Average Error: 0.0 → 0.0
Time: 9.2s
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 r90435 = x;
        double r90436 = 2.30753;
        double r90437 = 0.27061;
        double r90438 = r90435 * r90437;
        double r90439 = r90436 + r90438;
        double r90440 = 1.0;
        double r90441 = 0.99229;
        double r90442 = 0.04481;
        double r90443 = r90435 * r90442;
        double r90444 = r90441 + r90443;
        double r90445 = r90444 * r90435;
        double r90446 = r90440 + r90445;
        double r90447 = r90439 / r90446;
        double r90448 = r90435 - r90447;
        return r90448;
}
↓
double f(double x) {
        double r90449 = x;
        double r90450 = 2.30753;
        double r90451 = 0.27061;
        double r90452 = r90449 * r90451;
        double r90453 = r90450 + r90452;
        double r90454 = 1.0;
        double r90455 = 0.99229;
        double r90456 = 0.04481;
        double r90457 = r90449 * r90456;
        double r90458 = r90455 + r90457;
        double r90459 = r90458 * r90449;
        double r90460 = r90454 + r90459;
        double r90461 = r90453 / r90460;
        double r90462 = r90449 - r90461;
        return r90462;
}

Error

Bits error versus x

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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 2019199 
(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)))))