Average Error: 0.0 → 0.0
Time: 2.2s
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 r55663 = 2.30753;
        double r55664 = x;
        double r55665 = 0.27061;
        double r55666 = r55664 * r55665;
        double r55667 = r55663 + r55666;
        double r55668 = 1.0;
        double r55669 = 0.99229;
        double r55670 = 0.04481;
        double r55671 = r55664 * r55670;
        double r55672 = r55669 + r55671;
        double r55673 = r55664 * r55672;
        double r55674 = r55668 + r55673;
        double r55675 = r55667 / r55674;
        double r55676 = r55675 - r55664;
        return r55676;
}
↓
double f(double x) {
        double r55677 = 2.30753;
        double r55678 = x;
        double r55679 = 0.27061;
        double r55680 = r55678 * r55679;
        double r55681 = r55677 + r55680;
        double r55682 = 1.0;
        double r55683 = 0.99229;
        double r55684 = 0.04481;
        double r55685 = r55678 * r55684;
        double r55686 = r55683 + r55685;
        double r55687 = r55678 * r55686;
        double r55688 = r55682 + r55687;
        double r55689 = r55681 / r55688;
        double r55690 = r55689 - r55678;
        return r55690;
}

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 2019362 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1 (* x (+ 0.99229 (* x 0.04481))))) x))