Details

simplify41.7s (81.9%)

sample4.8s (9.3%)

Algorithm
12×intervals
Results
2.2s1242×body10240exit
495.0ms2018×body80nan
391.0ms224×body1280valid
298.0ms104×body2560valid
203.0ms1749×body80valid
186.0ms154×body640valid
30.0ms58×body320valid
19.0ms18×body2560nan
15.0ms48×body160valid
9.0ms19×body1280nan
8.0ms356×pre80true
4.0msbody5120nan
4.0msbody5120valid
2.0ms10×body640nan
0.0msbody160nan
0.0msbody320nan

series2.0s (4.0%)

Calls

26 calls:

116.0ms
(expm1 (sin (sqrt (pow (atan2 b b) (- b a)))))
114.0ms
(* (sqrt (expm1 (sin (sqrt (pow (atan2 b b) (- b a)))))) (sqrt (expm1 (sin (sqrt (pow (atan2 b b) (- b a)))))))
114.0ms
(expm1 (sin (sqrt (pow (atan2 b b) (- b a)))))
113.0ms
(expm1 (sin (sqrt (pow (atan2 b b) (- b a)))))
112.0ms
(log1p (expm1 (sin (sqrt (pow (atan2 b b) (- b a))))))

prune1.5s (3.0%)

rewrite647.0ms (1.3%)

Algorithm
15×rewrite-expression-head
Calls

39 calls:

94.0ms
(sqrt (* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
88.0ms
(* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))
70.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
60.0ms
(/ (- x lo) (- hi lo))
33.0ms
(fmod (cosh c) (log1p a))
Rules
183×add-sqr-sqrt
157×*-un-lft-identity
121×add-cube-cbrt
99×pow1
78×add-exp-log
64×add-cbrt-cube
54×prod-diff
49×sqrt-prod
46×log1p-expm1-u
44×unpow-prod-up
40×expm1-log1p-u
39×add-log-exp
28×times-frac
24×sqrt-pow1
23×pow-unpow
21×unpow-prod-down pow1/2
19×pow-prod-down
18×associate-*r* difference-of-squares distribute-lft-out-- prod-exp associate-*l*
16×swap-sqr
12×cbrt-unprod
11×distribute-rgt-in distribute-lft-in
10×pow-prod-up
pow-pow
unswap-sqr expm1-udef associate-/r*
expm1-log1p pow-exp
associate-/l* sub-neg pow-to-exp pow-sqr
flip-- flip3-- sqr-pow
*-commutative associate-*l/ div-exp pow-sub
cbrt-undiv log1p-udef log1p-expm1
associate-/l/ rem-square-sqrt sqrt-pow2 pow-plus rem-sqrt-square sqrt-unprod associate-/r/ sqrt-div clear-num associate-*r/ frac-2neg div-inv pow2 sinh-def
div-sub acos-asin sin-diff

localize267.0ms (0.5%)

regimes3.0ms (0.0%)