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

Average Error: 0.1 → 0.1

Time: 11.3s

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 r308384 = x;
        double r308385 = 3.0;
        double r308386 = 8.0;
        double r308387 = r308385 / r308386;
        double r308388 = y;
        double r308389 = r308387 * r308388;
        double r308390 = r308384 - r308389;
        return r308390;
}

↓

double f(double x, double y) {
        double r308391 = x;
        double r308392 = 3.0;
        double r308393 = 8.0;
        double r308394 = r308392 / r308393;
        double r308395 = y;
        double r308396 = r308394 * r308395;
        double r308397 = r308391 - r308396;
        return r308397;
}

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 2020046 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))