Average Error: 0.1 → 0.1
Time: 19.5s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - \left(0.2530000000000000026645352591003756970167 + 0.1199999999999999955591079014993738383055 \cdot x\right) \cdot x
double f(double x) {
        double r2609660 = 1.0;
        double r2609661 = x;
        double r2609662 = 0.253;
        double r2609663 = 0.12;
        double r2609664 = r2609661 * r2609663;
        double r2609665 = r2609662 + r2609664;
        double r2609666 = r2609661 * r2609665;
        double r2609667 = r2609660 - r2609666;
        return r2609667;
}
↓
double f(double x) {
        double r2609668 = 1.0;
        double r2609669 = 0.253;
        double r2609670 = 0.12;
        double r2609671 = x;
        double r2609672 = r2609670 * r2609671;
        double r2609673 = r2609669 + r2609672;
        double r2609674 = r2609673 * r2609671;
        double r2609675 = r2609668 - r2609674;
        return r2609675;
}

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

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

Reproduce

herbie shell --seed 2019172 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))