Average Error: 0.0 → 0.0
Time: 4.7s
Precision: 64
\[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
↓
\[\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
↓
\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x
double f(double x) {
        double r85470 = 2.30753;
        double r85471 = x;
        double r85472 = 0.27061;
        double r85473 = r85471 * r85472;
        double r85474 = r85470 + r85473;
        double r85475 = 1.0;
        double r85476 = 0.99229;
        double r85477 = 0.04481;
        double r85478 = r85471 * r85477;
        double r85479 = r85476 + r85478;
        double r85480 = r85471 * r85479;
        double r85481 = r85475 + r85480;
        double r85482 = r85474 / r85481;
        double r85483 = r85482 - r85471;
        return r85483;
}
↓
double f(double x) {
        double r85484 = 2.30753;
        double r85485 = x;
        double r85486 = 0.27061;
        double r85487 = r85485 * r85486;
        double r85488 = r85484 + r85487;
        double r85489 = 1.0;
        double r85490 = 1.0;
        double r85491 = 0.99229;
        double r85492 = 0.04481;
        double r85493 = r85485 * r85492;
        double r85494 = r85491 + r85493;
        double r85495 = r85485 * r85494;
        double r85496 = r85490 + r85495;
        double r85497 = r85489 / r85496;
        double r85498 = r85488 * r85497;
        double r85499 = r85498 - r85485;
        return r85499;
}

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

    \[\frac{2.30753 + x \cdot 0.27061000000000002}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]
  2. Using strategy rm

  3. Applied div-inv0.0

    \[\leadsto \color{blue}{\left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)}} - x\]

  4. Final simplification0.0

    \[\leadsto \left(2.30753 + x \cdot 0.27061000000000002\right) \cdot \frac{1}{1 + x \cdot \left(0.992290000000000005 + x \cdot 0.044810000000000003\right)} - x\]

Reproduce

herbie shell --seed 2020047 
(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))