Average Error: 0.0 → 0.0
Time: 12.4s
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 r78636 = 2.30753;
        double r78637 = x;
        double r78638 = 0.27061;
        double r78639 = r78637 * r78638;
        double r78640 = r78636 + r78639;
        double r78641 = 1.0;
        double r78642 = 0.99229;
        double r78643 = 0.04481;
        double r78644 = r78637 * r78643;
        double r78645 = r78642 + r78644;
        double r78646 = r78637 * r78645;
        double r78647 = r78641 + r78646;
        double r78648 = r78640 / r78647;
        double r78649 = r78648 - r78637;
        return r78649;
}
↓
double f(double x) {
        double r78650 = 2.30753;
        double r78651 = x;
        double r78652 = 0.27061;
        double r78653 = r78651 * r78652;
        double r78654 = r78650 + r78653;
        double r78655 = 1.0;
        double r78656 = 0.99229;
        double r78657 = 0.04481;
        double r78658 = r78651 * r78657;
        double r78659 = r78656 + r78658;
        double r78660 = r78651 * r78659;
        double r78661 = r78655 + r78660;
        double r78662 = r78654 / r78661;
        double r78663 = r78662 - r78651;
        return r78663;
}

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 2019303 
(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))