Average Error: 0.1 → 0.1
Time: 3.2s
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 r74202 = 1.0;
        double r74203 = x;
        double r74204 = 0.253;
        double r74205 = 0.12;
        double r74206 = r74203 * r74205;
        double r74207 = r74204 + r74206;
        double r74208 = r74203 * r74207;
        double r74209 = r74202 - r74208;
        return r74209;
}
↓
double f(double x) {
        double r74210 = 1.0;
        double r74211 = x;
        double r74212 = 0.253;
        double r74213 = 0.12;
        double r74214 = r74211 * r74213;
        double r74215 = r74212 + r74214;
        double r74216 = r74211 * r74215;
        double r74217 = r74210 - r74216;
        return r74217;
}

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 2019362 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))