Average Error: 0.0 → 0.0
Time: 18.4s
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 r4770181 = x;
        double r4770182 = 2.30753;
        double r4770183 = 0.27061;
        double r4770184 = r4770181 * r4770183;
        double r4770185 = r4770182 + r4770184;
        double r4770186 = 1.0;
        double r4770187 = 0.99229;
        double r4770188 = 0.04481;
        double r4770189 = r4770181 * r4770188;
        double r4770190 = r4770187 + r4770189;
        double r4770191 = r4770190 * r4770181;
        double r4770192 = r4770186 + r4770191;
        double r4770193 = r4770185 / r4770192;
        double r4770194 = r4770181 - r4770193;
        return r4770194;
}
↓
double f(double x) {
        double r4770195 = x;
        double r4770196 = 2.30753;
        double r4770197 = 0.27061;
        double r4770198 = r4770195 * r4770197;
        double r4770199 = r4770196 + r4770198;
        double r4770200 = 0.04481;
        double r4770201 = r4770200 * r4770195;
        double r4770202 = 0.99229;
        double r4770203 = r4770201 + r4770202;
        double r4770204 = r4770203 * r4770195;
        double r4770205 = 1.0;
        double r4770206 = r4770204 + r4770205;
        double r4770207 = r4770199 / r4770206;
        double r4770208 = r4770195 - r4770207;
        return r4770208;
}

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 2019164 
(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)))))