Average Error: 0.0 → 0.0
Time: 861.0ms
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 r251593 = x;
        double r251594 = 1.0;
        double r251595 = r251593 - r251594;
        double r251596 = r251593 * r251595;
        return r251596;
}
↓
double f(double x) {
        double r251597 = x;
        double r251598 = 2.0;
        double r251599 = pow(r251597, r251598);
        double r251600 = 1.0;
        double r251601 = -r251600;
        double r251602 = r251597 * r251601;
        double r251603 = r251599 + r251602;
        return r251603;
}

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 2020001 +o rules:numerics
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"
  :precision binary64

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

  (* x (- x 1)))