Error

Derivation

1. Initial program 0.2

   \[\left(-x \cdot \frac{1}{\tan B}\right) + \frac{1}{\sin B}\]

2. Simplified0.1

   \[\leadsto \color{blue}{\frac{1}{\sin B} - \frac{x}{\tan B}}\]
3. Using strategy rm

4. Applied *-un-lft-identity0.1

   \[\leadsto \frac{1}{\sin B} - \frac{\color{blue}{1 \cdot x}}{\tan B}\]

5. Applied associate-/l*0.2

   \[\leadsto \frac{1}{\sin B} - \color{blue}{\frac{1}{\frac{\tan B}{x}}}\]

6. Taylor expanded around inf 0.2

   \[\leadsto \frac{1}{\sin B} - \frac{1}{\color{blue}{\frac{\sin B}{x \cdot \cos B}}}\]
7. Using strategy rm

8. Applied div-inv0.3

   \[\leadsto \frac{1}{\sin B} - \frac{1}{\color{blue}{\sin B \cdot \frac{1}{x \cdot \cos B}}}\]

9. Final simplification0.3

   \[\leadsto \frac{1}{\sin B} - \frac{1}{\frac{1}{x \cdot \cos B} \cdot \sin B}\]

Reproduce

herbie shell --seed 2019091 
(FPCore (B x)
  :name "VandenBroeck and Keller, Equation (24)"
  (+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B))))