Average Error: 0.1 → 0.1
Time: 11.6s
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 r22562340 = x;
        double r22562341 = y;
        double r22562342 = r22562340 * r22562341;
        double r22562343 = z;
        double r22562344 = r22562343 * r22562343;
        double r22562345 = r22562342 + r22562344;
        double r22562346 = r22562345 + r22562344;
        double r22562347 = r22562346 + r22562344;
        return r22562347;
}
↓
double f(double x, double y, double z) {
        double r22562348 = x;
        double r22562349 = y;
        double r22562350 = r22562348 * r22562349;
        double r22562351 = z;
        double r22562352 = r22562351 * r22562351;
        double r22562353 = r22562350 + r22562352;
        double r22562354 = r22562353 + r22562352;
        double r22562355 = r22562354 + r22562352;
        return r22562355;
}

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)))