Average Error: 0.0 → 0.0
Time: 29.5s
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 r4699236 = x;
        double r4699237 = y;
        double r4699238 = r4699236 - r4699237;
        double r4699239 = fabs(r4699238);
        double r4699240 = fabs(r4699237);
        double r4699241 = r4699239 / r4699240;
        return r4699241;
}
↓
double f(double x, double y) {
        double r4699242 = x;
        double r4699243 = y;
        double r4699244 = r4699242 - r4699243;
        double r4699245 = fabs(r4699244);
        double r4699246 = fabs(r4699243);
        double r4699247 = r4699245 / r4699246;
        return r4699247;
}

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 2019165 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))