Average Error: 0.0 → 0.0
Time: 15.1s
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 r4424018 = x;
        double r4424019 = y;
        double r4424020 = r4424018 - r4424019;
        double r4424021 = fabs(r4424020);
        double r4424022 = fabs(r4424019);
        double r4424023 = r4424021 / r4424022;
        return r4424023;
}
↓
double f(double x, double y) {
        double r4424024 = x;
        double r4424025 = y;
        double r4424026 = r4424024 - r4424025;
        double r4424027 = fabs(r4424026);
        double r4424028 = fabs(r4424025);
        double r4424029 = r4424027 / r4424028;
        return r4424029;
}

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 2019158 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))