Average Error: 0.1 → 0.1
Time: 15.1s
Precision: 64
\[1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)\]
↓
\[1 - \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right) \cdot x\]
1 - x \cdot \left(0.2530000000000000026645352591003756970167 + x \cdot 0.1199999999999999955591079014993738383055\right)
↓
1 - \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right) \cdot x
double f(double x) {
        double r87201 = 1.0;
        double r87202 = x;
        double r87203 = 0.253;
        double r87204 = 0.12;
        double r87205 = r87202 * r87204;
        double r87206 = r87203 + r87205;
        double r87207 = r87202 * r87206;
        double r87208 = r87201 - r87207;
        return r87208;
}
↓
double f(double x) {
        double r87209 = 1.0;
        double r87210 = 0.12;
        double r87211 = x;
        double r87212 = r87210 * r87211;
        double r87213 = 0.253;
        double r87214 = r87212 + r87213;
        double r87215 = r87214 * r87211;
        double r87216 = r87209 - r87215;
        return r87216;
}

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. Simplified0.1

    \[\leadsto \color{blue}{1 - x \cdot \left(0.1199999999999999955591079014993738383055 \cdot x + 0.2530000000000000026645352591003756970167\right)}\]

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))