Average Error: 0.0 → 0.0
Time: 2.2s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
double f(double x) {
        double r71688 = x;
        double r71689 = 2.30753;
        double r71690 = 0.27061;
        double r71691 = r71688 * r71690;
        double r71692 = r71689 + r71691;
        double r71693 = 1.0;
        double r71694 = 0.99229;
        double r71695 = 0.04481;
        double r71696 = r71688 * r71695;
        double r71697 = r71694 + r71696;
        double r71698 = r71697 * r71688;
        double r71699 = r71693 + r71698;
        double r71700 = r71692 / r71699;
        double r71701 = r71688 - r71700;
        return r71701;
}
↓
double f(double x) {
        double r71702 = x;
        double r71703 = 2.30753;
        double r71704 = 0.27061;
        double r71705 = r71702 * r71704;
        double r71706 = r71703 + r71705;
        double r71707 = 1.0;
        double r71708 = 0.99229;
        double r71709 = 0.04481;
        double r71710 = r71702 * r71709;
        double r71711 = r71708 + r71710;
        double r71712 = r71711 * r71702;
        double r71713 = r71707 + r71712;
        double r71714 = r71706 / r71713;
        double r71715 = r71702 - r71714;
        return r71715;
}

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

    \[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

Reproduce

herbie shell --seed 2020100 
(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)))))