Average Error: 0.0 → 0.0
Time: 2.8s
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 r1562 = x;
        double r1563 = y;
        double r1564 = r1563 - r1562;
        double r1565 = z;
        double r1566 = r1564 / r1565;
        double r1567 = r1562 + r1566;
        return r1567;
}
↓
double f(double x, double y, double z) {
        double r1568 = x;
        double r1569 = y;
        double r1570 = r1569 - r1568;
        double r1571 = z;
        double r1572 = r1570 / r1571;
        double r1573 = r1568 + r1572;
        return r1573;
}

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 2020046 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))