Average Error: 0.0 → 0.0
Time: 6.4s
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 r9327 = x;
        double r9328 = y;
        double r9329 = r9328 - r9327;
        double r9330 = z;
        double r9331 = r9329 / r9330;
        double r9332 = r9327 + r9331;
        return r9332;
}
↓
double f(double x, double y, double z) {
        double r9333 = x;
        double r9334 = y;
        double r9335 = z;
        double r9336 = r9334 / r9335;
        double r9337 = r9333 / r9335;
        double r9338 = r9336 - r9337;
        double r9339 = r9333 + r9338;
        return r9339;
}

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 2019195 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))