Average Error: 0.0 → 0
Time: 1.9s
Precision: 64
Internal Precision: 320
\[re \cdot im + im \cdot re\]
↓
\[re \cdot \left(im + im\right)\]

Error

Bits error versus re

Bits error versus im

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Applied simplify0

    \[\leadsto \color{blue}{re \cdot \left(im + im\right)}\]

Runtime

Time bar (total: 1.9s)Debug logProfile

herbie shell --seed 2018207 
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+ (* re im) (* im re)))