Details

simplify6.3s (57.6%)

sample4.0s (36.7%)

Algorithm

6×

intervals

Results

1.2s	2960×	body	2560	valid
996.0ms	7554×	body	1280	valid
644.0ms	4252×	body	640	valid
296.0ms	10118×	body	80	valid
118.0ms	1786×	body	320	valid
26.0ms	852×	body	160	valid

prune303.0ms (2.8%)

series188.0ms (1.7%)

Calls

4 calls:

68.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
55.0ms	(+ (* x x) (* 2.0 x))
47.0ms	(* x (+ x 2.0))
17.0ms	(* (+ x 1.0) (+ x 1.0))

rewrite74.0ms (0.7%)

Algorithm

5×	rewrite-expression-head

Calls

4 calls:

27.0ms	(* (+ x 1.0) (+ x 1.0))
22.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
15.0ms	(* x (+ x 2.0))
6.0ms	(+ (* x x) (* 2.0 x))

Rules

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

localize24.0ms (0.2%)

regimes21.0ms (0.2%)

Accuracy

Total 0.0b remaining (95.4%)

Threshold costs 0.0b (95.4%)

0.0b

0%

Expanding a square

bsearch0.0ms (0.0%)

end0.0ms (0.0%)