Average Error: 0.0 → 0.0
Time: 749.0ms
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 r4908 = x;
        double r4909 = y;
        double r4910 = r4909 - r4908;
        double r4911 = z;
        double r4912 = r4910 / r4911;
        double r4913 = r4908 + r4912;
        return r4913;
}
↓
double f(double x, double y, double z) {
        double r4914 = x;
        double r4915 = y;
        double r4916 = r4915 - r4914;
        double r4917 = z;
        double r4918 = r4916 / r4917;
        double r4919 = r4914 + r4918;
        return r4919;
}

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 2020046 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))