Average Error: 0.0 → 0.0
Time: 10.4s
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 r81028 = x;
        double r81029 = 2.30753;
        double r81030 = 0.27061;
        double r81031 = r81028 * r81030;
        double r81032 = r81029 + r81031;
        double r81033 = 1.0;
        double r81034 = 0.99229;
        double r81035 = 0.04481;
        double r81036 = r81028 * r81035;
        double r81037 = r81034 + r81036;
        double r81038 = r81037 * r81028;
        double r81039 = r81033 + r81038;
        double r81040 = r81032 / r81039;
        double r81041 = r81028 - r81040;
        return r81041;
}
↓
double f(double x) {
        double r81042 = x;
        double r81043 = 2.30753;
        double r81044 = 0.27061;
        double r81045 = r81042 * r81044;
        double r81046 = r81043 + r81045;
        double r81047 = 1.0;
        double r81048 = 0.99229;
        double r81049 = 0.04481;
        double r81050 = r81042 * r81049;
        double r81051 = r81048 + r81050;
        double r81052 = r81051 * r81042;
        double r81053 = r81047 + r81052;
        double r81054 = r81046 / r81053;
        double r81055 = r81042 - r81054;
        return r81055;
}

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 2019294 
(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)))))