Average Error: 0.0 → 0.0
Time: 8.4s
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 r79714 = x;
        double r79715 = y;
        double r79716 = r79714 - r79715;
        double r79717 = fabs(r79716);
        double r79718 = fabs(r79715);
        double r79719 = r79717 / r79718;
        return r79719;
}
↓
double f(double x, double y) {
        double r79720 = x;
        double r79721 = y;
        double r79722 = r79720 - r79721;
        double r79723 = fabs(r79722);
        double r79724 = fabs(r79721);
        double r79725 = r79723 / r79724;
        return r79725;
}

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 2019212 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))