Average Error: 0.0 → 0.0
Time: 11.8s
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 r13656 = x;
        double r13657 = y;
        double r13658 = r13657 - r13656;
        double r13659 = z;
        double r13660 = r13658 / r13659;
        double r13661 = r13656 + r13660;
        return r13661;
}
↓
double f(double x, double y, double z) {
        double r13662 = x;
        double r13663 = y;
        double r13664 = r13663 - r13662;
        double r13665 = z;
        double r13666 = r13664 / r13665;
        double r13667 = r13662 + r13666;
        return r13667;
}

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 2019174 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))