Details

simplify51.2s (66.2%)

sample20.6s (26.6%)

Algorithm
14×intervals
Results
12.1s11071×body10240exit
2.2s2557×body1280valid
1.9s17163×body80nan
1.4s12493×body80valid
570.0ms1699×body640valid
481.0ms255×body2560valid
182.0ms878×body320valid
55.0ms451×body160valid
44.0msbody5120nan
20.0ms12×body5120valid
10.0ms356×pre80true
9.0ms14×body2560nan
3.0ms15×body1280nan
1.0msbody640nan
0.0msbody320nan
0.0msbody160nan

prune2.5s (3.2%)

series1.4s (1.8%)

Calls

36 calls:

101.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
101.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
96.0ms
(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
90.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
74.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))

rewrite1.1s (1.4%)

Algorithm
16×rewrite-expression-head
Calls

48 calls:

223.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
212.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
79.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
69.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
66.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
Rules
392×add-sqr-sqrt
300×unpow-prod-down
280×*-un-lft-identity
250×add-cube-cbrt
217×sqrt-prod
184×unpow-prod-up
174×prod-diff
108×add-exp-log
82×cbrt-prod pow1
74×add-cbrt-cube
64×swap-sqr
56×associate-*r*
50×unswap-sqr associate-*l*
49×log1p-expm1-u
48×add-log-exp expm1-log1p-u
42×cube-prod
40×sqr-pow
34×prod-exp
28×times-frac
26×sub-neg
24×pow-exp associate-*r/
21×distribute-rgt-in distribute-lft-in
19×pow-to-exp
16×pow-unpow
15×difference-of-squares distribute-lft-out-- pow-prod-down
14×sqrt-pow1
13×flip-- flip3--
12×cbrt-unprod pow-sub
11×pow1/2
10×associate--l+
rem-sqrt-square frac-sub pow-pow associate-/r*
exp-sum sqrt-div associate-/l* log-prod
exp-prod
*-commutative pow1/3 div-exp
cbrt-undiv
associate-/l/ cube-div cube-mult expm1-udef pow-sqr associate-*l/ sqrt-pow2 unpow3 associate-/r/ pow-prod-up clear-num frac-2neg div-inv frac-times pow2 log-pow sinh-def
expm1-log1p rem-cube-cbrt div-sub acos-asin rem-exp-log rem-cbrt-cube sin-diff cbrt-div

localize318.0ms (0.4%)

regimes249.0ms (0.3%)

Accuracy

Total 0.0b remaining (0.1%)

Threshold costs 0.0b (0.1%)

0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

bsearch0.0ms (0.0%)

end0.0ms (0.0%)