Average Error: 0.0 → 0.0
Time: 15.1s
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 r16606 = x;
        double r16607 = y;
        double r16608 = r16607 - r16606;
        double r16609 = z;
        double r16610 = r16608 / r16609;
        double r16611 = r16606 + r16610;
        return r16611;
}
↓
double f(double x, double y, double z) {
        double r16612 = x;
        double r16613 = y;
        double r16614 = r16613 - r16612;
        double r16615 = z;
        double r16616 = r16614 / r16615;
        double r16617 = r16612 + r16616;
        return r16617;
}

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 2019350 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))