Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

Average Error: 0.2 → 0.2

Time: 8.0s

Precision: 64

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

Math

\[\frac{x \cdot x - 3}{6}\]

↓

\[\frac{x \cdot x - 3}{6}\]

C

double f(double x) {
        double r71980 = x;
        double r71981 = r71980 * r71980;
        double r71982 = 3.0;
        double r71983 = r71981 - r71982;
        double r71984 = 6.0;
        double r71985 = r71983 / r71984;
        return r71985;
}

↓

double f(double x) {
        double r71986 = x;
        double r71987 = r71986 * r71986;
        double r71988 = 3.0;
        double r71989 = r71987 - r71988;
        double r71990 = 6.0;
        double r71991 = r71989 / r71990;
        return r71991;
}

Error

Bits error versus x

Derivation

1. Initial program 0.2

   \[\frac{x \cdot x - 3}{6}\]

2. Final simplification 0.2

   \[\leadsto \frac{x \cdot x - 3}{6}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))