Average Error: 0.0 → 0.2
Time: 17.0s
Precision: 64
\[x + \frac{y - x}{z}\]
↓
\[x + \frac{1}{\frac{z}{y - x}}\]
x + \frac{y - x}{z}
↓
x + \frac{1}{\frac{z}{y - x}}
double f(double x, double y, double z) {
        double r24740 = x;
        double r24741 = y;
        double r24742 = r24741 - r24740;
        double r24743 = z;
        double r24744 = r24742 / r24743;
        double r24745 = r24740 + r24744;
        return r24745;
}
↓
double f(double x, double y, double z) {
        double r24746 = x;
        double r24747 = 1.0;
        double r24748 = z;
        double r24749 = y;
        double r24750 = r24749 - r24746;
        double r24751 = r24748 / r24750;
        double r24752 = r24747 / r24751;
        double r24753 = r24746 + r24752;
        return r24753;
}

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 clear-num0.2

    \[\leadsto x + \color{blue}{\frac{1}{\frac{z}{y - x}}}\]

  4. Final simplification0.2

    \[\leadsto x + \frac{1}{\frac{z}{y - x}}\]

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))