Details

series20.4m (94.5%)

Calls

88 calls:

7.3m
(sin (* (pow (sqrt (sqrt 1)) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
7.3m
(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*))))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

sample57.1s (4.4%)

Algorithm
19×intervals
Results
33.2s35057×body10240exit
6.8s7311×body1280valid
5.4s3449×body2560valid
2.0s4713×body640valid
1.9s37701×body80nan
1.9s40591×body80valid
551.0ms2276×body320valid
190.0ms1188×body160valid
115.0ms8356×pre80true
47.0ms31×body5120valid
25.0ms12×body5120nan
10.0ms17×body2560nan
5.0ms15×body1280nan
2.0ms14×body640nan
2.0ms12×body320nan
1.0msbody160nan

prune6.9s (0.5%)

simplify3.3s (0.3%)

rewrite2.3s (0.2%)

Algorithm
29×rewrite-expression-head
Calls

90 calls:

173.0ms
(* (* (* 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*))))
155.0ms
(* (* (* 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*)))))
136.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
127.0ms
(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*)))))
123.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
887×add-sqr-sqrt
832×sqrt-prod
584×*-un-lft-identity
546×add-cube-cbrt
429×prod-diff
420×unpow-prod-down
357×unpow-prod-up
308×add-exp-log
218×pow1
207×associate-*r*
202×distribute-rgt-in distribute-lft-in
168×add-cbrt-cube
164×swap-sqr
157×associate-*l*
138×unswap-sqr
136×prod-exp
105×times-frac
98×associate-*r/
93×add-log-exp
91×log1p-expm1-u
90×expm1-log1p-u
74×sqr-pow
67×sub-neg
59×pow-prod-down
50×sqrt-pow1
49×pow-exp
47×flip-- flip3--
45×cbrt-unprod
40×associate--l+
34×pow1/2
33×pow-to-exp
32×frac-sub
24×sqrt-div log-prod
20×difference-of-squares
19×pow-unpow distribute-lft-out--
18×pow-pow div-exp
17×log-pow
16×exp-prod
15×*-commutative
13×fma-neg
12×rem-sqrt-square
10×div-inv pow-sub
pow-prod-up pow-sqr associate-/r*
associate-/l* rem-log-exp
sqrt-pow2 pow2
cbrt-undiv exp-sum cbrt-prod
associate-/l/ rem-exp-log rem-square-sqrt associate-*l/ pow-plus acos-asin asin-acos fma-udef sqrt-unprod associate-/r/ clear-num frac-2neg frac-times sinh-def
expm1-log1p div-sub e-exp-1 pow1/3 associate--r- expm1-udef diff-log

regimes1.4s (0.1%)

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 002

localize416.0ms (0.0%)

bsearch242.0ms (0.0%)

end0.0ms (0.0%)