(/ 1 (+ 1 (pow e (- z))))

Average Error: 0.0 → 0.0

Time: 1.1s

Precision: binary64

Math

\[\frac{1}{1 + {e}^{\left(-z\right)}}\]

↓

\[\frac{1}{1 + {e}^{\left(-z\right)}}\]

Error

Bits error versus e

Bits error versus z

Derivation

1. Initial program 0.0

   \[\frac{1}{1 + {e}^{\left(-z\right)}}\]

2. Final simplification 0.0

   \[\leadsto \frac{1}{1 + {e}^{\left(-z\right)}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (e z)
  :name "(/ 1 (+ 1 (pow e (- z))))"
  :precision binary64
  (/ 1.0 (+ 1.0 (pow e (neg z)))))