Details

series17.9m (76.6%)

Calls

83 calls:

8.6m
(sin (* (pow 1 (* 2 (- b a))) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
8.6m
(sin (* (pow (sqrt (sqrt 1)) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
7.4s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.2s
(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*))))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

end2.5m (10.5%)

sample1.8m (7.8%)

Algorithm
21×intervals
Results
1.0m38576×body10240exit
11.9s7266×body1280valid
9.2s3437×body2560valid
6.6s57426×body80nan
6.0s56702×body80valid
4.1s4662×body640valid
1.0s2319×body320valid
407.0ms1204×body160valid
231.0ms8356×pre80true
58.0ms24×body5120valid
31.0ms29×body2560nan
21.0msbody5120nan
12.0ms22×body1280nan
7.0ms17×body640nan
5.0ms14×body320nan
1.0msbody160nan

simplify55.6s (4.0%)

prune9.5s (0.7%)

rewrite3.0s (0.2%)

Algorithm
27×rewrite-expression-head
Calls

83 calls:

283.0ms
(* (* (* 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*))))
262.0ms
(* (* (* 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*)))))
254.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
225.0ms
(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*)))))
209.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
429×add-sqr-sqrt
298×add-exp-log
285×unpow-prod-down
281×*-un-lft-identity
241×add-cube-cbrt
208×sqrt-prod
196×pow1
161×add-cbrt-cube
136×prod-exp
121×associate-*r*
105×log-prod
98×distribute-rgt-in associate-*r/ distribute-lft-in
90×add-log-exp
73×associate-*l*
68×unswap-sqr times-frac
59×exp-sum
55×pow-prod-down
53×sqr-pow
48×flip-- flip3--
47×pow-exp
46×swap-sqr
45×cbrt-unprod
42×sub-neg
36×unpow-prod-up
34×sqrt-pow1
32×frac-sub pow-to-exp
25×cbrt-prod
24×sqrt-div
22×log-pow
20×exp-prod difference-of-squares distribute-lft-out--
19×pow-unpow pow-pow
18×div-exp pow1/2
16×associate--l+
15×*-commutative
10×pow-sub
rem-sqrt-square associate-/r*
associate-/l* associate-*l/ div-inv rem-log-exp
pow1/3
sqrt-pow2 rem-exp-log exp-to-pow
cbrt-undiv acos-asin
associate-/l/ pow-sqr associate-/r/ pow-prod-up clear-num frac-2neg frac-times pow2
div-sub

regimes3.0s (0.2%)

Accuracy

Total 9.8b remaining (4.5%)

Threshold costs 0.5b (0.2%)

7.7b21.8%Toniolo and Linder, Equation (13)
1.7b0%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 015

localize870.0ms (0.1%)

bsearch425.0ms (0.0%)