Details

sample1.9m (64.2%)

Algorithm
21×intervals
Results
1.1m38401×body10240exit
11.1s7328×body1280valid
7.6s57763×body80nan
7.4s3489×body2560valid
7.2s56596×body80valid
3.9s4524×body640valid
1.2s1280×body160valid
1.1s2304×body320valid
173.0ms8356×pre80true
115.0ms36×body5120valid
48.0ms11×body640nan
30.0ms13×body5120nan
20.0ms24×body2560nan
11.0ms27×body1280nan
7.0ms24×body320nan
2.0ms14×body160nan

series44.8s (25.7%)

Calls

73 calls:

7.6s
(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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.4s
(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*)))))
5.3s
(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*)))))
5.1s
(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*)))))

prune8.2s (4.7%)

simplify3.5s (2.0%)

rewrite2.7s (1.5%)

Algorithm
23×rewrite-expression-head
Calls

73 calls:

230.0ms
(* (* (* 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 (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
180.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
178.0ms
(* (* (* 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)) (- U U*)))))
Rules
351×add-sqr-sqrt
267×add-exp-log
216×*-un-lft-identity
211×unpow-prod-down
195×pow1
185×sqrt-prod
184×add-cube-cbrt
147×add-cbrt-cube
124×prod-exp
110×associate-*r/
98×associate-*r*
79×add-log-exp
66×pow-prod-down
64×unswap-sqr
59×flip-- flip3--
50×cbrt-prod
48×times-frac
47×associate-*l*
46×swap-sqr
45×cbrt-unprod
44×frac-sub
42×pow-exp sub-neg
37×sqr-pow
31×unpow-prod-up
30×sqrt-div
29×pow-to-exp
28×sqrt-pow1
26×distribute-rgt-in distribute-lft-in
22×associate--l+
21×log-prod
20×pow-unpow
16×difference-of-squares distribute-lft-out-- log-pow
15×div-exp
13×pow1/2
12×*-commutative
11×exp-prod
10×pow-sub
pow-pow
pow1/3 associate-/r*
associate-/l* rem-sqrt-square
rem-log-exp
associate--r+ div-inv
cbrt-undiv exp-sum diff-log
associate-/l/ associate-*l/ sqrt-pow2 acos-asin associate-/r/ pow-prod-up clear-num frac-times frac-2neg pow2 pow-sqr
div-sub e-exp-1 rem-exp-log associate--l- pow3 exp-to-pow

regimes2.2s (1.3%)

Accuracy

Total 10.5b remaining (4.8%)

Threshold costs 0.3b (0.1%)

8.2b16.4%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012
0.0b9.6%Random Jason Timeout Test 004

localize877.0ms (0.5%)

bsearch125.0ms (0.1%)

end0.0ms (0.0%)