Average Error: 0.0 → 0.0
Time: 898.0ms
Precision: 64
\[x \cdot x + 1\]
↓
\[x \cdot x + 1\]
x \cdot x + 1
↓
x \cdot x + 1
double f(double x) {
        double r20975578 = x;
        double r20975579 = r20975578 * r20975578;
        double r20975580 = 1.0;
        double r20975581 = r20975579 + r20975580;
        return r20975581;
}
↓
double f(double x) {
        double r20975582 = x;
        double r20975583 = r20975582 * r20975582;
        double r20975584 = 1.0;
        double r20975585 = r20975583 + r20975584;
        return r20975585;
}

Error

Bits error versus x

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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 2019173 
(FPCore (x)
  :name "Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A"
  (+ (* x x) 1.0))