Time: 18.8m
Passed: 14/18
Tests: 29
Bits: 183/373

Date:Tuesday, January 8th, 2019
Commit:e215f5b157f6d8a7791aabf68743eb21857594b0 on develop
Hostname:warfa
Points:256
Fuel:4
Seed:2019008
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)8.76.840.4s»
VandenBroeck and Keller, Equation (24)0.20.728.0s»
VandenBroeck and Keller, Equation (23)13.613.632.3s»
VandenBroeck and Keller, Equation (20)9.2s»
Toniolo and Linder, Equation (7)42.49.737.2s»
Toniolo and Linder, Equation (3b), real12.48.732.9s»
Toniolo and Linder, Equation (3a)1.70.843.8s»
Toniolo and Linder, Equation (2)10.010.11.4m»
Toniolo and Linder, Equation (13)32.928.01.3m»
Toniolo and Linder, Equation (10-)47.717.51.5m»
Toniolo and Linder, Equation (10+)32.212.11.4m»
Migdal et al, Equation (64)0.50.543.3s»
Migdal et al, Equation (51)0.40.531.9s»
Maksimov and Kolovsky, Equation (4)17.00.525.1s»
Maksimov and Kolovsky, Equation (32)15.21.519.8s»
Maksimov and Kolovsky, Equation (3)17.37.621.9s»
Henrywood and Agarwal, Equation (9a)13.48.127.4s»
Henrywood and Agarwal, Equation (3)18.812.19.6s»
Henrywood and Agarwal, Equation (13)58.533.551.4s»
Henrywood and Agarwal, Equation (12)25.517.455.2s»
Falkner and Boettcher, Equation (22+)1.00.037.1s»
Falkner and Boettcher, Equation (20:1,3)0.40.11.3m»
Falkner and Boettcher, Appendix B, 20.00.040.8s»
Falkner and Boettcher, Appendix B, 10.60.624.6s»
Falkner and Boettcher, Appendix A2.10.221.5s»
Bulmash initializePoisson0.00.022.5s»
Bouland and Aaronson, Equation (26)0.20.010.7s»
Bouland and Aaronson, Equation (25)0.20.026.5s»
Bouland and Aaronson, Equation (24)0.20.015.6s»

Details

simplify9.8m

Calls

6469 calls. Slowest were:

1.3s
(* (* (* (pow t 3) (sin k)) (sin k)) (- (+ 1 (pow (/ k t) 2)) 1))
1.3s
(- (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (+ (* 4/3 (/ 1 (* (pow v 8) PI))) (* 4/3 (/ 1 (* (pow v 12) PI))))))
1.2s
(* (* l l) (- (+ 1 (pow (/ k t) 2)) 1))
1.2s
(- (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (+ (* 4/3 (/ 1 (* (pow v 8) PI))) (* 4/3 (/ 1 (* (pow v 12) PI))))))
1.1s
(/ (* (/ (* (* (* (sin k) t) (* (sin k) t)) (* (sin k) t)) (* (* (/ l t) (/ l t)) (/ l t))) (* (* (* (* (sin k) t) (* (sin k) t)) (* (sin k) t)) (* (* (fma (/ k t) (/ k t) 2) (fma (/ k t) (/ k t) 2)) (fma (/ k t) (/ k t) 2)))) (* (* (* l (cos k)) (* l (cos k))) (* l (cos k))))

sample4.4m

Algorithm
56×intervals

prune2.5m

series49.3s

Calls

499 calls. Slowest were:

1.5s
(sqrt (pow (* (* 2 (* U n)) (- t (fma (* (/ l Om) (- U U*)) (* n (/ l Om)) (* (* 2 l) (/ l Om))))) 1))
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*)))))
1.2s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
869.0ms
(/ (* (cos th) (fma a1 a1 (* a2 a2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))

regimes15.5s

Accuracy

Total 51.4b remaining (27%)

9.3b3.3%Toniolo and Linder, Equation (13)
6.7b50.1%Henrywood and Agarwal, Equation (3)
6.1b54.8%Henrywood and Agarwal, Equation (12)
5.7b75.5%Toniolo and Linder, Equation (7)
5.6b29.9%Toniolo and Linder, Equation (10-)

bsearch9.7s

rewrite3.4s

Algorithm
106×rewrite-expression-head
Calls

499 calls. Slowest were:

146.0ms
(* (* (exp (log (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))))) (sqrt (sqrt (fma -3 (* v v) 1)))) (- 1 (* v v)))
127.0ms
(* (* (* (/ (* t t) l) (* (/ t l) (sin k))) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))
86.0ms
(* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))
86.0ms
(* (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
81.0ms
(* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (+ (+ 1 (pow (/ k t) 2)) 1))

localize3.1s

end1.0ms