Average Error: 0.0 → 0.0
Time: 2.4s
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 r189020 = x;
        double r189021 = 1.0;
        double r189022 = r189020 - r189021;
        double r189023 = r189020 * r189022;
        return r189023;
}
↓
double f(double x) {
        double r189024 = x;
        double r189025 = r189024 * r189024;
        double r189026 = 1.0;
        double r189027 = -r189026;
        double r189028 = r189024 * r189027;
        double r189029 = r189025 + r189028;
        return r189029;
}

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 2019179 +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)))