Average Error: 0.0 → 0.0
Time: 37.1s
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 r164672 = x;
        double r164673 = y;
        double r164674 = r164672 - r164673;
        double r164675 = fabs(r164674);
        double r164676 = fabs(r164673);
        double r164677 = r164675 / r164676;
        return r164677;
}
↓
double f(double x, double y) {
        double r164678 = x;
        double r164679 = y;
        double r164680 = r164678 - r164679;
        double r164681 = fabs(r164680);
        double r164682 = fabs(r164679);
        double r164683 = r164681 / r164682;
        return r164683;
}

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 2019198 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))