{"bit_width":32,"date":1471016344,"note":"numerics","iterations":2,"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":"#(1066149172 3462179920 3756494053 4279790727 1233554805 3521179209)","points":256,"tests":[{"samplers":["default"],"bits":128,"start":0.054125,"link":"0-arccos","pinf":0,"ninf":0,"vars":["x"],"input":"(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))","time":81564.2041015625,"target":false,"output":"(* 2 (atan (sqrt (/ (- (pow 1 3) (pow x 3)) (* (+ 1 x) (+ (+ 1 x) (* x x)))))))","end":0.065125,"name":"arccos","status":"ex-start","end-est":0.0625},{"samplers":["default","default","default"],"bits":128,"start":5.928289922331584,"link":"1-RosasTurbineBenchmark","pinf":0,"ninf":0,"vars":["v","w","r"],"input":"(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 4.5)","time":17847.4189453125,"target":false,"output":"(- (+ (- 3 4.5) (/ 2 (* r r))) (sqr (* (* (sqrt (* (/ 0.125 (- 1 v)) (- 3 (* 2 v)))) w) r)))","end":0.4301341571076897,"name":"Rosa's TurbineBenchmark","status":"imp-start","end-est":0.33515344383407},{"samplers":["default","default"],"bits":128,"start":0.5562157835197323,"link":"2-RosasFloatVsDoubleBenchmark","pinf":0,"ninf":0,"vars":["x1","x2"],"input":"(+ x1 (+ (+ (+ (+ (* (+ (* (* (* 2 x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) (- (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)) 3)) (* (* x1 x1) (- (* 4 (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1))) 6))) (+ (* x1 x1) 1)) (* (* (* 3 x1) x1) (/ (- (+ (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))) (* (* x1 x1) x1)) x1) (* 3 (/ (- (- (* (* 3 x1) x1) (* 2 x2)) x1) (+ (* x1 x1) 1)))))","time":42672.074951171875,"target":false,"output":"(+ (+ (+ (+ x1 x1) (+ (cube x1) (/ (pow (* (* x1 (* x1 3)) (+ (* x1 (* x1 3)) (- (* x2 2) x1))) 1) (+ (sqr x1) 1)))) (* (+ (* (- (/ (+ (* x1 (* x1 3)) (- (* x2 2) x1)) (+ (sqr x1) 1)) 3) (/ (* (+ (* x1 (* x1 3)) (- (* x2 2) x1)) (* 2 x1)) (+ (sqr x1) 1))) (* (- (/ (+ (* x1 (* x1 3)) (- (* x2 2) x1)) (/ (+ (sqr x1) 1) 4)) 6) (sqr x1))) (+ (sqr x1) 1))) (* (/ 3 (+ (sqr x1) 1)) (- (* x1 (* x1 3)) (+ x1 (* x2 2)))))","end":0.5199237150791798,"name":"Rosa's FloatVsDoubleBenchmark","status":"ex-start","end-est":0.4669177856001464},{"samplers":["default","default","default"],"bits":128,"start":8.548058222379655,"link":"3-RosasDopplerBench","pinf":0,"ninf":0,"vars":["u","v","t1"],"input":"(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))","time":9009.52685546875,"target":false,"output":"(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))","end":0.49728064759033325,"name":"Rosa's DopplerBench","status":"imp-start","end-est":0.419406043248678},{"samplers":["default"],"bits":128,"start":0.3657349808724816,"link":"4-RosasBenchmark","pinf":0,"ninf":0,"vars":["x"],"input":"(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))","time":4358.97705078125,"target":false,"output":"(- (* x 0.954929658551372) (* (* 0.12900613773279798 x) (* x x)))","end":0.23968393310373812,"name":"Rosa's Benchmark","status":"ex-start","end-est":0.20607377930532605},{"samplers":["default","default"],"bits":128,"start":0.11513912365120053,"link":"5-Radioactiveexchangebetweentwosurfaces","pinf":0,"ninf":0,"vars":["x","y"],"input":"(- (pow x 4) (pow y 4))","time":6531.864990234375,"target":false,"output":"(- (pow x 4) (sqr (sqr (sqrt (sqrt (pow y 4))))))","end":0.05912212644251067,"name":"Radioactive exchange between two