Details

sample1.0s

Algorithm

intervals

Results

413.0ms	228×	body	10240	exit
167.0ms	100×	body	2560	valid
60.0ms	77×	body	1280	valid
38.0ms	69×	body	1280	nan
23.0ms	239×	body	80	nan
20.0ms	70×	body	640	nan
18.0ms	44×	body	640	valid
7.0ms	38×	body	320	nan
6.0ms	19×	body	320	valid
2.0ms	11×	body	160	valid
2.0ms	1×	body	5120	nan
2.0ms	16×	body	160	nan
1.0ms	5×	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	1268	6
6	5001	6

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 61.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(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×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

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))

series68.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(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))

simplify105.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	220	450
1	820	423
2	3547	413
3	5002	405

prune139.0ms

Filtered

47 candidates to 37 candidates (21.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	39	8	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	8	48

Merged error: 59.6b

Counts

48 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.8b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(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×	`add-exp-log` `exp-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`rem-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 60

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))

series52.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(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))

simplify104.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	265	654
1	902	598
2	3693	588
3	5001	580

prune213.0ms

Filtered

72 candidates to 54 candidates (25.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Merged error: 59.6b

Counts

80 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

9.3b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

29×	`log-pow`
27×	`exp-prod`
22×	`add-sqr-sqrt`
16×	`cbrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`log-prod`
2×	`rem-log-exp`
1×	`exp-to-pow` `*-commutative`

Counts

4 → 70

Calls

4 calls:

8.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series143.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	155	615
1	401	543
2	1565	507
3	5002	494

prune302.0ms

Filtered

82 candidates to 62 candidates (24.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Merged error: 59.5b

Counts

92 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(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))

simplify59.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	25	228
1	42	200
2	94	200
3	232	200
4	1059	200
5	5003	200

prune238.0ms

Filtered

48 candidates to 40 candidates (16.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	47	11	58

Merged error: 59.5b

Counts

58 → 11

regimes213.0ms

Accuracy

0% (0.3b remaining)

Error of 60.1b against oracle of 59.8b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	25	37

end0.0ms

sample24.9s

Algorithm

intervals

Results

13.9s	7981×	body	10240	exit
5.1s	3160×	body	2560	valid
1.8s	2494×	body	1280	valid
1.5s	2851×	body	1280	nan
682.0ms	2446×	body	640	nan
505.0ms	1282×	body	640	valid
386.0ms	8778×	body	80	nan
213.0ms	1274×	body	320	nan
171.0ms	617×	body	320	valid
72.0ms	637×	body	160	nan
65.0ms	325×	body	160	valid
17.0ms	8×	body	5120	nan
12.0ms	122×	body	80	valid
7.0ms	8×	body	2560	nan