Details

sample206.0ms

Algorithm

intervals

Results

135.0ms	102×	body	2560	valid
46.0ms	88×	body	1280	valid
9.0ms	33×	body	640	valid
3.0ms	256×	pre	80	true
3.0ms	15×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	3×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
4.9b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`tan-quot` `cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

2.0ms	(/ 1.0 (tan x))
17.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1.0 (tan x))
105.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	115	619
1	234	592
2	487	564
3	1106	564
4	2721	562
done	5001	561

prune122.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

5.0ms	(* 0.0021164021164021165 (pow x 5))
6.0ms	(* 0.022222222222222223 (pow x 3))

series87.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* 0.0021164021164021165 (pow x 5))
36.0ms	(* 0.022222222222222223 (pow x 3))

simplify980.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	96	484
1	213	428
2	556	396
3	2153	396
done	5000	396

prune126.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample6.7s

Algorithm

intervals

Results

4.6s	3371×	body	2560	valid
1.3s	2415×	body	1280	valid
328.0ms	1247×	body	640	valid
102.0ms	597×	body	320	valid
97.0ms	8000×	pre	80	true
39.0ms	310×	body	160	valid
4.0ms	60×	body	80	valid