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

Average Error: 0.1 → 0.1

Time: 11.4s

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 r250740 = x;
        double r250741 = 3.0;
        double r250742 = 8.0;
        double r250743 = r250741 / r250742;
        double r250744 = y;
        double r250745 = r250743 * r250744;
        double r250746 = r250740 - r250745;
        return r250746;
}

↓

double f(double x, double y) {
        double r250747 = x;
        double r250748 = 3.0;
        double r250749 = 8.0;
        double r250750 = r250748 / r250749;
        double r250751 = y;
        double r250752 = r250750 * r250751;
        double r250753 = r250747 - r250752;
        return r250753;
}

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