Average Error: 0.0 → 0.0
Time: 10.5s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}\]
x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}
double f(double x) {
        double r4731477 = x;
        double r4731478 = 2.30753;
        double r4731479 = 0.27061;
        double r4731480 = r4731477 * r4731479;
        double r4731481 = r4731478 + r4731480;
        double r4731482 = 1.0;
        double r4731483 = 0.99229;
        double r4731484 = 0.04481;
        double r4731485 = r4731477 * r4731484;
        double r4731486 = r4731483 + r4731485;
        double r4731487 = r4731486 * r4731477;
        double r4731488 = r4731482 + r4731487;
        double r4731489 = r4731481 / r4731488;
        double r4731490 = r4731477 - r4731489;
        return r4731490;
}
↓
double f(double x) {
        double r4731491 = x;
        double r4731492 = 2.30753;
        double r4731493 = 0.27061;
        double r4731494 = r4731491 * r4731493;
        double r4731495 = r4731492 + r4731494;
        double r4731496 = 0.04481;
        double r4731497 = r4731496 * r4731491;
        double r4731498 = 0.99229;
        double r4731499 = r4731497 + r4731498;
        double r4731500 = r4731499 * r4731491;
        double r4731501 = 1.0;
        double r4731502 = r4731500 + r4731501;
        double r4731503 = r4731495 / r4731502;
        double r4731504 = r4731491 - r4731503;
        return r4731504;
}

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

    \[x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}\]

Reproduce

herbie shell --seed 2019168 
(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)))))