Average Error: 0.0 → 0.0
Time: 6.1s
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 r119685 = x;
        double r119686 = y;
        double r119687 = r119685 - r119686;
        double r119688 = fabs(r119687);
        double r119689 = fabs(r119686);
        double r119690 = r119688 / r119689;
        return r119690;
}
↓
double f(double x, double y) {
        double r119691 = x;
        double r119692 = y;
        double r119693 = r119691 - r119692;
        double r119694 = fabs(r119693);
        double r119695 = fabs(r119692);
        double r119696 = r119694 / r119695;
        return r119696;
}

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 2020047 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))