Average Error: 0.0 → 0.0
Time: 1.7s
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 r5452 = x;
        double r5453 = y;
        double r5454 = r5453 - r5452;
        double r5455 = z;
        double r5456 = r5454 / r5455;
        double r5457 = r5452 + r5456;
        return r5457;
}
↓
double f(double x, double y, double z) {
        double r5458 = x;
        double r5459 = y;
        double r5460 = r5459 - r5458;
        double r5461 = z;
        double r5462 = r5460 / r5461;
        double r5463 = r5458 + r5462;
        return r5463;
}

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 2020027 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))