Average Error: 0.0 → 0.0
Time: 10.0s
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 r123167 = x;
        double r123168 = y;
        double r123169 = r123167 - r123168;
        double r123170 = fabs(r123169);
        double r123171 = fabs(r123168);
        double r123172 = r123170 / r123171;
        return r123172;
}
↓
double f(double x, double y) {
        double r123173 = x;
        double r123174 = y;
        double r123175 = r123173 - r123174;
        double r123176 = fabs(r123175);
        double r123177 = fabs(r123174);
        double r123178 = r123176 / r123177;
        return r123178;
}

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 2019179 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))