Details

sample1.0m (57.2%)

Algorithm
21×intervals
Results
35.4s38943×body10240exit
7.0s7357×body1280valid
5.3s3395×body2560valid
2.8s58330×body80nan
2.8s56590×body80valid
2.0s4688×body640valid
561.0ms2363×body320valid
187.0ms1155×body160valid
111.0ms8356×pre80true
33.0ms21×body5120valid
17.0msbody5120nan
16.0ms22×body2560nan
6.0ms24×body1280nan
3.0ms13×body320nan
2.0msbody640nan
1.0msbody160nan

series32.8s (30.9%)

Calls

96 calls:

4.6s
(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*)))))
4.6s
(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*))))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(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 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))

prune6.4s (6.1%)

simplify3.1s (2.9%)

Algorithm
47×egg-herbie

regimes1.6s (1.5%)

Accuracy

Total 9.8b remaining (4.5%)

Threshold costs 0.5b (0.2%)

8.3b8.2%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

rewrite852.0ms (0.8%)

Algorithm
29×rewrite-expression-head
Calls

96 calls:

81.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
58.0ms
(* (* (* 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*)))))
57.0ms
(* (* (* 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*))))
50.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
45.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
363×add-sqr-sqrt
312×add-exp-log
279×*-un-lft-identity
223×add-cube-cbrt
215×pow1
175×add-cbrt-cube
142×unpow-prod-down
128×prod-exp
121×associate-*r*
115×add-log-exp
97×sqrt-prod
96×associate-*r/
68×times-frac
51×pow-prod-down
50×sqrt-pow1
48×flip-- flip3--
47×pow-exp
45×cbrt-unprod associate-*l*
41×pow-unpow
36×difference-of-squares log-prod
33×exp-prod
32×sub-neg frac-sub log-pow
30×unswap-sqr
28×distribute-lft-out-- pow-to-exp
26×sqr-pow
24×distribute-rgt-in distribute-lft-in sqrt-div pow1/2
18×div-exp
16×cube-prod associate--l+
15×*-commutative pow-pow
14×unpow-prod-up cbrt-prod
12×rem-sqrt-square
sum-log associate-/r*
rem-log-exp
div-inv associate-/l* pow-sub
unpow3 cube-mult +-commutative flip3-+ sqrt-pow2 flip-+
cbrt-undiv exp-sum
diff-log associate-/l/ sinh-def associate-+r+ acos-asin rem-exp-log associate-/r/ clear-num frac-2neg
rem-cube-cbrt div-sub

localize420.0ms (0.4%)

bsearch167.0ms (0.2%)

end0.0ms (0.0%)