Details

sample1.0m (58.9%)

Algorithm
21×intervals
Results
36.0s39760×body10240exit
6.8s7298×body1280valid
5.4s3444×body2560valid
3.0s56840×body80valid
2.9s58069×body80nan
2.0s4635×body640valid
527.0ms2236×body320valid
191.0ms1170×body160valid
126.0ms8356×pre80true
69.0ms35×body5120valid
19.0msbody5120nan
18.0ms26×body2560nan
8.0ms24×body1280nan
2.0ms12×body640nan
2.0ms10×body320nan
2.0ms12×body160nan

series29.2s (27.9%)

Calls

90 calls:

4.7s
(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 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*)))))
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*)))))

prune6.7s (6.4%)

simplify3.7s (3.5%)

Algorithm
47×egg-herbie

regimes1.9s (1.8%)

Accuracy

Total 10.1b remaining (4.6%)

Threshold costs 0.4b (0.2%)

8.0b14.5%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

rewrite827.0ms (0.8%)

Algorithm
29×rewrite-expression-head
Calls

90 calls:

83.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
62.0ms
(* (* (* 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*))))
60.0ms
(* (* (* 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*)))))
53.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
47.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
387×add-sqr-sqrt
334×add-exp-log
303×*-un-lft-identity
261×add-cube-cbrt
248×pow1
196×add-cbrt-cube
180×log-prod
170×associate-*r*
145×prod-exp
126×log-pow
104×associate-*r/
95×cbrt-prod
92×add-log-exp
88×exp-prod
82×sqrt-prod
76×unpow-prod-down
69×pow-prod-down times-frac
65×associate-*l*
64×distribute-rgt-in distribute-lft-in
62×cbrt-unprod
51×flip-- flip3--
40×unswap-sqr
34×pow-exp
33×sub-neg
32×frac-sub
28×sqrt-pow1
24×*-commutative sqrt-div
22×difference-of-squares
21×distribute-lft-out--
19×pow-to-exp
18×div-exp
17×rem-log-exp
16×sqr-pow associate--l+ pow1/2
10×pow1/3
cube-prod rem-sqrt-square associate-/r*
associate-/l* div-inv
cbrt-undiv exp-sum
associate-/l/ sinh-def unpow3 cube-mult acos-asin asin-acos associate-/r/ clear-num frac-2neg
diff-log div-sub rem-exp-log associate--r- pow3

localize475.0ms (0.5%)

bsearch255.0ms (0.2%)

end0.0ms (0.0%)