Average Error: 0.0 → 0.0
Time: 1.3s
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 r66722 = 2.30753;
        double r66723 = x;
        double r66724 = 0.27061;
        double r66725 = r66723 * r66724;
        double r66726 = r66722 + r66725;
        double r66727 = 1.0;
        double r66728 = 0.99229;
        double r66729 = 0.04481;
        double r66730 = r66723 * r66729;
        double r66731 = r66728 + r66730;
        double r66732 = r66723 * r66731;
        double r66733 = r66727 + r66732;
        double r66734 = r66726 / r66733;
        double r66735 = r66734 - r66723;
        return r66735;
}
↓
double f(double x) {
        double r66736 = 2.30753;
        double r66737 = x;
        double r66738 = 0.27061;
        double r66739 = r66737 * r66738;
        double r66740 = r66736 + r66739;
        double r66741 = 1.0;
        double r66742 = 0.99229;
        double r66743 = 0.04481;
        double r66744 = r66737 * r66743;
        double r66745 = r66742 + r66744;
        double r66746 = r66737 * r66745;
        double r66747 = r66741 + r66746;
        double r66748 = r66740 / r66747;
        double r66749 = r66748 - r66737;
        return r66749;
}

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 2019353 +o rules:numerics
(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))