Details

sample622.0ms

Algorithm

intervals

Results

435.0ms	265×	body	10240	exit
41.0ms	101×	body	80	valid
37.0ms	65×	body	1280	valid
33.0ms	12×	body	160	valid
16.0ms	47×	body	640	valid
10.0ms	191×	body	80	nan
8.0ms	5×	body	2560	valid
5.0ms	25×	body	320	valid
2.0ms	1×	body	5120	valid

simplify23.0ms

Counts

1 → 1

Iterations

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

prune443.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize25.0ms

Local error

Found 1 expressions with local error:

35.9b

(fmod (cosh c) (log1p a))

rewrite4.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(fmod (cosh c) (log1p a))

simplify3.4s

Counts

12 → 12

Iterations

Iter	Nodes
done	5002
9	1174
8	364
7	158
6	89
5	59
4	40
3	32
2	26
1	21
0	14

prune86.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 31.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 84

Calls

4 calls:

2.0ms	(sqrt (fmod (cosh c) (log1p a)))
23.0ms	(* (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))

series35.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify2.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
4	2010
3	480
2	197
1	120
0	63

prune414.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 31.7b

localize114.0ms

Local error

Found 4 expressions with local error:

35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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))

series19.0ms

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))

simplify3.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
9	1174
8	364
7	158
6	89
5	59
4	40
3	32
2	26
1	21
0	14

prune368.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 31.7b

localize40.0ms

Local error

Found 4 expressions with local error:

35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(fmod (cosh c) (log1p a))
35.9b	(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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

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))

series16.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.1s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
9	1174
8	364
7	158
6	89
5	59
4	40
3	32
2	26
1	21
0	14

prune358.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 31.7b

regimes782.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 33.9b and baseline of 34.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample19.1s

Algorithm

intervals

Results

14.5s	7798×	body	10240	exit
1.9s	2261×	body	1280	valid
723.0ms	1580×	body	640	valid
394.0ms	5234×	body	80	nan
316.0ms	154×	body	2560	valid
222.0ms	2810×	body	80	valid
184.0ms	792×	body	320	valid
68.0ms	395×	body	160	valid
22.0ms	8×	body	5120	valid