Average Error: 0.0 → 0.0
Time: 2.6s
Precision: 64
Internal Precision: 384
\[re \cdot im + im \cdot re\]
↓
\[re \cdot \left(im + im\right)\]

Error

Bits error versus re

Bits error versus im

Derivation

  1. Initial program 0.0

    \[re \cdot im + im \cdot re\]

  2. Applied simplify0.0

    \[\leadsto \color{blue}{re \cdot \left(im + im\right)}\]
  3. Removed slow pow expressions.

Runtime

Time bar (total: 2.6s)Debug logProfile

herbie shell --seed '#(1063313015 2771194459 1594909340 1344785158 2223560818 546365448)' 
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+ (* re im) (* im re)))