Average Error: 0.0 → 0.0
Time: 6.4s
Precision: 64
\[x \cdot x + 1.0\]
↓
\[x \cdot x + 1.0\]
x \cdot x + 1.0
↓
x \cdot x + 1.0
double f(double x) {
        double r10840109 = x;
        double r10840110 = r10840109 * r10840109;
        double r10840111 = 1.0;
        double r10840112 = r10840110 + r10840111;
        return r10840112;
}
↓
double f(double x) {
        double r10840113 = x;
        double r10840114 = r10840113 * r10840113;
        double r10840115 = 1.0;
        double r10840116 = r10840114 + r10840115;
        return r10840116;
}

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

    \[x \cdot x + 1.0\]

  2. Final simplification0.0

    \[\leadsto x \cdot x + 1.0\]

Reproduce

herbie shell --seed 2019164 
(FPCore (x)
  :name "Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, A"
  (+ (* x x) 1.0))