Time: 21.8m
Passed: 16/18
Tests: 29
Bits: 205/373

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
VandenBroeck and Keller, Equation (6)8.40.634.7s»
VandenBroeck and Keller, Equation (24)0.20.227.4s»
VandenBroeck and Keller, Equation (23)13.70.337.1s»
VandenBroeck and Keller, Equation (20)11.0s»
Toniolo and Linder, Equation (7)42.510.236.2s»
Toniolo and Linder, Equation (3b), real12.38.939.9s»
Toniolo and Linder, Equation (3a)1.71.433.6s»
Toniolo and Linder, Equation (2)10.86.01.1m»
Toniolo and Linder, Equation (13)33.428.71.5m»
Toniolo and Linder, Equation (10-)47.017.11.6m»
Toniolo and Linder, Equation (10+)32.112.01.5m»
Migdal et al, Equation (64)0.50.545.7s»
Migdal et al, Equation (51)0.40.431.6s»
Maksimov and Kolovsky, Equation (4)17.80.431.7s»
Maksimov and Kolovsky, Equation (32)15.11.516.9s»
Maksimov and Kolovsky, Equation (3)17.07.828.2s»
Henrywood and Agarwal, Equation (9a)13.78.239.7s»
Henrywood and Agarwal, Equation (3)18.412.19.8s»
Henrywood and Agarwal, Equation (13)58.234.459.7s»
Henrywood and Agarwal, Equation (12)25.416.41.3m»
Falkner and Boettcher, Equation (22+)1.00.01.2m»
Falkner and Boettcher, Equation (20:1,3)0.50.151.6s»
Falkner and Boettcher, Appendix B, 20.00.036.0s»
Falkner and Boettcher, Appendix B, 10.50.61.3m»
Falkner and Boettcher, Appendix A2.00.224.3s»
Bulmash initializePoisson0.00.01.3m»
Bouland and Aaronson, Equation (26)0.20.014.9s»
Bouland and Aaronson, Equation (25)0.20.024.5s»
Bouland and Aaronson, Equation (24)0.20.019.4s»

Details

simplify12.0m

Calls

7025 calls. Slowest were:

1.3s
(* (* l l) (- (+ 1 (pow (/ k t) 2)) 1))
1.3s
(* (* (* (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
(* (* (* w h) (* D D)) (sqrt (+ (* (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))))) (+ (* (* M M) (* M M)) (* (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))))
1.1s
(/ (* (* (* (pow F 2) (expm1 (log1p (cos (* PI l))))) (* (pow F 2) (expm1 (log1p (cos (* PI l)))))) (* (pow F 2) (expm1 (log1p (cos (* PI l)))))) (* (* (sin (* PI l)) (sin (* PI l))) (sin (* PI l))))

sample4.8m

Algorithm
56×intervals

prune2.7m

series48.1s

Calls

498 calls. Slowest were:

1.3s
(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*)))))
992.0ms
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
868.0ms
(/ (* (* (cos th) (sqrt (fma a1 a1 (* a2 a2)))) (hypot a1 a2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))
767.0ms
(/ 2 (pow (* (* (* (tan k) (/ t l)) (* (/ t l) t)) (* (sin k) (fma (/ k t) (/ k t) 2))) 1))

regimes18.5s

Accuracy

Median 0% (54.1b remaining)

11.2b9.2%Toniolo and Linder, Equation (13)
7.3b53%Henrywood and Agarwal, Equation (12)
6.8b-13.3%Henrywood and Agarwal, Equation (13)
6.1b74%Toniolo and Linder, Equation (7)
5.2b33.6%Toniolo and Linder, Equation (10-)

bsearch16.0s

rewrite5.8s

Algorithm
107×rewrite-expression-head
Calls

498 calls. Slowest were:

1.5s
(/ (+ (pow 1 3) (pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)) (+ (* 1 1) (- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))))
438.0ms
(/ x (tan B))
226.0ms
(- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
100.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
89.0ms
(* (* (* (sqrt (pow (/ d h) (/ 1 2))) (sqrt (pow (/ d h) (/ 1 2)))) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) h) l)))

localize3.2s

end1.0ms