Details

sample1.4s

Algorithm

intervals

Results

663.0ms	255×	body	5120	exit
174.0ms	90×	body	2560	valid
84.0ms	90×	body	1280	valid
67.0ms	87×	body	1280	nan
42.0ms	85×	body	640	nan
26.0ms	289×	body	80	nan
19.0ms	34×	body	640	valid
10.0ms	33×	body	320	nan
8.0ms	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

simplify50.0ms

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: 60.2b

Counts

2 → 1

localize13.0ms

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` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

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))

simplify86.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	144
1	72	124
2	156	124
3	405	124
4	1968	124
5	5002	124

prune74.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 58.9b

Counts

22 → 5

localize14.0ms

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` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

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))

series11.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(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

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	265
1	107	226
2	221	226
3	590	226
4	2934	226
5	5002	226

prune125.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	35	9	44

Merged error: 58.8b

Counts

44 → 9

localize21.0ms

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))

rewrite6.0ms

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))
1.0ms	(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))

simplify85.0ms

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

prune212.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	48	9	57

Merged error: 58.8b

Counts

57 → 9

localize17.0ms

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×	`add-cbrt-cube` `add-log-exp`
3×	`exp-prod`
2×	`rem-log-exp`
1×	`acos-asin`

Counts

4 → 42

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))

simplify125.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 5 (120.0ms)

Iter	Nodes	Cost
0	86	445
1	129	375
2	256	375
3	660	375
4	3261	375
5	5001	373

prune155.0ms

Filtered

54 candidates to 39 candidates (72.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	53	10	63

Merged error: 58.8b

Counts

63 → 10

regimes219.0ms

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

sample34.1s

Algorithm

intervals

Results

19.7s	7984×	body	5120	exit
6.0s	3215×	body	2560	valid
2.3s	2487×	body	1280	valid
2.1s	2940×	body	1280	nan
1.1s	2546×	body	640	nan
765.0ms	8832×	body	80	nan
648.0ms	1224×	body	640	valid
334.0ms	1202×	body	320	nan
229.0ms	627×	body	320	valid
130.0ms	650×	body	160	nan
80.0ms	325×	body	160	valid
21.0ms	8×	body	5120	nan
15.0ms	122×	body	80	valid
13.0ms	11×	body	2560	nan

Details

sample1.4s

simplify50.0ms

prune5.0ms

localize13.0ms

rewrite4.0ms

series13.0ms

simplify86.0ms

prune74.0ms

localize14.0ms

rewrite5.0ms

series11.0ms

simplify111.0ms

prune125.0ms

localize21.0ms

rewrite6.0ms

series7.0ms

simplify85.0ms

prune212.0ms

localize17.0ms

rewrite6.0ms

series81.0ms

simplify125.0ms

prune155.0ms

regimes219.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample34.1s

Profiling