Average Error: 0.0 → 0.0
Time: 13.8s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x
↓
\frac{0.2706100000000000171951342053944244980812 \cdot x + 2.307529999999999859028321225196123123169}{x \cdot \left(x \cdot 0.04481000000000000260680366181986755691469 + 0.992290000000000005364597654988756403327\right) + 1} - x
double f(double x) {
        double r4401473 = 2.30753;
        double r4401474 = x;
        double r4401475 = 0.27061;
        double r4401476 = r4401474 * r4401475;
        double r4401477 = r4401473 + r4401476;
        double r4401478 = 1.0;
        double r4401479 = 0.99229;
        double r4401480 = 0.04481;
        double r4401481 = r4401474 * r4401480;
        double r4401482 = r4401479 + r4401481;
        double r4401483 = r4401474 * r4401482;
        double r4401484 = r4401478 + r4401483;
        double r4401485 = r4401477 / r4401484;
        double r4401486 = r4401485 - r4401474;
        return r4401486;
}
↓
double f(double x) {
        double r4401487 = 0.27061;
        double r4401488 = x;
        double r4401489 = r4401487 * r4401488;
        double r4401490 = 2.30753;
        double r4401491 = r4401489 + r4401490;
        double r4401492 = 0.04481;
        double r4401493 = r4401488 * r4401492;
        double r4401494 = 0.99229;
        double r4401495 = r4401493 + r4401494;
        double r4401496 = r4401488 * r4401495;
        double r4401497 = 1.0;
        double r4401498 = r4401496 + r4401497;
        double r4401499 = r4401491 / r4401498;
        double r4401500 = r4401499 - r4401488;
        return r4401500;
}

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

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

Reproduce

herbie shell --seed 2019192 
(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))