Average Error: 0.0 → 0.0
Time: 23.1s
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
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 r6641651 = x;
        double r6641652 = 2.30753;
        double r6641653 = 0.27061;
        double r6641654 = r6641651 * r6641653;
        double r6641655 = r6641652 + r6641654;
        double r6641656 = 1.0;
        double r6641657 = 0.99229;
        double r6641658 = 0.04481;
        double r6641659 = r6641651 * r6641658;
        double r6641660 = r6641657 + r6641659;
        double r6641661 = r6641660 * r6641651;
        double r6641662 = r6641656 + r6641661;
        double r6641663 = r6641655 / r6641662;
        double r6641664 = r6641651 - r6641663;
        return r6641664;
}
↓
double f(double x) {
        double r6641665 = x;
        double r6641666 = 2.30753;
        double r6641667 = 0.27061;
        double r6641668 = r6641665 * r6641667;
        double r6641669 = r6641666 + r6641668;
        double r6641670 = 1.0;
        double r6641671 = 0.99229;
        double r6641672 = 0.04481;
        double r6641673 = r6641665 * r6641672;
        double r6641674 = r6641671 + r6641673;
        double r6641675 = r6641674 * r6641665;
        double r6641676 = r6641670 + r6641675;
        double r6641677 = r6641669 / r6641676;
        double r6641678 = r6641665 - r6641677;
        return r6641678;
}

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 2019174 
(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)))))