Details

sample1.0m (57.6%)

Algorithm
21×intervals
Results
34.4s38255×body10240exit
6.8s7311×body1280valid
5.3s3377×body2560valid
3.1s58693×body80nan
2.8s56497×body80valid
2.0s4742×body640valid
579.0ms2385×body320valid
200.0ms1248×body160valid
106.0ms8356×pre80true
44.0ms27×body5120valid
17.0msbody5120nan
16.0ms24×body2560nan
9.0ms26×body1280nan
3.0ms22×body640nan
2.0ms11×body320nan
1.0msbody160nan

series31.0s (29.0%)

Calls

107 calls:

5.0s
(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*)))))
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*))))))
4.8s
(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*)))))

prune6.6s (6.2%)

simplify3.4s (3.2%)

Algorithm
51×egg-herbie

rewrite2.1s (1.9%)

Algorithm
33×rewrite-expression-head
Calls

107 calls:

249.0ms
(* (* 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*)))))
175.0ms
(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*))))))
146.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
144.0ms
(* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
125.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
399×add-sqr-sqrt
340×add-exp-log
301×*-un-lft-identity
287×pow1
267×add-cube-cbrt
204×add-cbrt-cube
165×associate-*r*
133×prod-exp
124×associate-*r/
122×unpow-prod-down
117×add-log-exp
90×sqrt-prod
70×pow-prod-down
59×associate-*l*
58×times-frac
53×cbrt-unprod
51×pow-exp
50×flip-- distribute-rgt-in flip3-- distribute-lft-in
46×sqrt-pow1
44×sub-neg unswap-sqr
43×pow-unpow
42×sqrt-div log-prod
37×unpow-prod-up
36×frac-sub
34×pow-to-exp
32×pow1/2
31×sqr-pow
30×cbrt-prod
28×sinh-def
24×swap-sqr associate--l+ log-pow
22×*-commutative
21×exp-prod
20×pow-pow cube-prod
17×difference-of-squares distribute-lft-out-- div-exp
15×pow-prod-up
exp-sum pow-sqr
cbrt-div rem-log-exp associate-/r*
associate-/l* cube-mult unpow3 sum-log
pow1/3 div-inv
associate-*l/ frac-times
cbrt-undiv rem-square-sqrt pow-plus e-exp-1 rem-exp-log rem-cube-cbrt sqrt-unprod pow2
associate-/l/ +-commutative sqrt-pow2 acos-asin associate-+r+ flip-+ flip3-+ rem-sqrt-square associate-/r/ clear-num frac-2neg pow-sub
div-sub rem-cbrt-cube cosh-def

regimes1.5s (1.4%)

Accuracy

Total 11.9b remaining (5.4%)

Threshold costs 0.5b (0.2%)

9.8b23.8%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

localize467.0ms (0.4%)

bsearch196.0ms (0.2%)

end0.0ms (0.0%)