{"bit_width":64,"date":1467887647,"note":"numerics","iterations":2,"flags":["rules:numerics","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","precision:double"],"seed":"#(1065543365 620684644 906956026 369308393 342036037 1300431646)","points":256,"tests":[{"samplers":["default"],"bits":128,"start":0.013625,"link":"0-arccos","pinf":0,"ninf":0,"vars":["x"],"input":"(* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))","time":5020.382080078125,"target":false,"output":"(* 2 (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))","end":0.011875,"name":"arccos","status":"ex-start","end-est":0.01171875},{"samplers":["default","default","default"],"bits":128,"start":12.526967897494929,"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":13458.341064453125,"target":false,"output":"(- (+ (/ 2 (* r r)) 3) (+ (* (* (* (- 3 (* 2 v)) (/ 0.125 (- 1 v))) (* w r)) (* w r)) 4.5))","end":0.3550494460334206,"name":"Rosa's TurbineBenchmark","status":"imp-start","end-est":0.27152255861065205},{"samplers":["default","default"],"bits":128,"start":0.49314984747393853,"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":30556.573974609375,"target":false,"output":"(+ (fma (/ 3 (fma x1 x1 1)) (- (* x1 (* 3 x1)) (fma x2 2 x1)) (+ x1 x1)) (fma (fma (/ (fma (* 3 x1) x1 (* 2 x2)) (/ (fma x1 x1 1) 2)) (/ (fma (* 3 x1) x1 (- (* 2 x2) x1)) (/ (fma x1 x1 1) x1)) (- (* (* (/ (* x1 x1) (fma x1 x1 1)) (fma (* 3 x1) x1 (- (* 2 x2) x1))) (- 4 (/ 2 (fma x1 x1 1)))) (fma (/ (fma (* 3 x1) x1 (- (* 2 x2) x1)) (/ (fma x1 x1 1) x1)) 6 (* (* x1 x1) 6)))) (fma x1 x1 1) (fma (/ (fma (* 3 x1) x1 (- (* 2 x2) x1)) (fma x1 x1 1)) (* x1 (* 3 x1)) (cube x1))))","end":0.2897853750140688,"name":"Rosa's FloatVsDoubleBenchmark","status":"ex-start","end-est":0.27152255861065216},{"samplers":["default","default","default"],"bits":128,"start":18.037123851373657,"link":"3-RosasDopplerBench","pinf":0,"ninf":0,"vars":["u","v","t1"],"input":"(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))","time":5687.348876953125,"target":false,"output":"(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))","end":1.2066133340115601,"name":"Rosa's DopplerBench","status":"imp-start","end-est":1.2258881965462654},{"samplers":["default"],"bits":128,"start":0.10677556189506887,"link":"4-RosasBenchmark","pinf":0,"ninf":0,"vars":["x"],"input":"(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))","time":3008.468017578125,"target":false,"output":"(- (* x 0.954929658551372) (* 0.12900613773279798 (pow x 3)))","end":0.08568120095729843,"name":"Rosa's Benchmark","status":"ex-start","end-est":0.046875},{"samplers":["default","default"],"bits":128,"start":0.002,"link":"5-Radioactiveexchangebetweentwosurfaces","pinf":0,"ninf":0,"vars":["x","y"],"input":"(- (pow x 4) (pow y 4))","time":3496.385009765625,"target":false,"output":"(- (pow x 4) (pow y 4))","end":0.002,"name":"Radioactive exchange between two surfaces","status":"ex-start","end-est":0},{"samplers":["default","default"],"bits":128,"start":14.920108067504888,"link":"6-NMSESection61mentionedB","pinf":0,"ninf":0,"vars":["a","b"],"input":"(* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))","time":10056.601806640625,"target":false,"output":"(* (/ PI (+ a b)) (/ 1 (* 2 (* a b))))","end":0.28153872345002967,"name":"NMSE Section 6.1 mentioned, B","status":"imp-start","end-est":0.2731437988422101},{"samplers":["default","default"],"bits":128,"start":53.393841587256986,"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":20022.40283203125,"target":false,"output":"1","end":0,"name":"NMSE Section 6.1 mentioned, A","status":"imp-start","end-est":13.765452603523725},{"samplers":["default"],"bits":128,"start":15.402568867648311,"link":"8-xx21","pinf":0,"ninf":0,"vars":["x"],"input":"(/ x (+ (sqr x) 1))","time":1291.508056640625,"target":0.09439624062518029,"output":"(/ x (+ (sqr x) 1))","end":15.402568867648311,"name":"x / (x^2 + 1)","status":"eq-start","end-est":13.989448878541564},{"samplers":["default","default","default"],"bits":128,"start":45.38088476731545,"link":"9-simplefmatest","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(- (fma x y z) (+ 1 (+ (* x y) z)))","time":1411.614990234375,"target":0,"output":"(- 0 1)","end":0,"name":"simple fma test","status":"eq-target","end-est":0},{"samplers":["default"],"bits":128,"start":38.8657659632607,"link":"10-ln1x","pinf":0,"ninf":0,"vars":["x"],"input":"(log (+ 1 x))","time":2566.176025390625,"target":0.1991649318920076,"output":"(log1p x)","end":0.000375,"name":"ln(1 + x)","status":"eq-target","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":33.75373167527601,"link":"11-Thequadraticformular2","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (- (- b) (sqrt (- (sqr b) (* 4 (* a c))))) (* 2 a))","time":14502.4619140625,"target":20.819277734124455,"output":"(* (/ c 2) (/ 4 (+ (- b) (sqrt (- (sqr b) (* (* c a) 4))))))","end":29.178449382997943,"name":"The quadratic formula (r2)","status":"lt-target","end-est":30.161176281287485},{"samplers":["default","default","default"],"bits":128,"start":33.59142623756409,"link":"12-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":12711.705078125,"target":20.999629556908086,"output":"(/ (/ (* (* 4 a) c) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (* 2 a))","end":32.396205934774905,"name":"The quadratic formula (r1)","status":"lt-target","end-est":33.19426058792848},{"samplers":["default"],"bits":128,"start":40.10460403862794,"link":"13-Kahansexpquotient","pinf":0,"ninf":0,"vars":["x"],"input":"(/ (- (exp x) 1) x)","time":4240.071044921875,"target":39.25169571424801,"output":"(/ 1 (/ x (expm1 x)))","end":0.017459962500721158,"name":"Kahan's exp quotient","status":"gt-target","end-est":0.03125},{"samplers":["(uniform -14 -13)","(uniform -3 -2)","(uniform 3 3.5)","(uniform 12.5 13.5)"],"bits":128,"start":3.656382146414103,"link":"14-Expressionp6","pinf":0,"ninf":0,"vars":["a","b","c","d"],"input":"(* (+ a (+ b (+ c d))) 2)","time":5384.29296875,"target":3.8271858374159113,"output":"(* (expm1 (log1p (+ a (+ (+ b c) d)))) 2)","end":2.7657671041131087,"name":"Expression, p6","status":"gt-target","end-est":2.5634607462805934},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"15-Expressionp14","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(* a (+ (+ b c) d))","time":14474.39697265625,"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":8356.096923828125,"target":false,"output":"#f","end":false,"name":"Expression 4, p15","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":0.014625,"link":"17-Expression3p15","pinf":0,"ninf":0,"vars":["x"],"input":"(+ (* x (* x x)) (* x x))","time":4546.2919921875,"target":0.024219360937770436,"output":"(fma (sqr x) x (sqr x))","end":0.01475,"name":"Expression 3, p15","status":"eq-target","end-est":0.0234375},{"samplers":["default"],"bits":128,"start":0.000625,"link":"18-Expression2p15","pinf":0,"ninf":0,"vars":["x"],"input":"(+ x (* x x))","time":3564.330078125,"target":0.0185,"output":"(fma x x x)","end":0,"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":0.40667970000576964,"link":"19-Expression1p15","pinf":0,"ninf":0,"vars":["a","b","c","d","e"],"input":"(+ (+ (+ (+ e d) c) b) a)","time":5919.54296875,"target":0.195875,"output":"(+ (+ (+ e d) c) (+ b a))","end":0.3412830828133114,"name":"Expression 1, p15","status":"eq-target","end-est":0.30859375},{"samplers":["default","default"],"bits":128,"start":0.0065,"link":"20-Differenceofsquares","pinf":0,"ninf":0,"vars":["a","b"],"input":"(- (sqr a) (sqr b))","time":2435.947998046875,"target":0.001375,"output":"(* (+ a b) (- a b))","end":0.001375,"name":"Difference of squares","status":"eq-target","end-est":0},{"samplers":["default","default"],"bits":128,"start":62.01307886888606,"link":"21-CompoundInterest","pinf":0,"ninf":0,"vars":["i","n"],"input":"(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))","time":5316.419921875,"target":61.58334443267802,"output":"(* (* (fma i (* 1/2 i) i) (/ 100 i)) n)","end":11.46059308951392,"name":"Compound Interest","status":"gt-target","end-est":30.01714043203667},{"samplers":["default","default","default","default"],"bits":128,"start":25.48609120450844,"link":"22-Complexdivisionrealpart","pinf":0,"ninf":0,"vars":["a","b","c","d"],"input":"(/ (+ (* a c) (* b d)) (+ (sqr c) (sqr d)))","time":5338.411865234375,"target":0.5020314794356292,"output":"(* (+ (* a c) (* b d)) (/ 1 (+ (sqr c) (sqr d))))","end":25.687501092459225,"name":"Complex division, real part","status":"eq-start","end-est":24.711191601839907},{"samplers":["default","default","default","default"],"bits":128,"start":25.38528906565887,"link":"23-Complexdivisionimagpart","pinf":0,"ninf":0,"vars":["a","b","c","d"],"input":"(/ (- (* b c) (* a d)) (+ (sqr c) (sqr d)))","time":4765.387939453125,"target":0.4840639494684911,"output":"(- (* (/ b 1) (/ c (+ (sqr c) (sqr d)))) (/ (* a d) (+ (sqr c) (sqr d))))","end":24.317160654692657,"name":"Complex division, imag part","status":"lt-target","end-est":22.834783703390173},{"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":16993.10107421875,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}