Average Error: 0.0 → 0.0
Time: 1.5s
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 r105155 = x;
        double r105156 = y;
        double r105157 = r105155 - r105156;
        double r105158 = fabs(r105157);
        double r105159 = fabs(r105156);
        double r105160 = r105158 / r105159;
        return r105160;
}
↓
double f(double x, double y) {
        double r105161 = x;
        double r105162 = y;
        double r105163 = r105161 - r105162;
        double r105164 = fabs(r105163);
        double r105165 = fabs(r105162);
        double r105166 = r105164 / r105165;
        return r105166;
}

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 2020024 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))