Details

sample1.0s

Algorithm

intervals

Results

505.0ms	286×	body	10240	exit
144.0ms	92×	body	2560	valid
64.0ms	87×	body	1280	valid
25.0ms	550×	body	80	nan
14.0ms	35×	body	640	valid
7.0ms	26×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	3×	body	80	valid

simplify45.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p 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` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
1×	`acos-asin` `pow-to-exp` `cosh-def` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 40

Calls

4 calls:

0.0ms	(cosh a)
2.0ms	(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))

series173.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cosh a)
116.0ms	(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))

simplify55.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	140	331
1	420	302
2	1559	292
3	5002	292

prune171.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.6b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(fmod (cosh a) (* a a))

rewrite5.0ms

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:

2.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
0.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series115.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(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))

simplify191.0ms

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

prune211.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.6b

localize18.0ms

Local error

Found 4 expressions with local error:

8.6b	(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))

rewrite3.0ms

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:

1.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(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))

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

prune249.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.6b

localize25.0ms

Local error

Found 4 expressions with local error:

59.3b	(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))

rewrite1.0ms

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:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(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))

simplify62.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

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

prune267.0ms

Filtered

40 candidates to 32 candidates (80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.6b

regimes183.0ms

Accuracy

0% (0.5b 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	19	37
1	19	37

end0.0ms

sample22.6s

Algorithm

intervals

Results

13.8s	7968×	body	10240	exit
4.9s	3109×	body	2560	valid
1.8s	2530×	body	1280	valid
694.0ms	16010×	body	80	nan
498.0ms	1255×	body	640	valid
176.0ms	644×	body	320	valid
67.0ms	350×	body	160	valid
21.0ms	10×	body	5120	nan
11.0ms	112×	body	80	valid
5.0ms	10×	body	1280	nan
4.0ms	4×	body	2560	nan
3.0ms	8×	body	640	nan
2.0ms	12×	body	160	nan
1.0ms	6×	body	320	nan