","end-est":33.300086971280706},{"samplers":["default","default"],"bits":128,"start":29.24626761012463,"link":"10-NMSEsection35","pinf":0,"ninf":0,"vars":["a","x"],"input":"(- (exp (* a x)) 1)","time":3748.20703125,"target":0.13725882490185848,"output":"(expm1 (* x a))","end":0.015879076902480735,"name":"NMSE section 3.5","status":"eq-target","end-est":0.0538334363809557},{"samplers":["default"],"bits":128,"start":40.30745828247775,"link":"11-NMSEsection311","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (exp x) (- (exp x) 1))","time":6389.682861328125,"target":39.969713973019545,"output":"(/ (exp x) (expm1 x))","end":0.34825378544593566,"name":"NMSE section 3.11","status":"gt-target","end-est":0.4960992521016504},{"samplers":["default"],"bits":128,"start":59.141000486048,"link":"12-NMSEproblem343","pinf":0,"ninf":0,"vars":["eps"],"input":"(log (/ (- 1 eps) (+ 1 eps)))","time":6193.516845703125,"target":0.055562047128987116,"output":"(- (+ (* 2 eps) (+ (* 2/5 (pow eps 5)) (* 2/3 (pow eps 3)))))","end":0.06875076900452798,"name":"NMSE problem 3.4.3","status":"eq-target","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":58.48635177000273,"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":44143.876953125,"target":15.056457146597177,"output":"(* (/ (expm1 (* eps (+ b a))) (expm1 (* a eps))) (/ 1 (/ (expm1 (* b eps)) eps)))","end":27.801947399358646,"name":"NMSE problem 3.4.2","status":"lt-target","end-est":28.31061131642367},{"samplers":["default"],"bits":128,"start":33.942790793571746,"link":"14-NMSEproblem337","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (exp x) 2) (exp (- x)))","time":4591.76806640625,"target":8.523251038728166,"output":"(fma (pow x 6) 1/360 (fma (pow x 4) 1/12 (sqr x)))","end":0.15124971476772842,"name":"NMSE problem 3.3.7","status":"gt-target","end-est":0.7069108619216116},{"samplers":["default"],"bits":128,"start":9.669444562753775,"link":"15-NMSEproblem333","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","time":6036.60009765625,"target":0.2805405989206414,"output":"(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))","end":9.669444562753775,"name":"NMSE problem 3.3.3","status":"eq-start","end-est":11.064164036577768},{"samplers":["default","default"],"bits":128,"start":36.714066263016875,"link":"16-NMSEproblem332","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (tan (+ x eps)) (tan x))","time":40684.7451171875,"target":15.037959641610708,"output":"(/ (+ (- (* (cotan x) (sin (+ x eps))) (* (cos x) (cos eps))) (* (sin x) (sin eps))) (* (cos (+ x eps)) (cotan x)))","end":35.33983025613134,"name":"NMSE problem 3.3.2","status":"lt-target","end-est":37.741827750378995},{"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":33.28991915663021,"link":"18-NMSEp42negative","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":12843.2041015625,"target":20.522525372095096,"output":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","end":33.28991915663021,"name":"NMSE p42, negative","status":"eq-start","end-est":33.27156115628079},{"samplers":["default"],"bits":128,"start":59.80437578038299,"link":"19-NMSEexample39","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 x) (cotan x))","time":7477.885986328125,"target":0.08306230265840951,"output":"(fma (cube x) 1/45 (fma 2/945 (pow x 5) (* x 1/3)))","end":0.334,"name":"NMSE example 3.9","status":"eq-target","end-est":0.3671875},{"samplers":["default"],"bits":128,"start":63.326720126393056,"link":"20-NMSEexample38","pinf":0,"ninf":0,"vars":["N"],"input":"(- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)","time":23059.994873046875,"target":60.78133837053804,"output":"(- (fma N (log1p N) (log1p N)) (fma (/ 1 N) (- (log N)) 1))","end":0.256875,"name":"NMSE example 3.8","status":"gt-target","end-est":60.759735077074694},{"samplers":["default"],"bits":128,"start":58.47462291864994,"link":"21-NMSEexample37","pinf":0,"ninf":0,"vars":["x"],"input":"(- (exp x) 1)","time":5507.588134765625,"target":0.5062035737776707,"output":"(expm1 x)","end":0.00025,"name":"NMSE example 3.7","status":"eq-target","end-est":0},{"samplers":["default"],"bits":128,"start":19.86387385593144,"link":"22-NMSEexample36","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))","time":5748.527099609375,"target":0.6714802559082547,"output":"(/ 1 (fma (sqrt (+ 1 x)) x (fma (sqrt x) x (sqrt x))))","end":0.6692915340327137,"name":"NMSE example 3.6","status":"eq-target","end-est":0.26953125},{"samplers":["default"],"bits":128,"start":14.77572157456573,"link":"23-NMSEexample35","pinf":0,"ninf":0,"vars":["N"],"input":"(- (atan (+ N 1)) (atan N))","time":3036.9619140625,"target":0.407977580855866,"output":"(atan2 (- 1 0) (fma N (+ 1 N) 1))","end":0.4056544605432758,"name":"NMSE example 3.5","status":"eq-target","end-est":0.2448190640506912},{"samplers":["default"],"bits":128,"start":34.54511579532892,"link":"24-NMSEexample34","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- 1 (cos x)) (sin x))","time":51091.705078125,"target":0.00025,"output":"(expm1 (log1p (/ (sin x) (+ (cos x) 1))))","end":0.3442761151121715,"name":"NMSE example 3.4","status":"eq-target","end-est":8.483638167515808},{"samplers":["default","default"],"bits":128,"start":36.80671575265781,"link":"25-NMSEexample33","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(- (sin (+ x eps)) (sin x))","time":25354.051025390625,"target":15.028194968827023,"output":"(log1p (expm1 (fma (sin eps) (cos x) (- (* (cos eps) (sin x)) (sin x)))))","end":0.47664321652456204,"name":"NMSE example 3.3","status":"gt-target","end-est":0.4076576277831177},{"samplers":["default"],"bits":128,"start":60.773598739854464,"link":"26-NMSEexample310","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (log (- 1 x)) (log (+ 1 x)))","time":11616.4248046875,"target":0.3396069185745089,"output":"(log (exp (/ (log1p (- x)) (log1p x))))","end":0.0243374062518029,"name":"NMSE example 3.10","status":"eq-target","end-est":0.017910009768442016},{"samplers":["default"],"bits":128,"start":30.534274308150863,"link":"27-NMSEexample31","pinf":0,"ninf":0,"vars":["x"],"input":"(- (sqrt (+ x 1)) (sqrt x))","time":4081.9599609375,"target":0.1673304515658353,"output":"(/ 1 (+ (sqrt (+ x 1)) (sqrt x)))","end":0.1673304515658353,"name":"NMSE example 3.1","status":"eq-target","end-est":0.14453125}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}