Average Error: 0.0 → 0.0
Time: 2.1s
Precision: 64
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
↓
\[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
↓
x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}
double f(double x) {
        double r98386 = x;
        double r98387 = 2.30753;
        double r98388 = 0.27061;
        double r98389 = r98386 * r98388;
        double r98390 = r98387 + r98389;
        double r98391 = 1.0;
        double r98392 = 0.99229;
        double r98393 = 0.04481;
        double r98394 = r98386 * r98393;
        double r98395 = r98392 + r98394;
        double r98396 = r98395 * r98386;
        double r98397 = r98391 + r98396;
        double r98398 = r98390 / r98397;
        double r98399 = r98386 - r98398;
        return r98399;
}
↓
double f(double x) {
        double r98400 = x;
        double r98401 = 2.30753;
        double r98402 = 0.27061;
        double r98403 = r98400 * r98402;
        double r98404 = r98401 + r98403;
        double r98405 = 1.0;
        double r98406 = 0.99229;
        double r98407 = 0.04481;
        double r98408 = r98400 * r98407;
        double r98409 = r98406 + r98408;
        double r98410 = r98409 * r98400;
        double r98411 = r98405 + r98410;
        double r98412 = r98404 / r98411;
        double r98413 = r98400 - r98412;
        return r98413;
}

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

    \[x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

  2. Final simplification0.0

    \[\leadsto x - \frac{2.30753 + x \cdot 0.27061000000000002}{1 + \left(0.992290000000000005 + x \cdot 0.044810000000000003\right) \cdot x}\]

Reproduce

herbie shell --seed 2020036 
(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)))))