Average Error: 0.0 → 0.0
Time: 8.7s
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 r59950 = x;
        double r59951 = 2.30753;
        double r59952 = 0.27061;
        double r59953 = r59950 * r59952;
        double r59954 = r59951 + r59953;
        double r59955 = 1.0;
        double r59956 = 0.99229;
        double r59957 = 0.04481;
        double r59958 = r59950 * r59957;
        double r59959 = r59956 + r59958;
        double r59960 = r59959 * r59950;
        double r59961 = r59955 + r59960;
        double r59962 = r59954 / r59961;
        double r59963 = r59950 - r59962;
        return r59963;
}
↓
double f(double x) {
        double r59964 = x;
        double r59965 = 2.30753;
        double r59966 = 0.27061;
        double r59967 = r59964 * r59966;
        double r59968 = r59965 + r59967;
        double r59969 = 1.0;
        double r59970 = 0.99229;
        double r59971 = 0.04481;
        double r59972 = r59964 * r59971;
        double r59973 = r59970 + r59972;
        double r59974 = r59973 * r59964;
        double r59975 = r59969 + r59974;
        double r59976 = r59968 / r59975;
        double r59977 = r59964 - r59976;
        return r59977;
}

Error

Bits error versus x

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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 2019325 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* (+ 0.99229 (* x 0.04481)) x)))))