Details

sample360.0ms

Algorithm

intervals

Results

275.0ms	265×	body	10240	exit
30.0ms	65×	body	1280	valid
12.0ms	58×	body	640	valid
8.0ms	164×	body	80	nan
5.0ms	4×	body	2560	valid
4.0ms	93×	body	80	valid
3.0ms	21×	body	320	valid
1.0ms	15×	body	160	valid

simplify218.0ms

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: 33.2b

localize6.0ms

Local error

Found 1 expressions with local error:

37.8b

(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))

simplify98.0ms

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: 33.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.4b	(log (fmod (cosh c) (log1p a)))
37.8b	(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))

series30.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify81.0ms

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

prune103.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.2b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (fmod (cosh c) (log1p a)))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(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))

series29.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(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))

simplify190.0ms

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

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

prune181.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.2b

localize16.0ms

Local error

Found 4 expressions with local error:

37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p a))
37.8b	(fmod (cosh c) (log1p 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 (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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify98.0ms

Counts

40 → 40

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	196
1	24	168
2	29	168
3	36	168
4	56	168
5	115	168
6	564	168
7	1838	168
8	5001	168
done	5001	168

prune151.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.2b

regimes261.0ms

Accuracy

0% (0.0b remaining)

Error of 33.8b against oracle of 33.7b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5
done	8	5

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7890×	body	10240	exit
981.0ms	2216×	body	1280	valid
340.0ms	1581×	body	640	valid
152.0ms	141×	body	2560	valid
148.0ms	5250×	body	80	nan
119.0ms	2827×	body	80	valid
104.0ms	819×	body	320	valid
43.0ms	406×	body	160	valid
16.0ms	10×	body	5120	valid