Average Error: 0.0 → 0.0
Time: 10.6s
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 r20617 = x;
        double r20618 = y;
        double r20619 = r20618 - r20617;
        double r20620 = z;
        double r20621 = r20619 / r20620;
        double r20622 = r20617 + r20621;
        return r20622;
}
↓
double f(double x, double y, double z) {
        double r20623 = x;
        double r20624 = y;
        double r20625 = r20624 - r20623;
        double r20626 = z;
        double r20627 = r20625 / r20626;
        double r20628 = r20623 + r20627;
        return r20628;
}

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 2019212 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))