Average Error: 0.0 → 0.0
Time: 5.8s
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 r56047 = 2.30753;
        double r56048 = x;
        double r56049 = 0.27061;
        double r56050 = r56048 * r56049;
        double r56051 = r56047 + r56050;
        double r56052 = 1.0;
        double r56053 = 0.99229;
        double r56054 = 0.04481;
        double r56055 = r56048 * r56054;
        double r56056 = r56053 + r56055;
        double r56057 = r56048 * r56056;
        double r56058 = r56052 + r56057;
        double r56059 = r56051 / r56058;
        double r56060 = r56059 - r56048;
        return r56060;
}
↓
double f(double x) {
        double r56061 = 2.30753;
        double r56062 = x;
        double r56063 = 0.27061;
        double r56064 = r56062 * r56063;
        double r56065 = r56061 + r56064;
        double r56066 = 1.0;
        double r56067 = 0.99229;
        double r56068 = 0.04481;
        double r56069 = r56062 * r56068;
        double r56070 = r56067 + r56069;
        double r56071 = r56062 * r56070;
        double r56072 = r56066 + r56071;
        double r56073 = r56065 / r56072;
        double r56074 = r56073 - r56062;
        return r56074;
}

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 2019325 
(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))