Details

sample365.0ms

Algorithm

intervals

Results

280.0ms	265×	body	10240	exit
31.0ms	65×	body	1280	valid
12.0ms	58×	body	640	valid
5.0ms	4×	body	2560	valid
5.0ms	164×	body	80	nan
4.0ms	93×	body	80	valid
3.0ms	21×	body	320	valid
1.0ms	15×	body	160	valid

simplify220.0ms

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	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3
done	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize10.0ms

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` `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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(fmod (cosh c) (log1p a))

simplify97.0ms

Counts

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50
done	5001	50

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.2b

localize9.0ms

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×	`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:

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

series29.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify82.0ms

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220
done	5002	220

prune127.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 33.2b

localize14.0ms

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))

rewrite3.0ms

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

series29.0ms

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))

simplify194.0ms

Counts

53 → 53

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	275
1	52	240
2	66	240
3	81	240
4	126	240
5	254	240
6	1131	240
7	4993	240
8	5001	240
done	5001	240

prune216.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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

48 → 48

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	228
1	26	200
2	31	200
3	38	200
4	58	200
5	117	200
6	567	200
7	1852	200
8	5001	200
done	5001	200

prune190.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.2b

regimes257.0ms

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

sample10.7s

Algorithm

intervals

Results

8.1s	7890×	body	10240	exit
1.0s	2216×	body	1280	valid
351.0ms	1581×	body	640	valid
161.0ms	5250×	body	80	nan
153.0ms	141×	body	2560	valid
122.0ms	2827×	body	80	valid
112.0ms	819×	body	320	valid
40.0ms	406×	body	160	valid
17.0ms	10×	body	5120	valid