Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

Average Error: 0.0 → 0.0

Time: 3.7s

Precision: 64

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

Math

\[\sqrt{1 - x \cdot x}\]

↓

\[\sqrt{1 - x \cdot x}\]

C

double f(double x) {
        double r217174 = 1.0;
        double r217175 = x;
        double r217176 = r217175 * r217175;
        double r217177 = r217174 - r217176;
        double r217178 = sqrt(r217177);
        return r217178;
}

↓

double f(double x) {
        double r217179 = 1.0;
        double r217180 = x;
        double r217181 = r217180 * r217180;
        double r217182 = r217179 - r217181;
        double r217183 = sqrt(r217182);
        return r217183;
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[\sqrt{1 - x \cdot x}\]

2. Final simplification 0.0

   \[\leadsto \sqrt{1 - x \cdot x}\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x)
  :name "Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3"
  :precision binary64
  (sqrt (- 1 (* x x))))