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 r107070 = x;
        double r107071 = y;
        double r107072 = r107070 - r107071;
        double r107073 = fabs(r107072);
        double r107074 = fabs(r107071);
        double r107075 = r107073 / r107074;
        return r107075;
}
↓
double f(double x, double y) {
        double r107076 = x;
        double r107077 = y;
        double r107078 = r107076 - r107077;
        double r107079 = fabs(r107078);
        double r107080 = fabs(r107077);
        double r107081 = r107079 / r107080;
        return r107081;
}

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 2020021 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))