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 r51952 = 2.30753;
        double r51953 = x;
        double r51954 = 0.27061;
        double r51955 = r51953 * r51954;
        double r51956 = r51952 + r51955;
        double r51957 = 1.0;
        double r51958 = 0.99229;
        double r51959 = 0.04481;
        double r51960 = r51953 * r51959;
        double r51961 = r51958 + r51960;
        double r51962 = r51953 * r51961;
        double r51963 = r51957 + r51962;
        double r51964 = r51956 / r51963;
        double r51965 = r51964 - r51953;
        return r51965;
}
↓
double f(double x) {
        double r51966 = 2.30753;
        double r51967 = x;
        double r51968 = 0.27061;
        double r51969 = r51967 * r51968;
        double r51970 = r51966 + r51969;
        double r51971 = 1.0;
        double r51972 = 0.99229;
        double r51973 = 0.04481;
        double r51974 = r51967 * r51973;
        double r51975 = r51972 + r51974;
        double r51976 = r51967 * r51975;
        double r51977 = r51971 + r51976;
        double r51978 = r51970 / r51977;
        double r51979 = r51978 - r51967;
        return r51979;
}

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 2019291 
(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))