Average Error: 0.0 → 0.0
Time: 1.3s
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 r7537 = x;
        double r7538 = y;
        double r7539 = r7538 - r7537;
        double r7540 = z;
        double r7541 = r7539 / r7540;
        double r7542 = r7537 + r7541;
        return r7542;
}
↓
double f(double x, double y, double z) {
        double r7543 = x;
        double r7544 = y;
        double r7545 = r7544 - r7543;
        double r7546 = z;
        double r7547 = r7545 / r7546;
        double r7548 = r7543 + r7547;
        return r7548;
}

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 2020039 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Sample:$swelfordMean from math-functions-0.1.5.2"
  :precision binary64
  (+ x (/ (- y x) z)))