Average Error: 0.0 → 0.0
Time: 19.1s
Precision: 64
\[\frac{\left|x - y\right|}{\left|y\right|}\]
↓
\[\frac{\left|x - y\right|}{\left|y\right|}\]
\frac{\left|x - y\right|}{\left|y\right|}
↓
\frac{\left|x - y\right|}{\left|y\right|}
double f(double x, double y) {
        double r105813 = x;
        double r105814 = y;
        double r105815 = r105813 - r105814;
        double r105816 = fabs(r105815);
        double r105817 = fabs(r105814);
        double r105818 = r105816 / r105817;
        return r105818;
}
↓
double f(double x, double y) {
        double r105819 = x;
        double r105820 = y;
        double r105821 = r105819 - r105820;
        double r105822 = fabs(r105821);
        double r105823 = fabs(r105820);
        double r105824 = r105822 / r105823;
        return r105824;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\left|x - y\right|}{\left|y\right|}\]

  2. Final simplification0.0

    \[\leadsto \frac{\left|x - y\right|}{\left|y\right|}\]

Reproduce

herbie shell --seed 2020043 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))