Average Error: 0.0 → 0.0
Time: 15.5s
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 r90150 = x;
        double r90151 = y;
        double r90152 = r90150 - r90151;
        double r90153 = fabs(r90152);
        double r90154 = fabs(r90151);
        double r90155 = r90153 / r90154;
        return r90155;
}
↓
double f(double x, double y) {
        double r90156 = x;
        double r90157 = y;
        double r90158 = r90156 - r90157;
        double r90159 = fabs(r90158);
        double r90160 = fabs(r90157);
        double r90161 = r90159 / r90160;
        return r90161;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))