Time: 14.3m
Passed: 14/19
Tests: 30
Bits: 184/347

Date:Monday, January 7th, 2019
Commit:64b9d691e0b4408064e53bc5077c08c0d6273703 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019007
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics
TestStartResult ?Target ?∞ ↔ ℝTime
x00772.0ms»
subtraction fraction0.00.022.7s»
sqrt times0.50.45.5s»
r*sin(b)/cos(a+b), B15.30.423.4s»
r*sin(b)/cos(a+b), A15.30.322.3s»
neg log0.00.06.6s»
jeff quadratic root 220.313.723.3s»
jeff quadratic root 120.013.720.4s»
fabs fraction 200923.0ms»
fabs fraction 11.70.115.3s»
exp neg sub0.00.01.6s»
cos(2*x)/(cos^2(x)*sin^2(x))27.15.918.8s»
VandenBroeck and Keller, Equation (24)0.20.225.1s»
Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.20.20.342.5s»
Numeric.SpecFunctions:logGamma from math-functions-0.1.5.228.628.61.2m»
Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.23.52.150.7s»
Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.21.91.945.6s»
NMSE problem 3.2.133.76.522.1s»
Linear.V4:$cdot from linear-1.19.1.30.00.717.2s»
Linear.Matrix:det44 from linear-1.19.1.326.026.82.8m»
Linear.Matrix:det33 from linear-1.19.1.311.811.829.7s»
Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.39.45.524.5s»
Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.114.40.45.1s»
Fuzzer 00231.331.314.7s»
Fuzzer 0010.20.25.2s»
Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.15.42.354.6s»
Bouland and Aaronson, Equation (25)0.20.034.6s»
(+ x (- (tan (+ y z)) (tan a)))13.50.31.1m»
sqrt sqr32.3003.9s»
The quadratic formula (r1)34.210.321.515.9s»

Details

simplify6.4m

Calls

5114 calls. Slowest were:

956.0ms
(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
920.0ms
(* (* (* (* a a) (* a a)) (* a a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
837.0ms
(/ (* (* (/ x z) (/ x z)) (/ x z)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y)))
812.0ms
(- (+ (* 0.2222222222222222 (* (* (pow a 2) (* (pow (log t) 3) (log z))) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 10)) 1/3))) (+ (* 0.2222222222222222 (* (* (pow a 2) (* (log z) (pow (log t) 3))) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 10)) 1/3))) (+ (* 1/3 (* (* (pow a 2) (pow (log t) 2)) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 4)) 1/3))) (+ (pow (pow (- (log z) (* 0.5 (log t))) 2) 1/3) (* 2/3 (* (* a (* (log z) (log t))) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 4)) 1/3))))))) (+ (* 0.1111111111111111 (* (* (pow a 2) (pow (log t) 4)) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 10)) 1/3))) (+ (* 0.3333333333333333 (* (* a (pow (log t) 2)) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 4)) 1/3))) (* 4/9 (* (* (pow a 2) (* (pow (log z) 2) (pow (log t) 2))) (pow (/ 1 (pow (- (log z) (* 0.5 (log t))) 10)) 1/3))))))
798.0ms
(* (- (* (* a b) (* a b)) (* (* c i) (* c i))) (- (* (* x y) (* x y)) (* (* z t) (* z t))))

sample3.4m

Algorithm
60×intervals

prune2.4m

series45.7s

Calls

421 calls. Slowest were:

3.1s
(- (fma y (* (* z 18.0) (* x t)) (fma (* a 4.0) (- t) (* b c))) (fma j (* k 27.0) (* (* x 4.0) i)))
3.1s
(- (fma (* (* y 18.0) (* z x)) t (fma (* 4.0 a) (- t) (* c b))) (fma (* k 27.0) j (* i (* x 4.0))))
3.0s
(+ (fma (* z x) (* 18.0 (* t y)) (fma (* a 4.0) (- t) (* b c))) (- (* (- x) (* 4.0 i)) (* (* j 27.0) k)))
2.9s
(- (fma t (* (* y z) (* x 18.0)) (fma (* a 4.0) (- t) (* c b))) (fma j (* k 27.0) (* (* x 4.0) i)))
1.0s
(/ (- (* (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y))))) (* (tan a) (tan a))) (+ (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a)))

regimes24.1s

Accuracy

Total 32.3b remaining (19.7%)

8.6b-9.7%Linear.Matrix:det44 from linear-1.19.1.3
4.8b83.3%The quadratic formula (r1)
3.5b8.2%Linear.Matrix:det33 from linear-1.19.1.3
2.5b0%cos(2*x)/(cos^2(x)*sin^2(x))
2.3b63.7%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1

bsearch8.7s

localize3.9s

rewrite3.0s

Algorithm
100×rewrite-expression-head
Calls

421 calls. Slowest were:

425.0ms
(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
89.0ms
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
74.0ms
(/ (* (cbrt (fma y (fma (* y y) (fma y x z) (fma y 27464.7644705 230661.510616)) t)) (cbrt (fma y (fma (* y y) (fma y x z) (fma y 27464.7644705 230661.510616)) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
66.0ms
(/ (- (* (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y))))) (* (tan a) (tan a))) (+ (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a)))
57.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))

end1.0ms