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

Average Error: 0.1 → 0.1

Time: 5.3s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r244383 = x;
        double r244384 = 3.0;
        double r244385 = 8.0;
        double r244386 = r244384 / r244385;
        double r244387 = y;
        double r244388 = r244386 * r244387;
        double r244389 = r244383 - r244388;
        return r244389;
}

↓

double f(double x, double y) {
        double r244390 = x;
        double r244391 = 3.0;
        double r244392 = 8.0;
        double r244393 = r244391 / r244392;
        double r244394 = y;
        double r244395 = r244393 * r244394;
        double r244396 = r244390 - r244395;
        return r244396;
}

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 2020027 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))