Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[x + \frac{y - x}{z}\]
x + \frac{y - x}{z}
↓
x + \frac{y - x}{z}
double f(double x, double y, double z) {
        double r2830 = x;
        double r2831 = y;
        double r2832 = r2831 - r2830;
        double r2833 = z;
        double r2834 = r2832 / r2833;
        double r2835 = r2830 + r2834;
        return r2835;
}
↓
double f(double x, double y, double z) {
        double r2836 = x;
        double r2837 = y;
        double r2838 = r2837 - r2836;
        double r2839 = z;
        double r2840 = r2838 / r2839;
        double r2841 = r2836 + r2840;
        return r2841;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{y - x}{z}\]

  2. Final simplification0.0

    \[\leadsto x + \frac{y - x}{z}\]

Reproduce

herbie shell --seed 2020024 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))