Details

sample1.9m (45.4%)

Algorithm
21×intervals
Results
1.1m38401×body10240exit
12.1s7328×body1280valid
8.3s3489×body2560valid
7.8s57763×body80nan
6.2s56596×body80valid
4.5s4524×body640valid
1.2s2304×body320valid
441.0ms1280×body160valid
164.0ms8356×pre80true
113.0ms36×body5120valid
34.0ms13×body5120nan
20.0ms24×body2560nan
10.0ms27×body1280nan
5.0ms24×body320nan
4.0ms11×body640nan
3.0ms14×body160nan

simplify1.4m (34.0%)

series38.8s (15.7%)

Calls

73 calls:

7.4s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.3s
(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 (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
5.2s
(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*)))))
1.9s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune7.3s (3.0%)

rewrite2.3s (0.9%)

Algorithm
23×rewrite-expression-head
Calls

73 calls:

288.0ms
(* (* (* 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*))))
219.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
216.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
211.0ms
(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*)))))
176.0ms
(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*)))))
Rules
367×add-sqr-sqrt
251×add-exp-log
241×*-un-lft-identity
217×unpow-prod-down
209×add-cube-cbrt
190×sqrt-prod
169×pow1
130×add-cbrt-cube
111×prod-exp
83×associate-*r*
80×associate-*r/
78×add-log-exp cbrt-prod
75×times-frac
58×unswap-sqr
46×swap-sqr pow-prod-down
44×flip-- flip3--
43×pow-exp
41×associate-*l*
39×sqr-pow log-prod
34×sub-neg
32×frac-sub cbrt-unprod
31×unpow-prod-up
30×pow-to-exp
26×sqrt-pow1
24×sqrt-div
23×pow-unpow
21×log-pow
18×distribute-rgt-in distribute-lft-in
16×difference-of-squares distribute-lft-out--
15×div-exp
14×associate--l+
13×pow1/2 pow1/3
10×pow-pow exp-prod pow-sub
*-commutative
associate-/r*
div-inv rem-log-exp
associate-/l* cube-prod rem-sqrt-square
associate--r+
cbrt-undiv exp-sum cbrt-div diff-log
associate-/l/ unpow3 cube-mult associate-*l/ sqrt-pow2 acos-asin associate-/r/ pow-prod-up clear-num frac-times frac-2neg pow2 pow-sqr
div-sub e-exp-1 rem-exp-log rem-cube-cbrt associate--l- rem-cbrt-cube

regimes1.7s (0.7%)

Accuracy

Total 11.1b remaining (5.1%)

Threshold costs 0.5b (0.2%)

8.8b14.8%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004

localize618.0ms (0.3%)

bsearch143.0ms (0.1%)

end0.0ms (0.0%)