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 r68273 = 2.30753;
        double r68274 = x;
        double r68275 = 0.27061;
        double r68276 = r68274 * r68275;
        double r68277 = r68273 + r68276;
        double r68278 = 1.0;
        double r68279 = 0.99229;
        double r68280 = 0.04481;
        double r68281 = r68274 * r68280;
        double r68282 = r68279 + r68281;
        double r68283 = r68274 * r68282;
        double r68284 = r68278 + r68283;
        double r68285 = r68277 / r68284;
        double r68286 = r68285 - r68274;
        return r68286;
}
↓
double f(double x) {
        double r68287 = 2.30753;
        double r68288 = x;
        double r68289 = 0.27061;
        double r68290 = r68288 * r68289;
        double r68291 = r68287 + r68290;
        double r68292 = 1.0;
        double r68293 = 0.99229;
        double r68294 = 0.04481;
        double r68295 = r68288 * r68294;
        double r68296 = r68293 + r68295;
        double r68297 = r68288 * r68296;
        double r68298 = r68292 + r68297;
        double r68299 = r68291 / r68298;
        double r68300 = r68299 - r68288;
        return r68300;
}

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 2020001 +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))