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

Average Error: 0.1 → 0.1

Time: 10.6s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r195005 = x;
        double r195006 = 3.0;
        double r195007 = 8.0;
        double r195008 = r195006 / r195007;
        double r195009 = y;
        double r195010 = r195008 * r195009;
        double r195011 = r195005 - r195010;
        return r195011;
}

↓

double f(double x, double y) {
        double r195012 = x;
        double r195013 = 3.0;
        double r195014 = 8.0;
        double r195015 = r195013 / r195014;
        double r195016 = y;
        double r195017 = r195015 * r195016;
        double r195018 = r195012 - r195017;
        return r195018;
}

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 2019303 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))