Details

Time bar (total: 2.3s)

sample304.0ms

Algorithm
intervals
Results
91.0ms48×body640valid
78.0ms81×body1280valid
38.0ms254×body80valid
10.0ms24×body320valid
3.0ms11×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
01937
13137
25336
38236
420136
582936
done500036

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.8b

localize49.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (atan2 x.im x.re) y.im)
31.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
31.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
32.5b
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log sqrt-prod add-cbrt-cube
sqrt-div add-log-exp
associate-*r* associate-*l*
rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
cos-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 56
Calls
4 calls:
22.0ms
(* (atan2 x.im x.re) y.im)
13.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
8.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
24.0ms
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series7.0ms