Average Error: 0.0 → 0.0
Time: 20.2s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[x + \left(\frac{y}{z} - \frac{x}{z}\right)\]
x + \frac{y - x}{z}
↓
x + \left(\frac{y}{z} - \frac{x}{z}\right)
double f(double x, double y, double z) {
        double r5029362 = x;
        double r5029363 = y;
        double r5029364 = r5029363 - r5029362;
        double r5029365 = z;
        double r5029366 = r5029364 / r5029365;
        double r5029367 = r5029362 + r5029366;
        return r5029367;
}
↓
double f(double x, double y, double z) {
        double r5029368 = x;
        double r5029369 = y;
        double r5029370 = z;
        double r5029371 = r5029369 / r5029370;
        double r5029372 = r5029368 / r5029370;
        double r5029373 = r5029371 - r5029372;
        double r5029374 = r5029368 + r5029373;
        return r5029374;
}

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

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

Reproduce

herbie shell --seed 2019173 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))