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 r201764 = x;
        double r201765 = 3.0;
        double r201766 = 8.0;
        double r201767 = r201765 / r201766;
        double r201768 = y;
        double r201769 = r201767 * r201768;
        double r201770 = r201764 - r201769;
        return r201770;
}

↓

double f(double x, double y) {
        double r201771 = x;
        double r201772 = 3.0;
        double r201773 = 8.0;
        double r201774 = r201772 / r201773;
        double r201775 = y;
        double r201776 = r201774 * r201775;
        double r201777 = r201771 - r201776;
        return r201777;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))