Average Error: 0.0 → 0.0
Time: 9.3s
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 r12228 = x;
        double r12229 = y;
        double r12230 = r12229 - r12228;
        double r12231 = z;
        double r12232 = r12230 / r12231;
        double r12233 = r12228 + r12232;
        return r12233;
}
↓
double f(double x, double y, double z) {
        double r12234 = x;
        double r12235 = y;
        double r12236 = r12235 - r12234;
        double r12237 = z;
        double r12238 = r12236 / r12237;
        double r12239 = r12234 + r12238;
        return r12239;
}

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 2019351 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))