Error

Derivation

1. Initial program 15.0

   \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
2. Using strategy rm

3. Applied *-un-lft-identity15.0

   \[\leadsto \sqrt[3]{\frac{g}{\color{blue}{\left(1 \cdot 2\right)} \cdot a}}\]

4. Applied associate-*l*15.0

   \[\leadsto \sqrt[3]{\frac{g}{\color{blue}{1 \cdot \left(2 \cdot a\right)}}}\]

5. Applied associate-/r*15.0

   \[\leadsto \sqrt[3]{\color{blue}{\frac{\frac{g}{1}}{2 \cdot a}}}\]

6. Applied cbrt-div0.8

   \[\leadsto \color{blue}{\frac{\sqrt[3]{\frac{g}{1}}}{\sqrt[3]{2 \cdot a}}}\]

7. Simplified0.8

   \[\leadsto \frac{\color{blue}{\sqrt[3]{g}}}{\sqrt[3]{2 \cdot a}}\]
8. Using strategy rm

9. Applied div-inv0.9

   \[\leadsto \color{blue}{\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{2 \cdot a}}}\]

10. Final simplification0.9

    \[\leadsto \sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{2 \cdot a}}\]

Reproduce

herbie shell --seed 2019072 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))