Average Error: 0.0 → 0.0
Time: 933.0ms
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 r102486 = 2.30753;
        double r102487 = x;
        double r102488 = 0.27061;
        double r102489 = r102487 * r102488;
        double r102490 = r102486 + r102489;
        double r102491 = 1.0;
        double r102492 = 0.99229;
        double r102493 = 0.04481;
        double r102494 = r102487 * r102493;
        double r102495 = r102492 + r102494;
        double r102496 = r102487 * r102495;
        double r102497 = r102491 + r102496;
        double r102498 = r102490 / r102497;
        double r102499 = r102498 - r102487;
        return r102499;
}
↓
double f(double x) {
        double r102500 = 2.30753;
        double r102501 = x;
        double r102502 = 0.27061;
        double r102503 = r102501 * r102502;
        double r102504 = r102500 + r102503;
        double r102505 = 1.0;
        double r102506 = 0.99229;
        double r102507 = 0.04481;
        double r102508 = r102501 * r102507;
        double r102509 = r102506 + r102508;
        double r102510 = r102501 * r102509;
        double r102511 = r102505 + r102510;
        double r102512 = r102504 / r102511;
        double r102513 = r102512 - r102501;
        return r102513;
}

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 
(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))