Average Error: 0.1 → 0.1
Time: 22.0s
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 r3957209 = 1.0;
        double r3957210 = x;
        double r3957211 = 0.253;
        double r3957212 = 0.12;
        double r3957213 = r3957210 * r3957212;
        double r3957214 = r3957211 + r3957213;
        double r3957215 = r3957210 * r3957214;
        double r3957216 = r3957209 - r3957215;
        return r3957216;
}
↓
double f(double x) {
        double r3957217 = 1.0;
        double r3957218 = 0.253;
        double r3957219 = 0.12;
        double r3957220 = x;
        double r3957221 = r3957219 * r3957220;
        double r3957222 = r3957218 + r3957221;
        double r3957223 = r3957222 * r3957220;
        double r3957224 = r3957217 - r3957223;
        return r3957224;
}

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 2019170 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))