Average Error: 0.0 → 0.0
Time: 2.2s
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 r101480 = x;
        double r101481 = y;
        double r101482 = r101480 - r101481;
        double r101483 = fabs(r101482);
        double r101484 = fabs(r101481);
        double r101485 = r101483 / r101484;
        return r101485;
}
↓
double f(double x, double y) {
        double r101486 = x;
        double r101487 = y;
        double r101488 = r101486 - r101487;
        double r101489 = fabs(r101488);
        double r101490 = fabs(r101487);
        double r101491 = r101489 / r101490;
        return r101491;
}

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 2019353 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))