Average Error: 0.0 → 0.0
Time: 1.1s
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 r4167 = x;
        double r4168 = y;
        double r4169 = r4168 - r4167;
        double r4170 = z;
        double r4171 = r4169 / r4170;
        double r4172 = r4167 + r4171;
        return r4172;
}
↓
double f(double x, double y, double z) {
        double r4173 = x;
        double r4174 = y;
        double r4175 = r4174 - r4173;
        double r4176 = z;
        double r4177 = r4175 / r4176;
        double r4178 = r4173 + r4177;
        return r4178;
}

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 2019346 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))