Average Error: 0.0 → 0.0
Time: 1.7s
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 r8277 = x;
        double r8278 = y;
        double r8279 = r8278 - r8277;
        double r8280 = z;
        double r8281 = r8279 / r8280;
        double r8282 = r8277 + r8281;
        return r8282;
}
↓
double f(double x, double y, double z) {
        double r8283 = x;
        double r8284 = y;
        double r8285 = r8284 - r8283;
        double r8286 = z;
        double r8287 = r8285 / r8286;
        double r8288 = r8283 + r8287;
        return r8288;
}

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 2020083 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))