Average Error: 0.1 → 0.1
Time: 11.1s
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 r68753 = 1.0;
        double r68754 = x;
        double r68755 = 0.253;
        double r68756 = 0.12;
        double r68757 = r68754 * r68756;
        double r68758 = r68755 + r68757;
        double r68759 = r68754 * r68758;
        double r68760 = r68753 - r68759;
        return r68760;
}
↓
double f(double x) {
        double r68761 = 1.0;
        double r68762 = 0.253;
        double r68763 = 0.12;
        double r68764 = x;
        double r68765 = r68763 * r68764;
        double r68766 = r68762 + r68765;
        double r68767 = r68766 * r68764;
        double r68768 = r68761 - r68767;
        return r68768;
}

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 2019194 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))