Average Error: 0.0 → 0.0
Time: 1.1s
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 r77459 = x;
        double r77460 = 2.30753;
        double r77461 = 0.27061;
        double r77462 = r77459 * r77461;
        double r77463 = r77460 + r77462;
        double r77464 = 1.0;
        double r77465 = 0.99229;
        double r77466 = 0.04481;
        double r77467 = r77459 * r77466;
        double r77468 = r77465 + r77467;
        double r77469 = r77468 * r77459;
        double r77470 = r77464 + r77469;
        double r77471 = r77463 / r77470;
        double r77472 = r77459 - r77471;
        return r77472;
}
↓
double f(double x) {
        double r77473 = x;
        double r77474 = 2.30753;
        double r77475 = 0.27061;
        double r77476 = r77473 * r77475;
        double r77477 = r77474 + r77476;
        double r77478 = 1.0;
        double r77479 = 0.99229;
        double r77480 = 0.04481;
        double r77481 = r77473 * r77480;
        double r77482 = r77479 + r77481;
        double r77483 = r77482 * r77473;
        double r77484 = r77478 + r77483;
        double r77485 = r77477 / r77484;
        double r77486 = r77473 - r77485;
        return r77486;
}

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 2019353 
(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)))))