Details

sample1.2s

Algorithm

intervals

Results

751.0ms	271×	body	10240	exit
217.0ms	81×	body	2560	valid
86.0ms	80×	body	1280	valid
38.0ms	522×	body	80	nan
28.0ms	49×	body	640	valid
12.0ms	27×	body	320	valid
5.0ms	16×	body	160	valid
0.0ms	3×	body	80	valid

simplify2.8s

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: 60.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

17.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series153.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	3062
2	508
1	132
0	54

prune323.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.6b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 51

Calls

4 calls:

5.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series195.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

simplify418.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	774
1	198
0	81

prune292.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.8b

localize57.0ms

Local error

Found 4 expressions with local error:

4.3b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
4.3b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `add-exp-log`
4×	`add-cbrt-cube` `log-pow` `add-log-exp`
2×	`pow1/3` `rem-log-exp`

Counts

4 → 46

Calls

4 calls:

2.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series590.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
285.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5004
7	3166
6	1025
5	442
4	218
3	137
2	91
1	60
0	42

prune594.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 58.8b

localize64.0ms

Local error

Found 4 expressions with local error:

4.4b	(log (cbrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
59.5b	(fmod (cosh a) (pow a 2))
59.5b	(fmod (cosh a) (pow a 2))
59.5b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

3.0ms	(log (cbrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (* a a))

series363.0ms

Counts

4 → 12

Calls

4 calls:

356.0ms	(log (cbrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
2.0ms	(fmod (cosh a) (pow a 2))
2.0ms	(fmod (cosh a) (pow a 2))
3.0ms	(fmod (cosh a) (* a a))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
7	3044
6	1044
5	458
4	234
3	153
2	109
1	82
0	61

prune959.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 58.8b

regimes534.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample32.7s

Algorithm

intervals

Results

19.2s	7953×	body	10240	exit
6.8s	3171×	body	2560	valid
2.4s	2487×	body	1280	valid
2.2s	16166×	body	80	nan
751.0ms	1227×	body	640	valid
311.0ms	674×	body	320	valid
83.0ms	322×	body	160	valid
16.0ms	6×	body	5120	nan
16.0ms	119×	body	80	valid
7.0ms	5×	body	2560	nan
5.0ms	10×	body	640	nan
5.0ms	7×	body	1280	nan
2.0ms	7×	body	320	nan
2.0ms	9×	body	160	nan