Average Error: 0.0 → 0.0
Time: 4.0s
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 r55361 = x;
        double r55362 = 2.30753;
        double r55363 = 0.27061;
        double r55364 = r55361 * r55363;
        double r55365 = r55362 + r55364;
        double r55366 = 1.0;
        double r55367 = 0.99229;
        double r55368 = 0.04481;
        double r55369 = r55361 * r55368;
        double r55370 = r55367 + r55369;
        double r55371 = r55370 * r55361;
        double r55372 = r55366 + r55371;
        double r55373 = r55365 / r55372;
        double r55374 = r55361 - r55373;
        return r55374;
}
↓
double f(double x) {
        double r55375 = x;
        double r55376 = 2.30753;
        double r55377 = 0.27061;
        double r55378 = r55375 * r55377;
        double r55379 = r55376 + r55378;
        double r55380 = 1.0;
        double r55381 = 0.99229;
        double r55382 = 0.04481;
        double r55383 = r55375 * r55382;
        double r55384 = r55381 + r55383;
        double r55385 = r55384 * r55375;
        double r55386 = r55380 + r55385;
        double r55387 = r55379 / r55386;
        double r55388 = r55375 - r55387;
        return r55388;
}

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 1978988140 
(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)))))