Average Error: 0.0 → 0.0
Time: 763.0ms
Precision: 64
\[x \cdot \left(x - 1\right)\]
↓
\[{x}^{2} + x \cdot \left(-1\right)\]
x \cdot \left(x - 1\right)
↓
{x}^{2} + x \cdot \left(-1\right)
double f(double x) {
        double r316781 = x;
        double r316782 = 1.0;
        double r316783 = r316781 - r316782;
        double r316784 = r316781 * r316783;
        return r316784;
}
↓
double f(double x) {
        double r316785 = x;
        double r316786 = 2.0;
        double r316787 = pow(r316785, r316786);
        double r316788 = 1.0;
        double r316789 = -r316788;
        double r316790 = r316785 * r316789;
        double r316791 = r316787 + r316790;
        return r316791;
}

Error

Bits error versus x

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Results

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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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019353 
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"
  :precision binary64

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

  (* x (- x 1)))