Details

sample1.0s

Algorithm

intervals

Results

400.0ms	230×	body	10240	exit
158.0ms	89×	body	2560	valid
60.0ms	83×	body	1280	valid
55.0ms	106×	body	1280	nan
21.0ms	55×	body	640	valid
18.0ms	66×	body	640	nan
14.0ms	277×	body	80	nan
7.0ms	40×	body	320	nan
4.0ms	14×	body	320	valid
3.0ms	24×	body	160	nan
2.0ms	8×	body	160	valid
1.0ms	7×	body	80	valid

simplify46.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.9b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 39

Calls

4 calls:

1.0ms	(log1p a)
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))

series127.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(log1p a)
115.0ms	(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))

simplify169.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	96	314
1	280	285
2	903	285
3	4508	285
4	5001	285

prune148.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.6b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(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))

series120.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(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))

simplify184.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (31.0ms)

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

prune175.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.1b

localize19.0ms

Local error

Found 4 expressions with local error:

8.6b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(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))

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))

simplify79.0ms

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

prune204.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.1b

localize21.0ms

Local error

Found 4 expressions with local error:

58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

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))

simplify57.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	196
1	40	168
2	92	168
3	228	168
4	1044	168
5	5001	168

prune199.0ms

Filtered

40 candidates to 32 candidates (80.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 58.1b

regimes153.0ms

Accuracy

93.1% (0.1b remaining)

Error of 58.7b against oracle of 58.6b and baseline of 60.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	50
1	31	50

end0.0ms

sample24.8s

Algorithm

intervals

Results

13.7s	7882×	body	10240	exit
5.1s	3205×	body	2560	valid
1.8s	2503×	body	1280	valid
1.5s	2918×	body	1280	nan
704.0ms	2538×	body	640	nan
495.0ms	1244×	body	640	valid
392.0ms	8809×	body	80	nan
212.0ms	1276×	body	320	nan
172.0ms	629×	body	320	valid
79.0ms	679×	body	160	nan
60.0ms	305×	body	160	valid
11.0ms	114×	body	80	valid
10.0ms	5×	body	5120	nan
6.0ms	6×	body	2560	nan