Average Error: 0.0 → 0.0
Time: 17.0s
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 r98599 = x;
        double r98600 = y;
        double r98601 = r98599 - r98600;
        double r98602 = fabs(r98601);
        double r98603 = fabs(r98600);
        double r98604 = r98602 / r98603;
        return r98604;
}
↓
double f(double x, double y) {
        double r98605 = x;
        double r98606 = y;
        double r98607 = r98605 - r98606;
        double r98608 = fabs(r98607);
        double r98609 = fabs(r98606);
        double r98610 = r98608 / r98609;
        return r98610;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))