Average Error: 0.0 → 0.0
Time: 1.3s
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 r124662 = x;
        double r124663 = y;
        double r124664 = r124662 - r124663;
        double r124665 = fabs(r124664);
        double r124666 = fabs(r124663);
        double r124667 = r124665 / r124666;
        return r124667;
}
↓
double f(double x, double y) {
        double r124668 = x;
        double r124669 = y;
        double r124670 = r124668 - r124669;
        double r124671 = fabs(r124670);
        double r124672 = fabs(r124669);
        double r124673 = r124671 / r124672;
        return r124673;
}

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 2020064 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))