Average Error: 0.0 → 0.0
Time: 10.4s
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 r816929 = x;
        double r816930 = y;
        double r816931 = r816930 - r816929;
        double r816932 = z;
        double r816933 = r816931 / r816932;
        double r816934 = r816929 + r816933;
        return r816934;
}
↓
double f(double x, double y, double z) {
        double r816935 = x;
        double r816936 = y;
        double r816937 = r816936 - r816935;
        double r816938 = z;
        double r816939 = r816937 / r816938;
        double r816940 = r816935 + r816939;
        return r816940;
}

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. Using strategy rm

  3. Applied +-commutative0.0

    \[\leadsto \color{blue}{\frac{y - x}{z} + x}\]

  4. Final simplification0.0

    \[\leadsto x + \frac{y - x}{z}\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  (+ x (/ (- y x) z)))