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 r8742 = x;
        double r8743 = y;
        double r8744 = r8743 - r8742;
        double r8745 = z;
        double r8746 = r8744 / r8745;
        double r8747 = r8742 + r8746;
        return r8747;
}
↓
double f(double x, double y, double z) {
        double r8748 = x;
        double r8749 = y;
        double r8750 = r8749 - r8748;
        double r8751 = z;
        double r8752 = r8750 / r8751;
        double r8753 = r8748 + r8752;
        return r8753;
}

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 2020034 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))