Average Error: 0.0 → 0.0
Time: 8.1s
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 r87082 = x;
        double r87083 = y;
        double r87084 = r87082 - r87083;
        double r87085 = fabs(r87084);
        double r87086 = fabs(r87083);
        double r87087 = r87085 / r87086;
        return r87087;
}
↓
double f(double x, double y) {
        double r87088 = x;
        double r87089 = y;
        double r87090 = r87088 - r87089;
        double r87091 = fabs(r87090);
        double r87092 = fabs(r87089);
        double r87093 = r87091 / r87092;
        return r87093;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))