Average Error: 0.0 → 0.0
Time: 9.4s
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 r5129158 = x;
        double r5129159 = y;
        double r5129160 = r5129158 - r5129159;
        double r5129161 = fabs(r5129160);
        double r5129162 = fabs(r5129159);
        double r5129163 = r5129161 / r5129162;
        return r5129163;
}
↓
double f(double x, double y) {
        double r5129164 = x;
        double r5129165 = y;
        double r5129166 = r5129164 - r5129165;
        double r5129167 = fabs(r5129166);
        double r5129168 = fabs(r5129165);
        double r5129169 = r5129167 / r5129168;
        return r5129169;
}

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 2019163 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))