Average Error: 0.1 → 0.1
Time: 10.7s
Precision: 64
\[x + \left(y \cdot z\right) \cdot z\]
↓
\[x + \left(y \cdot z\right) \cdot z\]
x + \left(y \cdot z\right) \cdot z
↓
x + \left(y \cdot z\right) \cdot z
double f(double x, double y, double z) {
        double r24426 = x;
        double r24427 = y;
        double r24428 = z;
        double r24429 = r24427 * r24428;
        double r24430 = r24429 * r24428;
        double r24431 = r24426 + r24430;
        return r24431;
}
↓
double f(double x, double y, double z) {
        double r24432 = x;
        double r24433 = y;
        double r24434 = z;
        double r24435 = r24433 * r24434;
        double r24436 = r24435 * r24434;
        double r24437 = r24432 + r24436;
        return r24437;
}

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 0.1

    \[x + \left(y \cdot z\right) \cdot z\]

  2. Final simplification0.1

    \[\leadsto x + \left(y \cdot z\right) \cdot z\]

Reproduce

herbie shell --seed 2019198 
(FPCore (x y z)
  :name "Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2"
  (+ x (* (* y z) z)))