Average Error: 0.0 → 0.0
Time: 18.6s
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 r23530 = x;
        double r23531 = y;
        double r23532 = r23531 - r23530;
        double r23533 = z;
        double r23534 = r23532 / r23533;
        double r23535 = r23530 + r23534;
        return r23535;
}
↓
double f(double x, double y, double z) {
        double r23536 = x;
        double r23537 = y;
        double r23538 = r23537 - r23536;
        double r23539 = z;
        double r23540 = r23538 / r23539;
        double r23541 = r23536 + r23540;
        return r23541;
}

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 2019303 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))