Average Error: 0.2 → 0.2
Time: 12.2s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x - 3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x - 3}{6}
double f(double x) {
        double r71089 = x;
        double r71090 = r71089 * r71089;
        double r71091 = 3.0;
        double r71092 = r71090 - r71091;
        double r71093 = 6.0;
        double r71094 = r71092 / r71093;
        return r71094;
}
↓
double f(double x) {
        double r71095 = x;
        double r71096 = r71095 * r71095;
        double r71097 = 3.0;
        double r71098 = r71096 - r71097;
        double r71099 = 6.0;
        double r71100 = r71098 / r71099;
        return r71100;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))