Details

sample4.8m (51.8%)

Algorithm
17×intervals
Results
2.9m34887×body10240exit
33.7s7317×body1280valid
18.1s40106×body80valid
15.2s3389×body2560valid
14.5s4556×body640valid
11.4s37068×body80nan
2.4s2378×body320valid
853.0ms1275×body160valid
569.0ms8356×pre80true
142.0ms31×body5120valid
36.0ms17×body2560nan
30.0ms28×body1280nan
29.0msbody5120nan
19.0ms11×body640nan
5.0msbody320nan
2.0msbody160nan

simplify1.9m (21.1%)

series1.9m (20.4%)

Calls

72 calls:

20.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
18.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
18.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
17.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))))))
6.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune24.5s (4.4%)

rewrite5.5s (1.0%)

Algorithm
23×rewrite-expression-head
Calls

72 calls:

825.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*)))))
563.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))))))
388.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
374.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
367.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
366×associate-*r/
326×cbrt-div
278×flip-- flip3--
246×add-sqr-sqrt
211×add-exp-log
198×*-un-lft-identity
180×frac-sub
171×pow1
168×add-cube-cbrt frac-times
146×add-cbrt-cube
116×associate-*r*
91×add-log-exp
84×associate-*l/
79×unpow-prod-down
76×prod-exp
72×sqrt-div
58×times-frac
51×pow-prod-down
41×cbrt-unprod
39×log-prod
28×sqrt-pow1 log-pow associate-*l*
26×unswap-sqr
24×sub-neg cbrt-prod
22×distribute-rgt-in distribute-lft-in pow-exp
20×cube-prod sqr-pow
18×associate--l+
16×exp-prod
15×difference-of-squares distribute-lft-out--
14×*-commutative pow-unpow pow-to-exp
13×sqrt-prod
div-exp
sinh-def sum-log associate-/r*
pow1/2 rem-log-exp
cube-mult unpow3 unpow-prod-up associate-/l*
div-inv
+-commutative flip-+ flip3-+ pow-pow cube-div
diff-log cbrt-undiv exp-sum
associate-/l/ rem-cube-cbrt pow1/3 e-exp-1 acos-asin associate-+r+ associate-/r/ rem-cbrt-cube clear-num frac-2neg
div-sub rem-exp-log associate--l-

regimes4.2s (0.8%)

Accuracy

Total 10.6b remaining (4.8%)

Threshold costs 0.5b (0.2%)

9.1b10.4%Toniolo and Linder, Equation (13)
1.0b0%Random Jason Timeout Test 006
0.5b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002

localize2.1s (0.4%)

bsearch575.0ms (0.1%)

end4.0ms (0.0%)