Average Error: 0.0 → 0.0
Time: 436.0ms
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 r98799 = x;
        double r98800 = y;
        double r98801 = r98799 - r98800;
        double r98802 = fabs(r98801);
        double r98803 = fabs(r98800);
        double r98804 = r98802 / r98803;
        return r98804;
}
↓
double f(double x, double y) {
        double r98805 = x;
        double r98806 = y;
        double r98807 = r98805 - r98806;
        double r98808 = fabs(r98807);
        double r98809 = fabs(r98806);
        double r98810 = r98808 / r98809;
        return r98810;
}

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 2020020 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))