Average Error: 0.0 → 0.0
Time: 3.5s
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 r78933 = 2.30753;
        double r78934 = x;
        double r78935 = 0.27061;
        double r78936 = r78934 * r78935;
        double r78937 = r78933 + r78936;
        double r78938 = 1.0;
        double r78939 = 0.99229;
        double r78940 = 0.04481;
        double r78941 = r78934 * r78940;
        double r78942 = r78939 + r78941;
        double r78943 = r78934 * r78942;
        double r78944 = r78938 + r78943;
        double r78945 = r78937 / r78944;
        double r78946 = r78945 - r78934;
        return r78946;
}
↓
double f(double x) {
        double r78947 = 2.30753;
        double r78948 = x;
        double r78949 = 0.27061;
        double r78950 = r78948 * r78949;
        double r78951 = r78947 + r78950;
        double r78952 = 1.0;
        double r78953 = 0.99229;
        double r78954 = 0.04481;
        double r78955 = r78948 * r78954;
        double r78956 = r78953 + r78955;
        double r78957 = r78948 * r78956;
        double r78958 = r78952 + r78957;
        double r78959 = r78951 / r78958;
        double r78960 = r78959 - r78948;
        return r78960;
}

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 2019308 
(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))