Average Error: 0.0 → 0.0
Time: 930.0ms
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 r116794 = 2.30753;
        double r116795 = x;
        double r116796 = 0.27061;
        double r116797 = r116795 * r116796;
        double r116798 = r116794 + r116797;
        double r116799 = 1.0;
        double r116800 = 0.99229;
        double r116801 = 0.04481;
        double r116802 = r116795 * r116801;
        double r116803 = r116800 + r116802;
        double r116804 = r116795 * r116803;
        double r116805 = r116799 + r116804;
        double r116806 = r116798 / r116805;
        double r116807 = r116806 - r116795;
        return r116807;
}
↓
double f(double x) {
        double r116808 = 2.30753;
        double r116809 = x;
        double r116810 = 0.27061;
        double r116811 = r116809 * r116810;
        double r116812 = r116808 + r116811;
        double r116813 = 1.0;
        double r116814 = 0.99229;
        double r116815 = 0.04481;
        double r116816 = r116809 * r116815;
        double r116817 = r116814 + r116816;
        double r116818 = r116809 * r116817;
        double r116819 = r116813 + r116818;
        double r116820 = r116812 / r116819;
        double r116821 = r116820 - r116809;
        return r116821;
}

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 
(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))