Average Error: 0.0 → 0.0
Time: 3.6s
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 r53954 = 2.30753;
        double r53955 = x;
        double r53956 = 0.27061;
        double r53957 = r53955 * r53956;
        double r53958 = r53954 + r53957;
        double r53959 = 1.0;
        double r53960 = 0.99229;
        double r53961 = 0.04481;
        double r53962 = r53955 * r53961;
        double r53963 = r53960 + r53962;
        double r53964 = r53955 * r53963;
        double r53965 = r53959 + r53964;
        double r53966 = r53958 / r53965;
        double r53967 = r53966 - r53955;
        return r53967;
}
↓
double f(double x) {
        double r53968 = 2.30753;
        double r53969 = x;
        double r53970 = 0.27061;
        double r53971 = r53969 * r53970;
        double r53972 = r53968 + r53971;
        double r53973 = 1.0;
        double r53974 = 0.99229;
        double r53975 = 0.04481;
        double r53976 = r53969 * r53975;
        double r53977 = r53974 + r53976;
        double r53978 = r53969 * r53977;
        double r53979 = r53973 + r53978;
        double r53980 = r53972 / r53979;
        double r53981 = r53980 - r53969;
        return r53981;
}

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 1978988140 
(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))