Average Error: 0.1 → 0.1
Time: 19.6s
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 r3393145 = 1.0;
        double r3393146 = x;
        double r3393147 = 0.253;
        double r3393148 = 0.12;
        double r3393149 = r3393146 * r3393148;
        double r3393150 = r3393147 + r3393149;
        double r3393151 = r3393146 * r3393150;
        double r3393152 = r3393145 - r3393151;
        return r3393152;
}
↓
double f(double x) {
        double r3393153 = 1.0;
        double r3393154 = 0.253;
        double r3393155 = 0.12;
        double r3393156 = x;
        double r3393157 = r3393155 * r3393156;
        double r3393158 = r3393154 + r3393157;
        double r3393159 = r3393158 * r3393156;
        double r3393160 = r3393153 - r3393159;
        return r3393160;
}

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 2019172 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  (- 1.0 (* x (+ 0.253 (* x 0.12)))))