Average Error: 0.0 → 0.0
Time: 2.5s
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 r99135 = x;
        double r99136 = y;
        double r99137 = r99135 - r99136;
        double r99138 = fabs(r99137);
        double r99139 = fabs(r99136);
        double r99140 = r99138 / r99139;
        return r99140;
}
↓
double f(double x, double y) {
        double r99141 = x;
        double r99142 = y;
        double r99143 = r99141 - r99142;
        double r99144 = fabs(r99143);
        double r99145 = fabs(r99142);
        double r99146 = r99144 / r99145;
        return r99146;
}

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 1978988140 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))