(+ (pow 2.0 (- x)) (pow x (- 2.0)))

Average Error: 0.0 → 0.0

Time: 1.4s

Precision: binary64

Math

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 0.0

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

2. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (pow 2.0 (- x)) (pow x (- 2.0)))"
  :precision binary64
  (+ (pow 2.0 (neg x)) (pow x (neg 2.0))))