Average Error: 0.6 → 0.6
Time: 17.7s
Precision: 64
\[\left(\frac{1}{\left(x + 1\right)}\right) - \left(\frac{1}{x}\right)\]
↓
\[\left(\frac{1}{\left(x + 1\right)}\right) - \left(\frac{1}{x}\right)\]
\left(\frac{1}{\left(x + 1\right)}\right) - \left(\frac{1}{x}\right)
↓
\left(\frac{1}{\left(x + 1\right)}\right) - \left(\frac{1}{x}\right)
double f(double x) {
        double r11041452 = /* ERROR: no support for value #<cpointer:posit16> in C */;
        double r11041453 = x;
        double r11041454 = /* ERROR: no support for value #<cpointer:posit16> in C */;
        double r11041455 = r11041453 + r11041454;
        double r11041456 = r11041452 / r11041455;
        double r11041457 = /* ERROR: no support for value #<cpointer:posit16> in C */;
        double r11041458 = r11041457 / r11041453;
        double r11041459 = r11041456 - r11041458;
        return r11041459;
}
↓
double f(double x) {
        double r11041460 = /* ERROR: no support for value #<cpointer:posit16> in C */;
        double r11041461 = x;
        double r11041462 = /* ERROR: no support for value #<cpointer:posit16> in C */;
        double r11041463 = r11041461 + r11041462;
        double r11041464 = r11041460 / r11041463;
        double r11041465 = /* ERROR: no support for value #<cpointer:posit16> in C */;
        double r11041466 = r11041465 / r11041461;
        double r11041467 = r11041464 - r11041466;
        return r11041467;
}

Error

Bits error versus x

Derivation

  1. Initial program 0.6

    \[\left(\frac{1}{\left(x + 1\right)}\right) - \left(\frac{1}{x}\right)\]

  2. Final simplification0.6

    \[\leadsto \left(\frac{1}{\left(x + 1\right)}\right) - \left(\frac{1}{x}\right)\]

Reproduce

herbie shell --seed 0 
(FPCore (x)
  :name "2frac (problem 3.3.1)"
  (-.p16 (/.p16 #<cpointer:posit16> (+.p16 x #<cpointer:posit16>)) (/.p16 #<cpointer:posit16> x)))