Average Error: 0.0 → 0.0
Time: 2.2s
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 r95215 = x;
        double r95216 = y;
        double r95217 = r95215 - r95216;
        double r95218 = fabs(r95217);
        double r95219 = fabs(r95216);
        double r95220 = r95218 / r95219;
        return r95220;
}
↓
double f(double x, double y) {
        double r95221 = x;
        double r95222 = y;
        double r95223 = r95221 - r95222;
        double r95224 = fabs(r95223);
        double r95225 = fabs(r95222);
        double r95226 = r95224 / r95225;
        return r95226;
}

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 2020001 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))