Details

sample351.0ms

Algorithm

intervals

Results

266.0ms	247×	body	5120	exit
37.0ms	79×	body	1280	valid
14.0ms	60×	body	640	valid
5.0ms	175×	body	80	nan
4.0ms	79×	body	80	valid
4.0ms	24×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	2×	body	2560	valid
1.0ms	11×	body	160	valid

simplify139.0ms

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	147	3
9	1361	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: 35.9b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

40.8b

(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify102.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	49
1	24	42
2	29	42
3	36	42
4	56	42
5	115	42
6	564	42
7	1838	42
8	5001	42

prune32.0ms

Filtered

10 candidates to 7 candidates (70.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	5	5	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	6	11

Merged error: 35.9b

Counts

11 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
40.8b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

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

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
20.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify84.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	55	234
1	81	206
2	103	200
3	150	194
4	295	194
5	724	194
6	2472	194
7	5001	194

prune105.0ms

Filtered

43 candidates to 23 candidates (53.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	35	8	43
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	37	12	49

Merged error: 35.9b

Counts

49 → 12

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.8b	(fmod (cosh c) (log1p a))
40.8b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series15.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fmod (cosh c) (log1p a)))
2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify108.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	96	486
1	366	425
2	2218	405
3	5001	387

prune175.0ms

Filtered

88 candidates to 42 candidates (47.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	80	8	88
Fresh	2	8	10
Picked	1	0	1
Done	1	0	1
Total	84	16	100

Merged error: 35.8b

Counts

100 → 16

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b	(pow E (log (fmod (cosh c) (log1p a))))
1.0b	(log (fmod (cosh c) (log1p a)))
40.8b	(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×	`pow-unpow`
3×	`unpow-prod-up` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 41

Calls

3 calls:

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

series67.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(pow E (log (fmod (cosh c) (log1p a))))
22.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify195.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	102	318
1	285	273
2	967	269
3	4847	255
4	5002	255

prune91.0ms

Filtered

50 candidates to 28 candidates (56.0%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	7	8	15
Picked	0	1	1
Done	0	0	0
Total	51	15	66

Merged error: 35.8b

Counts

66 → 15

regimes308.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	15	7
2	15	7

end0.0ms

sample10.9s

Algorithm

intervals

Results

8.3s	7859×	body	5120	exit
1.1s	2317×	body	1280	valid
371.0ms	1538×	body	640	valid
192.0ms	170×	body	2560	valid
172.0ms	5297×	body	80	nan
144.0ms	2817×	body	80	valid
113.0ms	778×	body	320	valid
40.0ms	367×	body	160	valid
22.0ms	13×	body	5120	valid

Details

sample351.0ms

simplify139.0ms

prune2.0ms

localize10.0ms

rewrite1.0ms

series2.0ms

simplify102.0ms

prune32.0ms

localize9.0ms

rewrite5.0ms

series27.0ms

simplify84.0ms

prune105.0ms

localize8.0ms

rewrite10.0ms

series15.0ms

simplify108.0ms

prune175.0ms

localize10.0ms

rewrite6.0ms

series67.0ms

simplify195.0ms

prune91.0ms

regimes308.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample10.9s

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