Details

sample380.0ms

Algorithm

intervals

Results

298.0ms	289×	body	10240	exit
31.0ms	71×	body	1280	valid
11.0ms	51×	body	640	valid
7.0ms	6×	body	2560	valid
5.0ms	169×	body	80	nan
4.0ms	86×	body	80	valid
4.0ms	28×	body	320	valid
1.0ms	14×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize10.0ms

Local error

Found 1 expressions with local error:

39.6b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify2.3s

Counts

12 → 12

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	38	77
5	48	77
6	71	77
7	128	77
8	335	77
9	1258	77
done	5000	77

prune45.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 35.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify3.6s

Counts

78 → 78

Iterations

Useful iterations: 5 (1.8s)

Iter	Nodes	Cost
0	60	1030
1	96	646
2	209	572
3	501	545
4	984	521
5	4639	515
done	5001	515

prune161.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 35.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

1.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series24.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

49 → 49

Iterations

Useful iterations: 4 (35.0ms)

Iter	Nodes	Cost
0	44	426
1	61	385
2	75	339
3	94	339
4	135	333
5	213	333
6	416	333
7	1082	333
8	3837	333
done	5001	333

prune149.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 35.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 41

Calls

4 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

series25.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify2.9s

Counts

53 → 53

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	28	412
1	39	409
2	47	362
3	59	362
4	74	362
5	99	362
6	152	362
7	305	362
8	811	362
9	2929	362
done	5000	362

prune182.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 35.0b

regimes367.0ms

Accuracy

0% (0.0b remaining)

Error of 33.7b against oracle of 33.7b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	13	41
done	13	41

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.8s	7720×	body	10240	exit
1.0s	2288×	body	1280	valid
344.0ms	1555×	body	640	valid
152.0ms	5295×	body	80	nan
152.0ms	139×	body	2560	valid
125.0ms	2833×	body	80	valid
102.0ms	763×	body	320	valid
42.0ms	408×	body	160	valid
21.0ms	14×	body	5120	valid