Average Error: 0.0 → 0.0
Time: 994.0ms
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 r53796 = 2.30753;
        double r53797 = x;
        double r53798 = 0.27061;
        double r53799 = r53797 * r53798;
        double r53800 = r53796 + r53799;
        double r53801 = 1.0;
        double r53802 = 0.99229;
        double r53803 = 0.04481;
        double r53804 = r53797 * r53803;
        double r53805 = r53802 + r53804;
        double r53806 = r53797 * r53805;
        double r53807 = r53801 + r53806;
        double r53808 = r53800 / r53807;
        double r53809 = r53808 - r53797;
        return r53809;
}
↓
double f(double x) {
        double r53810 = 2.30753;
        double r53811 = x;
        double r53812 = 0.27061;
        double r53813 = r53811 * r53812;
        double r53814 = r53810 + r53813;
        double r53815 = 1.0;
        double r53816 = 0.99229;
        double r53817 = 0.04481;
        double r53818 = r53811 * r53817;
        double r53819 = r53816 + r53818;
        double r53820 = r53811 * r53819;
        double r53821 = r53815 + r53820;
        double r53822 = r53814 / r53821;
        double r53823 = r53822 - r53811;
        return r53823;
}

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 2020001 +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))