Average Error: 0.0 → 0.0
Time: 8.8s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]
↓
\[\frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x\]
\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x
↓
\frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x
double f(double x) {
        double r4363353 = 2.30753;
        double r4363354 = x;
        double r4363355 = 0.27061;
        double r4363356 = r4363354 * r4363355;
        double r4363357 = r4363353 + r4363356;
        double r4363358 = 1.0;
        double r4363359 = 0.99229;
        double r4363360 = 0.04481;
        double r4363361 = r4363354 * r4363360;
        double r4363362 = r4363359 + r4363361;
        double r4363363 = r4363354 * r4363362;
        double r4363364 = r4363358 + r4363363;
        double r4363365 = r4363357 / r4363364;
        double r4363366 = r4363365 - r4363354;
        return r4363366;
}
↓
double f(double x) {
        double r4363367 = 0.27061;
        double r4363368 = x;
        double r4363369 = r4363367 * r4363368;
        double r4363370 = 2.30753;
        double r4363371 = r4363369 + r4363370;
        double r4363372 = 0.04481;
        double r4363373 = r4363368 * r4363372;
        double r4363374 = 0.99229;
        double r4363375 = r4363373 + r4363374;
        double r4363376 = r4363368 * r4363375;
        double r4363377 = 1.0;
        double r4363378 = r4363376 + r4363377;
        double r4363379 = r4363371 / r4363378;
        double r4363380 = r4363379 - r4363368;
        return r4363380;
}

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

    \[\frac{2.30753 + x \cdot 0.27061}{1.0 + x \cdot \left(0.99229 + x \cdot 0.04481\right)} - x\]

  2. Final simplification0.0

    \[\leadsto \frac{0.27061 \cdot x + 2.30753}{x \cdot \left(x \cdot 0.04481 + 0.99229\right) + 1.0} - x\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))