Average Error: 0.0 → 0.0
Time: 4.4s
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 r119328 = x;
        double r119329 = y;
        double r119330 = r119328 - r119329;
        double r119331 = fabs(r119330);
        double r119332 = fabs(r119329);
        double r119333 = r119331 / r119332;
        return r119333;
}
↓
double f(double x, double y) {
        double r119334 = x;
        double r119335 = y;
        double r119336 = r119334 - r119335;
        double r119337 = fabs(r119336);
        double r119338 = fabs(r119335);
        double r119339 = r119337 / r119338;
        return r119339;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))