Average Error: 0.0 → 0.0
Time: 40.9s
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 r110822 = x;
        double r110823 = y;
        double r110824 = r110822 - r110823;
        double r110825 = fabs(r110824);
        double r110826 = fabs(r110823);
        double r110827 = r110825 / r110826;
        return r110827;
}
↓
double f(double x, double y) {
        double r110828 = x;
        double r110829 = y;
        double r110830 = r110828 - r110829;
        double r110831 = fabs(r110830);
        double r110832 = fabs(r110829);
        double r110833 = r110831 / r110832;
        return r110833;
}

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 2019198 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))