Details

sample96.0ms

Algorithm

intervals

Results

33.0ms	79×	body	1280	valid
19.0ms	76×	body	640	valid
16.0ms	289×	body	80	valid
6.0ms	38×	body	320	valid
3.0ms	27×	body	160	valid

simplify385.0ms

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: 14.4b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
3.7b	(- (exp l) (exp (- l)))

rewrite19.0ms

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/`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 19

Calls

4 calls:

7.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
3.0ms	(* J (- (exp l) (exp (- l))))
5.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
2.0ms	(- (exp l) (exp (- l)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
56.0ms	(* J (- (exp l) (exp (- l))))
90.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
35.0ms	(- (exp l) (exp (- l)))

simplify69.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	209	247
1	540	236
2	1958	222
3	5001	222

prune91.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	1	32

Merged error: 0.1b

Counts

32 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 13

Calls

4 calls:

11.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
3.0ms	(* 1/60 (pow l 5))
10.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
3.0ms	(* 1/3 (pow l 3))

series587.0ms

Counts

4 → 12

Calls

4 calls:

336.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
47.0ms	(* 1/60 (pow l 5))
165.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
39.0ms	(* 1/3 (pow l 3))

simplify125.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	184	208
1	628	208
2	3559	181
3	5001	181

prune93.0ms

Filtered

25 candidates to 17 candidates (68.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0b

Counts

26 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 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	(* 1/3 (pow l 3))
0.2b	(* J (cos (/ K 2.0)))

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	(* 1/3 (pow l 3))
3.0ms	(* J (cos (/ K 2.0)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 1/60 (pow l 5))
117.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (* J (cos (/ K 2.0))))
40.0ms	(* 1/3 (pow l 3))
41.0ms	(* J (cos (/ K 2.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (15.0ms)

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

prune81.0ms

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: 0b

Counts

28 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (pow l 3))
0.1b	(* 1/3 (pow l 3))
6.5b	(* J (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
15.8b	(/ (* (* J (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))) (cos (/ K 2.0))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-commutative`
12×	`associate-r`
8×	`associate-/l*` `difference-of-squares`
6×	`associate-l`
4×	`associate-*r/`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `unpow3` `associate-*l/` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 32

Calls

4 calls:

3.0ms	(* 1/3 (pow l 3))
3.0ms	(* 1/3 (pow l 3))
18.0ms	(* J (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
27.0ms	(/ (* (* J (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))) (cos (/ K 2.0))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

series851.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 1/3 (pow l 3))
35.0ms	(* 1/3 (pow l 3))
417.0ms	(* J (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
358.0ms	(/ (* (* J (- (* (* 1/3 (pow l 3)) (* 1/3 (pow l 3))) (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))) (cos (/ K 2.0))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

simplify48.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	319	550
1	1356	533
2	5001	511

prune151.0ms

Filtered

44 candidates to 27 candidates (61.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	44	5	49

Merged error: 0b

Counts

49 → 5

regimes217.0ms

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	2614×	body	1280	valid
654.0ms	2534×	body	640	valid
472.0ms	8479×	body	80	valid
253.0ms	1453×	body	320	valid
86.0ms	743×	body	160	valid