Details

sample1.9m (39.4%)

Algorithm
21×intervals
Results
1.1m39558×body10240exit
11.7s7329×body1280valid
8.5s3478×body2560valid
7.6s57429×body80nan
7.3s56633×body80valid
3.4s4522×body640valid
954.0ms2332×body320valid
739.0ms1206×body160valid
175.0ms8356×pre80true
136.0ms43×body5120valid
24.0ms26×body2560nan
17.0msbody5120nan
12.0ms23×body1280nan
8.0ms22×body640nan
3.0ms11×body320nan
3.0ms11×body160nan

simplify1.2m (25.6%)

series1.2m (24.4%)

Calls

88 calls:

14.8s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
13.1s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
9.9s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
9.8s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
9.6s
(sqrt (* (* 2.0 n) (* (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om)))) U)))

prune12.5s (4.4%)

rewrite11.9s (4.2%)

Algorithm
27×rewrite-expression-head
Calls

88 calls:

1.8s
(* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U)
1.8s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
1.2s
(* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om)))))
1.1s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
1.1s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
Rules
480×add-exp-log
280×add-sqr-sqrt
269×prod-exp
252×pow1
240×*-un-lft-identity
190×add-cube-cbrt
174×add-cbrt-cube
89×add-log-exp sqrt-prod
83×pow-exp
78×associate-*r*
69×pow-prod-down
66×unpow-prod-down
56×cbrt-unprod
53×sqrt-pow1
49×log-prod
45×pow-to-exp
44×associate-*l*
42×cbrt-prod
39×div-exp
35×times-frac
34×log-pow
32×associate-*r/
29×pow1/2
27×pow-unpow
23×difference-of-squares exp-prod distribute-lft-out--
20×pow1/3 sub-neg
19×pow-pow
18×associate-*l/
15×distribute-lft-in unswap-sqr distribute-rgt-in *-commutative
14×rem-sqrt-square
12×unpow-prod-up swap-sqr
11×rem-log-exp
10×sqrt-div flip3-+ flip-+
flip3-- flip-- sqr-pow
pow-prod-up pow-sqr pow-sub
associate-/r* associate-/l*
exp-sum sqrt-pow2
pow2 pow-plus
rem-exp-log associate-/l/ distribute-lft-out associate-/r/ acos-asin div-inv log-div
div-sub cbrt-undiv frac-2neg exp-to-pow clear-num

regimes3.8s (1.3%)

Accuracy

Total 11.6b remaining (5.3%)

Threshold costs 0.5b (0.2%)

8.9b29.3%Toniolo and Linder, Equation (13)
2.2b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

localize1.7s (0.6%)

bsearch304.0ms (0.1%)

end0.0ms (0.0%)