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

Average Error: 0.1 → 0.1

Time: 5.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r271986 = x;
        double r271987 = 3.0;
        double r271988 = 8.0;
        double r271989 = r271987 / r271988;
        double r271990 = y;
        double r271991 = r271989 * r271990;
        double r271992 = r271986 - r271991;
        return r271992;
}

↓

double f(double x, double y) {
        double r271993 = x;
        double r271994 = 3.0;
        double r271995 = 8.0;
        double r271996 = r271994 / r271995;
        double r271997 = y;
        double r271998 = r271996 * r271997;
        double r271999 = r271993 - r271998;
        return r271999;
}

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 2019354 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))