Average Error: 0.0 → 0.0
Time: 7.9s
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 r93571 = x;
        double r93572 = y;
        double r93573 = r93571 - r93572;
        double r93574 = fabs(r93573);
        double r93575 = fabs(r93572);
        double r93576 = r93574 / r93575;
        return r93576;
}
↓
double f(double x, double y) {
        double r93577 = x;
        double r93578 = y;
        double r93579 = r93577 - r93578;
        double r93580 = fabs(r93579);
        double r93581 = fabs(r93578);
        double r93582 = r93580 / r93581;
        return r93582;
}

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 2019196 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  (/ (fabs (- x y)) (fabs y)))