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

Average Error: 0.2 → 0.2

Time: 10.8s

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 r188245 = x;
        double r188246 = 3.0;
        double r188247 = r188245 * r188246;
        double r188248 = r188247 * r188245;
        return r188248;
}

↓

double f(double x) {
        double r188249 = x;
        double r188250 = 3.0;
        double r188251 = r188249 * r188250;
        double r188252 = r188251 * r188249;
        return r188252;
}

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 2020045 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))