Average Error: 0.0 → 0.0
Time: 9.2s
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 r74649 = x;
        double r74650 = 2.30753;
        double r74651 = 0.27061;
        double r74652 = r74649 * r74651;
        double r74653 = r74650 + r74652;
        double r74654 = 1.0;
        double r74655 = 0.99229;
        double r74656 = 0.04481;
        double r74657 = r74649 * r74656;
        double r74658 = r74655 + r74657;
        double r74659 = r74658 * r74649;
        double r74660 = r74654 + r74659;
        double r74661 = r74653 / r74660;
        double r74662 = r74649 - r74661;
        return r74662;
}
↓
double f(double x) {
        double r74663 = x;
        double r74664 = 2.30753;
        double r74665 = 0.27061;
        double r74666 = r74663 * r74665;
        double r74667 = r74664 + r74666;
        double r74668 = 1.0;
        double r74669 = 0.99229;
        double r74670 = 0.04481;
        double r74671 = r74663 * r74670;
        double r74672 = r74669 + r74671;
        double r74673 = r74672 * r74663;
        double r74674 = r74668 + r74673;
        double r74675 = r74667 / r74674;
        double r74676 = r74663 - r74675;
        return r74676;
}

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 2019325 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* (+ 0.99229 (* x 0.04481)) x)))))