Details

sample354.0ms

Algorithm

intervals

Results

267.0ms	260×	body	10240	exit
33.0ms	70×	body	1280	valid
15.0ms	55×	body	640	valid
5.0ms	5×	body	2560	valid
5.0ms	166×	body	80	nan
4.0ms	31×	body	320	valid
4.0ms	87×	body	80	valid
2.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	43	3
7	64	3
8	154	3
9	1042	3
10	5002	3

prune2.0ms

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: 34.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
39.6b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`cosh-def`

Counts

2 → 1

Calls

2 calls:

1.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series51.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify84.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	60	29
1	127	29
2	404	21
3	2062	19
4	5001	19

prune9.0ms

Filtered

7 candidates to 2 candidates (28.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	2	8

Merged error: 34.8b

Counts

8 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/24 (pow c 4)) (+ (* 1/2 (pow c 2)) 1))
0.0b	(* 1/2 (pow c 2))
0.1b	(* 1/24 (pow c 4))
39.5b	(fmod (+ (* 1/24 (pow c 4)) (+ (* 1/2 (pow c 2)) 1)) (log1p a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r`
2×	`+-commutative` `associate-+r+` `*-commutative` `sqr-pow`
1×	`flip3-+` `flip-+` `unpow2`

Counts

4 → 10

Calls

4 calls:

7.0ms	(+ (* 1/24 (pow c 4)) (+ (* 1/2 (pow c 2)) 1))
3.0ms	(* 1/2 (pow c 2))
3.0ms	(* 1/24 (pow c 4))
1.0ms	(fmod (+ (* 1/24 (pow c 4)) (+ (* 1/2 (pow c 2)) 1)) (log1p a))

series108.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* 1/24 (pow c 4)) (+ (* 1/2 (pow c 2)) 1))
24.0ms	(* 1/2 (pow c 2))
40.0ms	(* 1/24 (pow c 4))
6.0ms	(fmod (+ (* 1/24 (pow c 4)) (+ (* 1/2 (pow c 2)) 1)) (log1p a))

simplify125.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	108
1	388	107
2	2602	107
3	5002	107

prune50.0ms

Filtered

22 candidates to 10 candidates (45.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	21	3	24

Merged error: 34.8b

Counts

24 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow c 2))
0.1b	(* (* 1/24 (pow c 2)) (pow c (/ 4 2)))
0.2b	(* 1/24 (pow c 2))
39.5b	(fmod (+ (* (* 1/24 (pow c 2)) (pow c (/ 4 2))) (+ (* 1/2 (pow c 2)) 1)) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-r`
4×	`associate-l` `*-commutative` `sqr-pow`
3×	`unpow2`

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 1/2 (pow c 2))
5.0ms	(* (* 1/24 (pow c 2)) (pow c (/ 4 2)))
3.0ms	(* 1/24 (pow c 2))
1.0ms	(fmod (+ (* (* 1/24 (pow c 2)) (pow c (/ 4 2))) (+ (* 1/2 (pow c 2)) 1)) (log1p a))

series94.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/2 (pow c 2))
39.0ms	(* (* 1/24 (pow c 2)) (pow c (/ 4 2)))
24.0ms	(* 1/24 (pow c 2))
7.0ms	(fmod (+ (* (* 1/24 (pow c 2)) (pow c (/ 4 2))) (+ (* 1/2 (pow c 2)) 1)) (log1p a))

simplify337.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	62	56
1	166	53
2	543	53
3	4796	53
4	5002	53

prune55.0ms

Filtered

24 candidates to 12 candidates (50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 34.8b

Counts

27 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/24 (pow c 4)) (* 1/2 (pow c 2)))
0.0b	(* 1/2 (pow c 2))
0.1b	(* 1/24 (pow c 4))
39.5b	(fmod (+ (+ (* 1/24 (pow c 4)) (* 1/2 (pow c 2))) 1) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r`
2×	`*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `flip-+` `unpow2`

Counts

4 → 8

Calls

4 calls:

5.0ms	(+ (* 1/24 (pow c 4)) (* 1/2 (pow c 2)))
3.0ms	(* 1/2 (pow c 2))
3.0ms	(* 1/24 (pow c 4))
1.0ms	(fmod (+ (+ (* 1/24 (pow c 4)) (* 1/2 (pow c 2))) 1) (log1p a))

series165.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (* 1/24 (pow c 4)) (* 1/2 (pow c 2)))
23.0ms	(* 1/2 (pow c 2))
38.0ms	(* 1/24 (pow c 4))
6.0ms	(fmod (+ (+ (* 1/24 (pow c 4)) (* 1/2 (pow c 2))) 1) (log1p a))

simplify108.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	93	90
1	342	86
2	1920	82
3	5001	82

prune36.0ms

Filtered

20 candidates to 9 candidates (45.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	20	3	23

Merged error: 34.8b

Counts

23 → 3

regimes71.0ms

Accuracy

0% (0.0b remaining)

Error of 34.9b against oracle of 34.9b and baseline of 34.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	28	10
2	28	10

end0.0ms

sample10.5s

Algorithm

intervals

Results

8.1s	7958×	body	10240	exit
1.0s	2277×	body	1280	valid
351.0ms	1585×	body	640	valid
173.0ms	161×	body	2560	valid
158.0ms	5301×	body	80	nan
117.0ms	2683×	body	80	valid
117.0ms	876×	body	320	valid
41.0ms	405×	body	160	valid
21.0ms	13×	body	5120	valid