Average Error: 0.0 → 0.0
Time: 27.9s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}\]
x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}
double f(double x) {
        double r4691262 = x;
        double r4691263 = 2.30753;
        double r4691264 = 0.27061;
        double r4691265 = r4691262 * r4691264;
        double r4691266 = r4691263 + r4691265;
        double r4691267 = 1.0;
        double r4691268 = 0.99229;
        double r4691269 = 0.04481;
        double r4691270 = r4691262 * r4691269;
        double r4691271 = r4691268 + r4691270;
        double r4691272 = r4691271 * r4691262;
        double r4691273 = r4691267 + r4691272;
        double r4691274 = r4691266 / r4691273;
        double r4691275 = r4691262 - r4691274;
        return r4691275;
}
↓
double f(double x) {
        double r4691276 = x;
        double r4691277 = 2.30753;
        double r4691278 = 0.27061;
        double r4691279 = r4691276 * r4691278;
        double r4691280 = r4691277 + r4691279;
        double r4691281 = 0.04481;
        double r4691282 = r4691281 * r4691276;
        double r4691283 = 0.99229;
        double r4691284 = r4691282 + r4691283;
        double r4691285 = r4691284 * r4691276;
        double r4691286 = 1.0;
        double r4691287 = r4691285 + r4691286;
        double r4691288 = r4691280 / r4691287;
        double r4691289 = r4691276 - r4691288;
        return r4691289;
}

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

    \[x - \frac{2.30753 + x \cdot 0.27061}{1.0 + \left(0.99229 + x \cdot 0.04481\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061}{\left(0.04481 \cdot x + 0.99229\right) \cdot x + 1.0}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))