Average Error: 0.0 → 0.0
Time: 1.7s
Precision: 64
\[x \cdot \left(x - 1\right)\]
↓
\[x \cdot x + x \cdot \left(-1\right)\]
x \cdot \left(x - 1\right)
↓
x \cdot x + x \cdot \left(-1\right)
double f(double x) {
        double r217543 = x;
        double r217544 = 1.0;
        double r217545 = r217543 - r217544;
        double r217546 = r217543 * r217545;
        return r217546;
}
↓
double f(double x) {
        double r217547 = x;
        double r217548 = r217547 * r217547;
        double r217549 = 1.0;
        double r217550 = -r217549;
        double r217551 = r217547 * r217550;
        double r217552 = r217548 + r217551;
        return r217552;
}

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

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019196 +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)))