Average Error: 0.0 → 0.0
Time: 4.3s
Precision: 64
\[x \cdot \left(x - 1\right)\]
↓
\[{x}^{2} + \left(-1 \cdot x\right)\]
x \cdot \left(x - 1\right)
↓
{x}^{2} + \left(-1 \cdot x\right)
double f(double x) {
        double r289997 = x;
        double r289998 = 1.0;
        double r289999 = r289997 - r289998;
        double r290000 = r289997 * r289999;
        return r290000;
}
↓
double f(double x) {
        double r290001 = x;
        double r290002 = 2.0;
        double r290003 = pow(r290001, r290002);
        double r290004 = 1.0;
        double r290005 = r290004 * r290001;
        double r290006 = -r290005;
        double r290007 = r290003 + r290006;
        return r290007;
}

Error

Bits error versus x

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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-lft-in0.0

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

  5. Simplified0.0

    \[\leadsto \color{blue}{{x}^{2}} + x \cdot \left(-1\right)\]

  6. Simplified0.0

    \[\leadsto {x}^{2} + \color{blue}{\left(-1 \cdot x\right)}\]

  7. Final simplification0.0

    \[\leadsto {x}^{2} + \left(-1 \cdot x\right)\]

Reproduce

herbie shell --seed 2020045 
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"
  :precision binary64

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

  (* x (- x 1)))