Average Error: 0.0 → 0.0
Time: 6.3s
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 r74521 = x;
        double r74522 = y;
        double r74523 = r74521 - r74522;
        double r74524 = fabs(r74523);
        double r74525 = fabs(r74522);
        double r74526 = r74524 / r74525;
        return r74526;
}

double f(double x, double y) {
        double r74527 = x;
        double r74528 = y;
        double r74529 = r74527 - r74528;
        double r74530 = fabs(r74529);
        double r74531 = fabs(r74528);
        double r74532 = r74530 / r74531;
        return r74532;
}

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 2019291 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))