Average Error: 0.0 → 0.0
Time: 20.7s
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 r93052 = x;
        double r93053 = y;
        double r93054 = r93052 - r93053;
        double r93055 = fabs(r93054);
        double r93056 = fabs(r93053);
        double r93057 = r93055 / r93056;
        return r93057;
}
↓
double f(double x, double y) {
        double r93058 = x;
        double r93059 = y;
        double r93060 = r93058 - r93059;
        double r93061 = fabs(r93060);
        double r93062 = fabs(r93059);
        double r93063 = r93061 / r93062;
        return r93063;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))