Details

series7.4m (63.7%)

Calls

90 calls:

6.9m
(sin (* (pow 1 (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
5.1s
(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*)))))
5.0s
(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*))))))
5.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* 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*)))))

end3.0m (25.5%)

sample1.0m (8.8%)

Algorithm
21×intervals
Results
34.9s38721×body10240exit
6.8s7315×body1280valid
5.4s3451×body2560valid
2.8s57103×body80nan
2.8s56575×body80valid
2.0s4717×body640valid
547.0ms2280×body320valid
196.0ms1190×body160valid
103.0ms8356×pre80true
48.0ms31×body5120valid
25.0ms12×body5120nan
10.0ms17×body2560nan
5.0ms15×body1280nan
2.0ms14×body640nan
2.0ms12×body320nan
1.0msbody160nan

prune6.2s (0.9%)

simplify3.7s (0.5%)

rewrite1.9s (0.3%)

Algorithm
29×rewrite-expression-head
Calls

90 calls:

171.0ms
(* (* (* 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*))))
150.0ms
(* (* (* 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*)))))
135.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
118.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
117.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
476×add-sqr-sqrt
328×add-exp-log
304×unpow-prod-down
301×*-un-lft-identity
259×add-cube-cbrt
208×sqrt-prod
204×pow1
176×add-cbrt-cube
159×associate-*r*
148×prod-exp
108×log-prod
98×distribute-rgt-in associate-*r/ distribute-lft-in
97×add-log-exp
85×associate-*l*
82×unswap-sqr
69×times-frac
62×sqr-pow
59×exp-sum
55×pow-prod-down
53×pow-exp
49×flip-- flip3-- cbrt-unprod
46×swap-sqr
43×sub-neg
39×unpow-prod-up
37×pow-to-exp
34×sqrt-pow1
32×frac-sub
24×sqrt-div
22×difference-of-squares
21×distribute-lft-out--
19×*-commutative pow-unpow log-pow
18×exp-prod pow1/2 div-exp pow-pow
16×associate--l+
10×pow-sub
cube-prod rem-sqrt-square associate-/r*
associate-/l* associate-*l/ div-inv rem-log-exp
sqrt-pow2 rem-exp-log
cbrt-undiv cbrt-prod
associate-/l/ sinh-def unpow3 cube-mult pow-sqr acos-asin asin-acos associate-/r/ pow-prod-up clear-num frac-2neg exp-to-pow frac-times pow2
diff-log div-sub e-exp-1 pow1/3 associate--r-

regimes1.5s (0.2%)

Accuracy

Total 9.4b remaining (4.3%)

Threshold costs 0.4b (0.2%)

7.7b17.7%Toniolo and Linder, Equation (13)
1.2b0%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 003

localize404.0ms (0.1%)

bsearch237.0ms (0.0%)