Average Error: 0.0 → 0.0
Time: 7.7s
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 r36243 = x;
        double r36244 = 2.30753;
        double r36245 = 0.27061;
        double r36246 = r36243 * r36245;
        double r36247 = r36244 + r36246;
        double r36248 = 1.0;
        double r36249 = 0.99229;
        double r36250 = 0.04481;
        double r36251 = r36243 * r36250;
        double r36252 = r36249 + r36251;
        double r36253 = r36252 * r36243;
        double r36254 = r36248 + r36253;
        double r36255 = r36247 / r36254;
        double r36256 = r36243 - r36255;
        return r36256;
}
↓
double f(double x) {
        double r36257 = x;
        double r36258 = 2.30753;
        double r36259 = 0.27061;
        double r36260 = r36257 * r36259;
        double r36261 = r36258 + r36260;
        double r36262 = 1.0;
        double r36263 = 0.99229;
        double r36264 = 0.04481;
        double r36265 = r36257 * r36264;
        double r36266 = r36263 + r36265;
        double r36267 = r36266 * r36257;
        double r36268 = r36262 + r36267;
        double r36269 = r36261 / r36268;
        double r36270 = r36257 - r36269;
        return r36270;
}

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 2019291 
(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)))))