Average Error: 0.0 → 0.0
Time: 9.2s
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 r57234 = 2.30753;
        double r57235 = x;
        double r57236 = 0.27061;
        double r57237 = r57235 * r57236;
        double r57238 = r57234 + r57237;
        double r57239 = 1.0;
        double r57240 = 0.99229;
        double r57241 = 0.04481;
        double r57242 = r57235 * r57241;
        double r57243 = r57240 + r57242;
        double r57244 = r57235 * r57243;
        double r57245 = r57239 + r57244;
        double r57246 = r57238 / r57245;
        double r57247 = r57246 - r57235;
        return r57247;
}
↓
double f(double x) {
        double r57248 = 2.30753;
        double r57249 = x;
        double r57250 = 0.27061;
        double r57251 = r57249 * r57250;
        double r57252 = r57248 + r57251;
        double r57253 = 1.0;
        double r57254 = 0.99229;
        double r57255 = 0.04481;
        double r57256 = r57249 * r57255;
        double r57257 = r57254 + r57256;
        double r57258 = r57249 * r57257;
        double r57259 = r57253 + r57258;
        double r57260 = r57252 / r57259;
        double r57261 = r57260 - r57249;
        return r57261;
}

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 2019294 
(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))