Details

sample2.8s

Algorithm

intervals

Results

1.2s	66×	body	1280	valid
790.0ms	99×	body	10240	exit
112.0ms	62×	body	640	valid
54.0ms	99×	body	80	valid
28.0ms	17×	body	320	valid
6.0ms	12×	body	160	valid

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	8	10
done	8	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize472.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 a)
0.0b	(expm1 (sin (expm1 a)))
0.5b	(sin (expm1 a))
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite17.0ms

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	(expm1 a)
1.0ms	(expm1 (sin (expm1 a)))
6.0ms	(sin (expm1 a))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series191.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(expm1 a)
4.0ms	(expm1 (sin (expm1 a)))
163.0ms	(sin (expm1 a))
21.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify5.8s

Counts

40 → 40

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	35	274
1	39	274
2	44	238
3	55	238
4	84	238
5	217	238
6	519	238
7	1209	238
8	4017	238
done	5001	238

prune559.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.7b

localize78.0ms

Local error

Found 4 expressions with local error:

0.5b	(sin (expm1 a))
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite10.0ms

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:

7.0ms	(sin (expm1 a))
1.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
0.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series303.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(sin (expm1 a))
127.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
7.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
7.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify3.9s

Counts

40 → 40

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	21	430
1	23	430
2	26	370
3	33	370
4	48	370
5	115	370
6	275	370
7	652	370
8	2140	370
done	5001	370

prune541.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 30.5b

localize189.0ms

Local error

Found 4 expressions with local error:

35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite17.0ms

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	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
1.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
4.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
6.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
6.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
10.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify4.1s

Counts

40 → 40

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	14	508
1	15	508
2	17	436
3	22	436
4	30	436
5	64	436
6	149	436
7	330	436
8	1065	436
done	5000	436

prune579.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 30.5b

localize84.0ms

Local error

Found 4 expressions with local error:

35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
35.9b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

rewrite3.0ms

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

series208.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
6.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
6.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
6.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify4.9s

Counts

40 → 40

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	14	508
1	15	508
2	17	436
3	22	436
4	30	436
5	64	436
6	149	436
7	330	436
8	1065	436
done	5000	436

prune627.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 30.5b

regimes1.1s

Accuracy

0% (1.0b remaining)

Error of 33.5b against oracle of 32.5b and baseline of 33.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
done	8	10

end0.0ms

sample58.1s

Algorithm

intervals

Results

29.1s	2650×	body	10240	exit
17.7s	2305×	body	1280	valid
7.3s	1602×	body	640	valid
1.3s	850×	body	320	valid
965.0ms	2781×	body	80	valid
326.0ms	458×	body	160	valid
33.0ms	2×	body	5120	valid
11.0ms	2×	body	2560	valid