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

Average Error: 0.1 → 0.1

Time: 19.1s

Precision: 64

Math

\[x - \frac{3}{8} \cdot y\]

↓

\[x - \frac{3}{8} \cdot y\]

C

double f(double x, double y) {
        double r228866 = x;
        double r228867 = 3.0;
        double r228868 = 8.0;
        double r228869 = r228867 / r228868;
        double r228870 = y;
        double r228871 = r228869 * r228870;
        double r228872 = r228866 - r228871;
        return r228872;
}

↓

double f(double x, double y) {
        double r228873 = x;
        double r228874 = 3.0;
        double r228875 = 8.0;
        double r228876 = r228874 / r228875;
        double r228877 = y;
        double r228878 = r228876 * r228877;
        double r228879 = r228873 - r228878;
        return r228879;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3}{8} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3}{8} \cdot y\]

Reproduce

herbie shell --seed 2019323 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))