Average Error: 0.0 → 0.0
Time: 11.9s
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 r17685 = x;
        double r17686 = y;
        double r17687 = r17686 - r17685;
        double r17688 = z;
        double r17689 = r17687 / r17688;
        double r17690 = r17685 + r17689;
        return r17690;
}
↓
double f(double x, double y, double z) {
        double r17691 = x;
        double r17692 = y;
        double r17693 = r17692 - r17691;
        double r17694 = z;
        double r17695 = r17693 / r17694;
        double r17696 = r17691 + r17695;
        return r17696;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x + \frac{y - x}{z}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{y - x}{z} + x}\]

  3. Final simplification0.0

    \[\leadsto x + \frac{y - x}{z}\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))