Average Error: 0.0 → 0.0
Time: 9.9s
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}\]
x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}
↓
x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}
double f(double x) {
        double r76972 = x;
        double r76973 = 2.30753;
        double r76974 = 0.27061;
        double r76975 = r76972 * r76974;
        double r76976 = r76973 + r76975;
        double r76977 = 1.0;
        double r76978 = 0.99229;
        double r76979 = 0.04481;
        double r76980 = r76972 * r76979;
        double r76981 = r76978 + r76980;
        double r76982 = r76981 * r76972;
        double r76983 = r76977 + r76982;
        double r76984 = r76976 / r76983;
        double r76985 = r76972 - r76984;
        return r76985;
}
↓
double f(double x) {
        double r76986 = x;
        double r76987 = 2.30753;
        double r76988 = 0.27061;
        double r76989 = r76986 * r76988;
        double r76990 = r76987 + r76989;
        double r76991 = 0.04481;
        double r76992 = r76991 * r76986;
        double r76993 = 0.99229;
        double r76994 = r76992 + r76993;
        double r76995 = r76994 * r76986;
        double r76996 = 1.0;
        double r76997 = r76995 + r76996;
        double r76998 = r76990 / r76997;
        double r76999 = r76986 - r76998;
        return r76999;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}\]

Reproduce

herbie shell --seed 2019196 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))