Average Error: 0.0 → 0.0
Time: 14.2s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\left(2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\left(2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
double f(double x) {
        double r77346 = 2.30753;
        double r77347 = x;
        double r77348 = 0.27061;
        double r77349 = r77347 * r77348;
        double r77350 = r77346 + r77349;
        double r77351 = 1.0;
        double r77352 = 0.99229;
        double r77353 = 0.04481;
        double r77354 = r77347 * r77353;
        double r77355 = r77352 + r77354;
        double r77356 = r77347 * r77355;
        double r77357 = r77351 + r77356;
        double r77358 = r77350 / r77357;
        double r77359 = r77358 - r77347;
        return r77359;
}
↓
double f(double x) {
        double r77360 = 2.30753;
        double r77361 = x;
        double r77362 = 0.27061;
        double r77363 = r77361 * r77362;
        double r77364 = r77360 + r77363;
        double r77365 = 1.0;
        double r77366 = 1.0;
        double r77367 = 0.99229;
        double r77368 = 0.04481;
        double r77369 = r77361 * r77368;
        double r77370 = r77367 + r77369;
        double r77371 = r77361 * r77370;
        double r77372 = r77366 + r77371;
        double r77373 = r77365 / r77372;
        double r77374 = r77364 * r77373;
        double r77375 = r77374 - r77361;
        return r77375;
}

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. Using strategy rm

  3. Applied div-inv0.0

    \[\leadsto \color{blue}{\left(2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)}} - x\]

  4. Final simplification0.0

    \[\leadsto \left(2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]

Reproduce

herbie shell --seed 2019323 
(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))