Average Error: 0.1 → 0.1
Time: 15.2s
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 r28164973 = x;
        double r28164974 = y;
        double r28164975 = r28164973 * r28164974;
        double r28164976 = z;
        double r28164977 = r28164976 * r28164976;
        double r28164978 = r28164975 + r28164977;
        double r28164979 = r28164978 + r28164977;
        double r28164980 = r28164979 + r28164977;
        return r28164980;
}
↓
double f(double x, double y, double z) {
        double r28164981 = x;
        double r28164982 = y;
        double r28164983 = r28164981 * r28164982;
        double r28164984 = z;
        double r28164985 = r28164984 * r28164984;
        double r28164986 = r28164983 + r28164985;
        double r28164987 = r28164986 + r28164985;
        double r28164988 = r28164987 + r28164985;
        return r28164988;
}

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 2019171 
(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)))