Details

sample1.8m (43.2%)

Algorithm
21×intervals
Results
1.1m39399×body10240exit
12.0s7319×body1280valid
7.9s58266×body80nan
7.3s3388×body2560valid
6.3s56734×body80valid
4.3s4618×body640valid
1.1s2355×body320valid
357.0ms1179×body160valid
177.0ms8356×pre80true
77.0ms35×body5120valid
23.0msbody5120nan
22.0ms21×body2560nan
13.0ms25×body1280nan
4.0ms11×body640nan
2.0msbody320nan
1.0msbody160nan

simplify1.5m (34.7%)

series39.0s (15.4%)

Calls

73 calls:

8.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.0s
(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*)))))
6.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.5s
(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*))))))
2.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune10.5s (4.1%)

regimes3.1s (1.2%)

Accuracy

Total 10.0b remaining (4.6%)

Threshold costs 0.5b (0.2%)

7.8b23.9%Toniolo and Linder, Equation (13)
1.7b0%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

rewrite1.8s (0.7%)

Algorithm
24×rewrite-expression-head
Calls

73 calls:

215.0ms
(* (* (* 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*))))
150.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
139.0ms
(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*)))))
136.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
132.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
273×add-sqr-sqrt
264×add-exp-log
209×*-un-lft-identity
206×pow1
177×add-cube-cbrt
147×add-cbrt-cube
118×prod-exp
96×associate-*r/
95×associate-*r*
75×add-log-exp
73×unpow-prod-down
68×times-frac
64×sqrt-prod
57×pow-prod-down
46×flip3-- flip--
45×associate-*l*
43×cbrt-unprod
40×sqrt-pow1
34×pow-exp
32×frac-sub
28×pow1/2
27×log-prod
25×log-pow exp-prod
24×sqrt-div sub-neg distribute-lft-in unswap-sqr distribute-rgt-in
18×pow-to-exp div-exp
16×difference-of-squares distribute-lft-out-- swap-sqr associate--l+
13×*-commutative
11×sqr-pow
10×pow-prod-up pow-unpow
rem-sqrt-square associate-/r*
rem-log-exp
div-inv associate-/l* pow-sqr
rem-exp-log cbrt-undiv unpow-prod-up exp-sum pow-pow
associate-/l/ rem-square-sqrt frac-2neg pow2 associate-/r/ pow-plus acos-asin sqrt-unprod clear-num sinh-def
div-sub e-exp-1

localize1.2s (0.5%)

bsearch318.0ms (0.1%)

end0.0ms (0.0%)