Average Error: 0.0 → 0.0
Time: 1.5s
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 r70067 = 2.30753;
        double r70068 = x;
        double r70069 = 0.27061;
        double r70070 = r70068 * r70069;
        double r70071 = r70067 + r70070;
        double r70072 = 1.0;
        double r70073 = 0.99229;
        double r70074 = 0.04481;
        double r70075 = r70068 * r70074;
        double r70076 = r70073 + r70075;
        double r70077 = r70068 * r70076;
        double r70078 = r70072 + r70077;
        double r70079 = r70071 / r70078;
        double r70080 = r70079 - r70068;
        return r70080;
}
↓
double f(double x) {
        double r70081 = 2.30753;
        double r70082 = x;
        double r70083 = 0.27061;
        double r70084 = r70082 * r70083;
        double r70085 = r70081 + r70084;
        double r70086 = 1.0;
        double r70087 = 0.99229;
        double r70088 = 0.04481;
        double r70089 = r70082 * r70088;
        double r70090 = r70087 + r70089;
        double r70091 = r70082 * r70090;
        double r70092 = r70086 + r70091;
        double r70093 = r70085 / r70092;
        double r70094 = r70093 - r70082;
        return r70094;
}

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 2019354 
(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))