Details

sample416.0ms

Algorithm

intervals

Results

224.0ms	87×	body	10240	exit
116.0ms	69×	body	1280	valid
41.0ms	59×	body	640	valid
10.0ms	27×	body	320	valid
9.0ms	86×	body	80	valid
4.0ms	15×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sin (expm1 a))
0.0b	(expm1 (sin (expm1 a)))
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

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`

Counts

3 → 21

Calls

3 calls:

2.0ms	(sin (expm1 a))
0.0ms	(expm1 (sin (expm1 a)))
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series55.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(sin (expm1 a))
1.0ms	(expm1 (sin (expm1 a)))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify109.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	173
1	35	148
2	43	148
3	54	148
4	91	148
5	185	148
6	781	148
7	2680	148
8	5001	148

prune125.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 33.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 32

Calls

4 calls:

1.0ms	(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series119.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify246.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	34	413
1	63	335
2	140	333
3	584	333
4	4641	333
5	5001	333

prune195.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 33.3b

localize26.0ms

Local error

Found 4 expressions with local error:

39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan 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 (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify93.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	352
1	17	300
2	21	300
3	26	300
4	45	300
5	99	300
6	505	300
7	1672	300
8	5001	300

prune211.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 33.3b

localize27.0ms

Local error

Found 4 expressions with local error:

39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
39.4b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan 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 (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify93.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	352
1	17	300
2	21	300
3	26	300
4	45	300
5	99	300
6	505	300
7	1672	300
8	5001	300

prune175.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 33.3b

regimes296.0ms

Accuracy

0% (0.8b remaining)

Error of 33.8b against oracle of 33.0b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7

end0.0ms

sample13.0s

Algorithm

intervals

Results

6.8s	2619×	body	10240	exit
4.0s	2281×	body	1280	valid
1.2s	1689×	body	640	valid
311.0ms	2747×	body	80	valid
297.0ms	842×	body	320	valid
100.0ms	435×	body	160	valid
10.0ms	2×	body	5120	valid
8.0ms	4×	body	2560	valid