Details

sample1.1m (61.2%)

Algorithm
21×intervals
Results
36.3s39414×body10240exit
6.8s7225×body1280valid
5.3s3399×body2560valid
2.8s56585×body80valid
2.7s57365×body80nan
2.1s4713×body640valid
569.0ms2383×body320valid
212.0ms1210×body160valid
105.0ms8356×pre80true
52.0ms29×body5120valid
20.0ms33×body2560nan
19.0msbody5120nan
8.0ms23×body1280nan
3.0ms12×body640nan
3.0ms14×body320nan
1.0ms10×body160nan

series29.1s (28.3%)

Calls

76 calls:

5.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (cbrt (* n (pow (/ l Om) 2.0))) (cbrt (* n (pow (/ l Om) 2.0)))) (cbrt (* n (pow (/ l Om) 2.0)))) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune4.7s (4.6%)

simplify2.7s (2.6%)

regimes1.4s (1.3%)

Accuracy

Total 9.9b remaining (4.5%)

Threshold costs 0.5b (0.2%)

7.8b14.6%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 002

rewrite1.3s (1.3%)

Algorithm
25×rewrite-expression-head
Calls

76 calls:

216.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (cbrt (* n (pow (/ l Om) 2.0))) (cbrt (* n (pow (/ l Om) 2.0)))) (cbrt (* n (pow (/ l Om) 2.0)))) (- U U*)))))
117.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
117.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
114.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
83.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
259×add-sqr-sqrt
212×add-exp-log
193×*-un-lft-identity
163×add-cube-cbrt
158×pow1
145×add-cbrt-cube
134×associate-*r*
90×add-log-exp
78×prod-exp
76×associate-*r/
62×unpow-prod-down
48×times-frac
45×pow-prod-down
40×flip-- flip3--
38×cbrt-unprod
36×unswap-sqr associate-*l*
30×cbrt-prod
28×frac-sub
27×log-prod
24×sqrt-div
20×sqr-pow
18×distribute-rgt-in sub-neg distribute-lft-in pow-exp sqrt-pow1
16×*-commutative cube-prod
15×difference-of-squares distribute-lft-out-- log-pow
13×pow-to-exp
12×pow1/3 associate--l+
10×sqrt-prod exp-prod
sum-log div-exp associate-/r*
associate-/l* rem-log-exp pow1/2
unpow3 cube-mult +-commutative flip3-+ flip-+ div-inv
cbrt-undiv exp-sum
associate-/l/ sinh-def associate-+r+ acos-asin rem-sqrt-square associate-/r/ clear-num frac-2neg
rem-exp-log div-sub

localize375.0ms (0.4%)

bsearch357.0ms (0.3%)

end0.0ms (0.0%)