Average Error: 0.0 → 0.0
Time: 40.1s
Precision: 64
\[x - \left(y \cdot 4\right) \cdot z\]
↓
\[x - z \cdot \left(4 \cdot y\right)\]
x - \left(y \cdot 4\right) \cdot z
↓
x - z \cdot \left(4 \cdot y\right)
double f(double x, double y, double z) {
        double r9681629 = x;
        double r9681630 = y;
        double r9681631 = 4.0;
        double r9681632 = r9681630 * r9681631;
        double r9681633 = z;
        double r9681634 = r9681632 * r9681633;
        double r9681635 = r9681629 - r9681634;
        return r9681635;
}
↓
double f(double x, double y, double z) {
        double r9681636 = x;
        double r9681637 = z;
        double r9681638 = 4.0;
        double r9681639 = y;
        double r9681640 = r9681638 * r9681639;
        double r9681641 = r9681637 * r9681640;
        double r9681642 = r9681636 - r9681641;
        return r9681642;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))