Details

sample1.9m (42.0%)

Algorithm
21×intervals
Results
1.1m38776×body10240exit
12.0s7264×body1280valid
8.2s3424×body2560valid
7.8s56738×body80valid
6.1s57526×body80nan
3.7s4717×body640valid
1.1s2261×body320valid
364.0ms1159×body160valid
144.0ms8356×pre80true
62.0ms27×body5120valid
15.0ms21×body2560nan
9.0msbody5120nan
7.0ms26×body1280nan
4.0ms11×body640nan
3.0msbody320nan
1.0msbody160nan

simplify1.6m (36.2%)

series43.6s (16.2%)

Calls

91 calls:

7.8s
(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*)))))
7.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.4s
(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*))))))
1.9s
(* (* (* 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*))))

prune8.9s (3.3%)

rewrite3.1s (1.2%)

Algorithm
29×rewrite-expression-head
Calls

91 calls:

273.0ms
(* (* (* 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*))))
246.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
229.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
225.0ms
(* (* (* 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*)))))
218.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
329×add-sqr-sqrt
282×add-exp-log
247×*-un-lft-identity
228×pow1
217×add-cube-cbrt
168×add-cbrt-cube
117×prod-exp
111×associate-*r*
106×associate-*r/
103×add-log-exp
82×sqrt-prod
73×unpow-prod-down
72×log-prod
58×times-frac
56×pow-prod-down
55×flip-- flip3--
53×associate-*l*
52×sqrt-pow1
43×cbrt-unprod
40×frac-sub
36×log-pow
34×unswap-sqr
33×pow1/2
32×distribute-rgt-in sub-neg distribute-lft-in pow-exp
31×exp-prod
30×cbrt-prod
24×sqrt-div
20×cube-prod associate--l+
19×pow-to-exp
18×sqr-pow
16×swap-sqr div-exp
15×*-commutative difference-of-squares distribute-lft-out--
12×associate--r+
11×rem-log-exp
10×rem-sqrt-square pow-prod-up
pow-pow associate-/r*
diff-log cube-mult pow-sqr pow-unpow unpow3 associate-/l*
div-inv
pow1/3
cbrt-undiv rem-exp-log exp-sum
associate-/l/ sinh-def rem-cube-cbrt pow-plus rem-square-sqrt acos-asin associate--l- sqrt-unprod associate-/r/ clear-num frac-2neg pow2
div-sub

regimes2.0s (0.7%)

Accuracy

Total 10.6b remaining (4.9%)

Threshold costs 0.5b (0.2%)

8.9b9.2%Toniolo and Linder, Equation (13)
1.3b0%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

localize817.0ms (0.3%)

bsearch159.0ms (0.1%)

end0.0ms (0.0%)