Average Error: 0.0 → 0.0
Time: 4.6s
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 r8622 = x;
        double r8623 = y;
        double r8624 = r8623 - r8622;
        double r8625 = z;
        double r8626 = r8624 / r8625;
        double r8627 = r8622 + r8626;
        return r8627;
}
↓
double f(double x, double y, double z) {
        double r8628 = x;
        double r8629 = y;
        double r8630 = r8629 - r8628;
        double r8631 = z;
        double r8632 = r8630 / r8631;
        double r8633 = r8628 + r8632;
        return r8633;
}

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