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

Average Error: 0.1 → 0.1

Time: 14.6s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r177363 = x;
        double r177364 = 3.0;
        double r177365 = 8.0;
        double r177366 = r177364 / r177365;
        double r177367 = y;
        double r177368 = r177366 * r177367;
        double r177369 = r177363 - r177368;
        return r177369;
}

↓

double f(double x, double y) {
        double r177370 = x;
        double r177371 = 3.0;
        double r177372 = 8.0;
        double r177373 = r177371 / r177372;
        double r177374 = y;
        double r177375 = r177373 * r177374;
        double r177376 = r177370 - r177375;
        return r177376;
}

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 2019291 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))