Error

Derivation

1. Initial program 0.1

   \[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]
2. Using strategy rm

3. Applied add-sqr-sqrt0.2

   \[\leadsto \frac{e \cdot \sin v}{\color{blue}{\sqrt{1 + e \cdot \cos v} \cdot \sqrt{1 + e \cdot \cos v}}}\]

4. Applied associate-/r*0.2

   \[\leadsto \color{blue}{\frac{\frac{e \cdot \sin v}{\sqrt{1 + e \cdot \cos v}}}{\sqrt{1 + e \cdot \cos v}}}\]

5. Simplified0.2

   \[\leadsto \frac{\frac{e \cdot \sin v}{\sqrt{1 + e \cdot \cos v}}}{\color{blue}{\sqrt{(e \cdot \left(\cos v\right) + 1)_*}}}\]

6. Final simplification0.2

   \[\leadsto \frac{\frac{e \cdot \sin v}{\sqrt{\cos v \cdot e + 1}}}{\sqrt{(e \cdot \left(\cos v\right) + 1)_*}}\]

Runtime

Time bar (total: 34.1s)Debug logProfile

herbie shell --seed 2018351 +o rules:numerics
(FPCore (e v)
  :name "Trigonometry A"
  :pre (<= 0 e 1)
  (/ (* e (sin v)) (+ 1 (* e (cos v)))))