Average Error: 0.1 → 0.1
Time: 11.4s
Precision: 64
\[\left(\left(x \cdot y + z \cdot z\right) + z \cdot z\right) + z \cdot z\]
↓
\[\left(\left(x \cdot y + z \cdot z\right) + z \cdot z\right) + z \cdot z\]
\left(\left(x \cdot y + z \cdot z\right) + z \cdot z\right) + z \cdot z
↓
\left(\left(x \cdot y + z \cdot z\right) + z \cdot z\right) + z \cdot z
double f(double x, double y, double z) {
        double r26269805 = x;
        double r26269806 = y;
        double r26269807 = r26269805 * r26269806;
        double r26269808 = z;
        double r26269809 = r26269808 * r26269808;
        double r26269810 = r26269807 + r26269809;
        double r26269811 = r26269810 + r26269809;
        double r26269812 = r26269811 + r26269809;
        return r26269812;
}
↓
double f(double x, double y, double z) {
        double r26269813 = x;
        double r26269814 = y;
        double r26269815 = r26269813 * r26269814;
        double r26269816 = z;
        double r26269817 = r26269816 * r26269816;
        double r26269818 = r26269815 + r26269817;
        double r26269819 = r26269818 + r26269817;
        double r26269820 = r26269819 + r26269817;
        return r26269820;
}

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

Target

Original0.1
Target0.1
Herbie0.1
\[\left(3 \cdot z\right) \cdot z + y \cdot x\]

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, A"

  :herbie-target
  (+ (* (* 3 z) z) (* y x))

  (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))