Details

sample1.0m (61.6%)

Algorithm
21×intervals
Results
36.3s39571×body10240exit
6.8s7234×body1280valid
5.2s3365×body2560valid
2.9s57648×body80nan
2.8s56568×body80valid
2.1s4758×body640valid
550.0ms2272×body320valid
198.0ms1215×body160valid
123.0ms8356×pre80true
37.0ms18×body5120valid
13.0ms20×body2560nan
7.0ms26×body1280nan
4.0msbody5120nan
1.0ms11×body160nan
1.0ms10×body320nan
1.0ms10×body640nan

series26.0s (26.0%)

Calls

66 calls:

4.8s
(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 (/ 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 l) Om))) (* (* 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*))))))
1.4s
(* (* 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*)))))

prune5.8s (5.8%)

simplify2.9s (2.9%)

Algorithm
41×egg-herbie

regimes2.4s (2.4%)

Accuracy

Total 12.6b remaining (5.8%)

Threshold costs 0.4b (0.2%)

8.6b33.4%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
1.8b0%Random Jason Timeout Test 004
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 002

rewrite761.0ms (0.8%)

Algorithm
23×rewrite-expression-head
Calls

66 calls:

84.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
84.0ms
(* (* 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*)))))
80.0ms
(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*))))))
65.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
62.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
Rules
261×add-sqr-sqrt
255×add-exp-log
235×*-un-lft-identity
203×add-cube-cbrt
162×pow1
141×add-cbrt-cube
134×distribute-rgt-in distribute-lft-in
132×prod-diff
120×prod-exp
108×associate-*r/
76×associate-*r*
68×log1p-expm1-u add-log-exp
67×expm1-log1p-u
61×times-frac
56×pow-prod-down
50×associate--l+
45×unpow-prod-down
42×cbrt-unprod
41×flip-- flip3--
30×pow-exp
28×sub-neg frac-sub
27×cbrt-prod
24×sqrt-div
21×sqrt-pow1
20×div-exp
18×exp-prod
16×difference-of-squares distribute-lft-out-- log-pow associate-*l*
15×pow-to-exp
12×log-prod unswap-sqr
11×associate-/r*
10×*-commutative sqrt-prod
pow1/3
associate-/l*
sqr-pow div-inv pow1/2
cbrt-undiv
rem-log-exp
expm1-udef clear-num frac-2neg
expm1-log1p associate-/l/ rem-exp-log acos-asin rem-sqrt-square fma-udef associate-/r/ sinh-def
sin-diff div-sub log1p-udef log1p-expm1

localize370.0ms (0.4%)

bsearch235.0ms (0.2%)

end0.0ms (0.0%)