Average Error: 0.0 → 0.0
Time: 12.3s
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}\]
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}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}
double f(double x) {
        double r89221 = x;
        double r89222 = 2.30753;
        double r89223 = 0.27061;
        double r89224 = r89221 * r89223;
        double r89225 = r89222 + r89224;
        double r89226 = 1.0;
        double r89227 = 0.99229;
        double r89228 = 0.04481;
        double r89229 = r89221 * r89228;
        double r89230 = r89227 + r89229;
        double r89231 = r89230 * r89221;
        double r89232 = r89226 + r89231;
        double r89233 = r89225 / r89232;
        double r89234 = r89221 - r89233;
        return r89234;
}
↓
double f(double x) {
        double r89235 = x;
        double r89236 = 2.30753;
        double r89237 = 0.27061;
        double r89238 = r89235 * r89237;
        double r89239 = r89236 + r89238;
        double r89240 = 0.04481;
        double r89241 = r89240 * r89235;
        double r89242 = 0.99229;
        double r89243 = r89241 + r89242;
        double r89244 = r89243 * r89235;
        double r89245 = 1.0;
        double r89246 = r89244 + r89245;
        double r89247 = r89239 / r89246;
        double r89248 = r89235 - r89247;
        return r89248;
}

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

    \[\leadsto x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{\left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x + 1}\]

Reproduce

herbie shell --seed 2019174 
(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)))))