Average Error: 0.0 → 0.0
Time: 13.5s
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 r14156717 = x;
        double r14156718 = 1.0;
        double r14156719 = r14156717 - r14156718;
        double r14156720 = r14156717 * r14156719;
        return r14156720;
}
↓
double f(double x) {
        double r14156721 = x;
        double r14156722 = r14156721 * r14156721;
        double r14156723 = 1.0;
        double r14156724 = -r14156723;
        double r14156725 = r14156724 * r14156721;
        double r14156726 = r14156722 + r14156725;
        return r14156726;
}

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

    \[x \cdot \left(x - 1\right)\]
  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. Final simplification0.0

    \[\leadsto x \cdot x + \left(-1\right) \cdot x\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"

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

  (* x (- x 1.0)))