Average Error: 0.0 → 0.0
Time: 6.5s
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 r9371 = x;
        double r9372 = y;
        double r9373 = r9372 - r9371;
        double r9374 = z;
        double r9375 = r9373 / r9374;
        double r9376 = r9371 + r9375;
        return r9376;
}
↓
double f(double x, double y, double z) {
        double r9377 = x;
        double r9378 = y;
        double r9379 = z;
        double r9380 = r9378 / r9379;
        double r9381 = r9377 / r9379;
        double r9382 = r9380 - r9381;
        double r9383 = r9377 + r9382;
        return r9383;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\frac{y - x}{z} + x}\]
  3. Using strategy rm

  4. Applied div-sub0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019196 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))