Details

Time bar (total: 2.5s)

sample500.0ms

Algorithm
intervals
Results
270.0ms84×body1280valid
48.0ms21×body320valid
47.0ms252×body80valid
42.0ms49×body640valid
6.0msbody2560valid
4.0ms10×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
01937
13526
26325
39625
421525
584325
done500025

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (hypot x.re x.im) y.re) (exp (* (atan2 x.im x.re) y.im)))
1.8b
(* (atan2 x.im x.re) y.re)
2.3b
(* (atan2 x.im x.re) y.im)
33.4b
(sin (fma (log (hypot x.re x.im)) y.im (* (atan2 x.im x.re) y.re)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×times-frac
12×unpow-prod-down
10×add-exp-log add-cbrt-cube
pow1
associate-/l*
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
div-exp associate-/r*
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
cbrt-undiv pow-to-exp frac-2neg sin-sum pow-exp clear-num fma-udef div-inv
Counts
4 → 97
Calls
4 calls:
18.0ms
(/ (pow (hypot x.re x.im) y.re) (exp (* (atan2 x.im x.re) y.im)))
7.0ms
(* (atan2 x.im x.re) y.re)
7.0ms
(* (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)))

series8.0ms