Details

simplify1.1m (39.5%)

sample1.0m (36.6%)

Algorithm
21×intervals
Results
34.8s38482×body10240exit
6.9s7386×body1280valid
5.3s3411×body2560valid
2.8s57421×body80nan
2.7s56588×body80valid
2.0s4592×body640valid
562.0ms2363×body320valid
191.0ms1204×body160valid
105.0ms8356×pre80true
63.0ms31×body5120valid
25.0ms12×body5120nan
23.0ms33×body2560nan
7.0ms28×body1280nan
5.0ms19×body640nan
3.0ms18×body320nan
1.0msbody160nan

series30.4s (18.2%)

Calls

91 calls:

5.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.2s
(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*))))))
5.1s
(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 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune6.0s (3.6%)

rewrite1.8s (1.0%)

Algorithm
30×rewrite-expression-head
Calls

91 calls:

170.0ms
(* (* (* 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*))))
151.0ms
(* (* (* 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*)))))
136.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
122.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
119.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
467×add-sqr-sqrt
336×add-exp-log
295×*-un-lft-identity
274×unpow-prod-down
253×add-cube-cbrt
220×sqrt-prod
212×pow1
174×add-cbrt-cube
151×associate-*r*
149×prod-exp
98×associate-*r/
91×add-log-exp
83×times-frac
80×unswap-sqr
75×associate-*l*
55×pow-exp
53×pow-prod-down
52×sqr-pow
47×cbrt-unprod
46×flip-- flip3-- swap-sqr
42×sub-neg
41×log-prod
39×unpow-prod-up pow-to-exp
38×pow-unpow sqrt-pow1
32×frac-sub
28×distribute-rgt-in distribute-lft-in
24×sqrt-div cbrt-prod log-pow
22×pow1/2
21×difference-of-squares distribute-lft-out--
19×pow-pow
18×div-exp
17×*-commutative
16×associate--l+
14×cube-prod exp-prod
12×rem-sqrt-square rem-log-exp
11×pow-sub
associate-/r*
div-inv
associate-/l*
pow1/3
unpow3 cube-mult sqrt-pow2 exp-sum pow-prod-up
cbrt-undiv
associate-/l/ sinh-def pow-plus pow-sqr associate-*l/ div-sub acos-asin rem-exp-log associate-/r/ pow3 clear-num frac-2neg frac-times pow2 unpow2
e-exp-1 rem-cube-cbrt rem-cbrt-cube

regimes1.3s (0.8%)

Accuracy

Total 11.0b remaining (5%)

Threshold costs 0.5b (0.2%)

8.9b13.4%Toniolo and Linder, Equation (13)
1.6b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 015
0.0b0%Random Jason Timeout Test 003

localize399.0ms (0.2%)

bsearch192.0ms (0.1%)

end0.0ms (0.0%)