Average Error: 0.0 → 0.0
Time: 15.8s
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 r33811 = x;
        double r33812 = y;
        double r33813 = r33811 - r33812;
        double r33814 = fabs(r33813);
        double r33815 = fabs(r33812);
        double r33816 = r33814 / r33815;
        return r33816;
}
↓
double f(double x, double y) {
        double r33817 = x;
        double r33818 = y;
        double r33819 = r33817 - r33818;
        double r33820 = fabs(r33819);
        double r33821 = fabs(r33818);
        double r33822 = r33820 / r33821;
        return r33822;
}

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 2020045 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))