Average Error: 0.1 → 0.0
Time: 4.9s
Precision: 64
\[\frac{1}{x + 2} \cdot \left(x - 2\right)\]
\[1 \cdot \frac{x - 2}{x + 2}\]
\frac{1}{x + 2} \cdot \left(x - 2\right)
1 \cdot \frac{x - 2}{x + 2}
double f(double x) {
        double r24178 = 1.0;
        double r24179 = x;
        double r24180 = 2.0;
        double r24181 = r24179 + r24180;
        double r24182 = r24178 / r24181;
        double r24183 = r24179 - r24180;
        double r24184 = r24182 * r24183;
        return r24184;
}

double f(double x) {
        double r24185 = 1.0;
        double r24186 = x;
        double r24187 = 2.0;
        double r24188 = r24186 - r24187;
        double r24189 = r24186 + r24187;
        double r24190 = r24188 / r24189;
        double r24191 = r24185 * r24190;
        return r24191;
}

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

    \[\frac{1}{x + 2} \cdot \left(x - 2\right)\]
  2. Using strategy rm
  3. Applied div-inv0.1

    \[\leadsto \color{blue}{\left(1 \cdot \frac{1}{x + 2}\right)} \cdot \left(x - 2\right)\]
  4. Applied associate-*l*0.1

    \[\leadsto \color{blue}{1 \cdot \left(\frac{1}{x + 2} \cdot \left(x - 2\right)\right)}\]
  5. Simplified0.0

    \[\leadsto 1 \cdot \color{blue}{\frac{x - 2}{x + 2}}\]
  6. Final simplification0.0

    \[\leadsto 1 \cdot \frac{x - 2}{x + 2}\]

Reproduce

herbie shell --seed 1 
(FPCore (x)
  :name "1/(x+2)(x-2)"
  :precision binary64
  (* (/ 1 (+ x 2)) (- x 2)))