Average Error: 39.1 → 0.0
Time: 8.6s
Precision: 64
Internal Precision: 1408
\[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]
↓
\[\left(2 + x\right) \cdot x\]

Error

Bits error versus x

Derivation

  1. Initial program 39.1

    \[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]

  2. Applied simplify0.0

    \[\leadsto \color{blue}{\left(2 + x\right) \cdot x}\]

Runtime

Time bar (total: 8.6s)Debug logProfile

herbie shell --seed '#(1064173506 2580572819 2847706409 4129882574 1125180799 1845288547)' +o rules:numerics
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))