Details

sample109.0ms

Algorithm

intervals

Results

34.0ms	78×	body	1280	valid
21.0ms	77×	body	640	valid
20.0ms	323×	body	80	valid
9.0ms	51×	body	320	valid
3.0ms	26×	body	160	valid

simplify372.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	8
1	44	8
2	91	8
3	195	8
4	332	8
5	652	8
6	1279	8
7	1694	8
8	4978	8
9	5001	8

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 18.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`*-commutative` `fma-udef`

Counts

3 → 12

Calls

3 calls:

3.0ms	(* J (- (exp l) (exp (- l))))
1.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
2.0ms	(- (exp l) (exp (- l)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* J (- (exp l) (exp (- l))))
159.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
38.0ms	(- (exp l) (exp (- l)))

simplify39.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	153	138
1	377	126
2	1077	116
3	5001	113

prune61.0ms

Filtered

21 candidates to 13 candidates (61.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	2	22

Merged error: 0.1b

Counts

22 → 2

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`

Counts

3 → 5

Calls

3 calls:

1.0ms	(fma 1/60 (pow l 5) (* 2 l))
2.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series478.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(fma 1/60 (pow l 5) (* 2 l))
131.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
230.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify81.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	98	79
1	266	74
2	801	66
3	2559	66
4	5001	66

prune27.0ms

Filtered

14 candidates to 6 candidates (42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.1b

Counts

16 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l))))
0.1b	(fma (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
0.1b	(* 1/3 (pow l 3))
3.9b	(* J (* 1/3 (pow l 3)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-r`
7×	`*-commutative`
6×	`fma-def`
3×	`unpow3` `fma-udef` `sqr-pow`
2×	`associate-+r+`
1×	`+-commutative` `distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 22

Calls

4 calls:

10.0ms	(+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l))))
1.0ms	(fma (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
3.0ms	(* 1/3 (pow l 3))
4.0ms	(* J (* 1/3 (pow l 3)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l))))
234.0ms	(fma (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
38.0ms	(* 1/3 (pow l 3))
55.0ms	(* J (* 1/3 (pow l 3)))

simplify144.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	177	158
1	650	148
2	3599	138
3	5001	136

prune112.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.0b

Counts

4 → 4

regimes156.0ms

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	26	11
1	26	11

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	2609×	body	1280	valid
663.0ms	2523×	body	640	valid
485.0ms	8667×	body	80	valid
252.0ms	1407×	body	320	valid
87.0ms	717×	body	160	valid