Average Error: 0.0 → 0.0
Time: 2.0s
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 r191215 = x;
        double r191216 = y;
        double r191217 = r191215 - r191216;
        double r191218 = fabs(r191217);
        double r191219 = fabs(r191216);
        double r191220 = r191218 / r191219;
        return r191220;
}
↓
double f(double x, double y) {
        double r191221 = x;
        double r191222 = y;
        double r191223 = r191221 - r191222;
        double r191224 = fabs(r191223);
        double r191225 = fabs(r191222);
        double r191226 = r191224 / r191225;
        return r191226;
}

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 2020100 
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))