Average Error: 0.1 → 0.1
Time: 16.1s
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 r59454 = x;
        double r59455 = r59454 * r59454;
        double r59456 = 3.0;
        double r59457 = r59455 - r59456;
        double r59458 = 6.0;
        double r59459 = r59457 / r59458;
        return r59459;
}
↓
double f(double x) {
        double r59460 = x;
        double r59461 = r59460 * r59460;
        double r59462 = 3.0;
        double r59463 = r59461 - r59462;
        double r59464 = 6.0;
        double r59465 = r59463 / r59464;
        return r59465;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019322 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))