Average Error: 0.0 → 0.0
Time: 8.2s
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 r3226474 = 2.30753;
        double r3226475 = x;
        double r3226476 = 0.27061;
        double r3226477 = r3226475 * r3226476;
        double r3226478 = r3226474 + r3226477;
        double r3226479 = 1.0;
        double r3226480 = 0.99229;
        double r3226481 = 0.04481;
        double r3226482 = r3226475 * r3226481;
        double r3226483 = r3226480 + r3226482;
        double r3226484 = r3226475 * r3226483;
        double r3226485 = r3226479 + r3226484;
        double r3226486 = r3226478 / r3226485;
        double r3226487 = r3226486 - r3226475;
        return r3226487;
}
↓
double f(double x) {
        double r3226488 = 0.27061;
        double r3226489 = x;
        double r3226490 = r3226488 * r3226489;
        double r3226491 = 2.30753;
        double r3226492 = r3226490 + r3226491;
        double r3226493 = 0.04481;
        double r3226494 = r3226489 * r3226493;
        double r3226495 = 0.99229;
        double r3226496 = r3226494 + r3226495;
        double r3226497 = r3226489 * r3226496;
        double r3226498 = 1.0;
        double r3226499 = r3226497 + r3226498;
        double r3226500 = r3226492 / r3226499;
        double r3226501 = r3226500 - r3226489;
        return r3226501;
}

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 2019168 
(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))