Average Error: 0.0 → 0.0
Time: 13.7s
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 r78298 = x;
        double r78299 = y;
        double r78300 = r78298 - r78299;
        double r78301 = fabs(r78300);
        double r78302 = fabs(r78299);
        double r78303 = r78301 / r78302;
        return r78303;
}
↓
double f(double x, double y) {
        double r78304 = x;
        double r78305 = y;
        double r78306 = r78304 - r78305;
        double r78307 = fabs(r78306);
        double r78308 = fabs(r78305);
        double r78309 = r78307 / r78308;
        return r78309;
}

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 2019305 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))