Average Error: 0.0 → 0.0
Time: 2.4s
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 r906 = x;
        double r907 = y;
        double r908 = r907 - r906;
        double r909 = z;
        double r910 = r908 / r909;
        double r911 = r906 + r910;
        return r911;
}
↓
double f(double x, double y, double z) {
        double r912 = x;
        double r913 = y;
        double r914 = r913 - r912;
        double r915 = z;
        double r916 = r914 / r915;
        double r917 = r912 + r916;
        return r917;
}

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)))