Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	813×	body	80	nan
7.0ms	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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (log x))
0.2b	(- (log x) (log (log x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `*-un-lft-identity`
16×	`add-sqr-sqrt` `prod-diff` `log-pow`
14×	`add-cube-cbrt`
11×	`log-prod`
6×	`add-log-exp`
4×	`fma-neg` `diff-log` `associate--r+` `distribute-lft-out--`
3×	`add-exp-log` `associate--l+`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 64

Calls

2 calls:

2.0ms	(log (log x))
6.0ms	(- (log x) (log (log x)))

series681.0ms

Counts

2 → 6

Calls

2 calls:

260.0ms	(log (log x))
421.0ms	(- (log x) (log (log x)))

simplify80.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	168	599
1	441	407
2	1750	403
3	5003	287

prune70.0ms

Filtered

70 candidates to 33 candidates (47.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	1	71

Merged error: 0b

Counts

71 → 1

localize7.0ms

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` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

3.0ms

(/ x (log x))

series445.0ms

Counts

1 → 3

Calls

1 calls:

444.0ms

(/ x (log x))

simplify70.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	101	163
1	275	153
2	681	150
3	2284	148
4	5002	148

prune55.0ms

Filtered

36 candidates to 24 candidates (66.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	1	37

Merged error: 0b

Counts

37 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	3

end0.0ms

sample997.0ms

Algorithm

intervals

Results

413.0ms	23991×	body	80	nan
224.0ms	8000×	body	80	valid