Average Error: 0.0 → 0.0
Time: 42.6s
Precision: 64
\[-\log \left(\frac{1}{x} - 1\right)\]
\[-\log \left(\sqrt[3]{\frac{1}{x} - 1} \cdot \left(\sqrt[3]{\frac{1}{x} - 1} \cdot \sqrt[3]{\frac{1}{x} - 1}\right)\right)\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

    \[-\log \left(\frac{1}{x} - 1\right)\]
  2. Using strategy rm
  3. Applied add-cube-cbrt0.0

    \[\leadsto -\log \color{blue}{\left(\left(\sqrt[3]{\frac{1}{x} - 1} \cdot \sqrt[3]{\frac{1}{x} - 1}\right) \cdot \sqrt[3]{\frac{1}{x} - 1}\right)}\]
  4. Final simplification0.0

    \[\leadsto -\log \left(\sqrt[3]{\frac{1}{x} - 1} \cdot \left(\sqrt[3]{\frac{1}{x} - 1} \cdot \sqrt[3]{\frac{1}{x} - 1}\right)\right)\]

Reproduce

herbie shell --seed 2019100 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))