Average Error: 0.0 → 0.0
Time: 14.7s
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 r5170076 = x;
        double r5170077 = y;
        double r5170078 = r5170076 - r5170077;
        double r5170079 = fabs(r5170078);
        double r5170080 = fabs(r5170077);
        double r5170081 = r5170079 / r5170080;
        return r5170081;
}
↓
double f(double x, double y) {
        double r5170082 = x;
        double r5170083 = y;
        double r5170084 = r5170082 - r5170083;
        double r5170085 = fabs(r5170084);
        double r5170086 = fabs(r5170083);
        double r5170087 = r5170085 / r5170086;
        return r5170087;
}

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 2019192 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))