Average Error: 0.0 → 0.0
Time: 4.4s
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 r8585 = x;
        double r8586 = y;
        double r8587 = r8586 - r8585;
        double r8588 = z;
        double r8589 = r8587 / r8588;
        double r8590 = r8585 + r8589;
        return r8590;
}
↓
double f(double x, double y, double z) {
        double r8591 = x;
        double r8592 = y;
        double r8593 = r8592 - r8591;
        double r8594 = z;
        double r8595 = r8593 / r8594;
        double r8596 = r8591 + r8595;
        return r8596;
}

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 2019208 
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))