Error

Target

Derivation

1. Initial program 30.4

   \[\frac{1 - \cos x}{\sin x}\]
2. Using strategy rm

3. Applied flip-- 30.6

   \[\leadsto \frac{\color{blue}{\frac{{1}^2 - {\left(\cos x\right)}^2}{1 + \cos x}}}{\sin x}\]

4. Applied simplify 14.9

   \[\leadsto \frac{\frac{\color{blue}{\sin x \cdot \sin x}}{1 + \cos x}}{\sin x}\]
5. Using strategy rm

6. Applied *-un-lft-identity 14.9

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

7. Applied *-un-lft-identity 14.9

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

8. Applied times-frac 14.9

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

9. Applied simplify 14.9

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

10. Applied simplify 0.5

    \[\leadsto 1 \cdot \color{blue}{\frac{\sin x}{\cos x + 1}}\]
11. Removed slow pow expressions

Runtime

Total time: 1.5m Debug log

Please include this information when filing a bug report:

herbie --seed '#(3877849499 3979860042 712122559 2635576472 870222761 204441457)'
(FPCore (x)
  :name "NMSE example 3.4"
  :herbie-expected 1

  :target
  (tan (/ x 2))

  (/ (- 1 (cos x)) (sin x)))