Details

sample1.0s

Algorithm

intervals

Results

444.0ms	250×	body	10240	exit
156.0ms	97×	body	2560	valid
56.0ms	79×	body	1280	valid
45.0ms	87×	body	1280	nan
21.0ms	72×	body	640	nan
20.0ms	47×	body	640	valid
13.0ms	278×	body	80	nan
6.0ms	23×	body	320	valid
6.0ms	35×	body	320	nan
2.0ms	8×	body	160	valid
1.0ms	12×	body	160	nan
0.0ms	2×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

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))

series132.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(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))

simplify138.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	291
1	249	265
2	805	265
3	3873	265
4	5001	265

prune127.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(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))

series118.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(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))

simplify187.0ms

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

prune201.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.3b

localize16.0ms

Local error

Found 4 expressions with local error:

12.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))
60.4b	(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))

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

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 60.3b

localize20.0ms

Local error

Found 4 expressions with local error:

12.9b	(log (exp (fmod (cosh a) (* a a))))
60.4b	(fmod (cosh a) (* a a))
60.4b	(fmod (cosh a) (* a a))
60.4b	(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))

simplify80.0ms

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

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.3b

regimes187.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	13	27

end0.0ms

sample24.9s

Algorithm

intervals

Results

13.8s	7889×	body	10240	exit
5.1s	3208×	body	2560	valid
1.8s	2482×	body	1280	valid
1.5s	2869×	body	1280	nan
708.0ms	2550×	body	640	nan
492.0ms	1264×	body	640	valid
398.0ms	8658×	body	80	nan
209.0ms	1237×	body	320	nan
170.0ms	627×	body	320	valid
74.0ms	646×	body	160	nan
60.0ms	308×	body	160	valid
15.0ms	7×	body	5120	nan
11.0ms	111×	body	80	valid
7.0ms	8×	body	2560	nan