Average Error: 0.0 → 0.0
Time: 20.7s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x
double f(double x) {
        double r3530744 = 2.30753;
        double r3530745 = x;
        double r3530746 = 0.27061;
        double r3530747 = r3530745 * r3530746;
        double r3530748 = r3530744 + r3530747;
        double r3530749 = 1.0;
        double r3530750 = 0.99229;
        double r3530751 = 0.04481;
        double r3530752 = r3530745 * r3530751;
        double r3530753 = r3530750 + r3530752;
        double r3530754 = r3530745 * r3530753;
        double r3530755 = r3530749 + r3530754;
        double r3530756 = r3530748 / r3530755;
        double r3530757 = r3530756 - r3530745;
        return r3530757;
}
↓
double f(double x) {
        double r3530758 = 0.27061;
        double r3530759 = x;
        double r3530760 = r3530758 * r3530759;
        double r3530761 = 2.30753;
        double r3530762 = r3530760 + r3530761;
        double r3530763 = 0.04481;
        double r3530764 = r3530759 * r3530763;
        double r3530765 = 0.99229;
        double r3530766 = r3530764 + r3530765;
        double r3530767 = r3530759 * r3530766;
        double r3530768 = 1.0;
        double r3530769 = r3530767 + r3530768;
        double r3530770 = r3530762 / r3530769;
        double r3530771 = r3530770 - r3530759;
        return r3530771;
}

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

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))