Average Error: 0.0 → 0.0
Time: 12.9s
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 r758570 = x;
        double r758571 = y;
        double r758572 = r758571 - r758570;
        double r758573 = z;
        double r758574 = r758572 / r758573;
        double r758575 = r758570 + r758574;
        return r758575;
}
↓
double f(double x, double y, double z) {
        double r758576 = y;
        double r758577 = z;
        double r758578 = r758576 / r758577;
        double r758579 = x;
        double r758580 = r758579 / r758577;
        double r758581 = r758578 - r758580;
        double r758582 = r758581 + r758579;
        return r758582;
}

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 2019164 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))