Average Error: 0.0 → 0.0
Time: 1.8s
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 r74459 = x;
        double r74460 = 2.30753;
        double r74461 = 0.27061;
        double r74462 = r74459 * r74461;
        double r74463 = r74460 + r74462;
        double r74464 = 1.0;
        double r74465 = 0.99229;
        double r74466 = 0.04481;
        double r74467 = r74459 * r74466;
        double r74468 = r74465 + r74467;
        double r74469 = r74468 * r74459;
        double r74470 = r74464 + r74469;
        double r74471 = r74463 / r74470;
        double r74472 = r74459 - r74471;
        return r74472;
}
↓
double f(double x) {
        double r74473 = x;
        double r74474 = 2.30753;
        double r74475 = 0.27061;
        double r74476 = r74473 * r74475;
        double r74477 = r74474 + r74476;
        double r74478 = 1.0;
        double r74479 = 0.99229;
        double r74480 = 0.04481;
        double r74481 = r74473 * r74480;
        double r74482 = r74479 + r74481;
        double r74483 = r74482 * r74473;
        double r74484 = r74478 + r74483;
        double r74485 = r74477 / r74484;
        double r74486 = r74473 - r74485;
        return r74486;
}

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 2019354 
(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)))))