Average Error: 0.0 → 0.0
Time: 9.5s
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 r123554 = x;
        double r123555 = y;
        double r123556 = r123554 - r123555;
        double r123557 = fabs(r123556);
        double r123558 = fabs(r123555);
        double r123559 = r123557 / r123558;
        return r123559;
}
↓
double f(double x, double y) {
        double r123560 = x;
        double r123561 = y;
        double r123562 = r123560 - r123561;
        double r123563 = fabs(r123562);
        double r123564 = fabs(r123561);
        double r123565 = r123563 / r123564;
        return r123565;
}

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 2019351 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))