Average Error: 0.2 → 0.2
Time: 1.6s
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 r84198 = x;
        double r84199 = r84198 * r84198;
        double r84200 = 3.0;
        double r84201 = r84199 - r84200;
        double r84202 = 6.0;
        double r84203 = r84201 / r84202;
        return r84203;
}
↓
double f(double x) {
        double r84204 = x;
        double r84205 = r84204 * r84204;
        double r84206 = 3.0;
        double r84207 = r84205 - r84206;
        double r84208 = 6.0;
        double r84209 = r84207 / r84208;
        return r84209;
}

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 2020057 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))