Average Error: 0.0 → 0.0
Time: 4.0s
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 r54952 = x;
        double r54953 = 2.30753;
        double r54954 = 0.27061;
        double r54955 = r54952 * r54954;
        double r54956 = r54953 + r54955;
        double r54957 = 1.0;
        double r54958 = 0.99229;
        double r54959 = 0.04481;
        double r54960 = r54952 * r54959;
        double r54961 = r54958 + r54960;
        double r54962 = r54961 * r54952;
        double r54963 = r54957 + r54962;
        double r54964 = r54956 / r54963;
        double r54965 = r54952 - r54964;
        return r54965;
}
↓
double f(double x) {
        double r54966 = x;
        double r54967 = 2.30753;
        double r54968 = 0.27061;
        double r54969 = r54966 * r54968;
        double r54970 = r54967 + r54969;
        double r54971 = 1.0;
        double r54972 = 0.99229;
        double r54973 = 0.04481;
        double r54974 = r54966 * r54973;
        double r54975 = r54972 + r54974;
        double r54976 = r54975 * r54966;
        double r54977 = r54971 + r54976;
        double r54978 = r54970 / r54977;
        double r54979 = r54966 - r54978;
        return r54979;
}

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 2019308 
(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)))))