Average Error: 0.0 → 0.0
Time: 11.1s
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 r492630 = x;
        double r492631 = y;
        double r492632 = r492631 - r492630;
        double r492633 = z;
        double r492634 = r492632 / r492633;
        double r492635 = r492630 + r492634;
        return r492635;
}
↓
double f(double x, double y, double z) {
        double r492636 = y;
        double r492637 = z;
        double r492638 = r492636 / r492637;
        double r492639 = x;
        double r492640 = r492639 / r492637;
        double r492641 = r492638 - r492640;
        double r492642 = r492641 + r492639;
        return r492642;
}

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