Average Error: 0.0 → 0.0
Time: 1.7s
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 r127335 = x;
        double r127336 = y;
        double r127337 = r127335 - r127336;
        double r127338 = fabs(r127337);
        double r127339 = fabs(r127336);
        double r127340 = r127338 / r127339;
        return r127340;
}
↓
double f(double x, double y) {
        double r127341 = x;
        double r127342 = y;
        double r127343 = r127341 - r127342;
        double r127344 = fabs(r127343);
        double r127345 = fabs(r127342);
        double r127346 = r127344 / r127345;
        return r127346;
}

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 2020049 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))