\[\tan^{-1}_* \frac{im}{re}\]
Test:
math.log/1 on complex, imaginary part
Bits:
128 bits
Bits error versus re
Bits error versus im
Time: 2.6 s
Input Error: 0.2
Output Error: 0.9
Log: ⚲
Profile: 🕒
\({\left(\sqrt[3]{\tan^{-1}_* \frac{im}{re}}\right)}^3\)
  1. Started with
    \[\tan^{-1}_* \frac{im}{re}\]
    0.2
  2. Using strategy rm
    0.2
  3. Applied add-cube-cbrt to get
    \[\color{red}{\tan^{-1}_* \frac{im}{re}} \leadsto \color{blue}{{\left(\sqrt[3]{\tan^{-1}_* \frac{im}{re}}\right)}^3}\]
    0.9
  4. Removed slow pow expressions

Original test:


(lambda ((re default) (im default))
  #:name "math.log/1 on complex, imaginary part"
  (atan2 im re))