Average Error: 0.1 → 0.1
Time: 16.8s
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 r22249026 = x;
        double r22249027 = y;
        double r22249028 = r22249026 * r22249027;
        double r22249029 = z;
        double r22249030 = r22249029 * r22249029;
        double r22249031 = r22249028 + r22249030;
        double r22249032 = r22249031 + r22249030;
        double r22249033 = r22249032 + r22249030;
        return r22249033;
}
↓
double f(double x, double y, double z) {
        double r22249034 = x;
        double r22249035 = y;
        double r22249036 = r22249034 * r22249035;
        double r22249037 = z;
        double r22249038 = r22249037 * r22249037;
        double r22249039 = r22249036 + r22249038;
        double r22249040 = r22249039 + r22249038;
        double r22249041 = r22249040 + r22249038;
        return r22249041;
}

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 2019172 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, A"

  :herbie-target
  (+ (* (* 3.0 z) z) (* y x))

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