Average Error: 0.1 → 0.1
Time: 19.6s
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 r30523450 = x;
        double r30523451 = y;
        double r30523452 = r30523450 * r30523451;
        double r30523453 = z;
        double r30523454 = r30523453 * r30523453;
        double r30523455 = r30523452 + r30523454;
        double r30523456 = r30523455 + r30523454;
        double r30523457 = r30523456 + r30523454;
        return r30523457;
}
↓
double f(double x, double y, double z) {
        double r30523458 = x;
        double r30523459 = y;
        double r30523460 = r30523458 * r30523459;
        double r30523461 = z;
        double r30523462 = r30523461 * r30523461;
        double r30523463 = r30523460 + r30523462;
        double r30523464 = r30523463 + r30523462;
        double r30523465 = r30523464 + r30523462;
        return r30523465;
}

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)))