Average Error: 0.0 → 0.0
Time: 4.3s
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 r145728 = x;
        double r145729 = y;
        double r145730 = r145728 - r145729;
        double r145731 = fabs(r145730);
        double r145732 = fabs(r145729);
        double r145733 = r145731 / r145732;
        return r145733;
}
↓
double f(double x, double y) {
        double r145734 = x;
        double r145735 = y;
        double r145736 = r145734 - r145735;
        double r145737 = fabs(r145736);
        double r145738 = fabs(r145735);
        double r145739 = r145737 / r145738;
        return r145739;
}

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 2020046 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))