Average Error: 0.0 → 0.0
Time: 10.6s
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 r627038 = x;
        double r627039 = y;
        double r627040 = r627039 - r627038;
        double r627041 = z;
        double r627042 = r627040 / r627041;
        double r627043 = r627038 + r627042;
        return r627043;
}
↓
double f(double x, double y, double z) {
        double r627044 = y;
        double r627045 = z;
        double r627046 = r627044 / r627045;
        double r627047 = x;
        double r627048 = r627047 / r627045;
        double r627049 = r627046 - r627048;
        double r627050 = r627049 + r627047;
        return r627050;
}

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 2019179 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))