Average Error: 0.0 → 0.0
Time: 10.5s
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 r14416 = x;
        double r14417 = y;
        double r14418 = r14417 - r14416;
        double r14419 = z;
        double r14420 = r14418 / r14419;
        double r14421 = r14416 + r14420;
        return r14421;
}
↓
double f(double x, double y, double z) {
        double r14422 = x;
        double r14423 = y;
        double r14424 = r14423 - r14422;
        double r14425 = z;
        double r14426 = r14424 / r14425;
        double r14427 = r14422 + r14426;
        return r14427;
}

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 2019305 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))