Details

simplify6.2s (58.3%)

sample3.9s (36.9%)

Algorithm

6×

intervals

Results

1.6s	7617×	body	1280	valid
621.0ms	2890×	body	2560	valid
543.0ms	10096×	body	80	valid
323.0ms	4277×	body	640	valid
90.0ms	1843×	body	320	valid
28.0ms	848×	body	160	valid

series191.0ms (1.8%)

Calls

4 calls:

65.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
56.0ms	(+ (* 2.0 x) (* x x))
51.0ms	(* x (+ 2.0 x))
17.0ms	(* (+ x 1.0) (+ x 1.0))

prune186.0ms (1.8%)

rewrite91.0ms (0.9%)

Algorithm

5×	rewrite-expression-head

Calls

4 calls:

38.0ms	(* (+ x 1.0) (+ x 1.0))
22.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
18.0ms	(* x (+ 2.0 x))
8.0ms	(+ (* 2.0 x) (* x x))

Rules

27×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`pow1`
11×	`add-cube-cbrt`
8×	`associate-r` `add-log-exp` `flip3-+` `flip-+` `add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out` `associate-l`
6×	`swap-sqr`
4×	`log1p-expm1-u` `associate-*r/` `expm1-log1p-u` `frac-times`
3×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
2×	`pow-prod-down` `associate--l+` `unswap-sqr` `-commutative` `associate-l/` `cbrt-unprod` `prod-exp`
1×	`flip--` `sub-neg` `fma-def` `pow-sqr` `+-commutative` `distribute-rgt-out` `fma-neg` `diff-log` `sum-log` `pow2` `flip3--` `difference-of-squares` `pow-plus` `pow-prod-up`

localize26.0ms (0.2%)

regimes11.0ms (0.1%)

Accuracy

Total 0.0b remaining (19.3%)

Threshold costs 0.0b (19.3%)

0.0b

0%

Expanding a square

bsearch0.0ms (0.0%)

end0.0ms (0.0%)