Time: 28.8m
Passed: 14/19
Tests: 29
Bits: 195/372

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
VandenBroeck and Keller, Equation (6)8.87.240.1s»
VandenBroeck and Keller, Equation (24)0.20.227.0s»
VandenBroeck and Keller, Equation (23)13.713.034.7s»
VandenBroeck and Keller, Equation (20)9.5s»
Toniolo and Linder, Equation (7)42.09.537.1s»
Toniolo and Linder, Equation (3b), real12.48.734.2s»
Toniolo and Linder, Equation (3a)1.71.740.7s»
Toniolo and Linder, Equation (2)10.31.139.4s»
Toniolo and Linder, Equation (13)33.325.51.6m»
Toniolo and Linder, Equation (10-)47.418.91.5m»
Toniolo and Linder, Equation (10+)31.77.81.6m»
Migdal et al, Equation (64)0.60.538.9s»
Migdal et al, Equation (51)0.40.527.9s»
Maksimov and Kolovsky, Equation (4)17.70.435.9s»
Maksimov and Kolovsky, Equation (32)15.41.41.4m»
Maksimov and Kolovsky, Equation (3)16.77.725.8s»
Henrywood and Agarwal, Equation (9a)13.28.732.0s»
Henrywood and Agarwal, Equation (3)18.312.510.4s»
Henrywood and Agarwal, Equation (13)58.233.650.7s»
Henrywood and Agarwal, Equation (12)25.815.81.0m»
Falkner and Boettcher, Equation (22+)1.00.01.1m»
Falkner and Boettcher, Equation (20:1,3)10.0m»
Falkner and Boettcher, Appendix B, 20.00.034.2s»
Falkner and Boettcher, Appendix B, 10.50.519.1s»
Falkner and Boettcher, Appendix A1.91.825.6s»
Bulmash initializePoisson0.00.014.7s»
Bouland and Aaronson, Equation (26)0.20.010.9s»
Bouland and Aaronson, Equation (25)0.20.021.6s»
Bouland and Aaronson, Equation (24)0.20.016.9s»

Details

simplify10.1m

Calls

6640 calls. Slowest were:

1.4s
(* (* (* (pow t 3) (sin k)) (sin k)) (- (+ 1 (pow (/ k t) 2)) 1))
1.3s
(* (* l l) (- (+ 1 (pow (/ k t) 2)) 1))
1.2s
(* (* l l) (- (+ 1 (pow (/ k t) 2)) 1))
1.1s
(+ (* (* c0 (* d d)) (sqrt (+ (* (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D))))) (+ (* (* M M) (* M M)) (* (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))))) (* (* (* w h) (* D D)) (sqrt (- (pow (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) 3) (pow (* M M) 3)))))
1.0s
(cbrt (- (+ 1 (pow (/ k t) 2)) 1))

sample4.5m

Algorithm
55×intervals

prune2.6m

series49.1s

Calls

484 calls. Slowest were:

1.4s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
1.2s
(sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* (* n (/ l Om)) (/ l Om)) (- U U*))))))
1.2s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))
1.2s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
869.0ms
(/ (* (cos th) (fma a1 a1 (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))

regimes17.2s

Accuracy

Total 48.4b remaining (27.4%)

8.6b28.9%Toniolo and Linder, Equation (13)
6.8b16.6%Toniolo and Linder, Equation (10-)
5.7b75.5%Toniolo and Linder, Equation (7)
5.6b52.2%Henrywood and Agarwal, Equation (3)
5.5b64.7%Henrywood and Agarwal, Equation (12)

bsearch16.7s

rewrite4.2s

Algorithm
103×rewrite-expression-head
Calls

484 calls. Slowest were:

134.0ms
(* (* (* (/ (* t t) l) (* (/ t l) (sin k))) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))
133.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
129.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
118.0ms
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
78.0ms
(* (* (* (tan k) (/ t l)) (* (/ t l) t)) (* (sin k) (fma (/ k t) (/ k t) 2)))

localize2.9s

end1.0ms