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 r12611 = x;
        double r12612 = y;
        double r12613 = r12612 - r12611;
        double r12614 = z;
        double r12615 = r12613 / r12614;
        double r12616 = r12611 + r12615;
        return r12616;
}
↓
double f(double x, double y, double z) {
        double r12617 = x;
        double r12618 = y;
        double r12619 = r12618 - r12617;
        double r12620 = z;
        double r12621 = r12619 / r12620;
        double r12622 = r12617 + r12621;
        return r12622;
}

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