Average Error: 0.0 → 0.0
Time: 1.1s
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 r60543 = 2.30753;
        double r60544 = x;
        double r60545 = 0.27061;
        double r60546 = r60544 * r60545;
        double r60547 = r60543 + r60546;
        double r60548 = 1.0;
        double r60549 = 0.99229;
        double r60550 = 0.04481;
        double r60551 = r60544 * r60550;
        double r60552 = r60549 + r60551;
        double r60553 = r60544 * r60552;
        double r60554 = r60548 + r60553;
        double r60555 = r60547 / r60554;
        double r60556 = r60555 - r60544;
        return r60556;
}
↓
double f(double x) {
        double r60557 = 2.30753;
        double r60558 = x;
        double r60559 = 0.27061;
        double r60560 = r60558 * r60559;
        double r60561 = r60557 + r60560;
        double r60562 = 1.0;
        double r60563 = 0.99229;
        double r60564 = 0.04481;
        double r60565 = r60558 * r60564;
        double r60566 = r60563 + r60565;
        double r60567 = r60558 * r60566;
        double r60568 = r60562 + r60567;
        double r60569 = r60561 / r60568;
        double r60570 = r60569 - r60558;
        return r60570;
}

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 2019353 
(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))