Average Error: 0.0 → 0.0
Time: 2.6s
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 r12441 = x;
        double r12442 = y;
        double r12443 = r12442 - r12441;
        double r12444 = z;
        double r12445 = r12443 / r12444;
        double r12446 = r12441 + r12445;
        return r12446;
}
↓
double f(double x, double y, double z) {
        double r12447 = x;
        double r12448 = y;
        double r12449 = r12448 - r12447;
        double r12450 = z;
        double r12451 = r12449 / r12450;
        double r12452 = r12447 + r12451;
        return r12452;
}

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 2019347 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))