Average Error: 0.0 → 0.0
Time: 3.8s
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 r2621571 = 2.30753;
        double r2621572 = x;
        double r2621573 = 0.27061;
        double r2621574 = r2621572 * r2621573;
        double r2621575 = r2621571 + r2621574;
        double r2621576 = 1.0;
        double r2621577 = 0.99229;
        double r2621578 = 0.04481;
        double r2621579 = r2621572 * r2621578;
        double r2621580 = r2621577 + r2621579;
        double r2621581 = r2621572 * r2621580;
        double r2621582 = r2621576 + r2621581;
        double r2621583 = r2621575 / r2621582;
        double r2621584 = r2621583 - r2621572;
        return r2621584;
}
↓
double f(double x) {
        double r2621585 = 0.27061;
        double r2621586 = x;
        double r2621587 = r2621585 * r2621586;
        double r2621588 = 2.30753;
        double r2621589 = r2621587 + r2621588;
        double r2621590 = 0.04481;
        double r2621591 = r2621586 * r2621590;
        double r2621592 = 0.99229;
        double r2621593 = r2621591 + r2621592;
        double r2621594 = r2621586 * r2621593;
        double r2621595 = 1.0;
        double r2621596 = r2621594 + r2621595;
        double r2621597 = r2621589 / r2621596;
        double r2621598 = r2621597 - r2621586;
        return r2621598;
}

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 2019171 
(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))