\[e^{re} \cdot \cos im\]
Test:
math.exp on complex, real part
Bits:
128 bits
Bits error versus re
Bits error versus im
Time: 4.7 s
Input Error: 0.0
Output Error: 0.1
Log:
Profile: 🕒
\((e^{\log_* (1 + e^{re} \cdot \cos im)} - 1)^*\)
  1. Started with
    \[e^{re} \cdot \cos im\]
    0.0
  2. Using strategy rm
    0.0
  3. Applied expm1-log1p-u to get
    \[\color{red}{e^{re} \cdot \cos im} \leadsto \color{blue}{(e^{\log_* (1 + e^{re} \cdot \cos im)} - 1)^*}\]
    0.1

  4. Removed slow pow expressions

Original test:


(lambda ((re default) (im default))
  #:name "math.exp on complex, real part"
  (* (exp re) (cos im)))