Average Error: 39.0 → 0
Time: 2.4s
Precision: 64
Internal Precision: 1408
\[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]
↓
\[(x \cdot x + \left(x + x\right))_*\]

Error

Bits error versus x

Derivation

  1. Initial program 39.0

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

  2. Applied simplify0

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

Runtime

Time bar (total: 2.4s)Debug logProfile

herbie shell --seed '#(1070833653 108281690 3330367898 3632331308 3494323072 43156186)' +o rules:numerics
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))