Average Error: 0.0 → 0.0
Time: 1.1s
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 r126684 = x;
        double r126685 = y;
        double r126686 = r126684 - r126685;
        double r126687 = fabs(r126686);
        double r126688 = fabs(r126685);
        double r126689 = r126687 / r126688;
        return r126689;
}
↓
double f(double x, double y) {
        double r126690 = x;
        double r126691 = y;
        double r126692 = r126690 - r126691;
        double r126693 = fabs(r126692);
        double r126694 = fabs(r126691);
        double r126695 = r126693 / r126694;
        return r126695;
}

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 2019356 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))