Details

sample43.0ms

Algorithm

intervals

Results

20.0ms	766×	body	80	nan
9.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	4
1	7	4
2	7	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(log (log x))
0.3b	(- (log x) (log (log x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
9×	`pow1` `*-un-lft-identity`
7×	`add-sqr-sqrt` `log-pow`
5×	`add-cube-cbrt`
4×	`associate--r+` `distribute-lft-out--`
3×	`add-exp-log` `associate--l+`
2×	`add-cbrt-cube` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

1.0ms	(log (log x))
5.0ms	(- (log x) (log (log x)))

series554.0ms

Counts

2 → 6

Calls

2 calls:

221.0ms	(log (log x))
333.0ms	(- (log x) (log (log x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	115	228
1	241	202
2	584	198
3	2015	191
4	5002	191

prune52.0ms

Filtered

43 candidates to 25 candidates (58.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	1	44

Merged error: 0b

Counts

44 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ x (log x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/ x (log x))

series221.0ms

Counts

1 → 3

Calls

1 calls:

221.0ms

(/ x (log x))

simplify60.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	99	157
1	273	147
2	681	144
3	2256	142
4	5001	142

prune46.0ms

Filtered

34 candidates to 22 candidates (64.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

35 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

550.0ms	24228×	body	80	nan
281.0ms	8000×	body	80	valid