Average Error: 0.0 → 0.0
Time: 10.6s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{2.307529999999999859028321225196123123169 + 0.2706100000000000171951342053944244980812 \cdot x}{1 + \left(0.992290000000000005364597654988756403327 + 0.04481000000000000260680366181986755691469 \cdot x\right) \cdot x} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{2.307529999999999859028321225196123123169 + 0.2706100000000000171951342053944244980812 \cdot x}{1 + \left(0.992290000000000005364597654988756403327 + 0.04481000000000000260680366181986755691469 \cdot x\right) \cdot x} - x
double f(double x) {
        double r73707 = 2.30753;
        double r73708 = x;
        double r73709 = 0.27061;
        double r73710 = r73708 * r73709;
        double r73711 = r73707 + r73710;
        double r73712 = 1.0;
        double r73713 = 0.99229;
        double r73714 = 0.04481;
        double r73715 = r73708 * r73714;
        double r73716 = r73713 + r73715;
        double r73717 = r73708 * r73716;
        double r73718 = r73712 + r73717;
        double r73719 = r73711 / r73718;
        double r73720 = r73719 - r73708;
        return r73720;
}
↓
double f(double x) {
        double r73721 = 2.30753;
        double r73722 = 0.27061;
        double r73723 = x;
        double r73724 = r73722 * r73723;
        double r73725 = r73721 + r73724;
        double r73726 = 1.0;
        double r73727 = 0.99229;
        double r73728 = 0.04481;
        double r73729 = r73728 * r73723;
        double r73730 = r73727 + r73729;
        double r73731 = r73730 * r73723;
        double r73732 = r73726 + r73731;
        double r73733 = r73725 / r73732;
        double r73734 = r73733 - r73723;
        return r73734;
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(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))