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

Average Error: 0.1 → 0.1

Time: 18.9s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r169360 = x;
        double r169361 = 3.0;
        double r169362 = 8.0;
        double r169363 = r169361 / r169362;
        double r169364 = y;
        double r169365 = r169363 * r169364;
        double r169366 = r169360 - r169365;
        return r169366;
}

↓

double f(double x, double y) {
        double r169367 = x;
        double r169368 = 3.0;
        double r169369 = 8.0;
        double r169370 = r169368 / r169369;
        double r169371 = y;
        double r169372 = r169370 * r169371;
        double r169373 = r169367 - r169372;
        return r169373;
}

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)))