Average Error: 0.0 → 0.0
Time: 15.7s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x
double f(double x) {
        double r3387213 = 2.30753;
        double r3387214 = x;
        double r3387215 = 0.27061;
        double r3387216 = r3387214 * r3387215;
        double r3387217 = r3387213 + r3387216;
        double r3387218 = 1.0;
        double r3387219 = 0.99229;
        double r3387220 = 0.04481;
        double r3387221 = r3387214 * r3387220;
        double r3387222 = r3387219 + r3387221;
        double r3387223 = r3387214 * r3387222;
        double r3387224 = r3387218 + r3387223;
        double r3387225 = r3387217 / r3387224;
        double r3387226 = r3387225 - r3387214;
        return r3387226;
}
↓
double f(double x) {
        double r3387227 = 0.27061;
        double r3387228 = x;
        double r3387229 = r3387227 * r3387228;
        double r3387230 = 2.30753;
        double r3387231 = r3387229 + r3387230;
        double r3387232 = 0.04481;
        double r3387233 = r3387228 * r3387232;
        double r3387234 = 0.99229;
        double r3387235 = r3387233 + r3387234;
        double r3387236 = r3387228 * r3387235;
        double r3387237 = 1.0;
        double r3387238 = r3387236 + r3387237;
        double r3387239 = r3387231 / r3387238;
        double r3387240 = r3387239 - r3387228;
        return r3387240;
}

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

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

Reproduce

herbie shell --seed 2019168 
(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))