Average Error: 0.0 → 0.0
Time: 16.7s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[x + \frac{y - x}{z}\]
x + \frac{y - x}{z}
↓
x + \frac{y - x}{z}
double f(double x, double y, double z) {
        double r955774 = x;
        double r955775 = y;
        double r955776 = r955775 - r955774;
        double r955777 = z;
        double r955778 = r955776 / r955777;
        double r955779 = r955774 + r955778;
        return r955779;
}
↓
double f(double x, double y, double z) {
        double r955780 = x;
        double r955781 = y;
        double r955782 = r955781 - r955780;
        double r955783 = z;
        double r955784 = r955782 / r955783;
        double r955785 = r955780 + r955784;
        return r955785;
}

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 +-commutative0.0

    \[\leadsto \color{blue}{\frac{y - x}{z} + x}\]

  4. Final simplification0.0

    \[\leadsto x + \frac{y - x}{z}\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))