Average Error: 0.0 → 0.0
Time: 7.0s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\left(0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169\right) \cdot \frac{1}{1 + \left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\left(0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169\right) \cdot \frac{1}{1 + \left(0.04481000000000000260680366181986755691469 \cdot x + 0.992290000000000005364597654988756403327\right) \cdot x} - x
double f(double x) {
        double r3002722 = 2.30753;
        double r3002723 = x;
        double r3002724 = 0.27061;
        double r3002725 = r3002723 * r3002724;
        double r3002726 = r3002722 + r3002725;
        double r3002727 = 1.0;
        double r3002728 = 0.99229;
        double r3002729 = 0.04481;
        double r3002730 = r3002723 * r3002729;
        double r3002731 = r3002728 + r3002730;
        double r3002732 = r3002723 * r3002731;
        double r3002733 = r3002727 + r3002732;
        double r3002734 = r3002726 / r3002733;
        double r3002735 = r3002734 - r3002723;
        return r3002735;
}
↓
double f(double x) {
        double r3002736 = 0.27061;
        double r3002737 = x;
        double r3002738 = r3002736 * r3002737;
        double r3002739 = 2.30753;
        double r3002740 = r3002738 + r3002739;
        double r3002741 = 1.0;
        double r3002742 = 1.0;
        double r3002743 = 0.04481;
        double r3002744 = r3002743 * r3002737;
        double r3002745 = 0.99229;
        double r3002746 = r3002744 + r3002745;
        double r3002747 = r3002746 * r3002737;
        double r3002748 = r3002742 + r3002747;
        double r3002749 = r3002741 / r3002748;
        double r3002750 = r3002740 * r3002749;
        double r3002751 = r3002750 - r3002737;
        return r3002751;
}

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. Using strategy rm

  3. Applied div-inv0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019172 
(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))