Average Error: 0.0 → 0.0
Time: 16.1s
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 r67253 = x;
        double r67254 = y;
        double r67255 = r67253 - r67254;
        double r67256 = fabs(r67255);
        double r67257 = fabs(r67254);
        double r67258 = r67256 / r67257;
        return r67258;
}
↓
double f(double x, double y) {
        double r67259 = x;
        double r67260 = y;
        double r67261 = r67259 - r67260;
        double r67262 = fabs(r67261);
        double r67263 = fabs(r67260);
        double r67264 = r67262 / r67263;
        return r67264;
}

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 2019304 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))