Average Error: 0.0 → 0.0
Time: 1.1s
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 r118669 = x;
        double r118670 = y;
        double r118671 = r118669 - r118670;
        double r118672 = fabs(r118671);
        double r118673 = fabs(r118670);
        double r118674 = r118672 / r118673;
        return r118674;
}
↓
double f(double x, double y) {
        double r118675 = x;
        double r118676 = y;
        double r118677 = r118675 - r118676;
        double r118678 = fabs(r118677);
        double r118679 = fabs(r118676);
        double r118680 = r118678 / r118679;
        return r118680;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))