Error

Derivation

1. Initial program 15.3

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

3. Applied div-inv15.3

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

4. Applied cbrt-prod0.9

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

5. Taylor expanded around -inf 62.8

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

6. Applied simplify0.8

   \[\leadsto \color{blue}{\left(\sqrt[3]{g} \cdot \sqrt[3]{\frac{-1}{2}}\right) \cdot \sqrt[3]{\frac{-1}{a}}}\]
7. Using strategy rm

8. Applied cbrt-unprod0.8

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

Runtime

Time bar (total: 1.5m)Debug logProfile

herbie shell --seed '#(1070100504 930361288 1279167582 284574201 1450237281 2578255382)' 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))