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 r247546 = x;
        double r247547 = 3.0;
        double r247548 = 8.0;
        double r247549 = r247547 / r247548;
        double r247550 = y;
        double r247551 = r247549 * r247550;
        double r247552 = r247546 - r247551;
        return r247552;
}

↓

double f(double x, double y) {
        double r247553 = x;
        double r247554 = 3.0;
        double r247555 = 8.0;
        double r247556 = r247554 / r247555;
        double r247557 = y;
        double r247558 = r247556 * r247557;
        double r247559 = r247553 - r247558;
        return r247559;
}

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 2020083 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))