Date:Friday, December 13th, 2019
Commit:92b838e9 on show-bad-nightlies
Hostname:warfa with Racket 7.5
Seed:2019347
Parameters:256 points for 4 iterations
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

Details

simplify6.0m (45.1%)

series2.6m (19.3%)

Calls

445 calls:

7.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (cbrt (* (* n (pow (/ l Om) 2.0)) (- U U*))) (cbrt (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (cbrt (* (* n (pow (/ l Om) 2.0)) (- U U*)))))))
7.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ l Om)) 2.0)) (- U U*)))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.7s
(cbrt (pow (/ U (* (* 2.0 J) (cos (/ K 2.0)))) 2.0))

sample2.0m (15.1%)

Algorithm
61×intervals
Results
23.0s29857×body1280valid
21.0s253197×body80valid
13.7s160448×body80nan
12.5s8805×body2560valid
10.4s20093×body640valid
7.7s3366×body5120valid
3.4s9776×body320valid
1.9s9001×body160valid
611.0ms639×body10240exit
218.0ms628×body1280nan
215.0ms625×body640nan
125.0ms8256×pre80true
67.0ms330×body320nan
24.0ms181×body160nan

prune1.4m (10.2%)

rewrite1.0m (7.6%)

Algorithm
116×rewrite-expression-head
Calls

445 calls:

10.5s
(* (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
3.1s
(/ 2.0 (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))))
3.0s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))
2.5s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
2.0s
(/ (/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))) (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
Rules
59880×add-exp-log
41761×prod-exp
23941×pow-exp
20203×div-exp
11280×pow-to-exp
5698×times-frac
4845×*-un-lft-identity
4539×add-sqr-sqrt
3734×add-cube-cbrt
3002×add-cbrt-cube
2360×1-exp rec-exp
1924×sqrt-prod
1830×associate-*r/
1716×sqrt-div
1638×frac-times
1438×cbrt-unprod
1423×pow1
1026×unpow-prod-down
1000×associate-*l/
882×associate-*r*
766×flip-- flip3--
709×cbrt-div
703×cbrt-prod
664×associate-*l*
615×cbrt-undiv
530×add-log-exp
523×pow-prod-down
473×associate-/r*
472×flip-+ flip3-+
415×distribute-lft-out
370×associate-/l*
340×div-inv
304×pow-unpow
297×associate-/r/
280×unswap-sqr
257×sqr-pow
252×frac-add
215×distribute-lft-out--
166×tan-quot sqrt-pow1
153×*-commutative
123×distribute-rgt-in distribute-lft-in
118×difference-of-squares
114×swap-sqr
112×unpow2
92×clear-num frac-2neg
89×pow1/3
77×pow1/2
75×exp-prod
72×frac-sub
68×sub-neg
47×pow-pow
46×rem-sqrt-square
45×log-prod
40×distribute-rgt-neg-in
39×distribute-lft-neg-in pow-prod-up exp-sum
36×associate-/l/
29×sum-log
25×pow-sqr
21×+-commutative
18×div-sub
15×pow-sub
14×pow-neg
13×cube-prod neg-sub0 diff-log
12×pow-plus associate--l+
pow2
exp-diff
un-div-inv log-pow acos-asin
rem-exp-log
inv-pow neg-log distribute-neg-frac associate-+l- pow-flip associate-+r+ associate-+r- log-div
unpow3 sqrt-unprod cube-mult asin-acos neg-mul-1
cos-sum rem-square-sqrt associate--r+ rem-log-exp
cube-div sqrt-undiv associate-+l+ pow3 cos-diff mul0 rem-cbrt-cube exp-to-pow

regimes15.0s (1.9%)

Accuracy

Total 44.8b remaining (20.9%)

Threshold costs 4.8b (2.2%)

8.3b15.5%Toniolo and Linder, Equation (13)
7.4b23.3%Toniolo and Linder, Equation (10+)
7.1b71.2%Toniolo and Linder, Equation (7)
5.5b13.7%Toniolo and Linder, Equation (10-)
5.2b0%Henrywood and Agarwal, Equation (12)

localize3.3s (0.4%)

bsearch3.0s (0.4%)

end1.0ms (0.0%)