Error

Derivation

1. Initial program 1.0

   \[\frac{4}{\left(\left(3 \cdot \pi\right) \cdot \left(1 - v \cdot v\right)\right) \cdot \sqrt{2 - 6 \cdot \left(v \cdot v\right)}}\]

2. Initial simplification0.0

   \[\leadsto \frac{\frac{\frac{\frac{4}{3}}{\pi}}{1 - v \cdot v}}{\sqrt{(-6 \cdot \left(v \cdot v\right) + 2)_*}}\]
3. Using strategy rm

4. Applied associate-/l/0.0

   \[\leadsto \color{blue}{\frac{\frac{\frac{4}{3}}{\pi}}{\sqrt{(-6 \cdot \left(v \cdot v\right) + 2)_*} \cdot \left(1 - v \cdot v\right)}}\]

5. Final simplification0.0

   \[\leadsto \frac{\frac{\frac{4}{3}}{\pi}}{\sqrt{(-6 \cdot \left(v \cdot v\right) + 2)_*} \cdot \left(1 - v \cdot v\right)}\]

Runtime

Time bar (total: 1.3m)Debug logProfile

herbie shell --seed 2018340 +o rules:numerics
(FPCore (v)
  :name "Falkner and Boettcher, Equation (22+)"
  (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))