Average Error: 0.0 → 0.0
Time: 1.1s
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 r44112 = 2.30753;
        double r44113 = x;
        double r44114 = 0.27061;
        double r44115 = r44113 * r44114;
        double r44116 = r44112 + r44115;
        double r44117 = 1.0;
        double r44118 = 0.99229;
        double r44119 = 0.04481;
        double r44120 = r44113 * r44119;
        double r44121 = r44118 + r44120;
        double r44122 = r44113 * r44121;
        double r44123 = r44117 + r44122;
        double r44124 = r44116 / r44123;
        double r44125 = r44124 - r44113;
        return r44125;
}
↓
double f(double x) {
        double r44126 = 2.30753;
        double r44127 = x;
        double r44128 = 0.27061;
        double r44129 = r44127 * r44128;
        double r44130 = r44126 + r44129;
        double r44131 = 1.0;
        double r44132 = 0.99229;
        double r44133 = 0.04481;
        double r44134 = r44127 * r44133;
        double r44135 = r44132 + r44134;
        double r44136 = r44127 * r44135;
        double r44137 = r44131 + r44136;
        double r44138 = r44130 / r44137;
        double r44139 = r44138 - r44127;
        return r44139;
}

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 2019353 
(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))