Average Error: 0.0 → 0.0
Time: 7.8s
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 r78835 = x;
        double r78836 = y;
        double r78837 = r78835 - r78836;
        double r78838 = fabs(r78837);
        double r78839 = fabs(r78836);
        double r78840 = r78838 / r78839;
        return r78840;
}
↓
double f(double x, double y) {
        double r78841 = x;
        double r78842 = y;
        double r78843 = r78841 - r78842;
        double r78844 = fabs(r78843);
        double r78845 = fabs(r78842);
        double r78846 = r78844 / r78845;
        return r78846;
}

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 2019196 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))