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

Average Error: 0.1 → 0.1

Time: 5.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r256775 = x;
        double r256776 = 3.0;
        double r256777 = 8.0;
        double r256778 = r256776 / r256777;
        double r256779 = y;
        double r256780 = r256778 * r256779;
        double r256781 = r256775 - r256780;
        return r256781;
}

↓

double f(double x, double y) {
        double r256782 = x;
        double r256783 = 3.0;
        double r256784 = 8.0;
        double r256785 = r256783 / r256784;
        double r256786 = y;
        double r256787 = r256785 * r256786;
        double r256788 = r256782 - r256787;
        return r256788;
}

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 2020064 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))