Average Error: 0.0 → 0.0
Time: 575.0ms
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 r157578 = x;
        double r157579 = r157578 * r157578;
        double r157580 = r157578 + r157579;
        return r157580;
}
↓
double f(double x) {
        double r157581 = 1.0;
        double r157582 = x;
        double r157583 = r157581 + r157582;
        double r157584 = r157583 * r157582;
        return r157584;
}

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 2020046 
(FPCore (x)
  :name "Main:bigenough1 from B"
  :precision binary64
  (+ x (* x x)))