Details

simplify1.9m (39.3%)

sample1.9m (38.7%)

Algorithm
21×intervals
Results
1.1m40017×body10240exit
11.3s7212×body1280valid
8.7s3487×body2560valid
7.5s58418×body80nan
6.1s56719×body80valid
3.9s4694×body640valid
1.1s2262×body320valid
814.0ms1197×body160valid
266.0ms8356×pre80true
118.0ms25×body5120valid
24.0ms23×body2560nan
19.0msbody5120nan
14.0ms24×body1280nan
4.0ms13×body320nan
3.0ms11×body640nan
2.0ms10×body160nan

series46.4s (16.0%)

Calls

106 calls:

7.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.5s
(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*)))))
5.9s
(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*))))))
2.1s
(* (* (* 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*))))

prune11.2s (3.9%)

rewrite2.7s (0.9%)

Algorithm
32×rewrite-expression-head
Calls

106 calls:

287.0ms
(* (* (* 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*))))
203.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
192.0ms
(* (* (* 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*)))))
192.0ms
(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*)))))
190.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
415×add-sqr-sqrt
325×*-un-lft-identity
314×add-exp-log
286×pow1
269×add-cube-cbrt
184×add-cbrt-cube
130×sqrt-prod
122×prod-exp
117×associate-*r*
111×unpow-prod-down
108×add-log-exp
104×associate-*r/
85×cbrt-prod
80×sqrt-pow1
73×associate-*l*
68×times-frac
63×pow-prod-down
52×flip-- flip3--
51×log-prod
50×pow1/2
47×cbrt-unprod
38×sub-neg pow-exp log-pow
34×unswap-sqr pow-unpow
32×distribute-rgt-in sqrt-div frac-sub distribute-lft-in
28×difference-of-squares swap-sqr distribute-lft-out-- sinh-def
27×pow1/3 pow-pow
22×pow-to-exp cbrt-div
18×div-exp
17×*-commutative
16×associate--l+
15×unpow-prod-up exp-prod sqr-pow
14×rem-sqrt-square pow-prod-up
11×exp-sum
10×pow-sqr
rem-log-exp
associate-/r*
associate-/l* sqrt-pow2 div-inv pow-sub
associate-*l/ pow-plus frac-times pow2
cbrt-undiv rem-exp-log cosh-def
associate-/l/ rem-square-sqrt acos-asin sqrt-unprod associate-/r/ clear-num frac-2neg exp-to-pow
div-sub e-exp-1

regimes2.3s (0.8%)

Accuracy

Total 11.0b remaining (5%)

Threshold costs 2.0b (0.9%)

7.7b20.8%Toniolo and Linder, Equation (13)
1.3b0%Random Jason Timeout Test 006
0.7b0%Random Jason Timeout Test 003
0.7b0%Random Jason Timeout Test 015
0.5b0%Random Jason Timeout Test 012

localize1.0s (0.3%)

bsearch267.0ms (0.1%)

end0.0ms (0.0%)