Details

sample345.0ms

Algorithm

intervals

Results

262.0ms	255×	body	10240	exit
31.0ms	70×	body	1280	valid
12.0ms	54×	body	640	valid
6.0ms	197×	body	80	nan
4.0ms	89×	body	80	valid
4.0ms	4×	body	2560	valid
3.0ms	25×	body	320	valid
2.0ms	1×	body	5120	valid
1.0ms	13×	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: 33.7b

localize10.0ms

Local error

Found 1 expressions with local error:

38.0b

(fmod (cosh c) (log1p a))

rewrite1.0ms

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))

simplify2.5s

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

prune43.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.7b	(log (fmod (cosh c) (log1p a)))
38.0b	(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))

simplify3.3s

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	425	333
7	1100	333
8	3917	333
done	5000	333

prune144.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 33.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.7b	(log (fmod (cosh c) (log1p a)))
38.0b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

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

series68.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(pow E (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 4 (401.0ms)

Iter	Nodes	Cost
0	59	557
1	109	522
2	220	446
3	506	446
4	1536	444
done	5000	444

prune168.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 33.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.7b	(log (fmod (cosh c) (log1p a)))
38.0b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow-unpow`
14×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `unpow-prod-down`
8×	`cube-prod`
7×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `pow-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`e-exp-1` `rem-log-exp` `rem-cube-cbrt`

Counts

4 → 84

Calls

4 calls:

2.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
3.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series102.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
47.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))

simplify3.1s

Counts

96 → 96

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	100	1104
1	203	884
2	501	768
3	3020	768
done	5001	768

prune236.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 33.6b

regimes385.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	18	22
2	20	22
done	20	22

end0.0ms

sample10.6s

Algorithm

intervals

Results

8.1s	7837×	body	10240	exit
1.0s	2256×	body	1280	valid
349.0ms	1578×	body	640	valid
159.0ms	5339×	body	80	nan
154.0ms	146×	body	2560	valid
121.0ms	2848×	body	80	valid
102.0ms	772×	body	320	valid
40.0ms	387×	body	160	valid
20.0ms	13×	body	5120	valid