Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

Average Error: 0.0 → 0.0

Time: 3.8s

Precision: binary64

• Falling back on racket egraph because egg-herbie package not installed

Math

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

↓

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

Error

Bits error versus x

Target

Original	0.0
Target	0.0
Herbie	0.0

\[x \cdot x - x\]

Derivation

1. Initial program 0.0

   \[x \cdot \left(x - 1\right)\]
2. Using strategy rm

3. Applied sub-neg 0.0

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

4. Applied distribute-lft-in 0.0

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

5. Final simplification 0.0

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

Reproduce

herbie shell --seed 2020182 
(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)))