(/ (- 1 (exp (* (- y) z))) y)

Average Error: 39.4 → 39.4

Time: 2.0s

Precision: binary64

Math

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

↓

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

Error

Bits error versus y

Bits error versus z

Derivation

1. Initial program 39.4

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

2. Final simplification 39.4

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

Reproduce

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