Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
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}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}
double f(double x) {
        double r100954 = x;
        double r100955 = 2.30753;
        double r100956 = 0.27061;
        double r100957 = r100954 * r100956;
        double r100958 = r100955 + r100957;
        double r100959 = 1.0;
        double r100960 = 0.99229;
        double r100961 = 0.04481;
        double r100962 = r100954 * r100961;
        double r100963 = r100960 + r100962;
        double r100964 = r100963 * r100954;
        double r100965 = r100959 + r100964;
        double r100966 = r100958 / r100965;
        double r100967 = r100954 - r100966;
        return r100967;
}
↓
double f(double x) {
        double r100968 = x;
        double r100969 = 2.30753;
        double r100970 = 0.27061;
        double r100971 = r100968 * r100970;
        double r100972 = r100969 + r100971;
        double r100973 = 1.0;
        double r100974 = 0.99229;
        double r100975 = 0.04481;
        double r100976 = r100968 * r100975;
        double r100977 = r100974 + r100976;
        double r100978 = r100977 * r100968;
        double r100979 = r100973 + r100978;
        double r100980 = r100972 / r100979;
        double r100981 = r100968 - r100980;
        return r100981;
}

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

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

Reproduce

herbie shell --seed 2019322 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* (+ 0.992290000000000005 (* x 0.044810000000000003)) x)))))