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

Average Error: 0.1 → 0.1

Time: 19.9s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r180996 = x;
        double r180997 = 3.0;
        double r180998 = 8.0;
        double r180999 = r180997 / r180998;
        double r181000 = y;
        double r181001 = r180999 * r181000;
        double r181002 = r180996 - r181001;
        return r181002;
}

↓

double f(double x, double y) {
        double r181003 = x;
        double r181004 = 3.0;
        double r181005 = 8.0;
        double r181006 = r181004 / r181005;
        double r181007 = y;
        double r181008 = r181006 * r181007;
        double r181009 = r181003 - r181008;
        return r181009;
}

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 2019304 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))