Average Error: 0.0 → 0.0
Time: 732.0ms
Precision: 64
\[x \cdot x + 1\]
↓
\[x \cdot x + 1\]
x \cdot x + 1
↓
x \cdot x + 1
double f(double x) {
        double r20794 = x;
        double r20795 = r20794 * r20794;
        double r20796 = 1.0;
        double r20797 = r20795 + r20796;
        return r20797;
}
↓
double f(double x) {
        double r20798 = x;
        double r20799 = r20798 * r20798;
        double r20800 = 1.0;
        double r20801 = r20799 + r20800;
        return r20801;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot x + 1\]

  2. Final simplification0.0

    \[\leadsto x \cdot x + 1\]

Reproduce

herbie shell --seed 2019310 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A"
  :precision binary64
  (+ (* x x) 1))