Details

sample764.0ms

Algorithm

intervals

Results

488.0ms	211×	body	10240	exit
167.0ms	89×	body	1280	valid
34.0ms	55×	body	640	valid
18.0ms	161×	body	80	nan
13.0ms	25×	body	320	valid
10.0ms	77×	body	80	valid
3.0ms	9×	body	160	valid
2.0ms	1×	body	2560	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.1b

localize13.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fmod (cosh c) (log1p a))

simplify4.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5022
10	3594
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune67.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.0b

localize16.0ms

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))

rewrite11.0ms

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×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 72

Calls

3 calls:

10.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series8.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5034
4	2062
3	476
2	197
1	121
0	62

prune377.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 37.0b

localize28.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify4.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5022
10	3594
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune425.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 37.0b

localize65.0ms

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))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify4.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5022
10	3594
9	1202
8	719
7	383
6	88
5	53
4	41
3	33
2	27
1	22
0	15

prune411.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 37.0b

regimes695.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample22.4s

Algorithm

intervals

Results

16.0s	7623×	body	10240	exit
3.0s	2315×	body	1280	valid
942.0ms	1535×	body	640	valid
669.0ms	5285×	body	80	nan
358.0ms	815×	body	320	valid
347.0ms	2776×	body	80	valid
265.0ms	138×	body	2560	valid
126.0ms	408×	body	160	valid
38.0ms	13×	body	5120	valid