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

Average Error: 0.1 → 0.1

Time: 10.9s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

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

↓

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

C

double f(double x, double y) {
        double r282030 = x;
        double r282031 = 3.0;
        double r282032 = 8.0;
        double r282033 = r282031 / r282032;
        double r282034 = y;
        double r282035 = r282033 * r282034;
        double r282036 = r282030 - r282035;
        return r282036;
}

↓

double f(double x, double y) {
        double r282037 = x;
        double r282038 = 3.0;
        double r282039 = 8.0;
        double r282040 = r282038 / r282039;
        double r282041 = y;
        double r282042 = r282040 * r282041;
        double r282043 = r282037 - r282042;
        return r282043;
}

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 2019350 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))