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

Average Error: 0.0 → 0.0

Time: 361.0ms

Precision: 64

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

Math

\[\frac{x}{y \cdot 2}\]

↓

\[\frac{x}{y \cdot 2}\]

C

double f(double x, double y) {
        double r225531 = x;
        double r225532 = y;
        double r225533 = 2.0;
        double r225534 = r225532 * r225533;
        double r225535 = r225531 / r225534;
        return r225535;
}

↓

double f(double x, double y) {
        double r225536 = x;
        double r225537 = y;
        double r225538 = 2.0;
        double r225539 = r225537 * r225538;
        double r225540 = r225536 / r225539;
        return r225540;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[\frac{x}{y \cdot 2}\]

2. Final simplification 0.0

   \[\leadsto \frac{x}{y \cdot 2}\]

Reproduce

herbie shell --seed 2020042 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2)))