Average Error: 0.0 → 0.0
Time: 1.2s
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 r65217 = 2.30753;
        double r65218 = x;
        double r65219 = 0.27061;
        double r65220 = r65218 * r65219;
        double r65221 = r65217 + r65220;
        double r65222 = 1.0;
        double r65223 = 0.99229;
        double r65224 = 0.04481;
        double r65225 = r65218 * r65224;
        double r65226 = r65223 + r65225;
        double r65227 = r65218 * r65226;
        double r65228 = r65222 + r65227;
        double r65229 = r65221 / r65228;
        double r65230 = r65229 - r65218;
        return r65230;
}
↓
double f(double x) {
        double r65231 = 2.30753;
        double r65232 = x;
        double r65233 = 0.27061;
        double r65234 = r65232 * r65233;
        double r65235 = r65231 + r65234;
        double r65236 = 1.0;
        double r65237 = 0.99229;
        double r65238 = 0.04481;
        double r65239 = r65232 * r65238;
        double r65240 = r65237 + r65239;
        double r65241 = r65232 * r65240;
        double r65242 = r65236 + r65241;
        double r65243 = r65235 / r65242;
        double r65244 = r65243 - r65232;
        return r65244;
}

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 +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))