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

Average Error: 0.1 → 0.1

Time: 10.9s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r194612 = x;
        double r194613 = 3.0;
        double r194614 = 8.0;
        double r194615 = r194613 / r194614;
        double r194616 = y;
        double r194617 = r194615 * r194616;
        double r194618 = r194612 - r194617;
        return r194618;
}

↓

double f(double x, double y) {
        double r194619 = x;
        double r194620 = 3.0;
        double r194621 = 8.0;
        double r194622 = r194620 / r194621;
        double r194623 = y;
        double r194624 = r194622 * r194623;
        double r194625 = r194619 - r194624;
        return r194625;
}

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 2019174 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))