Average Error: 0.0 → 0.0
Time: 8.2s
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 r54390 = x;
        double r54391 = 2.30753;
        double r54392 = 0.27061;
        double r54393 = r54390 * r54392;
        double r54394 = r54391 + r54393;
        double r54395 = 1.0;
        double r54396 = 0.99229;
        double r54397 = 0.04481;
        double r54398 = r54390 * r54397;
        double r54399 = r54396 + r54398;
        double r54400 = r54399 * r54390;
        double r54401 = r54395 + r54400;
        double r54402 = r54394 / r54401;
        double r54403 = r54390 - r54402;
        return r54403;
}
↓
double f(double x) {
        double r54404 = x;
        double r54405 = 2.30753;
        double r54406 = 0.27061;
        double r54407 = r54404 * r54406;
        double r54408 = r54405 + r54407;
        double r54409 = 1.0;
        double r54410 = 0.99229;
        double r54411 = 0.04481;
        double r54412 = r54404 * r54411;
        double r54413 = r54410 + r54412;
        double r54414 = r54413 * r54404;
        double r54415 = r54409 + r54414;
        double r54416 = r54408 / r54415;
        double r54417 = r54404 - r54416;
        return r54417;
}

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 2019304 
(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)))))