Average Error: 0.0 → 0.0
Time: 5.7s
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 r84156 = 2.30753;
        double r84157 = x;
        double r84158 = 0.27061;
        double r84159 = r84157 * r84158;
        double r84160 = r84156 + r84159;
        double r84161 = 1.0;
        double r84162 = 0.99229;
        double r84163 = 0.04481;
        double r84164 = r84157 * r84163;
        double r84165 = r84162 + r84164;
        double r84166 = r84157 * r84165;
        double r84167 = r84161 + r84166;
        double r84168 = r84160 / r84167;
        double r84169 = r84168 - r84157;
        return r84169;
}
↓
double f(double x) {
        double r84170 = 2.30753;
        double r84171 = x;
        double r84172 = 0.27061;
        double r84173 = r84171 * r84172;
        double r84174 = r84170 + r84173;
        double r84175 = 1.0;
        double r84176 = 0.99229;
        double r84177 = 0.04481;
        double r84178 = r84171 * r84177;
        double r84179 = r84176 + r84178;
        double r84180 = r84171 * r84179;
        double r84181 = r84175 + r84180;
        double r84182 = r84174 / r84181;
        double r84183 = r84182 - r84171;
        return r84183;
}

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 2019212 
(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))