Average Error: 0.0 → 0.0
Time: 7.3s
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 r65043 = x;
        double r65044 = 2.30753;
        double r65045 = 0.27061;
        double r65046 = r65043 * r65045;
        double r65047 = r65044 + r65046;
        double r65048 = 1.0;
        double r65049 = 0.99229;
        double r65050 = 0.04481;
        double r65051 = r65043 * r65050;
        double r65052 = r65049 + r65051;
        double r65053 = r65052 * r65043;
        double r65054 = r65048 + r65053;
        double r65055 = r65047 / r65054;
        double r65056 = r65043 - r65055;
        return r65056;
}
↓
double f(double x) {
        double r65057 = x;
        double r65058 = 2.30753;
        double r65059 = 0.27061;
        double r65060 = r65057 * r65059;
        double r65061 = r65058 + r65060;
        double r65062 = 1.0;
        double r65063 = 0.99229;
        double r65064 = 0.04481;
        double r65065 = r65057 * r65064;
        double r65066 = r65063 + r65065;
        double r65067 = r65066 * r65057;
        double r65068 = r65062 + r65067;
        double r65069 = r65061 / r65068;
        double r65070 = r65057 - r65069;
        return r65070;
}

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 2019297 
(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)))))