Average Error: 0.0 → 0.0
Time: 3.2s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
double f(double x) {
        double r143916 = x;
        double r143917 = 2.30753;
        double r143918 = 0.27061;
        double r143919 = r143916 * r143918;
        double r143920 = r143917 + r143919;
        double r143921 = 1.0;
        double r143922 = 0.99229;
        double r143923 = 0.04481;
        double r143924 = r143916 * r143923;
        double r143925 = r143922 + r143924;
        double r143926 = r143925 * r143916;
        double r143927 = r143921 + r143926;
        double r143928 = r143920 / r143927;
        double r143929 = r143916 - r143928;
        return r143929;
}
↓
double f(double x) {
        double r143930 = x;
        double r143931 = 2.30753;
        double r143932 = 0.27061;
        double r143933 = r143930 * r143932;
        double r143934 = r143931 + r143933;
        double r143935 = 1.0;
        double r143936 = 0.99229;
        double r143937 = 0.04481;
        double r143938 = r143930 * r143937;
        double r143939 = r143936 + r143938;
        double r143940 = r143939 * r143930;
        double r143941 = r143935 + r143940;
        double r143942 = r143934 / r143941;
        double r143943 = r143930 - r143942;
        return r143943;
}

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

    \[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

Reproduce

herbie shell --seed 2020081 
(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)))))