Average Error: 0.0 → 0.0
Time: 9.2s
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 r7653714 = x;
        double r7653715 = y;
        double r7653716 = r7653714 - r7653715;
        double r7653717 = fabs(r7653716);
        double r7653718 = fabs(r7653715);
        double r7653719 = r7653717 / r7653718;
        return r7653719;
}
↓
double f(double x, double y) {
        double r7653720 = x;
        double r7653721 = y;
        double r7653722 = r7653720 - r7653721;
        double r7653723 = fabs(r7653722);
        double r7653724 = fabs(r7653721);
        double r7653725 = r7653723 / r7653724;
        return r7653725;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))