Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F

Average Error: 0.2 → 0.2

Time: 11.9s

Precision: 64

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

Math

\[\left(x \cdot 3\right) \cdot x\]

↓

\[\left(x \cdot 3\right) \cdot x\]

C

double f(double x) {
        double r266777 = x;
        double r266778 = 3.0;
        double r266779 = r266777 * r266778;
        double r266780 = r266779 * r266777;
        return r266780;
}

↓

double f(double x) {
        double r266781 = x;
        double r266782 = 3.0;
        double r266783 = r266781 * r266782;
        double r266784 = r266783 * r266781;
        return r266784;
}

Error

Bits error versus x

Derivation

1. Initial program 0.2

   \[\left(x \cdot 3\right) \cdot x\]

2. Final simplification 0.2

   \[\leadsto \left(x \cdot 3\right) \cdot x\]

Reproduce

herbie shell --seed 2019350 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))