Details

sample463.0ms

Algorithm

intervals

Results

301.0ms	211×	body	10240	exit
60.0ms	89×	body	1280	valid
49.0ms	161×	body	80	nan
19.0ms	55×	body	640	valid
5.0ms	77×	body	80	valid
4.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	1×	body	2560	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	14
1	11
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.1b

localize20.0ms

Local error

Found 1 expressions with local error:

42.0b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 8

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(fmod (cosh c) (log1p a))

simplify3.8s

Counts

11 → 11

Iterations

Iter	Nodes
done	5001
9	1042
8	316
7	132
6	77
5	51
4	39
3	31
2	25
1	20
0	13

prune72.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `insert-posit16` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 66

Calls

3 calls:

19.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series20.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

simplify5.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
4	3779
3	724
2	320
1	114
0	58

prune329.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 37.0b

localize55.0ms

Local error

Found 4 expressions with local error:

42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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 c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify4.0s

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
9	1042
8	316
7	132
6	77
5	51
4	39
3	31
2	25
1	20
0	13

prune383.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 37.0b

localize77.0ms

Local error

Found 4 expressions with local error:

42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))
42.0b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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 c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify3.4s

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
9	1042
8	316
7	132
6	77
5	51
4	39
3	31
2	25
1	20
0	13

prune331.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 37.0b

regimes645.0ms

Accuracy

0% (0.1b remaining)

Error of 34.2b against oracle of 34.1b and baseline of 34.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample18.2s

Algorithm

intervals

Results

13.6s	7623×	body	10240	exit
2.1s	2315×	body	1280	valid
864.0ms	1535×	body	640	valid
337.0ms	5285×	body	80	nan
276.0ms	815×	body	320	valid
229.0ms	2776×	body	80	valid
216.0ms	138×	body	2560	valid
70.0ms	408×	body	160	valid
33.0ms	13×	body	5120	valid