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 r73095 = 2.30753;
        double r73096 = x;
        double r73097 = 0.27061;
        double r73098 = r73096 * r73097;
        double r73099 = r73095 + r73098;
        double r73100 = 1.0;
        double r73101 = 0.99229;
        double r73102 = 0.04481;
        double r73103 = r73096 * r73102;
        double r73104 = r73101 + r73103;
        double r73105 = r73096 * r73104;
        double r73106 = r73100 + r73105;
        double r73107 = r73099 / r73106;
        double r73108 = r73107 - r73096;
        return r73108;
}
↓
double f(double x) {
        double r73109 = 2.30753;
        double r73110 = x;
        double r73111 = 0.27061;
        double r73112 = r73110 * r73111;
        double r73113 = r73109 + r73112;
        double r73114 = 1.0;
        double r73115 = 0.99229;
        double r73116 = 0.04481;
        double r73117 = r73110 * r73116;
        double r73118 = r73115 + r73117;
        double r73119 = r73110 * r73118;
        double r73120 = r73114 + r73119;
        double r73121 = r73113 / r73120;
        double r73122 = r73121 - r73110;
        return r73122;
}

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 2020002 
(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))