Details

sample1.1s

Algorithm

intervals

Results

608.0ms	233×	body	10240	exit
214.0ms	96×	body	2560	valid
87.0ms	80×	body	1280	valid
84.0ms	492×	body	80	nan
20.0ms	36×	body	640	valid
9.0ms	22×	body	320	valid
5.0ms	18×	body	160	valid
1.0ms	1×	body	2560	nan
1.0ms	1×	body	320	nan
0.0ms	4×	body	80	valid
0.0ms	1×	body	640	nan

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	91	10
5	373	10
6	3269	10
done	5001	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize27.0ms

Local error

Found 2 expressions with local error:

2.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify3.1s

Counts

21 → 21

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	29	241
1	52	241
2	101	209
3	172	209
4	301	209
5	807	209
6	3981	209
done	5000	209

prune121.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.2b

localize34.0ms

Local error

Found 3 expressions with local error:

2.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.0b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series10.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

39 → 39

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	51	463
1	83	410
2	148	359
3	235	359
4	387	359
5	984	359
6	4616	359
done	5001	359

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.2b

localize38.0ms

Local error

Found 4 expressions with local error:

2.5b	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
59.3b	(fmod (cosh a) (pow a 2))
59.3b	(fmod (cosh a) (pow a 2))
59.3b	(fmod (cosh a) (pow a 2))

rewrite5.0ms

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`
1×	`acos-asin`

Counts

4 → 29

Calls

4 calls:

2.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
1.0ms	(fmod (cosh a) (pow a 2))
1.0ms	(fmod (cosh a) (pow a 2))
1.0ms	(fmod (cosh a) (pow a 2))

series22.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
4.0ms	(fmod (cosh a) (pow a 2))
5.0ms	(fmod (cosh a) (pow a 2))
6.0ms	(fmod (cosh a) (pow a 2))

simplify3.8s

Counts

41 → 41

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	25	417
1	40	417
2	65	361
3	123	361
4	246	361
5	745	361
6	3904	361
done	5001	361

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.2b

localize16.0ms

Local error

Found 3 expressions with local error:

1.5b	(log (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))
2.5b	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
59.3b	(fmod (cosh a) (pow a 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 31

Calls

3 calls:

7.0ms	(log (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))
1.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
0.0ms	(fmod (cosh a) (pow a 2))

series20.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(log (exp (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))
7.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
5.0ms	(fmod (cosh a) (pow a 2))

simplify3.3s

Counts

40 → 40

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	51	550
1	77	515
2	113	452
3	187	452
4	355	452
5	969	452
6	4926	452
done	5001	452

prune162.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.2b

regimes83.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 60.0b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample34.1s

Algorithm

intervals

Results

19.6s	7823×	body	10240	exit
7.6s	3121×	body	2560	valid
2.9s	2551×	body	1280	valid
1.4s	1286×	body	640	valid
1.2s	16168×	body	80	nan
247.0ms	613×	body	320	valid
96.0ms	335×	body	160	valid
19.0ms	6×	body	5120	nan
14.0ms	94×	body	80	valid
7.0ms	6×	body	2560	nan
4.0ms	5×	body	1280	nan
3.0ms	5×	body	640	nan
2.0ms	6×	body	320	nan
2.0ms	7×	body	160	nan