Average Error: 0.2 → 0.2
Time: 1.9s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[\left(x \cdot 3\right) \cdot y - z\]
\left(x \cdot 3\right) \cdot y - z
↓
\left(x \cdot 3\right) \cdot y - z
double f(double x, double y, double z) {
        double r652389 = x;
        double r652390 = 3.0;
        double r652391 = r652389 * r652390;
        double r652392 = y;
        double r652393 = r652391 * r652392;
        double r652394 = z;
        double r652395 = r652393 - r652394;
        return r652395;
}
↓
double f(double x, double y, double z) {
        double r652396 = x;
        double r652397 = 3.0;
        double r652398 = r652396 * r652397;
        double r652399 = y;
        double r652400 = r652398 * r652399;
        double r652401 = z;
        double r652402 = r652400 - r652401;
        return r652402;
}

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

Original0.2
Target0.1
Herbie0.2
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.2

    \[\left(x \cdot 3\right) \cdot y - z\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot 3\right) \cdot y - z\]

Reproduce

herbie shell --seed 2020003 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (* x (* 3 y)) z)

  (- (* (* x 3) y) z))