Average Error: 0.0 → 0.0
Time: 15.2s
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 r85347 = x;
        double r85348 = 2.30753;
        double r85349 = 0.27061;
        double r85350 = r85347 * r85349;
        double r85351 = r85348 + r85350;
        double r85352 = 1.0;
        double r85353 = 0.99229;
        double r85354 = 0.04481;
        double r85355 = r85347 * r85354;
        double r85356 = r85353 + r85355;
        double r85357 = r85356 * r85347;
        double r85358 = r85352 + r85357;
        double r85359 = r85351 / r85358;
        double r85360 = r85347 - r85359;
        return r85360;
}
↓
double f(double x) {
        double r85361 = x;
        double r85362 = 2.30753;
        double r85363 = 0.27061;
        double r85364 = r85361 * r85363;
        double r85365 = r85362 + r85364;
        double r85366 = 1.0;
        double r85367 = 0.99229;
        double r85368 = 0.04481;
        double r85369 = r85361 * r85368;
        double r85370 = r85367 + r85369;
        double r85371 = r85370 * r85361;
        double r85372 = r85366 + r85371;
        double r85373 = r85365 / r85372;
        double r85374 = r85361 - r85373;
        return r85374;
}

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 2019303 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* (+ 0.992290000000000005 (* x 0.044810000000000003)) x)))))