Details

sample391.0ms

Algorithm

intervals

Results

193.0ms	76×	body	10240	exit
122.0ms	76×	body	1280	valid
37.0ms	54×	body	640	valid
8.0ms	85×	body	80	valid
6.0ms	19×	body	320	valid
5.0ms	1×	body	5120	valid
4.0ms	20×	body	160	valid
2.0ms	1×	body	2560	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
done	8	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0b	(expm1 (sin (expm1 a)))
0.6b	(sin (expm1 a))
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite2.0ms

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

series67.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan2 (expm1 (sin (expm1 a))) (atan a))
1.0ms	(expm1 (sin (expm1 a)))
62.0ms	(sin (expm1 a))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify1.9s

Counts

40 → 40

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	35	339
1	39	339
2	44	293
3	55	293
4	70	293
5	120	293
6	235	293
7	716	293
8	2234	293
done	5000	293

prune168.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(sin (expm1 a))
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite2.0ms

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	(sin (expm1 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)

series68.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (expm1 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)

simplify1.8s

Counts

40 → 40

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	21	430
1	23	430
2	26	370
3	33	370
4	42	370
5	74	370
6	151	370
7	517	370
8	1593	370
done	5000	370

prune221.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.9b

localize20.0ms

Local error

Found 4 expressions with local error:

38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite2.0ms

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)

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	508
1	15	508
2	17	436
3	22	436
4	28	436
5	51	436
6	109	436
7	420	436
8	1284	436
done	5000	436

prune236.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 32.9b

localize23.0ms

Local error

Found 4 expressions with local error:

38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
38.7b	(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)

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	508
1	15	508
2	17	436
3	22	436
4	28	436
5	51	436
6	109	436
7	420	436
8	1284	436
done	5000	436

prune163.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 32.9b

regimes216.0ms

Accuracy

0% (1.5b remaining)

Error of 33.2b against oracle of 31.7b and baseline of 33.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	18	79
done	18	79

end0.0ms

sample12.6s

Algorithm

intervals

Results

6.7s	2627×	body	10240	exit
4.0s	2327×	body	1280	valid
1.1s	1618×	body	640	valid
279.0ms	2852×	body	80	valid
267.0ms	798×	body	320	valid
84.0ms	401×	body	160	valid
9.0ms	2×	body	5120	valid
4.0ms	2×	body	2560	valid