Details

Time bar (total: 5.8s)

sample1.4s

Algorithm
intervals
Results
987.0ms254×body80valid
90.0ms70×body1280valid
37.0ms46×body640valid
11.0ms22×body320valid
3.0msbody2560valid
3.0msbody160valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
019784
131784
253784
382784
4197784
5808784
done5001784

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize54.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (atan2 x.im x.re) y.im)
29.5b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
29.5b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
32.4b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 *-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log sqrt-prod
sqrt-div add-log-exp
associate-*r* associate-*l*
rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
sin-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 56
Calls
4 calls:
7.0ms
(* (atan2 x.im x.re) y.im)
15.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
7.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
17.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (atan2 x.im x.re) y.im)
58.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
56.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
230.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify54.0ms

Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
09920213