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

Average Error: 0.2 → 0.2

Time: 6.4s

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 r224476 = x;
        double r224477 = 3.0;
        double r224478 = r224476 * r224477;
        double r224479 = r224478 * r224476;
        return r224479;
}

↓

double f(double x) {
        double r224480 = x;
        double r224481 = 3.0;
        double r224482 = r224480 * r224481;
        double r224483 = r224482 * r224480;
        return r224483;
}

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 2020047 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))