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

Average Error: 0.1 → 0.1

Time: 5.5s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r258950 = x;
        double r258951 = 3.0;
        double r258952 = 8.0;
        double r258953 = r258951 / r258952;
        double r258954 = y;
        double r258955 = r258953 * r258954;
        double r258956 = r258950 - r258955;
        return r258956;
}

↓

double f(double x, double y) {
        double r258957 = x;
        double r258958 = 3.0;
        double r258959 = 8.0;
        double r258960 = r258958 / r258959;
        double r258961 = y;
        double r258962 = r258960 * r258961;
        double r258963 = r258957 - r258962;
        return r258963;
}

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 2019356 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))