Error

Derivation

1. Initial program 34.7

   \[\left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right)\]
2. Using strategy rm

3. Applied expm1-log1p-u34.7

   \[\leadsto \color{blue}{(e^{\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))} - 1)^*}\]
4. Using strategy rm

5. Applied add-exp-log34.7

   \[\leadsto (e^{\color{blue}{e^{\log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right)}}} - 1)^*\]
6. Using strategy rm

7. Applied add-cbrt-cube34.7

   \[\leadsto (e^{e^{\color{blue}{\sqrt[3]{\left(\log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right) \cdot \log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right)\right) \cdot \log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right)}}}} - 1)^*\]

8. Final simplification34.7

   \[\leadsto (e^{e^{\sqrt[3]{\left(\log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right) \cdot \log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right)\right) \cdot \log \left(\log_* (1 + \left(\left(\cosh c\right) \bmod \left(\log_* (1 + a)\right)\right))\right)}}} - 1)^*\]

Reproduce

herbie shell --seed 2019002 +o rules:numerics
(FPCore (a c)
  :name "Random Jason Timeout Test 004"
  (fmod (cosh c) (log1p a)))

Details

Time bar (total: 28.5s)Debug log