Details

sample1.9m (43.3%)

Algorithm
21×intervals
Results
1.0m38429×body10240exit
11.9s7361×body1280valid
8.0s3358×body2560valid
7.8s56639×body80valid
6.4s58246×body80nan
4.8s4678×body640valid
1.5s2302×body320valid
344.0ms1221×body160valid
225.0ms8356×pre80true
67.0ms29×body5120valid
28.0ms28×body2560nan
19.0msbody5120nan
9.0ms21×body1280nan
4.0ms11×body640nan
3.0ms10×body320nan
2.0ms10×body160nan

simplify1.4m (33.3%)

series43.5s (17.0%)

Calls

105 calls:

7.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
5.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
1.9s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

prune10.5s (4.1%)

rewrite3.4s (1.3%)

Algorithm
31×rewrite-expression-head
Calls

105 calls:

314.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
224.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
217.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))
193.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
192.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
Rules
657×add-sqr-sqrt
434×sqrt-prod
347×add-exp-log
343×*-un-lft-identity
307×add-cube-cbrt
282×pow1
244×unpow-prod-down
199×associate-*r*
195×add-cbrt-cube
152×prod-exp
144×cbrt-prod
130×unswap-sqr
126×associate-*l*
120×add-log-exp
106×swap-sqr
102×associate-*r/
69×pow-prod-down
68×times-frac
62×sqrt-pow1
53×cbrt-unprod
50×pow1/2
48×pow-exp
46×flip-- flip3-- sqr-pow
40×sqrt-div
38×sub-neg
33×pow-to-exp
32×frac-sub
31×log-prod
28×unpow-prod-up
24×distribute-rgt-in distribute-lft-in
23×*-commutative
21×pow-prod-up
20×exp-prod
19×log-pow
18×difference-of-squares rem-sqrt-square distribute-lft-out-- div-exp
16×associate--l+
15×pow-sqr
14×cosh-def sinh-def
12×pow1/3 exp-sum
10×pow-unpow pow-sub
cube-prod sum-log associate-/r*
pow2
log-div associate-/l* pow-pow associate-*l/ frac-times div-inv rem-log-exp
pow-plus acos-asin
exp-diff +-commutative flip-+ sqrt-unprod flip3-+
cbrt-undiv rem-square-sqrt rem-exp-log
associate-/l/ unpow3 cube-mult sqrt-pow2 associate-+r+ associate-/r/ clear-num frac-2neg
div-sub

regimes1.5s (0.6%)

Accuracy

Total 10.0b remaining (4.6%)

Threshold costs 1.0b (0.5%)

7.3b18.3%Toniolo and Linder, Equation (13)
1.7b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.3b0%Random Jason Timeout Test 002
0.3b0%Random Jason Timeout Test 014

localize942.0ms (0.4%)

bsearch254.0ms (0.1%)

end0.0ms (0.0%)