Average Error: 0.0 → 0.0
Time: 13.1s
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 r64014 = 2.30753;
        double r64015 = x;
        double r64016 = 0.27061;
        double r64017 = r64015 * r64016;
        double r64018 = r64014 + r64017;
        double r64019 = 1.0;
        double r64020 = 0.99229;
        double r64021 = 0.04481;
        double r64022 = r64015 * r64021;
        double r64023 = r64020 + r64022;
        double r64024 = r64015 * r64023;
        double r64025 = r64019 + r64024;
        double r64026 = r64018 / r64025;
        double r64027 = r64026 - r64015;
        return r64027;
}
↓
double f(double x) {
        double r64028 = 2.30753;
        double r64029 = 0.27061;
        double r64030 = x;
        double r64031 = r64029 * r64030;
        double r64032 = r64028 + r64031;
        double r64033 = 1.0;
        double r64034 = 0.99229;
        double r64035 = 0.04481;
        double r64036 = r64035 * r64030;
        double r64037 = r64034 + r64036;
        double r64038 = r64037 * r64030;
        double r64039 = r64033 + r64038;
        double r64040 = r64032 / r64039;
        double r64041 = r64040 - r64030;
        return r64041;
}

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 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))