(/ 1 (- 1 (exp (* (- n) d))))

Average Error: 25.9 → 25.9

Time: 1.8s

Precision: binary64

Math

\[\frac{1}{1 - e^{\left(-n\right) \cdot d}}\]

↓

\[\frac{1}{1 - e^{\left(-n\right) \cdot d}}\]

Error

Bits error versus n

Bits error versus d

Derivation

1. Initial program 25.9

   \[\frac{1}{1 - e^{\left(-n\right) \cdot d}}\]

2. Final simplification 25.9

   \[\leadsto \frac{1}{1 - e^{\left(-n\right) \cdot d}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (n d)
  :name "(/ 1 (- 1 (exp (* (- n) d))))"
  :precision binary64
  (/ 1.0 (- 1.0 (exp (* (neg n) d)))))