Average Error: 0.2 → 0.2
Time: 1.7s
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 r725642 = x;
        double r725643 = 3.0;
        double r725644 = r725642 * r725643;
        double r725645 = y;
        double r725646 = r725644 * r725645;
        double r725647 = z;
        double r725648 = r725646 - r725647;
        return r725648;
}
↓
double f(double x, double y, double z) {
        double r725649 = x;
        double r725650 = 3.0;
        double r725651 = r725649 * r725650;
        double r725652 = y;
        double r725653 = r725651 * r725652;
        double r725654 = z;
        double r725655 = r725653 - r725654;
        return r725655;
}

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 2020081 
(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))