Average Error: 0.0 → 0.0
Time: 5.4s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
double f(double x) {
        double r42498 = 2.30753;
        double r42499 = x;
        double r42500 = 0.27061;
        double r42501 = r42499 * r42500;
        double r42502 = r42498 + r42501;
        double r42503 = 1.0;
        double r42504 = 0.99229;
        double r42505 = 0.04481;
        double r42506 = r42499 * r42505;
        double r42507 = r42504 + r42506;
        double r42508 = r42499 * r42507;
        double r42509 = r42503 + r42508;
        double r42510 = r42502 / r42509;
        double r42511 = r42510 - r42499;
        return r42511;
}
↓
double f(double x) {
        double r42512 = 2.30753;
        double r42513 = x;
        double r42514 = 0.27061;
        double r42515 = r42513 * r42514;
        double r42516 = r42512 + r42515;
        double r42517 = 1.0;
        double r42518 = 0.99229;
        double r42519 = 0.04481;
        double r42520 = r42513 * r42519;
        double r42521 = r42518 + r42520;
        double r42522 = r42513 * r42521;
        double r42523 = r42517 + r42522;
        double r42524 = r42516 / r42523;
        double r42525 = r42524 - r42513;
        return r42525;
}

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

    \[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]

  2. Final simplification0.0

    \[\leadsto \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]

Reproduce

herbie shell --seed 2019304 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* x (+ 0.992290000000000005 (* x 0.044810000000000003))))) x))