Details

sample393.0ms

Algorithm

intervals

Results

89.0ms	29×	body	2560	valid
30.0ms	56×	body	1280	valid
10.0ms	41×	body	640	valid
6.0ms	137×	body	80	valid
1.0ms	6×	body	320	valid
1.0ms	8×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7

prune5.0ms

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: 15.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.5b	(tan (* PI l))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`tan-quot`
6×	`associate-/r*`
5×	`frac-times` `associate-l/` `-commutative`
3×	`frac-2neg` `clear-num`
2×	`div-inv`
1×	`associate-r/` `associate-l*`

Counts

4 → 20

Calls

4 calls:

2.0ms	(* PI l)
3.0ms	(/ 1.0 (* F F))
7.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
5.0ms	(tan (* PI l))

series266.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
135.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
86.0ms	(tan (* PI l))

simplify61.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	137	130
1	549	130
2	2505	130
3	5003	130

prune69.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 12.2b

Counts

33 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
30.9b	(cos (* PI l))
31.4b	(sin (* PI l))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`*-commutative`

Counts

4 → 2

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
3.0ms	(cos (* PI l))
3.0ms	(sin (* PI l))

series83.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
23.0ms	(* PI l)
17.0ms	(cos (* PI l))
23.0ms	(sin (* PI l))

simplify54.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	89	35
1	346	33
2	1494	33
3	5001	33

prune23.0ms

Filtered

14 candidates to 4 candidates (28.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	14	3	17

Merged error: 8.1b

Counts

17 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.2b	(/ (tan (* PI l)) (pow F 2))
31.5b	(tan (* PI l))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`tan-quot` `associate-/r` `-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l/` `unpow2` `sqr-pow`

Counts

4 → 9

Calls

4 calls:

2.0ms	(* PI l)
2.0ms	(* PI l)
4.0ms	(/ (tan (* PI l)) (pow F 2))
2.0ms	(tan (* PI l))

series218.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
22.0ms	(* PI l)
113.0ms	(/ (tan (* PI l)) (pow F 2))
64.0ms	(tan (* PI l))

simplify57.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	97	79
1	319	79
2	1963	79
3	5001	79

prune50.0ms

Filtered

21 candidates to 12 candidates (57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	20	4	24

Merged error: 8.1b

Counts

24 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
31.5b	(tan (* PI l))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

2×	`tan-quot` `*-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 7

Calls

4 calls:

3.0ms	(/ (tan (* PI l)) F)
2.0ms	(* PI l)
2.0ms	(* PI l)
2.0ms	(tan (* PI l))

series207.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (tan (* PI l)) F)
19.0ms	(* PI l)
20.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify114.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	85	65
1	226	65
2	846	64
3	4228	64
4	5001	64

prune30.0ms

Filtered

19 candidates to 10 candidates (52.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	18	5	23

Merged error: 8.1b

Counts

23 → 5

regimes226.0ms

Accuracy

85.7% (0.7b remaining)

Error of 8.6b against oracle of 7.9b and baseline of 12.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	26
1	48	26

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.3s	793×	body	2560	valid
964.0ms	1761×	body	1280	valid
246.0ms	980×	body	640	valid
200.0ms	4507×	body	80	valid
64.0ms	395×	body	320	valid
21.0ms	193×	body	160	valid
1.0ms	1×	body	10240	exit