Average Error: 0.0 → 0.0
Time: 788.0ms
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 r5313 = x;
        double r5314 = y;
        double r5315 = r5314 - r5313;
        double r5316 = z;
        double r5317 = r5315 / r5316;
        double r5318 = r5313 + r5317;
        return r5318;
}
↓
double f(double x, double y, double z) {
        double r5319 = x;
        double r5320 = y;
        double r5321 = r5320 - r5319;
        double r5322 = z;
        double r5323 = r5321 / r5322;
        double r5324 = r5319 + r5323;
        return r5324;
}

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 2019352 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))