Details

sample313.0ms

Algorithm

intervals

Results

233.0ms	232×	body	10240	exit
29.0ms	65×	body	1280	valid
11.0ms	53×	body	640	valid
5.0ms	4×	body	2560	valid
5.0ms	99×	body	80	valid
4.0ms	168×	body	80	nan
3.0ms	25×	body	320	valid
1.0ms	10×	body	160	valid

simplify211.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize6.0ms

Local error

Found 1 expressions with local error:

36.5b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(fmod (cosh c) (log1p a))

simplify95.0ms

Counts

10 → 10

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	49
1	24	42
2	29	42
3	36	42
4	56	42
5	115	42
6	564	42
7	1838	42
8	5001	42
done	5001	42

prune30.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.7b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series28.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
22.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify79.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	55	234
1	81	206
2	103	200
3	150	194
4	295	194
5	724	194
6	2472	194
7	5001	194
done	5001	194

prune112.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 32.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

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))
0.0ms	(fmod (cosh c) (log1p a))

series28.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify186.0ms

Counts

45 → 45

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	35	241
1	48	206
2	62	206
3	76	206
4	120	206
5	247	206
6	1104	206
7	4889	206
8	5001	206
done	5001	206

prune169.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 32.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

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))
0.0ms	(fmod (cosh c) (log1p a))

series28.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify186.0ms

Counts

45 → 45

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	35	241
1	48	206
2	62	206
3	76	206
4	120	206
5	247	206
6	1104	206
7	4889	206
8	5001	206
done	5001	206

prune157.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 32.2b

regimes327.0ms

Accuracy

0% (0.0b remaining)

Error of 33.9b against oracle of 33.9b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	15	20
done	15	20

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7869×	body	10240	exit
994.0ms	2244×	body	1280	valid
345.0ms	1602×	body	640	valid
158.0ms	146×	body	2560	valid
148.0ms	5387×	body	80	nan
115.0ms	2808×	body	80	valid
98.0ms	783×	body	320	valid
38.0ms	411×	body	160	valid
10.0ms	6×	body	5120	valid