Details

simplify1.5m (59.0%)

series36.6s (23.9%)

Calls

80 calls:

7.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.7s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (* 2 (/ 2.0 2)))) (- U U*))))))
2.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample15.0s (9.8%)

Algorithm
15×intervals
Results
6.5s4930×body10240exit
3.0s21726×body80nan
2.2s25753×body80valid
412.0ms236×body1280valid
357.0ms95×body2560valid
205.0ms8356×pre80true
161.0ms149×body640valid
35.0ms68×body320valid
16.0msbody5120valid
14.0ms41×body160valid
13.0ms21×body2560nan
6.0ms18×body1280nan
1.0msbody640nan
0.0msbody160nan
0.0msbody320nan

prune7.7s (5.0%)

rewrite2.2s (1.4%)

Algorithm
25×rewrite-expression-head
Calls

80 calls:

249.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
241.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
174.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
155.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
153.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (* 2 (/ 2.0 2)))) (- U U*)))))
Rules
297×add-exp-log
292×add-sqr-sqrt
226×*-un-lft-identity
194×pow1 add-cube-cbrt
164×add-cbrt-cube
137×prod-exp
131×associate-*r*
116×cbrt-prod
102×associate-*r/
94×add-log-exp
61×unpow-prod-down
60×pow-prod-down
58×times-frac
51×cbrt-unprod
46×flip-- flip3--
41×associate-*l*
37×sqrt-pow1
36×distribute-rgt-in distribute-lft-in
34×pow-exp unswap-sqr
32×frac-sub
28×pow1/3 sub-neg
25×sqrt-prod
24×sqrt-div log-pow log-prod
20×associate--l+
19×pow-to-exp
18×div-exp
17×*-commutative
16×sinh-def difference-of-squares distribute-lft-out--
14×cbrt-div sqr-pow
12×swap-sqr exp-prod
10×pow1/2
cube-prod sum-log associate-/r*
associate-/l*
div-inv
+-commutative flip-+ flip3-+ pow-prod-up rem-log-exp pow-sqr
cbrt-undiv
associate-/l/ cube-mult associate-*l/ unpow3 pow-plus acos-asin associate-+r+ rem-sqrt-square frac-times associate-/r/ clear-num frac-2neg pow2
div-sub

localize655.0ms (0.4%)

regimes514.0ms (0.3%)

bsearch2.0ms (0.0%)

end0.0ms (0.0%)