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

Average Error: 0.2 → 0.2

Time: 20.3s

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 r213949 = x;
        double r213950 = 3.0;
        double r213951 = r213949 * r213950;
        double r213952 = r213951 * r213949;
        return r213952;
}

↓

double f(double x) {
        double r213953 = x;
        double r213954 = 3.0;
        double r213955 = r213953 * r213954;
        double r213956 = r213955 * r213953;
        return r213956;
}

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 2020043 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))