Average Error: 0.0 → 0.0
Time: 775.0ms
Precision: binary64
\[x \cdot \left(x - 1\right)\]
↓
\[{x}^{2} - x\]
x \cdot \left(x - 1\right)
↓
{x}^{2} - x
(FPCore (x) :precision binary64 (* x (- x 1.0)))
↓
(FPCore (x) :precision binary64 (- (pow x 2.0) x))
double code(double x) {
	return x * (x - 1.0);
}
↓
double code(double x) {
	return pow(x, 2.0) - x;
}

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. Taylor expanded around 0 0.0

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

  3. Final simplification0.0

    \[\leadsto {x}^{2} - x\]

Alternatives

Reproduce

herbie shell --seed 2021118 
(FPCore (x)
  :name "Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2"
  :precision binary64

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

  (* x (- x 1.0)))