Average Error: 0.1 → 0.1
Time: 11.1s
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 r23942082 = x;
        double r23942083 = y;
        double r23942084 = r23942082 * r23942083;
        double r23942085 = z;
        double r23942086 = r23942085 * r23942085;
        double r23942087 = r23942084 + r23942086;
        double r23942088 = r23942087 + r23942086;
        double r23942089 = r23942088 + r23942086;
        return r23942089;
}
↓
double f(double x, double y, double z) {
        double r23942090 = x;
        double r23942091 = y;
        double r23942092 = r23942090 * r23942091;
        double r23942093 = z;
        double r23942094 = r23942093 * r23942093;
        double r23942095 = r23942092 + r23942094;
        double r23942096 = r23942095 + r23942094;
        double r23942097 = r23942096 + r23942094;
        return r23942097;
}

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)))