(pow x (/ (- 1) 3))

Average Error: 5.0 → 5.0

Time: 1.1s

Precision: binary64

Math

\[{x}^{\left(\frac{-1}{3}\right)}\]

↓

\[{x}^{\left(\frac{-1}{3}\right)}\]

Error

Bits error versus x

Derivation

1. Initial program 5.0

   \[{x}^{\left(\frac{-1}{3}\right)}\]

2. Final simplification 5.0

   \[\leadsto {x}^{\left(\frac{-1}{3}\right)}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(pow x (/ (- 1) 3))"
  :precision binary64
  (pow x (/ (neg 1.0) 3.0)))