Average Error: 0.0 → 0.0
Time: 2.2s
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 r95489 = x;
        double r95490 = y;
        double r95491 = r95489 - r95490;
        double r95492 = fabs(r95491);
        double r95493 = fabs(r95490);
        double r95494 = r95492 / r95493;
        return r95494;
}
↓
double f(double x, double y) {
        double r95495 = x;
        double r95496 = y;
        double r95497 = r95495 - r95496;
        double r95498 = fabs(r95497);
        double r95499 = fabs(r95496);
        double r95500 = r95498 / r95499;
        return r95500;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))