Average Error: 0.0 → 0.0
Time: 24.1s
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 r875011 = x;
        double r875012 = y;
        double r875013 = r875012 - r875011;
        double r875014 = z;
        double r875015 = r875013 / r875014;
        double r875016 = r875011 + r875015;
        return r875016;
}
↓
double f(double x, double y, double z) {
        double r875017 = y;
        double r875018 = z;
        double r875019 = r875017 / r875018;
        double r875020 = x;
        double r875021 = r875020 / r875018;
        double r875022 = r875019 - r875021;
        double r875023 = r875022 + r875020;
        return r875023;
}

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 2019170 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))