Average Error: 0.0 → 0.0
Time: 2.1s
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 r64805 = x;
        double r64806 = y;
        double r64807 = r64805 - r64806;
        double r64808 = fabs(r64807);
        double r64809 = fabs(r64806);
        double r64810 = r64808 / r64809;
        return r64810;
}
↓
double f(double x, double y) {
        double r64811 = x;
        double r64812 = y;
        double r64813 = r64811 - r64812;
        double r64814 = fabs(r64813);
        double r64815 = fabs(r64812);
        double r64816 = r64814 / r64815;
        return r64816;
}

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 2019308 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))