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 clear-num0.2

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

6. Applied *-un-lft-identity0.2

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

7. Applied *-un-lft-identity0.2

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

8. Applied distribute-lft-out--0.2

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

9. Simplified0.1

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

10. Final simplification0.1

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

Reproduce

herbie shell --seed 2019068 
(FPCore (B x)
  :name "VandenBroeck and Keller, Equation (24)"
  (+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B))))