Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

363×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	11	6
2	22	6
3	40	6
4	84	6
5	194	6
6	475	6
7	1303	6
done	5000	6

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* (* x y) y))
0.2b	(* (* x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`exp-prod` `exp-to-pow` `associate-l` `*-commutative` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

3.0ms	(exp (* (* x y) y))
5.0ms	(* (* x y) y)

series21.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(exp (* (* x y) y))
11.0ms	(* (* x y) y)

simplify3.1s

Counts

34 → 34

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	53	260
1	130	252
2	486	211
3	2025	211
done	5001	211

prune36.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	1	35

Merged error: 0.0b

Counts

35 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* x (pow y 2)))
7.1b	(* x (pow y 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

2 → 37

Calls

2 calls:

2.0ms	(exp (* x (pow y 2)))
6.0ms	(* x (pow y 2))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(exp (* x (pow y 2)))
7.0ms	(* x (pow y 2))

simplify3.4s

Counts

43 → 43

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	67	333
1	137	307
2	367	263
3	984	263
4	4630	258
done	5000	258

prune53.0ms

Filtered

27 candidates to 43 candidates (-59.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	1	44

Merged error: 0.0b

Counts

44 → 1

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	7	6
done	7	6

end0.0ms

sample576.0ms

Algorithm

intervals

Results

274.0ms

10771×

body

valid

Details

sample26.0ms

simplify1.9s

prune3.0ms

localize5.0ms

rewrite8.0ms

series21.0ms

simplify3.1s

prune36.0ms

localize5.0ms

rewrite9.0ms

series16.0ms

simplify3.4s

prune53.0ms

simplify1.0ms

end0.0ms

sample576.0ms

Profiling