Average Error: 0.0 → 0.0
Time: 1.4s
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 r10288 = x;
        double r10289 = y;
        double r10290 = r10289 - r10288;
        double r10291 = z;
        double r10292 = r10290 / r10291;
        double r10293 = r10288 + r10292;
        return r10293;
}
↓
double f(double x, double y, double z) {
        double r10294 = x;
        double r10295 = y;
        double r10296 = r10295 - r10294;
        double r10297 = z;
        double r10298 = r10296 / r10297;
        double r10299 = r10294 + r10298;
        return r10299;
}

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 2019362 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))