Details

simplify2.9m (44.4%)

sample1.9m (28.1%)

Algorithm
21×intervals
Results
1.1m39556×body10240exit
12.1s7270×body1280valid
7.8s3476×body2560valid
7.3s58338×body80nan
6.3s56710×body80valid
3.7s4611×body640valid
1.0s2316×body320valid
831.0ms1198×body160valid
267.0ms8356×pre80true
62.0ms23×body5120valid
27.0ms33×body2560nan
16.0msbody5120nan
7.0ms18×body1280nan
5.0ms21×body320nan
4.0ms17×body640nan
2.0ms10×body160nan

series1.3m (19.7%)

Calls

70 calls:

17.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
16.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
11.2s
(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*)))))
10.9s
(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*))))))
3.8s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune18.3s (4.6%)

regimes6.4s (1.6%)

Accuracy

Total 11.5b remaining (5.2%)

Threshold costs 0.6b (0.3%)

8.6b15.9%Toniolo and Linder, Equation (13)
2.2b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.2b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002

rewrite3.0s (0.7%)

Algorithm
23×rewrite-expression-head
Calls

70 calls:

246.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
236.0ms
(* (* (* 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*))))
230.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
202.0ms
(* (* (* 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*)))))
199.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
Rules
292×add-exp-log
253×pow1
209×add-sqr-sqrt
185×add-cbrt-cube
172×*-un-lft-identity
142×prod-exp
140×add-cube-cbrt
108×associate-*r/
84×add-log-exp
79×pow-prod-down
75×associate-*r*
70×insert-posit16
69×cbrt-unprod
56×flip3-- flip--
55×associate-*l*
48×times-frac
40×frac-sub
38×unpow-prod-down
34×sub-neg distribute-lft-in distribute-rgt-in
28×pow-exp
24×sqrt-div
21×log-prod
20×unswap-sqr associate--l+
19×pow-prod-up log-pow pow-plus *-commutative
18×sqrt-pow1
16×exp-prod div-exp distribute-lft-out-- difference-of-squares
15×pow-to-exp
12×associate--r+
10×sqrt-prod
sqr-pow associate-/r*
pow2 pow-sqr
rem-log-exp pow1/2 diff-log associate-/l*
pow3 div-inv
exp-sum cbrt-undiv swap-sqr
sinh-def associate--l- associate-/l/ flip3-+ sum-log frac-2neg associate-/r/ rem-sqrt-square acos-asin clear-num +-commutative flip-+
div-sub rem-exp-log pow1/3 rem-cbrt-cube cbrt-prod

localize2.6s (0.7%)

bsearch579.0ms (0.1%)

end0.0ms (0.0%)