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

Average Error: 0.2 → 0.2

Time: 7.4s

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 r292796 = x;
        double r292797 = 3.0;
        double r292798 = r292796 * r292797;
        double r292799 = r292798 * r292796;
        return r292799;
}

↓

double f(double x) {
        double r292800 = x;
        double r292801 = 3.0;
        double r292802 = r292800 * r292801;
        double r292803 = r292802 * r292800;
        return r292803;
}

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 2020046 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))