Details

sample1.6s

Algorithm

intervals

Results

877.0ms	259×	body	10240	exit
305.0ms	104×	body	2560	valid
130.0ms	82×	body	1280	valid
95.0ms	47×	body	640	valid
79.0ms	540×	body	80	nan
39.0ms	14×	body	320	valid
4.0ms	1×	body	5120	nan
1.0ms	4×	body	160	valid
1.0ms	1×	body	2560	nan
1.0ms	5×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5041
7	3478
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize36.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`acos-asin`

Counts

2 → 17

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify3.0s

Counts

23 → 23

Iterations

Iter	Nodes
done	5004
7	3117
6	1070
5	408
4	202
3	117
2	77
1	54
0	31

prune158.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.4b

localize52.0ms

Local error

Found 3 expressions with local error:

0.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.6b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite9.0ms

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` `insert-posit16` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 33

Calls

3 calls:

3.0ms	(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))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(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))

simplify2.5s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
6	1688
5	583
4	288
3	173
2	118
1	85
0	54

prune229.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.4b

localize51.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite6.0ms

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` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 40

Calls

4 calls:

4.0ms	(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))

series12.0ms

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))

simplify2.6s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune414.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.3b

localize66.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (exp (fmod (cosh a) (* a a))))
6.6b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune484.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.3b

regimes391.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.2b and baseline of 59.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample46.0s

Algorithm

intervals

Results

27.4s	7988×	body	10240	exit
9.4s	3166×	body	2560	valid
3.9s	2525×	body	1280	valid
2.6s	15903×	body	80	nan
1.2s	1252×	body	640	valid
474.0ms	631×	body	320	valid
149.0ms	319×	body	160	valid
57.0ms	9×	body	5120	nan
27.0ms	107×	body	80	valid
15.0ms	7×	body	2560	nan
9.0ms	7×	body	1280	nan
4.0ms	10×	body	160	nan
4.0ms	4×	body	640	nan
3.0ms	5×	body	320	nan