Average Error: 0.0 → 0.0
Time: 7.1s
Precision: 64
\[x + x \cdot x\]
↓
\[\left(1 + x\right) \cdot x\]
x + x \cdot x
↓
\left(1 + x\right) \cdot x
double f(double x) {
        double r126160 = x;
        double r126161 = r126160 * r126160;
        double r126162 = r126160 + r126161;
        return r126162;
}
↓
double f(double x) {
        double r126163 = 1.0;
        double r126164 = x;
        double r126165 = r126163 + r126164;
        double r126166 = r126165 * r126164;
        return r126166;
}

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

    \[x + x \cdot x\]
  2. Using strategy rm

  3. Applied distribute-rgt1-in0.0

    \[\leadsto \color{blue}{\left(x + 1\right) \cdot x}\]

  4. Simplified0.0

    \[\leadsto \color{blue}{\left(1 + x\right)} \cdot x\]

  5. Final simplification0.0

    \[\leadsto \left(1 + x\right) \cdot x\]

Reproduce

herbie shell --seed 2019323 
(FPCore (x)
  :name "Main:bigenough1 from B"
  :precision binary64
  (+ x (* x x)))