Average Error: 0.0 → 0.0
Time: 1.6s
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 r174866 = x;
        double r174867 = y;
        double r174868 = r174866 - r174867;
        double r174869 = fabs(r174868);
        double r174870 = fabs(r174867);
        double r174871 = r174869 / r174870;
        return r174871;
}
↓
double f(double x, double y) {
        double r174872 = x;
        double r174873 = y;
        double r174874 = r174872 - r174873;
        double r174875 = fabs(r174874);
        double r174876 = fabs(r174873);
        double r174877 = r174875 / r174876;
        return r174877;
}

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 2020065 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))