Details

Time bar (total: 2.0s)

sample264.0ms

Algorithm
intervals
Results
107.0ms71×body1280valid
36.0ms256×body80valid
31.0ms45×body640valid
9.0ms14×body320valid
4.0msbody2560valid
4.0msbody160valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
01937
13526
26325
39625
421525
584325
done500025

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log (hypot x.re x.im)) y.im (* (atan2 x.im x.re) y.re))
0.9b
(* (atan2 x.im x.re) y.re)
2.2b
(* (atan2 x.im x.re) y.im)
32.4b
(sin (fma (log (hypot x.re x.im)) y.im (* (atan2 x.im x.re) y.re)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
sin-sum
Counts
4 → 60
Calls
4 calls:
1.0ms
(fma (log (hypot x.re x.im)) y.im (* (atan2 x.im x.re) y.re))
7.0ms
(* (atan2 x.im x.re) y.re)
8.0ms
(* (atan2 x.im x.re) y.im)
5.0ms
(sin (fma (log (hypot x.re x.im)) y.im (* (atan2 x.im x.re) y.re)))

series14.0ms