Average Error: 0.1 → 0.1
Time: 10.8s
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 r74255 = 1.0;
        double r74256 = x;
        double r74257 = 0.253;
        double r74258 = 0.12;
        double r74259 = r74256 * r74258;
        double r74260 = r74257 + r74259;
        double r74261 = r74256 * r74260;
        double r74262 = r74255 - r74261;
        return r74262;
}
↓
double f(double x) {
        double r74263 = 1.0;
        double r74264 = x;
        double r74265 = 0.253;
        double r74266 = 0.12;
        double r74267 = r74264 * r74266;
        double r74268 = r74265 + r74267;
        double r74269 = r74264 * r74268;
        double r74270 = r74263 - r74269;
        return r74270;
}

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 2019298 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (- 1 (* x (+ 0.253 (* x 0.12)))))