Average Error: 0.0 → 0.0
Time: 6.8s
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 r86323 = x;
        double r86324 = 2.30753;
        double r86325 = 0.27061;
        double r86326 = r86323 * r86325;
        double r86327 = r86324 + r86326;
        double r86328 = 1.0;
        double r86329 = 0.99229;
        double r86330 = 0.04481;
        double r86331 = r86323 * r86330;
        double r86332 = r86329 + r86331;
        double r86333 = r86332 * r86323;
        double r86334 = r86328 + r86333;
        double r86335 = r86327 / r86334;
        double r86336 = r86323 - r86335;
        return r86336;
}
↓
double f(double x) {
        double r86337 = x;
        double r86338 = 2.30753;
        double r86339 = 0.27061;
        double r86340 = r86337 * r86339;
        double r86341 = r86338 + r86340;
        double r86342 = 1.0;
        double r86343 = 0.99229;
        double r86344 = 0.04481;
        double r86345 = r86337 * r86344;
        double r86346 = r86343 + r86345;
        double r86347 = r86346 * r86337;
        double r86348 = r86342 + r86347;
        double r86349 = r86341 / r86348;
        double r86350 = r86337 - r86349;
        return r86350;
}

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 2020046 
(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)))))