Average Error: 0.0 → 0.0
Time: 2.3s
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 r86259 = x;
        double r86260 = 2.30753;
        double r86261 = 0.27061;
        double r86262 = r86259 * r86261;
        double r86263 = r86260 + r86262;
        double r86264 = 1.0;
        double r86265 = 0.99229;
        double r86266 = 0.04481;
        double r86267 = r86259 * r86266;
        double r86268 = r86265 + r86267;
        double r86269 = r86268 * r86259;
        double r86270 = r86264 + r86269;
        double r86271 = r86263 / r86270;
        double r86272 = r86259 - r86271;
        return r86272;
}
↓
double f(double x) {
        double r86273 = x;
        double r86274 = 2.30753;
        double r86275 = 0.27061;
        double r86276 = r86273 * r86275;
        double r86277 = r86274 + r86276;
        double r86278 = 1.0;
        double r86279 = 0.99229;
        double r86280 = 0.04481;
        double r86281 = r86273 * r86280;
        double r86282 = r86279 + r86281;
        double r86283 = r86282 * r86273;
        double r86284 = r86278 + r86283;
        double r86285 = r86277 / r86284;
        double r86286 = r86273 - r86285;
        return r86286;
}

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 2019362 
(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)))))