Time: 59.1m
Passed: 25/30
Tests: 39
Bits: 720/807

Date:Friday, January 4th, 2019
Commit:6e112a484d90e98be51833808b7f61a69f6c0d2f on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019004
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 distribution0.10.130.2s»
a parameter of renormalized beta distribution0.20.212.8s»
Trigonometry B0.30.420.3s»
Trigonometry A0.10.119.8s»
Spherical law of cosines16.64.146.3s»
Quadratic roots, wide range52.30.11.2m»
Quadratic roots, narrow range28.40.317.9s»
Quadratic roots, medium range43.70.217.3s»
Quadratic roots, full range33.516.42.0m»
Midpoint on a great circle007.9m»
Logistic function from Lakshay Garg28.70.08.2s»
Hyperbolic tangent58.00.016.2s»
Hyperbolic sine57.90.724.8s»
Hyperbolic secant0.00.06.8s»
Hyperbolic arc-cosine30.90.435.4s»
Hyperbolic arc-(co)tangent58.50.014.8s»
Hyperbolic arc-(co)secant0.00.016.6s»
Equirectangular approximation to distance on a great circle37.00.11.2m»
Eccentricity of an ellipse29.27.67.8s»
Distance on a great circle7.5m»
Destination given bearing on a great circle10.0m»
Cubic critical, wide range52.70.319.6s»
Cubic critical, narrow range28.40.518.6s»
Cubic critical, medium range44.00.227.8s»
Cubic critical33.311.019.3s»
Bearing on a great circle8.6m»
Asymptote C29.40.11.0m»
Asymptote B0.00.019.2s»
Asymptote A14.60.132.1s»
2-ancestry mixing, zero discriminant15.00.910.8s»
2-ancestry mixing, positive discriminant34.730.850.9s»
2-ancestry mixing, negative discriminant1.01.013.5s»
Quotient of sum of exps0.70.70.012.0s»
Quotient of products11.15.711.26.4s»
Logistic regression 20.50.50.122.7s»
Hyperbolic arcsine52.50.144.613.3s»
Harley's example10.0m»
Exp of sum of logs5.7004.0s»
(- (/ x0 (- 1 x1)) x0)8.44.60.54.6s»

Details

sample12.4m

Algorithm
sampled
70×intervals

simplify9.5m

Calls

6508 calls. Slowest were:

2.2s
(+ (fma (- 1 m) (/ m v) -1) (fma (/ m v) (* m (+ -1 m)) m))
1.4s
(* (/ 1 (- (* x x) (* 1 1))) (+ x 1))
1.2s
(/ (* (cbrt (/ (* 4 (* c a)) (* 2 a))) (cbrt (/ (* 4 (* c a)) (* 2 a)))) (+ (sqrt (- b)) (sqrt (sqrt (fma (* a -4) c (* b b))))))
1.1s
(/ (/ (* (* (* 4 (* c a)) (* 4 (* c a))) (* 4 (* c a))) (* (* (* 2 a) (* 2 a)) (* 2 a))) (* (* (- (- b) (sqrt (fma (* a -4) c (* b b)))) (- (- b) (sqrt (fma (* a -4) c (* b b))))) (- (- b) (sqrt (fma (* a -4) c (* b b))))))
1.1s
(/ (sqrt (/ (* 4 (* c a)) (* 2 a))) (sqrt (- (- b) (sqrt (fma (* a -4) c (* b b))))))

prune2.1m

series1.1m

Calls

572 calls. Slowest were:

18.3s
(* (hypot (+ (* (- lambda1 lambda2) (* (cos (* phi1 1/2)) (cos (* phi2 1/2)))) (* (* (sin (* phi2 1/2)) (sin (* phi1 1/2))) (- lambda2 lambda1))) (- phi1 phi2)) R)
17.8s
(* (hypot (* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- phi1 phi2)) R)
683.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (fma c_p (fma 1/2 t (log 1/2)) 1) (pow (- (+ (* 1/48 (pow t 3)) 1/2) (* 1/4 t)) c_n)))
623.0ms
(/ (* (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)))
586.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (fma c_p (fma 1/2 t (log 1/2)) 1) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

bsearch36.0s

regimes10.6s

Accuracy

Median 0% (21.0b remaining)

5.6b49.5%Quotient of products
5.1b81.5%Cubic critical
3.9b81.3%Quadratic roots, full range
1.7b54.2%2-ancestry mixing, positive discriminant
0.8b0%2-ancestry mixing, zero discriminant

localize3.1s

rewrite2.4s

Algorithm
131×rewrite-expression-head
Calls

572 calls. Slowest were:

45.0ms
(* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))
39.0ms
(- (/ -1/4 (* x x)) (- (/ 3/32 (pow x 4)) (+ (log x) (log 2))))
35.0ms
(* (* (sin (* phi2 1/2)) (sin (* phi1 1/2))) (- lambda2 lambda1))
35.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
35.0ms
(* (* (* (cbrt (/ 1 (- (* x x) (* 1 1)))) (cbrt (/ 1 (- (* x x) (* 1 1))))) (cbrt (/ 1 (- (* x x) (* 1 1))))) (+ x 1))

end1.0ms