Average Error: 0.0 → 0.0
Time: 5.3s
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 r104848 = x;
        double r104849 = y;
        double r104850 = r104848 - r104849;
        double r104851 = fabs(r104850);
        double r104852 = fabs(r104849);
        double r104853 = r104851 / r104852;
        return r104853;
}
↓
double f(double x, double y) {
        double r104854 = x;
        double r104855 = y;
        double r104856 = r104854 - r104855;
        double r104857 = fabs(r104856);
        double r104858 = fabs(r104855);
        double r104859 = r104857 / r104858;
        return r104859;
}

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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))