Details

sample403.0ms

Algorithm

intervals

Results

216.0ms	86×	body	10240	exit
108.0ms	62×	body	1280	valid
41.0ms	62×	body	640	valid
9.0ms	93×	body	80	valid
8.0ms	24×	body	320	valid
5.0ms	1×	body	5120	valid
3.0ms	14×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
done	8	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan2 (expm1 (sin (expm1 a))) (atan a))
0.0b	(expm1 (sin (expm1 a)))
0.3b	(sin (expm1 a))
37.1b	(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)))
61.0ms	(sin (expm1 a))
2.0ms	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)

simplify3.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	35	339
1	39	339
2	44	293
3	55	293
4	70	293
5	101	293
6	176	293
7	397	293
8	1211	293
9	4879	293
done	5000	293

prune163.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(sin (expm1 a))
37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(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)

series67.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(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)

simplify2.6s

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	59	370
6	98	370
7	214	370
8	618	370
9	2436	370
done	5001	370

prune220.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.2b

localize22.0ms

Local error

Found 4 expressions with local error:

37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(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)

series9.0ms

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)

simplify2.4s

Counts

40 → 40

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	508
1	15	508
2	17	436
3	22	436
4	28	436
5	38	436
6	59	436
7	119	436
8	326	436
9	1245	436
done	5000	436

prune234.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.2b

localize23.0ms

Local error

Found 4 expressions with local error:

37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a)
37.1b	(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)

series9.0ms

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)

simplify2.4s

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	38	436
6	59	436
7	119	436
8	326	436
9	1245	436
done	5000	436

prune167.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 31.2b

regimes203.0ms

Accuracy

0% (1.5b remaining)

Error of 33.0b against oracle of 31.6b and baseline of 33.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	102
1	16	102
done	16	102

end0.0ms

sample12.3s

Algorithm

intervals

Results

6.6s	2645×	body	10240	exit
3.7s	2236×	body	1280	valid
1.1s	1665×	body	640	valid
273.0ms	2870×	body	80	valid
258.0ms	815×	body	320	valid
84.0ms	410×	body	160	valid
9.0ms	2×	body	5120	valid
4.0ms	2×	body	2560	valid