Details

Time bar (total: 2.4s)

sample537.0ms

Algorithm
intervals
Results
312.0ms256×body80valid
72.0ms71×body1280valid
67.0ms45×body640valid
9.0ms14×body320valid
5.0msbody2560valid
3.0msbody160valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
01937
13137
25336
38236
420136
582936
done500036

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.9b

localize72.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (atan2 x.im x.re) y.im)
27.7b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
27.7b
(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)))

rewrite95.0ms

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-+
sin-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 56
Calls
4 calls:
15.0ms
(* (atan2 x.im x.re) y.im)
17.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
16.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
42.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series16.0ms