Time: 1.0hr
Passed: 25/30
Tests: 39
Bits: 727/810

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
b parameter of renormalized beta distribution0.10.138.2s»
a parameter of renormalized beta distribution0.20.225.8s»
Trigonometry B0.30.422.3s»
Trigonometry A0.10.121.1s»
Spherical law of cosines16.63.756.3s»
Quadratic roots, wide range52.20.142.1s»
Quadratic roots, narrow range28.70.444.6s»
Quadratic roots, medium range44.00.218.1s»
Quadratic roots, full range34.210.318.1s»
Midpoint on a great circle007.8m»
Logistic function from Lakshay Garg29.10.025.4s»
Hyperbolic tangent58.10.020.7s»
Hyperbolic sine57.90.610.9s»
Hyperbolic secant0.00.06.5s»
Hyperbolic arc-cosine31.70.239.0s»
Hyperbolic arc-(co)tangent58.50.011.8s»
Hyperbolic arc-(co)secant0.00.016.5s»
Equirectangular approximation to distance on a great circle37.00.144.4s»
Eccentricity of an ellipse28.97.45.5s»
Distance on a great circle7.6m»
Destination given bearing on a great circle10.0m»
Cubic critical, wide range52.70.228.6s»
Cubic critical, narrow range28.50.354.5s»
Cubic critical, medium range43.80.21.1m»
Cubic critical33.714.618.3s»
Bearing on a great circle8.8m»
Asymptote C29.40.23.3m»
Asymptote B0.00.020.5s»
Asymptote A14.20.429.6s»
2-ancestry mixing, zero discriminant15.10.911.1s»
2-ancestry mixing, positive discriminant35.331.454.1s»
2-ancestry mixing, negative discriminant1.01.011.0s»
Quotient of sum of exps0.80.80.07.8s»
Quotient of products11.14.510.76.3s»
Logistic regression 20.50.40.123.4s»
Hyperbolic arcsine52.70.145.013.4s»
Harley's example10.0m»
Exp of sum of logs5.7004.2s»
(- (/ x0 (- 1 x1)) x0)8.44.60.54.6s»

Details

sample12.3m

Algorithm
sampled
70×intervals

simplify11.6m

Calls

6431 calls. Slowest were:

2.5s
(/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))))
2.1s
(/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))))
1.7s
(/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))))
1.7s
(/ (/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* 3 a) (* 3 a)) (* 3 a))) (* (* (- (- b) (sqrt (fma (* a -3) c (* b b)))) (- (- b) (sqrt (fma (* a -3) c (* b b))))) (- (- b) (sqrt (fma (* a -3) c (* b b))))))
1.6s
(/ (* (* (* 3 (* c a)) (* 3 (* c a))) (* 3 (* c a))) (* (* (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))) (* (* 3 a) (- (- b) (sqrt (- (* b b) (* (* 3 a) c)))))))

prune2.0m

series34.6s

Calls

569 calls. Slowest were:

594.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
575.0ms
(fma (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))) (- (sin phi1)) (cos delta))
558.0ms
(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
479.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
453.0ms
(/ 2 (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (exp (- x))))

regimes9.6s

Accuracy

Total 19.0b remaining (22.8%)

4.8b83.3%Quadratic roots, full range
4.5b56.6%Quotient of products
3.7b83.8%Cubic critical
1.4b58.4%2-ancestry mixing, positive discriminant
0.8b0%2-ancestry mixing, zero discriminant

rewrite3.2s

Algorithm
131×rewrite-expression-head
Calls

569 calls. Slowest were:

86.0ms
(* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))
68.0ms
(/ (/ (- (/ (* x x) (/ (+ 1 x) (+ x -1))) (* (* (+ 1 x) (+ 1 x)) (/ (+ 1 x) (+ x -1)))) (* (+ x 1) (- x 1))) (+ (/ x (+ x 1)) (/ (+ x 1) (- x 1))))
65.0ms
(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi2)) (cos (* 1/2 phi1))) (* (sin (* 1/2 phi2)) (sin (* 1/2 phi1)))))
63.0ms
(/ (- (pow (log1p (exp x)) 3) (pow (* y x) 3)) (+ (* (log1p (exp x)) (log1p (exp x))) (+ (* (* y x) (* y x)) (* (log1p (exp x)) (* y x)))))
62.0ms
(/ (+ (pow 1 3) (pow (exp (* -2 x)) 3)) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))))

localize3.2s

bsearch2.9s

end1.0ms