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

Average Error: 0.1 → 0.1

Time: 9.4s

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 r464508 = x;
        double r464509 = 3.0;
        double r464510 = 8.0;
        double r464511 = r464509 / r464510;
        double r464512 = y;
        double r464513 = r464511 * r464512;
        double r464514 = r464508 - r464513;
        return r464514;
}

↓

double f(double x, double y) {
        double r464515 = x;
        double r464516 = 3.0;
        double r464517 = 8.0;
        double r464518 = r464516 / r464517;
        double r464519 = y;
        double r464520 = r464518 * r464519;
        double r464521 = r464515 - r464520;
        return r464521;
}

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)))