Average Error: 0.0 → 0.0
Time: 656.0ms
Precision: binary64
\[\frac{a}{b + \varepsilon}\]
↓
\[\frac{a}{b + \varepsilon}\]
\frac{a}{b + \varepsilon}
↓
\frac{a}{b + \varepsilon}
double code(double a, double b, double eps) {
	return ((double) (a / ((double) (b + eps))));
}
↓
double code(double a, double b, double eps) {
	return ((double) (a / ((double) (b + eps))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus eps

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{a}{b + \varepsilon}\]

  2. Final simplification0.0

    \[\leadsto \frac{a}{b + \varepsilon}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b eps)
  :name "(/ a (+ b eps))"
  :precision binary64
  (/ a (+ b eps)))