Average Error: 0.0 → 0.0
Time: 11.8s
Precision: 64
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
↓
\[x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}\]
x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}
↓
x - \frac{2.307529999999999859028321225196123123169 + x \cdot 0.2706100000000000171951342053944244980812}{1 + \left(0.992290000000000005364597654988756403327 + x \cdot 0.04481000000000000260680366181986755691469\right) \cdot x}
double f(double x) {
        double r70960 = x;
        double r70961 = 2.30753;
        double r70962 = 0.27061;
        double r70963 = r70960 * r70962;
        double r70964 = r70961 + r70963;
        double r70965 = 1.0;
        double r70966 = 0.99229;
        double r70967 = 0.04481;
        double r70968 = r70960 * r70967;
        double r70969 = r70966 + r70968;
        double r70970 = r70969 * r70960;
        double r70971 = r70965 + r70970;
        double r70972 = r70964 / r70971;
        double r70973 = r70960 - r70972;
        return r70973;
}
↓
double f(double x) {
        double r70974 = x;
        double r70975 = 2.30753;
        double r70976 = 0.27061;
        double r70977 = r70974 * r70976;
        double r70978 = r70975 + r70977;
        double r70979 = 1.0;
        double r70980 = 0.99229;
        double r70981 = 0.04481;
        double r70982 = r70974 * r70981;
        double r70983 = r70980 + r70982;
        double r70984 = r70983 * r70974;
        double r70985 = r70979 + r70984;
        double r70986 = r70978 / r70985;
        double r70987 = r70974 - r70986;
        return r70987;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019209 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, D"
  :precision binary64
  (- x (/ (+ 2.30753 (* x 0.27061000000000002)) (+ 1 (* (+ 0.992290000000000005 (* x 0.044810000000000003)) x)))))