Average Error: 0.0 → 0.0
Time: 2.5s
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 r98069 = x;
        double r98070 = y;
        double r98071 = r98069 - r98070;
        double r98072 = fabs(r98071);
        double r98073 = fabs(r98070);
        double r98074 = r98072 / r98073;
        return r98074;
}
↓
double f(double x, double y) {
        double r98075 = x;
        double r98076 = y;
        double r98077 = r98075 - r98076;
        double r98078 = fabs(r98077);
        double r98079 = fabs(r98076);
        double r98080 = r98078 / r98079;
        return r98080;
}

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