Average Error: 0.0 → 0.0
Time: 1.4s
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 r108121 = x;
        double r108122 = y;
        double r108123 = r108121 - r108122;
        double r108124 = fabs(r108123);
        double r108125 = fabs(r108122);
        double r108126 = r108124 / r108125;
        return r108126;
}
↓
double f(double x, double y) {
        double r108127 = x;
        double r108128 = y;
        double r108129 = r108127 - r108128;
        double r108130 = fabs(r108129);
        double r108131 = fabs(r108128);
        double r108132 = r108130 / r108131;
        return r108132;
}

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 2019354 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))