Average Error: 0.0 → 0.0
Time: 6.5s
Precision: 64
\[x \cdot \left(x - 1\right)\]
↓
\[x \cdot x + \left(-1\right) \cdot x\]
x \cdot \left(x - 1\right)
↓
x \cdot x + \left(-1\right) \cdot x
double f(double x) {
        double r292365 = x;
        double r292366 = 1.0;
        double r292367 = r292365 - r292366;
        double r292368 = r292365 * r292367;
        return r292368;
}
↓
double f(double x) {
        double r292369 = x;
        double r292370 = r292369 * r292369;
        double r292371 = 1.0;
        double r292372 = -r292371;
        double r292373 = r292372 * r292369;
        double r292374 = r292370 + r292373;
        return r292374;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[x \cdot x - x\]

Derivation

  1. Initial program 0.0

    \[x \cdot \left(x - 1\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-rgt-in0.0

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

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"

  :herbie-target
  (- (* x x) x)

  (* x (- x 1.0)))