Average Error: 0.1 → 0.1
Time: 15.1s
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 r21105 = x;
        double r21106 = y;
        double r21107 = z;
        double r21108 = r21106 * r21107;
        double r21109 = r21108 * r21107;
        double r21110 = r21105 + r21109;
        return r21110;
}
↓
double f(double x, double y, double z) {
        double r21111 = x;
        double r21112 = y;
        double r21113 = z;
        double r21114 = r21112 * r21113;
        double r21115 = r21114 * r21113;
        double r21116 = r21111 + r21115;
        return r21116;
}

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 2019199 
(FPCore (x y z)
  :name "Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2"
  (+ x (* (* y z) z)))