Details

sample1.3s

Algorithm

intervals

Results

641.0ms	255×	body	5120	exit
170.0ms	90×	body	2560	valid
81.0ms	90×	body	1280	valid
66.0ms	87×	body	1280	nan
39.0ms	85×	body	640	nan
24.0ms	289×	body	80	nan
18.0ms	34×	body	640	valid
10.0ms	33×	body	320	nan
7.0ms	20×	body	320	valid
4.0ms	17×	body	160	valid
3.0ms	15×	body	160	nan
3.0ms	1×	body	5120	nan
1.0ms	1×	body	2560	nan
1.0ms	5×	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	5002	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: 60.2b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

2.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify87.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	166
1	76	146
2	160	146
3	411	146
4	2000	146
5	5001	146

prune89.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 58.9b

Counts

26 → 5

localize16.0ms

Local error

Found 3 expressions with local error:

2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.8b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

Calls

3 calls:

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))

series7.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify111.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260

prune151.0ms

Filtered

45 candidates to 33 candidates (73.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	41	9	50

Merged error: 58.8b

Counts

50 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

13.8b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 44

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

series8.0ms

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))

simplify86.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	278
1	79	244
2	161	244
3	412	244
4	1977	244
5	5001	244

prune258.0ms

Filtered

56 candidates to 42 candidates (75.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	56	9	65

Merged error: 58.8b

Counts

65 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.8b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(fmod (cosh a) (* a 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` `log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`rem-log-exp`
1×	`acos-asin`

Counts

4 → 50

Calls

4 calls:

1.0ms	(log (acos (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))

series81.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(log (acos (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))

simplify123.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 5 (118.0ms)

Iter	Nodes	Cost
0	94	499
1	137	429
2	264	429
3	672	429
4	3314	429
5	5001	427

prune196.0ms

Filtered

62 candidates to 47 candidates (75.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	61	10	71

Merged error: 58.8b

Counts

71 → 10

regimes224.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	15	33

end0.0ms

sample33.0s

Algorithm

intervals

Results

19.2s	7984×	body	5120	exit
5.8s	3215×	body	2560	valid
2.2s	2487×	body	1280	valid
2.1s	2940×	body	1280	nan
1.0s	2546×	body	640	nan
708.0ms	8832×	body	80	nan
612.0ms	1224×	body	640	valid
313.0ms	1202×	body	320	nan
215.0ms	627×	body	320	valid
113.0ms	650×	body	160	nan
75.0ms	325×	body	160	valid
20.0ms	8×	body	5120	nan
14.0ms	122×	body	80	valid
13.0ms	11×	body	2560	nan

Details

sample1.3s

simplify49.0ms

prune5.0ms

localize12.0ms

rewrite4.0ms

series13.0ms

simplify87.0ms

prune89.0ms

localize16.0ms

rewrite5.0ms

series7.0ms

simplify111.0ms

prune151.0ms

localize17.0ms

rewrite5.0ms

series8.0ms

simplify86.0ms

prune258.0ms

localize16.0ms

rewrite6.0ms

series81.0ms

simplify123.0ms

prune196.0ms

regimes224.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample33.0s

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