Average Error: 0.0 → 0.0
Time: 5.5s
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 r84655 = x;
        double r84656 = y;
        double r84657 = r84655 - r84656;
        double r84658 = fabs(r84657);
        double r84659 = fabs(r84656);
        double r84660 = r84658 / r84659;
        return r84660;
}
↓
double f(double x, double y) {
        double r84661 = x;
        double r84662 = y;
        double r84663 = r84661 - r84662;
        double r84664 = fabs(r84663);
        double r84665 = fabs(r84662);
        double r84666 = r84664 / r84665;
        return r84666;
}

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 2019208 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))