Average Error: 0.0 → 0.0
Time: 13.0s
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 r19917 = x;
        double r19918 = y;
        double r19919 = r19918 - r19917;
        double r19920 = z;
        double r19921 = r19919 / r19920;
        double r19922 = r19917 + r19921;
        return r19922;
}
↓
double f(double x, double y, double z) {
        double r19923 = x;
        double r19924 = y;
        double r19925 = r19924 - r19923;
        double r19926 = z;
        double r19927 = r19925 / r19926;
        double r19928 = r19923 + r19927;
        return r19928;
}

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 2019209 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))