Average Error: 0.0 → 0.0
Time: 1.0s
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 r50443 = 2.30753;
        double r50444 = x;
        double r50445 = 0.27061;
        double r50446 = r50444 * r50445;
        double r50447 = r50443 + r50446;
        double r50448 = 1.0;
        double r50449 = 0.99229;
        double r50450 = 0.04481;
        double r50451 = r50444 * r50450;
        double r50452 = r50449 + r50451;
        double r50453 = r50444 * r50452;
        double r50454 = r50448 + r50453;
        double r50455 = r50447 / r50454;
        double r50456 = r50455 - r50444;
        return r50456;
}
↓
double f(double x) {
        double r50457 = 2.30753;
        double r50458 = x;
        double r50459 = 0.27061;
        double r50460 = r50458 * r50459;
        double r50461 = r50457 + r50460;
        double r50462 = 1.0;
        double r50463 = 0.99229;
        double r50464 = 0.04481;
        double r50465 = r50458 * r50464;
        double r50466 = r50463 + r50465;
        double r50467 = r50458 * r50466;
        double r50468 = r50462 + r50467;
        double r50469 = r50461 / r50468;
        double r50470 = r50469 - r50458;
        return r50470;
}

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 2020001 +o rules:numerics
(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))