Details

sample3.6s (72.0%)

Algorithm

6×

intervals

Results

1.3s	7612×	body	1280	valid
917.0ms	2877×	body	2560	valid
520.0ms	4315×	body	640	valid
284.0ms	10188×	body	80	valid
152.0ms	1812×	body	320	valid
44.0ms	798×	body	160	valid

prune517.0ms (10.2%)

simplify513.0ms (10.1%)

Algorithm

11×	egg-herbie

localize192.0ms (3.8%)

regimes92.0ms (1.8%)

Accuracy

Total 0.0b remaining (94.7%)

Threshold costs 0.0b (94.7%)

0.0b

0%

Expanding a square

rewrite74.0ms (1.5%)

Algorithm

5×	rewrite-expression-head

Calls

5 calls:

22.0ms	(- (* 1 (* (+ x 1.0) (+ x 1.0))) 1.0)
17.0ms	(* (+ x 1.0) (+ x 1.0))
16.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
0.0ms	(fma x 2.0 (pow x 2))

Rules

44×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
19×	`pow1`
15×	`add-cube-cbrt`
12×	`distribute-lft-out` `flip3-+` `flip-+` `swap-sqr`
9×	`add-log-exp` `add-exp-log` `add-cbrt-cube`
8×	`associate-r` `associate-l` `frac-times`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate--l+` `prod-diff`
5×	`log1p-expm1-u` `expm1-log1p-u`
4×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `flip--` `unswap-sqr` `sub-neg` `*-commutative` `prod-exp` `pow-sqr` `cbrt-unprod` `fma-neg` `flip3--` `pow2` `diff-log` `pow-plus` `pow-prod-up`
1×	`difference-of-squares` `fma-udef` `distribute-lft-out--`

series27.0ms (0.5%)

Calls

5 calls:

12.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
6.0ms	(fma x 2.0 (pow x 2))
4.0ms	(- (* 1 (* (+ x 1.0) (+ x 1.0))) 1.0)
2.0ms	(* (+ x 1.0) (+ x 1.0))
2.0ms	(* (+ x 1.0) (+ x 1.0))

bsearch0.0ms (0.0%)

end0.0ms (0.0%)