(- (- (pow x 80) 1) (pow x 80))

Average Error: 4.0 → 0

Time: 4.2s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 2.7279434923395366e+116

Math

\[\left({x}^{80} - 1\right) - {x}^{80}\]

↓

\[-1\]

Error

Bits error versus x

Derivation

1. Initial program 4.0

   \[\left({x}^{80} - 1\right) - {x}^{80}\]

2. Simplified 0

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

3. Final simplification 0

   \[\leadsto -1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (- (pow x 80) 1) (pow x 80))"
  :precision binary64
  (- (- (pow x 80.0) 1.0) (pow x 80.0)))