Error

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Derivation

1. Initial program 13.1

   \[x + \left(\tan \left(y + z\right) - \tan a\right)\]
2. Using strategy rm

3. Applied tan-sum0.2

   \[\leadsto x + \left(\color{blue}{\frac{\tan y + \tan z}{1 - \tan y \cdot \tan z}} - \tan a\right)\]
4. Using strategy rm

5. Applied add-log-exp0.3

   \[\leadsto \color{blue}{\log \left(e^{x + \left(\frac{\tan y + \tan z}{1 - \tan y \cdot \tan z} - \tan a\right)}\right)}\]
6. Using strategy rm

7. Applied *-un-lft-identity0.3

   \[\leadsto \log \left(e^{\color{blue}{1 \cdot \left(x + \left(\frac{\tan y + \tan z}{1 - \tan y \cdot \tan z} - \tan a\right)\right)}}\right)\]

8. Applied exp-prod0.3

   \[\leadsto \log \color{blue}{\left({\left(e^{1}\right)}^{\left(x + \left(\frac{\tan y + \tan z}{1 - \tan y \cdot \tan z} - \tan a\right)\right)}\right)}\]

9. Simplified0.3

   \[\leadsto \log \left({\color{blue}{e}}^{\left(x + \left(\frac{\tan y + \tan z}{1 - \tan y \cdot \tan z} - \tan a\right)\right)}\right)\]

10. Final simplification0.3

    \[\leadsto \log \left({e}^{\left(\left(\frac{\tan y + \tan z}{1 - \tan y \cdot \tan z} - \tan a\right) + x\right)}\right)\]

Reproduce

herbie shell --seed 2018360 
(FPCore (x y z a)
  :name "(+ x (- (tan (+ y z)) (tan a)))"
  :pre (and (or (== x 0) (<= 0.5884142 x 505.5909)) (or (<= -1.796658e+308 y -9.425585e-310) (<= 1.284938e-309 y 1.751224e+308)) (or (<= -1.776707e+308 z -8.599796e-310) (<= 3.293145e-311 z 1.725154e+308)) (or (<= -1.796658e+308 a -9.425585e-310) (<= 1.284938e-309 a 1.751224e+308)))
  (+ x (- (tan (+ y z)) (tan a))))

Details

Time bar (total: 18.9s)Debug log