Average Error: 0.1 → 0.1
Time: 9.2s
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 r65273 = x;
        double r65274 = r65273 * r65273;
        double r65275 = 3.0;
        double r65276 = r65274 - r65275;
        double r65277 = 6.0;
        double r65278 = r65276 / r65277;
        return r65278;
}
↓
double f(double x) {
        double r65279 = x;
        double r65280 = r65279 * r65279;
        double r65281 = 3.0;
        double r65282 = r65280 - r65281;
        double r65283 = 6.0;
        double r65284 = r65282 / r65283;
        return r65284;
}

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 2019298 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))