Average Error: 29.5 → 29.5
Time: 1.6s
Precision: binary64
\[e^{\left(-\gamma\right) \cdot x} - 1\]
↓
\[e^{\left(-\gamma\right) \cdot x} - 1\]

Error

Bits error versus gamma

Bits error versus x

Derivation

  1. Initial program 29.5

    \[e^{\left(-\gamma\right) \cdot x} - 1\]

  2. Final simplification29.5

    \[\leadsto e^{\left(-\gamma\right) \cdot x} - 1\]

Reproduce

herbie shell --seed 2020152 
(FPCore (gamma x)
  :name "(- (exp (* (- gamma) x)) 1)"
  :precision binary64
  (- (exp (* (neg gamma) x)) 1.0))