Average Error: 0.0 → 0.0
Time: 2.8s
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 r95156 = x;
        double r95157 = y;
        double r95158 = r95156 - r95157;
        double r95159 = fabs(r95158);
        double r95160 = fabs(r95157);
        double r95161 = r95159 / r95160;
        return r95161;
}
↓
double f(double x, double y) {
        double r95162 = x;
        double r95163 = y;
        double r95164 = r95162 - r95163;
        double r95165 = fabs(r95164);
        double r95166 = fabs(r95163);
        double r95167 = r95165 / r95166;
        return r95167;
}

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 2019352 +o rules:numerics
(FPCore (x y)
  :name "Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5"
  :precision binary64
  (/ (fabs (- x y)) (fabs y)))