Details

sample785.0ms

Algorithm

intervals

Results

527.0ms	267×	body	10240	exit
124.0ms	82×	body	1280	valid
47.0ms	171×	body	80	nan
12.0ms	33×	body	640	valid
10.0ms	97×	body	80	valid
4.0ms	3×	body	2560	valid
4.0ms	21×	body	320	valid
3.0ms	19×	body	160	valid
2.0ms	1×	body	5120	valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize16.0ms

Local error

Found 1 expressions with local error:

36.5b

(fmod (cosh c) (log1p a))

rewrite3.0ms

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:

1.0ms

(fmod (cosh c) (log1p a))

series12.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(fmod (cosh c) (log1p a))

simplify2.5s

Counts

12 → 12

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	38	77
5	48	77
6	69	77
7	147	77
8	440	77
9	1834	77
done	5000	77

prune91.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))

rewrite8.0ms

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

series45.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
35.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

49 → 49

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	44	426
1	60	385
2	74	339
3	93	339
4	134	333
5	218	333
6	426	333
7	1209	333
8	4524	333
done	5001	333

prune243.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 32.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow E (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
36.5b	(fmod (cosh c) (log1p a))

rewrite11.0ms

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:

4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
6.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series97.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(pow E (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

56 → 56

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	59	557
1	108	522
2	208	446
3	512	446
4	1617	444
done	5001	432

prune265.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.3b

localize41.0ms

Local error

Found 4 expressions with local error:

1.5b	(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))

rewrite6.0ms

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:

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify5.1s

Counts

53 → 53

Iterations

Useful iterations: 2 (23.0ms)

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	321	362
8	1037	362
9	4387	362
done	5001	362

prune271.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 32.3b

regimes358.0ms

Accuracy

0% (0.0b remaining)

Error of 34.1b against oracle of 34.1b and baseline of 34.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	25
1	14	25
2	16	25
done	16	25

end0.0ms

sample19.3s

Algorithm

intervals

Results

13.1s	7778×	body	10240	exit
3.0s	2325×	body	1280	valid
607.0ms	1509×	body	640	valid
586.0ms	5252×	body	80	nan
403.0ms	2774×	body	80	valid
270.0ms	162×	body	2560	valid
181.0ms	775×	body	320	valid
129.0ms	446×	body	160	valid
21.0ms	9×	body	5120	valid