Details

sample4.1s (51.7%)

Algorithm

6×

intervals

Results

1.2s	7504×	body	1280	valid
859.0ms	2924×	body	2560	valid
778.0ms	4280×	body	640	valid
370.0ms	1864×	body	320	valid
217.0ms	10051×	body	80	valid
27.0ms	812×	body	160	valid

simplify3.5s (44.2%)

prune166.0ms (2.1%)

series89.0ms (1.1%)

Calls

2 calls:

72.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
17.0ms	(* (+ x 1.0) (+ x 1.0))

rewrite46.0ms (0.6%)

Algorithm

4×	rewrite-expression-head

Calls

2 calls:

26.0ms	(* (+ x 1.0) (+ x 1.0))
16.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

Rules

20×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `pow1`
6×	`distribute-lft-out` `swap-sqr` `flip-+` `flip3-+` `add-cube-cbrt`
4×	`associate-l` `add-log-exp` `add-cbrt-cube` `frac-times` `associate-r` `add-exp-log`
2×	`associate--l+` `distribute-lft-in` `distribute-rgt-in` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `unswap-sqr` `difference-of-squares` `pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod` `pow-plus` `*-commutative` `flip--` `diff-log` `flip3--` `pow-sqr`

localize20.0ms (0.3%)

end0.0ms (0.0%)