Time: 23.7m
Passed: 13/18
Tests: 29
Bits: 183/372

Date:Saturday, January 5th, 2019
Commit:cbbf2e4d26d0dd0d3b2bd20efd80f14af4cf0cf1 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019005
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)8.60.731.3s»
VandenBroeck and Keller, Equation (24)0.20.218.2s»
VandenBroeck and Keller, Equation (23)13.60.334.9s»
VandenBroeck and Keller, Equation (20)11.0s»
Toniolo and Linder, Equation (7)42.58.839.9s»
Toniolo and Linder, Equation (3b), real12.913.136.3s»
Toniolo and Linder, Equation (3a)1.61.633.0s»
Toniolo and Linder, Equation (2)10.310.347.8s»
Toniolo and Linder, Equation (13)33.129.51.4m»
Toniolo and Linder, Equation (10-)46.818.71.6m»
Toniolo and Linder, Equation (10+)31.614.81.8m»
Migdal et al, Equation (64)0.50.558.3s»
Migdal et al, Equation (51)0.40.41.0m»
Maksimov and Kolovsky, Equation (4)16.90.525.7s»
Maksimov and Kolovsky, Equation (32)15.11.318.2s»
Maksimov and Kolovsky, Equation (3)16.917.045.0s»
Henrywood and Agarwal, Equation (9a)13.48.629.8s»
Henrywood and Agarwal, Equation (3)18.911.710.8s»
Henrywood and Agarwal, Equation (13)58.133.81.3m»
Henrywood and Agarwal, Equation (12)25.616.01.0m»
Falkner and Boettcher, Equation (22+)1.00.057.8s»
Falkner and Boettcher, Equation (20:1,3)0.50.131.4s»
Falkner and Boettcher, Appendix B, 20.00.026.9s»
Falkner and Boettcher, Appendix B, 10.60.653.8s»
Falkner and Boettcher, Appendix A2.00.236.9s»
Bulmash initializePoisson0.00.011.8s»
Bouland and Aaronson, Equation (26)0.20.019.4s»
Bouland and Aaronson, Equation (25)0.20.026.1s»
Bouland and Aaronson, Equation (24)0.20.03.8m»

Details

simplify13.7m

Calls

8208 calls. Slowest were:

1.5s
(sqrt (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))))
1.4s
(/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))
1.2s
(cbrt (- (* 1 1) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
1.1s
(/ (* (* (* c0 (* d d)) (* c0 (* d d))) (* c0 (* d d))) (* (* (* (* w h) (* D D)) (* (* w h) (* D D))) (* (* w h) (* D D))))
1.0s
(sqrt (* (cbrt (- 1 (/ (* (pow (/ (* M D) (* 2 d)) 2) h) l))) (cbrt (- 1 (/ (* (pow (/ (* M D) (* 2 d)) 2) h) l)))))

sample4.6m

Algorithm
56×intervals

prune3.1m

series44.3s

Calls

504 calls. Slowest were:

1.4s
(sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* (cbrt (* (* n (pow (/ l Om) 2)) (- U U*))) (cbrt (* (* n (pow (/ l Om) 2)) (- U U*)))) (cbrt (* (* n (pow (/ l Om) 2)) (- U U*))))))))
1.3s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
1.3s
(sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*))))))
1.2s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
874.0ms
(sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))

regimes18.5s

Accuracy

Median 0% (54.4b remaining)

11.9b6%Toniolo and Linder, Equation (13)
6.8b8.3%Toniolo and Linder, Equation (10+)
6.4b57.3%Henrywood and Agarwal, Equation (12)
5.9b76.1%Toniolo and Linder, Equation (7)
5.7b11.5%Toniolo and Linder, Equation (10-)

bsearch15.1s

rewrite4.8s

Algorithm
105×rewrite-expression-head
Calls

504 calls. Slowest were:

373.0ms
(sqrt (* (* 2 n) (* U (- (- t (* 2 (/ l (/ Om l)))) (* (* (cbrt (* (* n (pow (/ l Om) 2)) (- U U*))) (cbrt (* (* n (pow (/ l Om) 2)) (- U U*)))) (cbrt (* (* n (pow (/ l Om) 2)) (- U U*))))))))
186.0ms
(- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))
159.0ms
(/ (- (* (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))) (* (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))) (- (+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))))
130.0ms
(* (* (* (/ (* t t) l) (* (/ t l) (sin k))) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))
121.0ms
(* (* (* (/ t (/ l t)) (* (/ t l) (sin k))) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))

localize3.2s

end1.0ms