Average Error: 0.0 → 0.0
Time: 1.2s
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 r71945 = 2.30753;
        double r71946 = x;
        double r71947 = 0.27061;
        double r71948 = r71946 * r71947;
        double r71949 = r71945 + r71948;
        double r71950 = 1.0;
        double r71951 = 0.99229;
        double r71952 = 0.04481;
        double r71953 = r71946 * r71952;
        double r71954 = r71951 + r71953;
        double r71955 = r71946 * r71954;
        double r71956 = r71950 + r71955;
        double r71957 = r71949 / r71956;
        double r71958 = r71957 - r71946;
        return r71958;
}
↓
double f(double x) {
        double r71959 = 2.30753;
        double r71960 = x;
        double r71961 = 0.27061;
        double r71962 = r71960 * r71961;
        double r71963 = r71959 + r71962;
        double r71964 = 1.0;
        double r71965 = 0.99229;
        double r71966 = 0.04481;
        double r71967 = r71960 * r71966;
        double r71968 = r71965 + r71967;
        double r71969 = r71960 * r71968;
        double r71970 = r71964 + r71969;
        double r71971 = r71963 / r71970;
        double r71972 = r71971 - r71960;
        return r71972;
}

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 2019322 
(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))