Details

sample2.1s

Algorithm

intervals

Results

964.0ms	229×	body	10240	exit
313.0ms	98×	body	2560	valid
281.0ms	521×	body	80	nan
249.0ms	77×	body	1280	valid
64.0ms	36×	body	640	valid
21.0ms	24×	body	320	valid
10.0ms	19×	body	160	valid
1.0ms	1×	body	320	nan
1.0ms	1×	body	1280	nan
1.0ms	2×	body	80	valid
0.0ms	1×	body	160	nan

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: 60.2b

localize19.0ms

Local error

Found 2 expressions with local error:

2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

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:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
13.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

23 → 23

Iterations

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

prune165.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.9b

localize26.0ms

Local error

Found 3 expressions with local error:

2.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.6b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(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` `insert-posit16` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 33

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify2.3s

Counts

42 → 42

Iterations

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

prune208.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.9b

localize44.0ms

Local error

Found 4 expressions with local error:

11.6b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.7s

Counts

52 → 52

Iterations

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

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.9b

localize58.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(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` `insert-posit16` `add-log-exp`

Counts

4 → 32

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))

series14.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh a) (* a a))
8.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

44 → 44

Iterations

Iter	Nodes
done	5014
9	3821
8	1276
7	568
6	304
5	159
4	98
3	62
2	43
1	28
0	15

prune374.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 58.9b

regimes410.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample45.0s

Algorithm

intervals

Results

25.3s	7720×	body	10240	exit
9.4s	3190×	body	2560	valid
4.3s	2492×	body	1280	valid
3.4s	16111×	body	80	nan
1.2s	1231×	body	640	valid
415.0ms	638×	body	320	valid
183.0ms	331×	body	160	valid
29.0ms	9×	body	5120	nan
27.0ms	118×	body	80	valid
13.0ms	8×	body	2560	nan
9.0ms	10×	body	640	nan
6.0ms	9×	body	320	nan
5.0ms	4×	body	1280	nan
4.0ms	9×	body	160	nan