Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
↓
\[\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + x \cdot \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right)} - x\]
\frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{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
double f(double x) {
        double r55593 = 2.30753;
        double r55594 = x;
        double r55595 = 0.27061;
        double r55596 = r55594 * r55595;
        double r55597 = r55593 + r55596;
        double r55598 = 1.0;
        double r55599 = 0.99229;
        double r55600 = 0.04481;
        double r55601 = r55594 * r55600;
        double r55602 = r55599 + r55601;
        double r55603 = r55594 * r55602;
        double r55604 = r55598 + r55603;
        double r55605 = r55597 / r55604;
        double r55606 = r55605 - r55594;
        return r55606;
}
↓
double f(double x) {
        double r55607 = 2.30753;
        double r55608 = x;
        double r55609 = 0.27061;
        double r55610 = r55608 * r55609;
        double r55611 = r55607 + r55610;
        double r55612 = 1.0;
        double r55613 = 0.99229;
        double r55614 = 0.04481;
        double r55615 = r55608 * r55614;
        double r55616 = r55613 + r55615;
        double r55617 = r55608 * r55616;
        double r55618 = r55612 + r55617;
        double r55619 = r55611 / r55618;
        double r55620 = r55619 - r55608;
        return r55620;
}

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

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

Reproduce

herbie shell --seed 2019325 
(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))