Average Error: 38.8 → 0.0
Time: 4.5s
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 38.8

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

  2. Applied simplify0.0

    \[\leadsto \color{blue}{\left(2 + x\right) \cdot x}\]
  3. Removed slow pow expressions.

Runtime

Time bar (total: 4.5s)Debug logProfile

herbie shell --seed '#(1064015261 1633385882 1897860400 2826388462 3691363098 2536607743)' 
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))