Average Error: 0.0 → 0.0
Time: 1.7s
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 r117077 = x;
        double r117078 = y;
        double r117079 = r117077 - r117078;
        double r117080 = fabs(r117079);
        double r117081 = fabs(r117078);
        double r117082 = r117080 / r117081;
        return r117082;
}
↓
double f(double x, double y) {
        double r117083 = x;
        double r117084 = y;
        double r117085 = r117083 - r117084;
        double r117086 = fabs(r117085);
        double r117087 = fabs(r117084);
        double r117088 = r117086 / r117087;
        return r117088;
}

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 2020062 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))