Average Error: 38.9 → 0.0
Time: 1.5s
Precision: 64
Internal Precision: 1344
\[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]
↓
\[x \cdot x + \left(x + x\right)\]

Error

Bits error versus x

Derivation

  1. Initial program 38.9

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

  2. Applied simplify0.0

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

Runtime

Time bar (total: 1.5s)Debug logProfile

herbie shell --seed '#(1072107073 2127697367 3936270018 2300570620 2134894798 4023771849)' 
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))