Details

sample327.0ms

Algorithm

intervals

Results

250.0ms	258×	body	10240	exit
29.0ms	64×	body	1280	valid
10.0ms	48×	body	640	valid
6.0ms	173×	body	80	nan
5.0ms	5×	body	2560	valid
4.0ms	97×	body	80	valid
4.0ms	31×	body	320	valid
1.0ms	11×	body	160	valid

simplify219.0ms

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

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: 32.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
36.7b	(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))

series52.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify137.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (22.0ms)

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

prune70.0ms

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: 32.3b

Counts

22 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.5b	(exp (log (fmod (cosh c) (log1p a))))
2.3b	(log (fmod (cosh c) (log1p a)))
36.7b	(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` `add-log-exp`
4×	`exp-prod` `add-cbrt-cube`
3×	`exp-sum`
2×	`log-pow` `rem-exp-log`
1×	`cosh-def` `rem-log-exp`

Counts

4 → 43

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))

series72.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cosh c)
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify150.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (25.0ms)

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

prune167.0ms

Filtered

55 candidates to 33 candidates (60.0%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	48	15	63

Merged error: 32.3b

Counts

63 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.7b	(pow E (log (fmod (cosh c) (log1p a))))
2.3b	(log (fmod (cosh c) (log1p a)))
36.7b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `log-prod`
4×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `cosh-def` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cosh c)
3.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

series114.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cosh c)
44.0ms	(pow E (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify64.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	156	358
1	482	309
2	1848	298
3	5002	286

prune200.0ms

Filtered

61 candidates to 37 candidates (60.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	50	11	61
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	59	17	76

Merged error: 32.3b

Counts

76 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
2.3b	(log (fmod (cosh c) (log1p a)))
36.7b	(fmod (cosh c) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
18×	`pow-unpow`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`unpow-prod-down`
10×	`pow1`
8×	`cube-prod`
6×	`add-exp-log`
5×	`log-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod` `sqr-pow`
2×	`cube-mult` `unpow3` `pow-exp` `rem-cbrt-cube`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow1/3` `rem-log-exp`

Counts

4 → 75

Calls

4 calls:

3.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
5.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series90.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
48.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify73.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	173	573
1	536	519
2	2562	519
3	5001	507

prune201.0ms

Filtered

87 candidates to 45 candidates (51.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	82	22	104

Merged error: 32.3b

Counts

104 → 22

regimes469.0ms

Accuracy

0% (0.1b remaining)

Error of 34.7b against oracle of 34.6b and baseline of 34.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	18	13
2	18	13

end0.0ms

sample10.1s

Algorithm

intervals

Results

7.7s	7627×	body	10240	exit
1.1s	2347×	body	1280	valid
346.0ms	1597×	body	640	valid
169.0ms	152×	body	2560	valid
156.0ms	5183×	body	80	nan
125.0ms	2693×	body	80	valid
101.0ms	776×	body	320	valid
43.0ms	430×	body	160	valid
7.0ms	5×	body	5120	valid