Details

sample495.0ms

Algorithm

intervals

Results

287.0ms	100×	body	2560	valid
103.0ms	83×	body	1280	valid
59.0ms	43×	body	640	valid
10.0ms	22×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	11	8
done	11	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize19.0ms

Local error

Found 1 expressions with local error:

1.9b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`times-frac`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-cube-cbrt` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 22

Calls

1 calls:

94.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

series222.0ms

Counts

1 → 3

Calls

1 calls:

222.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify2.2s

Counts

25 → 25

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	75	358
1	165	348
2	451	330
3	2369	330
done	5000	330

prune168.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* 0.022222222222222223 (pow x 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-r`
12×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-cbrt-cube`
4×	`cube-prod` `sqr-pow`
2×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

28.0ms	(* 0.0021164021164021165 (pow x 5))
29.0ms	(* 0.022222222222222223 (pow x 3))

series185.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* 0.0021164021164021165 (pow x 5))
81.0ms	(* 0.022222222222222223 (pow x 3))

simplify936.0ms

Counts

62 → 62

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	96	484
1	232	428
2	834	400
done	5001	396

prune307.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	18	15
done	18	15

end0.0ms

sample16.1s

Algorithm

intervals

Results

9.8s	3197×	body	2560	valid
3.8s	2521×	body	1280	valid
902.0ms	1280×	body	640	valid
808.0ms	647×	body	320	valid
216.0ms	8000×	pre	80	true
87.0ms	308×	body	160	valid
7.0ms	47×	body	80	valid