Average Error: 0.0 → 0.0
Time: 6.9s
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 r245404 = x;
        double r245405 = 1.0;
        double r245406 = r245404 - r245405;
        double r245407 = r245404 * r245406;
        return r245407;
}
↓
double f(double x) {
        double r245408 = x;
        double r245409 = r245408 * r245408;
        double r245410 = 1.0;
        double r245411 = -r245410;
        double r245412 = r245411 * r245408;
        double r245413 = r245409 + r245412;
        return r245413;
}

Error

Bits error versus x

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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)))