(- (- (pow x 2) 1) (pow x 2))

Average Error: 30.9 → 0

Time: 1.9s

Precision: binary64

Math

\[\left({x}^{2} - 1\right) - {x}^{2}\]

↓

\[-1\]

Error

Bits error versus x

Derivation

1. Initial program 30.9

   \[\left({x}^{2} - 1\right) - {x}^{2}\]

2. Simplified 0

   \[\leadsto \color{blue}{-1}\]

3. Final simplification 0

   \[\leadsto -1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (- (pow x 2) 1) (pow x 2))"
  :precision binary64
  (- (- (pow x 2.0) 1.0) (pow x 2.0)))