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

Average Error: 0.1 → 0.1

Time: 10.5s

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 r264464 = x;
        double r264465 = 3.0;
        double r264466 = 8.0;
        double r264467 = r264465 / r264466;
        double r264468 = y;
        double r264469 = r264467 * r264468;
        double r264470 = r264464 - r264469;
        return r264470;
}

↓

double f(double x, double y) {
        double r264471 = x;
        double r264472 = 3.0;
        double r264473 = 8.0;
        double r264474 = r264472 / r264473;
        double r264475 = y;
        double r264476 = r264474 * r264475;
        double r264477 = r264471 - r264476;
        return r264477;
}

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 2020047 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))