Average Error: 0.0 → 0.0
Time: 2.0s
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 r100479 = x;
        double r100480 = 2.30753;
        double r100481 = 0.27061;
        double r100482 = r100479 * r100481;
        double r100483 = r100480 + r100482;
        double r100484 = 1.0;
        double r100485 = 0.99229;
        double r100486 = 0.04481;
        double r100487 = r100479 * r100486;
        double r100488 = r100485 + r100487;
        double r100489 = r100488 * r100479;
        double r100490 = r100484 + r100489;
        double r100491 = r100483 / r100490;
        double r100492 = r100479 - r100491;
        return r100492;
}
↓
double f(double x) {
        double r100493 = x;
        double r100494 = 2.30753;
        double r100495 = 0.27061;
        double r100496 = r100493 * r100495;
        double r100497 = r100494 + r100496;
        double r100498 = 1.0;
        double r100499 = 0.99229;
        double r100500 = 0.04481;
        double r100501 = r100493 * r100500;
        double r100502 = r100499 + r100501;
        double r100503 = r100502 * r100493;
        double r100504 = r100498 + r100503;
        double r100505 = r100497 / r100504;
        double r100506 = r100493 - r100505;
        return r100506;
}

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 2020018 
(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)))))