Average Error: 0.0 → 0.0
Time: 5.6s
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 r66130 = 2.30753;
        double r66131 = x;
        double r66132 = 0.27061;
        double r66133 = r66131 * r66132;
        double r66134 = r66130 + r66133;
        double r66135 = 1.0;
        double r66136 = 0.99229;
        double r66137 = 0.04481;
        double r66138 = r66131 * r66137;
        double r66139 = r66136 + r66138;
        double r66140 = r66131 * r66139;
        double r66141 = r66135 + r66140;
        double r66142 = r66134 / r66141;
        double r66143 = r66142 - r66131;
        return r66143;
}
↓
double f(double x) {
        double r66144 = 2.30753;
        double r66145 = x;
        double r66146 = 0.27061;
        double r66147 = r66145 * r66146;
        double r66148 = r66144 + r66147;
        double r66149 = 1.0;
        double r66150 = 0.99229;
        double r66151 = 0.04481;
        double r66152 = r66145 * r66151;
        double r66153 = r66150 + r66152;
        double r66154 = r66145 * r66153;
        double r66155 = r66149 + r66154;
        double r66156 = r66148 / r66155;
        double r66157 = r66156 - r66145;
        return r66157;
}

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 2019297 
(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))