Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Average Error: 0.1 → 0.1

Time: 1.4s

Precision: 64

Math

\[x - \frac{3.0}{8.0} \cdot y\]

↓

\[x - \frac{3.0}{8.0} \cdot y\]

C

double f(double x, double y) {
        double r9811861 = x;
        double r9811862 = 3.0;
        double r9811863 = 8.0;
        double r9811864 = r9811862 / r9811863;
        double r9811865 = y;
        double r9811866 = r9811864 * r9811865;
        double r9811867 = r9811861 - r9811866;
        return r9811867;
}

↓

double f(double x, double y) {
        double r9811868 = x;
        double r9811869 = 3.0;
        double r9811870 = 8.0;
        double r9811871 = r9811869 / r9811870;
        double r9811872 = y;
        double r9811873 = r9811871 * r9811872;
        double r9811874 = r9811868 - r9811873;
        return r9811874;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3.0}{8.0} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3.0}{8.0} \cdot y\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))