Average Error: 0.1 → 0.1
Time: 4.2s
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 r108042 = 1.0;
        double r108043 = x;
        double r108044 = 0.253;
        double r108045 = 0.12;
        double r108046 = r108043 * r108045;
        double r108047 = r108044 + r108046;
        double r108048 = r108043 * r108047;
        double r108049 = r108042 - r108048;
        return r108049;
}
↓
double f(double x) {
        double r108050 = 1.0;
        double r108051 = x;
        double r108052 = 0.253;
        double r108053 = 0.12;
        double r108054 = r108051 * r108053;
        double r108055 = r108052 + r108054;
        double r108056 = r108051 * r108055;
        double r108057 = r108050 - r108056;
        return r108057;
}

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 2019356 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))