Average Error: 0.0 → 0.0
Time: 2.3s
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 r10693 = x;
        double r10694 = y;
        double r10695 = r10694 - r10693;
        double r10696 = z;
        double r10697 = r10695 / r10696;
        double r10698 = r10693 + r10697;
        return r10698;
}
↓
double f(double x, double y, double z) {
        double r10699 = x;
        double r10700 = y;
        double r10701 = r10700 - r10699;
        double r10702 = z;
        double r10703 = r10701 / r10702;
        double r10704 = r10699 + r10703;
        return r10704;
}

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 2019344 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))