Average Error: 0.0 → 0.0
Time: 13.7s
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 r83671 = 2.30753;
        double r83672 = x;
        double r83673 = 0.27061;
        double r83674 = r83672 * r83673;
        double r83675 = r83671 + r83674;
        double r83676 = 1.0;
        double r83677 = 0.99229;
        double r83678 = 0.04481;
        double r83679 = r83672 * r83678;
        double r83680 = r83677 + r83679;
        double r83681 = r83672 * r83680;
        double r83682 = r83676 + r83681;
        double r83683 = r83675 / r83682;
        double r83684 = r83683 - r83672;
        return r83684;
}
↓
double f(double x) {
        double r83685 = 2.30753;
        double r83686 = x;
        double r83687 = 0.27061;
        double r83688 = r83686 * r83687;
        double r83689 = r83685 + r83688;
        double r83690 = 1.0;
        double r83691 = 0.99229;
        double r83692 = 0.04481;
        double r83693 = r83686 * r83692;
        double r83694 = r83691 + r83693;
        double r83695 = r83686 * r83694;
        double r83696 = r83690 + r83695;
        double r83697 = r83689 / r83696;
        double r83698 = r83697 - r83686;
        return r83698;
}

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 2019306 
(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))