Details

sample2.3m (63.5%)

Algorithm
21×intervals
Results
1.3m38415×body10240exit
14.7s7421×body1280valid
11.7s58331×body80nan
10.6s56515×body80valid
9.1s3410×body2560valid
5.4s4678×body640valid
1.4s2301×body320valid
571.0ms1230×body160valid
354.0ms8356×pre80true
91.0ms32×body5120valid
38.0ms12×body5120nan
37.0ms27×body2560nan
23.0ms29×body1280nan
11.0ms17×body640nan
3.0msbody320nan
3.0ms12×body160nan

simplify40.4s (18.8%)

series13.9s (6.5%)

Calls

65 calls:

2.1s
(sqrt (* (* (* U 2) n) (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))))
2.1s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))
2.1s
(sqrt (* (* (* U 2) n) (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l)))))
2.0s
(sqrt (* (* (* (* U 2) n) (* (cbrt (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l)))) (cbrt (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l)))))) (cbrt (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l))))))
511.0ms
(* (* (* U 2) n) (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))

prune9.6s (4.5%)

rewrite7.9s (3.7%)

Algorithm
23×rewrite-expression-head
Calls

65 calls:

3.3s
(sqrt (* (* (* (* U 2) n) (* (cbrt (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l)))) (cbrt (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l)))))) (cbrt (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l))))))
943.0ms
(* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))))
909.0ms
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))
909.0ms
(* (* (* U 2) n) (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))
559.0ms
(* (* (* U 2) n) (- t (+ (* (* n (/ l Om)) (* (/ l Om) (- U U*))) (* (* (/ l Om) 2) l))))
Rules
210×add-sqr-sqrt
194×pow1
184×*-un-lft-identity
175×add-cbrt-cube add-exp-log
144×add-cube-cbrt
78×pow-prod-down
75×associate-*r/
69×cbrt-prod
65×add-log-exp insert-posit16 associate-*r* times-frac
62×cbrt-unprod prod-exp
60×cbrt-div
48×frac-times flip3-- flip--
32×sqrt-div
27×sqrt-pow1 associate-*l* associate-*l/
22×sqrt-prod
20×difference-of-squares distribute-lft-out--
18×distribute-rgt-in distribute-lft-in
17×pow1/3
15×div-exp cbrt-undiv
14×exp-prod log-pow sub-neg
13×log-prod
10×pow1/2
*-commutative
unswap-sqr
rem-sqrt-square
associate-/r* div-inv associate-/l*
exp-sum acos-asin
rem-log-exp
associate-/r/ associate-/l/
exp-diff div-sub frac-2neg rem-exp-log clear-num log-div

regimes5.3s (2.5%)

Accuracy

Total 12.6b remaining (5.9%)

Threshold costs 0.4b (0.2%)

7.8b33.1%Toniolo and Linder, Equation (13)
2.4b0%Random Jason Timeout Test 004
1.9b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012

localize1.1s (0.5%)

bsearch285.0ms (0.1%)

end0.0ms (0.0%)