Average Error: 0.0 → 0.0
Time: 18.0s
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 r4762584 = 2.30753;
        double r4762585 = x;
        double r4762586 = 0.27061;
        double r4762587 = r4762585 * r4762586;
        double r4762588 = r4762584 + r4762587;
        double r4762589 = 1.0;
        double r4762590 = 0.99229;
        double r4762591 = 0.04481;
        double r4762592 = r4762585 * r4762591;
        double r4762593 = r4762590 + r4762592;
        double r4762594 = r4762585 * r4762593;
        double r4762595 = r4762589 + r4762594;
        double r4762596 = r4762588 / r4762595;
        double r4762597 = r4762596 - r4762585;
        return r4762597;
}
↓
double f(double x) {
        double r4762598 = 2.30753;
        double r4762599 = x;
        double r4762600 = 0.27061;
        double r4762601 = r4762599 * r4762600;
        double r4762602 = r4762598 + r4762601;
        double r4762603 = 1.0;
        double r4762604 = 0.99229;
        double r4762605 = 0.04481;
        double r4762606 = r4762599 * r4762605;
        double r4762607 = r4762604 + r4762606;
        double r4762608 = r4762599 * r4762607;
        double r4762609 = r4762603 + r4762608;
        double r4762610 = r4762602 / r4762609;
        double r4762611 = r4762610 - r4762599;
        return r4762611;
}

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 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))