Details

sample348.0ms

Algorithm

intervals

Results

258.0ms	247×	body	5120	exit
32.0ms	66×	body	1280	valid
17.0ms	51×	body	640	valid
6.0ms	5×	body	2560	valid
5.0ms	176×	body	80	nan
5.0ms	34×	body	320	valid
4.0ms	91×	body	80	valid
1.0ms	9×	body	160	valid

simplify215.0ms

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	1044	3
10	5001	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: 33.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
38.3b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify133.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	76	89
1	159	79
2	542	71
3	3481	69
4	5001	69

prune65.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	13	8	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	8	22

Merged error: 33.5b

Counts

22 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.4b	(exp (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
38.3b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`cosh-def` `rem-log-exp` `rem-exp-log`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cosh c)
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series66.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify151.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	109	274
1	219	243
2	647	229
3	3968	221
4	5001	221

prune144.0ms

Filtered

54 candidates to 33 candidates (61.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	49	13	62

Merged error: 33.5b

Counts

62 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.4b	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0b	(log (fmod (cosh c) (log1p a)))
38.3b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

17×	`exp-prod`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 69

Calls

4 calls:

2.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
5.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series58.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
3.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify132.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	133	473
1	432	423
2	2928	418
3	5002	418

prune218.0ms

Filtered

81 candidates to 42 candidates (51.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	72	9	81
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	75	19	94

Merged error: 33.5b

Counts

94 → 19

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (fmod (cosh c) (log1p a)))
1.0b	(log (fmod (cosh c) (log1p a)))
38.3b	(fmod (cosh c) (log1p a))
38.3b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
2×	`rem-log-exp` `log-pow`

Counts

4 → 38

Calls

4 calls:

2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series43.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify188.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	286
1	48	244
2	62	244
3	76	244
4	120	244
5	247	244
6	1104	244
7	4889	244
8	5001	244

prune130.0ms

Filtered

50 candidates to 32 candidates (64.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	49	20	69

Merged error: 33.5b

Counts

69 → 20

regimes411.0ms

Accuracy

0% (0.1b remaining)

Error of 33.9b against oracle of 33.8b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	20
1	18	20

end0.0ms

sample11.0s

Algorithm

intervals

Results

8.4s	7993×	body	5120	exit
1.1s	2278×	body	1280	valid
376.0ms	1550×	body	640	valid
169.0ms	5256×	body	80	nan
166.0ms	147×	body	2560	valid
139.0ms	2818×	body	80	valid
121.0ms	798×	body	320	valid
44.0ms	401×	body	160	valid
14.0ms	8×	body	5120	valid