Average Error: 0.0 → 0.0
Time: 9.2s
Precision: 64
\[x \cdot \left(x - 1.0\right)\]
↓
\[x \cdot x - x \cdot 1.0\]
x \cdot \left(x - 1.0\right)
↓
x \cdot x - x \cdot 1.0
double f(double x) {
        double r15586732 = x;
        double r15586733 = 1.0;
        double r15586734 = r15586732 - r15586733;
        double r15586735 = r15586732 * r15586734;
        return r15586735;
}
↓
double f(double x) {
        double r15586736 = x;
        double r15586737 = r15586736 * r15586736;
        double r15586738 = 1.0;
        double r15586739 = r15586736 * r15586738;
        double r15586740 = r15586737 - r15586739;
        return r15586740;
}

Error

Bits error versus x

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Your Program's Arguments

Results

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Target

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

Derivation

  1. Initial program 0.0

    \[x \cdot \left(x - 1.0\right)\]

  2. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{{x}^{2} - 1.0 \cdot x}\]

  3. Simplified0.0

    \[\leadsto \color{blue}{x \cdot x - x \cdot 1.0}\]

  4. Final simplification0.0

    \[\leadsto x \cdot x - x \cdot 1.0\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"

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

  (* x (- x 1.0)))