Average Error: 0.0 → 0.0
Time: 8.9s
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 r4079854 = x;
        double r4079855 = y;
        double r4079856 = r4079854 - r4079855;
        double r4079857 = fabs(r4079856);
        double r4079858 = fabs(r4079855);
        double r4079859 = r4079857 / r4079858;
        return r4079859;
}
↓
double f(double x, double y) {
        double r4079860 = x;
        double r4079861 = y;
        double r4079862 = r4079860 - r4079861;
        double r4079863 = fabs(r4079862);
        double r4079864 = fabs(r4079861);
        double r4079865 = r4079863 / r4079864;
        return r4079865;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))