Average Error: 0.0 → 0.0
Time: 2.1s
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 r64433 = 2.30753;
        double r64434 = x;
        double r64435 = 0.27061;
        double r64436 = r64434 * r64435;
        double r64437 = r64433 + r64436;
        double r64438 = 1.0;
        double r64439 = 0.99229;
        double r64440 = 0.04481;
        double r64441 = r64434 * r64440;
        double r64442 = r64439 + r64441;
        double r64443 = r64434 * r64442;
        double r64444 = r64438 + r64443;
        double r64445 = r64437 / r64444;
        double r64446 = r64445 - r64434;
        return r64446;
}
↓
double f(double x) {
        double r64447 = 2.30753;
        double r64448 = x;
        double r64449 = 0.27061;
        double r64450 = r64448 * r64449;
        double r64451 = r64447 + r64450;
        double r64452 = 1.0;
        double r64453 = 0.99229;
        double r64454 = 0.04481;
        double r64455 = r64448 * r64454;
        double r64456 = r64453 + r64455;
        double r64457 = r64448 * r64456;
        double r64458 = r64452 + r64457;
        double r64459 = r64451 / r64458;
        double r64460 = r64459 - r64448;
        return r64460;
}

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 2019354 +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))