Average Error: 0.0 → 0.0
Time: 448.0ms
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 r92155 = x;
        double r92156 = y;
        double r92157 = r92155 - r92156;
        double r92158 = fabs(r92157);
        double r92159 = fabs(r92156);
        double r92160 = r92158 / r92159;
        return r92160;
}
↓
double f(double x, double y) {
        double r92161 = x;
        double r92162 = y;
        double r92163 = r92161 - r92162;
        double r92164 = fabs(r92163);
        double r92165 = fabs(r92162);
        double r92166 = r92164 / r92165;
        return r92166;
}

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 2020027 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))