Average Error: 0.1 → 0.1
Time: 16.4s
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 r4176232 = 1.0;
        double r4176233 = x;
        double r4176234 = 0.253;
        double r4176235 = 0.12;
        double r4176236 = r4176233 * r4176235;
        double r4176237 = r4176234 + r4176236;
        double r4176238 = r4176233 * r4176237;
        double r4176239 = r4176232 - r4176238;
        return r4176239;
}
↓
double f(double x) {
        double r4176240 = 1.0;
        double r4176241 = 0.253;
        double r4176242 = 0.12;
        double r4176243 = x;
        double r4176244 = r4176242 * r4176243;
        double r4176245 = r4176241 + r4176244;
        double r4176246 = r4176245 * r4176243;
        double r4176247 = r4176240 - r4176246;
        return r4176247;
}

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 2019179 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))