Average Error: 0.0 → 0.0
Time: 3.7s
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 r22404 = x;
        double r22405 = y;
        double r22406 = r22405 - r22404;
        double r22407 = z;
        double r22408 = r22406 / r22407;
        double r22409 = r22404 + r22408;
        return r22409;
}
↓
double f(double x, double y, double z) {
        double r22410 = x;
        double r22411 = y;
        double r22412 = r22411 - r22410;
        double r22413 = z;
        double r22414 = r22412 / r22413;
        double r22415 = r22410 + r22414;
        return r22415;
}

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 2020089 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))