Average Error: 0.0 → 0.0
Time: 2.1s
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 r93500 = x;
        double r93501 = y;
        double r93502 = r93500 - r93501;
        double r93503 = fabs(r93502);
        double r93504 = fabs(r93501);
        double r93505 = r93503 / r93504;
        return r93505;
}
↓
double f(double x, double y) {
        double r93506 = x;
        double r93507 = y;
        double r93508 = r93506 - r93507;
        double r93509 = fabs(r93508);
        double r93510 = fabs(r93507);
        double r93511 = r93509 / r93510;
        return r93511;
}

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 2020025 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))