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

Average Error: 0.1 → 0.1

Time: 8.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r198625 = x;
        double r198626 = 3.0;
        double r198627 = 8.0;
        double r198628 = r198626 / r198627;
        double r198629 = y;
        double r198630 = r198628 * r198629;
        double r198631 = r198625 - r198630;
        return r198631;
}

↓

double f(double x, double y) {
        double r198632 = x;
        double r198633 = 3.0;
        double r198634 = 8.0;
        double r198635 = r198633 / r198634;
        double r198636 = y;
        double r198637 = r198635 * r198636;
        double r198638 = r198632 - r198637;
        return r198638;
}

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 2019179 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))