Average Error: 0.0 → 0.0
Time: 15.1s
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 r75655 = x;
        double r75656 = y;
        double r75657 = r75655 - r75656;
        double r75658 = fabs(r75657);
        double r75659 = fabs(r75656);
        double r75660 = r75658 / r75659;
        return r75660;
}
↓
double f(double x, double y) {
        double r75661 = x;
        double r75662 = y;
        double r75663 = r75661 - r75662;
        double r75664 = fabs(r75663);
        double r75665 = fabs(r75662);
        double r75666 = r75664 / r75665;
        return r75666;
}

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 2019199 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))