(+ (pow u k) (pow u (- k)))

Average Error: 0.0 → 0.0

Time: 3.3s

Precision: binary64

Math

\[{u}^{k} + {u}^{\left(-k\right)}\]

↓

\[{u}^{k} + {u}^{\left(-k\right)}\]

Error

Bits error versus u

Bits error versus k

Derivation

1. Initial program 0.0

   \[{u}^{k} + {u}^{\left(-k\right)}\]

2. Final simplification 0.0

   \[\leadsto {u}^{k} + {u}^{\left(-k\right)}\]

Reproduce

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