Average Error: 0.0 → 0.0
Time: 1.3s
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 r130581 = x;
        double r130582 = y;
        double r130583 = r130581 - r130582;
        double r130584 = fabs(r130583);
        double r130585 = fabs(r130582);
        double r130586 = r130584 / r130585;
        return r130586;
}
↓
double f(double x, double y) {
        double r130587 = x;
        double r130588 = y;
        double r130589 = r130587 - r130588;
        double r130590 = fabs(r130589);
        double r130591 = fabs(r130588);
        double r130592 = r130590 / r130591;
        return r130592;
}

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 2020064 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))