Error

Derivation

1. Initial program 6.7

   \[\left(x.re \cdot x.re - x.im \cdot x.im\right) \cdot x.im + \left(x.re \cdot x.im + x.im \cdot x.re\right) \cdot x.re\]

2. Applied simplify 6.7

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

3. Applied taylor 6.6

   \[\leadsto 3 \cdot \left({x.re}^2 \cdot x.im\right) - {x.im}^{3}\]

4. Taylor expanded around inf 6.6

   \[\leadsto \color{blue}{3 \cdot \left({x.re}^2 \cdot x.im\right) - {x.im}^{3}}\]
5. Using strategy rm

6. Applied square-mult 6.6

   \[\leadsto 3 \cdot \left(\color{blue}{\left(x.re \cdot x.re\right)} \cdot x.im\right) - {x.im}^{3}\]

7. Applied associate-*l* 0.2

   \[\leadsto 3 \cdot \color{blue}{\left(x.re \cdot \left(x.re \cdot x.im\right)\right)} - {x.im}^{3}\]
8. Using strategy rm

9. Applied associate-*r* 0.2

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

Runtime

Time bar (total: 8.4s) Debug logProfile

Please include this information when filing a bug report:

herbie shell --seed '#(1064524629 4159152179 2999149171 575749698 4006532819 692958815)'
(FPCore (x.re x.im)
  :name "math.cube on complex, imaginary part"
  (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))