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

Average Error: 0.1 → 0.1

Time: 5.6s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r200759 = x;
        double r200760 = 3.0;
        double r200761 = 8.0;
        double r200762 = r200760 / r200761;
        double r200763 = y;
        double r200764 = r200762 * r200763;
        double r200765 = r200759 - r200764;
        return r200765;
}

↓

double f(double x, double y) {
        double r200766 = x;
        double r200767 = 3.0;
        double r200768 = 8.0;
        double r200769 = r200767 / r200768;
        double r200770 = y;
        double r200771 = r200769 * r200770;
        double r200772 = r200766 - r200771;
        return r200772;
}

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 2020034 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))