Details

sample1.0s

Algorithm

intervals

Results

469.0ms	260×	body	10240	exit
153.0ms	95×	body	2560	valid
65.0ms	89×	body	1280	valid
25.0ms	526×	body	80	nan
23.0ms	40×	body	640	valid
6.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	1280	nan
0.0ms	4×	body	80	valid
0.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan

simplify48.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p a)
2.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

3 → 22

Calls

3 calls:

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

series14.0ms

Counts

3 → 9

Calls

3 calls:

1.0ms	(log1p a)
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify86.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	167
1	81	144
2	167	144
3	419	144
4	1992	144
5	5001	144

prune143.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 58.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p a)
2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.7b	(log (exp (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` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`acos-asin` `rem-log-exp`

Counts

4 → 37

Calls

4 calls:

0.0ms	(log1p a)
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(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))

simplify108.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	81	288
1	116	246
2	232	246
3	604	246
4	2958	246
5	5003	246

prune229.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.6b

localize18.0ms

Local error

Found 4 expressions with local error:

12.7b	(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))

rewrite4.0ms

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:

3.0ms	(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))

simplify81.0ms

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

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.6b

localize16.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.2b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))

rewrite9.0ms

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)))))
4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series217.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
110.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify83.0ms

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

prune418.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 58.6b

regimes317.0ms

Accuracy

92.1% (0.1b remaining)

Error of 58.7b against oracle of 58.6b and baseline of 60.3b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	43
1	22	43

end0.0ms

sample23.1s

Algorithm

intervals

Results

13.9s	7826×	body	10240	exit
5.1s	3160×	body	2560	valid
1.9s	2522×	body	1280	valid
759.0ms	15898×	body	80	nan
524.0ms	1263×	body	640	valid
187.0ms	652×	body	320	valid
58.0ms	286×	body	160	valid
12.0ms	117×	body	80	valid
9.0ms	9×	body	2560	nan
8.0ms	4×	body	5120	nan
4.0ms	12×	body	640	nan
2.0ms	4×	body	1280	nan
1.0ms	5×	body	320	nan
1.0ms	7×	body	160	nan