Average Error: 0.0 → 0.0
Time: 1.6s
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 r7907 = x;
        double r7908 = y;
        double r7909 = r7908 - r7907;
        double r7910 = z;
        double r7911 = r7909 / r7910;
        double r7912 = r7907 + r7911;
        return r7912;
}
↓
double f(double x, double y, double z) {
        double r7913 = x;
        double r7914 = y;
        double r7915 = r7914 - r7913;
        double r7916 = z;
        double r7917 = r7915 / r7916;
        double r7918 = r7913 + r7917;
        return r7918;
}

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 2020083 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))