Details

sample1.6s

Algorithm

intervals

Results

778.0ms	297×	body	5120	exit
212.0ms	107×	body	2560	valid
84.0ms	105×	body	1280	nan
72.0ms	73×	body	1280	valid
35.0ms	73×	body	640	nan
31.0ms	47×	body	640	valid
30.0ms	305×	body	80	nan
15.0ms	48×	body	320	nan
8.0ms	19×	body	320	valid
3.0ms	14×	body	160	nan
3.0ms	1×	body	5120	nan
2.0ms	8×	body	160	valid
0.0ms	2×	body	80	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5001	6

prune5.0ms

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: 61.6b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`unpow-prod-down` `pow-unpow` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 32

Calls

3 calls:

3.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series131.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify139.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	291
1	249	265
2	805	265
3	3873	265
4	5001	265

prune129.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	8	42

Merged error: 60.3b

Counts

42 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 51

Calls

4 calls:

3.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series121.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify191.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	135	479
1	312	424
2	956	424
3	4680	420
4	5001	420

prune176.0ms

Filtered

63 candidates to 42 candidates (66.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 60.3b

Counts

71 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series228.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
115.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify85.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	66	488
1	98	434
2	180	434
3	439	430
4	2003	430
5	5002	430

prune258.0ms

Filtered

66 candidates to 48 candidates (72.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	65	9	74

Merged error: 60.3b

Counts

74 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

13.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	1946	212
5	5003	212

prune188.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	48	9	57

Merged error: 60.3b

Counts

57 → 9

regimes207.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16

end0.0ms

sample34.6s

Algorithm

intervals

Results

19.7s	7822×	body	5120	exit
6.1s	3192×	body	2560	valid
2.4s	2492×	body	1280	valid
2.3s	2895×	body	1280	nan
1.2s	2565×	body	640	nan
832.0ms	8806×	body	80	nan
712.0ms	1279×	body	640	valid
376.0ms	1235×	body	320	nan
252.0ms	644×	body	320	valid
129.0ms	621×	body	160	nan
76.0ms	292×	body	160	valid
18.0ms	7×	body	5120	nan
13.0ms	101×	body	80	valid
11.0ms	9×	body	2560	nan

Details

sample1.6s

simplify48.0ms

prune5.0ms

localize12.0ms

rewrite7.0ms

series131.0ms

simplify139.0ms

prune129.0ms

localize13.0ms

rewrite8.0ms

series121.0ms

simplify191.0ms

prune176.0ms

localize15.0ms

rewrite8.0ms

series228.0ms

simplify85.0ms

prune258.0ms

localize18.0ms

rewrite8.0ms

series7.0ms

simplify82.0ms

prune188.0ms

regimes207.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample34.6s

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