Average Error: 0.0 → 0.0
Time: 1.0s
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 r8879 = x;
        double r8880 = y;
        double r8881 = r8880 - r8879;
        double r8882 = z;
        double r8883 = r8881 / r8882;
        double r8884 = r8879 + r8883;
        return r8884;
}
↓
double f(double x, double y, double z) {
        double r8885 = x;
        double r8886 = y;
        double r8887 = r8886 - r8885;
        double r8888 = z;
        double r8889 = r8887 / r8888;
        double r8890 = r8885 + r8889;
        return r8890;
}

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