Average Error: 0.0 → 0.0
Time: 6.1s
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}\]
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}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}
double f(double x) {
        double r3679998 = x;
        double r3679999 = 2.30753;
        double r3680000 = 0.27061;
        double r3680001 = r3679998 * r3680000;
        double r3680002 = r3679999 + r3680001;
        double r3680003 = 1.0;
        double r3680004 = 0.99229;
        double r3680005 = 0.04481;
        double r3680006 = r3679998 * r3680005;
        double r3680007 = r3680004 + r3680006;
        double r3680008 = r3680007 * r3679998;
        double r3680009 = r3680003 + r3680008;
        double r3680010 = r3680002 / r3680009;
        double r3680011 = r3679998 - r3680010;
        return r3680011;
}
↓
double f(double x) {
        double r3680012 = x;
        double r3680013 = 2.30753;
        double r3680014 = 0.27061;
        double r3680015 = r3680012 * r3680014;
        double r3680016 = r3680013 + r3680015;
        double r3680017 = 0.04481;
        double r3680018 = r3680017 * r3680012;
        double r3680019 = 0.99229;
        double r3680020 = r3680018 + r3680019;
        double r3680021 = r3680020 * r3680012;
        double r3680022 = 1.0;
        double r3680023 = r3680021 + r3680022;
        double r3680024 = r3680016 / r3680023;
        double r3680025 = r3680012 - r3680024;
        return r3680025;
}

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

    \[\leadsto x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))