Average Error: 0.0 → 0.0
Time: 15.7s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[\left(\frac{y}{z} - \frac{x}{z}\right) + x\]
x + \frac{y - x}{z}
↓
\left(\frac{y}{z} - \frac{x}{z}\right) + x
double f(double x, double y, double z) {
        double r937813 = x;
        double r937814 = y;
        double r937815 = r937814 - r937813;
        double r937816 = z;
        double r937817 = r937815 / r937816;
        double r937818 = r937813 + r937817;
        return r937818;
}
↓
double f(double x, double y, double z) {
        double r937819 = y;
        double r937820 = z;
        double r937821 = r937819 / r937820;
        double r937822 = x;
        double r937823 = r937822 / r937820;
        double r937824 = r937821 - r937823;
        double r937825 = r937824 + r937822;
        return r937825;
}

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. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto x + \color{blue}{\left(\frac{y}{z} - \frac{x}{z}\right)}\]

  4. Final simplification0.0

    \[\leadsto \left(\frac{y}{z} - \frac{x}{z}\right) + x\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))