Average Error: 0.0 → 0.0
Time: 755.0ms
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - y \cdot \left(4 \cdot z\right)\]
x - \left(y \cdot 4\right) \cdot z
↓
x - y \cdot \left(4 \cdot z\right)
double f(double x, double y, double z) {
        double r162620 = x;
        double r162621 = y;
        double r162622 = 4.0;
        double r162623 = r162621 * r162622;
        double r162624 = z;
        double r162625 = r162623 * r162624;
        double r162626 = r162620 - r162625;
        return r162626;
}
↓
double f(double x, double y, double z) {
        double r162627 = x;
        double r162628 = y;
        double r162629 = 4.0;
        double r162630 = z;
        double r162631 = r162629 * r162630;
        double r162632 = r162628 * r162631;
        double r162633 = r162627 - r162632;
        return r162633;
}

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

Derivation

  1. Initial program 0.0

    \[x - \left(y \cdot 4\right) \cdot z\]
  2. Using strategy rm

  3. Applied associate-*l*0.0

    \[\leadsto x - \color{blue}{y \cdot \left(4 \cdot z\right)}\]

  4. Final simplification0.0

    \[\leadsto x - y \cdot \left(4 \cdot z\right)\]

Reproduce

herbie shell --seed 2020034 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))