Error

Derivation

1. Initial program 14.6

   \[\frac{1}{x + 1} - \frac{1}{x}\]

2. Initial simplification14.6

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

4. Applied frac-sub14.0

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

5. Simplified0.4

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

6. Simplified0.4

   \[\leadsto \frac{-1}{\color{blue}{(x \cdot x + x)_*}}\]

7. Final simplification0.4

   \[\leadsto \frac{-1}{(x \cdot x + x)_*}\]

Runtime

Time bar (total: 15.5s)Debug logProfile

herbie shell --seed 2018355 +o rules:numerics
(FPCore (x)
  :name "2frac (problem 3.3.1)"
  (- (/ 1 (+ x 1)) (/ 1 x)))