Details

sample108.0ms

Algorithm

intervals

Results

34.0ms	78×	body	1280	valid
20.0ms	77×	body	640	valid
18.0ms	323×	body	80	valid
12.0ms	51×	body	320	valid
3.0ms	26×	body	160	valid

simplify371.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	9
1	41	9
2	83	9
3	173	9
4	271	9
5	533	9
6	1023	9
7	1395	9
8	4367	9
9	5002	9

prune3.0ms

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: 18.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.6b	(- (exp l) (exp (- l)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*r/`
3×	`sub-neg` `flip3--` `*-commutative` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-*l/`

Counts

3 → 16

Calls

3 calls:

4.0ms	(* J (- (exp l) (exp (- l))))
5.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
2.0ms	(- (exp l) (exp (- l)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* J (- (exp l) (exp (- l))))
90.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
36.0ms	(- (exp l) (exp (- l)))

simplify38.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	132	151
1	316	148
2	966	142
3	5002	137

prune74.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	1	26

Merged error: 0.1b

Counts

26 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
0.1b	(* 1/60 (pow l 5))
0.1b	(* 1/3 (pow l 3))
0.1b	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/`
3×	`associate-r`
2×	`flip3-+` `associate-l` `associate-*l/` `flip-+` `sqr-pow`
1×	`unpow3`

Counts

4 → 21

Calls

4 calls:

9.0ms	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
3.0ms	(* 1/60 (pow l 5))
3.0ms	(* 1/3 (pow l 3))
10.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
50.0ms	(* 1/60 (pow l 5))
36.0ms	(* 1/3 (pow l 3))
163.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	176	205
1	483	201
2	1986	193
3	5002	193

prune102.0ms

Filtered

33 candidates to 21 candidates (63.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0.0b

Counts

34 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow l 5))
0.1b	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (* J (cos (/ K 2.0))))
0.1b	(* J (cos (/ K 2.0)))
0.1b	(* 1/3 (pow l 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-r` `*-commutative`
2×	`associate-*l/` `sqr-pow`
1×	`flip3-+` `unpow3` `flip-+`

Counts

4 → 11

Calls

4 calls:

3.0ms	(* 1/60 (pow l 5))
9.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (* J (cos (/ K 2.0))))
3.0ms	(* J (cos (/ K 2.0)))
3.0ms	(* 1/3 (pow l 3))

series241.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 1/60 (pow l 5))
113.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (* J (cos (/ K 2.0))))
44.0ms	(* J (cos (/ K 2.0)))
35.0ms	(* 1/3 (pow l 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	123	102
1	404	102
2	1848	94
3	5002	94

prune76.0ms

Filtered

23 candidates to 15 candidates (65.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow l 5))
0.1b	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
0.1b	(* 1/3 (pow l 3))
0.1b	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-r` `*-commutative`
4×	`associate-*l/`
2×	`flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`unpow3`

Counts

4 → 13

Calls

4 calls:

3.0ms	(* 1/60 (pow l 5))
9.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
3.0ms	(* 1/3 (pow l 3))
12.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 1/60 (pow l 5))
88.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
39.0ms	(* 1/3 (pow l 3))
156.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	159	149
1	497	148
2	2268	134
3	5003	134

prune71.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

regimes196.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	2609×	body	1280	valid
649.0ms	2523×	body	640	valid
479.0ms	8667×	body	80	valid
241.0ms	1407×	body	320	valid
84.0ms	717×	body	160	valid