Details

simplify1.5m (66.2%)

series20.5s (14.8%)

Calls

74 calls:

2.9s
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
2.8s
(sqrt (* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
2.6s
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (* (* 2.0 n) U)))
1.9s
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))) (* (* 2.0 n) U)))
1.1s
(* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))

sample15.0s (10.8%)

Algorithm
15×intervals
Results
6.6s4930×body10240exit
2.7s21726×body80nan
2.6s25753×body80valid
393.0ms236×body1280valid
282.0ms95×body2560valid
192.0ms8356×pre80true
149.0ms149×body640valid
26.0ms68×body320valid
23.0ms21×body2560nan
21.0msbody5120valid
12.0ms41×body160valid
9.0ms18×body1280nan
1.0msbody640nan
1.0msbody160nan
0.0msbody320nan

prune8.5s (6.1%)

rewrite1.5s (1.1%)

Algorithm
25×rewrite-expression-head
Calls

74 calls:

246.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
113.0ms
(* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))
108.0ms
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
99.0ms
(* (- t (fma 2.0 (* l (/ l Om)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (* (* 2.0 n) U))
98.0ms
(* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))
Rules
319×add-sqr-sqrt
269×*-un-lft-identity
262×add-exp-log
229×add-cube-cbrt
180×pow1
144×add-cbrt-cube
118×prod-exp
104×cbrt-prod
87×associate-*r*
75×log1p-expm1-u expm1-log1p-u
74×add-log-exp
72×prod-diff
68×times-frac
61×associate-*l*
60×unpow-prod-down
55×pow-prod-down
44×distribute-rgt-in distribute-lft-in
43×cbrt-unprod
36×sqrt-pow1
30×pow-exp
28×pow1/3
25×sqrt-prod
24×log-pow unswap-sqr log-prod
20×difference-of-squares distribute-lft-out--
18×associate-*l/ div-exp
16×sinh-def
15×pow-to-exp
14×flip-- cbrt-div flip3--
13×*-commutative
12×swap-sqr exp-prod
10×associate-*r/ pow1/2
sqrt-div sub-neg sqr-pow associate-/r*
associate-/l* div-inv
pow-prod-up rem-log-exp pow-sqr
cbrt-undiv
associate-/l/ expm1-udef pow-plus acos-asin rem-sqrt-square fma-udef frac-times associate-/r/ pow2 clear-num frac-2neg
expm1-log1p div-sub log1p-udef log1p-expm1 sin-diff

localize829.0ms (0.6%)

regimes561.0ms (0.4%)

bsearch2.0ms (0.0%)

end0.0ms (0.0%)