Average Error: 0.2 → 0.2
Time: 19.3s
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 r588561 = x;
        double r588562 = 3.0;
        double r588563 = r588561 * r588562;
        double r588564 = y;
        double r588565 = r588563 * r588564;
        double r588566 = z;
        double r588567 = r588565 - r588566;
        return r588567;
}
↓
double f(double x, double y, double z) {
        double r588568 = x;
        double r588569 = 3.0;
        double r588570 = r588568 * r588569;
        double r588571 = y;
        double r588572 = r588570 * r588571;
        double r588573 = z;
        double r588574 = r588572 - r588573;
        return r588574;
}

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
Target0.2
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 2019326 +o rules:numerics
(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))