surfaces","status":"ex-start","end-est":0.0390625},{"samplers":["default","default"],"bits":128,"start":7.371145281382924,"link":"6-NMSESection61mentionedB","pinf":0,"ninf":0,"vars":["a","b"],"input":"(* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))","time":10539.087158203125,"target":false,"output":"(/ (/ PI (+ a b)) (* 2 (* a b)))","end":0.2677152265701618,"name":"NMSE Section 6.1 mentioned, B","status":"imp-start","end-est":0.23894501953688402},{"samplers":["default","default"],"bits":128,"start":22.895214939473675,"link":"7-NMSESection61mentionedA","pinf":0,"ninf":0,"vars":["x","eps"],"input":"(/ (- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x))))) 2)","time":24657.822021484375,"target":false,"output":"(/ (+ (* (cube x) 2/3) (- 2 (* x x))) 2)","end":0.21140269736131098,"name":"NMSE Section 6.1 mentioned, A","status":"imp-start","end-est":7.985334171621407},{"samplers":["default"],"bits":128,"start":6.988534210668103,"link":"8-xx21","pinf":0,"ninf":0,"vars":["x"],"input":"(/ x (+ (sqr x) 1))","time":2889.5078125,"target":0.12980015089556163,"output":"(/ x (+ (sqr x) 1))","end":6.988534210668103,"name":"x / (x^2 + 1)","status":"eq-start","end-est":6.305710843201668},{"samplers":["default","default","default"],"bits":128,"start":19.808568723185168,"link":"9-simplefmatest","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(- (fma x y z) (+ 1 (+ (* x y) z)))","time":5642.98095703125,"target":0,"output":"(- (- (fma x y z) 1) (+ (* x y) z))","end":15.810425377835172,"name":"simple fma test","status":"lt-target","end-est":14.724113721122405},{"samplers":["default"],"bits":128,"start":26.517881520323876,"link":"10-ln1x","pinf":0,"ninf":0,"vars":["x"],"input":"(log (+ 1 x))","time":3792.789794921875,"target":8.129128785534602,"output":"(+ (* (- (* 1/3 x) 1/2) (sqr x)) x)","end":0.12166541406655655,"name":"ln(1 + x)","status":"gt-target","end-est":8.918696952673676},{"samplers":["default","default","default"],"bits":128,"start":16.074915086938695,"link":"11-Thequadraticformular2","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":11377.60009765625,"target":9.41288534149792,"output":"(* (/ c 2) (/ 4 (+ (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":13.891698914124333,"name":"The quadratic formula (r2)","status":"lt-target","end-est":14.116539842299016},{"samplers":["default","default","default"],"bits":128,"start":15.948430714242907,"link":"12-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":13845.77197265625,"target":9.563879751586855,"output":"(* (/ 1 2) (/ (* 4 c) (- (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":14.191041351736127,"name":"The quadratic formula (r1)","status":"lt-target","end-est":12.737277198129291},{"samplers":["default"],"bits":128,"start":27.24260461971045,"link":"13-Kahansexpquotient","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- (exp x) 1) x)","time":3738.700927734375,"target":25.951212920612747,"output":"(/ (+ (* (+ 1/2 (* 1/6 x)) (sqr x)) x) x)","end":3.2631817294464254,"name":"Kahan's exp quotient","status":"gt-target","end-est":8.934149859058014},{"samplers":["(uniform -14 -13)","(uniform -3 -2)","(uniform 3 3.5)","(uniform 12.5 13.5)"],"bits":128,"start":4.08053908901028,"link":"14-Expressionp6","pinf":0,"ninf":0,"vars":["a","b","c","d"],"input":"(* (+ a (+ b (+ c d))) 2)","time":11294.39404296875,"target":4.219699479543704,"output":"(* (+ a (+ (cbrt (cube (+ b c))) d)) 2)","end":3.3869518293594023,"name":"Expression, p6","status":"eq-target","end-est":3.417232640159464},{"samplers":["default","default","default","default"],"bits":384,"start":false,"link":"15-Expressionp14","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(* a (+ (+ b c) d))","time":14462.861083984375,"target":false,"output":"#f","end":false,"name":"Expression, p14","status":"crash","end-est":false},{"samplers":["default","default"],"bits":384,"start":false,"link":"16-Expression4p15","pinf":false,"ninf":false,"vars":["a","b"],"input":"(* (+ a b) (+ a b))","time":8045.468017578125,"target":false,"output":"#f","end":false,"name":"Expression 4, p15","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":0.063,"link":"17-Expression3p15","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (* x (* x x)) (* x x))","time":5948.987060546875,"target":0.09017932343849161,"output":"(+ (sqr x) (pow x 3))","end":0.06075,"name":"Expression 3, p15","status":"eq-target","end-est":0.03125},{"samplers":["default"],"bits":128,"start":0.005375,"link":"18-Expression2p15","pinf":0,"ninf":0,"vars":["x"],"input":"(+ x (* x x))","time":3563.580078125,"target":0.0755,"output":"(+ x (sqr x))","end":0.005375,"name":"Expression 2, p15","status":"eq-target","end-est":0},{"samplers":["(uniform 1 2)","(uniform 2 4)","(uniform 4 8)","(uniform 8 16)","(uniform 16 32)"],"bits":128,"start":0.42106654219390055,"link":"19-Expression1p15","pinf":0,"ninf":0,"vars":["a","b","c","d","e"],"input":"(+ (+ (+ (+ e d) c) b) a)","time":5799.05908203125,"target":0.273875,"output":"(+ (+ (+ (+ e d) c) b) a)","end":0.42106654219390055,"name":"Expression 1, p15","status":"eq-target","end-est":0.4482612793053261},{"samplers":["default","default"],"bits":128,"start":0.03324386655643692,"link":"20-Differenceofsquares","pinf":0,"ninf":0,"vars":["a","b"],"input":"(- (sqr a) (sqr b))","time":2562.217041015625,"target":0.00825,"output":"(* (+ a b) (- a b))","end":0.00825,"name":"Difference of squares","status":"eq-target","end-est":0.0078125},{"samplers":["default","default"],"bits":128,"start":29.65494403424979,"link":"21-CompoundInterest","pinf":0,"ninf":0,"vars":["i","n"],"input":"(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))","time":36014.16796875,"target":28.572295406776885,"output":"(+ (* (* (* i n) 100) (+ 1/2 (* 1/6 i))) (* n 100))","end":0.2132719937597353,"name":"Compound Interest","status":"gt-target","end-est":15.891764635212018},{"samplers":["default","default","default","default"],"bits":128,"start":12.398840391498398,"link":"22-Complexdivisionrealpart","pinf":0,"ninf":0,"vars":["a","b","c","d"],"input":"(/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))","time":6301.619873046875,"target":0.2277721544653914,"output":"(/ (+ (* a c) (* b d)) (+ (sqr (fabs c)) (sqr (fabs d))))","end":7.92991753504214,"name":"Complex division, real part","status":"lt-target","end-est":6.4096747805958385},{"samplers":["default","default","default","default"],"bits":128,"start":12.401391324053284,"link":"23-Complexdivisionimagpart","pinf":0,"ninf":0,"vars":["a","b","c","d"],"input":"(/ (- (* b c) (* a d)) (+ (sqr c) (sqr d)))","time":6696.997802734375,"target":0.24699220330766522,"output":"(/ (- (* b c) (* a d)) (sqr (sqrt (+ (sqr c) (sqr d)))))","end":12.373937188355209,"name":"Complex division, imag part","status":"eq-start","end-est":11.844346189411594},{"samplers":["default","default","default"],"bits":384,"start":false,"link":"24-Areaofatriangle","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sqrt (* (* (* (/ (+ (+ a b) c) 2) (- (/ (+ (+ a b) c) 2) a)) (- (/ (+ (+ a b) c) 2) b)) (- (/ (+ (+ a b) c) 2) c)))","time":18313.80908203125,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}