Average Error: 0.0 → 0.0
Time: 25.2s
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 r4865168 = x;
        double r4865169 = y;
        double r4865170 = r4865168 - r4865169;
        double r4865171 = fabs(r4865170);
        double r4865172 = fabs(r4865169);
        double r4865173 = r4865171 / r4865172;
        return r4865173;
}
↓
double f(double x, double y) {
        double r4865174 = x;
        double r4865175 = y;
        double r4865176 = r4865174 - r4865175;
        double r4865177 = fabs(r4865176);
        double r4865178 = fabs(r4865175);
        double r4865179 = r4865177 / r4865178;
        return r4865179;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))