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

Average Error: 0.1 → 0.1

Time: 11.1s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r196393 = x;
        double r196394 = 3.0;
        double r196395 = 8.0;
        double r196396 = r196394 / r196395;
        double r196397 = y;
        double r196398 = r196396 * r196397;
        double r196399 = r196393 - r196398;
        return r196399;
}

↓

double f(double x, double y) {
        double r196400 = x;
        double r196401 = 3.0;
        double r196402 = 8.0;
        double r196403 = r196401 / r196402;
        double r196404 = y;
        double r196405 = r196403 * r196404;
        double r196406 = r196400 - r196405;
        return r196406;
}

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 2019195 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))