Average Error: 0.0 → 0.0
Time: 5.0s
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 r49611 = 2.30753;
        double r49612 = x;
        double r49613 = 0.27061;
        double r49614 = r49612 * r49613;
        double r49615 = r49611 + r49614;
        double r49616 = 1.0;
        double r49617 = 0.99229;
        double r49618 = 0.04481;
        double r49619 = r49612 * r49618;
        double r49620 = r49617 + r49619;
        double r49621 = r49612 * r49620;
        double r49622 = r49616 + r49621;
        double r49623 = r49615 / r49622;
        double r49624 = r49623 - r49612;
        return r49624;
}
↓
double f(double x) {
        double r49625 = 2.30753;
        double r49626 = x;
        double r49627 = 0.27061;
        double r49628 = r49626 * r49627;
        double r49629 = r49625 + r49628;
        double r49630 = 1.0;
        double r49631 = 0.99229;
        double r49632 = 0.04481;
        double r49633 = r49626 * r49632;
        double r49634 = r49631 + r49633;
        double r49635 = r49626 * r49634;
        double r49636 = r49630 + r49635;
        double r49637 = r49629 / r49636;
        double r49638 = r49637 - r49626;
        return r49638;
}

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 2019322 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* x (+ 0.99229 (* x 0.04481))))) x))