Average Error: 0.0 → 0.0
Time: 9.1s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\left(2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\left(2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
double f(double x) {
        double r54634 = 2.30753;
        double r54635 = x;
        double r54636 = 0.27061;
        double r54637 = r54635 * r54636;
        double r54638 = r54634 + r54637;
        double r54639 = 1.0;
        double r54640 = 0.99229;
        double r54641 = 0.04481;
        double r54642 = r54635 * r54641;
        double r54643 = r54640 + r54642;
        double r54644 = r54635 * r54643;
        double r54645 = r54639 + r54644;
        double r54646 = r54638 / r54645;
        double r54647 = r54646 - r54635;
        return r54647;
}
↓
double f(double x) {
        double r54648 = 2.30753;
        double r54649 = x;
        double r54650 = 0.27061;
        double r54651 = r54649 * r54650;
        double r54652 = r54648 + r54651;
        double r54653 = 1.0;
        double r54654 = 1.0;
        double r54655 = 0.99229;
        double r54656 = 0.04481;
        double r54657 = r54649 * r54656;
        double r54658 = r54655 + r54657;
        double r54659 = r54649 * r54658;
        double r54660 = r54654 + r54659;
        double r54661 = r54653 / r54660;
        double r54662 = r54652 * r54661;
        double r54663 = r54662 - r54649;
        return r54663;
}

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. Using strategy rm

  3. Applied div-inv0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019208 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* x (+ 0.992290000000000005 (* x 0.044810000000000003))))) x))