Details

sample1.2m (63.9%)

Algorithm
21×intervals
Results
40.1s38637×body10240exit
7.8s7411×body1280valid
5.8s3422×body2560valid
4.6s57939×body80nan
4.4s56521×body80valid
2.4s4703×body640valid
736.0ms2355×body320valid
245.0ms1133×body160valid
158.0ms8356×pre80true
37.0ms19×body5120valid
17.0ms26×body2560nan
11.0msbody5120nan
9.0ms22×body1280nan
4.0ms11×body640nan
2.0msbody320nan
1.0msbody160nan

series27.9s (25.0%)

Calls

90 calls:

4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(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*))))

prune6.4s (5.7%)

simplify3.0s (2.7%)

Algorithm
45×egg-herbie

regimes1.3s (1.2%)

Accuracy

Total 9.6b remaining (4.4%)

Threshold costs 0.4b (0.2%)

7.5b18.4%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

rewrite872.0ms (0.8%)

Algorithm
27×rewrite-expression-head
Calls

90 calls:

83.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
63.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
59.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* 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 (/ Om l)))) (* (* 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
479×add-sqr-sqrt
372×unpow-prod-down
323×add-exp-log
303×*-un-lft-identity
269×add-cube-cbrt
232×sqrt-prod
199×pow1
171×add-cbrt-cube
163×associate-*r*
141×prod-exp
105×add-log-exp
96×associate-*r/
84×cbrt-prod unswap-sqr
78×times-frac
77×associate-*l*
61×sqr-pow
58×pow-exp
52×pow-prod-down
46×swap-sqr
45×flip-- flip3-- cbrt-unprod
40×sub-neg
39×pow-to-exp log-prod
36×unpow-prod-up
34×sqrt-pow1
33×exp-prod
32×frac-sub
31×log-pow
25×cube-prod
24×sqrt-div
22×distribute-rgt-in pow-unpow distribute-lft-in
18×div-exp
17×*-commutative difference-of-squares distribute-lft-out--
16×associate--l+ pow1/2
10×pow-pow pow-sub
sum-log rem-sqrt-square rem-log-exp associate-/r*
unpow3 cube-mult div-inv
pow1/3 associate-/l*
+-commutative flip3-+ flip-+
cbrt-undiv exp-sum
associate-/l/ associate-+r+ associate-*l/ sqrt-pow2 rem-cube-cbrt acos-asin rem-exp-log pow-sqr associate-/r/ rem-cbrt-cube pow-prod-up clear-num frac-2neg frac-times pow2 sinh-def
div-sub

localize383.0ms (0.3%)

bsearch378.0ms (0.3%)

end0.0ms (0.0%)