Details

sample1.4s

Algorithm

intervals

Results

661.0ms	269×	body	5120	exit
176.0ms	96×	body	2560	valid
75.0ms	108×	body	1280	nan
69.0ms	82×	body	1280	valid
40.0ms	258×	body	80	nan
29.0ms	72×	body	640	nan
18.0ms	36×	body	640	valid
9.0ms	27×	body	320	valid
9.0ms	36×	body	320	nan
6.0ms	17×	body	160	nan
3.0ms	11×	body	160	valid
0.0ms	4×	body	80	valid

simplify49.0ms

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

prune11.0ms

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: 61.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite8.0ms

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

series127.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(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

prune130.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Merged error: 59.5b

Counts

42 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fmod (cosh a) (* a a)))
1.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.7b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

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

series36.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(exp (fmod (cosh a) (* a 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))

simplify128.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	80	339
1	125	292
2	248	292
3	665	292
4	3272	292
5	5002	292

prune162.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	52	7	59

Merged error: 59.5b

Counts

59 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.5b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(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))

series227.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
112.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify91.0ms

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

prune250.0ms

Filtered

66 candidates to 48 candidates (72.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 59.5b

Counts

73 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (sqrt (sqrt (exp (fmod (cosh a) (* a a))))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-pow1`
9×	`log-prod` `sqrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
7×	`pow1`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`exp-prod`
2×	`pow1/2`
1×	`rem-log-exp`

Counts

4 → 46

Calls

4 calls:

4.0ms	(log (sqrt (sqrt (exp (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))

series222.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(log (sqrt (sqrt (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))

simplify89.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	79	419
1	108	375
2	190	375
3	455	370
4	2078	370
5	5001	370

prune219.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	10	66

Merged error: 59.4b

Counts

66 → 10

regimes230.0ms

Accuracy

0% (0.5b remaining)

Error of 60.4b against oracle of 59.9b and baseline of 60.4b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	15	25

end0.0ms

sample32.0s

Algorithm

intervals

Results

18.4s	7737×	body	5120	exit
5.7s	3178×	body	2560	valid
2.1s	2486×	body	1280	valid
2.1s	3037×	body	1280	nan
989.0ms	2522×	body	640	nan
680.0ms	8800×	body	80	nan
632.0ms	1272×	body	640	valid
322.0ms	1289×	body	320	nan
217.0ms	641×	body	320	valid
113.0ms	679×	body	160	nan
72.0ms	320×	body	160	valid
20.0ms	8×	body	5120	nan
11.0ms	103×	body	80	valid
8.0ms	7×	body	2560	nan

Details

sample1.4s

simplify49.0ms

prune11.0ms

localize13.0ms

rewrite8.0ms

series127.0ms

simplify139.0ms

prune130.0ms

localize13.0ms

rewrite6.0ms

series36.0ms

simplify128.0ms

prune162.0ms

localize14.0ms

rewrite8.0ms

series227.0ms

simplify91.0ms

prune250.0ms

localize18.0ms

rewrite7.0ms

series222.0ms

simplify89.0ms

prune219.0ms

regimes230.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample32.0s

Profiling