Details

sample383.0ms

Algorithm

intervals

Results

297.0ms	289×	body	10240	exit
31.0ms	71×	body	1280	valid
15.0ms	51×	body	640	valid
6.0ms	6×	body	2560	valid
6.0ms	169×	body	80	nan
4.0ms	86×	body	80	valid
4.0ms	28×	body	320	valid
1.0ms	14×	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: 35.1b

localize6.0ms

Local error

Found 1 expressions with local error:

39.6b

(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))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify2.3s

Counts

10 → 10

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	36	65
5	46	65
6	67	65
7	124	65
8	324	65
9	1244	65
done	5001	65

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 63

Calls

3 calls:

7.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify3.6s

Counts

72 → 72

Iterations

Useful iterations: 5 (1.9s)

Iter	Nodes	Cost
0	56	978
1	92	610
2	201	536
3	490	509
4	986	485
5	4633	479
done	5000	479

prune138.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 35.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
39.6b	(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×	`exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 34

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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(exp (log (fmod (cosh c) (log1p a))))
19.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 4 (28.0ms)

Iter	Nodes	Cost
0	38	384
1	55	347
2	69	301
3	87	301
4	127	295
5	205	295
6	412	295
7	1100	295
8	3819	295
done	5001	295

prune137.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 35.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (fmod (cosh c) (log1p a)))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(fmod (cosh c) (log1p a))
39.6b	(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))

series25.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify2.7s

Counts

45 → 45

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	24	362
1	35	359
2	43	312
3	55	312
4	69	312
5	93	312
6	148	312
7	295	312
8	800	312
9	2929	312
done	5000	312

prune147.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 35.0b

regimes352.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	13	41
done	13	41

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7720×	body	10240	exit
1.0s	2288×	body	1280	valid
339.0ms	1555×	body	640	valid
153.0ms	139×	body	2560	valid
150.0ms	5295×	body	80	nan
116.0ms	2833×	body	80	valid
102.0ms	763×	body	320	valid
39.0ms	408×	body	160	valid
20.0ms	14×	body	5120	valid