Average Error: 0.1 → 0.1
Time: 23.5s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
double f(double x) {
        double r79448 = 1.0;
        double r79449 = x;
        double r79450 = 0.253;
        double r79451 = 0.12;
        double r79452 = r79449 * r79451;
        double r79453 = r79450 + r79452;
        double r79454 = r79449 * r79453;
        double r79455 = r79448 - r79454;
        return r79455;
}
↓
double f(double x) {
        double r79456 = 1.0;
        double r79457 = x;
        double r79458 = 0.253;
        double r79459 = 0.12;
        double r79460 = r79457 * r79459;
        double r79461 = r79458 + r79460;
        double r79462 = r79457 * r79461;
        double r79463 = r79456 - r79462;
        return r79463;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]

  2. Final simplification0.1

    \[\leadsto 1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]

Reproduce

herbie shell --seed 2019235 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))