Average Error: 0.0 → 0.0
Time: 13.2s
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 r98047 = x;
        double r98048 = y;
        double r98049 = r98047 - r98048;
        double r98050 = fabs(r98049);
        double r98051 = fabs(r98048);
        double r98052 = r98050 / r98051;
        return r98052;
}
↓
double f(double x, double y) {
        double r98053 = x;
        double r98054 = y;
        double r98055 = r98053 - r98054;
        double r98056 = fabs(r98055);
        double r98057 = fabs(r98054);
        double r98058 = r98056 / r98057;
        return r98058;
}

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 2019326 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))