Details

sample198.0ms

Algorithm

intervals

Results

136.0ms	101×	body	2560	valid
43.0ms	85×	body	1280	valid
6.0ms	37×	body	640	valid
3.0ms	256×	pre	80	true
2.0ms	19×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	1×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	11	4
2	11	4

prune1.0ms

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: 59.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.5b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
6×	`frac-2neg` `clear-num` `div-inv`
2×	`prod-diff`
1×	`tan-quot` `sub-neg` `flip3--` `fma-neg` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	246	173
1	796	147
2	3250	132
3	5001	132

prune37.0ms

Filtered

20 candidates to 14 candidates (70.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	1	21

Merged error: 0.4b

Counts

21 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 0.022222222222222223 (pow x 3) (fma 0.0021164021164021165 (pow x 5) (* 0.3333333333333333 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma 0.022222222222222223 (pow x 3) (fma 0.0021164021164021165 (pow x 5) (* 0.3333333333333333 x)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(fma 0.022222222222222223 (pow x 3) (fma 0.0021164021164021165 (pow x 5) (* 0.3333333333333333 x)))

simplify179.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	17
1	74	17
2	166	17
3	381	17
4	1445	17
5	4761	17
6	5003	17

prune5.0ms

Filtered

4 candidates to 1 candidates (25.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	1	5

Merged error: 0.4b

Counts

5 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample6.9s

Algorithm

intervals

Results

5.0s	3167×	body	2560	valid
1.3s	2572×	body	1280	valid
206.0ms	1255×	body	640	valid
101.0ms	8000×	pre	80	true
63.0ms	642×	body	320	valid
23.0ms	322×	body	160	valid
2.0ms	42×	body	80	valid