Average Error: 0.0 → 0.0
Time: 1.9s
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 r11712 = x;
        double r11713 = y;
        double r11714 = r11713 - r11712;
        double r11715 = z;
        double r11716 = r11714 / r11715;
        double r11717 = r11712 + r11716;
        return r11717;
}
↓
double f(double x, double y, double z) {
        double r11718 = x;
        double r11719 = y;
        double r11720 = r11719 - r11718;
        double r11721 = z;
        double r11722 = r11720 / r11721;
        double r11723 = r11718 + r11722;
        return r11723;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020021 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))