Details

sample1.3s

Algorithm

intervals

Results

635.0ms	219×	body	10240	exit
268.0ms	97×	body	2560	valid
166.0ms	86×	body	1280	valid
45.0ms	487×	body	80	nan
27.0ms	38×	body	640	valid
12.0ms	25×	body	320	valid
2.0ms	8×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize17.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.8b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 15

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
14.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

21 → 21

Iterations

Iter	Nodes
done	5002
6	4031
5	804
4	300
3	171
2	101
1	52
0	29

prune167.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.7b

localize22.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.7b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `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)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series9.0ms

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))

simplify3.1s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
6	4802
5	985
4	386
3	234
2	148
1	84
0	51

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

localize84.0ms

Local error

Found 4 expressions with local error:

11.7b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1589
5	537
4	257
3	161
2	104
1	59
0	36

prune453.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize90.0ms

Local error

Found 4 expressions with local error:

60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh a) (* a a))
7.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify992.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
7	2715
6	888
5	355
4	168
3	97
2	55
1	27
0	14

prune380.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

regimes361.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample35.2s

Algorithm

intervals

Results

20.3s	8035×	body	10240	exit
8.0s	3238×	body	2560	valid
2.6s	2452×	body	1280	valid
1.7s	15861×	body	80	nan
733.0ms	1198×	body	640	valid
518.0ms	333×	body	160	valid
265.0ms	658×	body	320	valid
18.0ms	121×	body	80	valid
17.0ms	6×	body	5120	nan
6.0ms	5×	body	2560	nan
5.0ms	12×	body	640	nan
4.0ms	6×	body	1280	nan
3.0ms	10×	body	160	nan
2.0ms	7×	body	320	nan