Average Error: 39.2 → 0.0
Time: 8.2s
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 39.2

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

  2. Applied simplify0.0

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

Runtime

Time bar (total: 8.2s)Debug logProfile

herbie shell --seed '#(1070864556 424010669 783715395 1203517814 4070606583 4107618214)' 
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))