Error

Derivation

1. Initial program 0.1

   \[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]

2. Initial simplification0.1

   \[\leadsto \frac{e \cdot \sin v}{(\left(\cos v\right) \cdot e + 1)_*}\]
3. Using strategy rm

4. Applied associate-/l*0.3

   \[\leadsto \color{blue}{\frac{e}{\frac{(\left(\cos v\right) \cdot e + 1)_*}{\sin v}}}\]
5. Using strategy rm

6. Applied associate-/r/0.1

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

7. Final simplification0.1

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

Runtime

Time bar (total: 15.8s)Debug logProfile

herbie shell --seed 2018297 +o rules:numerics
(FPCore (e v)
  :name "Trigonometry A"
  :pre (<= 0 e 1)
  (/ (* e (sin v)) (+ 1 (* e (cos v)))))