Average Error: 0.0 → 0.0
Time: 12.5s
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 r199049 = x;
        double r199050 = y;
        double r199051 = r199049 - r199050;
        double r199052 = fabs(r199051);
        double r199053 = fabs(r199050);
        double r199054 = r199052 / r199053;
        return r199054;
}
↓
double f(double x, double y) {
        double r199055 = x;
        double r199056 = y;
        double r199057 = r199055 - r199056;
        double r199058 = fabs(r199057);
        double r199059 = fabs(r199056);
        double r199060 = r199058 / r199059;
        return r199060;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))