Average Error: 0.0 → 0.0
Time: 9.2s
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 r94326 = 2.30753;
        double r94327 = x;
        double r94328 = 0.27061;
        double r94329 = r94327 * r94328;
        double r94330 = r94326 + r94329;
        double r94331 = 1.0;
        double r94332 = 0.99229;
        double r94333 = 0.04481;
        double r94334 = r94327 * r94333;
        double r94335 = r94332 + r94334;
        double r94336 = r94327 * r94335;
        double r94337 = r94331 + r94336;
        double r94338 = r94330 / r94337;
        double r94339 = r94338 - r94327;
        return r94339;
}
↓
double f(double x) {
        double r94340 = 2.30753;
        double r94341 = x;
        double r94342 = 0.27061;
        double r94343 = r94341 * r94342;
        double r94344 = r94340 + r94343;
        double r94345 = 1.0;
        double r94346 = 0.99229;
        double r94347 = 0.04481;
        double r94348 = r94341 * r94347;
        double r94349 = r94346 + r94348;
        double r94350 = r94341 * r94349;
        double r94351 = r94345 + r94350;
        double r94352 = r94344 / r94351;
        double r94353 = r94352 - r94341;
        return r94353;
}

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 2019212 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, C"
  :precision binary64
  (- (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* x (+ 0.992290000000000005 (* x 0.044810000000000003))))) x))