Average Error: 0.0 → 0.0
Time: 1.1s
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 r7783 = x;
        double r7784 = y;
        double r7785 = r7784 - r7783;
        double r7786 = z;
        double r7787 = r7785 / r7786;
        double r7788 = r7783 + r7787;
        return r7788;
}
↓
double f(double x, double y, double z) {
        double r7789 = x;
        double r7790 = y;
        double r7791 = r7790 - r7789;
        double r7792 = z;
        double r7793 = r7791 / r7792;
        double r7794 = r7789 + r7793;
        return r7794;
}

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 2020018 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))