Average Error: 0.0 → 0.0
Time: 3.7s
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 r14160 = x;
        double r14161 = y;
        double r14162 = r14161 - r14160;
        double r14163 = z;
        double r14164 = r14162 / r14163;
        double r14165 = r14160 + r14164;
        return r14165;
}
↓
double f(double x, double y, double z) {
        double r14166 = x;
        double r14167 = y;
        double r14168 = r14167 - r14166;
        double r14169 = z;
        double r14170 = r14168 / r14169;
        double r14171 = r14166 + r14170;
        return r14171;
}

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 2020035 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))