Average Error: 0.0 → 0.0
Time: 1.0s
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 r129136 = x;
        double r129137 = y;
        double r129138 = r129136 - r129137;
        double r129139 = fabs(r129138);
        double r129140 = fabs(r129137);
        double r129141 = r129139 / r129140;
        return r129141;
}
↓
double f(double x, double y) {
        double r129142 = x;
        double r129143 = y;
        double r129144 = r129142 - r129143;
        double r129145 = fabs(r129144);
        double r129146 = fabs(r129143);
        double r129147 = r129145 / r129146;
        return r129147;
}

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 2019347 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))