Average Error: 0.0 → 0.0
Time: 15.8s
Precision: 64
Internal Precision: 384
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
↓
\[\sqrt[3]{\frac{\frac{1}{x - 1}}{\left(x - 1\right) \cdot \left(x - 1\right)}} + \frac{x}{x + 1}\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

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

  3. Applied add-cbrt-cube0.0

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

  4. Applied simplify0.0

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

Runtime

Time bar (total: 15.8s)Debug logProfile

herbie shell --seed '#(1064173506 2580572819 2847706409 4129882574 1125180799 1845288547)' +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))