(- (exp (pow x (- 3))) 1)

Average Error: 13.2 → 13.2

Time: 1.6s

Precision: binary64

Math

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 13.2

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

2. Final simplification 13.2

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

Reproduce

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