Average Error: 0.0 → 0.0
Time: 11.9s
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 r33663 = 2.30753;
        double r33664 = x;
        double r33665 = 0.27061;
        double r33666 = r33664 * r33665;
        double r33667 = r33663 + r33666;
        double r33668 = 1.0;
        double r33669 = 0.99229;
        double r33670 = 0.04481;
        double r33671 = r33664 * r33670;
        double r33672 = r33669 + r33671;
        double r33673 = r33664 * r33672;
        double r33674 = r33668 + r33673;
        double r33675 = r33667 / r33674;
        double r33676 = r33675 - r33664;
        return r33676;
}
↓
double f(double x) {
        double r33677 = 2.30753;
        double r33678 = x;
        double r33679 = 0.27061;
        double r33680 = r33678 * r33679;
        double r33681 = r33677 + r33680;
        double r33682 = 1.0;
        double r33683 = 0.99229;
        double r33684 = 0.04481;
        double r33685 = r33678 * r33684;
        double r33686 = r33683 + r33685;
        double r33687 = r33678 * r33686;
        double r33688 = r33682 + r33687;
        double r33689 = r33681 / r33688;
        double r33690 = r33689 - r33678;
        return r33690;
}

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 +o rules:numerics
(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))