Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

Average Error: 0.2 → 0.2

Time: 8.9s

Precision: 64

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

Math

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

↓

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

C

double f(double x, double y) {
        double r772436 = x;
        double r772437 = y;
        double r772438 = 3.0;
        double r772439 = r772437 * r772438;
        double r772440 = r772436 / r772439;
        return r772440;
}

↓

double f(double x, double y) {
        double r772441 = x;
        double r772442 = y;
        double r772443 = 3.0;
        double r772444 = r772442 * r772443;
        double r772445 = r772441 / r772444;
        return r772445;
}

Error

Bits error versus x

Bits error versus y

Target

Original	0.2
Target	0.2
Herbie	0.2

\[\frac{\frac{x}{y}}{3}\]

Derivation

1. Initial program 0.2

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

2. Final simplification 0.2

   \[\leadsto \frac{x}{y \cdot 3}\]

Reproduce

herbie shell --seed 2020046 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (/ x y) 3)

  (/ x (* y 3)))