Time: 18.3m
Passed: 14/18
Tests: 29
Bits: 203/372

Date:Monday, January 7th, 2019
Commit:64b9d691e0b4408064e53bc5077c08c0d6273703 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019007
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default
TestStartResult ?Target ?∞ ↔ ℝTime
VandenBroeck and Keller, Equation (6)8.80.729.1s»
VandenBroeck and Keller, Equation (24)0.20.219.1s»
VandenBroeck and Keller, Equation (23)13.70.332.0s»
VandenBroeck and Keller, Equation (20)9.2s»
Toniolo and Linder, Equation (7)42.09.341.3s»
Toniolo and Linder, Equation (3b), real12.412.935.8s»
Toniolo and Linder, Equation (3a)1.71.741.6s»
Toniolo and Linder, Equation (2)10.31.039.5s»
Toniolo and Linder, Equation (13)33.325.51.5m»
Toniolo and Linder, Equation (10-)47.419.61.5m»
Toniolo and Linder, Equation (10+)31.78.41.8m»
Migdal et al, Equation (64)0.60.536.4s»
Migdal et al, Equation (51)0.40.527.9s»
Maksimov and Kolovsky, Equation (4)17.70.435.2s»
Maksimov and Kolovsky, Equation (32)15.41.422.1s»
Maksimov and Kolovsky, Equation (3)16.712.453.8s»
Henrywood and Agarwal, Equation (9a)13.28.741.0s»
Henrywood and Agarwal, Equation (3)18.312.59.8s»
Henrywood and Agarwal, Equation (13)58.233.61.2m»
Henrywood and Agarwal, Equation (12)25.817.459.2s»
Falkner and Boettcher, Equation (22+)1.00.032.1s»
Falkner and Boettcher, Equation (20:1,3)0.50.330.1s»
Falkner and Boettcher, Appendix B, 20.00.030.5s»
Falkner and Boettcher, Appendix B, 10.50.526.1s»
Falkner and Boettcher, Appendix A1.91.822.7s»
Bulmash initializePoisson0.00.011.7s»
Bouland and Aaronson, Equation (26)0.20.09.8s»
Bouland and Aaronson, Equation (25)0.20.025.7s»
Bouland and Aaronson, Equation (24)0.20.016.5s»

Details

simplify9.2m

Calls

5755 calls. Slowest were:

1.4s
(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* (* (/ (* M D) (* 2 d)) h) (* (/ (* M D) (* 2 d)) h)) (* (/ (* M D) (* 2 d)) h))) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
1.2s
(* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2))
983.0ms
(/ (* (* (/ (/ 1 PI) t) (/ (/ 1 PI) t)) (/ (/ 1 PI) t)) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))
969.0ms
(/ (* (* (/ 1 (tan B)) (/ 1 (tan B))) (/ 1 (tan B))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
968.0ms
(* (* (/ 1 2) (pow (* (/ M 2) (/ D d)) 2)) (/ h l))

sample4.6m

Algorithm
56×intervals

prune2.3m

series46.8s

Calls

493 calls. Slowest were:

1.6s
(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 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 (pow (/ l Om) 2)) (- U U*)))))
921.0ms
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))

regimes18.3s

Accuracy

Total 45.5b remaining (26.8%)

8.8b28.3%Toniolo and Linder, Equation (13)
6.8b55.3%Henrywood and Agarwal, Equation (12)
6.7b16.9%Toniolo and Linder, Equation (10-)
6.2b73.9%Toniolo and Linder, Equation (7)
5.6b52.2%Henrywood and Agarwal, Equation (3)

bsearch11.4s

rewrite5.2s

Algorithm
103×rewrite-expression-head
Calls

493 calls. Slowest were:

403.0ms
(/ x (tan B))
300.0ms
(- (+ (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)
154.0ms
(* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
153.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
147.0ms
(* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (pow (pow (cos (* 1/2 K)) 2) 1/9) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

localize3.1s

end1.0ms