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

Average Error: 0.1 → 0.1

Time: 9.7s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

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

↓

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

C

double f(double x, double y) {
        double r285629 = x;
        double r285630 = 3.0;
        double r285631 = 8.0;
        double r285632 = r285630 / r285631;
        double r285633 = y;
        double r285634 = r285632 * r285633;
        double r285635 = r285629 - r285634;
        return r285635;
}

↓

double f(double x, double y) {
        double r285636 = x;
        double r285637 = 3.0;
        double r285638 = 8.0;
        double r285639 = r285637 / r285638;
        double r285640 = y;
        double r285641 = r285639 * r285640;
        double r285642 = r285636 - r285641;
        return r285642;
}

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 2020042 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))