Average Error: 0.0 → 0.0
Time: 4.0s
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 r48252 = 2.30753;
        double r48253 = x;
        double r48254 = 0.27061;
        double r48255 = r48253 * r48254;
        double r48256 = r48252 + r48255;
        double r48257 = 1.0;
        double r48258 = 0.99229;
        double r48259 = 0.04481;
        double r48260 = r48253 * r48259;
        double r48261 = r48258 + r48260;
        double r48262 = r48253 * r48261;
        double r48263 = r48257 + r48262;
        double r48264 = r48256 / r48263;
        double r48265 = r48264 - r48253;
        return r48265;
}
↓
double f(double x) {
        double r48266 = 2.30753;
        double r48267 = x;
        double r48268 = 0.27061;
        double r48269 = r48267 * r48268;
        double r48270 = r48266 + r48269;
        double r48271 = 1.0;
        double r48272 = 0.99229;
        double r48273 = 0.04481;
        double r48274 = r48267 * r48273;
        double r48275 = r48272 + r48274;
        double r48276 = r48267 * r48275;
        double r48277 = r48271 + r48276;
        double r48278 = r48270 / r48277;
        double r48279 = r48278 - r48267;
        return r48279;
}

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 2019351 +o rules:numerics
(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))